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Zeros_of_J0_and_J1.h
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Zeros_of_J0_and_J1.h
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/*
Copyright (C) 1995 The GeoFramework Consortium
This file is part of Ellipsis3D.
Ellipsis3D is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License, version 2,
as published by the Free Software Foundation.
Ellipsis3D is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
Author:
Louis Moresi <[email protected]>
*/
/* Table of the first few (hundred) zeros
of the bessel functions of the first
kind J0 and J1. The first 10 are obtained
from tables and the rest from McMahon's
method. Include this file into a C program
to have access to the zeros. */
/* Tables */
Zj0[0] = 0.00000; Zj1[0] = 0.0000;
Zj0[1] = 2.40482556; Zj1[1] = 3.83171;
Zj0[2] = 5.52007811; Zj1[2] = 7.01559;
Zj0[3] = 8.65372791; Zj1[3] = 10.17347;
Zj0[4] = 11.79153444; Zj1[4] = 13.32369;
Zj0[5] = 14.93091771; Zj1[5] = 16.47063;
Zj0[6] = 18.07106397; Zj1[6] = 19.61586;
Zj0[7] = 21.21163663; Zj1[7] = 22.76008;
Zj0[8] = 24.35247153; Zj1[8] = 25.90367;
Zj0[9] = 27.49347913; Zj1[9] = 29.04683;
/* From McMahon series */
Zj0[10] = 30.63460647 ;
Zj0[11] = 33.77582021 ;
Zj0[12] = 36.91709835 ;
Zj0[13] = 40.05842576 ;
Zj0[14] = 43.19979171 ;
Zj0[15] = 46.34118837 ;
Zj0[16] = 49.48260990 ;
Zj0[17] = 52.62405184 ;
Zj0[18] = 55.76551076 ;
Zj0[19] = 58.90698393 ;
Zj0[20] = 62.04846919 ;
Zj0[21] = 65.18996480 ;
Zj0[22] = 68.33146933 ;
Zj0[23] = 71.47298160 ;
Zj0[24] = 74.61450064 ;
Zj0[25] = 77.75602563 ;
Zj0[26] = 80.89755587 ;
Zj0[27] = 84.03909078 ;
Zj0[28] = 87.18062984 ;
Zj0[29] = 90.32217264 ;
Zj0[30] = 93.46371878 ;
Zj0[31] = 96.60526795 ;
Zj0[32] = 99.74681986 ;
Zj0[33] = 102.88837425 ;
Zj0[34] = 106.02993092 ;
Zj0[35] = 109.17148965 ;
Zj0[36] = 112.31305028 ;
Zj0[37] = 115.45461265 ;
Zj0[38] = 118.59617663 ;
Zj0[39] = 121.73774209 ;
Zj0[40] = 124.87930891 ;
Zj0[41] = 128.02087701 ;
Zj0[42] = 131.16244628 ;
Zj0[43] = 134.30401664 ;
Zj0[44] = 137.44558802 ;
Zj0[45] = 140.58716035 ;
Zj0[46] = 143.72873357 ;
Zj0[47] = 146.87030763 ;
Zj0[48] = 150.01188246 ;
Zj0[49] = 153.15345802 ;
Zj0[50] = 156.29503427 ;
Zj0[51] = 159.43661116 ;
Zj0[52] = 162.57818867 ;
Zj0[53] = 165.71976675 ;
Zj0[54] = 168.86134537 ;
Zj0[55] = 172.00292450 ;
Zj0[56] = 175.14450412 ;
Zj0[57] = 178.28608420 ;
Zj0[58] = 181.42766471 ;
Zj0[59] = 184.56924564 ;
Zj0[60] = 187.71082696 ;
Zj0[61] = 190.85240865 ;
Zj0[62] = 193.99399070 ;
Zj0[63] = 197.13557309 ;
Zj0[64] = 200.27715579 ;
Zj0[65] = 203.41873881 ;
Zj0[66] = 206.56032212 ;
Zj0[67] = 209.70190570 ;
Zj0[68] = 212.84348956 ;
Zj0[69] = 215.98507367 ;
Zj0[70] = 219.12665803 ;
Zj0[71] = 222.26824262 ;
Zj0[72] = 225.40982743 ;
Zj0[73] = 228.55141247 ;
Zj0[74] = 231.69299770 ;
Zj0[75] = 234.83458314 ;
Zj0[76] = 237.97616877 ;
Zj0[77] = 241.11775458 ;
Zj0[78] = 244.25934056 ;
Zj0[79] = 247.40092672 ;
Zj0[80] = 250.54251304 ;
Zj0[81] = 253.68409951 ;
Zj0[82] = 256.82568614 ;
Zj0[83] = 259.96727291 ;
Zj0[84] = 263.10885982 ;
Zj0[85] = 266.25044687 ;
Zj0[86] = 269.39203405 ;
Zj0[87] = 272.53362135 ;
Zj0[88] = 275.67520878 ;
Zj0[89] = 278.81679633 ;
Zj0[90] = 281.95838398 ;
Zj0[91] = 285.09997175 ;
Zj0[92] = 288.24155963 ;
Zj0[93] = 291.38314761 ;
Zj0[94] = 294.52473568 ;
Zj0[95] = 297.66632386 ;
Zj0[96] = 300.80791213 ;
Zj0[97] = 303.94950049 ;
Zj0[98] = 307.09108893 ;
Zj0[99] = 310.23267746 ;
Zj0[100] = 313.37426608 ;
/*Zj0[101] = 316.51585477 ;
Zj0[102] = 319.65744354 ;
Zj0[103] = 322.79903239 ;
Zj0[104] = 325.94062131 ;
Zj0[105] = 329.08221031 ;
Zj0[106] = 332.22379937 ;
Zj0[107] = 335.36538850 ;
Zj0[108] = 338.50697769 ;
Zj0[109] = 341.64856695 ;
Zj0[110] = 344.79015627 ;
Zj0[111] = 347.93174565 ;
Zj0[112] = 351.07333509 ;
Zj0[113] = 354.21492458 ;
Zj0[114] = 357.35651414 ;
Zj0[115] = 360.49810374 ;
Zj0[116] = 363.63969340 ;
Zj0[117] = 366.78128311 ;
Zj0[118] = 369.92287287 ;
Zj0[119] = 373.06446268 ;
Zj0[120] = 376.20605253 ;
Zj0[121] = 379.34764243 ;
Zj0[122] = 382.48923238 ;
Zj0[123] = 385.63082237 ;
Zj0[124] = 388.77241241 ;
Zj0[125] = 391.91400248 ;
Zj0[126] = 395.05559260 ;
Zj0[127] = 398.19718276 ;
Zj0[128] = 401.33877295 ;
Zj0[129] = 404.48036319 ;
Zj0[130] = 407.62195346 ;
Zj0[131] = 410.76354377 ;
Zj0[132] = 413.90513411 ;
Zj0[133] = 417.04672449 ;
Zj0[134] = 420.18831490 ;
Zj0[135] = 423.32990535 ;
Zj0[136] = 426.47149583 ;
Zj0[137] = 429.61308634 ;
Zj0[138] = 432.75467688 ;
Zj0[139] = 435.89626745 ;
Zj0[140] = 439.03785805 ;
Zj0[141] = 442.17944868 ;
Zj0[142] = 445.32103934 ;
Zj0[143] = 448.46263003 ;
Zj0[144] = 451.60422074 ;
Zj0[145] = 454.74581149 ;
Zj0[146] = 457.88740225 ;
Zj0[147] = 461.02899305 ;
Zj0[148] = 464.17058386 ;
Zj0[149] = 467.31217471 ;
Zj0[150] = 470.45376558 ;
Zj0[151] = 473.59535647 ;
Zj0[152] = 476.73694738 ;
Zj0[153] = 479.87853832 ;
Zj0[154] = 483.02012928 ;
Zj0[155] = 486.16172026 ;
Zj0[156] = 489.30331126 ;
Zj0[157] = 492.44490229 ;
Zj0[158] = 495.58649333 ;
Zj0[159] = 498.72808439 ;
Zj0[160] = 501.86967548 ;
Zj0[161] = 505.01126658 ;
Zj0[162] = 508.15285771 ;
Zj0[163] = 511.29444885 ;
Zj0[164] = 514.43604001 ;
Zj0[165] = 517.57763119 ;
Zj0[166] = 520.71922238 ;
Zj0[167] = 523.86081360 ;
Zj0[168] = 527.00240483 ;
Zj0[169] = 530.14399608 ;
Zj0[170] = 533.28558734 ;
Zj0[171] = 536.42717862 ;
Zj0[172] = 539.56876992 ;
Zj0[173] = 542.71036123 ;
Zj0[174] = 545.85195256 ;
Zj0[175] = 548.99354390 ;
Zj0[176] = 552.13513526 ;
Zj0[177] = 555.27672663 ;
Zj0[178] = 558.41831802 ;
Zj0[179] = 561.55990942 ;
Zj0[180] = 564.70150084 ;
Zj0[181] = 567.84309227 ;
Zj0[182] = 570.98468371 ;
Zj0[183] = 574.12627517 ;
Zj0[184] = 577.26786663 ;
Zj0[185] = 580.40945812 ;
Zj0[186] = 583.55104961 ;
Zj0[187] = 586.69264112 ;
Zj0[188] = 589.83423264 ;
Zj0[189] = 592.97582417 ;
Zj0[190] = 596.11741571 ;
Zj0[191] = 599.25900726 ;
Zj0[192] = 602.40059883 ;
Zj0[193] = 605.54219041 ;
Zj0[194] = 608.68378199 ;
Zj0[195] = 611.82537359 ;
Zj0[196] = 614.96696520 ;
Zj0[197] = 618.10855682 ;
Zj0[198] = 621.25014845 ;
Zj0[199] = 624.39174010 ;
Zj0[200] = 627.53333175 ;
Zj0[201] = 630.67492341 ;
Zj0[202] = 633.81651508 ;
Zj0[203] = 636.95810676 ;
Zj0[204] = 640.09969845 ;
Zj0[205] = 643.24129015 ;
Zj0[206] = 646.38288186 ;
Zj0[207] = 649.52447358 ;
Zj0[208] = 652.66606531 ;
Zj0[209] = 655.80765704 ;
Zj0[210] = 658.94924879 ;
Zj0[211] = 662.09084054 ;
Zj0[212] = 665.23243230 ;
Zj0[213] = 668.37402407 ;
Zj0[214] = 671.51561585 ;
Zj0[215] = 674.65720764 ;
Zj0[216] = 677.79879943 ;
Zj0[217] = 680.94039124 ;
Zj0[218] = 684.08198305 ;
Zj0[219] = 687.22357486 ;
Zj0[220] = 690.36516669 ;
Zj0[221] = 693.50675852 ;
Zj0[222] = 696.64835036 ;
Zj0[223] = 699.78994221 ;
Zj0[224] = 702.93153407 ;
Zj0[225] = 706.07312593 ;
Zj0[226] = 709.21471780 ;
Zj0[227] = 712.35630968 ;
Zj0[228] = 715.49790156 ;
Zj0[229] = 718.63949345 ;
Zj0[230] = 721.78108534 ;
Zj0[231] = 724.92267725 ;
Zj0[232] = 728.06426916 ;
Zj0[233] = 731.20586107 ;
Zj0[234] = 734.34745300 ;
Zj0[235] = 737.48904492 ;
Zj0[236] = 740.63063686 ;
Zj0[237] = 743.77222880 ;
Zj0[238] = 746.91382075 ;
Zj0[239] = 750.05541270 ;
Zj0[240] = 753.19700466 ;
Zj0[241] = 756.33859662 ;
Zj0[242] = 759.48018859 ;
Zj0[243] = 762.62178057 ;
Zj0[244] = 765.76337255 ;
Zj0[245] = 768.90496453 ;
Zj0[246] = 772.04655653 ;
Zj0[247] = 775.18814852 ;
Zj0[248] = 778.32974053 ;
Zj0[249] = 781.47133254 ;
Zj0[250] = 784.61292455 ;
Zj0[251] = 787.75451657 ;
Zj0[252] = 790.89610859 ;
Zj0[253] = 794.03770062 ;
Zj0[254] = 797.17929265 ;
Zj0[255] = 800.32088469 ;
Zj0[256] = 803.46247673 ;
Zj0[257] = 806.60406878 ;
Zj0[258] = 809.74566083 ;
Zj0[259] = 812.88725289 ;
Zj0[260] = 816.02884495 ;
Zj0[261] = 819.17043702 ;
Zj0[262] = 822.31202909 ;
Zj0[263] = 825.45362116 ;
Zj0[264] = 828.59521324 ;
Zj0[265] = 831.73680533 ;
Zj0[266] = 834.87839741 ;
Zj0[267] = 838.01998951 ;
Zj0[268] = 841.16158160 ;
Zj0[269] = 844.30317370 ;
Zj0[270] = 847.44476581 ;
Zj0[271] = 850.58635792 ;
Zj0[272] = 853.72795003 ;
Zj0[273] = 856.86954215 ;
Zj0[274] = 860.01113427 ;
Zj0[275] = 863.15272639 ;
Zj0[276] = 866.29431852 ;
Zj0[277] = 869.43591065 ;
Zj0[278] = 872.57750279 ;
Zj0[279] = 875.71909493 ;
Zj0[280] = 878.86068707 ;
Zj0[281] = 882.00227922 ;
Zj0[282] = 885.14387137 ;
Zj0[283] = 888.28546352 ;
Zj0[284] = 891.42705568 ;
Zj0[285] = 894.56864784 ;
Zj0[286] = 897.71024001 ;
Zj0[287] = 900.85183217 ;
Zj0[288] = 903.99342435 ;
Zj0[289] = 907.13501652 ;
Zj0[290] = 910.27660870 ;
Zj0[291] = 913.41820088 ;
Zj0[292] = 916.55979306 ;
Zj0[293] = 919.70138525 ;
Zj0[294] = 922.84297744 ;
Zj0[295] = 925.98456964 ;
Zj0[296] = 929.12616183 ;
Zj0[297] = 932.26775403 ;
Zj0[298] = 935.40934624 ;
Zj0[299] = 938.55093844 ;
Zj0[300] = 941.69253065 ;
Zj0[301] = 944.83412287 ;
Zj0[302] = 947.97571508 ;
Zj0[303] = 951.11730730 ;
Zj0[304] = 954.25889952 ;
Zj0[305] = 957.40049174 ;
Zj0[306] = 960.54208397 ;
Zj0[307] = 963.68367620 ;
Zj0[308] = 966.82526843 ;
Zj0[309] = 969.96686067 ;
Zj0[310] = 973.10845290 ;
Zj0[311] = 976.25004514 ;
Zj0[312] = 979.39163739 ;
Zj0[313] = 982.53322963 ;
Zj0[314] = 985.67482188 ;
Zj0[315] = 988.81641413 ;
Zj0[316] = 991.95800638 ;
Zj0[317] = 995.09959864 ;
Zj0[318] = 998.24119090 ;
Zj0[319] = 1001.38278316 ;
Zj0[320] = 1004.52437542 ;
Zj0[321] = 1007.66596769 ;
Zj0[322] = 1010.80755996 ;
Zj0[323] = 1013.94915223 ;
Zj0[324] = 1017.09074450 ;
Zj0[325] = 1020.23233677 ;
Zj0[326] = 1023.37392905 ;
Zj0[327] = 1026.51552133 ;
Zj0[328] = 1029.65711361 ;
Zj0[329] = 1032.79870590 ;
Zj0[330] = 1035.94029818 ;
Zj0[331] = 1039.08189047 ;
Zj0[332] = 1042.22348276 ;
Zj0[333] = 1045.36507506 ;
Zj0[334] = 1048.50666735 ;
Zj0[335] = 1051.64825965 ;
Zj0[336] = 1054.78985195 ;
Zj0[337] = 1057.93144425 ;
Zj0[338] = 1061.07303656 ;
Zj0[339] = 1064.21462886 ;
Zj0[340] = 1067.35622117 ;
Zj0[341] = 1070.49781348 ;
Zj0[342] = 1073.63940579 ;
Zj0[343] = 1076.78099810 ;
Zj0[344] = 1079.92259042 ;
Zj0[345] = 1083.06418274 ;
Zj0[346] = 1086.20577506 ;
Zj0[347] = 1089.34736738 ;
Zj0[348] = 1092.48895970 ;
Zj0[349] = 1095.63055203 ;
Zj0[350] = 1098.77214436 ;
Zj0[351] = 1101.91373669 ;
Zj0[352] = 1105.05532902 ;
Zj0[353] = 1108.19692135 ;
Zj0[354] = 1111.33851368 ;
Zj0[355] = 1114.48010602 ;
Zj0[356] = 1117.62169836 ;
Zj0[357] = 1120.76329070 ;
Zj0[358] = 1123.90488304 ;
Zj0[359] = 1127.04647538 ;
Zj0[360] = 1130.18806773 ;
Zj0[361] = 1133.32966008 ;
Zj0[362] = 1136.47125243 ;
Zj0[363] = 1139.61284478 ;
Zj0[364] = 1142.75443713 ;
Zj0[365] = 1145.89602948 ;
Zj0[366] = 1149.03762184 ;
Zj0[367] = 1152.17921419 ;
Zj0[368] = 1155.32080655 ;
Zj0[369] = 1158.46239891 ;
Zj0[370] = 1161.60399127 ;
Zj0[371] = 1164.74558364 ;
Zj0[372] = 1167.88717600 ;
Zj0[373] = 1171.02876837 ;
Zj0[374] = 1174.17036074 ;
Zj0[375] = 1177.31195311 ;
Zj0[376] = 1180.45354548 ;
Zj0[377] = 1183.59513785 ;
Zj0[378] = 1186.73673022 ;
Zj0[379] = 1189.87832260 ;
Zj0[380] = 1193.01991498 ;
Zj0[381] = 1196.16150736 ;
Zj0[382] = 1199.30309974 ;
Zj0[383] = 1202.44469212 ;
Zj0[384] = 1205.58628450 ;
Zj0[385] = 1208.72787688 ;
Zj0[386] = 1211.86946927 ;
Zj0[387] = 1215.01106166 ;
Zj0[388] = 1218.15265404 ;
Zj0[389] = 1221.29424643 ;
Zj0[390] = 1224.43583882 ;
Zj0[391] = 1227.57743122 ;
Zj0[392] = 1230.71902361 ;
Zj0[393] = 1233.86061601 ;
Zj0[394] = 1237.00220840 ;
Zj0[395] = 1240.14380080 ;
Zj0[396] = 1243.28539320 ;
Zj0[397] = 1246.42698560 ;
Zj0[398] = 1249.56857800 ;
Zj0[399] = 1252.71017040 ;
Zj0[400] = 1255.85176281 ;
Zj0[401] = 1258.99335521 ;
Zj0[402] = 1262.13494762 ;
Zj0[403] = 1265.27654003 ;
Zj0[404] = 1268.41813243 ;
Zj0[405] = 1271.55972484 ;
Zj0[406] = 1274.70131726 ;
Zj0[407] = 1277.84290967 ;
Zj0[408] = 1280.98450208 ;
Zj0[409] = 1284.12609450 ;
Zj0[410] = 1287.26768691 ;
Zj0[411] = 1290.40927933 ;
Zj0[412] = 1293.55087175 ;
Zj0[413] = 1296.69246417 ;
Zj0[414] = 1299.83405659 ;
Zj0[415] = 1302.97564901 ;
Zj0[416] = 1306.11724143 ;
Zj0[417] = 1309.25883386 ;
Zj0[418] = 1312.40042628 ;
Zj0[419] = 1315.54201871 ;
Zj0[420] = 1318.68361114 ;
Zj0[421] = 1321.82520356 ;
Zj0[422] = 1324.96679599 ;
Zj0[423] = 1328.10838842 ;
Zj0[424] = 1331.24998086 ;
Zj0[425] = 1334.39157329 ;
Zj0[426] = 1337.53316572 ;
Zj0[427] = 1340.67475816 ;
Zj0[428] = 1343.81635059 ;
Zj0[429] = 1346.95794303 ;
Zj0[430] = 1350.09953547 ;
Zj0[431] = 1353.24112790 ;
Zj0[432] = 1356.38272034 ;
Zj0[433] = 1359.52431278 ;
Zj0[434] = 1362.66590523 ;
Zj0[435] = 1365.80749767 ;
Zj0[436] = 1368.94909011 ;
Zj0[437] = 1372.09068256 ;
Zj0[438] = 1375.23227500 ;
Zj0[439] = 1378.37386745;
Zj0[440] = 1381.51545990 ;
Zj0[441] = 1384.65705234 ;
Zj0[442] = 1387.79864479 ;
Zj0[443] = 1390.94023724 ;
Zj0[444] = 1394.08182970 ;
Zj0[445] = 1397.22342215 ;
Zj0[446] = 1400.36501460 ;
Zj0[447] = 1403.50660705 ;
Zj0[448] = 1406.64819951 ;
Zj0[449] = 1409.78979196 ;
Zj0[450] = 1412.93138442 ;
Zj0[451] = 1416.07297688 ;
Zj0[452] = 1419.21456934 ;
Zj0[453] = 1422.35616180 ;
Zj0[454] = 1425.49775426 ;
Zj0[455] = 1428.63934672 ;
Zj0[456] = 1431.78093918 ;
Zj0[457] = 1434.92253164 ;
Zj0[458] = 1438.06412410 ;
Zj0[459] = 1441.20571657 ;
Zj0[460] = 1444.34730903 ;
Zj0[461] = 1447.48890150 ;
Zj0[462] = 1450.63049396 ;
Zj0[463] = 1453.77208643 ;
Zj0[464] = 1456.91367890 ;
Zj0[465] = 1460.05527137 ;
Zj0[466] = 1463.19686384 ;
Zj0[467] = 1466.33845631 ;
Zj0[468] = 1469.48004878 ;
Zj0[469] = 1472.62164125 ;
Zj0[470] = 1475.76323373 ;
Zj0[471] = 1478.90482620 ;
Zj0[472] = 1482.04641867 ;
Zj0[473] = 1485.18801115 ;
Zj0[474] = 1488.32960362 ;
Zj0[475] = 1491.47119610 ;
Zj0[476] = 1494.61278858 ;
Zj0[477] = 1497.75438106 ;
Zj0[478] = 1500.89597354 ;
Zj0[479] = 1504.03756602 ;
Zj0[480] = 1507.17915850 ;
Zj0[481] = 1510.32075098 ;
Zj0[482] = 1513.46234346 ;
Zj0[483] = 1516.60393594 ;
Zj0[484] = 1519.74552842 ;
Zj0[485] = 1522.88712091 ;
Zj0[486] = 1526.02871339 ;
Zj0[487] = 1529.17030588 ;
Zj0[488] = 1532.31189836 ;
Zj0[489] = 1535.45349085 ;
Zj0[490] = 1538.59508334 ;
Zj0[491] = 1541.73667583 ;
Zj0[492] = 1544.87826832 ;
Zj0[493] = 1548.01986080 ;
Zj0[494] = 1551.16145329 ;
Zj0[495] = 1554.30304579 ;
Zj0[496] = 1557.44463828 ;
Zj0[497] = 1560.58623077 ;
Zj0[498] = 1563.72782326 ;
Zj0[499] = 1566.86941575 ;
Zj0[500] = 1570.01100825 ;
Zj0[501] = 1573.15260074 ;
Zj0[502] = 1576.29419324 ;
Zj0[503] = 1579.43578573 ;
Zj0[504] = 1582.57737823 ;
Zj0[505] = 1585.71897073 ;
Zj0[506] = 1588.86056323 ;
Zj0[507] = 1592.00215572 ;
Zj0[508] = 1595.14374822 ;
Zj0[509] = 1598.28534072 ;
Zj0[510] = 1601.42693322 ;
Zj0[511] = 1604.56852572 ;
Zj0[512] = 1607.71011822 ;
Zj0[513] = 1610.85171073 ;
Zj0[514] = 1613.99330323 ;
Zj0[515] = 1617.13489573 ;
Zj0[516] = 1620.27648824 ;
Zj0[517] = 1623.41808074 ;
Zj0[518] = 1626.55967325 ;
Zj0[519] = 1629.70126575 ;
Zj0[520] = 1632.84285826 ;
Zj0[521] = 1635.98445076 ;
Zj0[522] = 1639.12604327 ;
Zj0[523] = 1642.26763578 ;
Zj0[524] = 1645.40922829 ;
Zj0[525] = 1648.55082080 ;
Zj0[526] = 1651.69241330 ;
Zj0[527] = 1654.83400581 ;
Zj0[528] = 1657.97559833 ;
Zj0[529] = 1661.11719084 ;
Zj0[530] = 1664.25878335 ;
Zj0[531] = 1667.40037586 ;
Zj0[532] = 1670.54196837 ;
Zj0[533] = 1673.68356089 ;
Zj0[534] = 1676.82515340 ;
Zj0[535] = 1679.96674591 ;
Zj0[536] = 1683.10833843 ;
Zj0[537] = 1686.24993094 ;
Zj0[538] = 1689.39152346 ;
Zj0[539] = 1692.53311598 ;
Zj0[540] = 1695.67470849 ;
Zj0[541] = 1698.81630101 ;
Zj0[542] = 1701.95789353 ;
Zj0[543] = 1705.09948605 ;
Zj0[544] = 1708.24107856 ;
Zj0[545] = 1711.38267108 ;
Zj0[546] = 1714.52426360 ;
Zj0[547] = 1717.66585612 ;
Zj0[548] = 1720.80744864 ;
Zj0[549] = 1723.94904117 ;
Zj0[550] = 1727.09063369 ;
Zj0[551] = 1730.23222621 ;
Zj0[552] = 1733.37381873 ;
Zj0[553] = 1736.51541125 ;
Zj0[554] = 1739.65700378 ;
Zj0[555] = 1742.79859630 ;
Zj0[556] = 1745.94018883 ;
Zj0[557] = 1749.08178135 ;
Zj0[558] = 1752.22337388 ;
Zj0[559] = 1755.36496640 ;
Zj0[560] = 1758.50655893 ;
Zj0[561] = 1761.64815146 ;
Zj0[562] = 1764.78974398 ;
Zj0[563] = 1767.93133651 ;
Zj0[564] = 1771.07292904 ;
Zj0[565] = 1774.21452157 ;
Zj0[566] = 1777.35611410 ;
Zj0[567] = 1780.49770663 ;
Zj0[568] = 1783.63929916 ;
Zj0[569] = 1786.78089169 ;
Zj0[570] = 1789.92248422 ;
Zj0[571] = 1793.06407675 ;
Zj0[572] = 1796.20566928 ;
Zj0[573] = 1799.34726181 ;
Zj0[574] = 1802.48885435 ;
Zj0[575] = 1805.63044688 ;
Zj0[576] = 1808.77203941 ;
Zj0[577] = 1811.91363195 ;
Zj0[578] = 1815.05522448 ;
Zj0[579] = 1818.19681701 ;
Zj0[580] = 1821.33840955 ;
Zj0[581] = 1824.48000208 ;
Zj0[582] = 1827.62159462 ;
Zj0[583] = 1830.76318716 ;
Zj0[584] = 1833.90477969 ;
Zj0[585] = 1837.04637223 ;
Zj0[586] = 1840.18796477 ;
Zj0[587] = 1843.32955731 ;
Zj0[588] = 1846.47114984 ;
Zj0[589] = 1849.61274238 ;
Zj0[590] = 1852.75433492 ;
Zj0[591] = 1855.89592746 ;
Zj0[592] = 1859.03752000 ;
Zj0[593] = 1862.17911254 ;
Zj0[594] = 1865.32070508 ;
Zj0[595] = 1868.46229762 ;
Zj0[596] = 1871.60389016 ;
Zj0[597] = 1874.74548271 ;
Zj0[598] = 1877.88707525 ;
Zj0[599] = 1881.02866779 ;
Zj0[600] = 1884.17026033 ;
Zj0[601] = 1887.31185288 ;
Zj0[602] = 1890.45344542 ;
Zj0[603] = 1893.59503796 ;
Zj0[604] = 1896.73663051 ;
Zj0[605] = 1899.87822305 ;
Zj0[606] = 1903.01981560 ;
Zj0[607] = 1906.16140814 ;
Zj0[608] = 1909.30300069 ;
Zj0[609] = 1912.44459323 ;
Zj0[610] = 1915.58618578 ;
Zj0[611] = 1918.72777833 ;
Zj0[612] = 1921.86937087 ;
Zj0[613] = 1925.01096342 ;
Zj0[614] = 1928.15255597 ;
Zj0[615] = 1931.29414852 ;
Zj0[616] = 1934.43574107 ;
Zj0[617] = 1937.57733362 ;
Zj0[618] = 1940.71892616 ;
Zj0[619] = 1943.86051871 ;
Zj0[620] = 1947.00211126 ;
Zj0[621] = 1950.14370381 ;
Zj0[622] = 1953.28529636 ;
Zj0[623] = 1956.42688892 ;
Zj0[624] = 1959.56848147 ;
Zj0[625] = 1962.71007402 ;
Zj0[626] = 1965.85166657 ;
Zj0[627] = 1968.99325912 ;
Zj0[628] = 1972.13485167 ;
Zj0[629] = 1975.27644423 ;
Zj0[630] = 1978.41803678 ;
Zj0[631] = 1981.55962933 ;
Zj0[632] = 1984.70122189 ;
Zj0[633] = 1987.84281444 ;
Zj0[634] = 1990.98440700 ;
Zj0[635] = 1994.12599955 ;
Zj0[636] = 1997.26759211 ;
Zj0[637] = 2000.40918466 ;
Zj0[638] = 2003.55077722 ;
Zj0[639] = 2006.69236977 ;
Zj0[640] = 2009.83396233 ;
Zj0[641] = 2012.97555488 ;
Zj0[642] = 2016.11714744 ;
Zj0[643] = 2019.25874000 ;
Zj0[644] = 2022.40033256 ;
Zj0[645] = 2025.54192511 ;
Zj0[646] = 2028.68351767 ;
Zj0[647] = 2031.82511023 ;
Zj0[648] = 2034.96670279 ;
Zj0[649] = 2038.10829535 ;
Zj0[650] = 2041.24988791 ;
Zj0[651] = 2044.39148047 ;
Zj0[652] = 2047.53307303 ;
Zj0[653] = 2050.67466559 ;
Zj0[654] = 2053.81625815 ;
Zj0[655] = 2056.95785071 ;
Zj0[656] = 2060.09944327 ;
Zj0[657] = 2063.24103583 ;
Zj0[658] = 2066.38262839 ;
Zj0[659] = 2069.52422095 ;
Zj0[660] = 2072.66581351 ;
Zj0[661] = 2075.80740608 ;
Zj0[662] = 2078.94899864 ;
Zj0[663] = 2082.09059120 ;
Zj0[664] = 2085.23218377 ;
Zj0[665] = 2088.37377633 ;
Zj0[666] = 2091.51536889 ;
Zj0[667] = 2094.65696146 ;
Zj0[668] = 2097.79855402 ;
Zj0[669] = 2100.94014659 ;
Zj0[670] = 2104.08173915 ;
Zj0[671] = 2107.22333172 ;
Zj0[672] = 2110.36492428 ;
Zj0[673] = 2113.50651685 ;
Zj0[674] = 2116.64810941 ;
Zj0[675] = 2119.78970198 ;
Zj0[676] = 2122.93129454 ;
Zj0[677] = 2126.07288711 ;
Zj0[678] = 2129.21447968 ;
Zj0[679] = 2132.35607224 ;
Zj0[680] = 2135.49766481 ;
Zj0[681] = 2138.63925738 ;
Zj0[682] = 2141.78084995 ;
Zj0[683] = 2144.92244252 ;
Zj0[684] = 2148.06403508 ;
Zj0[685] = 2151.20562765 ;
Zj0[686] = 2154.34722022 ;
Zj0[687] = 2157.48881279 ;
Zj0[688] = 2160.63040536 ;
Zj0[689] = 2163.77199793 ;
Zj0[690] = 2166.91359050 ;
Zj0[691] = 2170.05518307 ;
Zj0[692] = 2173.19677564 ;
Zj0[693] = 2176.33836821 ;
Zj0[694] = 2179.47996078 ;
Zj0[695] = 2182.62155335 ;
Zj0[696] = 2185.76314592 ;
Zj0[697] = 2188.90473849 ;
Zj0[698] = 2192.04633107 ;
Zj0[699] = 2195.18792364 ;
Zj0[700] = 2198.32951621 ;
Zj0[701] = 2201.47110878 ;
Zj0[702] = 2204.61270136 ;
Zj0[703] = 2207.75429393 ;
Zj0[704] = 2210.89588650 ;
Zj0[705] = 2214.03747908 ;
Zj0[706] = 2217.17907165 ;
Zj0[707] = 2220.32066422 ;
Zj0[708] = 2223.46225680 ;
Zj0[709] = 2226.60384937 ;
Zj0[710] = 2229.74544195 ;
Zj0[711] = 2232.88703452 ;
Zj0[712] = 2236.02862710 ;
Zj0[713] = 2239.17021967 ;
Zj0[714] = 2242.31181225 ;
Zj0[715] = 2245.45340482 ;
Zj0[716] = 2248.59499740 ;
Zj0[717] = 2251.73658997 ;
Zj0[718] = 2254.87818255 ;
Zj0[719] = 2258.01977513 ;
Zj0[720] = 2261.16136770 ;
Zj0[721] = 2264.30296028 ;
Zj0[722] = 2267.44455286 ;
Zj0[723] = 2270.58614543 ;
Zj0[724] = 2273.72773801 ;
Zj0[725] = 2276.86933059 ;
Zj0[726] = 2280.01092317 ;
Zj0[727] = 2283.15251575 ;
Zj0[728] = 2286.29410832 ;
Zj0[729] = 2289.43570090 ;
Zj0[730] = 2292.57729348 ;
Zj0[731] = 2295.71888606 ;
Zj0[732] = 2298.86047864 ;
Zj0[733] = 2302.00207122 ;
Zj0[734] = 2305.14366380 ;
Zj0[735] = 2308.28525638 ;
Zj0[736] = 2311.42684896 ;
Zj0[737] = 2314.56844154 ;
Zj0[738] = 2317.71003412 ;
Zj0[739] = 2320.85162670 ;
Zj0[740] = 2323.99321928 ;
Zj0[741] = 2327.13481186 ;
Zj0[742] = 2330.27640444 ;
Zj0[743] = 2333.41799702 ;
Zj0[744] = 2336.55958960 ;
Zj0[745] = 2339.70118219 ;
Zj0[746] = 2342.84277477 ;
Zj0[747] = 2345.98436735 ;
Zj0[748] = 2349.12595993 ;
Zj0[749] = 2352.26755252 ;
Zj0[750] = 2355.40914510 ;
Zj0[751] = 2358.55073768 ;
Zj0[752] = 2361.69233026 ;
Zj0[753] = 2364.83392285 ;
Zj0[754] = 2367.97551543 ;
Zj0[755] = 2371.11710801 ;
Zj0[756] = 2374.25870060 ;
Zj0[757] = 2377.40029318 ;
Zj0[758] = 2380.54188577 ;
Zj0[759] = 2383.68347835 ;
Zj0[760] = 2386.82507094 ;
Zj0[761] = 2389.96666352 ;
Zj0[762] = 2393.10825611 ;
Zj0[763] = 2396.24984869 ;
Zj0[764] = 2399.39144128 ;
Zj0[765] = 2402.53303386 ;
Zj0[766] = 2405.67462645 ;
Zj0[767] = 2408.81621903 ;
Zj0[768] = 2411.95781162 ;
Zj0[769] = 2415.09940420 ;
Zj0[770] = 2418.24099679 ;
Zj0[771] = 2421.38258938 ;
Zj0[772] = 2424.52418196 ;
Zj0[773] = 2427.66577455 ;
Zj0[774] = 2430.80736714 ;
Zj0[775] = 2433.94895973 ;
Zj0[776] = 2437.09055231 ;
Zj0[777] = 2440.23214490 ;
Zj0[778] = 2443.37373749 ;
Zj0[779] = 2446.51533008 ;
Zj0[780] = 2449.65692266 ;
Zj0[781] = 2452.79851525 ;
Zj0[782] = 2455.94010784 ;
Zj0[783] = 2459.08170043 ;
Zj0[784] = 2462.22329302 ;
Zj0[785] = 2465.36488561 ;
Zj0[786] = 2468.50647820 ;
Zj0[787] = 2471.64807079 ;
Zj0[788] = 2474.78966337 ;
Zj0[789] = 2477.93125596 ;
Zj0[790] = 2481.07284855 ;
Zj0[791] = 2484.21444114 ;
Zj0[792] = 2487.35603373 ;
Zj0[793] = 2490.49762632 ;
Zj0[794] = 2493.63921891 ;
Zj0[795] = 2496.78081150 ;
Zj0[796] = 2499.92240410 ;
Zj0[797] = 2503.06399669 ;
Zj0[798] = 2506.20558928 ;
Zj0[799] = 2509.34718187 ;
Zj0[800] = 2512.48877446 ;
Zj0[801] = 2515.63036705 ;
Zj0[802] = 2518.77195964 ;
Zj0[803] = 2521.91355223 ;
Zj0[804] = 2525.05514483 ;
Zj0[805] = 2528.19673742 ;
Zj0[806] = 2531.33833001 ;
Zj0[807] = 2534.47992260 ;
Zj0[808] = 2537.62151520 ;
Zj0[809] = 2540.76310779 ;
Zj0[810] = 2543.90470038 ;
Zj0[811] = 2547.04629297 ;
Zj0[812] = 2550.18788557 ;
Zj0[813] = 2553.32947816 ;
Zj0[814] = 2556.47107075 ;
Zj0[815] = 2559.61266335 ;
Zj0[816] = 2562.75425594 ;
Zj0[817] = 2565.89584854 ;
Zj0[818] = 2569.03744113 ;
Zj0[819] = 2572.17903372 ;
Zj0[820] = 2575.32062632 ;
Zj0[821] = 2578.46221891 ;
Zj0[822] = 2581.60381151 ;
Zj0[823] = 2584.74540410 ;
Zj0[824] = 2587.88699670 ;
Zj0[825] = 2591.02858929 ;
Zj0[826] = 2594.17018189 ;
Zj0[827] = 2597.31177448 ;
Zj0[828] = 2600.45336708 ;
Zj0[829] = 2603.59495967 ;
Zj0[830] = 2606.73655227 ;
Zj0[831] = 2609.87814486 ;
Zj0[832] = 2613.01973746 ;
Zj0[833] = 2616.16133006 ;
Zj0[834] = 2619.30292265 ;
Zj0[835] = 2622.44451525 ;
Zj0[836] = 2625.58610785 ;
Zj0[837] = 2628.72770044 ;
Zj0[838] = 2631.86929304 ;
Zj0[839] = 2635.01088564 ;
Zj0[840] = 2638.15247823 ;
Zj0[841] = 2641.29407083 ;
Zj0[842] = 2644.43566343 ;
Zj0[843] = 2647.57725603 ;
Zj0[844] = 2650.71884862 ;
Zj0[845] = 2653.86044122 ;
Zj0[846] = 2657.00203382 ;
Zj0[847] = 2660.14362642 ;
Zj0[848] = 2663.28521902 ;
Zj0[849] = 2666.42681161 ;
Zj0[850] = 2669.56840421 ;
Zj0[851] = 2672.70999681 ;
Zj0[852] = 2675.85158941 ;
Zj0[853] = 2678.99318201 ;
Zj0[854] = 2682.13477461 ;
Zj0[855] = 2685.27636721 ;
Zj0[856] = 2688.41795981 ;
Zj0[857] = 2691.55955240 ;
Zj0[858] = 2694.70114500 ;
Zj0[859] = 2697.84273760 ;
Zj0[860] = 2700.98433020 ;
Zj0[861] = 2704.12592280 ;
Zj0[862] = 2707.26751540 ;
Zj0[863] = 2710.40910800 ;
Zj0[864] = 2713.55070060 ;
Zj0[865] = 2716.69229320 ;
Zj0[866] = 2719.83388580 ;
Zj0[867] = 2722.97547840 ;
Zj0[868] = 2726.11707101 ;
Zj0[869] = 2729.25866361 ;
Zj0[870] = 2732.40025621 ;
Zj0[871] = 2735.54184881 ;
Zj0[872] = 2738.68344141 ;
Zj0[873] = 2741.82503401 ;
Zj0[874] = 2744.96662661 ;
Zj0[875] = 2748.10821921 ;
Zj0[876] = 2751.24981182 ;
Zj0[877] = 2754.39140442 ;
Zj0[878] = 2757.53299702 ;
Zj0[879] = 2760.67458962 ;
Zj0[880] = 2763.81618222 ;
Zj0[881] = 2766.95777483 ;
Zj0[882] = 2770.09936743 ;
Zj0[883] = 2773.24096003 ;
Zj0[884] = 2776.38255263 ;
Zj0[885] = 2779.52414524 ;
Zj0[886] = 2782.66573784 ;
Zj0[887] = 2785.80733044 ;
Zj0[888] = 2788.94892304 ;
Zj0[889] = 2792.09051565 ;
Zj0[890] = 2795.23210825 ;
Zj0[891] = 2798.37370085 ;
Zj0[892] = 2801.51529346 ;
Zj0[893] = 2804.65688606 ;
Zj0[894] = 2807.79847866 ;
Zj0[895] = 2810.94007127 ;
Zj0[896] = 2814.08166387 ;
Zj0[897] = 2817.22325648 ;
Zj0[898] = 2820.36484908 ;
Zj0[899] = 2823.50644169 ;
Zj0[900] = 2826.64803429 ;
Zj0[901] = 2829.78962689 ;
Zj0[902] = 2832.93121950 ;
Zj0[903] = 2836.07281210 ;
Zj0[904] = 2839.21440471 ;
Zj0[905] = 2842.35599731 ;
Zj0[906] = 2845.49758992 ;
Zj0[907] = 2848.63918252 ;
Zj0[908] = 2851.78077513 ;
Zj0[909] = 2854.92236773 ;
Zj0[910] = 2858.06396034 ;
Zj0[911] = 2861.20555294 ;
Zj0[912] = 2864.34714555 ;
Zj0[913] = 2867.48873816 ;
Zj0[914] = 2870.63033076 ;
Zj0[915] = 2873.77192337 ;
Zj0[916] = 2876.91351597 ;
Zj0[917] = 2880.05510858 ;
Zj0[918] = 2883.19670119 ;
Zj0[919] = 2886.33829379 ;
Zj0[920] = 2889.47988640 ;
Zj0[921] = 2892.62147901 ;
Zj0[922] = 2895.76307161 ;
Zj0[923] = 2898.90466422 ;
Zj0[924] = 2902.04625683 ;
Zj0[925] = 2905.18784943 ;
Zj0[926] = 2908.32944204 ;
Zj0[927] = 2911.47103465 ;
Zj0[928] = 2914.61262726 ;
Zj0[929] = 2917.75421986 ;
Zj0[930] = 2920.89581247 ;
Zj0[931] = 2924.03740508 ;
Zj0[932] = 2927.17899769 ;
Zj0[933] = 2930.32059029 ;
Zj0[934] = 2933.46218290 ;
Zj0[935] = 2936.60377551 ;
Zj0[936] = 2939.74536812 ;
Zj0[937] = 2942.88696073 ;
Zj0[938] = 2946.02855333 ;
Zj0[939] = 2949.17014594 ;
Zj0[940] = 2952.31173855 ;
Zj0[941] = 2955.45333116 ;
Zj0[942] = 2958.59492377 ;
Zj0[943] = 2961.73651638 ;
Zj0[944] = 2964.87810899 ;
Zj0[945] = 2968.01970159 ;
Zj0[946] = 2971.16129420 ;
Zj0[947] = 2974.30288681 ;
Zj0[948] = 2977.44447942 ;
Zj0[949] = 2980.58607203 ;
Zj0[950] = 2983.72766464 ;
Zj0[951] = 2986.86925725 ;
Zj0[952] = 2990.01084986 ;
Zj0[953] = 2993.15244247 ;
Zj0[954] = 2996.29403508 ;
Zj0[955] = 2999.43562769 ;
Zj0[956] = 3002.57722030 ;
Zj0[957] = 3005.71881291 ;
Zj0[958] = 3008.86040552 ;
Zj0[959] = 3012.00199813 ;
Zj0[960] = 3015.14359074 ;
Zj0[961] = 3018.28518335 ;
Zj0[962] = 3021.42677596 ;
Zj0[963] = 3024.56836857 ;
Zj0[964] = 3027.70996118 ;