Question about Parametric and Graphic EQ filters

[EaryChow]

I am trying to convert a 127 band Graphic EQ generated by WebUI into a 127 band parametric EQ file, for using it in a python script that can only take in parametric EQ txt.

I followed the Q value formula documented in the Wiki:
Bandwith = 10 / number of bands
Calculate Q from bandwidth using Sengpiel Audio Q factor vs bandwidth calculator.

Since the Graphic EQ has 127 bands, the parametric EQ should have a Q value of 18.32. Then I used a python script to handle the transcription of the frequencies and the gain values into parametric PK filters as-is.

But the result is a a bit different that I expected:

This above screenshot was taken from APO but the python script that I eventually intend to use the PEQ on also produce the same jagged curve. What exactly did I mess up? Is the gain value also different between GEQ and PEQ and needs to follow some sort of conversion formula? Or is conversion from GEQ to PEQ is just fundamentally impossible?