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Ok this question has been answered by rburing on his comment to my question, thank you very much :)

I replaced k+1 with k+l and not much happened, same with the PI, however once I switched from functions to lambdas everything magically fixed and went into the correct accuracy range that I was hoping for. I also played around with the PI and that simply seems to speed up the process and doesn't affect accuracy at all (odd).

Thank you very much for your answer, seems that the problem lay with me being unable to read the source material and use python code correctly lol

Ok this question has been answered by rburing on his comment to my question, thank you very much :)

I replaced k+1 with k+l and not much happened, same with the PI, however once I switched from functions to lambdas everything magically fixed and went into the correct accuracy range that I was hoping for. I also played around with the PI and that simply seems to speed up the process and doesn't affect accuracy at all (odd).

Thank you very much for your answer, seems that the problem lay with me being unable to read the source material and use python code correctly lol