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Thanks for the reference, I didn't know it. It seems indeed that we use the procedure defined by Eq. 31. We should indeed improve that; it could be the solution for #85
Generalised Truncated Power Series Algebra for Fast Particle Accelerator Transport Maps
L. Deniau, C. I. Tomoiagă, Proceedings of IPAC2015, Richmond, VA, USA MOPJE039 (2015)
Berz gives (I think) a more efficient way of generating the tables:
https://bt.pa.msu.edu/cgi-bin/display.pl?name=pada
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