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    $\begingroup$ It would be helpful if you could provide cut-and=pastgable Mathematica input for one such example of an A(t)/B(t). That said, this appears to be a nontrivial problem and there is no guarantee of a reward for the extra typing I am asking you to do. $\endgroup$ Commented Aug 19, 2012 at 15:09
  • $\begingroup$ No problem. I've added the first of the $j$ from the linked list at the bottom. $\endgroup$ Commented Aug 19, 2012 at 15:16
  • $\begingroup$ I've also added some data for the first part of the question. $\endgroup$ Commented Aug 19, 2012 at 15:35
  • $\begingroup$ Have you seen the docs for KleinInvariantJ[]? You might also be interested in what Trott does here (except he's using the RRCF instead of the Klein $j$-invariant). $\endgroup$ Commented Aug 19, 2012 at 16:05
  • $\begingroup$ would translating the expression into s-expressions make this task easier? $\endgroup$ Commented May 7, 2020 at 12:57