SageMath and PARI/GP code for
- [BCO] ``Variations of Lehmer's conjecture for Ramanujan's tau-function'' (Jennifer S. Balakrishnan, William Craig, and Ken Ono)
- [BCOT] ``Variants of Lehmer's speculation for newforms'' (Jennifer S. Balakrishnan, William Craig, Ken Ono, and Wei-Lun Tsai)
The folder tau has three files:
- The file chabauty.sage has the code used in Lemma 2.3 of [BCO]. The two curves the code was run on are at the end of the file.
- The files C6.sage and H6.sage have the code used in Lemma 2.4 of [BCO].
The folder newforms has several files:
- The file F2.gp has the list of pairs (2m, F_{2m}) for m = 1,...,98, used in Section 4 of [BCOT].
- The file thue_unconditional.gp has the code used in Lemma 4.1 of [BCOT].
- The file thue_conditional.gp has the code used in Lemma 4.1 of [BCOT].
- The file chabauty.sage has the code used in Lemma 4.5 of [BCOT].
- The file H-plus-minus.sage has the code used to populate Table 8 of [BCOT].