William A. Stein

Mathematical data / Level 1 characteristic polynomials / T2

Usable static data

Characteristic polynomials of T2 at level 1

Characteristic polynomials of T2 acting on Sk(SL2(Z)), computed through weight 3000.

The CGI query interface has been retired. The surviving bulk dataset is available directly.
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PARI-readable bulk data

All level 1 T2 characteristic polynomials for weights below 800, bzip2 compressed (about 11 MB).

 Verification note

Irreducibility computations

Alex Ghitza's Sage verification through weight 4096.

Computation record

Kevin Buzzard computed T2 through weight 2048. William Stein computed the remaining weights through 3000. Seth Kleinerman checked irreducibility through weight 3000, with the known exception at weight 2796.