Classical Modular Forms
People: Salman Butt
Here is a status update on our goals from the Seattle workshop:
\Gamma_0(p), weight 2, for p\leq 10000 -- completed
\Gamma_0(N), weight 2, for N\leq 3000 -- completed
also computed a_p for p\leq 10000 and N\neq 1,2,\dots,10,2000,2691,2692,\dots 2700
\Gamma_1(N), weight 2, for N\leq 256 -- incomplete
\Gamma_0(N), weight 4, for N\leq 500 -- computed along with
weight 6 for N\leq 203 \neq 202
weight 8 for *some* N\leq 144
- ran into memory problems on TACC systems
\Gamma_1(N), weight 4, for N\leq 100 -- incomplete
Found bug in cuspform_lseries() in sage/modular/modform/element.py
- computation of sign of functional equation just uses first entry of atkin-lehner involution
Started generating lcalc files for S_2(\Gamma_0(N)) with a_p for p\leq 10000
N = 11,\dots,99 done on sage.math
remaining N will need to run on different machine -- can use TACC, but need allocation
- mod.math gives error about handling object data -- this is a pickle issue that will be resolved