On 2013-01-24, Jeroen Demeyer <[email protected]> wrote:
> While testing for speed regressions due to #12313, I actually
> encountered a serious slowdown from sage-5.5 to sage-5.6:
>
> def test():
>     for count in range(12):
>         for n in [2..20]:
>             for g in Gamma0(n).gamma_h_subgroups():
>                 G = g.image_mod_n()
>                 assert G.order() == Gamma(n).index() / g.index()
>
> time test()
>

If I read what Volker noticed right, in this code the bulk of time is
spent computing the order of a group of 2x2 matrices by converting it
into a permutation group, via GAP. And the order of the group is never
more than 342 here. A naive algorithm, enumerating the
elements of the matrix group directly, would speed this up hugely, IMHO.

Dima

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