Differences between revisions 1 and 2
Revision 1 as of 2009-09-08 20:30:30
Size: 715
Editor: was
Comment:
Revision 2 as of 2009-09-08 20:31:13
Size: 752
Editor: was
Comment:
Deletions are marked like this. Additions are marked like this.
Line 29: Line 29:
Future extension: one could replace Gamma1(N) by GammaH(N,...). Future extension: one could replace Gamma1(N) by GammaH(N,...).  One could also do the new subspace.

Specific Tables

Component Groups of J0(N)(R) and J1(N)(R)

This function computes the J_0(N) real component groups.

def f(N):
    M = ModularSymbols(N).cuspidal_subspace()
    d = M.dimension()//2
    S = matrix(GF(2),2*d,2*d, M.star_involution().matrix().list()) - 1
    return 2^(S.nullity()-d)

For J_1(N) it is:

def f(N):
    M = ModularSymbols(Gamma1(N)).cuspidal_subspace()
    d = M.dimension()//2
    S = matrix(GF(2),2*d,2*d, M.star_involution().matrix().list()) - 1
    return 2^(S.nullity()-d)

Future extension: one could replace Gamma1(N) by GammaH(N,...). One could also do the new subspace.

days17/projects/presagedays/discussion (last edited 2010-07-12 07:39:51 by was)