1Function: mftocoset 2Section: modular_forms 3C-Name: mftocoset 4Prototype: LGG 5Help: mftocoset(N,M,Lcosets): M being a matrix in SL_2(Z) and Lcosets being 6 mfcosets(N), find the right coset of G_0(N) to which M belongs. The output 7 is a pair [ga,i] such that M = ga * Lcosets[i], with ga in G_0(N). 8Doc: $M$ being a matrix in $SL_2(Z)$ and \kbd{Lcosets} being 9 \kbd{mfcosets(N)}, a list of right cosets of $\Gamma_0(N)$, 10 find the coset to which $M$ belongs. The output is a pair 11 $[\gamma,i]$ such that $M = \gamma \kbd{Lcosets}[i]$, $\gamma\in\Gamma_0(N)$. 12 \bprog 13 ? N = 4; L = mfcosets(N); 14 ? mftocoset(N, [1,1;2,3], L) 15 %2 = [[-1, 1; -4, 3], 5] 16 @eprog 17