CoCalc -- Collaborative Calculation in the Cloud
Sharedsupport / 2016-07-06-062637-modsym.sagewsOpen in CoCalc

Examples for support purposes...

for N in [11..100]:
print N, dimension_cusp_forms(N), ModularSymbols(Gamma0(N),base_ring=GF(2),sign=1).cuspidal_subspace().dimension()

11 1 1 12 0 0 13 0 1 14 1 1 15 1 1 16 0 0 17 1 2 18 0 0 19 1 1 20 1 1 21 1 1 22 2 2 23 2 2 24 1 1 25 0 1 26 2 3 27 1 1 28 2 2 29 2 3 30 3 3 31 2 2 32 1 1 33 3 3 34 3 4 35 3 3 36 1 1 37 2 3 38 4 4 39 3 3 40 3 3 41 3 4 42 5 5 43 3 3 44 4 4 45 3 3 46 5 5 47 4 4 48 3 3 49 1 1 50 2 3 51 5 5 52 5 5 53 4 5 54 4 4 55 5 5 56 5 5 57 5 5 58 6 7 59 5 5 60 7 7 61 4 5 62 7 7 63 5 5 64 3 3 65 5 7 66 9 9 67 5 5 68 7 7 69 7 7 70 9 9 71 6 6 72 5 5 73 5 6 74 8 9 75 5 5 76 8 8 77 7 7 78 11 11 79 6 6 80 7 7 81 4 4 82 9 10 83 7 7 84 11 11 85 7 9 86 10 10 87 9 9 88 9 9 89 7 8 90 11 11 91 7 7 92 10 10 93 9 9 94 11 11 95 9 9 96 9 9 97 7 8 98 7 7 99 9 9 100 7 7