Hi,
I'm trying to do some computations with mod 3 modular forms and I'm running
into a couple of errors.
(1) An assertion error. For example,
sage: chi = kronecker_character(3*34603)
sage: M = ModularSymbols(chi, 2, sign=1, base_ring=GF(3))
...
File
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/modular/modsym/relation_matrix.py",
line 126, in modS_relations
assert j != -1
AssertionError
This appears to be something about not finding a relation that should exist
between two symbols.
(2) An arithmetic error. For example,
sage: chi = kronecker_character(3*61379)
sage: M = ModularSymbols(chi, 2, sign=1, base_ring=GF(3))
...
File
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/modular/modsym/relation_matrix.py",
line 125, in modS_relations
j, s = syms.apply_S(i)
File
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/modular/modsym/manin_symbol_list.py",
line 1062, in apply_S
k, s = self.index((self._weight-2-i, v, -u))
File
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/modular/modsym/manin_symbol_list.py",
line 1255, in index
x, s = self.normalize(x)
File
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sage/modular/modsym/manin_symbol_list.py",
line 1290, in normalize
u,v,s = self.__P1.normalize_with_scalar(x[1],x[2])
File "sage/modular/modsym/p1list.pyx", line 1160, in
sage.modular.modsym.p1list.P1List.normalize_with_scalar
(/projects/sage/sage-6.10/src/build/cythonized/sage/modular/modsym/p1list.c:8566)
self.__normalize(self.__N, u, v, &uu, &vv, &ss, 1)
File "sage/modular/modsym/p1list.pyx", line 363, in
sage.modular.modsym.p1list.c_p1_normalize_llong
(/projects/sage/sage-6.10/src/build/cythonized/sage/modular/modsym/p1list.c:2997)
ss[0] = <int> (arith_llong.c_inverse_mod_longlong(s*min_t, N) % ll_N)
File "sage/rings/fast_arith.pyx", line 381, in
sage.rings.fast_arith.arith_llong.c_inverse_mod_longlong
(/projects/sage/sage-6.10/src/build/cythonized/sage/rings/fast_arith.c:5546)
raise ArithmeticError("The inverse of %s modulo %s is not
defined."%(a,m))
ArithmeticError: The inverse of -2142142713 modulo 184137 is not defined.
Does anyone know what might be causing this or if there's a workaround?
Thanks.
Best,
Rob
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