The module modular.modsym.manin_symbols defines the following methods:
i, j, a, b, c, d) |
Returns a list of the coefficients of
where
One should think of
as being
for the application to
modular symbols.
INPUT: i, j, a, b, c, d -- all ints OUTPUT: list of ints, which are the coefficients of Y^j, Y^(j-1)*X, ..., X^j, respectively.
We compute that
.
sage: apply_to_monomial(2, 3, 1,1,1,-1) [-1, -1, 1, 1] sage: apply_to_monomial(5, 8, 1,2,3,4) [2048, 9728, 20096, 23584, 17200, 7984, 2304, 378, 27] sage: apply_to_monomial(6,12, 1,1,1,-1) [1, 0, -6, 0, 15, 0, -20, 0, 15, 0, -6, 0, 1]
The module modular.modsym.manin_symbols defines the following classes: