On Jun 20, 10:42 pm, mak <[EMAIL PROTECTED]> wrote:
> a) How can I create, and do linear algebra in, a module spanned by
> modular symbols. For instance, I'd like to be able to take an
> arbitrary manin symbol and write it as a combination of eigensymbols
> from self.decomposition().basis()
OK, I discovered the projection function:
M=ModularSymbols(43,sign=1)
S=M.cuspidal_submodule().decomposition()[0]
(the modualr symbols dual to rational cuspform of level 43)
pi=S.projection()
S1.basis()[0]
(1,38) - 1/2*(1,40)
pi(M((1,5)))
(1,38) - 1/2*(1,40)
-----------------------------------
So far so good; but instead of getting the projection as an actual
Manin symbol, I'd just like to know which multiple of the basis it is
(in this case, 1). How do I get Sage to return that?
Thanks,
Mak
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