It does look like a bug to me.  I have CC'd sage-nt.

John

On 4 July 2012 03:05, Maarten Derickx <m.derickx.stud...@gmail.com> wrote:
> Dear All,
>
> Today I was trying to compute some stuff using modular symbols. And I found
> the following slightly worrying:
>
> sage: M=ModularSymbols(Gamma1(22),sign=1)
> sage: S=M.cuspidal_submodule();S
> Modular Symbols subspace of dimension 6 of Modular Symbols space of
> dimension 25 for Gamma_1(22) of weight 2 with sign 1 and over Rational Field
> sage: S.new_submodule()
> Modular Symbols subspace of dimension 4 of Modular Symbols space of
> dimension 25 for Gamma_1(22) of weight 2 with sign 1 and over Rational Field
> sage: S.old_submodule()
> Modular Symbols subspace of dimension 3 of Modular Symbols space of
> dimension 25 for Gamma_1(22) of weight 2 with sign 1 and over Rational Field
>
>
> I thought that the new and the old subspace should be disjoint and together
> span the whole space. Or is this because I'm using modular symbols and not
> modular forms? And do the new and old space have a different properties in
> the symbol setting?
>
> Note that the answers are as expected when using with modular forms:
>
> sage: M=ModularForms(Gamma1(22))
> sage: S=M.cuspidal_submodule();S
> Cuspidal subspace of dimension 6 of Modular Forms space of dimension 25 for
> Congruence Subgroup Gamma1(22) of weight 2 over Rational Field
> sage: S.new_submodule()
> Modular Forms subspace of dimension 4 of Modular Forms space of dimension 25
> for Congruence Subgroup Gamma1(22) of weight 2 over Rational Field
> sage: S.old_submodule()
> Modular Forms subspace of dimension 2 of Modular Forms space of dimension 25
> for Congruence Subgroup Gamma1(22) of weight 2 over Rational Field
>
>
>
> Ps. I tested this using sage 5.2.alpha0
>
>
>
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