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Package sage :: Package modular :: Package modsym :: Module subspace :: Class ModularSymbolsSubspace |
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Gens
--+ |HeckeModule
--+ |ModularSymbolsSpace
--+ | ModularSymbolsSubspace
Method Summary | |
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__init__(self,
ambient_space,
vector_space)
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__repr__(self)
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ambient_space(self)
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Given a vector v in self.vector_space(), return the corresponding vector in the ambient modular symbols space. | |
dimension(self)
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embedded_vector_space(self)
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is_ambient(self)
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Inherited from ModularSymbolsSpace | |
Compare self and other. | |
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Returns a basis for self. | |
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Returns an eigenvalue of T_n acting on self, where self must be new and non-splittable. | |
Return a_n, psi, i, where a_n is the n-th eigenvalue, psi : Z --> V is a map and i:V-->K is an isomorphism of V with a number field (or Q), such that the composition iso(psi(n)) is the eigenvalue of the n-th Hecke operator acting on a fixed element of self (which must be new and non-splittable). | |
The n-th generator of self. | |
Returns the group of this modular symbols space. | |
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The matrix of the n-th Hecke operator acting on the basis for self. | |
Returns the n-th Hecke operator as a Matrix Function. | |
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Returns the level of this modular symbols space. | |
The number of generators of self. | |
Return the projection map from the ambient space to self. | |
Returns the q-expansion to precision prec of a newform associated to self, where self must be new, cuspidal, and non-splittable. | |
Returns the sign of self. | |
Returns the Sturm bound for this space of modular symbols. | |
Returns the n-th Hecke operator T_n. | |
Returns the underlying vector space of self. | |
Returns the weight of this modular symbols space. | |
Inherited from HeckeModule | |
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Returns true if and only if only it is possible to split off a nontrivial generalized eigenspace of self as the kernel of some Hecke operator. | |
Returns true if and only if only it is possible to split off a nontrivial generalized eigenspace of self as the kernel of some Hecke operator of index coprime to the level. | |
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Inherited from Gens | |
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Method Details |
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ambient_vector(self, v)Given a vector v in self.vector_space(), return the corresponding vector in the ambient modular symbols space. |
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