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Modular Symbols

Version 10.8 Reference Manual

Home - Modular Symbols

Creation of modular symbols spaces
Base class of the space of modular symbols
Ambient spaces of modular symbols
Subspace of ambient spaces of modular symbols
A single element of an ambient space of modular symbols
Modular symbols \(\{\alpha\), \(\beta\}\)
Manin symbols
Manin symbol lists
Space of boundary modular symbols
Heilbronn matrix computation
Lists of Manin symbols over \(\QQ\), elements of \(\mathbb{P}^1(\ZZ/N\ZZ)\)
List of coset representatives for \(\Gamma_1(N)\) in \(\SL_2(\ZZ)\)
List of coset representatives for \(\Gamma_H(N)\) in \(\SL_2(\ZZ)\)
Relation matrices for ambient modular symbols spaces
Lists of Manin symbols over number fields, elements of \(\mathbb{P}^1(R/N)\)
Monomial expansion of \((aX + bY)^i (cX + dY)^{j-i}\)
Sparse action of Hecke operators
Optimized computing of relation matrices in certain cases

Pollack-Stevens’ modular symbols spaces
Spaces of distributions for Pollack-Stevens modular symbols
Manin relations for overconvergent modular symbols
\(p\)-adic \(L\)-series attached to overconvergent eigensymbols
Manin map
Element class for Pollack-Stevens’ modular symbols
Quotients of the Bruhat-Tits tree
Spaces of \(p\)-adic automorphic forms

Index – Z

zero() (sage.modular.btquotients.pautomorphicform.pAdicAutomorphicForms method)

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