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8.1 Creation of Modular
8. Modular Symbols
Subsections
8.1 Creation of Modular Symbols Spaces
8.1.1 Examples
8.2 Creation
8.2.1
modular.modsym.modsym
- Create modular symbols spaces
8.3 Generic Spaces
8.3.1
modular.modsym.space
- Generic spaces of modular symbols.
8.3.1.1 ModularSymbolsSpace Objects
8.4 Ambient Spaces
8.4.1
modular.modsym.ambient
- Ambient spaces of modular symbols.
8.4.1.1 ModularSymbolsAmbient Objects
8.4.1.2 ModularSymbolsAmbient_wt2_g0_Q Objects
8.4.1.3 ModularSymbolsAmbient_wtk_eps Objects
8.4.1.4 ModularSymbolsAmbient_wtk_g0_Q Objects
8.4.1.5 ModularSymbolsAmbient_wtk_g1_Q Objects
8.5 Subspaces of Ambient Spaces
8.5.1
modular.modsym.subspace
- Subspace of ambient spaces of modular symbols
8.5.1.1 ModularSymbolsSubspace Objects
8.6 Elements of Modular Symbols Spaces
8.6.1
modular.modsym.element
- A single element of an ambient space of modular symbols.
8.6.1.1 ModularSymbolElement Objects
8.6.2
modular.modsym.manin_symbols
- Manin symbols
8.6.2.1 ManinSymbol Objects
8.6.2.2 ManinSymbolList Objects
8.6.2.3 ManinSymbolList_character Objects
8.6.2.4 ManinSymbolList_gamma0 Objects
8.6.2.5 ManinSymbolList_gamma1 Objects
8.7 Boundary Modular Symbols
8.7.1
modular.modsym.boundary
- Space of boundary modular symbols.
8.7.1.1 BoundarySymbol Objects
8.7.1.2 BoundarySymbols Objects
8.7.1.3 BoundarySymbols_wtk_eps Objects
8.7.1.4 BoundarySymbols_wtk_g0_Q Objects
8.7.1.5 BoundarySymbols_wtk_g1_Q Objects
8.8 Cremona-Heilbronn-Merel Matrices
8.8.1
modular.modsym.heilbronn
-
8.8.1.1 Heilbronn Objects
8.8.1.2 HeilbronnCremona Objects
8.8.1.3 HeilbronnMerel Objects
8.9 The Projective Line
8.9.1
modular.modsym.p1list
-
8.9.1.1 P1List Objects
8.10 Relation Matrices
8.10.1
modular.modsym.relation_matrix
- Relation matrices for ambient modular symbols spaces.
The SAGE Manual
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7.5.1.6 ModularFormsWithCharacter Objects
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8.1 Creation of Modular
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