Index

A

abelian_variety() (sage.modular.modsym.space.ModularSymbolsSpace method) abvarquo_cuspidal_subgroup() (sage.modular.modsym.space.ModularSymbolsSpace method) abvarquo_rational_cuspidal_subgroup() (sage.modular.modsym.space.ModularSymbolsSpace method) acting_matrix() (sage.modular.pollack_stevens.distributions.OverconvergentDistributions_abstract method) alpha() (sage.modular.modsym.modular_symbols.ModularSymbol method) Apply (class in sage.modular.modsym.apply) apply() (sage.modular.modsym.heilbronn.Heilbronn method) (sage.modular.modsym.manin_symbol.ManinSymbol method) (sage.modular.modsym.manin_symbol_list.ManinSymbolList method) (sage.modular.modsym.manin_symbol_list.ManinSymbolList_character method) (sage.modular.modsym.manin_symbol_list.ManinSymbolList_group method) (sage.modular.modsym.modular_symbols.ModularSymbol method) (sage.modular.pollack_stevens.manin_map.ManinMap method) apply_I() (sage.modular.modsym.manin_symbol_list.ManinSymbolList method) (sage.modular.modsym.manin_symbol_list.ManinSymbolList_character method) (sage.modular.modsym.manin_symbol_list.ManinSymbolList_group method) (sage.modular.modsym.p1list.P1List method)

apply_J_epsilon() (sage.modular.modsym.p1list_nf.P1NFList method) apply_S() (sage.modular.modsym.manin_symbol_list.ManinSymbolList method) (sage.modular.modsym.manin_symbol_list.ManinSymbolList_character method) (sage.modular.modsym.manin_symbol_list.ManinSymbolList_group method) (sage.modular.modsym.p1list.P1List method) (sage.modular.modsym.p1list_nf.P1NFList method) apply_sparse() (sage.modular.modsym.hecke_operator.HeckeOperator method) apply_T() (sage.modular.modsym.manin_symbol_list.ManinSymbolList method) (sage.modular.modsym.manin_symbol_list.ManinSymbolList_character method) (sage.modular.modsym.manin_symbol_list.ManinSymbolList_group method) (sage.modular.modsym.p1list.P1List method) apply_T_alpha() (sage.modular.modsym.p1list_nf.P1NFList method) apply_to_monomial() (in module sage.modular.modsym.apply) apply_TS() (sage.modular.modsym.p1list_nf.P1NFList method) apply_TT() (sage.modular.modsym.manin_symbol_list.ManinSymbolList method) (sage.modular.modsym.manin_symbol_list.ManinSymbolList_character method) (sage.modular.modsym.manin_symbol_list.ManinSymbolList_group method) approx_module() (sage.modular.pollack_stevens.distributions.OverconvergentDistributions_abstract method)

B

B_one() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) base_extend() (sage.modular.btquotients.pautomorphicform.BruhatTitsHarmonicCocycles method) (sage.modular.pollack_stevens.distributions.Symk_class method) basic_hecke_matrix() (in module sage.modular.pollack_stevens.fund_domain) basis() (sage.modular.pollack_stevens.distributions.OverconvergentDistributions_abstract method) basis_matrix() (sage.modular.btquotients.pautomorphicform.BruhatTitsHarmonicCocycles method) beta() (sage.modular.modsym.modular_symbols.ModularSymbol method) boundary_map() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) (sage.modular.modsym.subspace.ModularSymbolsSubspace method) boundary_space() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) (sage.modular.modsym.ambient.ModularSymbolsAmbient_wt2_g0 method) (sage.modular.modsym.ambient.ModularSymbolsAmbient_wtk_eps method) (sage.modular.modsym.ambient.ModularSymbolsAmbient_wtk_g0 method) (sage.modular.modsym.ambient.ModularSymbolsAmbient_wtk_g1 method) (sage.modular.modsym.ambient.ModularSymbolsAmbient_wtk_gamma_h method)

BoundarySpace (class in sage.modular.modsym.boundary) BoundarySpace_wtk_eps (class in sage.modular.modsym.boundary) BoundarySpace_wtk_g0 (class in sage.modular.modsym.boundary) BoundarySpace_wtk_g1 (class in sage.modular.modsym.boundary) BoundarySpace_wtk_gamma_h (class in sage.modular.modsym.boundary) BoundarySpaceElement (class in sage.modular.modsym.boundary) BruhatTitsHarmonicCocycleElement (class in sage.modular.btquotients.pautomorphicform) BruhatTitsHarmonicCocycles (class in sage.modular.btquotients.pautomorphicform) BruhatTitsQuotient (class in sage.modular.btquotients.btquotient) BruhatTitsTree (class in sage.modular.btquotients.btquotient)

C

c (sage.modular.modsym.p1list_nf.MSymbol attribute) canonical_parameters() (in module sage.modular.modsym.modsym) change_ring() (sage.modular.btquotients.pautomorphicform.BruhatTitsHarmonicCocycles method) (sage.modular.modsym.ambient.ModularSymbolsAmbient method) (sage.modular.pollack_stevens.distributions.OverconvergentDistributions_class method) (sage.modular.pollack_stevens.distributions.Symk_class method) (sage.modular.pollack_stevens.space.PollackStevensModularSymbolspace method) character() (sage.modular.btquotients.pautomorphicform.BruhatTitsHarmonicCocycles method) (sage.modular.modsym.boundary.BoundarySpace method) (sage.modular.modsym.manin_symbol_list.ManinSymbolList_character method) (sage.modular.modsym.space.ModularSymbolsSpace method) clear_cache() (sage.modular.pollack_stevens.distributions.OverconvergentDistributions_abstract method) codomain() (sage.modular.modsym.space.PeriodMapping method) coefficient_module() (sage.modular.pollack_stevens.space.PollackStevensModularSymbolspace method) coleman() (sage.modular.btquotients.pautomorphicform.pAdicAutomorphicFormElement method) compact_newform_eigenvalues() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) compact_system_of_eigenvalues() (sage.modular.modsym.space.ModularSymbolsSpace method)

completions() (sage.modular.pollack_stevens.modsym.PSModularSymbolElement_symk method) compute_full_data() (sage.modular.pollack_stevens.manin_map.ManinMap method) compute_presentation() (in module sage.modular.modsym.relation_matrix) (sage.modular.modsym.ambient.ModularSymbolsAmbient method) congruence_number() (sage.modular.modsym.space.ModularSymbolsSpace method) coordinate_vector() (sage.modular.modsym.boundary.BoundarySpaceElement method) create_key() (sage.modular.pollack_stevens.distributions.OverconvergentDistributions_factory method) (sage.modular.pollack_stevens.distributions.Symk_factory method) (sage.modular.pollack_stevens.space.PollackStevensModularSymbols_factory method) create_object() (sage.modular.pollack_stevens.distributions.OverconvergentDistributions_factory method) (sage.modular.pollack_stevens.distributions.Symk_factory method) (sage.modular.pollack_stevens.space.PollackStevensModularSymbols_factory method) cuspidal_submodule() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) (sage.modular.modsym.space.ModularSymbolsSpace method) (sage.modular.modsym.subspace.ModularSymbolsSubspace method) cuspidal_subspace() (sage.modular.modsym.space.ModularSymbolsSpace method) cusps() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) cusps_from_mat() (in module sage.modular.pollack_stevens.space)

D

d (sage.modular.modsym.p1list_nf.MSymbol attribute) default_prec() (sage.modular.modsym.space.ModularSymbolsSpace method) derivative() (sage.modular.btquotients.pautomorphicform.BruhatTitsHarmonicCocycleElement method) (sage.modular.btquotients.pautomorphicform.pAdicAutomorphicFormElement method) diagonal_valuation() (sage.modular.pollack_stevens.modsym.PSModularSymbolElement method) dict() (sage.modular.pollack_stevens.modsym.PSModularSymbolElement method)

dimension_harmonic_cocycles() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) dimension_of_associated_cuspform_space() (sage.modular.modsym.space.ModularSymbolsSpace method) domain() (sage.modular.modsym.space.PeriodMapping method) DoubleCosetReduction (class in sage.modular.btquotients.btquotient) dual_star_involution_matrix() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) (sage.modular.modsym.space.ModularSymbolsSpace method) (sage.modular.modsym.subspace.ModularSymbolsSubspace method)

E

e3() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) e4() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) Edge (class in sage.modular.btquotients.btquotient) edge() (sage.modular.btquotients.btquotient.BruhatTitsTree method) edge_between_vertices() (sage.modular.btquotients.btquotient.BruhatTitsTree method) edges_leaving_origin() (sage.modular.btquotients.btquotient.BruhatTitsTree method) eisenstein_submodule() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) eisenstein_subspace() (sage.modular.modsym.space.ModularSymbolsSpace method) (sage.modular.modsym.subspace.ModularSymbolsSubspace method) Element (sage.modular.btquotients.pautomorphicform.BruhatTitsHarmonicCocycles attribute) (sage.modular.btquotients.pautomorphicform.pAdicAutomorphicForms attribute) (sage.modular.modsym.manin_symbol_list.ManinSymbolList attribute) (sage.modular.modsym.space.ModularSymbolsSpace attribute)

element() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) embed() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) embed_quaternion() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) (sage.modular.btquotients.pautomorphicform.BruhatTitsHarmonicCocycles method) endpoints() (sage.modular.modsym.manin_symbol.ManinSymbol method) entering_edges() (sage.modular.btquotients.btquotient.BruhatTitsTree method) equivalent_index() (sage.modular.pollack_stevens.fund_domain.PollackStevensModularDomain method) equivalent_rep() (sage.modular.pollack_stevens.fund_domain.PollackStevensModularDomain method) eval_dist_at_powseries() (in module sage.modular.btquotients.pautomorphicform) evaluate() (sage.modular.btquotients.pautomorphicform.BruhatTitsHarmonicCocycleElement method) (sage.modular.btquotients.pautomorphicform.pAdicAutomorphicFormElement method) evaluate_twisted() (sage.modular.pollack_stevens.modsym.PSModularSymbolElement method) export (class in sage.modular.modsym.p1list) extend_codomain() (sage.modular.pollack_stevens.manin_map.ManinMap method)

F

factor() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) factorization() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) (sage.modular.modsym.subspace.ModularSymbolsSubspace method) fd_boundary() (sage.modular.pollack_stevens.fund_domain.ManinRelations method) find_containing_affinoid() (sage.modular.btquotients.btquotient.BruhatTitsTree method) find_covering() (sage.modular.btquotients.btquotient.BruhatTitsTree method)

find_geodesic() (sage.modular.btquotients.btquotient.BruhatTitsTree method) find_path() (sage.modular.btquotients.btquotient.BruhatTitsTree method) form_list_of_cusps() (sage.modular.pollack_stevens.fund_domain.ManinRelations method) free_module() (sage.modular.btquotients.pautomorphicform.BruhatTitsHarmonicCocycles method) (sage.modular.modsym.boundary.BoundarySpace method) fundom_rep() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method)

G

G1list (class in sage.modular.modsym.g1list) gen() (sage.modular.modsym.boundary.BoundarySpace method) (sage.modular.pollack_stevens.fund_domain.PollackStevensModularDomain method) gens() (sage.modular.pollack_stevens.fund_domain.PollackStevensModularDomain method) gens_to_basis_matrix() (in module sage.modular.modsym.relation_matrix) genus() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) genus_no_formula() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) get_balls() (sage.modular.btquotients.btquotient.BruhatTitsTree method) get_edge_list() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) get_edge_stabilizers() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) get_eichler_order() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) get_eichler_order_basis() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) get_eichler_order_quadform() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) get_eichler_order_quadmatrix() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) get_embedding() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) get_embedding_matrix() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) get_extra_embedding_matrices() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) get_fundom_graph() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method)

get_generators() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) get_graph() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) get_list() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) get_maximal_order() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) get_nontorsion_generators() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) get_num_ordered_edges() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) get_num_verts() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) get_quaternion_algebra() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) get_splitting_field() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) get_stabilizers() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) get_units_of_order() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) get_vertex_dict() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) get_vertex_list() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) get_vertex_stabs() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) GHlist (class in sage.modular.modsym.ghlist) group() (sage.modular.modsym.boundary.BoundarySpace method) (sage.modular.modsym.manin_symbol_list.ManinSymbolList_gamma_h method) (sage.modular.modsym.space.ModularSymbolsSpace method) (sage.modular.pollack_stevens.space.PollackStevensModularSymbolspace method)

H

harmonic_cocycle_from_elliptic_curve() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) harmonic_cocycles() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) hecke() (sage.modular.pollack_stevens.manin_map.ManinMap method) (sage.modular.pollack_stevens.modsym.PSModularSymbolElement method) hecke_images_gamma0_weight2() (in module sage.modular.modsym.heilbronn) hecke_images_gamma0_weight_k() (in module sage.modular.modsym.heilbronn)

hecke_images_nonquad_character_weight2() (in module sage.modular.modsym.heilbronn) hecke_images_quad_character_weight2() (in module sage.modular.modsym.heilbronn) hecke_module_of_level() (sage.modular.modsym.space.ModularSymbolsSpace method) HeckeOperator (class in sage.modular.modsym.hecke_operator) Heilbronn (class in sage.modular.modsym.heilbronn) HeilbronnCremona (class in sage.modular.modsym.heilbronn) HeilbronnMerel (class in sage.modular.modsym.heilbronn)

I

i (sage.modular.modsym.manin_symbol.ManinSymbol attribute) i() (sage.modular.modsym.modular_symbols.ModularSymbol method) igamma() (sage.modular.btquotients.btquotient.DoubleCosetReduction method) index() (sage.modular.modsym.manin_symbol_list.ManinSymbolList method) (sage.modular.modsym.manin_symbol_list.ManinSymbolList_character method) (sage.modular.modsym.p1list.P1List method) (sage.modular.modsym.p1list_nf.P1NFList method) index_of_normalized_pair() (sage.modular.modsym.p1list.P1List method) (sage.modular.modsym.p1list_nf.P1NFList method) indices() (sage.modular.pollack_stevens.fund_domain.PollackStevensModularDomain method) indices_with_three_torsion() (sage.modular.pollack_stevens.fund_domain.ManinRelations method) indices_with_two_torsion() (sage.modular.pollack_stevens.fund_domain.ManinRelations method) integral_basis() (sage.modular.modsym.space.ModularSymbolsSpace method) integral_hecke_matrix() (sage.modular.modsym.space.ModularSymbolsSpace method) integral_period_mapping() (sage.modular.modsym.space.ModularSymbolsSpace method) integral_structure() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) (sage.modular.modsym.space.ModularSymbolsSpace method) IntegralPeriodMapping (class in sage.modular.modsym.space) integrate() (sage.modular.btquotients.pautomorphicform.pAdicAutomorphicFormElement method)

interpolation_factor() (sage.modular.pollack_stevens.padic_lseries.pAdicLseries method) intersection_number() (sage.modular.modsym.space.ModularSymbolsSpace method) is_admissible() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) is_ambient() (sage.modular.modsym.boundary.BoundarySpace method) (sage.modular.modsym.space.ModularSymbolsSpace method) is_cuspidal() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) (sage.modular.modsym.space.ModularSymbolsSpace method) (sage.modular.modsym.subspace.ModularSymbolsSubspace method) is_eisenstein() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) (sage.modular.modsym.subspace.ModularSymbolsSubspace method) is_ManinSymbol() (in module sage.modular.modsym.manin_symbol) is_ModularSymbolsElement() (in module sage.modular.modsym.element) is_ModularSymbolsSpace() (in module sage.modular.modsym.space) is_ordinary() (sage.modular.pollack_stevens.modsym.PSModularSymbolElement method) is_simple() (sage.modular.btquotients.pautomorphicform.BruhatTitsHarmonicCocycles method) (sage.modular.modsym.space.ModularSymbolsSpace method) is_symk() (sage.modular.pollack_stevens.distributions.OverconvergentDistributions_class method) (sage.modular.pollack_stevens.distributions.Symk_class method) is_Tq_eigensymbol() (sage.modular.pollack_stevens.modsym.PSModularSymbolElement method) is_unimodular_path() (sage.modular.pollack_stevens.fund_domain.ManinRelations method)

L

leaving_edges() (sage.modular.btquotients.btquotient.BruhatTitsTree method) level() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) (sage.modular.modsym.manin_symbol.ManinSymbol method) (sage.modular.modsym.manin_symbol_list.ManinSymbolList_character method) (sage.modular.modsym.manin_symbol_list.ManinSymbolList_group method) (sage.modular.pollack_stevens.fund_domain.PollackStevensModularDomain method) (sage.modular.pollack_stevens.space.PollackStevensModularSymbolspace method) lift() (sage.modular.btquotients.pautomorphicform.pAdicAutomorphicForms method) (sage.modular.pollack_stevens.distributions.OverconvergentDistributions_abstract method) (sage.modular.pollack_stevens.modsym.PSModularSymbolElement_symk method) lift_to_sl2_Ok() (in module sage.modular.modsym.p1list_nf) (sage.modular.modsym.p1list_nf.MSymbol method) (sage.modular.modsym.p1list_nf.P1NFList method)

lift_to_sl2z() (in module sage.modular.modsym.p1list) (sage.modular.modsym.manin_symbol.ManinSymbol method) (sage.modular.modsym.p1list.P1List method) lift_to_sl2z_int() (in module sage.modular.modsym.p1list) lift_to_sl2z_llong() (in module sage.modular.modsym.p1list) list() (sage.modular.modsym.element.ModularSymbolsElement method) (sage.modular.modsym.g1list.G1list method) (sage.modular.modsym.ghlist.GHlist method) (sage.modular.modsym.manin_symbol_list.ManinSymbolList method) (sage.modular.modsym.p1list.P1List method) (sage.modular.modsym.p1list_nf.P1NFList method) log_gamma_binomial() (in module sage.modular.pollack_stevens.padic_lseries)

M

M2Z() (in module sage.modular.pollack_stevens.fund_domain) make_coprime() (in module sage.modular.modsym.p1list_nf) manin_basis() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) manin_generators() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) manin_gens_to_basis() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) manin_symbol() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) (sage.modular.modsym.manin_symbol_list.ManinSymbolList method) manin_symbol_list() (sage.modular.modsym.manin_symbol_list.ManinSymbolList method) manin_symbol_rep() (sage.modular.modsym.element.ModularSymbolsElement method) (sage.modular.modsym.modular_symbols.ModularSymbol method) manin_symbols() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) (sage.modular.modsym.ambient.ModularSymbolsAmbient_wtk_eps method) (sage.modular.modsym.ambient.ModularSymbolsAmbient_wtk_g0 method) (sage.modular.modsym.ambient.ModularSymbolsAmbient_wtk_g1 method) (sage.modular.modsym.ambient.ModularSymbolsAmbient_wtk_gamma_h method) manin_symbols_basis() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) ManinMap (class in sage.modular.pollack_stevens.manin_map) ManinRelations (class in sage.modular.pollack_stevens.fund_domain) ManinSymbol (class in sage.modular.modsym.manin_symbol) ManinSymbolList (class in sage.modular.modsym.manin_symbol_list) ManinSymbolList_character (class in sage.modular.modsym.manin_symbol_list) ManinSymbolList_gamma0 (class in sage.modular.modsym.manin_symbol_list) ManinSymbolList_gamma1 (class in sage.modular.modsym.manin_symbol_list) ManinSymbolList_gamma_h (class in sage.modular.modsym.manin_symbol_list) ManinSymbolList_group (class in sage.modular.modsym.manin_symbol_list) matrix() (sage.modular.modsym.space.PeriodMapping method) minus_part() (sage.modular.pollack_stevens.modsym.PSModularSymbolElement method) minus_submodule() (sage.modular.modsym.space.ModularSymbolsSpace method) modI_relations() (in module sage.modular.modsym.relation_matrix) modS_relations() (in module sage.modular.modsym.relation_matrix) modular_form() (sage.modular.btquotients.pautomorphicform.BruhatTitsHarmonicCocycleElement method) (sage.modular.btquotients.pautomorphicform.pAdicAutomorphicFormElement method) modular_symbol() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) modular_symbol_rep() (sage.modular.modsym.element.ModularSymbolsElement method) (sage.modular.modsym.manin_symbol.ManinSymbol method) modular_symbol_sum() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) modular_symbols_of_level() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) (sage.modular.modsym.ambient.ModularSymbolsAmbient_wtk_eps method) modular_symbols_of_sign() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) (sage.modular.modsym.ambient.ModularSymbolsAmbient_wtk_eps method) (sage.modular.modsym.space.ModularSymbolsSpace method) modular_symbols_of_weight() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) (sage.modular.modsym.ambient.ModularSymbolsAmbient_wtk_eps method) modular_symbols_space() (sage.modular.modsym.space.PeriodMapping method)

ModularSymbol (class in sage.modular.modsym.modular_symbols) ModularSymbols() (in module sage.modular.modsym.modsym) ModularSymbols_clear_cache() (in module sage.modular.modsym.modsym) ModularSymbolsAmbient (class in sage.modular.modsym.ambient) ModularSymbolsAmbient_wt2_g0 (class in sage.modular.modsym.ambient) ModularSymbolsAmbient_wtk_eps (class in sage.modular.modsym.ambient) ModularSymbolsAmbient_wtk_g0 (class in sage.modular.modsym.ambient) ModularSymbolsAmbient_wtk_g1 (class in sage.modular.modsym.ambient) ModularSymbolsAmbient_wtk_gamma_h (class in sage.modular.modsym.ambient) ModularSymbolsElement (class in sage.modular.modsym.element) ModularSymbolsSpace (class in sage.modular.modsym.space) ModularSymbolsSubspace (class in sage.modular.modsym.subspace) module sage.modular.btquotients.btquotient sage.modular.btquotients.pautomorphicform sage.modular.modsym.ambient sage.modular.modsym.apply sage.modular.modsym.boundary sage.modular.modsym.element sage.modular.modsym.g1list sage.modular.modsym.ghlist sage.modular.modsym.hecke_operator sage.modular.modsym.heilbronn sage.modular.modsym.manin_symbol sage.modular.modsym.manin_symbol_list sage.modular.modsym.modsym sage.modular.modsym.modular_symbols sage.modular.modsym.p1list sage.modular.modsym.p1list_nf sage.modular.modsym.relation_matrix sage.modular.modsym.relation_matrix_pyx sage.modular.modsym.space sage.modular.modsym.subspace sage.modular.pollack_stevens.distributions sage.modular.pollack_stevens.fund_domain sage.modular.pollack_stevens.manin_map sage.modular.pollack_stevens.modsym sage.modular.pollack_stevens.padic_lseries sage.modular.pollack_stevens.space monomial_coefficients() (sage.modular.btquotients.pautomorphicform.BruhatTitsHarmonicCocycleElement method) (sage.modular.btquotients.pautomorphicform.BruhatTitsHarmonicCocycles method) MSymbol (class in sage.modular.modsym.p1list_nf) mu() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) multiplicity() (sage.modular.modsym.space.ModularSymbolsSpace method)

N

n (sage.modular.modsym.heilbronn.HeilbronnMerel attribute) N() (sage.modular.modsym.p1list.P1List method) (sage.modular.modsym.p1list_nf.MSymbol method) (sage.modular.modsym.p1list_nf.P1NFList method) ncoset_reps() (sage.modular.pollack_stevens.space.PollackStevensModularSymbolspace method) new_submodule() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) new_subspace() (sage.modular.modsym.space.ModularSymbolsSpace method) ngens() (sage.modular.modsym.space.ModularSymbolsSpace method) (sage.modular.pollack_stevens.fund_domain.PollackStevensModularDomain method) (sage.modular.pollack_stevens.space.PollackStevensModularSymbolspace method) Nminus() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method)

normalize() (sage.modular.modsym.g1list.G1list method) (sage.modular.modsym.ghlist.GHlist method) (sage.modular.modsym.manin_symbol_list.ManinSymbolList method) (sage.modular.modsym.manin_symbol_list.ManinSymbolList_character method) (sage.modular.modsym.manin_symbol_list.ManinSymbolList_group method) (sage.modular.modsym.p1list.P1List method) (sage.modular.modsym.p1list_nf.MSymbol method) (sage.modular.modsym.p1list_nf.P1NFList method) (sage.modular.pollack_stevens.manin_map.ManinMap method) normalize_with_scalar() (sage.modular.modsym.p1list.P1List method) Nplus() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method)

O

old_subspace() (sage.modular.modsym.space.ModularSymbolsSpace method) opposite() (sage.modular.btquotients.btquotient.BruhatTitsTree method) origin() (sage.modular.btquotients.btquotient.BruhatTitsTree method)

OverconvergentDistributions_abstract (class in sage.modular.pollack_stevens.distributions) OverconvergentDistributions_class (class in sage.modular.pollack_stevens.distributions) OverconvergentDistributions_factory (class in sage.modular.pollack_stevens.distributions)

P

p (sage.modular.modsym.heilbronn.HeilbronnCremona attribute) P1() (sage.modular.pollack_stevens.fund_domain.PollackStevensModularDomain method) p1_normalize() (in module sage.modular.modsym.p1list) p1_normalize_int() (in module sage.modular.modsym.p1list) p1_normalize_llong() (in module sage.modular.modsym.p1list) P1List (class in sage.modular.modsym.p1list) p1list() (in module sage.modular.modsym.p1list) (sage.modular.modsym.ambient.ModularSymbolsAmbient method) p1list_int() (in module sage.modular.modsym.p1list) p1list_llong() (in module sage.modular.modsym.p1list) P1NFList (class in sage.modular.modsym.p1list_nf) p1NFlist() (in module sage.modular.modsym.p1list_nf) P1NFList_clear_level_cache() (in module sage.modular.modsym.p1list_nf) p_stabilize() (sage.modular.pollack_stevens.manin_map.ManinMap method) (sage.modular.pollack_stevens.modsym.PSModularSymbolElement_symk method) p_stabilize_and_lift() (sage.modular.pollack_stevens.modsym.PSModularSymbolElement_symk method) padic_automorphic_forms() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) padic_lseries() (sage.modular.pollack_stevens.modsym.PSModularSymbolElement_dist method) pAdicAutomorphicFormElement (class in sage.modular.btquotients.pautomorphicform) pAdicAutomorphicForms (class in sage.modular.btquotients.pautomorphicform) pAdicLseries (class in sage.modular.pollack_stevens.padic_lseries) PeriodMapping (class in sage.modular.modsym.space) plot() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) plot_fundom() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method)

plus_part() (sage.modular.pollack_stevens.modsym.PSModularSymbolElement method) plus_submodule() (sage.modular.modsym.space.ModularSymbolsSpace method) PollackStevensModularDomain (class in sage.modular.pollack_stevens.fund_domain) PollackStevensModularSymbols_factory (class in sage.modular.pollack_stevens.space) PollackStevensModularSymbolspace (class in sage.modular.pollack_stevens.space) polynomial_part() (sage.modular.modsym.modular_symbols.ModularSymbol method) precision_cap() (sage.modular.btquotients.pautomorphicform.pAdicAutomorphicForms method) (sage.modular.pollack_stevens.distributions.OverconvergentDistributions_abstract method) (sage.modular.pollack_stevens.space.PollackStevensModularSymbolspace method) precision_relative() (sage.modular.pollack_stevens.modsym.PSModularSymbolElement_dist method) prep_hecke_on_gen() (sage.modular.pollack_stevens.fund_domain.ManinRelations method) prep_hecke_on_gen_list() (sage.modular.pollack_stevens.fund_domain.ManinRelations method) prime() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) (sage.modular.btquotients.pautomorphicform.pAdicAutomorphicForms method) (sage.modular.pollack_stevens.distributions.OverconvergentDistributions_abstract method) (sage.modular.pollack_stevens.padic_lseries.pAdicLseries method) (sage.modular.pollack_stevens.space.PollackStevensModularSymbolspace method) print_values() (sage.modular.btquotients.pautomorphicform.BruhatTitsHarmonicCocycleElement method) ps_modsym_from_elliptic_curve() (in module sage.modular.pollack_stevens.space) ps_modsym_from_simple_modsym_space() (in module sage.modular.pollack_stevens.space) psi() (in module sage.modular.modsym.p1list_nf) PSModSymAction (class in sage.modular.pollack_stevens.modsym) PSModularSymbolElement (class in sage.modular.pollack_stevens.modsym) PSModularSymbolElement_dist (class in sage.modular.pollack_stevens.modsym) PSModularSymbolElement_symk (class in sage.modular.pollack_stevens.modsym)

Q

q_eigenform() (sage.modular.modsym.space.ModularSymbolsSpace method) q_eigenform_character() (sage.modular.modsym.space.ModularSymbolsSpace method) q_expansion_basis() (sage.modular.modsym.space.ModularSymbolsSpace method)

q_expansion_cuspforms() (sage.modular.modsym.space.ModularSymbolsSpace method) q_expansion_module() (sage.modular.modsym.space.ModularSymbolsSpace method) quadratic_twist() (sage.modular.pollack_stevens.padic_lseries.pAdicLseries method)

R

random_element() (sage.modular.pollack_stevens.distributions.OverconvergentDistributions_abstract method) (sage.modular.pollack_stevens.space.PollackStevensModularSymbolspace method) rank() (sage.modular.btquotients.pautomorphicform.BruhatTitsHarmonicCocycles method) (sage.modular.modsym.ambient.ModularSymbolsAmbient method) (sage.modular.modsym.boundary.BoundarySpace method) rational_period_mapping() (sage.modular.modsym.space.ModularSymbolsSpace method) RationalPeriodMapping (class in sage.modular.modsym.space)

reduce_precision() (sage.modular.pollack_stevens.manin_map.ManinMap method) (sage.modular.pollack_stevens.modsym.PSModularSymbolElement_dist method) relation_matrix_wtk_g0() (in module sage.modular.modsym.relation_matrix) relations() (sage.modular.pollack_stevens.fund_domain.PollackStevensModularDomain method) reps() (sage.modular.pollack_stevens.fund_domain.PollackStevensModularDomain method) reps_with_three_torsion() (sage.modular.pollack_stevens.fund_domain.ManinRelations method) reps_with_two_torsion() (sage.modular.pollack_stevens.fund_domain.ManinRelations method) riemann_sum() (sage.modular.btquotients.pautomorphicform.BruhatTitsHarmonicCocycleElement method)

S

sage.modular.btquotients.btquotient module sage.modular.btquotients.pautomorphicform module sage.modular.modsym.ambient module sage.modular.modsym.apply module sage.modular.modsym.boundary module sage.modular.modsym.element module sage.modular.modsym.g1list module sage.modular.modsym.ghlist module sage.modular.modsym.hecke_operator module sage.modular.modsym.heilbronn module sage.modular.modsym.manin_symbol module sage.modular.modsym.manin_symbol_list module sage.modular.modsym.modsym module sage.modular.modsym.modular_symbols module sage.modular.modsym.p1list module sage.modular.modsym.p1list_nf module sage.modular.modsym.relation_matrix module sage.modular.modsym.relation_matrix_pyx module sage.modular.modsym.space module sage.modular.modsym.subspace module sage.modular.pollack_stevens.distributions module

sage.modular.pollack_stevens.fund_domain module sage.modular.pollack_stevens.manin_map module sage.modular.pollack_stevens.modsym module sage.modular.pollack_stevens.padic_lseries module sage.modular.pollack_stevens.space module series() (sage.modular.pollack_stevens.padic_lseries.pAdicLseries method) set_default_prec() (sage.modular.modsym.space.ModularSymbolsSpace method) set_modsym_print_mode() (in module sage.modular.modsym.element) set_precision() (sage.modular.modsym.space.ModularSymbolsSpace method) sign() (sage.modular.btquotients.btquotient.DoubleCosetReduction method) (sage.modular.modsym.boundary.BoundarySpace method) (sage.modular.modsym.space.ModularSymbolsSpace method) (sage.modular.pollack_stevens.space.PollackStevensModularSymbolspace method) sign_submodule() (sage.modular.modsym.space.ModularSymbolsSpace method) simple_factors() (sage.modular.modsym.space.ModularSymbolsSpace method) source() (sage.modular.pollack_stevens.space.PollackStevensModularSymbolspace method) space() (sage.modular.modsym.modular_symbols.ModularSymbol method) sparse_2term_quotient() (in module sage.modular.modsym.relation_matrix) sparse_2term_quotient_only_pm1() (in module sage.modular.modsym.relation_matrix_pyx) specialize() (sage.modular.pollack_stevens.distributions.OverconvergentDistributions_class method) (sage.modular.pollack_stevens.manin_map.ManinMap method) (sage.modular.pollack_stevens.modsym.PSModularSymbolElement_dist method) star_decomposition() (sage.modular.modsym.space.ModularSymbolsSpace method) star_eigenvalues() (sage.modular.modsym.space.ModularSymbolsSpace method) star_involution() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) (sage.modular.modsym.space.ModularSymbolsSpace method) (sage.modular.modsym.subspace.ModularSymbolsSubspace method) sturm_bound() (sage.modular.modsym.space.ModularSymbolsSpace method) subdivide() (sage.modular.btquotients.btquotient.BruhatTitsTree method) submodule() (sage.modular.btquotients.pautomorphicform.BruhatTitsHarmonicCocycles method) (sage.modular.modsym.ambient.ModularSymbolsAmbient method) symbol() (sage.modular.pollack_stevens.padic_lseries.pAdicLseries method) symbol_list() (sage.modular.modsym.manin_symbol_list.ManinSymbolList method) Symk_class (class in sage.modular.pollack_stevens.distributions) Symk_factory (class in sage.modular.pollack_stevens.distributions)

T

t() (sage.modular.btquotients.btquotient.DoubleCosetReduction method) T_relation_matrix_wtk_g0() (in module sage.modular.modsym.relation_matrix) target() (sage.modular.btquotients.btquotient.BruhatTitsTree method) three_torsion_matrix() (sage.modular.pollack_stevens.fund_domain.ManinRelations method) to_list() (sage.modular.modsym.heilbronn.Heilbronn method)

Tq_eigenvalue() (sage.modular.pollack_stevens.modsym.PSModularSymbolElement method) tuple() (sage.modular.modsym.manin_symbol.ManinSymbol method) (sage.modular.modsym.p1list_nf.MSymbol method) twisted_winding_element() (sage.modular.modsym.ambient.ModularSymbolsAmbient method) two_torsion_matrix() (sage.modular.pollack_stevens.fund_domain.ManinRelations method)

U

u (sage.modular.modsym.manin_symbol.ManinSymbol attribute) unimod_matrices_from_infty() (in module sage.modular.pollack_stevens.manin_map)

unimod_matrices_to_infty() (in module sage.modular.pollack_stevens.manin_map) unimod_to_matrices() (sage.modular.pollack_stevens.fund_domain.ManinRelations method)

V

v (sage.modular.modsym.manin_symbol.ManinSymbol attribute) valuation() (sage.modular.btquotients.pautomorphicform.BruhatTitsHarmonicCocycleElement method) (sage.modular.btquotients.pautomorphicform.pAdicAutomorphicFormElement method) (sage.modular.pollack_stevens.modsym.PSModularSymbolElement method)

values() (sage.modular.pollack_stevens.modsym.PSModularSymbolElement method) Vertex (class in sage.modular.btquotients.btquotient) vertex() (sage.modular.btquotients.btquotient.BruhatTitsTree method)

W

weight() (sage.modular.modsym.boundary.BoundarySpace method) (sage.modular.modsym.manin_symbol.ManinSymbol method) (sage.modular.modsym.manin_symbol_list.ManinSymbolList method) (sage.modular.modsym.modular_symbols.ModularSymbol method) (sage.modular.pollack_stevens.distributions.OverconvergentDistributions_abstract method) (sage.modular.pollack_stevens.modsym.PSModularSymbolElement method) (sage.modular.pollack_stevens.space.PollackStevensModularSymbolspace method)

Z

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