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Sage 9.6 Documentation
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Reference Manual
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Miscellaneous Modular-Form-Related Modules
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Index
Index
A
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B
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C
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D
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E
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F
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G
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H
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I
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J
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K
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L
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M
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N
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O
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P
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Q
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R
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S
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T
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U
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V
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W
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Z
A
ABmatrix() (sage.modular.cusps_nf.NFCusp method)
additive_order() (sage.modular.overconvergent.genus0.OverconvergentModularFormElement method)
algebra_generators() (sage.modular.multiple_zeta.Multizetas method)
AlgebraicWeight (class in sage.modular.overconvergent.weightspace)
All_iterated (class in sage.modular.multiple_zeta)
All_iterated.Element (class in sage.modular.multiple_zeta)
AllCusps() (in module sage.modular.etaproducts)
alpha() (sage.modular.hypergeometric_motive.HypergeometricData method)
alpha_beta() (sage.modular.hypergeometric_motive.HypergeometricData method)
alpha_to_cyclotomic() (in module sage.modular.hypergeometric_motive)
apply() (sage.modular.cusps.Cusp method)
(sage.modular.cusps_nf.NFCusp method)
ArbitraryWeight (class in sage.modular.overconvergent.weightspace)
B
bar() (sage.modular.dirichlet.DirichletCharacter method)
base_extend() (sage.modular.dirichlet.DirichletGroup_class method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupGeneric method)
(sage.modular.overconvergent.genus0.OverconvergentModularFormElement method)
(sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method)
(sage.modular.overconvergent.weightspace.WeightCharacter method)
(sage.modular.overconvergent.weightspace.WeightSpace_class method)
base_ring() (sage.modular.dirichlet.DirichletCharacter method)
basis() (sage.modular.etaproducts.EtaGroup_class method)
basis_brown() (sage.modular.multiple_zeta.Multizetas method)
basis_data() (sage.modular.multiple_zeta.Multizetas method)
basis_f_iterator() (in module sage.modular.multiple_zeta)
basis_f_odd_iterator() (in module sage.modular.multiple_zeta)
basis_filtration() (sage.modular.multiple_zeta.Multizetas method)
basis_for_left_ideal() (in module sage.modular.quatalg.brandt)
benchmark_magma() (in module sage.modular.quatalg.brandt)
benchmark_sage() (in module sage.modular.quatalg.brandt)
bernoulli() (sage.modular.dirichlet.DirichletCharacter method)
beta() (sage.modular.hypergeometric_motive.HypergeometricData method)
brandt_series() (sage.modular.quatalg.brandt.BrandtModule_class method)
BrandtModule() (in module sage.modular.quatalg.brandt)
BrandtModule_class (class in sage.modular.quatalg.brandt)
BrandtModuleElement (class in sage.modular.quatalg.brandt)
BrandtSubmodule (class in sage.modular.quatalg.brandt)
buzzard_tpslopes() (in module sage.modular.buzzard)
C
canonical_scheme() (sage.modular.hypergeometric_motive.HypergeometricData method)
capital_M() (in module sage.modular.hypergeometric_motive)
central_character() (sage.modular.local_comp.local_comp.LocalComponentBase method)
change_ring() (sage.modular.dirichlet.DirichletCharacter method)
(sage.modular.dirichlet.DirichletGroup_class method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupGeneric method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupQp method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupRamifiedQuadratic method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupUnramifiedQuadratic method)
(sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method)
character() (sage.modular.local_comp.smoothchar.SmoothCharacterGroupGeneric method)
(sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method)
(sage.modular.quatalg.brandt.BrandtModule_class method)
character_conductor() (sage.modular.local_comp.type_space.TypeSpace method)
characteristic_polynomial_from_traces() (in module sage.modular.hypergeometric_motive)
characters() (sage.modular.local_comp.local_comp.ImprimitiveLocalComponent method)
(sage.modular.local_comp.local_comp.PrimitivePrincipalSeries method)
(sage.modular.local_comp.local_comp.PrimitiveSpecial method)
(sage.modular.local_comp.local_comp.PrimitiveSupercuspidal method)
(sage.modular.local_comp.local_comp.PrincipalSeries method)
(sage.modular.local_comp.local_comp.UnramifiedPrincipalSeries method)
check_tempered() (sage.modular.local_comp.local_comp.ImprimitiveLocalComponent method)
(sage.modular.local_comp.local_comp.LocalComponentBase method)
(sage.modular.local_comp.local_comp.PrimitiveSpecial method)
(sage.modular.local_comp.local_comp.PrimitiveSupercuspidal method)
(sage.modular.local_comp.local_comp.PrincipalSeries method)
chi() (sage.modular.overconvergent.weightspace.AlgebraicWeight method)
class_number() (in module sage.modular.quatalg.brandt)
CO_delta() (in module sage.modular.dims)
CO_nu() (in module sage.modular.dims)
coeff_phi() (in module sage.modular.multiple_zeta)
coefficient_field() (sage.modular.local_comp.local_comp.LocalComponentBase method)
CohenOesterle() (in module sage.modular.dims)
complementary_spaces() (in module sage.modular.overconvergent.hecke_series)
complementary_spaces_modp() (in module sage.modular.overconvergent.hecke_series)
compose_with_norm() (sage.modular.local_comp.smoothchar.SmoothCharacterGroupGeneric method)
composition() (sage.modular.multiple_zeta.Multizetas_iterated method)
(sage.modular.multiple_zeta.Multizetas_iterated.Element method)
composition_on_basis() (sage.modular.multiple_zeta.Multizetas_iterated method)
composition_to_iterated() (in module sage.modular.multiple_zeta)
compute_elldash() (in module sage.modular.overconvergent.hecke_series)
compute_G() (in module sage.modular.overconvergent.hecke_series)
compute_u_on_basis() (in module sage.modular.multiple_zeta)
compute_u_on_compo() (in module sage.modular.multiple_zeta)
compute_Wi() (in module sage.modular.overconvergent.hecke_series)
conductor() (sage.modular.dirichlet.DirichletCharacter method)
(sage.modular.local_comp.local_comp.LocalComponentBase method)
(sage.modular.local_comp.type_space.TypeSpace method)
conrey_number() (sage.modular.dirichlet.DirichletCharacter method)
conversion() (sage.modular.multiple_zeta.All_iterated.Element method)
coordinate_vector() (sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method)
coordinates() (sage.modular.overconvergent.genus0.OverconvergentModularFormElement method)
coproduct() (sage.modular.multiple_zeta.Multizetas_iterated method)
(sage.modular.multiple_zeta.Multizetas_iterated.Element method)
coproduct_iterator() (in module sage.modular.multiple_zeta)
coproduct_on_basis() (sage.modular.multiple_zeta.Multizetas_iterated method)
cps_u() (sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method)
create_key() (sage.modular.dirichlet.DirichletGroupFactory method)
create_object() (sage.modular.dirichlet.DirichletGroupFactory method)
Cusp (class in sage.modular.cusps)
CuspFamily (class in sage.modular.etaproducts)
Cusps (in module sage.modular.cusps)
Cusps_class (class in sage.modular.cusps)
cyclic_submodules() (sage.modular.quatalg.brandt.BrandtModule_class method)
cyclotomic_data() (sage.modular.hypergeometric_motive.HypergeometricData method)
cyclotomic_to_alpha() (in module sage.modular.hypergeometric_motive)
cyclotomic_to_gamma() (in module sage.modular.hypergeometric_motive)
D
D_on_basis() (sage.modular.multiple_zeta.Multizetas_iterated method)
D_on_compo() (in module sage.modular.multiple_zeta)
decomposition() (sage.modular.dirichlet.DirichletCharacter method)
(sage.modular.dirichlet.DirichletGroup_class method)
defining_polynomials() (sage.modular.hypergeometric_motive.HypergeometricData method)
degree() (sage.modular.etaproducts.EtaGroupElement method)
(sage.modular.hypergeometric_motive.HypergeometricData method)
degree_on_basis() (sage.modular.multiple_zeta.Multizetas method)
(sage.modular.multiple_zeta.Multizetas_iterated method)
denominator() (sage.modular.cusps.Cusp method)
(sage.modular.cusps_nf.NFCusp method)
dimension() (sage.modular.ssmod.ssmod.SupersingularModule method)
dimension_cusp_forms() (in module sage.modular.dims)
dimension_eis() (in module sage.modular.dims)
dimension_modular_forms() (in module sage.modular.dims)
dimension_new_cusp_forms() (in module sage.modular.dims)
dimension_supersingular_module() (in module sage.modular.ssmod.ssmod)
DirichletCharacter (class in sage.modular.dirichlet)
DirichletGroup_class (class in sage.modular.dirichlet)
DirichletGroupFactory (class in sage.modular.dirichlet)
discrete_log() (sage.modular.local_comp.smoothchar.SmoothCharacterGroupGeneric method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupQp method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupQuadratic method)
divisor() (sage.modular.etaproducts.EtaGroupElement method)
dual() (sage.modular.multiple_zeta.All_iterated method)
dual_composition() (in module sage.modular.multiple_zeta)
dual_on_basis() (sage.modular.multiple_zeta.All_iterated method)
(sage.modular.multiple_zeta.Multizetas_iterated method)
E
ech_form() (in module sage.modular.overconvergent.hecke_series)
eigenfunctions() (sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method)
eigensymbol_subspace() (sage.modular.local_comp.type_space.TypeSpace method)
eigenvalue() (sage.modular.overconvergent.genus0.OverconvergentModularFormElement method)
eisen() (in module sage.modular.dims)
eisenstein_subspace() (sage.modular.quatalg.brandt.BrandtModule_class method)
Element (sage.modular.cusps.Cusps_class attribute)
(sage.modular.dirichlet.DirichletGroup_class attribute)
(sage.modular.etaproducts.EtaGroup_class attribute)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupGeneric attribute)
(sage.modular.quatalg.brandt.BrandtModule_class attribute)
element() (sage.modular.dirichlet.DirichletCharacter method)
enumerate_hypergeometric_data() (in module sage.modular.hypergeometric_motive)
eta_poly_relations() (in module sage.modular.etaproducts)
EtaGroup() (in module sage.modular.etaproducts)
EtaGroup_class (class in sage.modular.etaproducts)
EtaGroupElement (class in sage.modular.etaproducts)
EtaProduct() (in module sage.modular.etaproducts)
euler_factor() (sage.modular.hypergeometric_motive.HypergeometricData method)
example_type_space() (in module sage.modular.local_comp.type_space)
expand() (sage.modular.multiple_zeta.All_iterated method)
expand_on_basis() (sage.modular.multiple_zeta.All_iterated method)
exponent() (sage.modular.dirichlet.DirichletGroup_class method)
exponents() (sage.modular.local_comp.smoothchar.SmoothCharacterGroupGeneric method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupQp method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupRamifiedQuadratic method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupUnramifiedQuadratic method)
extend() (sage.modular.dirichlet.DirichletCharacter method)
extend_character() (sage.modular.local_comp.smoothchar.SmoothCharacterGroupQuadratic method)
extend_multiplicative_basis() (in module sage.modular.multiple_zeta)
F
F_prod() (in module sage.modular.multiple_zeta)
F_ring() (in module sage.modular.multiple_zeta)
F_ring_generator() (in module sage.modular.multiple_zeta)
f_to_vector() (in module sage.modular.multiple_zeta)
find_in_space() (in module sage.modular.local_comp.type_space)
fixed_field() (sage.modular.dirichlet.DirichletCharacter method)
fixed_field_polynomial() (sage.modular.dirichlet.DirichletCharacter method)
form() (sage.modular.local_comp.type_space.TypeSpace method)
free_module() (sage.modular.local_comp.type_space.TypeSpace method)
(sage.modular.quatalg.brandt.BrandtModule_class method)
(sage.modular.ssmod.ssmod.SupersingularModule method)
from_dirichlet() (sage.modular.local_comp.smoothchar.SmoothCharacterGroupQp method)
G
galois_action() (sage.modular.cusps.Cusp method)
galois_conjugate() (sage.modular.local_comp.smoothchar.SmoothCharacterGeneric method)
galois_orbit() (sage.modular.dirichlet.DirichletCharacter method)
galois_orbits() (sage.modular.dirichlet.DirichletGroup_class method)
Gamma0_NFCusps() (in module sage.modular.cusps_nf)
gamma_array() (sage.modular.hypergeometric_motive.HypergeometricData method)
gamma_list() (sage.modular.hypergeometric_motive.HypergeometricData method)
gamma_list_to_cyclotomic() (in module sage.modular.hypergeometric_motive)
gauss_sum() (sage.modular.dirichlet.DirichletCharacter method)
gauss_sum_numerical() (sage.modular.dirichlet.DirichletCharacter method)
gauss_table() (sage.modular.hypergeometric_motive.HypergeometricData method)
gauss_table_full() (sage.modular.hypergeometric_motive.HypergeometricData method)
gen() (sage.modular.dirichlet.DirichletGroup_class method)
(sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method)
gens() (sage.modular.dirichlet.DirichletGroup_class method)
(sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method)
gens_dict() (sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method)
gexp() (sage.modular.overconvergent.genus0.OverconvergentModularFormElement method)
governing_term() (sage.modular.overconvergent.genus0.OverconvergentModularFormElement method)
gp() (in module sage.modular.buzzard)
group() (sage.modular.local_comp.type_space.TypeSpace method)
H
H_value() (sage.modular.hypergeometric_motive.HypergeometricData method)
half_product() (sage.modular.multiple_zeta.Multizetas method)
(sage.modular.multiple_zeta.Multizetas_iterated method)
half_product_on_basis() (sage.modular.multiple_zeta.Multizetas_iterated method)
has_symmetry_at_one() (sage.modular.hypergeometric_motive.HypergeometricData method)
hecke_matrix() (sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method)
(sage.modular.quatalg.brandt.BrandtModule_class method)
(sage.modular.ssmod.ssmod.SupersingularModule method)
hecke_operator() (sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method)
hecke_series() (in module sage.modular.overconvergent.hecke_series)
hecke_series_degree_bound() (in module sage.modular.overconvergent.hecke_series)
higher_level_katz_exp() (in module sage.modular.overconvergent.hecke_series)
higher_level_UpGj() (in module sage.modular.overconvergent.hecke_series)
hodge_function() (sage.modular.hypergeometric_motive.HypergeometricData method)
hodge_numbers() (sage.modular.hypergeometric_motive.HypergeometricData method)
hodge_polygon_vertices() (sage.modular.hypergeometric_motive.HypergeometricData method)
hodge_polynomial() (sage.modular.hypergeometric_motive.HypergeometricData method)
HypergeometricData (class in sage.modular.hypergeometric_motive)
I
ideal() (sage.modular.cusps_nf.NFCusp method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupGeneric method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupQp method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupRamifiedQuadratic method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupUnramifiedQuadratic method)
ImprimitiveLocalComponent (class in sage.modular.local_comp.local_comp)
integers_mod() (sage.modular.dirichlet.DirichletGroup_class method)
is_cuspidal() (sage.modular.quatalg.brandt.BrandtModule_class method)
is_DirichletCharacter() (in module sage.modular.dirichlet)
is_DirichletGroup() (in module sage.modular.dirichlet)
is_eigenform() (sage.modular.overconvergent.genus0.OverconvergentModularFormElement method)
is_even() (sage.modular.dirichlet.DirichletCharacter method)
(sage.modular.overconvergent.weightspace.WeightCharacter method)
is_exact() (sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method)
is_gamma0_equiv() (sage.modular.cusps.Cusp method)
is_Gamma0_equivalent() (sage.modular.cusps_nf.NFCusp method)
is_gamma1_equiv() (sage.modular.cusps.Cusp method)
is_gamma_h_equiv() (sage.modular.cusps.Cusp method)
is_infinity() (sage.modular.cusps.Cusp method)
(sage.modular.cusps_nf.NFCusp method)
is_integral() (sage.modular.overconvergent.genus0.OverconvergentModularFormElement method)
is_minimal() (sage.modular.local_comp.type_space.TypeSpace method)
is_odd() (sage.modular.dirichlet.DirichletCharacter method)
is_one() (sage.modular.etaproducts.EtaGroupElement method)
is_primitive() (sage.modular.dirichlet.DirichletCharacter method)
(sage.modular.hypergeometric_motive.HypergeometricData method)
(sage.modular.local_comp.local_comp.ImprimitiveLocalComponent method)
(sage.modular.local_comp.local_comp.PrimitiveLocalComponent method)
is_trivial() (sage.modular.dirichlet.DirichletCharacter method)
(sage.modular.overconvergent.weightspace.WeightCharacter method)
is_valid_weight_list() (in module sage.modular.overconvergent.hecke_series)
is_zero() (sage.modular.multiple_zeta.Multizetas.Element method)
(sage.modular.multiple_zeta.Multizetas_iterated.Element method)
iterated() (sage.modular.multiple_zeta.Multizetas method)
(sage.modular.multiple_zeta.Multizetas.Element method)
iterated_on_basis() (sage.modular.multiple_zeta.Multizetas method)
iterated_to_composition() (in module sage.modular.multiple_zeta)
J
jacobi_sum() (sage.modular.dirichlet.DirichletCharacter method)
K
k() (sage.modular.overconvergent.weightspace.AlgebraicWeight method)
katz_expansions() (in module sage.modular.overconvergent.hecke_series)
kernel() (sage.modular.dirichlet.DirichletCharacter method)
kloosterman_sum() (sage.modular.dirichlet.DirichletCharacter method)
kloosterman_sum_numerical() (sage.modular.dirichlet.DirichletCharacter method)
kronecker_character() (in module sage.modular.dirichlet)
kronecker_character_upside_down() (in module sage.modular.dirichlet)
L
level() (sage.modular.dirichlet.DirichletCharacter method)
(sage.modular.etaproducts.CuspFamily method)
(sage.modular.etaproducts.EtaGroup_class method)
(sage.modular.etaproducts.EtaGroupElement method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGeneric method)
(sage.modular.ssmod.ssmod.SupersingularModule method)
level1_UpGj() (in module sage.modular.overconvergent.hecke_series)
lfunction() (sage.modular.dirichlet.DirichletCharacter method)
lift_for_SL() (in module sage.modular.local_comp.liftings)
lift_gen_to_gamma1() (in module sage.modular.local_comp.liftings)
lift_matrix_to_sl2z() (in module sage.modular.local_comp.liftings)
lift_ramified() (in module sage.modular.local_comp.liftings)
lift_to_gamma1() (in module sage.modular.local_comp.liftings)
lift_uniformiser_odd() (in module sage.modular.local_comp.liftings)
list() (sage.modular.dirichlet.DirichletGroup_class method)
list_of_representatives() (in module sage.modular.cusps_nf)
lmfdb_page() (sage.modular.dirichlet.DirichletCharacter method)
LocalComponent() (in module sage.modular.local_comp.local_comp)
LocalComponentBase (class in sage.modular.local_comp.local_comp)
low_weight_bases() (in module sage.modular.overconvergent.hecke_series)
low_weight_generators() (in module sage.modular.overconvergent.hecke_series)
Lvalue() (sage.modular.overconvergent.weightspace.AlgebraicWeight method)
(sage.modular.overconvergent.weightspace.WeightCharacter method)
M
M() (sage.modular.quatalg.brandt.BrandtModule_class method)
M_value() (sage.modular.hypergeometric_motive.HypergeometricData method)
maximal_order() (in module sage.modular.quatalg.brandt)
(sage.modular.quatalg.brandt.BrandtModule_class method)
maximize_base_ring() (sage.modular.dirichlet.DirichletCharacter method)
minimal_twist() (sage.modular.local_comp.local_comp.ImprimitiveLocalComponent method)
(sage.modular.local_comp.local_comp.PrimitiveLocalComponent method)
(sage.modular.local_comp.type_space.TypeSpace method)
minimize_base_ring() (sage.modular.dirichlet.DirichletCharacter method)
minimize_term() (in module sage.modular.multiple_zeta)
module
sage.modular.buzzard
sage.modular.cusps
sage.modular.cusps_nf
sage.modular.dims
sage.modular.dirichlet
sage.modular.etaproducts
sage.modular.hypergeometric_motive
sage.modular.local_comp.liftings
sage.modular.local_comp.local_comp
sage.modular.local_comp.smoothchar
sage.modular.local_comp.type_space
sage.modular.multiple_zeta
sage.modular.overconvergent.genus0
sage.modular.overconvergent.hecke_series
sage.modular.overconvergent.weightspace
sage.modular.quatalg.brandt
sage.modular.ssmod.ssmod
modulus() (sage.modular.dirichlet.DirichletCharacter method)
(sage.modular.dirichlet.DirichletGroup_class method)
monodromy_pairing() (sage.modular.quatalg.brandt.BrandtModuleElement method)
monodromy_weights() (sage.modular.quatalg.brandt.BrandtModule_class method)
multiplicative_order() (sage.modular.dirichlet.DirichletCharacter method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGeneric method)
Multizeta() (in module sage.modular.multiple_zeta)
Multizetas (class in sage.modular.multiple_zeta)
Multizetas.Element (class in sage.modular.multiple_zeta)
Multizetas_iterated (class in sage.modular.multiple_zeta)
Multizetas_iterated.Element (class in sage.modular.multiple_zeta)
MultizetaValues (class in sage.modular.multiple_zeta)
N
N() (sage.modular.quatalg.brandt.BrandtModule_class method)
newform() (sage.modular.local_comp.local_comp.LocalComponentBase method)
NFCusp (class in sage.modular.cusps_nf)
NFCusps() (in module sage.modular.cusps_nf)
NFCusps_ideal_reps_for_levelN() (in module sage.modular.cusps_nf)
NFCuspsSpace (class in sage.modular.cusps_nf)
ngens() (sage.modular.dirichlet.DirichletGroup_class method)
(sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method)
norm_character() (sage.modular.local_comp.smoothchar.SmoothCharacterGroupGeneric method)
normalising_factor() (sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method)
num_cusps_of_width() (in module sage.modular.etaproducts)
number_field() (sage.modular.cusps_nf.NFCusp method)
(sage.modular.cusps_nf.NFCuspsSpace method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupQp method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupRamifiedQuadratic method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupUnramifiedQuadratic method)
number_of_Gamma0_NFCusps() (in module sage.modular.cusps_nf)
numerator() (sage.modular.cusps.Cusp method)
(sage.modular.cusps_nf.NFCusp method)
numerical_approx() (sage.modular.multiple_zeta.Multizetas.Element method)
(sage.modular.multiple_zeta.Multizetas_iterated.Element method)
O
one() (sage.modular.etaproducts.EtaGroup_class method)
one_basis() (sage.modular.multiple_zeta.Multizetas method)
(sage.modular.multiple_zeta.Multizetas_iterated method)
one_over_Lvalue() (sage.modular.overconvergent.weightspace.WeightCharacter method)
order() (sage.modular.dirichlet.DirichletGroup_class method)
order_at_cusp() (sage.modular.etaproducts.EtaGroupElement method)
order_of_level_N() (sage.modular.quatalg.brandt.BrandtModule_class method)
OverconvergentModularFormElement (class in sage.modular.overconvergent.genus0)
OverconvergentModularForms() (in module sage.modular.overconvergent.genus0)
OverconvergentModularFormsSpace (class in sage.modular.overconvergent.genus0)
P
padic_H_value() (sage.modular.hypergeometric_motive.HypergeometricData method)
pAdicEisensteinSeries() (sage.modular.overconvergent.weightspace.WeightCharacter method)
pari_eval() (sage.modular.multiple_zeta.MultizetaValues method)
phi() (sage.modular.multiple_zeta.Multizetas method)
(sage.modular.multiple_zeta.Multizetas.Element method)
(sage.modular.multiple_zeta.Multizetas_iterated method)
(sage.modular.multiple_zeta.Multizetas_iterated.Element method)
Phi2_quad() (in module sage.modular.ssmod.ssmod)
phi_as_vector() (sage.modular.multiple_zeta.Multizetas.Element method)
phi_extended() (sage.modular.multiple_zeta.Multizetas_iterated method)
phi_on_basis() (in module sage.modular.multiple_zeta)
phi_on_multiplicative_basis() (in module sage.modular.multiple_zeta)
Phi_polys() (in module sage.modular.ssmod.ssmod)
possible_hypergeometric_data() (in module sage.modular.hypergeometric_motive)
prec() (sage.modular.overconvergent.genus0.OverconvergentModularFormElement method)
(sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method)
prime() (sage.modular.local_comp.local_comp.LocalComponentBase method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupGeneric method)
(sage.modular.local_comp.type_space.TypeSpace method)
(sage.modular.overconvergent.genus0.OverconvergentModularFormElement method)
(sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method)
(sage.modular.overconvergent.weightspace.WeightSpace_class method)
(sage.modular.ssmod.ssmod.SupersingularModule method)
primitive_character() (sage.modular.dirichlet.DirichletCharacter method)
primitive_data() (sage.modular.hypergeometric_motive.HypergeometricData method)
primitive_index() (sage.modular.hypergeometric_motive.HypergeometricData method)
PrimitiveLocalComponent (class in sage.modular.local_comp.local_comp)
PrimitivePrincipalSeries (class in sage.modular.local_comp.local_comp)
PrimitiveSpecial (class in sage.modular.local_comp.local_comp)
PrimitiveSupercuspidal (class in sage.modular.local_comp.local_comp)
PrincipalSeries (class in sage.modular.local_comp.local_comp)
product_on_basis() (sage.modular.multiple_zeta.Multizetas method)
(sage.modular.multiple_zeta.Multizetas_iterated method)
Q
q_expansion() (sage.modular.etaproducts.EtaGroupElement method)
(sage.modular.overconvergent.genus0.OverconvergentModularFormElement method)
qexp() (sage.modular.etaproducts.EtaGroupElement method)
qexp_eta() (in module sage.modular.etaproducts)
quadratic_chars() (sage.modular.local_comp.smoothchar.SmoothCharacterGroupQp method)
quaternion_algebra() (sage.modular.quatalg.brandt.BrandtModule_class method)
quaternion_order_with_given_level() (in module sage.modular.quatalg.brandt)
quotient_gens() (sage.modular.local_comp.smoothchar.SmoothCharacterGroupQuadratic method)
R
r() (sage.modular.etaproducts.EtaGroupElement method)
r_ord() (sage.modular.overconvergent.genus0.OverconvergentModularFormElement method)
radius() (sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method)
random_element() (sage.modular.dirichlet.DirichletGroup_class method)
random_low_weight_bases() (in module sage.modular.overconvergent.hecke_series)
random_new_basis_modp() (in module sage.modular.overconvergent.hecke_series)
random_solution() (in module sage.modular.overconvergent.hecke_series)
rank() (sage.modular.ssmod.ssmod.SupersingularModule method)
recurrence_matrix() (sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method)
reduce_basis() (sage.modular.etaproducts.EtaGroup_class method)
regularise() (sage.modular.multiple_zeta.All_iterated.Element method)
reset() (sage.modular.multiple_zeta.MultizetaValues method)
restrict() (sage.modular.dirichlet.DirichletCharacter method)
restrict_to_Qp() (sage.modular.local_comp.smoothchar.SmoothCharacterGeneric method)
reversal() (sage.modular.multiple_zeta.All_iterated method)
reversal_on_basis() (sage.modular.multiple_zeta.All_iterated method)
rho() (sage.modular.local_comp.type_space.TypeSpace method)
rho_inverse() (in module sage.modular.multiple_zeta)
rho_matrix_inverse() (in module sage.modular.multiple_zeta)
right_ideals() (sage.modular.quatalg.brandt.BrandtModule_class method)
right_order() (in module sage.modular.quatalg.brandt)
S
sage.modular.buzzard
module
sage.modular.cusps
module
sage.modular.cusps_nf
module
sage.modular.dims
module
sage.modular.dirichlet
module
sage.modular.etaproducts
module
sage.modular.hypergeometric_motive
module
sage.modular.local_comp.liftings
module
sage.modular.local_comp.local_comp
module
sage.modular.local_comp.smoothchar
module
sage.modular.local_comp.type_space
module
sage.modular.multiple_zeta
module
sage.modular.overconvergent.genus0
module
sage.modular.overconvergent.hecke_series
module
sage.modular.overconvergent.weightspace
module
sage.modular.quatalg.brandt
module
sage.modular.ssmod.ssmod
module
sage_cusp() (sage.modular.etaproducts.CuspFamily method)
satake_polynomial() (sage.modular.local_comp.local_comp.UnramifiedPrincipalSeries method)
sign() (sage.modular.hypergeometric_motive.HypergeometricData method)
simplify() (sage.modular.multiple_zeta.Multizetas.Element method)
(sage.modular.multiple_zeta.Multizetas_iterated.Element method)
simplify_full() (sage.modular.multiple_zeta.Multizetas.Element method)
single_valued() (sage.modular.multiple_zeta.Multizetas.Element method)
slope() (sage.modular.overconvergent.genus0.OverconvergentModularFormElement method)
slopes() (sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method)
SmoothCharacterGeneric (class in sage.modular.local_comp.smoothchar)
SmoothCharacterGroupGeneric (class in sage.modular.local_comp.smoothchar)
SmoothCharacterGroupQp (class in sage.modular.local_comp.smoothchar)
SmoothCharacterGroupQuadratic (class in sage.modular.local_comp.smoothchar)
SmoothCharacterGroupRamifiedQuadratic (class in sage.modular.local_comp.smoothchar)
SmoothCharacterGroupUnramifiedQuadratic (class in sage.modular.local_comp.smoothchar)
some_elements() (sage.modular.multiple_zeta.Multizetas method)
species() (sage.modular.local_comp.local_comp.ImprimitiveLocalComponent method)
(sage.modular.local_comp.local_comp.LocalComponentBase method)
(sage.modular.local_comp.local_comp.PrimitiveSpecial method)
(sage.modular.local_comp.local_comp.PrimitiveSupercuspidal method)
(sage.modular.local_comp.local_comp.PrincipalSeries method)
sturm_bound() (in module sage.modular.dims)
subgroup_gens() (sage.modular.local_comp.smoothchar.SmoothCharacterGroupGeneric method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupQp method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupRamifiedQuadratic method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupUnramifiedQuadratic method)
supersingular_D() (in module sage.modular.ssmod.ssmod)
supersingular_j() (in module sage.modular.ssmod.ssmod)
supersingular_points() (sage.modular.ssmod.ssmod.SupersingularModule method)
SupersingularModule (class in sage.modular.ssmod.ssmod)
swap_alpha_beta() (sage.modular.hypergeometric_motive.HypergeometricData method)
T
tame_level() (sage.modular.local_comp.type_space.TypeSpace method)
teichmuller_type() (sage.modular.overconvergent.weightspace.AlgebraicWeight method)
(sage.modular.overconvergent.weightspace.ArbitraryWeight method)
trace() (sage.modular.hypergeometric_motive.HypergeometricData method)
trivial_character() (in module sage.modular.dirichlet)
TrivialCharacter() (in module sage.modular.dirichlet)
twist() (sage.modular.hypergeometric_motive.HypergeometricData method)
twist_factor() (sage.modular.local_comp.local_comp.LocalComponentBase method)
twisting_character() (sage.modular.local_comp.local_comp.ImprimitiveLocalComponent method)
type_space() (sage.modular.local_comp.local_comp.PrimitiveSupercuspidal method)
TypeSpace (class in sage.modular.local_comp.type_space)
U
u() (sage.modular.local_comp.type_space.TypeSpace method)
unit_gens() (sage.modular.dirichlet.DirichletGroup_class method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupGeneric method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupQp method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupRamifiedQuadratic method)
(sage.modular.local_comp.smoothchar.SmoothCharacterGroupUnramifiedQuadratic method)
units_mod_ideal() (in module sage.modular.cusps_nf)
UnramifiedPrincipalSeries (class in sage.modular.local_comp.local_comp)
update() (sage.modular.multiple_zeta.MultizetaValues method)
upper_bound_on_elliptic_factors() (sage.modular.ssmod.ssmod.SupersingularModule method)
V
valuation() (sage.modular.overconvergent.genus0.OverconvergentModularFormElement method)
valuation_plot() (sage.modular.overconvergent.genus0.OverconvergentModularFormElement method)
Values (in module sage.modular.multiple_zeta)
values() (sage.modular.dirichlet.DirichletCharacter method)
values_on_gens() (sage.modular.dirichlet.DirichletCharacter method)
(sage.modular.overconvergent.weightspace.WeightCharacter method)
vector_to_f() (in module sage.modular.multiple_zeta)
W
weight() (sage.modular.hypergeometric_motive.HypergeometricData method)
(sage.modular.overconvergent.genus0.OverconvergentModularFormElement method)
(sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method)
(sage.modular.ssmod.ssmod.SupersingularModule method)
WeightCharacter (class in sage.modular.overconvergent.weightspace)
WeightSpace_class (class in sage.modular.overconvergent.weightspace)
WeightSpace_constructor() (in module sage.modular.overconvergent.weightspace)
width() (sage.modular.etaproducts.CuspFamily method)
wild_primes() (sage.modular.hypergeometric_motive.HypergeometricData method)
Z
zero() (sage.modular.cusps_nf.NFCuspsSpace method)
(sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method)
(sage.modular.overconvergent.weightspace.WeightSpace_class method)
zeta() (sage.modular.dirichlet.DirichletGroup_class method)
zeta_order() (sage.modular.dirichlet.DirichletGroup_class method)
zigzag() (sage.modular.hypergeometric_motive.HypergeometricData method)
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