Index

A

a() (sage.modular.arithgroup.arithgroup_element.ArithmeticSubgroupElement method) acton() (sage.modular.arithgroup.arithgroup_element.ArithmeticSubgroupElement method) are_equivalent() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) (sage.modular.arithgroup.congroup_gamma.Gamma_class method) ArithmeticSubgroup (class in sage.modular.arithgroup.arithgroup_generic)

ArithmeticSubgroup_Permutation() (in module sage.modular.arithgroup.arithgroup_perm) ArithmeticSubgroup_Permutation_class (class in sage.modular.arithgroup.arithgroup_perm) ArithmeticSubgroupElement (class in sage.modular.arithgroup.arithgroup_element) as_permutation_group() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method)

B

b() (sage.modular.arithgroup.arithgroup_element.ArithmeticSubgroupElement method)

C

c() (sage.modular.arithgroup.arithgroup_element.ArithmeticSubgroupElement method) congruence_closure() (sage.modular.arithgroup.arithgroup_perm.ArithmeticSubgroup_Permutation_class method) CongruenceSubgroup (class in sage.modular.arithgroup.congroup_generic) CongruenceSubgroup_constructor() (in module sage.modular.arithgroup.congroup_generic) CongruenceSubgroupBase (class in sage.modular.arithgroup.congroup_generic) CongruenceSubgroupFromGroup (class in sage.modular.arithgroup.congroup_generic) coset_graph() (sage.modular.arithgroup.arithgroup_perm.ArithmeticSubgroup_Permutation_class method)

coset_reps() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) (sage.modular.arithgroup.arithgroup_perm.EvenArithmeticSubgroup_Permutation method) (sage.modular.arithgroup.congroup_gamma0.Gamma0_class method) (sage.modular.arithgroup.congroup_gammaH.GammaH_class method) (sage.modular.arithgroup.farey_symbol.Farey method) cusp_class() (sage.modular.arithgroup.farey_symbol.Farey method) cusp_data() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) cusp_width() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) cusp_widths() (sage.modular.arithgroup.arithgroup_perm.EvenArithmeticSubgroup_Permutation method) (sage.modular.arithgroup.arithgroup_perm.OddArithmeticSubgroup_Permutation method) (sage.modular.arithgroup.farey_symbol.Farey method) cusps() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) (sage.modular.arithgroup.farey_symbol.Farey method)

D

d() (sage.modular.arithgroup.arithgroup_element.ArithmeticSubgroupElement method) degeneracy_coset_representatives_gamma0() (in module sage.modular.arithgroup.congroup) degeneracy_coset_representatives_gamma1() (in module sage.modular.arithgroup.congroup) det() (sage.modular.arithgroup.arithgroup_element.ArithmeticSubgroupElement method) determinant() (sage.modular.arithgroup.arithgroup_element.ArithmeticSubgroupElement method)

dimension_cusp_forms() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) (sage.modular.arithgroup.congroup_gamma1.Gamma1_class method) dimension_eis() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) (sage.modular.arithgroup.congroup_gamma1.Gamma1_class method) dimension_modular_forms() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) (sage.modular.arithgroup.congroup_gamma1.Gamma1_class method) dimension_new_cusp_forms() (sage.modular.arithgroup.congroup_gamma1.Gamma1_class method) (sage.modular.arithgroup.congroup_gammaH.GammaH_class method) divisor_subgroups() (sage.modular.arithgroup.congroup_gamma0.Gamma0_class method) (sage.modular.arithgroup.congroup_gammaH.GammaH_class method)

E

Element (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup attribute) eval_sl2z_word() (in module sage.modular.arithgroup.arithgroup_perm)

EvenArithmeticSubgroup_Permutation (class in sage.modular.arithgroup.arithgroup_perm) extend() (sage.modular.arithgroup.congroup_gammaH.GammaH_class method)

F

Farey (class in sage.modular.arithgroup.farey_symbol) farey_symbol() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method)

fractions() (sage.modular.arithgroup.farey_symbol.Farey method) fundamental_domain() (sage.modular.arithgroup.farey_symbol.Farey method)

G

Gamma0_class (class in sage.modular.arithgroup.congroup_gamma0) Gamma0_constructor() (in module sage.modular.arithgroup.congroup_gamma0) gamma0_coset_reps() (sage.modular.arithgroup.congroup_gammaH.GammaH_class method) Gamma1_class (class in sage.modular.arithgroup.congroup_gamma1) Gamma1_constructor() (in module sage.modular.arithgroup.congroup_gamma1) Gamma_class (class in sage.modular.arithgroup.congroup_gamma) Gamma_constructor() (in module sage.modular.arithgroup.congroup_gamma) gamma_h_subgroups() (sage.modular.arithgroup.congroup_gamma0.Gamma0_class method)

GammaH_class (class in sage.modular.arithgroup.congroup_gammaH) GammaH_constructor() (in module sage.modular.arithgroup.congroup_gammaH) gen() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) generalised_level() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) (sage.modular.arithgroup.arithgroup_perm.ArithmeticSubgroup_Permutation_class method) generators() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) (sage.modular.arithgroup.congroup_gamma0.Gamma0_class method) (sage.modular.arithgroup.congroup_gamma1.Gamma1_class method) (sage.modular.arithgroup.congroup_gammaH.GammaH_class method) (sage.modular.arithgroup.farey_symbol.Farey method) generators_helper() (in module sage.modular.arithgroup.congroup) gens() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) genus() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) (sage.modular.arithgroup.farey_symbol.Farey method)

H

HsuExample10() (in module sage.modular.arithgroup.arithgroup_perm)

HsuExample18() (in module sage.modular.arithgroup.arithgroup_perm)

I

image_mod_n() (sage.modular.arithgroup.congroup_gamma.Gamma_class method) (sage.modular.arithgroup.congroup_gammaH.GammaH_class method) (sage.modular.arithgroup.congroup_generic.CongruenceSubgroup method) (sage.modular.arithgroup.congroup_generic.CongruenceSubgroupFromGroup method) index() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) (sage.modular.arithgroup.arithgroup_perm.ArithmeticSubgroup_Permutation_class method) (sage.modular.arithgroup.congroup_gamma.Gamma_class method) (sage.modular.arithgroup.congroup_gamma0.Gamma0_class method) (sage.modular.arithgroup.congroup_gamma1.Gamma1_class method) (sage.modular.arithgroup.congroup_gammaH.GammaH_class method) (sage.modular.arithgroup.congroup_generic.CongruenceSubgroupFromGroup method) (sage.modular.arithgroup.farey_symbol.Farey method) is_abelian() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) is_ArithmeticSubgroup() (in module sage.modular.arithgroup.arithgroup_generic) is_congruence() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) (sage.modular.arithgroup.arithgroup_perm.ArithmeticSubgroup_Permutation_class method) (sage.modular.arithgroup.congroup_generic.CongruenceSubgroupBase method) is_CongruenceSubgroup() (in module sage.modular.arithgroup.congroup_generic) is_even() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) (sage.modular.arithgroup.arithgroup_perm.EvenArithmeticSubgroup_Permutation method) (sage.modular.arithgroup.arithgroup_perm.OddArithmeticSubgroup_Permutation method) (sage.modular.arithgroup.congroup_gamma0.Gamma0_class method) (sage.modular.arithgroup.congroup_gamma1.Gamma1_class method) (sage.modular.arithgroup.congroup_gammaH.GammaH_class method) is_finite() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) is_Gamma() (in module sage.modular.arithgroup.congroup_gamma)

is_Gamma0() (in module sage.modular.arithgroup.congroup_gamma0) is_Gamma1() (in module sage.modular.arithgroup.congroup_gamma1) is_GammaH() (in module sage.modular.arithgroup.congroup_gammaH) is_normal() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) (sage.modular.arithgroup.arithgroup_perm.ArithmeticSubgroup_Permutation_class method) is_odd() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) (sage.modular.arithgroup.arithgroup_perm.EvenArithmeticSubgroup_Permutation method) (sage.modular.arithgroup.arithgroup_perm.OddArithmeticSubgroup_Permutation method) is_parent_of() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) is_regular_cusp() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) is_SL2Z() (in module sage.modular.arithgroup.congroup_sl2z) is_subgroup() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) (sage.modular.arithgroup.congroup_gamma0.Gamma0_class method) (sage.modular.arithgroup.congroup_gamma1.Gamma1_class method) (sage.modular.arithgroup.congroup_gammaH.GammaH_class method) (sage.modular.arithgroup.congroup_sl2z.SL2Z_class method)

L

L() (sage.modular.arithgroup.arithgroup_perm.ArithmeticSubgroup_Permutation_class method)

level() (sage.modular.arithgroup.congroup_generic.CongruenceSubgroupBase method) (sage.modular.arithgroup.farey_symbol.Farey method)

M

matrix() (sage.modular.arithgroup.arithgroup_element.ArithmeticSubgroupElement method) modular_abelian_variety() (sage.modular.arithgroup.congroup_generic.CongruenceSubgroup method)

modular_symbols() (sage.modular.arithgroup.congroup_generic.CongruenceSubgroup method) mumu() (in module sage.modular.arithgroup.congroup_gammaH)

N

ncusps() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) (sage.modular.arithgroup.arithgroup_perm.EvenArithmeticSubgroup_Permutation method) (sage.modular.arithgroup.arithgroup_perm.OddArithmeticSubgroup_Permutation method) (sage.modular.arithgroup.congroup_gamma.Gamma_class method) (sage.modular.arithgroup.congroup_gamma0.Gamma0_class method) (sage.modular.arithgroup.congroup_gamma1.Gamma1_class method) (sage.modular.arithgroup.congroup_gammaH.GammaH_class method) ngens() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) nirregcusps() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) (sage.modular.arithgroup.arithgroup_perm.OddArithmeticSubgroup_Permutation method) (sage.modular.arithgroup.congroup_gamma.Gamma_class method) (sage.modular.arithgroup.congroup_gammaH.GammaH_class method)

nregcusps() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) (sage.modular.arithgroup.arithgroup_perm.OddArithmeticSubgroup_Permutation method) (sage.modular.arithgroup.congroup_gammaH.GammaH_class method) nu2() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) (sage.modular.arithgroup.arithgroup_perm.EvenArithmeticSubgroup_Permutation method) (sage.modular.arithgroup.arithgroup_perm.OddArithmeticSubgroup_Permutation method) (sage.modular.arithgroup.congroup_gamma0.Gamma0_class method) (sage.modular.arithgroup.congroup_gamma1.Gamma1_class method) (sage.modular.arithgroup.congroup_gammaH.GammaH_class method) (sage.modular.arithgroup.farey_symbol.Farey method) nu3() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) (sage.modular.arithgroup.arithgroup_perm.EvenArithmeticSubgroup_Permutation method) (sage.modular.arithgroup.arithgroup_perm.OddArithmeticSubgroup_Permutation method) (sage.modular.arithgroup.congroup_gamma.Gamma_class method) (sage.modular.arithgroup.congroup_gamma0.Gamma0_class method) (sage.modular.arithgroup.congroup_gamma1.Gamma1_class method) (sage.modular.arithgroup.congroup_gammaH.GammaH_class method) (sage.modular.arithgroup.farey_symbol.Farey method)

O

odd_subgroups() (sage.modular.arithgroup.arithgroup_perm.EvenArithmeticSubgroup_Permutation method) OddArithmeticSubgroup_Permutation (class in sage.modular.arithgroup.arithgroup_perm)

one_odd_subgroup() (sage.modular.arithgroup.arithgroup_perm.EvenArithmeticSubgroup_Permutation method) order() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method)

P

paired_sides() (sage.modular.arithgroup.farey_symbol.Farey method) pairing_matrices() (sage.modular.arithgroup.farey_symbol.Farey method) pairing_matrices_to_tietze_index() (sage.modular.arithgroup.farey_symbol.Farey method) pairings() (sage.modular.arithgroup.farey_symbol.Farey method)

perm_group() (sage.modular.arithgroup.arithgroup_perm.ArithmeticSubgroup_Permutation_class method) permutation_action() (sage.modular.arithgroup.arithgroup_perm.ArithmeticSubgroup_Permutation_class method) projective_index() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method)

R

R() (sage.modular.arithgroup.arithgroup_perm.ArithmeticSubgroup_Permutation_class method) random_element() (sage.modular.arithgroup.arithgroup_perm.ArithmeticSubgroup_Permutation_class method) (sage.modular.arithgroup.congroup_sl2z.SL2Z_class method) reduce_cusp() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) (sage.modular.arithgroup.congroup_gamma.Gamma_class method) (sage.modular.arithgroup.congroup_gammaH.GammaH_class method) (sage.modular.arithgroup.congroup_sl2z.SL2Z_class method)

reduce_to_cusp() (sage.modular.arithgroup.farey_symbol.Farey method) relabel() (sage.modular.arithgroup.arithgroup_perm.ArithmeticSubgroup_Permutation_class method) restrict() (sage.modular.arithgroup.congroup_gammaH.GammaH_class method)

S

S2() (sage.modular.arithgroup.arithgroup_perm.ArithmeticSubgroup_Permutation_class method) S3() (sage.modular.arithgroup.arithgroup_perm.ArithmeticSubgroup_Permutation_class method) sage.modular.arithgroup.arithgroup_element (module) sage.modular.arithgroup.arithgroup_generic (module) sage.modular.arithgroup.arithgroup_perm (module) sage.modular.arithgroup.congroup (module) sage.modular.arithgroup.congroup_gamma (module) sage.modular.arithgroup.congroup_gamma0 (module) sage.modular.arithgroup.congroup_gamma1 (module)

sage.modular.arithgroup.congroup_gammaH (module) sage.modular.arithgroup.congroup_generic (module) sage.modular.arithgroup.congroup_sl2z (module) sage.modular.arithgroup.farey_symbol (module) SL2Z_class (class in sage.modular.arithgroup.congroup_sl2z) sl2z_word_problem() (in module sage.modular.arithgroup.arithgroup_perm) sturm_bound() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) surgroups() (sage.modular.arithgroup.arithgroup_perm.ArithmeticSubgroup_Permutation_class method)

T

to_even_subgroup() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) (sage.modular.arithgroup.arithgroup_perm.EvenArithmeticSubgroup_Permutation method) (sage.modular.arithgroup.arithgroup_perm.OddArithmeticSubgroup_Permutation method) (sage.modular.arithgroup.congroup_gammaH.GammaH_class method) (sage.modular.arithgroup.congroup_generic.CongruenceSubgroupFromGroup method) todd_coxeter() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) (sage.modular.arithgroup.arithgroup_perm.EvenArithmeticSubgroup_Permutation method)

todd_coxeter_l_s2() (sage.modular.arithgroup.arithgroup_perm.EvenArithmeticSubgroup_Permutation method) todd_coxeter_s2_s3() (sage.modular.arithgroup.arithgroup_perm.EvenArithmeticSubgroup_Permutation method)

W

word_of_perms() (in module sage.modular.arithgroup.arithgroup_perm)

word_problem() (sage.modular.arithgroup.farey_symbol.Farey method)