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modules
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Arithmetic Subgroups of ${\rm SL}_2({\bf Z})$
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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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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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R
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S
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T
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W
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)
atkin_lehner_matrix() (sage.modular.arithgroup.congroup_gammaH.GammaH_class method)
B
b() (sage.modular.arithgroup.arithgroup_element.ArithmeticSubgroupElement method)
C
c() (sage.modular.arithgroup.arithgroup_element.ArithmeticSubgroupElement method)
characters_mod_H() (sage.modular.arithgroup.congroup_gammaH.GammaH_class 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)
(sage.modular.arithgroup.congroup_gammaH.GammaH_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_gamma0.Gamma0_class method)
(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)
matrix_space() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method)
modular_abelian_variety() (sage.modular.arithgroup.congroup_generic.CongruenceSubgroup method)
modular_symbols() (sage.modular.arithgroup.congroup_generic.CongruenceSubgroup method)
module
sage.modular.arithgroup.arithgroup_element
sage.modular.arithgroup.arithgroup_generic
sage.modular.arithgroup.arithgroup_perm
sage.modular.arithgroup.congroup
sage.modular.arithgroup.congroup_gamma
sage.modular.arithgroup.congroup_gamma0
sage.modular.arithgroup.congroup_gamma1
sage.modular.arithgroup.congroup_gammaH
sage.modular.arithgroup.congroup_generic
sage.modular.arithgroup.congroup_sl2z
sage.modular.arithgroup.farey_symbol
multiplicative_order() (sage.modular.arithgroup.arithgroup_element.ArithmeticSubgroupElement 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)
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Arithmetic Subgroups of ${\rm SL}_2({\bf Z})$
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