Index

_

__call__() (adeles.profinite_function.ProfiniteFibonacci method) (adeles.profinite_function.ProfiniteFunction method) __getitem__() (adeles.adele.Adele method) (adeles.idele.Idele method) (adeles.profinite_integer.ProfiniteInteger method) (adeles.profinite_number.ProfiniteNumber method) __init__() (adeles.adele.Adele method) (adeles.idele.Idele method) (adeles.profinite_integer.ProfiniteInteger method) (adeles.profinite_number.ProfiniteNumber method) _add_() (adeles.adele.Adele method) (adeles.profinite_integer.ProfiniteInteger method) (adeles.profinite_number.ProfiniteNumber method) _div_() (adeles.adele.Adele method) (adeles.idele.Idele method) (adeles.multiplicative_padic.MultiplicativePAdic method) (adeles.profinite_integer.ProfiniteInteger method) (adeles.profinite_number.ProfiniteNumber method) _element_constructor_() (adeles.adele.Adeles method) (adeles.idele.Ideles method) (adeles.multiplicative_padic.MultiplicativePAdics method) (adeles.profinite_integer.ProfiniteIntegers method) (adeles.profinite_number.ProfiniteNumbers method)

_floordiv_() (adeles.profinite_integer.ProfiniteInteger method) _from_idele() (adeles.adele.Adeles method) _from_modulo_element() (adeles.idele.Ideles method) _from_padic_numbers() (adeles.profinite_number.ProfiniteNumbers method) _from_padics() (adeles.adele.Adeles method) _from_ray_class() (adeles.idele.Ideles method) _mul_() (adeles.adele.Adele method) (adeles.idele.Idele method) (adeles.multiplicative_padic.MultiplicativePAdic method) (adeles.profinite_integer.ProfiniteInteger method) (adeles.profinite_number.ProfiniteNumber method) _richcmp_() (adeles.adele.Adele method) (adeles.idele.Idele method) (adeles.multiplicative_padic.MultiplicativePAdic method) (adeles.profinite_integer.ProfiniteInteger method) (adeles.profinite_number.ProfiniteNumber method) _sub_() (adeles.adele.Adele method) (adeles.profinite_integer.ProfiniteInteger method) (adeles.profinite_number.ProfiniteNumber method)

A

Adele (class in adeles.adele) Adeles (class in adeles.adele) adeles.adele module adeles.completion module adeles.hilbert module adeles.idele module adeles.matrix module adeles.modular module adeles.multiplicative_padic module

adeles.profinite_function module adeles.profinite_graph module adeles.profinite_integer module adeles.profinite_number module adeles.ray_class_group module adeles.shimura module AdelizationFunctor (class in adeles.adele) apply_fractional_linear_transformation() (in module adeles.modular)

C

center() (adeles.multiplicative_padic.MultiplicativePAdic method) characteristic() (adeles.adele.Adeles method) (adeles.profinite_integer.ProfiniteIntegers method) (adeles.profinite_number.ProfiniteNumbers method)

construction() (adeles.adele.Adeles method) (adeles.profinite_integer.ProfiniteIntegers method) (adeles.profinite_number.ProfiniteNumbers method)

D

denominator() (adeles.profinite_number.ProfiniteNumber method) (in module adeles.matrix)

denominator_matrix() (in module adeles.matrix)

E

Element (adeles.adele.Adeles attribute) (adeles.idele.Ideles attribute) (adeles.multiplicative_padic.MultiplicativePAdics attribute) (adeles.profinite_integer.ProfiniteIntegers attribute) (adeles.profinite_number.ProfiniteNumbers attribute) (adeles.ray_class_group.RayClassGroup attribute)

epsilon() (adeles.adele.Adeles method) (adeles.profinite_integer.ProfiniteIntegers method) (adeles.profinite_number.ProfiniteNumbers method) equivalent_coprime_ideal_multiplier() (adeles.ray_class_group.Modulus method) equivalent_ideal_coprime_to_other() (adeles.ray_class_group.Modulus method)

F

factor_GLQhat() (in module adeles.matrix) factor_GSpQhat() (in module adeles.matrix) factored_shimura_connecting_homomorphism() (in module adeles.shimura)

factorial_digits() (adeles.profinite_integer.ProfiniteInteger method) finite_part() (adeles.adele.Adele method) (adeles.idele.Idele method) fix_signs() (adeles.ray_class_group.Modulus method)

G

gamma_2() (in module adeles.modular) gen() (adeles.adele.Adeles method) (adeles.idele.Ideles method) (adeles.multiplicative_padic.MultiplicativePAdics method) (adeles.profinite_integer.ProfiniteIntegers method) (adeles.profinite_number.ProfiniteNumbers method)

gens() (adeles.adele.Adeles method) (adeles.idele.Ideles method) (adeles.multiplicative_padic.MultiplicativePAdics method) (adeles.profinite_integer.ProfiniteIntegers method) (adeles.profinite_number.ProfiniteNumbers method) gens_ideals() (adeles.ray_class_group.RayClassGroup method)

H

has_exact_finite_part() (adeles.idele.Idele method)

has_good_precision() (in module adeles.matrix)

I

ideal() (adeles.idele.Idele method) (adeles.ray_class_group.RayClassGroupElement method) Idele (class in adeles.idele) Ideles (class in adeles.idele) increase_precision() (adeles.idele.Idele method) infinite_completions() (in module adeles.completion) infinite_part() (adeles.adele.Adele method) (adeles.idele.Idele method) inverse() (adeles.idele.Idele method) (adeles.multiplicative_padic.MultiplicativePAdic method) is_abelian() (adeles.idele.Ideles method) (adeles.multiplicative_padic.MultiplicativePAdics method) is_commutative() (adeles.idele.Ideles method) (adeles.multiplicative_padic.MultiplicativePAdics method) is_exact() (adeles.adele.Adeles method) (adeles.idele.Ideles method) (adeles.multiplicative_padic.MultiplicativePAdics method) (adeles.profinite_integer.ProfiniteIntegers method) (adeles.profinite_number.ProfiniteNumbers method)

is_field() (adeles.adele.Adeles method) (adeles.profinite_integer.ProfiniteIntegers method) (adeles.profinite_number.ProfiniteNumbers method) is_finite() (adeles.adele.Adeles method) (adeles.idele.Ideles method) (adeles.multiplicative_padic.MultiplicativePAdics method) (adeles.profinite_integer.ProfiniteIntegers method) (adeles.profinite_number.ProfiniteNumbers method) is_finite_prime() (in module adeles.multiplicative_padic) is_integral() (adeles.idele.Idele method) (adeles.profinite_integer.ProfiniteInteger method) (adeles.profinite_number.ProfiniteNumber method) is_integral_domain() (adeles.adele.Adeles method) (adeles.profinite_integer.ProfiniteIntegers method) (adeles.profinite_number.ProfiniteNumbers method) is_noetherian() (adeles.profinite_integer.ProfiniteIntegers method) is_unit() (adeles.profinite_integer.ProfiniteInteger method) is_very_integral() (adeles.idele.Idele method)

K

krull_dimension() (adeles.profinite_integer.ProfiniteIntegers method)

M

matrix_modulo() (in module adeles.matrix) module adeles.adele adeles.completion adeles.hilbert adeles.idele adeles.matrix adeles.modular adeles.multiplicative_padic adeles.profinite_function adeles.profinite_graph adeles.profinite_integer adeles.profinite_number adeles.ray_class_group adeles.shimura

Modulus (class in adeles.ray_class_group) modulus() (adeles.profinite_integer.ProfiniteInteger method) (adeles.profinite_number.ProfiniteNumber method) (in module adeles.matrix) MulPAdic() (in module adeles.multiplicative_padic) MultiplicativePAdic (class in adeles.multiplicative_padic) MultiplicativePAdics (class in adeles.multiplicative_padic)

N

ngens() (adeles.adele.Adeles method) (adeles.idele.Ideles method) (adeles.multiplicative_padic.MultiplicativePAdics method) (adeles.profinite_integer.ProfiniteIntegers method) (adeles.profinite_number.ProfiniteNumbers method)

number_field() (adeles.adele.Adeles method) (adeles.idele.Ideles method) (adeles.multiplicative_padic.MultiplicativePAdics method) (adeles.profinite_integer.ProfiniteIntegers method) (adeles.profinite_number.ProfiniteNumbers method) numerator() (adeles.profinite_number.ProfiniteNumber method)

O

Omega() (in module adeles.matrix) order() (adeles.adele.Adeles method) (adeles.idele.Ideles method) (adeles.multiplicative_padic.MultiplicativePAdics method) (adeles.profinite_integer.ProfiniteIntegers method) (adeles.profinite_number.ProfiniteNumbers method)

P

pari_extended_ideal_to_sage() (in module adeles.ray_class_group) pari_real_places_to_sage() (in module adeles.ray_class_group) plot() (adeles.profinite_graph.ProfiniteGraph method) prec() (adeles.multiplicative_padic.MultiplicativePAdic method) precision() (adeles.multiplicative_padic.MultiplicativePAdic method) prime() (adeles.multiplicative_padic.MultiplicativePAdics method) prime_name() (adeles.multiplicative_padic.MultiplicativePAdics method) print_action_on_gamma_2() (in module adeles.modular) print_action_on_weber_f() (in module adeles.modular)

print_action_on_weber_f2() (in module adeles.modular) ProfiniteCompletionFunctor (class in adeles.profinite_integer) ProfiniteFibonacci (class in adeles.profinite_function) ProfiniteFunction (class in adeles.profinite_function) ProfiniteGraph (class in adeles.profinite_graph) ProfiniteGraph.View (class in adeles.profinite_graph) ProfiniteInteger (class in adeles.profinite_integer) ProfiniteIntegers (class in adeles.profinite_integer) ProfiniteNumber (class in adeles.profinite_number) ProfiniteNumbers (class in adeles.profinite_number)

R

random_element() (adeles.adele.Adeles method) (adeles.idele.Ideles method) (adeles.multiplicative_padic.MultiplicativePAdics method) (adeles.profinite_integer.ProfiniteIntegers method) (adeles.profinite_number.ProfiniteNumbers method) ray_class_field() (adeles.ray_class_group.RayClassGroup method)

ray_class_group() (in module adeles.ray_class_group) RayClassGroup (class in adeles.ray_class_group) RayClassGroupElement (class in adeles.ray_class_group) represents() (adeles.multiplicative_padic.MultiplicativePAdic method) (adeles.profinite_integer.ProfiniteInteger method) (adeles.profinite_number.ProfiniteNumber method)

S

set_colors() (adeles.profinite_graph.ProfiniteGraph method) set_identity_line() (adeles.profinite_graph.ProfiniteGraph method) set_minimal_axis_distance() (adeles.profinite_graph.ProfiniteGraph method) set_minimal_draw_area() (adeles.profinite_graph.ProfiniteGraph method) set_title() (adeles.profinite_graph.ProfiniteGraph method) set_window_sizes() (adeles.profinite_graph.ProfiniteGraph method) shimura_connecting_homomorphism() (in module adeles.shimura)

some_elements() (adeles.adele.Adeles method) (adeles.idele.Ideles method) (adeles.multiplicative_padic.MultiplicativePAdics method) (adeles.profinite_integer.ProfiniteIntegers method) (adeles.profinite_number.ProfiniteNumbers method) ST_factor() (in module adeles.modular) stored_primes() (adeles.idele.Idele method) str() (adeles.profinite_integer.ProfiniteInteger method)

T

to_rational_vector() (adeles.adele.Adele method) (adeles.profinite_number.ProfiniteNumber method)

to_ray_class() (adeles.idele.Idele method)

V

valuation() (adeles.idele.Idele method) (adeles.multiplicative_padic.MultiplicativePAdic method) value() (adeles.profinite_integer.ProfiniteInteger method) (adeles.profinite_number.ProfiniteNumber method)

value_matrix() (in module adeles.matrix) very_integral_split() (adeles.idele.Idele method) visual() (adeles.profinite_integer.ProfiniteInteger method)

W

weber_f() (in module adeles.modular)

weber_f1() (in module adeles.modular) weber_f2() (in module adeles.modular)