Index

A

ambient_integral_structure_matrix() (in module mdsage.maartens_sage_functions) apply() (in module mdsage.automorphisms_modsym)

atkin_lehner_divisors() (in module mdsage.ramification) atkin_lehner_ramification_degree() (in module mdsage.ramification)

B

b_j() (in module mdsage.automorphisms_modsym)

C

class_number() (in module mdsage.quadratic_class_numbers) class_numbers() (in module mdsage.quadratic_class_numbers) cm_orders2() (in module mdsage.quadratic_class_numbers) congruence_groups_between_gamma0_and_gamma1() (in module mdsage.maartens_sage_functions) conjectural_cuspidal_classgroup() (in module mdsage.modular_unit_divisors) coset_representatives_H (mdsage.kamiennys_criterion.KamiennyCriterion attribute) count_points_J_H() (in module mdsage.maartens_sage_functions) counts() (in module mdsage.maartens_sage_functions)

criterion_iterator() (in module mdsage.kamiennys_criterion) cusp_number_from_signature() (in module mdsage.modular_unit_divisors) cusp_sums_from_signature_to_standard_basis() (in module mdsage.modular_unit_divisors) cuspidal_integral_structure() (in module mdsage.cuspidal_classgroup) cuspidal_integral_structure_matrix() (in module mdsage.maartens_sage_functions) cuspidal_integral_to_rational_basis() (in module mdsage.maartens_sage_functions) cuspidal_rational_subgroup_mod_rational_cuspidal_subgroup() (in module mdsage.cuspidal_classgroup) cuspidal_rational_to_integral_basis() (in module mdsage.maartens_sage_functions) cuspsums_on_Gamma1_of_degree() (in module mdsage.modular_unit_divisors)

D

dbd() (mdsage.kamiennys_criterion.KamiennyCriterion method) degree_cusp() (in module mdsage.modular_unit_divisors) degree_pairing() (in module mdsage.modular_degrees_oldforms) degree_quadratic_form() (in module mdsage.modular_degrees_oldforms) dependencies() (mdsage.kamiennys_criterion.KamiennyCriterion method)

diamond_operator() (in module mdsage.maartens_sage_functions) diamond_orbit() (in module mdsage.maartens_sage_functions) diamond_orbits_cuspsum() (in module mdsage.modular_unit_divisors) diamond_permutation() (in module mdsage.modular_unit_divisors) divisor_F_bc() (in module mdsage.modular_unit_divisors)

G

galois_action() (in module mdsage.maartens_sage_functions) galois_orbit() (in module mdsage.maartens_sage_functions) galois_orbits() (in module mdsage.maartens_sage_functions) Gamma11() (in module mdsage.maartens_sage_functions) generators_of_subgroups_of_unit_group() (in module mdsage.maartens_sage_functions)

get_all_results_in_range() (in module mdsage.kamiennys_criterion) get_missing_primes_in_range_for_deg() (in module mdsage.kamiennys_criterion) get_results_from_dir() (in module mdsage.kamiennys_criterion) get_results_from_file() (in module mdsage.kamiennys_criterion) get_verify_input_for_prime() (in module mdsage.kamiennys_criterion) gonality_lower_bound() (in module mdsage.maartens_sage_functions)

H

has_modular_unit_of_degree() (in module mdsage.maartens_sage_functions)

hecke_polynomial (mdsage.kamiennys_criterion.KamiennyCriterion attribute)

I

integral_cuspidal_subspace() (mdsage.kamiennys_criterion.KamiennyCriterion method) intersection() (in module mdsage.cuspidal_classgroup)

invariant_subspace() (in module mdsage.automorphisms_modsym) inverse_gcd() (in module mdsage.modular_unit_divisors) is_independent() (mdsage.kamiennys_criterion.KamiennyCriterion method)

J

JG_torsion_upperbound() (in module mdsage.cuspidal_classgroup)

K

KamiennyCriterion (class in mdsage.kamiennys_criterion)

kernel_matrix() (in module mdsage.canonical_rings) kill_torsion_coprime_to_q() (in module mdsage.cuspidal_classgroup)

L

LB_c() (in module mdsage.modular_unit_divisors)

load_result_list() (in module mdsage.kamiennys_criterion)

M

matrix_modp() (in module mdsage.kamiennys_criterion) mdsage.automorphisms_modsym module mdsage.canonical_rings module mdsage.cuspidal_classgroup module mdsage.kamiennys_criterion module mdsage.maartens_sage_functions module mdsage.modular_degrees_oldforms module mdsage.modular_unit_divisors module mdsage.quadratic_class_numbers module mdsage.ramification module

min_formula() (in module mdsage.modular_unit_divisors) modsym_frobenius_polynomial() (in module mdsage.automorphisms_modsym) modsym_point_count() (in module mdsage.automorphisms_modsym) modular_symbol_elliptic_curves() (in module mdsage.modular_degrees_oldforms) modular_symbol_elliptic_curves_divisors() (in module mdsage.modular_degrees_oldforms) modular_symbol_elliptic_curves_range() (in module mdsage.modular_degrees_oldforms) modular_unit_lattice() (in module mdsage.maartens_sage_functions) modular_units_of_degree() (in module mdsage.maartens_sage_functions) module mdsage.automorphisms_modsym mdsage.canonical_rings mdsage.cuspidal_classgroup mdsage.kamiennys_criterion mdsage.maartens_sage_functions mdsage.modular_degrees_oldforms mdsage.modular_unit_divisors mdsage.quadratic_class_numbers mdsage.ramification

O

open_database() (in module mdsage.kamiennys_criterion)

P

period_mapping() (in module mdsage.maartens_sage_functions) Phi() (in module mdsage.modular_unit_divisors)

positive_part() (in module mdsage.maartens_sage_functions) product_isogeny_map() (in module mdsage.modular_degrees_oldforms)

Q

QuadraticForm_from_quadric() (in module mdsage.maartens_sage_functions)

R

rational_cuspidal_classgroup() (in module mdsage.maartens_sage_functions) rational_modular_unit_lattice() (in module mdsage.maartens_sage_functions)

run_criterion() (in module mdsage.kamiennys_criterion) run_criterion2() (in module mdsage.kamiennys_criterion) run_criterion3() (in module mdsage.kamiennys_criterion)

S

small_class_number_discriminants() (in module mdsage.quadratic_class_numbers) small_class_number_fundamental_discriminants() (in module mdsage.quadratic_class_numbers)

small_ramification() (in module mdsage.ramification) split_into_diamond_orbits() (in module mdsage.modular_unit_divisors) subhyperelliptic_primes() (in module mdsage.canonical_rings)

T

T (mdsage.kamiennys_criterion.KamiennyCriterion attribute) t() (mdsage.kamiennys_criterion.KamiennyCriterion method) t1() (mdsage.kamiennys_criterion.KamiennyCriterion method) t1_prime (mdsage.kamiennys_criterion.KamiennyCriterion attribute)

t2() (mdsage.kamiennys_criterion.KamiennyCriterion method) tate_normal_form() (in module mdsage.maartens_sage_functions) tdbdTi() (mdsage.kamiennys_criterion.KamiennyCriterion method) trigonal_or_plane_quintic_primes() (in module mdsage.canonical_rings)

U

unverified_primes_in_range() (in module mdsage.kamiennys_criterion)

upper_bound_index_cusps_in_JG_torsion() (in module mdsage.cuspidal_classgroup) upsilon() (in module mdsage.automorphisms_modsym)

V

V5_invariant_modular_symbols() (in module mdsage.automorphisms_modsym) V5_operator() (in module mdsage.automorphisms_modsym) vanishing_quadratic_forms() (in module mdsage.canonical_rings) verify_criterion() (mdsage.kamiennys_criterion.KamiennyCriterion method)

verify_criterion_range() (mdsage.kamiennys_criterion.KamiennyCriterion method) verify_gamma0() (mdsage.kamiennys_criterion.KamiennyCriterion method) verify_gamma1() (mdsage.kamiennys_criterion.KamiennyCriterion method) verify_result() (in module mdsage.kamiennys_criterion)