Index

A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | V | W | X | Z

A

add_symmetric() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
adjoint() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
(sage.quadratic_forms.ternary_qf.TernaryQF method)
adjoint_primitive() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
anisotropic_primes() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
antiadjoint() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
automorphism_group() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
automorphism_spin_norm() (sage.quadratic_forms.ternary_qf.TernaryQF method)
automorphism_symmetries() (sage.quadratic_forms.ternary_qf.TernaryQF method)
automorphisms() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
(sage.quadratic_forms.ternary_qf.TernaryQF method)

B

base_change_to() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
base_ring() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
basic_lemma() (sage.quadratic_forms.ternary_qf.TernaryQF method)
basiclemma() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
basiclemmavec() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
basis_complement() (in module sage.quadratic_forms.genera.genus)
basis_of_short_vectors() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
BezoutianQuadraticForm() (in module sage.quadratic_forms.constructions)
bilinear_map() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
BinaryQF (class in sage.quadratic_forms.binary_qf)
BinaryQF_reduced_representatives() (in module sage.quadratic_forms.binary_qf)

C

canonical_2_adic_compartments() (in module sage.quadratic_forms.genera.genus)
canonical_2_adic_reduction() (in module sage.quadratic_forms.genera.genus)
canonical_2_adic_trains() (in module sage.quadratic_forms.genera.genus)
canonical_symbol() (sage.quadratic_forms.genera.genus.Genus_Symbol_p_adic_ring method)
cholesky_decomposition() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
clifford_conductor() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
clifford_invariant() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
coefficient() (sage.quadratic_forms.ternary_qf.TernaryQF method)
coefficients() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
(sage.quadratic_forms.ternary_qf.TernaryQF method)
compartments() (sage.quadratic_forms.genera.genus.Genus_Symbol_p_adic_ring method)
complementary_subform_to_vector() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
complex_point() (sage.quadratic_forms.binary_qf.BinaryQF method)
compute_definiteness() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
compute_definiteness_string_by_determinants() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
content() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
(sage.quadratic_forms.ternary_qf.TernaryQF method)
conway_cross_product_doubled_power() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
conway_diagonal_factor() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
conway_mass() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
conway_octane_of_this_unimodular_Jordan_block_at_2() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
conway_p_mass() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
conway_species_list_at_2() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
conway_species_list_at_odd_prime() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
conway_standard_mass() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
conway_standard_p_mass() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
conway_type_factor() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
count_congruence_solutions() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
count_congruence_solutions__bad_type() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
count_congruence_solutions__bad_type_I() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
count_congruence_solutions__bad_type_II() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
count_congruence_solutions__good_type() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
count_congruence_solutions__zero_type() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
count_congruence_solutions_as_vector() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
count_modp__by_gauss_sum() (in module sage.quadratic_forms.count_local_2)
count_modp_solutions__by_Gauss_sum() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
CountAllLocalTypesNaive() (in module sage.quadratic_forms.count_local_2)
CS_genus_symbol_list() (sage.quadratic_forms.quadratic_form.QuadraticForm method)

D

delta() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
(sage.quadratic_forms.ternary_qf.TernaryQF method)
det() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
determinant() (sage.quadratic_forms.genera.genus.Genus_Symbol_p_adic_ring method)
(sage.quadratic_forms.genera.genus.GenusSymbol_global_ring method)
DiagonalQuadraticForm() (in module sage.quadratic_forms.quadratic_form)
dim() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
dimension() (sage.quadratic_forms.genera.genus.Genus_Symbol_p_adic_ring method)
disc() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
(sage.quadratic_forms.ternary_qf.TernaryQF method)
discrec() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
discriminant() (sage.quadratic_forms.binary_qf.BinaryQF method)
divide_variable() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
divisor() (sage.quadratic_forms.ternary_qf.TernaryQF method)

E

elementary_substitution() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
evaluate() (in module sage.quadratic_forms.ternary)
excess() (sage.quadratic_forms.genera.genus.Genus_Symbol_p_adic_ring method)
extend() (in module sage.quadratic_forms.ternary)
extend_to_primitive() (in module sage.quadratic_forms.extras)
extract_sublist_indices() (in module sage.quadratic_forms.count_local_2)
extract_variables() (sage.quadratic_forms.quadratic_form.QuadraticForm method)

F

find_a_ternary_qf_by_level_disc() (in module sage.quadratic_forms.ternary_qf)
find_all_ternary_qf_by_level_disc() (in module sage.quadratic_forms.ternary_qf)
find_entry_with_minimal_scale_at_prime() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
find_p_neighbor_from_vec() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
(sage.quadratic_forms.ternary_qf.TernaryQF method)
find_p_neighbors() (sage.quadratic_forms.ternary_qf.TernaryQF method)
find_primitive_p_divisible_vector__next() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
find_primitive_p_divisible_vector__random() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
find_zeros_mod_p() (sage.quadratic_forms.ternary_qf.TernaryQF method)

G

gamma__exact() (in module sage.quadratic_forms.special_values)
gcd() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
Genus() (in module sage.quadratic_forms.genera.genus)
Genus_Symbol_p_adic_ring (class in sage.quadratic_forms.genera.genus)
GenusSymbol_global_ring (class in sage.quadratic_forms.genera.genus)
GHY_mass__maximal() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
global_genus_symbol() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
Gram_det() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
Gram_matrix() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
Gram_matrix_rational() (sage.quadratic_forms.quadratic_form.QuadraticForm method)

H

has_equivalent_Jordan_decomposition_at_prime() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
has_fundamental_discriminant() (sage.quadratic_forms.binary_qf.BinaryQF method)
has_integral_Gram_matrix() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
hasse_conductor() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
hasse_invariant() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
hasse_invariant__OMeara() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
Hessian_matrix() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
HyperbolicPlane_quadratic_form() (in module sage.quadratic_forms.constructions)

I

is_2_adic_genus() (in module sage.quadratic_forms.genera.genus)
is_adjoint() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
is_anisotropic() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
is_definite() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
(sage.quadratic_forms.ternary_qf.TernaryQF method)
is_eisenstein_reduced() (sage.quadratic_forms.ternary_qf.TernaryQF method)
is_equivalent() (sage.quadratic_forms.binary_qf.BinaryQF method)
is_even() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
is_even_matrix() (in module sage.quadratic_forms.genera.genus)
is_GlobalGenus() (in module sage.quadratic_forms.genera.genus)
is_globally_equivalent_to() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
is_hyperbolic() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
is_indefinite() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
is_isotropic() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
is_locally_equivalent_to() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
is_locally_represented_number() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
is_locally_represented_number_at_place() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
is_locally_universal_at_all_places() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
is_locally_universal_at_all_primes() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
is_locally_universal_at_prime() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
is_negative_definite() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
(sage.quadratic_forms.ternary_qf.TernaryQF method)
is_odd() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
is_positive_definite() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
(sage.quadratic_forms.ternary_qf.TernaryQF method)
is_primitive() (sage.quadratic_forms.binary_qf.BinaryQF method)
(sage.quadratic_forms.quadratic_form.QuadraticForm method)
(sage.quadratic_forms.ternary_qf.TernaryQF method)
is_QuadraticForm() (in module sage.quadratic_forms.quadratic_form)
is_rationally_isometric() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
is_reduced() (sage.quadratic_forms.binary_qf.BinaryQF method)
is_triangular_number() (in module sage.quadratic_forms.extras)
is_weakly_reduced() (sage.quadratic_forms.binary_qf.BinaryQF method)
is_zero() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
is_zero_nonsingular() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
is_zero_singular() (sage.quadratic_forms.quadratic_form.QuadraticForm method)

J

jordan_blocks_by_scale_and_unimodular() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
jordan_blocks_in_unimodular_list_by_scale_power() (sage.quadratic_forms.quadratic_form.QuadraticForm method)

K

Kitaoka_mass_at_2() (sage.quadratic_forms.quadratic_form.QuadraticForm method)

L

least_quadratic_nonresidue() (in module sage.quadratic_forms.extras)
level() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
(sage.quadratic_forms.ternary_qf.TernaryQF method)
level__Tornaria() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
level_ideal() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
list_external_initializations() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
lll() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
local_bad_density_congruence() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
local_badI_density_congruence() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
local_badII_density_congruence() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
local_density() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
local_density_congruence() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
local_genus_symbol() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
local_good_density_congruence() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
local_good_density_congruence_even() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
local_good_density_congruence_odd() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
local_normal_form() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
local_primitive_density() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
local_primitive_density_congruence() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
local_representation_conditions() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
local_zero_density_congruence() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
LocalGenusSymbol() (in module sage.quadratic_forms.genera.genus)

M

mass__by_Siegel_densities() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
mass_at_two_by_counting_mod_power() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
matrix() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
(sage.quadratic_forms.ternary_qf.TernaryQF method)
matrix_action_left() (sage.quadratic_forms.binary_qf.BinaryQF method)
matrix_action_right() (sage.quadratic_forms.binary_qf.BinaryQF method)
minkowski_reduction() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
minkowski_reduction_for_4vars__SP() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
multiply_variable() (sage.quadratic_forms.quadratic_form.QuadraticForm method)

N

number_of_automorphisms() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
(sage.quadratic_forms.ternary_qf.TernaryQF method)
number_of_blocks() (sage.quadratic_forms.genera.genus.Genus_Symbol_p_adic_ring method)

O

omega() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
(sage.quadratic_forms.ternary_qf.TernaryQF method)

P

p_adic_symbol() (in module sage.quadratic_forms.genera.genus)
Pall_mass_density_at_odd_prime() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
parity() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
polynomial() (sage.quadratic_forms.binary_qf.BinaryQF method)
(sage.quadratic_forms.quadratic_form.QuadraticForm method)
(sage.quadratic_forms.ternary_qf.TernaryQF method)
primitive() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
(sage.quadratic_forms.ternary_qf.TernaryQF method)
primitivize() (in module sage.quadratic_forms.ternary)
pseudorandom_primitive_zero_mod_p() (in module sage.quadratic_forms.ternary)
(sage.quadratic_forms.ternary_qf.TernaryQF method)

Q

QFEvaluateMatrix() (in module sage.quadratic_forms.quadratic_form__evaluate)
QFEvaluateVector() (in module sage.quadratic_forms.quadratic_form__evaluate)
qfparam() (in module sage.quadratic_forms.qfsolve)
qfsolve() (in module sage.quadratic_forms.qfsolve)
quadratic_form() (sage.quadratic_forms.ternary_qf.TernaryQF method)
quadratic_L_function__exact() (in module sage.quadratic_forms.special_values)
quadratic_L_function__numerical() (in module sage.quadratic_forms.special_values)
QuadraticBernoulliNumber() (in module sage.quadratic_forms.special_values)
QuadraticForm (class in sage.quadratic_forms.quadratic_form)
QuadraticForm__constructor() (in module sage.quadratic_forms.quadratic_form)

R

random_quadraticform() (in module sage.quadratic_forms.random_quadraticform)
random_quadraticform_with_conditions() (in module sage.quadratic_forms.random_quadraticform)
random_ternaryqf() (in module sage.quadratic_forms.random_quadraticform)
random_ternaryqf_with_conditions() (in module sage.quadratic_forms.random_quadraticform)
rank() (sage.quadratic_forms.genera.genus.Genus_Symbol_p_adic_ring method)
rational_diagonal_form() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
reciprocal() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
(sage.quadratic_forms.ternary_qf.TernaryQF method)
reciprocal_reduced() (sage.quadratic_forms.ternary_qf.TernaryQF method)
red_mfact() (in module sage.quadratic_forms.ternary)
reduced_binary_form() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
reduced_binary_form1() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
reduced_form() (sage.quadratic_forms.binary_qf.BinaryQF method)
reduced_form_eisenstein() (sage.quadratic_forms.ternary_qf.TernaryQF method)
reduced_ternary_form__Dickson() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
representation_number_list() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
representation_vector_list() (sage.quadratic_forms.quadratic_form.QuadraticForm method)

S

sage.quadratic_forms.binary_qf (module)
sage.quadratic_forms.constructions (module)
sage.quadratic_forms.count_local_2 (module)
sage.quadratic_forms.extras (module)
sage.quadratic_forms.genera.genus (module)
sage.quadratic_forms.qfsolve (module)
sage.quadratic_forms.quadratic_form (module)
sage.quadratic_forms.quadratic_form__evaluate (module)
sage.quadratic_forms.random_quadraticform (module)
sage.quadratic_forms.special_values (module)
sage.quadratic_forms.ternary (module)
sage.quadratic_forms.ternary_qf (module)
scale_by_factor() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
(sage.quadratic_forms.ternary_qf.TernaryQF method)
set_number_of_automorphisms() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
shimura_mass__maximal() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
short_primitive_vector_list_up_to_length() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
short_vector_list_up_to_length() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
siegel_product() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
signature() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
signature_pair_of_matrix() (in module sage.quadratic_forms.genera.genus)
(sage.quadratic_forms.genera.genus.GenusSymbol_global_ring method)
signature_vector() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
small_prime_value() (sage.quadratic_forms.binary_qf.BinaryQF method)
solve() (in module sage.quadratic_forms.qfsolve)
(sage.quadratic_forms.quadratic_form.QuadraticForm method)
solve_integer() (sage.quadratic_forms.binary_qf.BinaryQF method)
split_local_cover() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
split_odd() (in module sage.quadratic_forms.genera.genus)
sum_by_coefficients_with() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
swap_variables() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
symbol_tuple_list() (sage.quadratic_forms.genera.genus.Genus_Symbol_p_adic_ring method)
symmetry() (sage.quadratic_forms.ternary_qf.TernaryQF method)

T

TernaryQF (class in sage.quadratic_forms.ternary_qf)
theta_by_cholesky() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
theta_by_pari() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
theta_series() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
theta_series_degree_2() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
trace_diag_mod_8() (in module sage.quadratic_forms.genera.genus)
trains() (sage.quadratic_forms.genera.genus.Genus_Symbol_p_adic_ring method)
two_adic_symbol() (in module sage.quadratic_forms.genera.genus)

V

vectors_by_length() (sage.quadratic_forms.quadratic_form.QuadraticForm method)

W

Watson_mass_at_2() (sage.quadratic_forms.quadratic_form.QuadraticForm method)

X

xi() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
(sage.quadratic_forms.ternary_qf.TernaryQF method)
xi_rec() (sage.quadratic_forms.quadratic_form.QuadraticForm method)
(sage.quadratic_forms.ternary_qf.TernaryQF method)

Z

zeta__exact() (in module sage.quadratic_forms.special_values)