Index

B | C | D | F | G | I | L | M | N | O | P | Q | R | S | T | U | V

B

basis() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method)
(sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method)
(sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method)
basis_for_quaternion_lattice() (in module sage.algebras.quatalg.quaternion_algebra)
basis_matrix() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method)

C

coefficient_tuple() (sage.algebras.quatalg.quaternion_algebra_element.QuaternionAlgebraElement_abstract method)
(sage.algebras.quatalg.quaternion_algebra_element.QuaternionAlgebraElement_rational_field method)
conjugate() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method)
(sage.algebras.quatalg.quaternion_algebra_element.QuaternionAlgebraElement_abstract method)
(sage.algebras.quatalg.quaternion_algebra_element.QuaternionAlgebraElement_rational_field method)
create_key() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebraFactory method)
create_object() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebraFactory method)
cyclic_right_subideals() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method)

D

denominator() (sage.algebras.quatalg.quaternion_algebra_element.QuaternionAlgebraElement_rational_field method)
denominator_and_integer_coefficient_tuple() (sage.algebras.quatalg.quaternion_algebra_element.QuaternionAlgebraElement_rational_field method)
discriminant() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method)
(sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method)

F

free_module() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method)
(sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method)

G

gen() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method)
(sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method)
gens() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method)
(sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method)
gram_matrix() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method)

I

ideal() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method)
inner_product_matrix() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method)
(sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method)
integer_coefficient_tuple() (sage.algebras.quatalg.quaternion_algebra_element.QuaternionAlgebraElement_rational_field method)
intersection() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method)
(sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method)
intersection_of_row_modules_over_ZZ() (in module sage.algebras.quatalg.quaternion_algebra)
invariants() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method)
is_commutative() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method)
is_constant() (sage.algebras.quatalg.quaternion_algebra_element.QuaternionAlgebraElement_abstract method)
(sage.algebras.quatalg.quaternion_algebra_element.QuaternionAlgebraElement_rational_field method)
is_division_algebra() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method)
is_equivalent() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method)
is_exact() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method)
is_field() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method)
is_finite() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method)
is_integral_domain() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method)
is_matrix_ring() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method)
is_noetherian() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method)
is_QuaternionAlgebra() (in module sage.algebras.quatalg.quaternion_algebra)

L

left_ideal() (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method)
left_order() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method)

M

matrix() (sage.algebras.quatalg.quaternion_algebra_element.QuaternionAlgebraElement_abstract method)
maximal_order() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method)
maxord_solve_aux_eq() (in module sage.algebras.quatalg.quaternion_algebra)
modp_splitting_data() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method)
modp_splitting_map() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method)
multiply_by_conjugate() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method)

N

ngens() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method)
(sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method)
norm() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method)
normalize_basis_at_p() (in module sage.algebras.quatalg.quaternion_algebra)

O

order() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method)

P

pair() (sage.algebras.quatalg.quaternion_algebra_element.QuaternionAlgebraElement_abstract method)

Q

quadratic_form() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method)
(sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method)
quaternion_algebra() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method)
(sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method)
quaternion_order() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method)
(sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method)
QuaternionAlgebra_ab (class in sage.algebras.quatalg.quaternion_algebra)
QuaternionAlgebra_abstract (class in sage.algebras.quatalg.quaternion_algebra)
QuaternionAlgebraElement_abstract (class in sage.algebras.quatalg.quaternion_algebra_element)
QuaternionAlgebraElement_generic (class in sage.algebras.quatalg.quaternion_algebra_element)
QuaternionAlgebraElement_number_field (class in sage.algebras.quatalg.quaternion_algebra_element)
QuaternionAlgebraElement_rational_field (class in sage.algebras.quatalg.quaternion_algebra_element)
QuaternionAlgebraFactory (class in sage.algebras.quatalg.quaternion_algebra)
QuaternionFractionalIdeal (class in sage.algebras.quatalg.quaternion_algebra)
QuaternionFractionalIdeal_rational (class in sage.algebras.quatalg.quaternion_algebra)
QuaternionOrder (class in sage.algebras.quatalg.quaternion_algebra)

R

ramified_primes() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method)
random_element() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method)
(sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method)
reduced_characteristic_polynomial() (sage.algebras.quatalg.quaternion_algebra_element.QuaternionAlgebraElement_abstract method)
reduced_norm() (sage.algebras.quatalg.quaternion_algebra_element.QuaternionAlgebraElement_abstract method)
(sage.algebras.quatalg.quaternion_algebra_element.QuaternionAlgebraElement_rational_field method)
reduced_trace() (sage.algebras.quatalg.quaternion_algebra_element.QuaternionAlgebraElement_abstract method)
(sage.algebras.quatalg.quaternion_algebra_element.QuaternionAlgebraElement_rational_field method)
right_ideal() (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method)
right_order() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method)
ring() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method)

S

sage.algebras.quatalg.quaternion_algebra (module)
sage.algebras.quatalg.quaternion_algebra_element (module)
scale() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method)

T

ternary_quadratic_form() (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method)
theta_series() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method)
theta_series_vector() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method)

U

unit_ideal() (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method)
unpickle_QuaternionAlgebra_v0() (in module sage.algebras.quatalg.quaternion_algebra)
unpickle_QuaternionAlgebraElement_generic_v0() (in module sage.algebras.quatalg.quaternion_algebra_element)
unpickle_QuaternionAlgebraElement_number_field_v0() (in module sage.algebras.quatalg.quaternion_algebra_element)
unpickle_QuaternionAlgebraElement_rational_field_v0() (in module sage.algebras.quatalg.quaternion_algebra_element)

V

vector_space() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method)