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) (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder 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.QuaternionAlgebra_abstract method) (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.QuaternionAlgebra_ab 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_definite() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab 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() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) is_integral_domain() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method) is_isomorphic() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method) is_left_equivalent() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) is_matrix_ring() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method) is_maximal() (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method) is_noetherian() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method) is_primitive() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) is_principal() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) is_QuaternionAlgebra() (in module sage.algebras.quatalg.quaternion_algebra) is_right_equivalent() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) is_totally_definite() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method) isomorphism_to() (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method) 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) minimal_element() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) modp_splitting_data() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method) modp_splitting_map() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method) module sage.algebras.quatalg.quaternion_algebra sage.algebras.quatalg.quaternion_algebra_element 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 one() (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method) order() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method) order_with_level() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method) P pair() (sage.algebras.quatalg.quaternion_algebra_element.QuaternionAlgebraElement_abstract method) primitive_decomposition() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) pullback() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method) pushforward() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational 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) 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_places() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method) 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.QuaternionFractionalIdeal_rational method) (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method) reduced_basis() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational 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) 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)