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Sage 9.4 Reference Manual: Quaternion Algebras
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B
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C
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D
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F
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G
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I
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L
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M
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N
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O
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P
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Q
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R
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S
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T
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U
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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.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.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)
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
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)
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Sage 9.4 Reference Manual: Quaternion Algebras
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