Index – R radical_expression() (sage.rings.qqbar.AlgebraicNumber_base method) ramification_breaks() (sage.rings.number_field.galois_group.GaloisGroup_v2 method) ramification_degree() (sage.rings.number_field.galois_group.GaloisGroupElement method) ramification_group() (sage.rings.number_field.galois_group.GaloisGroup_v2 method) (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) ramification_index() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) random_element() (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.order.Order method) (sage.rings.qqbar.AlgebraicField method) (sage.rings.qqbar.AlgebraicRealField method) rank() (sage.rings.number_field.order.Order method) (sage.rings.number_field.unit_group.UnitGroup method) rational_argument() (sage.rings.qqbar.AlgebraicNumber method) (sage.rings.qqbar.ANExtensionElement method) (sage.rings.qqbar.ANRational method) rational_exact_root() (in module sage.rings.qqbar) ray_class_number() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) real() (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_gaussian method) (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_quadratic method) (sage.rings.qqbar.AlgebraicNumber method) (sage.rings.qqbar.AlgebraicReal method) (sage.rings.qqbar.ANDescr method) (sage.rings.universal_cyclotomic_field.UniversalCyclotomicFieldElement method) real_embeddings() (sage.rings.number_field.number_field.NumberField_cyclotomic method) (sage.rings.number_field.number_field.NumberField_generic method) real_exact() (sage.rings.qqbar.AlgebraicReal method) real_number() (sage.rings.qqbar.AlgebraicReal method) real_part() (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_gaussian method) (sage.rings.universal_cyclotomic_field.UniversalCyclotomicFieldElement method) real_places() (sage.rings.number_field.number_field.NumberField_absolute method) reduce() (sage.rings.number_field.class_group.FractionalIdealClass method) (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) reduce_data() (sage.rings.number_field.order.AbsoluteOrderFactory method) reduce_equiv() (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) reduced_basis() (sage.rings.number_field.number_field.NumberField_generic method) reduced_gram_matrix() (sage.rings.number_field.number_field.NumberField_generic method) reduction_step_complex_case() (in module sage.rings.number_field.S_unit_solver) refine_embedding() (in module sage.rings.number_field.number_field) refine_interval() (sage.rings.qqbar.ANRoot method) regulator() (sage.rings.number_field.number_field.NumberField_generic method) relative_degree() (sage.rings.number_field.number_field.NumberField_absolute method) (sage.rings.number_field.number_field_rel.NumberField_relative method) relative_different() (sage.rings.number_field.number_field.NumberField_absolute method) (sage.rings.number_field.number_field_rel.NumberField_relative method) relative_discriminant() (sage.rings.number_field.number_field.NumberField_absolute method) (sage.rings.number_field.number_field_rel.NumberField_relative method) relative_norm() (sage.rings.number_field.number_field_element.NumberFieldElement method) (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) relative_order_from_ring_generators() (in module sage.rings.number_field.order) relative_polynomial() (sage.rings.number_field.number_field.NumberField_absolute method) (sage.rings.number_field.number_field_rel.NumberField_relative method) relative_ramification_index() (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) relative_vector_space() (sage.rings.number_field.number_field.NumberField_absolute method) (sage.rings.number_field.number_field_rel.NumberField_relative method) RelativeFromAbsolute (class in sage.rings.number_field.structure) RelativeFromRelative (class in sage.rings.number_field.structure) RelativeNumberFieldHomomorphism_from_abs (class in sage.rings.number_field.morphism) RelativeNumberFieldHomset (class in sage.rings.number_field.homset) RelativeOrderFactory (class in sage.rings.number_field.order) relativize() (sage.rings.number_field.number_field.NumberField_absolute method) (sage.rings.number_field.number_field_rel.NumberField_relative method) representative_prime() (sage.rings.number_field.class_group.FractionalIdealClass method) residue_class_degree() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) residue_field() (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) (sage.rings.number_field.order.Order method) residue_symbol() (sage.rings.number_field.number_field_element.NumberFieldElement method) (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) residues() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) ring_generators() (sage.rings.number_field.order.Order method) ring_of_integers() (sage.rings.number_field.number_field_base.NumberField method) root_as_algebraic() (sage.rings.qqbar.AlgebraicGenerator method) root_from_approx() (in module sage.rings.number_field.number_field_morphisms) roots_of_unity() (sage.rings.number_field.number_field.NumberField_cyclotomic method) (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.number_field.number_field_rel.NumberField_relative method) (sage.rings.number_field.unit_group.UnitGroup method) round() (sage.rings.number_field.number_field_element.NumberFieldElement method) (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_quadratic method) (sage.rings.qqbar.AlgebraicReal method)
Index – R radical_expression() (sage.rings.qqbar.AlgebraicNumber_base method) ramification_breaks() (sage.rings.number_field.galois_group.GaloisGroup_v2 method) ramification_degree() (sage.rings.number_field.galois_group.GaloisGroupElement method) ramification_group() (sage.rings.number_field.galois_group.GaloisGroup_v2 method) (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) ramification_index() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) random_element() (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.order.Order method) (sage.rings.qqbar.AlgebraicField method) (sage.rings.qqbar.AlgebraicRealField method) rank() (sage.rings.number_field.order.Order method) (sage.rings.number_field.unit_group.UnitGroup method) rational_argument() (sage.rings.qqbar.AlgebraicNumber method) (sage.rings.qqbar.ANExtensionElement method) (sage.rings.qqbar.ANRational method) rational_exact_root() (in module sage.rings.qqbar) ray_class_number() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) real() (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_gaussian method) (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_quadratic method) (sage.rings.qqbar.AlgebraicNumber method) (sage.rings.qqbar.AlgebraicReal method) (sage.rings.qqbar.ANDescr method) (sage.rings.universal_cyclotomic_field.UniversalCyclotomicFieldElement method) real_embeddings() (sage.rings.number_field.number_field.NumberField_cyclotomic method) (sage.rings.number_field.number_field.NumberField_generic method) real_exact() (sage.rings.qqbar.AlgebraicReal method) real_number() (sage.rings.qqbar.AlgebraicReal method) real_part() (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_gaussian method) (sage.rings.universal_cyclotomic_field.UniversalCyclotomicFieldElement method) real_places() (sage.rings.number_field.number_field.NumberField_absolute method) reduce() (sage.rings.number_field.class_group.FractionalIdealClass method) (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) reduce_data() (sage.rings.number_field.order.AbsoluteOrderFactory method) reduce_equiv() (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) reduced_basis() (sage.rings.number_field.number_field.NumberField_generic method) reduced_gram_matrix() (sage.rings.number_field.number_field.NumberField_generic method) reduction_step_complex_case() (in module sage.rings.number_field.S_unit_solver) refine_embedding() (in module sage.rings.number_field.number_field) refine_interval() (sage.rings.qqbar.ANRoot method) regulator() (sage.rings.number_field.number_field.NumberField_generic method) relative_degree() (sage.rings.number_field.number_field.NumberField_absolute method) (sage.rings.number_field.number_field_rel.NumberField_relative method) relative_different() (sage.rings.number_field.number_field.NumberField_absolute method) (sage.rings.number_field.number_field_rel.NumberField_relative method) relative_discriminant() (sage.rings.number_field.number_field.NumberField_absolute method) (sage.rings.number_field.number_field_rel.NumberField_relative method) relative_norm() (sage.rings.number_field.number_field_element.NumberFieldElement method) (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) relative_order_from_ring_generators() (in module sage.rings.number_field.order) relative_polynomial() (sage.rings.number_field.number_field.NumberField_absolute method) (sage.rings.number_field.number_field_rel.NumberField_relative method) relative_ramification_index() (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) relative_vector_space() (sage.rings.number_field.number_field.NumberField_absolute method) (sage.rings.number_field.number_field_rel.NumberField_relative method) RelativeFromAbsolute (class in sage.rings.number_field.structure) RelativeFromRelative (class in sage.rings.number_field.structure) RelativeNumberFieldHomomorphism_from_abs (class in sage.rings.number_field.morphism) RelativeNumberFieldHomset (class in sage.rings.number_field.homset) RelativeOrderFactory (class in sage.rings.number_field.order) relativize() (sage.rings.number_field.number_field.NumberField_absolute method) (sage.rings.number_field.number_field_rel.NumberField_relative method) representative_prime() (sage.rings.number_field.class_group.FractionalIdealClass method) residue_class_degree() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) residue_field() (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) (sage.rings.number_field.order.Order method) residue_symbol() (sage.rings.number_field.number_field_element.NumberFieldElement method) (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) residues() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) ring_generators() (sage.rings.number_field.order.Order method) ring_of_integers() (sage.rings.number_field.number_field_base.NumberField method) root_as_algebraic() (sage.rings.qqbar.AlgebraicGenerator method) root_from_approx() (in module sage.rings.number_field.number_field_morphisms) roots_of_unity() (sage.rings.number_field.number_field.NumberField_cyclotomic method) (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.number_field.number_field_rel.NumberField_relative method) (sage.rings.number_field.unit_group.UnitGroup method) round() (sage.rings.number_field.number_field_element.NumberFieldElement method) (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_quadratic method) (sage.rings.qqbar.AlgebraicReal method)