Index – I ideal() (sage.rings.number_field.class_group.FractionalIdealClass method) (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.number_field.order.Order method) ideal_below() (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) ideal_class_log() (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) idealchinese() (sage.rings.number_field.number_field.NumberField_generic method) idealcoprime() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) ideallog() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) ideals_of_bdd_norm() (sage.rings.number_field.number_field.NumberField_generic method) idealstar() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) im_gens() (sage.rings.number_field.morphism.RelativeNumberFieldHomomorphism_from_abs method) imag() (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) imag_part() (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_gaussian method) (sage.rings.universal_cyclotomic_field.UniversalCyclotomicFieldElement method) incr() (sage.rings.number_field.totallyreal_rel.tr_data_rel method) increment() (sage.rings.number_field.totallyreal_data.tr_data method) index_in() (sage.rings.number_field.order.Order_absolute method) (sage.rings.number_field.order.Order_relative method) inertia_group() (sage.rings.number_field.galois_group.GaloisGroup_v2 method) (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) int_has_small_square_divisor() (in module sage.rings.number_field.totallyreal_data) integer_points_in_polytope() (in module sage.rings.number_field.bdd_height) integral_basis() (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) integral_closure() (sage.rings.number_field.order.Order method) integral_elements_in_box() (in module sage.rings.number_field.totallyreal_rel) integral_split() (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) intersection() (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.order.Order_absolute method) interval() (sage.rings.qqbar.AlgebraicNumber_base method) interval_diameter() (sage.rings.qqbar.AlgebraicNumber_base method) interval_exact() (sage.rings.qqbar.AlgebraicNumber method) (sage.rings.qqbar.AlgebraicReal method) interval_fast() (sage.rings.qqbar.AlgebraicNumber_base method) inverse() (sage.rings.number_field.class_group.FractionalIdealClass method) (sage.rings.universal_cyclotomic_field.UniversalCyclotomicFieldElement method) inverse_mod() (sage.rings.number_field.number_field_element.NumberFieldElement method) (sage.rings.number_field.number_field_element.OrderElement_absolute method) (sage.rings.number_field.number_field_element.OrderElement_relative method) (sage.rings.number_field.number_field_element_quadratic.OrderElement_quadratic method) invert() (sage.rings.qqbar.ANDescr method) (sage.rings.qqbar.ANExtensionElement method) (sage.rings.qqbar.ANRational method) invertible_residues() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) invertible_residues_mod() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) is_abelian() (sage.rings.number_field.number_field.NumberField_cyclotomic method) (sage.rings.number_field.number_field.NumberField_generic method) is_absolute() (sage.rings.number_field.number_field.NumberField_absolute method) (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.number_field.number_field_base.NumberField method) (sage.rings.number_field.number_field_rel.NumberField_relative method) is_AbsoluteNumberField() (in module sage.rings.number_field.number_field) is_AlgebraicField() (in module sage.rings.qqbar) is_AlgebraicField_common() (in module sage.rings.qqbar) is_AlgebraicNumber() (in module sage.rings.qqbar) is_AlgebraicReal() (in module sage.rings.qqbar) is_AlgebraicRealField() (in module sage.rings.qqbar) is_CM() (sage.rings.number_field.number_field.NumberField_generic method) is_CM_extension() (sage.rings.number_field.number_field_rel.NumberField_relative method) is_complex() (sage.rings.qqbar.AlgebraicGenerator method) (sage.rings.qqbar.AlgebraicPolynomialTracker method) (sage.rings.qqbar.ANBinaryExpr method) (sage.rings.qqbar.ANExtensionElement method) (sage.rings.qqbar.ANRational method) (sage.rings.qqbar.ANRoot method) (sage.rings.qqbar.ANUnaryExpr method) is_coprime() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) is_CyclotomicField() (in module sage.rings.number_field.number_field) is_exact() (sage.rings.universal_cyclotomic_field.UniversalCyclotomicField method) is_field() (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.number_field.order.Order method) is_free() (sage.rings.number_field.number_field_rel.NumberField_relative method) is_fundamental_discriminant() (in module sage.rings.number_field.number_field) is_galois() (sage.rings.number_field.galois_group.GaloisGroup_v2 method) (sage.rings.number_field.number_field.NumberField_cyclotomic method) (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.number_field.number_field.NumberField_quadratic method) (sage.rings.number_field.number_field_rel.NumberField_relative method) is_galois_absolute() (sage.rings.number_field.number_field_rel.NumberField_relative method) is_galois_relative() (sage.rings.number_field.number_field_rel.NumberField_relative method) is_injective() (sage.rings.number_field.maps.NumberFieldIsomorphism method) is_integer() (sage.rings.number_field.number_field_element.NumberFieldElement method) (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_quadratic method) (sage.rings.qqbar.AlgebraicNumber_base method) is_integral() (sage.rings.number_field.number_field_element.NumberFieldElement method) (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_quadratic method) (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) (sage.rings.universal_cyclotomic_field.UniversalCyclotomicFieldElement method) is_integrally_closed() (sage.rings.number_field.order.Order method) is_isomorphic() (sage.rings.number_field.number_field.NumberField_cyclotomic method) (sage.rings.number_field.number_field.NumberField_generic method) is_isomorphic_relative() (sage.rings.number_field.number_field_rel.NumberField_relative method) is_maximal() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.order.Order_absolute method) (sage.rings.number_field.order.Order_relative method) is_noetherian() (sage.rings.number_field.order.Order method) is_norm() (sage.rings.number_field.number_field_element.NumberFieldElement method) is_nth_power() (sage.rings.number_field.number_field_element.NumberFieldElement method) is_NumberField() (in module sage.rings.number_field.number_field_base) is_NumberFieldElement() (in module sage.rings.number_field.number_field_element) is_NumberFieldFractionalIdeal() (in module sage.rings.number_field.number_field_ideal) is_NumberFieldFractionalIdeal_rel() (in module sage.rings.number_field.number_field_ideal_rel) is_NumberFieldHomsetCodomain() (in module sage.rings.number_field.number_field) is_NumberFieldIdeal() (in module sage.rings.number_field.number_field_ideal) is_NumberFieldOrder() (in module sage.rings.number_field.order) is_one() (sage.rings.number_field.number_field_element.NumberFieldElement method) (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_quadratic method) is_padic_square() (sage.rings.number_field.number_field_element.NumberFieldElement method) is_prime() (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) is_principal() (sage.rings.number_field.class_group.FractionalIdealClass method) (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) is_QuadraticField() (in module sage.rings.number_field.number_field) is_rational() (sage.rings.number_field.number_field_element.NumberFieldElement method) (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_quadratic method) (sage.rings.universal_cyclotomic_field.UniversalCyclotomicFieldElement method) is_real() (sage.rings.universal_cyclotomic_field.UniversalCyclotomicFieldElement method) is_real_place() (in module sage.rings.number_field.number_field) is_real_positive() (sage.rings.number_field.number_field_element.NumberFieldElement_absolute method) is_relative() (sage.rings.number_field.number_field.NumberField_generic method) is_RelativeNumberField() (in module sage.rings.number_field.number_field_rel) is_S_integral() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) is_S_unit() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) is_simple() (sage.rings.qqbar.ANDescr method) (sage.rings.qqbar.ANExtensionElement method) (sage.rings.qqbar.ANRational method) is_sqrt_disc() (in module sage.rings.number_field.number_field_element_quadratic) is_square() (sage.rings.number_field.number_field_element.NumberFieldElement method) (sage.rings.qqbar.AlgebraicNumber_base method) (sage.rings.universal_cyclotomic_field.UniversalCyclotomicFieldElement method) is_suborder() (sage.rings.number_field.order.Order method) (sage.rings.number_field.order.Order_relative method) is_surjective() (sage.rings.number_field.maps.NumberFieldIsomorphism method) is_totally_imaginary() (sage.rings.number_field.number_field.NumberField_generic method) is_totally_positive() (sage.rings.number_field.number_field_element.NumberFieldElement method) is_totally_real() (sage.rings.number_field.number_field.NumberField_generic method) is_trivial() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) (sage.rings.qqbar.AlgebraicGenerator method) is_unit() (sage.rings.number_field.number_field_element.NumberFieldElement method) is_zero() (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) isolating_interval() (in module sage.rings.qqbar)
Index – I ideal() (sage.rings.number_field.class_group.FractionalIdealClass method) (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.number_field.order.Order method) ideal_below() (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) ideal_class_log() (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) idealchinese() (sage.rings.number_field.number_field.NumberField_generic method) idealcoprime() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) ideallog() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) ideals_of_bdd_norm() (sage.rings.number_field.number_field.NumberField_generic method) idealstar() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) im_gens() (sage.rings.number_field.morphism.RelativeNumberFieldHomomorphism_from_abs method) imag() (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) imag_part() (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_gaussian method) (sage.rings.universal_cyclotomic_field.UniversalCyclotomicFieldElement method) incr() (sage.rings.number_field.totallyreal_rel.tr_data_rel method) increment() (sage.rings.number_field.totallyreal_data.tr_data method) index_in() (sage.rings.number_field.order.Order_absolute method) (sage.rings.number_field.order.Order_relative method) inertia_group() (sage.rings.number_field.galois_group.GaloisGroup_v2 method) (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) int_has_small_square_divisor() (in module sage.rings.number_field.totallyreal_data) integer_points_in_polytope() (in module sage.rings.number_field.bdd_height) integral_basis() (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) integral_closure() (sage.rings.number_field.order.Order method) integral_elements_in_box() (in module sage.rings.number_field.totallyreal_rel) integral_split() (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) intersection() (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.order.Order_absolute method) interval() (sage.rings.qqbar.AlgebraicNumber_base method) interval_diameter() (sage.rings.qqbar.AlgebraicNumber_base method) interval_exact() (sage.rings.qqbar.AlgebraicNumber method) (sage.rings.qqbar.AlgebraicReal method) interval_fast() (sage.rings.qqbar.AlgebraicNumber_base method) inverse() (sage.rings.number_field.class_group.FractionalIdealClass method) (sage.rings.universal_cyclotomic_field.UniversalCyclotomicFieldElement method) inverse_mod() (sage.rings.number_field.number_field_element.NumberFieldElement method) (sage.rings.number_field.number_field_element.OrderElement_absolute method) (sage.rings.number_field.number_field_element.OrderElement_relative method) (sage.rings.number_field.number_field_element_quadratic.OrderElement_quadratic method) invert() (sage.rings.qqbar.ANDescr method) (sage.rings.qqbar.ANExtensionElement method) (sage.rings.qqbar.ANRational method) invertible_residues() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) invertible_residues_mod() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) is_abelian() (sage.rings.number_field.number_field.NumberField_cyclotomic method) (sage.rings.number_field.number_field.NumberField_generic method) is_absolute() (sage.rings.number_field.number_field.NumberField_absolute method) (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.number_field.number_field_base.NumberField method) (sage.rings.number_field.number_field_rel.NumberField_relative method) is_AbsoluteNumberField() (in module sage.rings.number_field.number_field) is_AlgebraicField() (in module sage.rings.qqbar) is_AlgebraicField_common() (in module sage.rings.qqbar) is_AlgebraicNumber() (in module sage.rings.qqbar) is_AlgebraicReal() (in module sage.rings.qqbar) is_AlgebraicRealField() (in module sage.rings.qqbar) is_CM() (sage.rings.number_field.number_field.NumberField_generic method) is_CM_extension() (sage.rings.number_field.number_field_rel.NumberField_relative method) is_complex() (sage.rings.qqbar.AlgebraicGenerator method) (sage.rings.qqbar.AlgebraicPolynomialTracker method) (sage.rings.qqbar.ANBinaryExpr method) (sage.rings.qqbar.ANExtensionElement method) (sage.rings.qqbar.ANRational method) (sage.rings.qqbar.ANRoot method) (sage.rings.qqbar.ANUnaryExpr method) is_coprime() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) is_CyclotomicField() (in module sage.rings.number_field.number_field) is_exact() (sage.rings.universal_cyclotomic_field.UniversalCyclotomicField method) is_field() (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.number_field.order.Order method) is_free() (sage.rings.number_field.number_field_rel.NumberField_relative method) is_fundamental_discriminant() (in module sage.rings.number_field.number_field) is_galois() (sage.rings.number_field.galois_group.GaloisGroup_v2 method) (sage.rings.number_field.number_field.NumberField_cyclotomic method) (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.number_field.number_field.NumberField_quadratic method) (sage.rings.number_field.number_field_rel.NumberField_relative method) is_galois_absolute() (sage.rings.number_field.number_field_rel.NumberField_relative method) is_galois_relative() (sage.rings.number_field.number_field_rel.NumberField_relative method) is_injective() (sage.rings.number_field.maps.NumberFieldIsomorphism method) is_integer() (sage.rings.number_field.number_field_element.NumberFieldElement method) (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_quadratic method) (sage.rings.qqbar.AlgebraicNumber_base method) is_integral() (sage.rings.number_field.number_field_element.NumberFieldElement method) (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_quadratic method) (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) (sage.rings.universal_cyclotomic_field.UniversalCyclotomicFieldElement method) is_integrally_closed() (sage.rings.number_field.order.Order method) is_isomorphic() (sage.rings.number_field.number_field.NumberField_cyclotomic method) (sage.rings.number_field.number_field.NumberField_generic method) is_isomorphic_relative() (sage.rings.number_field.number_field_rel.NumberField_relative method) is_maximal() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.order.Order_absolute method) (sage.rings.number_field.order.Order_relative method) is_noetherian() (sage.rings.number_field.order.Order method) is_norm() (sage.rings.number_field.number_field_element.NumberFieldElement method) is_nth_power() (sage.rings.number_field.number_field_element.NumberFieldElement method) is_NumberField() (in module sage.rings.number_field.number_field_base) is_NumberFieldElement() (in module sage.rings.number_field.number_field_element) is_NumberFieldFractionalIdeal() (in module sage.rings.number_field.number_field_ideal) is_NumberFieldFractionalIdeal_rel() (in module sage.rings.number_field.number_field_ideal_rel) is_NumberFieldHomsetCodomain() (in module sage.rings.number_field.number_field) is_NumberFieldIdeal() (in module sage.rings.number_field.number_field_ideal) is_NumberFieldOrder() (in module sage.rings.number_field.order) is_one() (sage.rings.number_field.number_field_element.NumberFieldElement method) (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_quadratic method) is_padic_square() (sage.rings.number_field.number_field_element.NumberFieldElement method) is_prime() (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) is_principal() (sage.rings.number_field.class_group.FractionalIdealClass method) (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) is_QuadraticField() (in module sage.rings.number_field.number_field) is_rational() (sage.rings.number_field.number_field_element.NumberFieldElement method) (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_quadratic method) (sage.rings.universal_cyclotomic_field.UniversalCyclotomicFieldElement method) is_real() (sage.rings.universal_cyclotomic_field.UniversalCyclotomicFieldElement method) is_real_place() (in module sage.rings.number_field.number_field) is_real_positive() (sage.rings.number_field.number_field_element.NumberFieldElement_absolute method) is_relative() (sage.rings.number_field.number_field.NumberField_generic method) is_RelativeNumberField() (in module sage.rings.number_field.number_field_rel) is_S_integral() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) is_S_unit() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) is_simple() (sage.rings.qqbar.ANDescr method) (sage.rings.qqbar.ANExtensionElement method) (sage.rings.qqbar.ANRational method) is_sqrt_disc() (in module sage.rings.number_field.number_field_element_quadratic) is_square() (sage.rings.number_field.number_field_element.NumberFieldElement method) (sage.rings.qqbar.AlgebraicNumber_base method) (sage.rings.universal_cyclotomic_field.UniversalCyclotomicFieldElement method) is_suborder() (sage.rings.number_field.order.Order method) (sage.rings.number_field.order.Order_relative method) is_surjective() (sage.rings.number_field.maps.NumberFieldIsomorphism method) is_totally_imaginary() (sage.rings.number_field.number_field.NumberField_generic method) is_totally_positive() (sage.rings.number_field.number_field_element.NumberFieldElement method) is_totally_real() (sage.rings.number_field.number_field.NumberField_generic method) is_trivial() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) (sage.rings.qqbar.AlgebraicGenerator method) is_unit() (sage.rings.number_field.number_field_element.NumberFieldElement method) is_zero() (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) isolating_interval() (in module sage.rings.qqbar)