Index B | C | D | E | F | G | H | I | L | M | N | O | P | R | S | T | V | W | Z B base_field() (sage.rings.function_field.function_field.FunctionField_polymod method) (sage.rings.function_field.function_field.RationalFunctionField method) base_ring() (sage.rings.function_field.ideal.FunctionFieldIdeal method) basis() (sage.rings.function_field.differential.DifferentialsSpace method) (sage.rings.function_field.order.FunctionFieldMaximalOrder_polymod method) (sage.rings.function_field.order.FunctionFieldMaximalOrder_rational method) (sage.rings.function_field.order.FunctionFieldMaximalOrderInfinite_polymod method) (sage.rings.function_field.order.FunctionFieldMaximalOrderInfinite_rational method) (sage.rings.function_field.order.FunctionFieldOrder_basis method) (sage.rings.function_field.order.FunctionFieldOrderInfinite_basis method) basis_differential_space() (sage.rings.function_field.divisor.FunctionFieldDivisor method) basis_function_space() (sage.rings.function_field.divisor.FunctionFieldDivisor method) basis_matrix() (sage.rings.function_field.ideal.FunctionFieldIdeal_polymod method) basis_of_differentials_of_first_kind() (sage.rings.function_field.function_field.FunctionField method) basis_of_holomorphic_differentials() (sage.rings.function_field.function_field.FunctionField method) C cartier() (sage.rings.function_field.differential.FunctionFieldDifferential_global method) change_variable_name() (sage.rings.function_field.function_field.FunctionField_polymod method) (sage.rings.function_field.function_field.RationalFunctionField method) characteristic() (sage.rings.function_field.function_field.FunctionField method) characteristic_polynomial() (sage.rings.function_field.element.FunctionFieldElement method) charpoly() (sage.rings.function_field.element.FunctionFieldElement method) codifferent() (sage.rings.function_field.order.FunctionFieldMaximalOrder_polymod method) codomain() (sage.rings.function_field.maps.MapVectorSpaceToFunctionField method) completion() (sage.rings.function_field.function_field.FunctionField method) conorm_divisor() (sage.rings.function_field.extensions.ConstantFieldExtension method) conorm_place() (sage.rings.function_field.extensions.ConstantFieldExtension method) constant_base_field() (sage.rings.function_field.function_field.FunctionField_polymod method) (sage.rings.function_field.function_field.RationalFunctionField method) constant_field() (sage.rings.function_field.function_field.FunctionField_polymod method) (sage.rings.function_field.function_field.FunctionField_simple method) (sage.rings.function_field.function_field.RationalFunctionField method) ConstantFieldExtension (class in sage.rings.function_field.extensions) coordinate_vector() (sage.rings.function_field.order.FunctionFieldMaximalOrder_polymod method) (sage.rings.function_field.order.FunctionFieldMaximalOrderInfinite_polymod method) (sage.rings.function_field.order.FunctionFieldOrder_basis method) create_key() (sage.rings.function_field.constructor.FunctionFieldExtensionFactory method) (sage.rings.function_field.constructor.FunctionFieldFactory method) create_object() (sage.rings.function_field.constructor.FunctionFieldExtensionFactory method) (sage.rings.function_field.constructor.FunctionFieldFactory method) D decomposition() (sage.rings.function_field.order.FunctionFieldMaximalOrder_global method) (sage.rings.function_field.order.FunctionFieldMaximalOrder_polymod method) (sage.rings.function_field.order.FunctionFieldMaximalOrderInfinite_polymod method) default_precision() (sage.rings.function_field.maps.FunctionFieldCompletion method) defining_morphism() (sage.rings.function_field.extensions.ConstantFieldExtension method) degree() (sage.rings.function_field.divisor.FunctionFieldDivisor method) (sage.rings.function_field.element.FunctionFieldElement method) (sage.rings.function_field.function_field.FunctionField_polymod method) (sage.rings.function_field.function_field.RationalFunctionField method) (sage.rings.function_field.place.FunctionFieldPlace_polymod method) (sage.rings.function_field.place.FunctionFieldPlace_rational method) denominator() (sage.rings.function_field.divisor.FunctionFieldDivisor method) (sage.rings.function_field.element.FunctionFieldElement_rational method) (sage.rings.function_field.ideal.FunctionFieldIdeal_polymod method) (sage.rings.function_field.ideal.FunctionFieldIdeal_rational method) derivative() (sage.rings.function_field.element.FunctionFieldElement method) dict() (sage.rings.function_field.divisor.FunctionFieldDivisor method) different() (sage.rings.function_field.function_field.FunctionField_polymod method) (sage.rings.function_field.function_field.RationalFunctionField method) (sage.rings.function_field.order.FunctionFieldMaximalOrder_polymod method) (sage.rings.function_field.order.FunctionFieldMaximalOrderInfinite_polymod method) differential() (sage.rings.function_field.element.FunctionFieldElement method) differential_space() (sage.rings.function_field.divisor.FunctionFieldDivisor method) DifferentialsSpace (class in sage.rings.function_field.differential) DifferentialsSpace_global (class in sage.rings.function_field.differential) DifferentialsSpaceInclusion (class in sage.rings.function_field.differential) dimension() (sage.rings.function_field.divisor.FunctionFieldDivisor method) divisor() (in module sage.rings.function_field.divisor) (sage.rings.function_field.differential.FunctionFieldDifferential method) (sage.rings.function_field.element.FunctionFieldElement method) (sage.rings.function_field.ideal.FunctionFieldIdeal method) (sage.rings.function_field.place.FunctionFieldPlace method) divisor_group() (sage.rings.function_field.function_field.FunctionField method) divisor_of_poles() (sage.rings.function_field.element.FunctionFieldElement method) (sage.rings.function_field.ideal.FunctionFieldIdeal method) divisor_of_zeros() (sage.rings.function_field.element.FunctionFieldElement method) (sage.rings.function_field.ideal.FunctionFieldIdeal method) DivisorGroup (class in sage.rings.function_field.divisor) domain() (sage.rings.function_field.maps.MapVectorSpaceToFunctionField method) E Element (sage.rings.function_field.differential.DifferentialsSpace attribute) (sage.rings.function_field.differential.DifferentialsSpace_global attribute) (sage.rings.function_field.divisor.DivisorGroup attribute) (sage.rings.function_field.function_field.FunctionField_polymod attribute) (sage.rings.function_field.function_field.RationalFunctionField attribute) (sage.rings.function_field.place.PlaceSet attribute) element() (sage.rings.function_field.element.FunctionFieldElement_polymod method) (sage.rings.function_field.element.FunctionFieldElement_rational method) equation_order() (sage.rings.function_field.function_field.FunctionField_integral method) (sage.rings.function_field.function_field.FunctionField_polymod method) (sage.rings.function_field.function_field.RationalFunctionField method) equation_order_infinite() (sage.rings.function_field.function_field.FunctionField_integral method) (sage.rings.function_field.function_field.RationalFunctionField method) evaluate() (sage.rings.function_field.element.FunctionFieldElement method) exact_constant_field() (sage.rings.function_field.function_field.FunctionField_simple method) extension() (sage.rings.function_field.function_field.FunctionField method) (sage.rings.function_field.function_field.RationalFunctionField method) extension_constant_field() (sage.rings.function_field.function_field.FunctionField method) F factor() (sage.rings.function_field.element.FunctionFieldElement_rational method) (sage.rings.function_field.ideal.FunctionFieldIdeal method) field() (sage.rings.function_field.function_field.RationalFunctionField method) fraction_field() (sage.rings.function_field.order.FunctionFieldOrder_base method) FractionFieldToFunctionField (class in sage.rings.function_field.maps) free_module() (sage.rings.function_field.function_field.FunctionField_polymod method) (sage.rings.function_field.function_field.RationalFunctionField method) (sage.rings.function_field.order.FunctionFieldMaximalOrder_polymod method) (sage.rings.function_field.order.FunctionFieldOrder_basis method) (sage.rings.function_field.order.FunctionFieldOrderInfinite_basis method) function_field() (sage.rings.function_field.differential.DifferentialsSpace method) (sage.rings.function_field.divisor.DivisorGroup method) (sage.rings.function_field.order.FunctionFieldOrder_base method) (sage.rings.function_field.place.FunctionFieldPlace method) (sage.rings.function_field.place.PlaceSet method) function_space() (sage.rings.function_field.divisor.FunctionFieldDivisor method) FunctionField (class in sage.rings.function_field.function_field) FunctionField_char_zero (class in sage.rings.function_field.function_field) FunctionField_char_zero_integral (class in sage.rings.function_field.function_field) FunctionField_global (class in sage.rings.function_field.function_field) FunctionField_global_integral (class in sage.rings.function_field.function_field) FunctionField_integral (class in sage.rings.function_field.function_field) FunctionField_polymod (class in sage.rings.function_field.function_field) FunctionField_simple (class in sage.rings.function_field.function_field) FunctionFieldCompletion (class in sage.rings.function_field.maps) FunctionFieldConversionToConstantBaseField (class in sage.rings.function_field.maps) FunctionFieldDerivation (class in sage.rings.function_field.maps) FunctionFieldDerivation_inseparable (class in sage.rings.function_field.maps) FunctionFieldDerivation_rational (class in sage.rings.function_field.maps) FunctionFieldDerivation_separable (class in sage.rings.function_field.maps) FunctionFieldDifferential (class in sage.rings.function_field.differential) FunctionFieldDifferential_global (class in sage.rings.function_field.differential) FunctionFieldDivisor (class in sage.rings.function_field.divisor) FunctionFieldElement (class in sage.rings.function_field.element) FunctionFieldElement_polymod (class in sage.rings.function_field.element) FunctionFieldElement_rational (class in sage.rings.function_field.element) FunctionFieldExtension (class in sage.rings.function_field.extensions) FunctionFieldExtensionFactory (class in sage.rings.function_field.constructor) FunctionFieldFactory (class in sage.rings.function_field.constructor) FunctionFieldHigherDerivation (class in sage.rings.function_field.maps) FunctionFieldHigherDerivation_char_zero (class in sage.rings.function_field.maps) FunctionFieldHigherDerivation_global (class in sage.rings.function_field.maps) FunctionFieldIdeal (class in sage.rings.function_field.ideal) FunctionFieldIdeal_global (class in sage.rings.function_field.ideal) FunctionFieldIdeal_module (class in sage.rings.function_field.ideal) FunctionFieldIdeal_polymod (class in sage.rings.function_field.ideal) FunctionFieldIdeal_rational (class in sage.rings.function_field.ideal) FunctionFieldIdealInfinite (class in sage.rings.function_field.ideal) FunctionFieldIdealInfinite_module (class in sage.rings.function_field.ideal) FunctionFieldIdealInfinite_polymod (class in sage.rings.function_field.ideal) FunctionFieldIdealInfinite_rational (class in sage.rings.function_field.ideal) FunctionFieldLinearMap (class in sage.rings.function_field.maps) FunctionFieldLinearMapSection (class in sage.rings.function_field.maps) FunctionFieldMaximalOrder (class in sage.rings.function_field.order) FunctionFieldMaximalOrder_global (class in sage.rings.function_field.order) FunctionFieldMaximalOrder_polymod (class in sage.rings.function_field.order) FunctionFieldMaximalOrder_rational (class in sage.rings.function_field.order) FunctionFieldMaximalOrderInfinite (class in sage.rings.function_field.order) FunctionFieldMaximalOrderInfinite_polymod (class in sage.rings.function_field.order) FunctionFieldMaximalOrderInfinite_rational (class in sage.rings.function_field.order) FunctionFieldMorphism (class in sage.rings.function_field.maps) FunctionFieldMorphism_polymod (class in sage.rings.function_field.maps) FunctionFieldMorphism_rational (class in sage.rings.function_field.maps) FunctionFieldOrder (class in sage.rings.function_field.order) FunctionFieldOrder_base (class in sage.rings.function_field.order) FunctionFieldOrder_basis (class in sage.rings.function_field.order) FunctionFieldOrderInfinite (class in sage.rings.function_field.order) FunctionFieldOrderInfinite_basis (class in sage.rings.function_field.order) FunctionFieldPlace (class in sage.rings.function_field.place) FunctionFieldPlace_polymod (class in sage.rings.function_field.place) FunctionFieldPlace_rational (class in sage.rings.function_field.place) FunctionFieldRingMorphism (class in sage.rings.function_field.maps) FunctionFieldToFractionField (class in sage.rings.function_field.maps) FunctionFieldValuationRing (class in sage.rings.function_field.valuation_ring) FunctionFieldVectorSpaceIsomorphism (class in sage.rings.function_field.maps) G gaps() (sage.rings.function_field.function_field.FunctionField_global method) (sage.rings.function_field.place.FunctionFieldPlace_polymod method) gen() (sage.rings.function_field.function_field.FunctionField_polymod method) (sage.rings.function_field.function_field.RationalFunctionField method) (sage.rings.function_field.ideal.FunctionFieldIdeal_module method) (sage.rings.function_field.ideal.FunctionFieldIdeal_rational method) (sage.rings.function_field.ideal.FunctionFieldIdealInfinite_rational method) (sage.rings.function_field.order.FunctionFieldMaximalOrder_polymod method) (sage.rings.function_field.order.FunctionFieldMaximalOrder_rational method) (sage.rings.function_field.order.FunctionFieldMaximalOrderInfinite_polymod method) (sage.rings.function_field.order.FunctionFieldMaximalOrderInfinite_rational method) gens() (sage.rings.function_field.ideal.FunctionFieldIdeal_global method) (sage.rings.function_field.ideal.FunctionFieldIdeal_module method) (sage.rings.function_field.ideal.FunctionFieldIdeal_polymod method) (sage.rings.function_field.ideal.FunctionFieldIdeal_rational method) (sage.rings.function_field.ideal.FunctionFieldIdealInfinite_polymod method) (sage.rings.function_field.ideal.FunctionFieldIdealInfinite_rational method) gens_over_base() (sage.rings.function_field.ideal.FunctionFieldIdeal_polymod method) (sage.rings.function_field.ideal.FunctionFieldIdeal_rational method) (sage.rings.function_field.ideal.FunctionFieldIdealInfinite_polymod method) (sage.rings.function_field.ideal.FunctionFieldIdealInfinite_rational method) gens_reduced() (sage.rings.function_field.ideal.FunctionFieldIdeal method) gens_two() (sage.rings.function_field.ideal.FunctionFieldIdeal_global method) (sage.rings.function_field.ideal.FunctionFieldIdealInfinite_polymod method) genus() (sage.rings.function_field.function_field.FunctionField_polymod method) (sage.rings.function_field.function_field.FunctionField_simple method) (sage.rings.function_field.function_field.RationalFunctionField method) get_place() (sage.rings.function_field.function_field.FunctionField_global method) (sage.rings.function_field.function_field.RationalFunctionField_global method) H higher_derivation() (sage.rings.function_field.function_field.FunctionField_char_zero method) (sage.rings.function_field.function_field.FunctionField_global method) (sage.rings.function_field.function_field.RationalFunctionField_char_zero method) (sage.rings.function_field.function_field.RationalFunctionField_global method) higher_derivative() (sage.rings.function_field.element.FunctionFieldElement method) hnf() (sage.rings.function_field.ideal.FunctionFieldIdeal_polymod method) hom() (sage.rings.function_field.function_field.FunctionField_polymod method) (sage.rings.function_field.function_field.RationalFunctionField method) I ideal() (sage.rings.function_field.order.FunctionFieldMaximalOrder_polymod method) (sage.rings.function_field.order.FunctionFieldMaximalOrder_rational method) (sage.rings.function_field.order.FunctionFieldMaximalOrderInfinite_polymod method) (sage.rings.function_field.order.FunctionFieldMaximalOrderInfinite_rational method) (sage.rings.function_field.order.FunctionFieldOrder_basis method) (sage.rings.function_field.order.FunctionFieldOrderInfinite_basis method) ideal_below() (sage.rings.function_field.ideal.FunctionFieldIdeal_polymod method) (sage.rings.function_field.ideal.FunctionFieldIdealInfinite_polymod method) ideal_monoid() (sage.rings.function_field.order.FunctionFieldOrder_base method) ideal_with_gens_over_base() (sage.rings.function_field.order.FunctionFieldMaximalOrder_polymod method) (sage.rings.function_field.order.FunctionFieldMaximalOrder_rational method) (sage.rings.function_field.order.FunctionFieldMaximalOrderInfinite_polymod method) (sage.rings.function_field.order.FunctionFieldOrder_basis method) (sage.rings.function_field.order.FunctionFieldOrderInfinite_basis method) IdealMonoid (class in sage.rings.function_field.ideal) intersect() (sage.rings.function_field.ideal.FunctionFieldIdeal_polymod method) intersection() (sage.rings.function_field.ideal.FunctionFieldIdeal_module method) inverse_mod() (sage.rings.function_field.element.FunctionFieldElement_rational method) is_effective() (sage.rings.function_field.divisor.FunctionFieldDivisor method) is_field() (sage.rings.function_field.order.FunctionFieldOrder_base method) is_finite() (sage.rings.function_field.function_field.FunctionField method) is_FunctionField() (in module sage.rings.function_field.function_field) is_FunctionFieldElement() (in module sage.rings.function_field.element) is_global() (sage.rings.function_field.function_field.FunctionField method) is_infinite_place() (sage.rings.function_field.place.FunctionFieldPlace_polymod method) (sage.rings.function_field.place.FunctionFieldPlace_rational method) is_injective() (sage.rings.function_field.differential.DifferentialsSpaceInclusion method) (sage.rings.function_field.maps.FunctionFieldDerivation method) (sage.rings.function_field.maps.FunctionFieldVectorSpaceIsomorphism method) is_integral() (sage.rings.function_field.element.FunctionFieldElement method) (sage.rings.function_field.ideal.FunctionFieldIdeal_polymod method) is_noetherian() (sage.rings.function_field.order.FunctionFieldOrder_base method) is_nth_power() (sage.rings.function_field.element.FunctionFieldElement method) (sage.rings.function_field.element.FunctionFieldElement_polymod method) (sage.rings.function_field.element.FunctionFieldElement_rational method) is_perfect() (sage.rings.function_field.function_field.FunctionField method) is_prime() (sage.rings.function_field.ideal.FunctionFieldIdeal_polymod method) (sage.rings.function_field.ideal.FunctionFieldIdeal_rational method) (sage.rings.function_field.ideal.FunctionFieldIdealInfinite_polymod method) (sage.rings.function_field.ideal.FunctionFieldIdealInfinite_rational method) is_separable() (sage.rings.function_field.function_field.FunctionField_polymod method) is_square() (sage.rings.function_field.element.FunctionFieldElement_rational method) is_subring() (sage.rings.function_field.order.FunctionFieldOrder_base method) is_surjective() (sage.rings.function_field.differential.DifferentialsSpaceInclusion method) (sage.rings.function_field.maps.FunctionFieldVectorSpaceIsomorphism method) L L_polynomial() (sage.rings.function_field.function_field.FunctionField_global method) list() (sage.rings.function_field.divisor.FunctionFieldDivisor method) (sage.rings.function_field.element.FunctionFieldElement_polymod method) (sage.rings.function_field.element.FunctionFieldElement_rational method) local_uniformizer() (sage.rings.function_field.place.FunctionFieldPlace_polymod method) (sage.rings.function_field.place.FunctionFieldPlace_rational method) M make_FunctionFieldElement() (in module sage.rings.function_field.element) MapFunctionFieldToVectorSpace (class in sage.rings.function_field.maps) MapVectorSpaceToFunctionField (class in sage.rings.function_field.maps) matrix() (sage.rings.function_field.element.FunctionFieldElement method) maximal_order() (sage.rings.function_field.function_field.FunctionField_global method) (sage.rings.function_field.function_field.FunctionField_polymod method) (sage.rings.function_field.function_field.RationalFunctionField method) maximal_order_infinite() (sage.rings.function_field.function_field.FunctionField_polymod method) (sage.rings.function_field.function_field.RationalFunctionField method) minimal_polynomial() (sage.rings.function_field.element.FunctionFieldElement method) minpoly() (sage.rings.function_field.element.FunctionFieldElement method) module sage.rings.function_field.constructor sage.rings.function_field.differential sage.rings.function_field.divisor sage.rings.function_field.element sage.rings.function_field.extensions sage.rings.function_field.function_field sage.rings.function_field.hermite_form_polynomial sage.rings.function_field.ideal sage.rings.function_field.maps sage.rings.function_field.order sage.rings.function_field.place sage.rings.function_field.valuation_ring module() (sage.rings.function_field.ideal.FunctionFieldIdeal_module method) (sage.rings.function_field.ideal.FunctionFieldIdeal_polymod method) (sage.rings.function_field.ideal.FunctionFieldIdeal_rational method) (sage.rings.function_field.ideal.FunctionFieldIdealInfinite_module method) monic_integral_model() (sage.rings.function_field.function_field.FunctionField_polymod method) monomial_coefficients() (sage.rings.function_field.differential.FunctionFieldDifferential method) multiplicity() (sage.rings.function_field.divisor.FunctionFieldDivisor method) N ngens() (sage.rings.function_field.function_field.FunctionField_polymod method) (sage.rings.function_field.function_field.RationalFunctionField method) (sage.rings.function_field.ideal.FunctionFieldIdeal_module method) (sage.rings.function_field.order.FunctionFieldMaximalOrder_polymod method) (sage.rings.function_field.order.FunctionFieldMaximalOrder_rational method) (sage.rings.function_field.order.FunctionFieldMaximalOrderInfinite_polymod method) (sage.rings.function_field.order.FunctionFieldMaximalOrderInfinite_rational method) norm() (sage.rings.function_field.element.FunctionFieldElement method) (sage.rings.function_field.ideal.FunctionFieldIdeal_polymod method) nth_root() (sage.rings.function_field.element.FunctionFieldElement method) (sage.rings.function_field.element.FunctionFieldElement_polymod method) (sage.rings.function_field.element.FunctionFieldElement_rational method) number_of_rational_places() (sage.rings.function_field.function_field.FunctionField_global method) numerator() (sage.rings.function_field.divisor.FunctionFieldDivisor method) (sage.rings.function_field.element.FunctionFieldElement_rational method) O order() (sage.rings.function_field.function_field.FunctionField method) order_infinite() (sage.rings.function_field.function_field.FunctionField method) order_infinite_with_basis() (sage.rings.function_field.function_field.FunctionField method) order_with_basis() (sage.rings.function_field.function_field.FunctionField method) P p_radical() (sage.rings.function_field.order.FunctionFieldMaximalOrder_global method) place() (sage.rings.function_field.ideal.FunctionFieldIdeal method) (sage.rings.function_field.valuation_ring.FunctionFieldValuationRing method) place_below() (sage.rings.function_field.place.FunctionFieldPlace_polymod method) place_infinite() (sage.rings.function_field.function_field.RationalFunctionField_global method) place_set() (sage.rings.function_field.function_field.FunctionField method) places() (sage.rings.function_field.function_field.FunctionField_global method) (sage.rings.function_field.function_field.RationalFunctionField_global method) places_above() (sage.rings.function_field.function_field.FunctionField_simple method) places_finite() (sage.rings.function_field.function_field.FunctionField_global method) (sage.rings.function_field.function_field.RationalFunctionField_global method) places_infinite() (sage.rings.function_field.function_field.FunctionField_global method) PlaceSet (class in sage.rings.function_field.place) poles() (sage.rings.function_field.element.FunctionFieldElement method) polynomial() (sage.rings.function_field.function_field.FunctionField_polymod method) (sage.rings.function_field.order.FunctionFieldMaximalOrder_polymod method) (sage.rings.function_field.order.FunctionFieldOrder_basis method) (sage.rings.function_field.order.FunctionFieldOrderInfinite_basis method) polynomial_ring() (sage.rings.function_field.function_field.FunctionField_polymod method) (sage.rings.function_field.function_field.RationalFunctionField method) prime_below() (sage.rings.function_field.ideal.FunctionFieldIdeal_polymod method) (sage.rings.function_field.ideal.FunctionFieldIdealInfinite_polymod method) prime_divisor() (in module sage.rings.function_field.divisor) prime_ideal() (sage.rings.function_field.order.FunctionFieldMaximalOrderInfinite_rational method) (sage.rings.function_field.place.FunctionFieldPlace method) primitive_element() (sage.rings.function_field.function_field.FunctionField_polymod method) primitive_integal_element_infinite() (sage.rings.function_field.function_field.FunctionField_integral method) R random_element() (sage.rings.function_field.function_field.FunctionField_polymod method) (sage.rings.function_field.function_field.RationalFunctionField method) rational_function_field() (sage.rings.function_field.function_field.FunctionField method) RationalFunctionField (class in sage.rings.function_field.function_field) RationalFunctionField_char_zero (class in sage.rings.function_field.function_field) RationalFunctionField_global (class in sage.rings.function_field.function_field) RationalFunctionFieldHigherDerivation_global (class in sage.rings.function_field.maps) relative_degree() (sage.rings.function_field.place.FunctionFieldPlace_polymod method) residue() (sage.rings.function_field.differential.FunctionFieldDifferential method) residue_field() (sage.rings.function_field.function_field.FunctionField_simple method) (sage.rings.function_field.function_field.RationalFunctionField method) (sage.rings.function_field.place.FunctionFieldPlace_polymod method) (sage.rings.function_field.place.FunctionFieldPlace_rational method) (sage.rings.function_field.valuation_ring.FunctionFieldValuationRing method) reversed_hermite_form() (in module sage.rings.function_field.hermite_form_polynomial) ring() (sage.rings.function_field.ideal.FunctionFieldIdeal method) (sage.rings.function_field.ideal.IdealMonoid method) S sage.rings.function_field.constructor module sage.rings.function_field.differential module sage.rings.function_field.divisor module sage.rings.function_field.element module sage.rings.function_field.extensions module sage.rings.function_field.function_field module sage.rings.function_field.hermite_form_polynomial module sage.rings.function_field.ideal module sage.rings.function_field.maps module sage.rings.function_field.order module sage.rings.function_field.place module sage.rings.function_field.valuation_ring module section() (sage.rings.function_field.maps.FractionFieldToFunctionField method) (sage.rings.function_field.maps.FunctionFieldToFractionField method) separable_model() (sage.rings.function_field.function_field.FunctionField_polymod method) simple_model() (sage.rings.function_field.function_field.FunctionField_polymod method) some_elements() (sage.rings.function_field.function_field.FunctionField method) space_of_differentials() (sage.rings.function_field.function_field.FunctionField method) space_of_differentials_of_first_kind() (sage.rings.function_field.function_field.FunctionField method) space_of_holomorphic_differentials() (sage.rings.function_field.function_field.FunctionField method) sqrt() (sage.rings.function_field.element.FunctionFieldElement_rational method) support() (sage.rings.function_field.divisor.FunctionFieldDivisor method) T top() (sage.rings.function_field.extensions.ConstantFieldExtension method) trace() (sage.rings.function_field.element.FunctionFieldElement method) V valuation() (sage.rings.function_field.differential.FunctionFieldDifferential method) (sage.rings.function_field.divisor.FunctionFieldDivisor method) (sage.rings.function_field.element.FunctionFieldElement method) (sage.rings.function_field.element.FunctionFieldElement_rational method) (sage.rings.function_field.function_field.FunctionField method) (sage.rings.function_field.ideal.FunctionFieldIdeal_polymod method) (sage.rings.function_field.ideal.FunctionFieldIdeal_rational method) (sage.rings.function_field.ideal.FunctionFieldIdealInfinite_polymod method) (sage.rings.function_field.ideal.FunctionFieldIdealInfinite_rational method) valuation_ring() (sage.rings.function_field.place.FunctionFieldPlace_polymod method) (sage.rings.function_field.place.FunctionFieldPlace_rational method) W weierstrass_places() (sage.rings.function_field.function_field.FunctionField_global method) Z zeros() (sage.rings.function_field.element.FunctionFieldElement method)