Index – U u (sage.modular.modsym.manin_symbol.ManinSymbol attribute) u() (sage.algebras.hecke_algebras.ariki_koike_algebra.ArikiKoikeAlgebra method) U() (sage.groups.perm_gps.cubegroup.CubeGroup method) u() (sage.modular.local_comp.type_space.TypeSpace method) U() (sage.modular.modform_hecketriangle.hecke_triangle_groups.HeckeTriangleGroup method) U1 (sage.databases.cubic_hecke_db.MarkovTraceModuleBasis attribute) U2 (sage.databases.cubic_hecke_db.MarkovTraceModuleBasis attribute) U3 (sage.databases.cubic_hecke_db.MarkovTraceModuleBasis attribute) U4 (sage.databases.cubic_hecke_db.MarkovTraceModuleBasis attribute) U42Graph216() (in module sage.graphs.generators.smallgraphs) (sage.graphs.graph_generators.GraphGenerators static method) U42Graph540() (in module sage.graphs.generators.smallgraphs) (sage.graphs.graph_generators.GraphGenerators static method) u_u_plus_v_code() (sage.coding.linear_code.AbstractLinearCode method) ubs() (in module sage.schemes.hyperelliptic_curves.invariants) UCF_sqrt_int() (in module sage.rings.universal_cyclotomic_field) UCFtoQQbar (class in sage.rings.universal_cyclotomic_field) Ueberschiebung() (in module sage.schemes.hyperelliptic_curves.invariants) UHP (sage.geometry.hyperbolic_space.hyperbolic_interface.HyperbolicPlane attribute) ulp() (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfr.RealNumber method) ultra_summit_set() (sage.groups.braid.Braid method) umbral_operation() (in module sage.combinat.misc) unapply() (sage.interfaces.giac.GiacElement method) unary_pd (class in sage.rings.polynomial.polynomial_compiled) unbind() (sage.interfaces.gap.Gap_generic method) unbounded_above_closed() (sage.sets.real_set.RealSet static method) unbounded_above_open() (sage.sets.real_set.RealSet static method) unbounded_below_closed() (sage.sets.real_set.RealSet static method) unbounded_below_open() (sage.sets.real_set.RealSet static method) unbounded_map() (sage.combinat.combinatorial_map.CombinatorialMap method) unbounded_regions() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method) uncamelcase() (in module sage.categories.category_with_axiom) uncompactify() (sage.combinat.words.suffix_trees.ImplicitSuffixTree method) undefined() (sage.rings.lazy_series_ring.LazySeriesRing method) UndefSageHelper (class in sage.interfaces.sympy) under() (sage.combinat.binary_tree.BinaryTree method) (sage.combinat.free_dendriform_algebra.FreeDendriformAlgebra method), [1] under_decomposition() (sage.combinat.binary_tree.BinaryTree method) underlying_graph() (in module sage.graphs.tutte_polynomial) underlying_map() (sage.rings.morphism.RingHomomorphism_from_base method) underlying_set() (sage.combinat.subset.Subsets_s method) underscore() (sage.interfaces.macaulay2.Macaulay2Element method) UnderscoreSageMorphism (class in sage.symbolic.ring) undo() (sage.groups.perm_gps.cubegroup.RubiksCube method) unencode() (sage.coding.abstract_code.AbstractCode method) (sage.coding.encoder.Encoder method) unencode_nocheck() (sage.coding.ag_code_decoders.DifferentialAGCodeEncoder method) (sage.coding.ag_code_decoders.EvaluationAGCodeEncoder method) (sage.coding.cyclic_code.CyclicCodePolynomialEncoder method) (sage.coding.cyclic_code.CyclicCodeVectorEncoder method) (sage.coding.encoder.Encoder method) (sage.coding.grs_code.GRSEvaluationPolynomialEncoder method) (sage.coding.parity_check_code.ParityCheckCodeStraightforwardEncoder method) (sage.coding.reed_muller_code.ReedMullerPolynomialEncoder method) unextend_zero() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method) unfill_isogeny_matrix() (in module sage.schemes.elliptic_curves.ell_curve_isogeny) unfix() (sage.stats.hmm.distributions.GaussianMixtureDistribution method) UnflatteningMorphism (class in sage.rings.polynomial.flatten) unhide() (sage.combinat.misc.DoublyLinkedList method) unhold() (sage.symbolic.expression.Expression method) UNICODE() (sage.misc.explain_pickle.PickleExplainer method) unicode_art() (in module sage.typeset.unicode_art) unicode_art_formatter() (sage.repl.rich_output.backend_base.BackendBase method) unicode_subscript() (in module sage.typeset.unicode_art) unicode_superscript() (in module sage.typeset.unicode_art) unicode_symbol (sage.categories.signed_tensor.SignedTensorProductFunctor attribute) (sage.categories.tensor.TensorProductFunctor attribute) UnicodeArt (class in sage.typeset.unicode_art) Uniform() (in module sage.matroids.catalog) uniform() (in module sage.misc.prandom) uniformiser() (sage.rings.padics.local_generic.LocalGeneric method) uniformiser_pow() (sage.rings.padics.local_generic.LocalGeneric method) uniformizer() (sage.categories.discrete_valuation.DiscreteValuationFields.ParentMethods method) (sage.categories.discrete_valuation.DiscreteValuationRings.ParentMethods method) (sage.rings.function_field.function_field_valuation.InducedRationalFunctionFieldValuation_base method) (sage.rings.laurent_series_ring.LaurentSeriesRing method) (sage.rings.lazy_series_ring.LazyLaurentSeriesRing method) (sage.rings.lazy_series_ring.LazyPowerSeriesRing method) (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.number_field.number_field_rel.NumberField_relative method) (sage.rings.padics.eisenstein_extension_generic.EisensteinExtensionGeneric method) (sage.rings.padics.padic_base_generic.pAdicBaseGeneric method) (sage.rings.padics.padic_valuation.pAdicValuation_int method) (sage.rings.padics.padic_valuation.pAdicValuation_padic method) (sage.rings.padics.unramified_extension_generic.UnramifiedExtensionGeneric method) (sage.rings.power_series_ring.PowerSeriesRing_generic method) (sage.rings.puiseux_series_ring.PuiseuxSeriesRing method) (sage.rings.valuation.augmented_valuation.AugmentedValuation_base method) (sage.rings.valuation.gauss_valuation.GaussValuation_generic method) (sage.rings.valuation.limit_valuation.MacLaneLimitValuation method) (sage.rings.valuation.mapped_valuation.MappedValuation_base method) (sage.rings.valuation.scaled_valuation.ScaledValuation_generic method) (sage.rings.valuation.trivial_valuation.TrivialDiscretePseudoValuation_base method) (sage.rings.valuation.valuation_space.DiscretePseudoValuationSpace.ElementMethods method) uniformizer_pow() (sage.rings.padics.eisenstein_extension_generic.EisensteinExtensionGeneric method) (sage.rings.padics.padic_base_generic.pAdicBaseGeneric method) (sage.rings.padics.padic_generic.pAdicGeneric method) (sage.rings.padics.unramified_extension_generic.UnramifiedExtensionGeneric method) UniformNoiseLWE (class in sage.crypto.lwe) UniformPolynomialSampler (class in sage.crypto.lwe) UniformRandomUniform() (sage.graphs.hypergraph_generators.HypergraphGenerators method) UniformSampler (class in sage.crypto.lwe) unify_arguments() (in module sage.plot.misc) (sage.symbolic.callable.CallableSymbolicExpressionFunctor method) unimod_matrices_from_infty() (in module sage.modular.pollack_stevens.manin_map) unimod_matrices_to_infty() (in module sage.modular.pollack_stevens.manin_map) unimod_to_matrices() (sage.modular.pollack_stevens.fund_domain.ManinRelations method) UninitializedGlobalVariableMixin (class in sage_docbuild.ext.sage_autodoc) UninitializedInstanceAttributeMixin (class in sage_docbuild.ext.sage_autodoc) uninstall() (in module sage.repl.inputhook) (sage.repl.rich_output.backend_base.BackendBase method) (sage.repl.rich_output.backend_doctest.BackendDoctest method) union() (in module sage.misc.misc) (sage.combinat.combinat.CombinatorialClass method) (sage.combinat.e_one_star.Patch method) (sage.data_structures.bitset.FrozenBitset method) (sage.data_structures.mutable_poset.MutablePoset method) (sage.databases.sql_db.SQLQuery method) (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method) (sage.geometry.polyhedral_complex.PolyhedralComplex method) (sage.graphs.generic_graph.GenericGraph method) (sage.manifolds.subset.ManifoldSubset method) (sage.matroids.matroid.Matroid method) (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.polynomial.pbori.pbori.BooleSet method) (sage.rings.qqbar.AlgebraicGenerator method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.schemes.curves.curve.Curve_generic method) (sage.schemes.elliptic_curves.height.UnionOfIntervals class method) (sage.schemes.generic.algebraic_scheme.AlgebraicScheme_subscheme method) (sage.schemes.generic.scheme.Scheme method) (sage.sets.disjoint_set.DisjointSet_of_hashables method) (sage.sets.disjoint_set.DisjointSet_of_integers method) (sage.sets.real_set.RealSet method) (sage.sets.set.Set_base method) (sage.sets.set.Set_object_enumerated method) union_as_polyhedron() (sage.geometry.polyhedral_complex.PolyhedralComplex method) union_update() (sage.data_structures.mutable_poset.MutablePoset method) UnionCombinatorialClass (class in sage.combinat.combinat) UnionOfIntervals (class in sage.schemes.elliptic_curves.height) uniq() (in module sage.misc.misc) unique_ceil() (sage.rings.real_mpfi.RealIntervalFieldElement method) unique_floor() (sage.rings.real_mpfi.RealIntervalFieldElement method) unique_integer() (sage.rings.real_mpfi.RealIntervalFieldElement method) unique_name() (sage.plot.plot3d.base.RenderParams method) unique_parent_warnings (sage.structure.debug_options.DebugOptions_class attribute) unique_round() (sage.rings.real_mpfi.RealIntervalFieldElement method) unique_sign() (sage.rings.real_mpfi.RealIntervalFieldElement method) unique_trunc() (sage.rings.real_mpfi.RealIntervalFieldElement method) UniqueFactorizationDomains (class in sage.categories.unique_factorization_domains) UniqueFactorizationDomains.ElementMethods (class in sage.categories.unique_factorization_domains) UniqueFactorizationDomains.ParentMethods (class in sage.categories.unique_factorization_domains) UniqueFactory (class in sage.structure.factory) UniqueFactoryTester (class in sage.structure.test_factory) UniqueRepresentation (class in sage.structure.unique_representation) UniqueSimplicialComplex (class in sage.topology.simplicial_complex_examples) unit() (sage.combinat.root_system.weyl_group.WeylGroup_gens method) (sage.structure.factorization.Factorization method) (sage.symbolic.expression.Expression method) unit_content_primitive() (sage.symbolic.expression.Expression method) unit_derivations_expr() (in module sage.symbolic.units) unit_gens() (sage.modular.dirichlet.DirichletGroup_class method) (sage.modular.local_comp.smoothchar.SmoothCharacterGroupGeneric method) (sage.modular.local_comp.smoothchar.SmoothCharacterGroupQp method) (sage.modular.local_comp.smoothchar.SmoothCharacterGroupRamifiedQuadratic method) (sage.modular.local_comp.smoothchar.SmoothCharacterGroupUnramifiedQuadratic method) (sage.rings.finite_rings.integer_mod_ring.IntegerModRing_generic method) unit_group() (sage.rings.finite_rings.integer_mod_ring.IntegerModRing_generic method) (sage.rings.number_field.number_field.NumberField_generic method) unit_group_exponent() (sage.rings.finite_rings.finite_field_base.FiniteField method) (sage.rings.finite_rings.integer_mod_ring.IntegerModRing_generic method) unit_group_order() (sage.rings.finite_rings.integer_mod_ring.IntegerModRing_generic method) unit_ideal() (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method), [1] (sage.rings.ring.Ring method) unit_part() (sage.rings.padics.padic_capped_absolute_element.CAElement method) (sage.rings.padics.padic_capped_absolute_element.pAdicTemplateElement method) (sage.rings.padics.padic_capped_relative_element.CRElement method) (sage.rings.padics.padic_capped_relative_element.pAdicTemplateElement method) (sage.rings.padics.padic_fixed_mod_element.FMElement method) (sage.rings.padics.padic_fixed_mod_element.pAdicTemplateElement method) (sage.rings.padics.padic_ZZ_pX_CA_element.pAdicZZpXCAElement method) (sage.rings.padics.padic_ZZ_pX_CR_element.pAdicZZpXCRElement method) (sage.rings.padics.padic_ZZ_pX_FM_element.pAdicZZpXFMElement method) unit_quadratic_integer() (sage.interfaces.maxima_abstract.MaximaAbstract method) Unital (sage.categories.associative_algebras.AssociativeAlgebras attribute) (sage.categories.distributive_magmas_and_additive_magmas.DistributiveMagmasAndAdditiveMagmas.AdditiveAssociative.AdditiveCommutative.AdditiveUnital.Associative attribute) (sage.categories.magmatic_algebras.MagmaticAlgebras attribute) (sage.categories.rngs.Rngs attribute) (sage.categories.semigroups.Semigroups attribute) Unital() (sage.categories.category_with_axiom.Blahs.SubcategoryMethods method) (sage.categories.magmas.Magmas.SubcategoryMethods method) Unital_extra_super_categories() (sage.categories.category_with_axiom.Bars method) UnitalAlgebras (class in sage.categories.unital_algebras) UnitalAlgebras.ParentMethods (class in sage.categories.unital_algebras) UnitalAlgebras.WithBasis (class in sage.categories.unital_algebras) UnitalAlgebras.WithBasis.ParentMethods (class in sage.categories.unital_algebras) UnitaryDualPolarGraph() (in module sage.graphs.generators.classical_geometries) (sage.graphs.graph_generators.GraphGenerators static method) UnitaryMatrixGroup_gap (class in sage.groups.matrix_gps.unitary) UnitaryMatrixGroup_generic (class in sage.groups.matrix_gps.unitary) UnitaryPolarGraph() (in module sage.graphs.generators.classical_geometries) (sage.graphs.graph_generators.GraphGenerators static method) UnitCircleGroup (class in sage.groups.misc_gps.argument_groups) UnitCirclePoint (class in sage.groups.misc_gps.argument_groups) UnitDiagramMixin (class in sage.combinat.diagram_algebras), [1] unitdocs() (in module sage.symbolic.units) UnitExpression (class in sage.symbolic.units) UnitGroup (class in sage.rings.number_field.unit_group) Units (class in sage.symbolic.units) units() (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) (sage.schemes.toric.points.NaiveFinitePointEnumerator method) units_mod_ideal() (in module sage.modular.cusps_nf) univar_pd (class in sage.rings.polynomial.polynomial_compiled) univariate_decomposition() (sage.rings.asymptotic.asymptotics_multivariate_generating_functions.FractionWithFactoredDenominator method) univariate_polynomial() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) univariate_ring() (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) UnivariateProduct (class in sage.rings.asymptotic.growth_group_cartesian) universal_commutative_algebra() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) universal_discriminant() (in module sage.rings.polynomial.polynomial_element) universal_enveloping_algebra() (sage.categories.lie_algebras.LieAlgebras.ParentMethods method) universal_extension() (sage.combinat.cluster_algebra_quiver.cluster_seed.ClusterSeed method) universal_polynomials() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) universal_property() (sage.topology.simplicial_set_constructions.PullbackOfSimplicialSets_finite method) (sage.topology.simplicial_set_constructions.PushoutOfSimplicialSets_finite method) UniversalCyclotomicField (class in sage.rings.universal_cyclotomic_field) UniversalCyclotomicFieldElement (class in sage.rings.universal_cyclotomic_field) universe() (sage.geometry.polyhedron.parent.Polyhedra_base method) (sage.groups.additive_abelian.additive_abelian_wrapper.AdditiveAbelianGroupWrapper method) (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) (sage.structure.factorization.Factorization method) (sage.structure.sequence.Sequence_generic method) unknown() (sage.rings.lazy_series_ring.LazySeriesRing method) (sage.rings.padics.generic_nodes.pAdicRelaxedGeneric method) UnknownClass (class in sage.misc.unknown) UnknownError unlabeled_edges() (sage.graphs.tutte_polynomial.Ear method) unlabelled_trees() (sage.combinat.binary_tree.BinaryTrees_all method) (sage.combinat.binary_tree.LabelledBinaryTrees method) (sage.combinat.ordered_tree.LabelledOrderedTrees method) (sage.combinat.ordered_tree.OrderedTrees_all method) (sage.combinat.rooted_tree.LabelledRootedTrees_all method) (sage.combinat.rooted_tree.RootedTrees_all method) unload() (sage.databases.sloane.SloaneEncyclopediaClass method) unmatched_places() (in module sage.combinat.tableau) unordered_tuples() (in module sage.combinat.combinat) UnorderedTuples (class in sage.combinat.tuple) UnorderedTuples_sk (in module sage.combinat.tuple) unoriented (sage.databases.knotinfo_db.dc attribute) unpack_operands() (in module sage.symbolic.expression) unparsed_input_form() (sage.interfaces.axiom.PanAxiomElement method) unpickle() (in module sage.matrix.matrix0) unpickle_all() (in module sage.misc.persist) unpickle_appends() (in module sage.misc.explain_pickle) unpickle_basis_matroid() (in module sage.matroids.unpickling) unpickle_binary_matrix() (in module sage.matroids.unpickling) unpickle_binary_matroid() (in module sage.matroids.unpickling) unpickle_BooleanFunction() (in module sage.crypto.boolean_function) unpickle_BooleanPolynomial() (in module sage.rings.polynomial.pbori.pbori) unpickle_BooleanPolynomial0() (in module sage.rings.polynomial.pbori.pbori) unpickle_BooleanPolynomialRing() (in module sage.rings.polynomial.pbori.pbori) unpickle_build() (in module sage.misc.explain_pickle) unpickle_Cache_givaro() (in module sage.rings.finite_rings.element_givaro) unpickle_cae_v2() (in module sage.rings.padics.padic_capped_absolute_element) unpickle_circuit_closures_matroid() (in module sage.matroids.unpickling) unpickle_Constant() (in module sage.symbolic.constants) unpickle_cre_v2() (in module sage.rings.padics.padic_capped_relative_element) unpickle_discrete_hmm_v0() (in module sage.stats.hmm.hmm) unpickle_discrete_hmm_v1() (in module sage.stats.hmm.hmm) unpickle_dual_matroid() (in module sage.matroids.unpickling) unpickle_extension() (in module sage.misc.explain_pickle) unpickle_FiniteDimensionalAlgebraElement() (in module sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_element) unpickle_FiniteField_ext() (in module sage.rings.finite_rings.finite_field_base) unpickle_FiniteField_givaroElement() (in module sage.rings.finite_rings.element_givaro) unpickle_FiniteField_prm() (in module sage.rings.finite_rings.finite_field_base) unpickle_FiniteFieldElement_pari_ffelt() (in module sage.rings.finite_rings.element_pari_ffelt) unpickle_fme_v2() (in module sage.rings.padics.padic_fixed_mod_element) unpickle_FpT_element() (in module sage.rings.fraction_field_FpT) unpickle_function() (in module sage.misc.fpickle) (in module sage.symbolic.function_factory) unpickle_gaussian_hmm_v0() (in module sage.stats.hmm.chmm) unpickle_gaussian_hmm_v1() (in module sage.stats.hmm.chmm) unpickle_gaussian_mixture_distribution_v1() (in module sage.stats.hmm.distributions) unpickle_gaussian_mixture_hmm_v1() (in module sage.stats.hmm.chmm) unpickle_generic_matrix() (in module sage.matroids.unpickling) unpickle_global() (in module sage.misc.persist) unpickle_graph_backend() (in module sage.graphs.base.graph_backends) unpickle_graphic_matroid() (in module sage.matroids.unpickling) unpickle_GroebnerStrategy0() (in module sage.libs.singular.groebner_strategy) unpickle_instantiate() (in module sage.misc.explain_pickle) unpickle_intlist_v1() (in module sage.stats.intlist) unpickle_linear_matroid() (in module sage.matroids.unpickling) unpickle_map() (in module sage.categories.map) unpickle_matrix_gf2e_dense_v0() (in module sage.matrix.matrix_gf2e_dense) unpickle_matrix_mod2_dense_v2() (in module sage.matrix.matrix_mod2_dense) unpickle_minor_matroid() (in module sage.matroids.unpickling) unpickle_MPolynomial_libsingular() (in module sage.rings.polynomial.multi_polynomial_libsingular) unpickle_MPolynomialRing_generic() (in module sage.rings.polynomial.multi_polynomial_ring_base) unpickle_MPolynomialRing_generic_v1() (in module sage.rings.polynomial.multi_polynomial_ring_base) unpickle_MPolynomialRing_libsingular() (in module sage.rings.polynomial.multi_polynomial_libsingular) unpickle_multi_power_series_ring_v0() (in module sage.rings.multi_power_series_ring) unpickle_NCGroebnerStrategy0() (in module sage.libs.singular.groebner_strategy) unpickle_NCPolynomial_plural() (in module sage.rings.polynomial.plural) unpickle_newobj() (in module sage.misc.explain_pickle) unpickle_pcre_v1() (in module sage.rings.padics.padic_capped_relative_element) unpickle_persistent() (in module sage.misc.explain_pickle) unpickle_plus_minus_one_matrix() (in module sage.matroids.unpickling) unpickle_PolynomialRing() (in module sage.rings.polynomial.polynomial_ring_constructor) unpickle_power_series_ring_v0() (in module sage.rings.power_series_ring) unpickle_quaternary_matrix() (in module sage.matroids.unpickling) unpickle_quaternary_matroid() (in module sage.matroids.unpickling) unpickle_QuaternionAlgebra_v0() (in module sage.algebras.quatalg.quaternion_algebra), [1] 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) unpickle_rational_matrix() (in module sage.matroids.unpickling) unpickle_regular_matroid() (in module sage.matroids.unpickling) unpickle_ternary_matrix() (in module sage.matroids.unpickling) unpickle_ternary_matroid() (in module sage.matroids.unpickling) unpickle_v0() (in module sage.modules.vector_complex_double_dense) (in module sage.modules.vector_integer_dense) (in module sage.modules.vector_mod2_dense) (in module sage.modules.vector_modn_dense) (in module sage.modules.vector_rational_dense) (in module sage.modules.vector_real_double_dense) unpickle_v1() (in module sage.modules.vector_complex_double_dense) (in module sage.modules.vector_integer_dense) (in module sage.modules.vector_modn_dense) (in module sage.modules.vector_rational_dense) (in module sage.modules.vector_real_double_dense) unpickle_wrapper() (in module sage.symbolic.function) unpickleFiniteField_ntl_gf2eElement() (in module sage.rings.finite_rings.element_ntl_gf2e) unpickleMethod() (in module sage.misc.fpickle) unpickleModule() (in module sage.misc.fpickle) unprimed() (sage.combinat.shifted_primed_tableau.PrimedEntry method) unramified_outside() (sage.databases.jones.JonesDatabase method) UnramifiedExtensionFieldCappedRelative (class in sage.rings.padics.padic_extension_leaves) UnramifiedExtensionFieldFloatingPoint (class in sage.rings.padics.padic_extension_leaves) UnramifiedExtensionGeneric (class in sage.rings.padics.unramified_extension_generic) UnramifiedExtensionRingCappedAbsolute (class in sage.rings.padics.padic_extension_leaves) UnramifiedExtensionRingCappedRelative (class in sage.rings.padics.padic_extension_leaves) UnramifiedExtensionRingFixedMod (class in sage.rings.padics.padic_extension_leaves) UnramifiedExtensionRingFloatingPoint (class in sage.rings.padics.padic_extension_leaves) UnramifiedPrincipalSeries (class in sage.modular.local_comp.local_comp) unrank() (in module sage.combinat.ranker) (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method) (sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.CartesianProducts.ParentMethods method) (sage.combinat.cartesian_product.CartesianProduct_iters method) (sage.combinat.combinat.CombinatorialClass method) (sage.combinat.combinat.UnionCombinatorialClass method) (sage.combinat.combination.Combinations_set method) (sage.combinat.combination.Combinations_setk method) (sage.combinat.permutation.Permutations_mset method) (sage.combinat.permutation.StandardPermutations_n method) (sage.combinat.subset.Subsets_s method) (sage.combinat.subset.Subsets_sk method) (sage.combinat.subset.SubsetsSorted method) (sage.rings.number_field.galois_group.GaloisGroup_v2 method) (sage.sets.finite_enumerated_set.FiniteEnumeratedSet method) (sage.sets.integer_range.IntegerRangeFinite method) (sage.sets.integer_range.IntegerRangeInfinite method) (sage.sets.non_negative_integers.NonNegativeIntegers method) (sage.sets.primes.Primes method) (sage.sets.set_from_iterator.EnumeratedSetFromIterator method) unrank_from_list() (in module sage.combinat.ranker) unrank_range() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method) (sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method) unreduce() (in module sage.structure.unique_representation) unsaturated_ideal() (sage.sandpiles.sandpile.Sandpile method) unset_base_point() (sage.categories.simplicial_sets.SimplicialSets.Pointed.Finite.ParentMethods method) unset_global() (sage.libs.gap.libgap.Gap method) unset_verbose_files() (in module sage.misc.verbose) unshuffle_iterator() (in module sage.combinat.combinat) UnsignedInfinity (class in sage.rings.infinity) UnsignedInfinityRing_class (class in sage.rings.infinity) unstable() (sage.sandpiles.sandpile.SandpileConfig method) (sage.sandpiles.sandpile.SandpileDivisor method) UntwistedAffineLieAlgebraElement (class in sage.algebras.lie_algebras.lie_algebra_element) unweighted_degree() (sage.rings.polynomial.polydict.ETuple method) unwrap() (sage.combinat.posets.posets.FinitePoset method) UnwrappingMorphism (class in sage.groups.additive_abelian.additive_abelian_wrapper) up() (sage.combinat.partition.Partition method) (sage.combinat.partition_tuple.PartitionTuple method) (sage.combinat.tableau.StandardTableau method) (sage.combinat.tableau_tuple.TableauTuple method) (sage.manifolds.differentiable.tensorfield.TensorField method) up_list() (sage.combinat.partition.Partition method) (sage.combinat.partition_tuple.PartitionTuple method) (sage.combinat.tableau.StandardTableau method) update() (in module sage.rings.polynomial.toy_buchberger) (in module sage.rings.polynomial.toy_d_basis) (sage.algebras.fusion_rings.shm_managers.KSHandler method) (sage.data_structures.bitset.Bitset method) (sage.data_structures.mutable_poset.MutablePoset method) (sage.doctest.parsing.MarkedOutput method) (sage.misc.converting_dict.KeyConvertingDict method) (sage.modular.multiple_zeta.MultizetaValues method) (sage.numerical.interactive_simplex_method.LPAbstractDictionary method) (sage.numerical.interactive_simplex_method.LPDictionary method) (sage.numerical.interactive_simplex_method.LPRevisedDictionary method) (sage.repl.ipython_kernel.install.SageKernelSpec class method) (sage.tensor.modules.tensor_with_indices.TensorWithIndices method) update_annotations() (sage_docbuild.ext.sage_autodoc.AttributeDocumenter method) (sage_docbuild.ext.sage_autodoc.DataDocumenter method) update_basis_extensions() (sage.databases.cubic_hecke_db.CubicHeckeFileCache method) update_content() (sage_docbuild.ext.sage_autodoc.DataDocumenterMixinBase method) (sage_docbuild.ext.sage_autodoc.GenericAliasMixin method) (sage_docbuild.ext.sage_autodoc.NewTypeMixin method) (sage_docbuild.ext.sage_autodoc.TypeVarMixin method) update_db() (sage.graphs.isgci.GraphClasses method) update_digests() (sage.doctest.forker.SageDocTestRunner method) update_graphics() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method) (sage.geometry.hyperbolic_space.hyperbolic_point.HyperbolicPoint method) update_mtimes() (sage_docbuild.builders.ReferenceSubBuilder method) update_ndw_symbols() (in module sage.combinat.nu_dyck_word) update_reduced_basis() (sage.modules.free_module_integer.FreeModule_submodule_with_basis_integer method) update_results() (sage.doctest.forker.SageDocTestRunner method) UpDownPoset() (sage.combinat.posets.poset_examples.Posets static method) upper() (sage.rings.real_arb.RealBall method) (sage.rings.real_interval_absolute.RealIntervalAbsoluteElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.sets.real_set.InternalRealInterval method) upper_binary_tree() (sage.combinat.interval_posets.TamariIntervalPoset method) upper_bound() (sage.algebras.cluster_algebra.ClusterAlgebra method) (sage.manifolds.differentiable.examples.real_line.OpenInterval method) (sage.rings.valuation.augmented_valuation.FiniteAugmentedValuation method) (sage.rings.valuation.augmented_valuation.InfiniteAugmentedValuation method) (sage.rings.valuation.gauss_valuation.GaussValuation_generic method) (sage.rings.valuation.limit_valuation.MacLaneLimitValuation method) (sage.rings.valuation.mapped_valuation.FiniteExtensionFromInfiniteValuation method) (sage.rings.valuation.valuation_space.DiscretePseudoValuationSpace.ElementMethods method) upper_bound_on_elliptic_factors() (sage.modular.ssmod.ssmod.SupersingularModule method) upper_central_series() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method) upper_closed() (sage.sets.real_set.InternalRealInterval method) upper_cluster() (sage.combinat.cluster_complex.ClusterComplexFacet method) upper_cluster_algebra() (sage.algebras.cluster_algebra.ClusterAlgebra method) upper_contains_interval() (sage.combinat.interval_posets.TamariIntervalPoset method) upper_covers() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) (sage.categories.posets.Posets.ParentMethods method) (sage.combinat.posets.posets.FinitePoset method) (sage.data_structures.mutable_poset.MutablePosetShell method) upper_covers_iterator() (sage.combinat.posets.hasse_diagram.HasseDiagram method) (sage.combinat.posets.posets.FinitePoset method) upper_dyck_word() (sage.combinat.interval_posets.TamariIntervalPoset method) upper_field() (sage.rings.real_mpfi.RealIntervalField_class method) upper_heights() (sage.combinat.parallelogram_polyomino.ParallelogramPolyomino method) upper_hook() (sage.combinat.partition.Partition method) upper_hook_lengths() (sage.combinat.partition.Partition method) upper_open() (sage.sets.real_set.InternalRealInterval method) upper_path() (sage.combinat.parallelogram_polyomino.ParallelogramPolyomino method) upper_root_configuration() (sage.combinat.subword_complex.SubwordComplexFacet method) upper_triangular_matrices() (in module sage.algebras.lie_algebras.examples) upper_triangular_matrix() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method) upper_widths() (sage.combinat.parallelogram_polyomino.ParallelogramPolyomino method) UpperChristoffelWord() (sage.combinat.words.word_generators.WordGenerator method) UpperHalfPlane (sage.geometry.hyperbolic_space.hyperbolic_interface.HyperbolicPlane attribute) UpperMechanicalWord() (sage.combinat.words.word_generators.WordGenerator method) upstairs_edges() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method) upstairs_graph() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method) urban_renewals() (sage.combinat.cluster_algebra_quiver.cluster_seed.ClusterSeed method) url() (sage.databases.knotinfo_db.KnotInfoFilename method) (sage.databases.oeis.OEISSequence method) usage() (sage.interfaces.povray.POVRay method) (sage.interfaces.tachyon.TachyonRT method) USAMap() (in module sage.graphs.generators.world_map) (sage.graphs.graph_generators.GraphGenerators static method) use() (sage.interfaces.macaulay2.Macaulay2 method) use_c_vectors() (sage.combinat.cluster_algebra_quiver.cluster_seed.ClusterSeed method) use_d_vectors() (sage.combinat.cluster_algebra_quiver.cluster_seed.ClusterSeed method) use_fpolys() (sage.combinat.cluster_algebra_quiver.cluster_seed.ClusterSeed method) use_g_vectors() (sage.combinat.cluster_algebra_quiver.cluster_seed.ClusterSeed method) use_local_threejs() (sage.repl.ipython_kernel.install.SageKernelSpec method) use_variable() (sage.misc.sage_input.SageInputBuilder method) user_dir() (sage.interfaces.expect.Expect method) user_email() (sage.databases.findstat.FindStat method) user_name() (sage.databases.findstat.FindStat method) user_to_echelon_matrix() (sage.modules.free_module.FreeModule_submodule_with_basis_pid method) uses_ambient_inner_product() (sage.modules.free_module.FreeModule_generic method) usign() (sage.rings.polynomial.real_roots.bernstein_polynomial_factory method) UstimenkoGraph() (in module sage.graphs.generators.distance_regular) (sage.graphs.graph_generators.GraphGenerators static method)
Index – U u (sage.modular.modsym.manin_symbol.ManinSymbol attribute) u() (sage.algebras.hecke_algebras.ariki_koike_algebra.ArikiKoikeAlgebra method) U() (sage.groups.perm_gps.cubegroup.CubeGroup method) u() (sage.modular.local_comp.type_space.TypeSpace method) U() (sage.modular.modform_hecketriangle.hecke_triangle_groups.HeckeTriangleGroup method) U1 (sage.databases.cubic_hecke_db.MarkovTraceModuleBasis attribute) U2 (sage.databases.cubic_hecke_db.MarkovTraceModuleBasis attribute) U3 (sage.databases.cubic_hecke_db.MarkovTraceModuleBasis attribute) U4 (sage.databases.cubic_hecke_db.MarkovTraceModuleBasis attribute) U42Graph216() (in module sage.graphs.generators.smallgraphs) (sage.graphs.graph_generators.GraphGenerators static method) U42Graph540() (in module sage.graphs.generators.smallgraphs) (sage.graphs.graph_generators.GraphGenerators static method) u_u_plus_v_code() (sage.coding.linear_code.AbstractLinearCode method) ubs() (in module sage.schemes.hyperelliptic_curves.invariants) UCF_sqrt_int() (in module sage.rings.universal_cyclotomic_field) UCFtoQQbar (class in sage.rings.universal_cyclotomic_field) Ueberschiebung() (in module sage.schemes.hyperelliptic_curves.invariants) UHP (sage.geometry.hyperbolic_space.hyperbolic_interface.HyperbolicPlane attribute) ulp() (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfr.RealNumber method) ultra_summit_set() (sage.groups.braid.Braid method) umbral_operation() (in module sage.combinat.misc) unapply() (sage.interfaces.giac.GiacElement method) unary_pd (class in sage.rings.polynomial.polynomial_compiled) unbind() (sage.interfaces.gap.Gap_generic method) unbounded_above_closed() (sage.sets.real_set.RealSet static method) unbounded_above_open() (sage.sets.real_set.RealSet static method) unbounded_below_closed() (sage.sets.real_set.RealSet static method) unbounded_below_open() (sage.sets.real_set.RealSet static method) unbounded_map() (sage.combinat.combinatorial_map.CombinatorialMap method) unbounded_regions() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method) uncamelcase() (in module sage.categories.category_with_axiom) uncompactify() (sage.combinat.words.suffix_trees.ImplicitSuffixTree method) undefined() (sage.rings.lazy_series_ring.LazySeriesRing method) UndefSageHelper (class in sage.interfaces.sympy) under() (sage.combinat.binary_tree.BinaryTree method) (sage.combinat.free_dendriform_algebra.FreeDendriformAlgebra method), [1] under_decomposition() (sage.combinat.binary_tree.BinaryTree method) underlying_graph() (in module sage.graphs.tutte_polynomial) underlying_map() (sage.rings.morphism.RingHomomorphism_from_base method) underlying_set() (sage.combinat.subset.Subsets_s method) underscore() (sage.interfaces.macaulay2.Macaulay2Element method) UnderscoreSageMorphism (class in sage.symbolic.ring) undo() (sage.groups.perm_gps.cubegroup.RubiksCube method) unencode() (sage.coding.abstract_code.AbstractCode method) (sage.coding.encoder.Encoder method) unencode_nocheck() (sage.coding.ag_code_decoders.DifferentialAGCodeEncoder method) (sage.coding.ag_code_decoders.EvaluationAGCodeEncoder method) (sage.coding.cyclic_code.CyclicCodePolynomialEncoder method) (sage.coding.cyclic_code.CyclicCodeVectorEncoder method) (sage.coding.encoder.Encoder method) (sage.coding.grs_code.GRSEvaluationPolynomialEncoder method) (sage.coding.parity_check_code.ParityCheckCodeStraightforwardEncoder method) (sage.coding.reed_muller_code.ReedMullerPolynomialEncoder method) unextend_zero() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method) unfill_isogeny_matrix() (in module sage.schemes.elliptic_curves.ell_curve_isogeny) unfix() (sage.stats.hmm.distributions.GaussianMixtureDistribution method) UnflatteningMorphism (class in sage.rings.polynomial.flatten) unhide() (sage.combinat.misc.DoublyLinkedList method) unhold() (sage.symbolic.expression.Expression method) UNICODE() (sage.misc.explain_pickle.PickleExplainer method) unicode_art() (in module sage.typeset.unicode_art) unicode_art_formatter() (sage.repl.rich_output.backend_base.BackendBase method) unicode_subscript() (in module sage.typeset.unicode_art) unicode_superscript() (in module sage.typeset.unicode_art) unicode_symbol (sage.categories.signed_tensor.SignedTensorProductFunctor attribute) (sage.categories.tensor.TensorProductFunctor attribute) UnicodeArt (class in sage.typeset.unicode_art) Uniform() (in module sage.matroids.catalog) uniform() (in module sage.misc.prandom) uniformiser() (sage.rings.padics.local_generic.LocalGeneric method) uniformiser_pow() (sage.rings.padics.local_generic.LocalGeneric method) uniformizer() (sage.categories.discrete_valuation.DiscreteValuationFields.ParentMethods method) (sage.categories.discrete_valuation.DiscreteValuationRings.ParentMethods method) (sage.rings.function_field.function_field_valuation.InducedRationalFunctionFieldValuation_base method) (sage.rings.laurent_series_ring.LaurentSeriesRing method) (sage.rings.lazy_series_ring.LazyLaurentSeriesRing method) (sage.rings.lazy_series_ring.LazyPowerSeriesRing method) (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.number_field.number_field_rel.NumberField_relative method) (sage.rings.padics.eisenstein_extension_generic.EisensteinExtensionGeneric method) (sage.rings.padics.padic_base_generic.pAdicBaseGeneric method) (sage.rings.padics.padic_valuation.pAdicValuation_int method) (sage.rings.padics.padic_valuation.pAdicValuation_padic method) (sage.rings.padics.unramified_extension_generic.UnramifiedExtensionGeneric method) (sage.rings.power_series_ring.PowerSeriesRing_generic method) (sage.rings.puiseux_series_ring.PuiseuxSeriesRing method) (sage.rings.valuation.augmented_valuation.AugmentedValuation_base method) (sage.rings.valuation.gauss_valuation.GaussValuation_generic method) (sage.rings.valuation.limit_valuation.MacLaneLimitValuation method) (sage.rings.valuation.mapped_valuation.MappedValuation_base method) (sage.rings.valuation.scaled_valuation.ScaledValuation_generic method) (sage.rings.valuation.trivial_valuation.TrivialDiscretePseudoValuation_base method) (sage.rings.valuation.valuation_space.DiscretePseudoValuationSpace.ElementMethods method) uniformizer_pow() (sage.rings.padics.eisenstein_extension_generic.EisensteinExtensionGeneric method) (sage.rings.padics.padic_base_generic.pAdicBaseGeneric method) (sage.rings.padics.padic_generic.pAdicGeneric method) (sage.rings.padics.unramified_extension_generic.UnramifiedExtensionGeneric method) UniformNoiseLWE (class in sage.crypto.lwe) UniformPolynomialSampler (class in sage.crypto.lwe) UniformRandomUniform() (sage.graphs.hypergraph_generators.HypergraphGenerators method) UniformSampler (class in sage.crypto.lwe) unify_arguments() (in module sage.plot.misc) (sage.symbolic.callable.CallableSymbolicExpressionFunctor method) unimod_matrices_from_infty() (in module sage.modular.pollack_stevens.manin_map) unimod_matrices_to_infty() (in module sage.modular.pollack_stevens.manin_map) unimod_to_matrices() (sage.modular.pollack_stevens.fund_domain.ManinRelations method) UninitializedGlobalVariableMixin (class in sage_docbuild.ext.sage_autodoc) UninitializedInstanceAttributeMixin (class in sage_docbuild.ext.sage_autodoc) uninstall() (in module sage.repl.inputhook) (sage.repl.rich_output.backend_base.BackendBase method) (sage.repl.rich_output.backend_doctest.BackendDoctest method) union() (in module sage.misc.misc) (sage.combinat.combinat.CombinatorialClass method) (sage.combinat.e_one_star.Patch method) (sage.data_structures.bitset.FrozenBitset method) (sage.data_structures.mutable_poset.MutablePoset method) (sage.databases.sql_db.SQLQuery method) (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method) (sage.geometry.polyhedral_complex.PolyhedralComplex method) (sage.graphs.generic_graph.GenericGraph method) (sage.manifolds.subset.ManifoldSubset method) (sage.matroids.matroid.Matroid method) (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.polynomial.pbori.pbori.BooleSet method) (sage.rings.qqbar.AlgebraicGenerator method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.schemes.curves.curve.Curve_generic method) (sage.schemes.elliptic_curves.height.UnionOfIntervals class method) (sage.schemes.generic.algebraic_scheme.AlgebraicScheme_subscheme method) (sage.schemes.generic.scheme.Scheme method) (sage.sets.disjoint_set.DisjointSet_of_hashables method) (sage.sets.disjoint_set.DisjointSet_of_integers method) (sage.sets.real_set.RealSet method) (sage.sets.set.Set_base method) (sage.sets.set.Set_object_enumerated method) union_as_polyhedron() (sage.geometry.polyhedral_complex.PolyhedralComplex method) union_update() (sage.data_structures.mutable_poset.MutablePoset method) UnionCombinatorialClass (class in sage.combinat.combinat) UnionOfIntervals (class in sage.schemes.elliptic_curves.height) uniq() (in module sage.misc.misc) unique_ceil() (sage.rings.real_mpfi.RealIntervalFieldElement method) unique_floor() (sage.rings.real_mpfi.RealIntervalFieldElement method) unique_integer() (sage.rings.real_mpfi.RealIntervalFieldElement method) unique_name() (sage.plot.plot3d.base.RenderParams method) unique_parent_warnings (sage.structure.debug_options.DebugOptions_class attribute) unique_round() (sage.rings.real_mpfi.RealIntervalFieldElement method) unique_sign() (sage.rings.real_mpfi.RealIntervalFieldElement method) unique_trunc() (sage.rings.real_mpfi.RealIntervalFieldElement method) UniqueFactorizationDomains (class in sage.categories.unique_factorization_domains) UniqueFactorizationDomains.ElementMethods (class in sage.categories.unique_factorization_domains) UniqueFactorizationDomains.ParentMethods (class in sage.categories.unique_factorization_domains) UniqueFactory (class in sage.structure.factory) UniqueFactoryTester (class in sage.structure.test_factory) UniqueRepresentation (class in sage.structure.unique_representation) UniqueSimplicialComplex (class in sage.topology.simplicial_complex_examples) unit() (sage.combinat.root_system.weyl_group.WeylGroup_gens method) (sage.structure.factorization.Factorization method) (sage.symbolic.expression.Expression method) unit_content_primitive() (sage.symbolic.expression.Expression method) unit_derivations_expr() (in module sage.symbolic.units) unit_gens() (sage.modular.dirichlet.DirichletGroup_class method) (sage.modular.local_comp.smoothchar.SmoothCharacterGroupGeneric method) (sage.modular.local_comp.smoothchar.SmoothCharacterGroupQp method) (sage.modular.local_comp.smoothchar.SmoothCharacterGroupRamifiedQuadratic method) (sage.modular.local_comp.smoothchar.SmoothCharacterGroupUnramifiedQuadratic method) (sage.rings.finite_rings.integer_mod_ring.IntegerModRing_generic method) unit_group() (sage.rings.finite_rings.integer_mod_ring.IntegerModRing_generic method) (sage.rings.number_field.number_field.NumberField_generic method) unit_group_exponent() (sage.rings.finite_rings.finite_field_base.FiniteField method) (sage.rings.finite_rings.integer_mod_ring.IntegerModRing_generic method) unit_group_order() (sage.rings.finite_rings.integer_mod_ring.IntegerModRing_generic method) unit_ideal() (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method), [1] (sage.rings.ring.Ring method) unit_part() (sage.rings.padics.padic_capped_absolute_element.CAElement method) (sage.rings.padics.padic_capped_absolute_element.pAdicTemplateElement method) (sage.rings.padics.padic_capped_relative_element.CRElement method) (sage.rings.padics.padic_capped_relative_element.pAdicTemplateElement method) (sage.rings.padics.padic_fixed_mod_element.FMElement method) (sage.rings.padics.padic_fixed_mod_element.pAdicTemplateElement method) (sage.rings.padics.padic_ZZ_pX_CA_element.pAdicZZpXCAElement method) (sage.rings.padics.padic_ZZ_pX_CR_element.pAdicZZpXCRElement method) (sage.rings.padics.padic_ZZ_pX_FM_element.pAdicZZpXFMElement method) unit_quadratic_integer() (sage.interfaces.maxima_abstract.MaximaAbstract method) Unital (sage.categories.associative_algebras.AssociativeAlgebras attribute) (sage.categories.distributive_magmas_and_additive_magmas.DistributiveMagmasAndAdditiveMagmas.AdditiveAssociative.AdditiveCommutative.AdditiveUnital.Associative attribute) (sage.categories.magmatic_algebras.MagmaticAlgebras attribute) (sage.categories.rngs.Rngs attribute) (sage.categories.semigroups.Semigroups attribute) Unital() (sage.categories.category_with_axiom.Blahs.SubcategoryMethods method) (sage.categories.magmas.Magmas.SubcategoryMethods method) Unital_extra_super_categories() (sage.categories.category_with_axiom.Bars method) UnitalAlgebras (class in sage.categories.unital_algebras) UnitalAlgebras.ParentMethods (class in sage.categories.unital_algebras) UnitalAlgebras.WithBasis (class in sage.categories.unital_algebras) UnitalAlgebras.WithBasis.ParentMethods (class in sage.categories.unital_algebras) UnitaryDualPolarGraph() (in module sage.graphs.generators.classical_geometries) (sage.graphs.graph_generators.GraphGenerators static method) UnitaryMatrixGroup_gap (class in sage.groups.matrix_gps.unitary) UnitaryMatrixGroup_generic (class in sage.groups.matrix_gps.unitary) UnitaryPolarGraph() (in module sage.graphs.generators.classical_geometries) (sage.graphs.graph_generators.GraphGenerators static method) UnitCircleGroup (class in sage.groups.misc_gps.argument_groups) UnitCirclePoint (class in sage.groups.misc_gps.argument_groups) UnitDiagramMixin (class in sage.combinat.diagram_algebras), [1] unitdocs() (in module sage.symbolic.units) UnitExpression (class in sage.symbolic.units) UnitGroup (class in sage.rings.number_field.unit_group) Units (class in sage.symbolic.units) units() (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) (sage.schemes.toric.points.NaiveFinitePointEnumerator method) units_mod_ideal() (in module sage.modular.cusps_nf) univar_pd (class in sage.rings.polynomial.polynomial_compiled) univariate_decomposition() (sage.rings.asymptotic.asymptotics_multivariate_generating_functions.FractionWithFactoredDenominator method) univariate_polynomial() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_mpair method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) univariate_ring() (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) UnivariateProduct (class in sage.rings.asymptotic.growth_group_cartesian) universal_commutative_algebra() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) universal_discriminant() (in module sage.rings.polynomial.polynomial_element) universal_enveloping_algebra() (sage.categories.lie_algebras.LieAlgebras.ParentMethods method) universal_extension() (sage.combinat.cluster_algebra_quiver.cluster_seed.ClusterSeed method) universal_polynomials() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) universal_property() (sage.topology.simplicial_set_constructions.PullbackOfSimplicialSets_finite method) (sage.topology.simplicial_set_constructions.PushoutOfSimplicialSets_finite method) UniversalCyclotomicField (class in sage.rings.universal_cyclotomic_field) UniversalCyclotomicFieldElement (class in sage.rings.universal_cyclotomic_field) universe() (sage.geometry.polyhedron.parent.Polyhedra_base method) (sage.groups.additive_abelian.additive_abelian_wrapper.AdditiveAbelianGroupWrapper method) (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) (sage.structure.factorization.Factorization method) (sage.structure.sequence.Sequence_generic method) unknown() (sage.rings.lazy_series_ring.LazySeriesRing method) (sage.rings.padics.generic_nodes.pAdicRelaxedGeneric method) UnknownClass (class in sage.misc.unknown) UnknownError unlabeled_edges() (sage.graphs.tutte_polynomial.Ear method) unlabelled_trees() (sage.combinat.binary_tree.BinaryTrees_all method) (sage.combinat.binary_tree.LabelledBinaryTrees method) (sage.combinat.ordered_tree.LabelledOrderedTrees method) (sage.combinat.ordered_tree.OrderedTrees_all method) (sage.combinat.rooted_tree.LabelledRootedTrees_all method) (sage.combinat.rooted_tree.RootedTrees_all method) unload() (sage.databases.sloane.SloaneEncyclopediaClass method) unmatched_places() (in module sage.combinat.tableau) unordered_tuples() (in module sage.combinat.combinat) UnorderedTuples (class in sage.combinat.tuple) UnorderedTuples_sk (in module sage.combinat.tuple) unoriented (sage.databases.knotinfo_db.dc attribute) unpack_operands() (in module sage.symbolic.expression) unparsed_input_form() (sage.interfaces.axiom.PanAxiomElement method) unpickle() (in module sage.matrix.matrix0) unpickle_all() (in module sage.misc.persist) unpickle_appends() (in module sage.misc.explain_pickle) unpickle_basis_matroid() (in module sage.matroids.unpickling) unpickle_binary_matrix() (in module sage.matroids.unpickling) unpickle_binary_matroid() (in module sage.matroids.unpickling) unpickle_BooleanFunction() (in module sage.crypto.boolean_function) unpickle_BooleanPolynomial() (in module sage.rings.polynomial.pbori.pbori) unpickle_BooleanPolynomial0() (in module sage.rings.polynomial.pbori.pbori) unpickle_BooleanPolynomialRing() (in module sage.rings.polynomial.pbori.pbori) unpickle_build() (in module sage.misc.explain_pickle) unpickle_Cache_givaro() (in module sage.rings.finite_rings.element_givaro) unpickle_cae_v2() (in module sage.rings.padics.padic_capped_absolute_element) unpickle_circuit_closures_matroid() (in module sage.matroids.unpickling) unpickle_Constant() (in module sage.symbolic.constants) unpickle_cre_v2() (in module sage.rings.padics.padic_capped_relative_element) unpickle_discrete_hmm_v0() (in module sage.stats.hmm.hmm) unpickle_discrete_hmm_v1() (in module sage.stats.hmm.hmm) unpickle_dual_matroid() (in module sage.matroids.unpickling) unpickle_extension() (in module sage.misc.explain_pickle) unpickle_FiniteDimensionalAlgebraElement() (in module sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_element) unpickle_FiniteField_ext() (in module sage.rings.finite_rings.finite_field_base) unpickle_FiniteField_givaroElement() (in module sage.rings.finite_rings.element_givaro) unpickle_FiniteField_prm() (in module sage.rings.finite_rings.finite_field_base) unpickle_FiniteFieldElement_pari_ffelt() (in module sage.rings.finite_rings.element_pari_ffelt) unpickle_fme_v2() (in module sage.rings.padics.padic_fixed_mod_element) unpickle_FpT_element() (in module sage.rings.fraction_field_FpT) unpickle_function() (in module sage.misc.fpickle) (in module sage.symbolic.function_factory) unpickle_gaussian_hmm_v0() (in module sage.stats.hmm.chmm) unpickle_gaussian_hmm_v1() (in module sage.stats.hmm.chmm) unpickle_gaussian_mixture_distribution_v1() (in module sage.stats.hmm.distributions) unpickle_gaussian_mixture_hmm_v1() (in module sage.stats.hmm.chmm) unpickle_generic_matrix() (in module sage.matroids.unpickling) unpickle_global() (in module sage.misc.persist) unpickle_graph_backend() (in module sage.graphs.base.graph_backends) unpickle_graphic_matroid() (in module sage.matroids.unpickling) unpickle_GroebnerStrategy0() (in module sage.libs.singular.groebner_strategy) unpickle_instantiate() (in module sage.misc.explain_pickle) unpickle_intlist_v1() (in module sage.stats.intlist) unpickle_linear_matroid() (in module sage.matroids.unpickling) unpickle_map() (in module sage.categories.map) unpickle_matrix_gf2e_dense_v0() (in module sage.matrix.matrix_gf2e_dense) unpickle_matrix_mod2_dense_v2() (in module sage.matrix.matrix_mod2_dense) unpickle_minor_matroid() (in module sage.matroids.unpickling) unpickle_MPolynomial_libsingular() (in module sage.rings.polynomial.multi_polynomial_libsingular) unpickle_MPolynomialRing_generic() (in module sage.rings.polynomial.multi_polynomial_ring_base) unpickle_MPolynomialRing_generic_v1() (in module sage.rings.polynomial.multi_polynomial_ring_base) unpickle_MPolynomialRing_libsingular() (in module sage.rings.polynomial.multi_polynomial_libsingular) unpickle_multi_power_series_ring_v0() (in module sage.rings.multi_power_series_ring) unpickle_NCGroebnerStrategy0() (in module sage.libs.singular.groebner_strategy) unpickle_NCPolynomial_plural() (in module sage.rings.polynomial.plural) unpickle_newobj() (in module sage.misc.explain_pickle) unpickle_pcre_v1() (in module sage.rings.padics.padic_capped_relative_element) unpickle_persistent() (in module sage.misc.explain_pickle) unpickle_plus_minus_one_matrix() (in module sage.matroids.unpickling) unpickle_PolynomialRing() (in module sage.rings.polynomial.polynomial_ring_constructor) unpickle_power_series_ring_v0() (in module sage.rings.power_series_ring) unpickle_quaternary_matrix() (in module sage.matroids.unpickling) unpickle_quaternary_matroid() (in module sage.matroids.unpickling) unpickle_QuaternionAlgebra_v0() (in module sage.algebras.quatalg.quaternion_algebra), [1] 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) unpickle_rational_matrix() (in module sage.matroids.unpickling) unpickle_regular_matroid() (in module sage.matroids.unpickling) unpickle_ternary_matrix() (in module sage.matroids.unpickling) unpickle_ternary_matroid() (in module sage.matroids.unpickling) unpickle_v0() (in module sage.modules.vector_complex_double_dense) (in module sage.modules.vector_integer_dense) (in module sage.modules.vector_mod2_dense) (in module sage.modules.vector_modn_dense) (in module sage.modules.vector_rational_dense) (in module sage.modules.vector_real_double_dense) unpickle_v1() (in module sage.modules.vector_complex_double_dense) (in module sage.modules.vector_integer_dense) (in module sage.modules.vector_modn_dense) (in module sage.modules.vector_rational_dense) (in module sage.modules.vector_real_double_dense) unpickle_wrapper() (in module sage.symbolic.function) unpickleFiniteField_ntl_gf2eElement() (in module sage.rings.finite_rings.element_ntl_gf2e) unpickleMethod() (in module sage.misc.fpickle) unpickleModule() (in module sage.misc.fpickle) unprimed() (sage.combinat.shifted_primed_tableau.PrimedEntry method) unramified_outside() (sage.databases.jones.JonesDatabase method) UnramifiedExtensionFieldCappedRelative (class in sage.rings.padics.padic_extension_leaves) UnramifiedExtensionFieldFloatingPoint (class in sage.rings.padics.padic_extension_leaves) UnramifiedExtensionGeneric (class in sage.rings.padics.unramified_extension_generic) UnramifiedExtensionRingCappedAbsolute (class in sage.rings.padics.padic_extension_leaves) UnramifiedExtensionRingCappedRelative (class in sage.rings.padics.padic_extension_leaves) UnramifiedExtensionRingFixedMod (class in sage.rings.padics.padic_extension_leaves) UnramifiedExtensionRingFloatingPoint (class in sage.rings.padics.padic_extension_leaves) UnramifiedPrincipalSeries (class in sage.modular.local_comp.local_comp) unrank() (in module sage.combinat.ranker) (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method) (sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.CartesianProducts.ParentMethods method) (sage.combinat.cartesian_product.CartesianProduct_iters method) (sage.combinat.combinat.CombinatorialClass method) (sage.combinat.combinat.UnionCombinatorialClass method) (sage.combinat.combination.Combinations_set method) (sage.combinat.combination.Combinations_setk method) (sage.combinat.permutation.Permutations_mset method) (sage.combinat.permutation.StandardPermutations_n method) (sage.combinat.subset.Subsets_s method) (sage.combinat.subset.Subsets_sk method) (sage.combinat.subset.SubsetsSorted method) (sage.rings.number_field.galois_group.GaloisGroup_v2 method) (sage.sets.finite_enumerated_set.FiniteEnumeratedSet method) (sage.sets.integer_range.IntegerRangeFinite method) (sage.sets.integer_range.IntegerRangeInfinite method) (sage.sets.non_negative_integers.NonNegativeIntegers method) (sage.sets.primes.Primes method) (sage.sets.set_from_iterator.EnumeratedSetFromIterator method) unrank_from_list() (in module sage.combinat.ranker) unrank_range() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method) (sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method) unreduce() (in module sage.structure.unique_representation) unsaturated_ideal() (sage.sandpiles.sandpile.Sandpile method) unset_base_point() (sage.categories.simplicial_sets.SimplicialSets.Pointed.Finite.ParentMethods method) unset_global() (sage.libs.gap.libgap.Gap method) unset_verbose_files() (in module sage.misc.verbose) unshuffle_iterator() (in module sage.combinat.combinat) UnsignedInfinity (class in sage.rings.infinity) UnsignedInfinityRing_class (class in sage.rings.infinity) unstable() (sage.sandpiles.sandpile.SandpileConfig method) (sage.sandpiles.sandpile.SandpileDivisor method) UntwistedAffineLieAlgebraElement (class in sage.algebras.lie_algebras.lie_algebra_element) unweighted_degree() (sage.rings.polynomial.polydict.ETuple method) unwrap() (sage.combinat.posets.posets.FinitePoset method) UnwrappingMorphism (class in sage.groups.additive_abelian.additive_abelian_wrapper) up() (sage.combinat.partition.Partition method) (sage.combinat.partition_tuple.PartitionTuple method) (sage.combinat.tableau.StandardTableau method) (sage.combinat.tableau_tuple.TableauTuple method) (sage.manifolds.differentiable.tensorfield.TensorField method) up_list() (sage.combinat.partition.Partition method) (sage.combinat.partition_tuple.PartitionTuple method) (sage.combinat.tableau.StandardTableau method) update() (in module sage.rings.polynomial.toy_buchberger) (in module sage.rings.polynomial.toy_d_basis) (sage.algebras.fusion_rings.shm_managers.KSHandler method) (sage.data_structures.bitset.Bitset method) (sage.data_structures.mutable_poset.MutablePoset method) (sage.doctest.parsing.MarkedOutput method) (sage.misc.converting_dict.KeyConvertingDict method) (sage.modular.multiple_zeta.MultizetaValues method) (sage.numerical.interactive_simplex_method.LPAbstractDictionary method) (sage.numerical.interactive_simplex_method.LPDictionary method) (sage.numerical.interactive_simplex_method.LPRevisedDictionary method) (sage.repl.ipython_kernel.install.SageKernelSpec class method) (sage.tensor.modules.tensor_with_indices.TensorWithIndices method) update_annotations() (sage_docbuild.ext.sage_autodoc.AttributeDocumenter method) (sage_docbuild.ext.sage_autodoc.DataDocumenter method) update_basis_extensions() (sage.databases.cubic_hecke_db.CubicHeckeFileCache method) update_content() (sage_docbuild.ext.sage_autodoc.DataDocumenterMixinBase method) (sage_docbuild.ext.sage_autodoc.GenericAliasMixin method) (sage_docbuild.ext.sage_autodoc.NewTypeMixin method) (sage_docbuild.ext.sage_autodoc.TypeVarMixin method) update_db() (sage.graphs.isgci.GraphClasses method) update_digests() (sage.doctest.forker.SageDocTestRunner method) update_graphics() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method) (sage.geometry.hyperbolic_space.hyperbolic_point.HyperbolicPoint method) update_mtimes() (sage_docbuild.builders.ReferenceSubBuilder method) update_ndw_symbols() (in module sage.combinat.nu_dyck_word) update_reduced_basis() (sage.modules.free_module_integer.FreeModule_submodule_with_basis_integer method) update_results() (sage.doctest.forker.SageDocTestRunner method) UpDownPoset() (sage.combinat.posets.poset_examples.Posets static method) upper() (sage.rings.real_arb.RealBall method) (sage.rings.real_interval_absolute.RealIntervalAbsoluteElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.sets.real_set.InternalRealInterval method) upper_binary_tree() (sage.combinat.interval_posets.TamariIntervalPoset method) upper_bound() (sage.algebras.cluster_algebra.ClusterAlgebra method) (sage.manifolds.differentiable.examples.real_line.OpenInterval method) (sage.rings.valuation.augmented_valuation.FiniteAugmentedValuation method) (sage.rings.valuation.augmented_valuation.InfiniteAugmentedValuation method) (sage.rings.valuation.gauss_valuation.GaussValuation_generic method) (sage.rings.valuation.limit_valuation.MacLaneLimitValuation method) (sage.rings.valuation.mapped_valuation.FiniteExtensionFromInfiniteValuation method) (sage.rings.valuation.valuation_space.DiscretePseudoValuationSpace.ElementMethods method) upper_bound_on_elliptic_factors() (sage.modular.ssmod.ssmod.SupersingularModule method) upper_central_series() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method) upper_closed() (sage.sets.real_set.InternalRealInterval method) upper_cluster() (sage.combinat.cluster_complex.ClusterComplexFacet method) upper_cluster_algebra() (sage.algebras.cluster_algebra.ClusterAlgebra method) upper_contains_interval() (sage.combinat.interval_posets.TamariIntervalPoset method) upper_covers() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) (sage.categories.posets.Posets.ParentMethods method) (sage.combinat.posets.posets.FinitePoset method) (sage.data_structures.mutable_poset.MutablePosetShell method) upper_covers_iterator() (sage.combinat.posets.hasse_diagram.HasseDiagram method) (sage.combinat.posets.posets.FinitePoset method) upper_dyck_word() (sage.combinat.interval_posets.TamariIntervalPoset method) upper_field() (sage.rings.real_mpfi.RealIntervalField_class method) upper_heights() (sage.combinat.parallelogram_polyomino.ParallelogramPolyomino method) upper_hook() (sage.combinat.partition.Partition method) upper_hook_lengths() (sage.combinat.partition.Partition method) upper_open() (sage.sets.real_set.InternalRealInterval method) upper_path() (sage.combinat.parallelogram_polyomino.ParallelogramPolyomino method) upper_root_configuration() (sage.combinat.subword_complex.SubwordComplexFacet method) upper_triangular_matrices() (in module sage.algebras.lie_algebras.examples) upper_triangular_matrix() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method) upper_widths() (sage.combinat.parallelogram_polyomino.ParallelogramPolyomino method) UpperChristoffelWord() (sage.combinat.words.word_generators.WordGenerator method) UpperHalfPlane (sage.geometry.hyperbolic_space.hyperbolic_interface.HyperbolicPlane attribute) UpperMechanicalWord() (sage.combinat.words.word_generators.WordGenerator method) upstairs_edges() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method) upstairs_graph() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method) urban_renewals() (sage.combinat.cluster_algebra_quiver.cluster_seed.ClusterSeed method) url() (sage.databases.knotinfo_db.KnotInfoFilename method) (sage.databases.oeis.OEISSequence method) usage() (sage.interfaces.povray.POVRay method) (sage.interfaces.tachyon.TachyonRT method) USAMap() (in module sage.graphs.generators.world_map) (sage.graphs.graph_generators.GraphGenerators static method) use() (sage.interfaces.macaulay2.Macaulay2 method) use_c_vectors() (sage.combinat.cluster_algebra_quiver.cluster_seed.ClusterSeed method) use_d_vectors() (sage.combinat.cluster_algebra_quiver.cluster_seed.ClusterSeed method) use_fpolys() (sage.combinat.cluster_algebra_quiver.cluster_seed.ClusterSeed method) use_g_vectors() (sage.combinat.cluster_algebra_quiver.cluster_seed.ClusterSeed method) use_local_threejs() (sage.repl.ipython_kernel.install.SageKernelSpec method) use_variable() (sage.misc.sage_input.SageInputBuilder method) user_dir() (sage.interfaces.expect.Expect method) user_email() (sage.databases.findstat.FindStat method) user_name() (sage.databases.findstat.FindStat method) user_to_echelon_matrix() (sage.modules.free_module.FreeModule_submodule_with_basis_pid method) uses_ambient_inner_product() (sage.modules.free_module.FreeModule_generic method) usign() (sage.rings.polynomial.real_roots.bernstein_polynomial_factory method) UstimenkoGraph() (in module sage.graphs.generators.distance_regular) (sage.graphs.graph_generators.GraphGenerators static method)