Index – R

R (class in sage.interfaces.r) r (sage.combinat.finite_state_machine_generators.TransducerGenerators.RecursionRule attribute) (sage.combinat.growth.Rule attribute) (sage.combinat.growth.RuleDomino attribute) R (sage.combinat.ncsf_qsym.ncsf.NonCommutativeSymmetricFunctions attribute) r() (sage.categories.loop_crystals.KirillovReshetikhinCrystals.ParentMethods method) (sage.combinat.crystals.kirillov_reshetikhin.KirillovReshetikhinGenericCrystal method) R() (sage.combinat.kazhdan_lusztig.KazhdanLusztigPolynomial method) r() (sage.combinat.rigged_configurations.kr_tableaux.KirillovReshetikhinTableaux method) (sage.combinat.sine_gordon.SineGordonYsystem method) R() (sage.groups.perm_gps.cubegroup.CubeGroup method) (sage.modular.arithgroup.arithgroup_perm.ArithmeticSubgroup_Permutation_class method) r() (sage.modular.etaproducts.EtaGroupElement method) R10() (in module sage.matroids.database_matroids) R12() (in module sage.matroids.database_matroids) R6() (in module sage.matroids.database_matroids) R8() (in module sage.matroids.database_matroids) R9() (in module sage.matroids.database_matroids) R9A() (in module sage.matroids.database_matroids) R9B() (in module sage.matroids.database_matroids) R_by_sign() (sage.geometry.polyhedron.double_description.DoubleDescriptionPair method) r_console() (in module sage.interfaces.r) R_invariant() (sage.rings.invariants.invariant_theory.BinaryQuintic method) r_matrix() (sage.algebras.fusion_rings.fusion_double.FusionDouble method) (sage.algebras.fusion_rings.fusion_ring.FusionRing method) R_matrix() (sage.algebras.quantum_groups.quantum_group_gap.QuantumGroupModule method) (sage.categories.loop_crystals.KirillovReshetikhinCrystals.ParentMethods method) r_ord() (sage.modular.overconvergent.genus0.OverconvergentModularFormElement method) R_tilde() (sage.combinat.kazhdan_lusztig.KazhdanLusztigPolynomial method) r_version() (in module sage.interfaces.r) racah() (in module sage.functions.wigner) rad() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) rad_as_ball() (sage.rings.real_arb.RealBall method) radical() (in module sage.arith.misc) (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method) (sage.categories.unique_factorization_domains.UniqueFactorizationDomains.ElementMethods method) (sage.modules.with_basis.cell_module.CellModule method) (sage.quivers.representation.QuiverRep_generic method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.structure.factorization.Factorization method) radical_basis() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method) (sage.categories.finite_dimensional_semisimple_algebras_with_basis.FiniteDimensionalSemisimpleAlgebrasWithBasis.ParentMethods method) (sage.categories.semisimple_algebras.SemisimpleAlgebras.ParentMethods method) (sage.modules.with_basis.cell_module.CellModule method) radical_difference_family() (in module sage.combinat.designs.difference_family) radical_difference_set() (in module sage.combinat.designs.difference_family) radical_expression() (sage.rings.qqbar.AlgebraicNumber_base method) radical_value() (sage.structure.factorization.Factorization method) radius() (sage.geometry.polyhedron.base.Polyhedron_base method) (sage.graphs.digraph.DiGraph method) (sage.graphs.graph.Graph method) (sage.manifolds.differentiable.examples.sphere.Sphere method) (sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method) (sage.schemes.berkovich.berkovich_cp_element.Berkovich_Element_Cp method) radius_DHV() (in module sage.graphs.base.boost_graph) (in module sage.graphs.distances_all_pairs) radius_function() (sage.schemes.berkovich.berkovich_cp_element.Berkovich_Element_Cp method) radius_square() (sage.geometry.polyhedron.base.Polyhedron_base method) Radix64StringMonoid (class in sage.monoids.string_monoid) Radix64Strings (in module sage.monoids.string_monoid) rainbow() (in module sage.plot.colors) raise_action_from_words() (sage.combinat.tableau.Tableau method) raise_errors() (sage_docbuild.sphinxbuild.SageSphinxLogger method) ramification_breaks() (sage.rings.number_field.galois_group.GaloisGroup_v2 method) ramification_degree() (sage.rings.number_field.galois_group.GaloisGroupElement method) ramification_group() (sage.rings.number_field.galois_group.GaloisGroup_v2 method) (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) ramification_index() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) (sage.rings.padics.local_generic.LocalGeneric method) (sage.rings.puiseux_series_ring_element.PuiseuxSeries method) ramification_module_decomposition_hurwitz_curve() (sage.groups.perm_gps.permgroup_named.PSL method) ramification_module_decomposition_modular_curve() (sage.groups.perm_gps.permgroup_named.PSL method) Ramification_poly() (sage.dynamics.arithmetic_dynamics.wehlerK3.WehlerK3Surface_ring method) ramification_type() (sage.dynamics.arithmetic_dynamics.projective_ds.DynamicalSystem_projective method) ramified_at() (sage.databases.jones.JonesDatabase method) ramified_primes() (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_ab method), [1] (sage.schemes.elliptic_curves.heegner.RingClassField method) rand_seed() (sage.interfaces.interface.Interface method) randint() (in module sage.misc.prandom) random (sage.doctest.parsing.MarkedOutput attribute) (sage.graphs.graph_generators.GraphGenerators attribute) random() (in module sage.interfaces.phc) (in module sage.misc.prandom) (in module sage.misc.randstate) (sage.databases.cremona.MiniCremonaDatabase method) (sage.graphs.graph_coloring.Test method) (sage.misc.binary_tree.Test method) random_all_graph_colorings() (sage.graphs.graph_coloring.Test method) random_blum_prime() (in module sage.crypto.util) random_boolean_function() (in module sage.crypto.boolean_function) random_cone() (in module sage.geometry.cone) random_deformation() (sage.modules.filtered_vector_space.FilteredVectorSpace_class method) (sage.modules.multi_filtered_vector_space.MultiFilteredVectorSpace_class method) (sage.schemes.toric.sheaf.klyachko.KlyachkoBundle_class method) random_diagonalizable_matrix() (in module sage.matrix.special) random_dictionary() (in module sage.numerical.interactive_simplex_method) random_echelonizable_matrix() (in module sage.matrix.special) random_edge() (sage.graphs.generic_graph.GenericGraph method) random_edge_iterator() (sage.graphs.generic_graph.GenericGraph method) random_element() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method) (sage.algebras.quatalg.quaternion_algebra.QuaternionAlgebra_abstract method), [1] (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method), [1] (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method), [1] (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method) (sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.CartesianProducts.ParentMethods method) (sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method) (sage.categories.infinite_enumerated_sets.InfiniteEnumeratedSets.ParentMethods method) (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method) (sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method) (sage.coding.abstract_code.AbstractCode method) (sage.coding.extended_code.ExtendedCode method) (sage.coding.punctured_code.PuncturedCode method) (sage.combinat.affine_permutation.AffinePermutationGroupGeneric method) (sage.combinat.alternating_sign_matrix.AlternatingSignMatrices method) (sage.combinat.binary_tree.BinaryTrees_size method) (sage.combinat.binary_tree.FullBinaryTrees_size method) (sage.combinat.cartesian_product.CartesianProduct_iters method) (sage.combinat.colored_permutations.ShephardToddFamilyGroup method) (sage.combinat.colored_permutations.SignedPermutations method) (sage.combinat.composition.Compositions_n method) (sage.combinat.constellation.Constellations_ld method) (sage.combinat.derangements.Derangements method) (sage.combinat.dyck_word.CompleteDyckWords_size method) (sage.combinat.gelfand_tsetlin_patterns.GelfandTsetlinPatterns method) (sage.combinat.gelfand_tsetlin_patterns.GelfandTsetlinPatternsTopRow method) (sage.combinat.interval_posets.TamariIntervalPosets_size method) (sage.combinat.multiset_partition_into_sets_ordered.OrderedMultisetPartitionsIntoSets_alph_d method) (sage.combinat.multiset_partition_into_sets_ordered.OrderedMultisetPartitionsIntoSets_n method) (sage.combinat.multiset_partition_into_sets_ordered.OrderedMultisetPartitionsIntoSets_X method) (sage.combinat.non_decreasing_parking_function.NonDecreasingParkingFunctions_n method) (sage.combinat.ordered_tree.OrderedTrees_size method) (sage.combinat.parking_functions.ParkingFunctions_n method) (sage.combinat.partition.Partitions_n method) (sage.combinat.perfect_matching.PerfectMatchings method) (sage.combinat.permutation.Permutations_nk method) (sage.combinat.permutation.Permutations_set method) (sage.combinat.permutation.Permutations_setk method) (sage.combinat.permutation.StandardPermutations_n method) (sage.combinat.plane_partition.PlanePartitions_box method) (sage.combinat.plane_partition.PlanePartitions_CSPP method) (sage.combinat.plane_partition.PlanePartitions_SPP method) (sage.combinat.set_partition.SetPartitions_set method) (sage.combinat.set_partition.SetPartitions_setn method) (sage.combinat.set_partition.SetPartitions_setparts method) (sage.combinat.subset.SubMultiset_s method) (sage.combinat.subset.SubMultiset_sk method) (sage.combinat.subset.Subsets_s method) (sage.combinat.subset.Subsets_sk method) (sage.combinat.subset.SubsetsSorted method) (sage.combinat.subword.Subwords_w method) (sage.combinat.subword.Subwords_wk method) (sage.combinat.tableau.SemistandardTableaux_shape method) (sage.combinat.tableau.SemistandardTableaux_size method) (sage.combinat.tableau.StandardTableaux_shape method) (sage.combinat.tableau.StandardTableaux_size method) (sage.combinat.tableau_tuple.StandardTableauTuples_shape method) (sage.combinat.words.words.FiniteWords method) (sage.combinat.words.words.InfiniteWords method) (sage.combinat.words.words.Words_n method) (sage.crypto.mq.mpolynomialsystemgenerator.MPolynomialSystemGenerator method) (sage.crypto.mq.sr.SR_generic method) (sage.geometry.cone.ConvexRationalPolyhedralCone method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) (sage.geometry.linear_expression.LinearExpressionModule method) (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method) (sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class method) (sage.groups.affine_gps.affine_group.AffineGroup method) (sage.groups.affine_gps.euclidean_group.EuclideanGroup method) (sage.groups.cactus_group.CactusGroup method) (sage.groups.libgap_mixin.GroupMixinLibGAP method) (sage.groups.perm_gps.permgroup.PermutationGroup_generic method) (sage.homology.chain_complex.ChainComplex_class method) (sage.matrix.matrix_space.MatrixSpace method) (sage.modular.arithgroup.arithgroup_perm.ArithmeticSubgroup_Permutation_class method) (sage.modular.arithgroup.congroup_sl2z.SL2Z_class method) (sage.modular.dirichlet.DirichletGroup_class method) (sage.modular.pollack_stevens.distributions.OverconvergentDistributions_abstract method) (sage.modular.pollack_stevens.space.PollackStevensModularSymbolspace method) (sage.modules.fg_pid.fgp_module.FGP_Module_class method) (sage.modules.free_module.FreeModule_ambient method) (sage.modules.free_module.FreeModule_generic method) (sage.numerical.interactive_simplex_method.InteractiveLPProblemStandardForm static method) (sage.numerical.interactive_simplex_method.LPDictionary static method) (sage.quadratic_forms.bqf_class_group.BQFClassGroup method) (sage.rings.complex_double.ComplexDoubleField_class method) (sage.rings.complex_interval_field.ComplexIntervalField_class method) (sage.rings.complex_mpc.MPComplexField_class method) (sage.rings.complex_mpfr.ComplexField_class method) (sage.rings.derivation.RingDerivationModule method) (sage.rings.finite_rings.element_givaro.Cache_givaro method) (sage.rings.finite_rings.finite_field_base.FiniteField method) (sage.rings.finite_rings.finite_field_givaro.FiniteField_givaro method) (sage.rings.finite_rings.integer_mod_ring.IntegerModRing_generic method) (sage.rings.fraction_field.FractionField_generic method), [1] (sage.rings.function_field.function_field_polymod.FunctionField_polymod method) (sage.rings.function_field.function_field_rational.RationalFunctionField method) (sage.rings.ideal.Ideal_generic method) (sage.rings.integer_ring.IntegerRing_class method) (sage.rings.laurent_series_ring.LaurentSeriesRing method) (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.order.Order method) (sage.rings.padics.generic_nodes.pAdicRelaxedGeneric method) (sage.rings.padics.generic_nodes.pAdicRingBaseGeneric method) (sage.rings.padics.padic_base_leaves.pAdicFieldCappedRelative method) (sage.rings.padics.padic_base_leaves.pAdicFieldLattice method) (sage.rings.padics.padic_base_leaves.pAdicRingLattice method) (sage.rings.padics.padic_extension_generic.pAdicExtensionGeneric method) (sage.rings.pari_ring.PariRing method) (sage.rings.polynomial.laurent_polynomial_ring_base.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method) (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) (sage.rings.polynomial.ore_function_field.OreFunctionField method) (sage.rings.polynomial.ore_polynomial_ring.OrePolynomialRing method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomialRing method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) (sage.rings.power_series_ring.PowerSeriesRing_generic method) (sage.rings.qqbar.AlgebraicField method) (sage.rings.qqbar.AlgebraicRealField method) (sage.rings.quotient_ring.QuotientRing_nc method) (sage.rings.rational_field.RationalField method) (sage.rings.real_double.RealDoubleField_class method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfr.RealField_class method) (sage.rings.ring.Ring method) (sage.rings.ring_extension.RingExtension_generic method) (sage.rings.tate_algebra.TateAlgebra_generic method) (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) (sage.sets.finite_enumerated_set.FiniteEnumeratedSet method) (sage.sets.set.Set_object_enumerated method) random_element_of_length() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method) random_element_plancherel() (sage.combinat.partition.Partitions_n method) random_element_uniform() (sage.combinat.partition.Partitions_n method) random_empty_cell() (sage.combinat.matrices.latin.LatinSquare method) random_error_vector() (in module sage.coding.channel) random_expr() (in module sage.symbolic.random_tests) random_expr_helper() (in module sage.symbolic.random_tests) random_fgp_module() (in module sage.modules.fg_pid.fgp_module) random_fgp_morphism_0() (in module sage.modules.fg_pid.fgp_module) random_geodesic() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) random_hecke_operator() (in module sage.modular.abvar.abvar) random_inequalities() (in module sage.geometry.polyhedron.double_description) random_integer_vector() (in module sage.symbolic.random_tests) random_integral_point() (sage.geometry.polyhedron.base2.Polyhedron_base2 method) random_irreducible() (sage.rings.polynomial.ore_polynomial_ring.OrePolynomialRing method) random_isometry() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelUHP method) random_key() (sage.crypto.block_cipher.miniaes.MiniAES method) (sage.crypto.block_cipher.sdes.SimplifiedDES method) (sage.crypto.classical.AffineCryptosystem method) (sage.crypto.classical.HillCryptosystem method) (sage.crypto.classical.ShiftCryptosystem method) (sage.crypto.classical.SubstitutionCryptosystem method) (sage.crypto.classical.TranspositionCryptosystem method) (sage.crypto.classical.VigenereCryptosystem method) (sage.crypto.public_key.blum_goldwasser.BlumGoldwasser method) random_linear_code() (in module sage.coding.code_constructions) random_linear_extension() (sage.combinat.posets.posets.FinitePoset method) random_low_weight_bases() (in module sage.modular.overconvergent.hecke_series) random_matrix() (in module sage.matrix.special) random_maximal_antichain() (sage.combinat.posets.posets.FinitePoset method) random_maximal_chain() (sage.combinat.posets.posets.FinitePoset method) random_md_tree() (in module sage.graphs.graph_decompositions.modular_decomposition) random_new_basis_modp() (in module sage.modular.overconvergent.hecke_series) random_object() (sage.categories.drinfeld_modules.DrinfeldModules method) random_order_ideal() (sage.combinat.posets.posets.FinitePoset method) random_orientation() (in module sage.graphs.orientations) (sage.graphs.graph.Graph method) random_partition_symmetrica() (in module sage.libs.symmetrica.symmetrica) random_point() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelUHP method) (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) random_prime() (in module sage.arith.misc) random_quadraticform() (in module sage.quadratic_forms.random_quadraticform) random_quadraticform_with_conditions() (in module sage.quadratic_forms.random_quadraticform) random_rational_point() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method) random_rref_matrix() (in module sage.matrix.special) random_set() (in module sage.rings.polynomial.pbori.pbori) random_solution() (in module sage.modular.overconvergent.hecke_series) random_spanning_tree() (in module sage.graphs.spanning_tree) (sage.graphs.graph.Graph method) random_state_array() (sage.crypto.mq.sr.SR_generic method) random_subgraph() (sage.graphs.generic_graph.GenericGraph method) random_sublist() (in module sage.misc.misc) random_sublist_of_size() (in module sage.matrix.matrix_integer_dense_saturation) random_subposet() (sage.combinat.posets.posets.FinitePoset method) random_subspaces_matrix() (in module sage.matrix.special) random_ternaryqf() (in module sage.quadratic_forms.random_quadraticform) random_ternaryqf_with_conditions() (in module sage.quadratic_forms.random_quadraticform) random_testing() (in module sage.misc.random_testing) random_tests() (in module sage.groups.perm_gps.partn_ref.refinement_graphs) (in module sage.groups.perm_gps.partn_ref.refinement_matrices) random_unimodular_matrix() (in module sage.matrix.special) random_vector() (in module sage.modules.free_module_element) (sage.crypto.mq.sr.SR_generic method) random_vertex() (sage.graphs.generic_graph.GenericGraph method) random_vertex_iterator() (sage.graphs.generic_graph.GenericGraph method) random_WehlerK3Surface() (in module sage.dynamics.arithmetic_dynamics.wehlerK3) random_worker() (sage.parallel.map_reduce.RESetMapReduce method) RandomBarabasiAlbert() (in module sage.graphs.generators.random) (sage.graphs.graph_generators.GraphGenerators static method) RandomBicubicPlanar() (in module sage.graphs.generators.random) (sage.graphs.graph_generators.GraphGenerators static method) RandomBipartite() (in module sage.graphs.generators.random) (sage.graphs.graph_generators.GraphGenerators static method) RandomBlockGraph() (in module sage.graphs.generators.random) (sage.graphs.graph_generators.GraphGenerators static method) RandomBoundedToleranceGraph() (in module sage.graphs.generators.random) (sage.graphs.graph_generators.GraphGenerators static method) RandomChordalGraph() (in module sage.graphs.generators.random) (sage.graphs.graph_generators.GraphGenerators static method) RandomComplex() (in module sage.topology.simplicial_complex_examples) RandomDirectedAcyclicGraph() (sage.graphs.digraph_generators.DiGraphGenerators method) RandomDirectedGN() (sage.graphs.digraph_generators.DiGraphGenerators method) RandomDirectedGNC() (sage.graphs.digraph_generators.DiGraphGenerators method) RandomDirectedGNM() (sage.graphs.digraph_generators.DiGraphGenerators method) RandomDirectedGNP() (sage.graphs.digraph_generators.DiGraphGenerators method) RandomDirectedGNR() (sage.graphs.digraph_generators.DiGraphGenerators method) RandomGNM() (in module sage.graphs.generators.random) (sage.graphs.graph_generators.GraphGenerators static method) RandomGNP() (in module sage.graphs.generators.random) (in module sage.graphs.graph_generators_pyx) (sage.graphs.graph_generators.GraphGenerators static method) RandomHolmeKim() (in module sage.graphs.generators.random) (sage.graphs.graph_generators.GraphGenerators static method) RandomIntervalGraph() (in module sage.graphs.generators.random) (sage.graphs.graph_generators.GraphGenerators static method) randomize() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_cyclo_dense.Matrix_cyclo_dense method) (sage.matrix.matrix_gf2e_dense.Matrix_gf2e_dense method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_mod2_dense.Matrix_mod2_dense method) (sage.matrix.matrix_modn_dense_double.Matrix_modn_dense_template method) (sage.matrix.matrix_modn_dense_float.Matrix_modn_dense_template method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) randomize_counter (sage.plot.plot3d.base.RenderParams attribute) RandomKTree() (in module sage.graphs.generators.random) (sage.graphs.graph_generators.GraphGenerators static method) RandomLattice() (sage.combinat.posets.poset_examples.Posets static method) RandomLinearCodeGuava() (in module sage.coding.guava) RandomLobster() (in module sage.graphs.generators.random) (sage.graphs.graph_generators.GraphGenerators static method) RandomNewmanWattsStrogatz() (in module sage.graphs.generators.random) (sage.graphs.graph_generators.GraphGenerators static method) RandomPartialKTree() (in module sage.graphs.generators.random) (sage.graphs.graph_generators.GraphGenerators static method) RandomPoset() (sage.combinat.posets.poset_examples.Posets static method) RandomRegular() (in module sage.graphs.generators.random) (sage.graphs.graph_generators.GraphGenerators static method) RandomRegularBipartite() (in module sage.graphs.generators.random) (sage.graphs.graph_generators.GraphGenerators static method) RandomSemiComplete() (sage.graphs.digraph_generators.DiGraphGenerators method) RandomShell() (in module sage.graphs.generators.random) (sage.graphs.graph_generators.GraphGenerators static method) RandomToleranceGraph() (in module sage.graphs.generators.random) (sage.graphs.graph_generators.GraphGenerators static method) RandomTournament() (sage.graphs.digraph_generators.DiGraphGenerators method) RandomTree() (in module sage.graphs.generators.random) (sage.graphs.graph_generators.GraphGenerators static method) RandomTreePowerlaw() (in module sage.graphs.generators.random) (sage.graphs.graph_generators.GraphGenerators static method) RandomTriangulation() (in module sage.graphs.generators.random) (sage.graphs.graph_generators.GraphGenerators static method) RandomTwoSphere() (in module sage.topology.simplicial_complex_examples) RandomUnitDiskGraph() (in module sage.graphs.generators.random) (sage.graphs.graph_generators.GraphGenerators static method) RandomVariable_generic (class in sage.probability.random_variable) RandomWord() (sage.combinat.words.word_generators.WordGenerator method) randrange() (in module sage.misc.prandom) randstate (class in sage.misc.randstate) range() (sage.arith.misc.Moebius method) (sage.rings.integer_ring.IntegerRing_class method) range_by_height() (sage.rings.rational_field.RationalField method) rank (sage.algebras.free_zinbiel_algebra.ZinbielFunctor attribute) (sage.algebras.tensor_algebra.TensorAlgebraFunctor attribute) (sage.categories.pushout.AlgebraicClosureFunctor attribute), [1] (sage.categories.pushout.AlgebraicExtensionFunctor attribute), [1] (sage.categories.pushout.BlackBoxConstructionFunctor attribute), [1] (sage.categories.pushout.CompletionFunctor attribute), [1] (sage.categories.pushout.FractionField attribute), [1] (sage.categories.pushout.IdentityConstructionFunctor attribute), [1] (sage.categories.pushout.InfinitePolynomialFunctor attribute), [1] (sage.categories.pushout.LaurentPolynomialFunctor attribute), [1] (sage.categories.pushout.MatrixFunctor attribute), [1] (sage.categories.pushout.MultiPolynomialFunctor attribute), [1] (sage.categories.pushout.PermutationGroupFunctor attribute), [1] (sage.categories.pushout.PolynomialFunctor attribute), [1] (sage.categories.pushout.QuotientFunctor attribute), [1] (sage.categories.pushout.SubspaceFunctor attribute), [1] (sage.categories.pushout.VectorFunctor attribute), [1] (sage.combinat.free_dendriform_algebra.DendriformFunctor attribute), [1] (sage.combinat.free_prelie_algebra.PreLieFunctor attribute), [1] (sage.combinat.sf.sfa.SymmetricFunctionsFunctor attribute) (sage.modular.modform_hecketriangle.functors.FormsRingFunctor attribute) (sage.modular.modform_hecketriangle.functors.FormsSpaceFunctor attribute) (sage.modular.modform_hecketriangle.functors.FormsSubSpaceFunctor attribute) (sage.rings.asymptotic.asymptotic_ring.AsymptoticRingFunctor attribute) (sage.rings.asymptotic.growth_group.AbstractGrowthGroupFunctor attribute) (sage.rings.function_field.jacobian_base.JacobianGroupFunctor attribute) (sage.symbolic.subring.GenericSymbolicSubringFunctor attribute) rank() (in module sage.combinat.combination) (in module sage.misc.functional) (sage.algebras.cluster_algebra.ClusterAlgebra method) (sage.algebras.free_algebra_quotient.FreeAlgebraQuotient method) (sage.algebras.quantum_clifford.QuantumCliffordAlgebra method) (sage.categories.complex_reflection_groups.ComplexReflectionGroups.ParentMethods method) (sage.categories.enumerated_sets.EnumeratedSets.ElementMethods method) (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method) (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ParentMethods method) (sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.CartesianProducts.ParentMethods method) (sage.combinat.affine_permutation.AffinePermutationGroupGeneric method) (sage.combinat.cluster_algebra_quiver.quiver_mutation_type.QuiverMutationType_abstract method) (sage.combinat.colored_permutations.ShephardToddFamilyGroup method) (sage.combinat.combination.Combinations_set method) (sage.combinat.combination.Combinations_setk method) (sage.combinat.designs.incidence_structures.IncidenceStructure method), [1] (sage.combinat.free_module.CombinatorialFreeModule method) (sage.combinat.growth.RuleBinaryWord method) (sage.combinat.growth.RuleDomino method) (sage.combinat.growth.RuleLLMS method) (sage.combinat.growth.RulePartitions method) (sage.combinat.growth.RuleShiftedShapes method) (sage.combinat.growth.RuleSylvester method) (sage.combinat.growth.RuleYoungFibonacci method) (sage.combinat.integer_vector.IntegerVectors_k method) (sage.combinat.integer_vector.IntegerVectors_n method) (sage.combinat.integer_vector.IntegerVectors_nk method) (sage.combinat.permutation.Permutation method) (sage.combinat.permutation.Permutations_mset method) (sage.combinat.permutation.StandardPermutations_n method) (sage.combinat.posets.hasse_diagram.HasseDiagram method) (sage.combinat.posets.posets.FinitePoset method) (sage.combinat.root_system.cartan_matrix.CartanMatrix method) (sage.combinat.root_system.cartan_type.CartanType_abstract method) (sage.combinat.root_system.cartan_type.CartanType_decorator method) (sage.combinat.root_system.cartan_type.CartanType_standard_affine method) (sage.combinat.root_system.cartan_type.CartanType_standard_finite method) (sage.combinat.root_system.coxeter_matrix.CoxeterMatrix method) (sage.combinat.root_system.coxeter_type.CoxeterType method) (sage.combinat.root_system.coxeter_type.CoxeterTypeFromCartanType method) (sage.combinat.root_system.dynkin_diagram.DynkinDiagram_class method) (sage.combinat.root_system.reflection_group_complex.ComplexReflectionGroup method) (sage.combinat.root_system.type_A_infinity.CartanType method) (sage.combinat.root_system.type_I.CartanType method) (sage.combinat.root_system.type_reducible.CartanType method) (sage.combinat.root_system.weyl_characters.WeylCharacterRing method) (sage.combinat.root_system.weyl_group.WeylGroup_permutation method) (sage.combinat.subset.Subsets_s method) (sage.combinat.subset.Subsets_sk method) (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method) (sage.geometry.toric_lattice.ToricLattice_quotient method) (sage.groups.free_group.FreeGroup_class method) (sage.groups.indexed_free_group.IndexedGroup method) (sage.homology.chain_complex.ChainComplex_class method) (sage.libs.eclib.interface.mwrank_EllipticCurve method) (sage.libs.eclib.interface.mwrank_MordellWeil method) (sage.manifolds.vector_bundle.TopologicalVectorBundle method) (sage.matrix.matrix0.Matrix method) (sage.matrix.matrix_gf2e_dense.Matrix_gf2e_dense method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_integer_sparse.Matrix_integer_sparse method) (sage.matrix.matrix_mod2_dense.Matrix_mod2_dense method) (sage.matrix.matrix_modn_dense_double.Matrix_modn_dense_template method) (sage.matrix.matrix_modn_dense_float.Matrix_modn_dense_template method) (sage.matrix.matrix_modn_sparse.Matrix_modn_sparse method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) (sage.matroids.matroid.Matroid method) (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) (sage.modular.abvar.homology.Homology_abvar method) (sage.modular.abvar.homology.Homology_submodule method) (sage.modular.btquotients.pautomorphicform.BruhatTitsHarmonicCocycles method) (sage.modular.drinfeld_modform.element.DrinfeldModularFormsElement method) (sage.modular.drinfeld_modform.ring.DrinfeldModularForms method) (sage.modular.hecke.algebra.HeckeAlgebra_base method) (sage.modular.hecke.ambient_module.AmbientHeckeModule method) (sage.modular.hecke.module.HeckeModule_generic method) (sage.modular.hecke.submodule.HeckeSubmodule method) (sage.modular.modform.ambient.ModularFormsAmbient method) (sage.modular.modform_hecketriangle.abstract_space.FormsSpace_abstract method) (sage.modular.modform_hecketriangle.subspace.SubSpaceForms method) (sage.modular.modsym.ambient.ModularSymbolsAmbient method) (sage.modular.modsym.boundary.BoundarySpace method) (sage.modular.ssmod.ssmod.SupersingularModule method) (sage.modules.free_module.FreeModule_generic method) (sage.modules.matrix_morphism.MatrixMorphism_abstract method) (sage.quadratic_forms.genera.genus.Genus_Symbol_p_adic_ring method) (sage.quadratic_forms.genera.genus.GenusSymbol_global_ring method) (sage.quivers.morphism.QuiverRepHom method) (sage.rings.function_field.drinfeld_modules.drinfeld_module.DrinfeldModule method) (sage.rings.number_field.order.Order method) (sage.rings.number_field.unit_group.UnitGroup method) (sage.sandpiles.sandpile.SandpileDivisor method) (sage.schemes.elliptic_curves.ec_database.EllipticCurves method) (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) (sage.schemes.toric.sheaf.klyachko.KlyachkoBundle_class method) (sage.sets.finite_enumerated_set.FiniteEnumeratedSet method) (sage.sets.integer_range.IntegerRangeFinite method) (sage.sets.integer_range.IntegerRangeInfinite method) (sage.tensor.modules.finite_rank_free_module.FiniteRankFreeModule_abstract method) rank2_GF() (in module sage.matrix.benchmark) rank2_ZZ() (in module sage.matrix.benchmark) rank_bound() (sage.libs.eclib.interface.mwrank_EllipticCurve method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) rank_bounds() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) rank_by_chi_square() (sage.crypto.classical.AffineCryptosystem method) (sage.crypto.classical.ShiftCryptosystem method) rank_by_squared_differences() (sage.crypto.classical.AffineCryptosystem method) (sage.crypto.classical.ShiftCryptosystem method) rank_decomposition() (in module sage.graphs.graph_decompositions.rankwidth) (sage.graphs.graph.Graph method) rank_distance() (in module sage.coding.linear_rank_metric) rank_distance_between_vectors() (sage.coding.linear_rank_metric.AbstractLinearRankMetricCode method) rank_from_list() (in module sage.combinat.ranker) rank_function() (sage.combinat.posets.hasse_diagram.HasseDiagram method) (sage.combinat.posets.posets.FinitePoset method) rank_GF() (in module sage.matrix.benchmark) rank_weight() (in module sage.coding.linear_rank_metric) rank_weight_of_vector() (sage.coding.linear_rank_metric.AbstractLinearRankMetricCode method) rank_ZZ() (in module sage.matrix.benchmark) RankMatroid (class in sage.matroids.rank_matroid) RankTwoHeisenbergVirasoro (class in sage.algebras.lie_algebras.rank_two_heisenberg_virasoro) RankTwoHeisenbergVirasoro.Element (class in sage.algebras.lie_algebras.rank_two_heisenberg_virasoro) rat() (sage.modular.modform_hecketriangle.graded_ring_element.FormsRingElement method) rat_field() (sage.modular.modform_hecketriangle.abstract_ring.FormsRing_abstract method) rat_interval_cf_list() (in module sage.rings.continued_fraction) rat_term_CIF() (in module sage.schemes.elliptic_curves.height) rate() (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) Rational (class in sage.rings.rational) rational_argument() (sage.rings.qqbar.AlgebraicNumber method) (sage.rings.qqbar.ANExtensionElement method) (sage.rings.qqbar.ANRational method) rational_catalan_number() (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.WellGenerated.Irreducible.ParentMethods method) rational_class_group() (sage.schemes.toric.variety.ToricVariety_field method) rational_cusp_subgroup() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) rational_cuspidal_subgroup() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) rational_diagonal_form() (sage.quadratic_forms.quadratic_form.QuadraticForm method) rational_exact_root() (in module sage.rings.qqbar) rational_expand() (sage.symbolic.expression.Expression method) rational_form() (sage.matrix.matrix2.Matrix method) rational_function_field() (sage.rings.function_field.function_field.FunctionField method) rational_homology() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) rational_kolyvagin_divisor() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method) rational_maps() (sage.schemes.elliptic_curves.ell_curve_isogeny.EllipticCurveIsogeny method) (sage.schemes.elliptic_curves.hom.EllipticCurveHom method) (sage.schemes.elliptic_curves.hom_composite.EllipticCurveHom_composite method) (sage.schemes.elliptic_curves.hom_frobenius.EllipticCurveHom_frobenius method) (sage.schemes.elliptic_curves.hom_scalar.EllipticCurveHom_scalar method) (sage.schemes.elliptic_curves.hom_sum.EllipticCurveHom_sum method) (sage.schemes.elliptic_curves.hom_velusqrt.EllipticCurveHom_velusqrt method) (sage.schemes.elliptic_curves.weierstrass_morphism.WeierstrassIsomorphism method) rational_param_as_tuple() (in module sage.functions.hypergeometric) rational_parameterization() (sage.schemes.curves.affine_curve.AffinePlaneCurve method) (sage.schemes.curves.projective_curve.ProjectivePlaneCurve_field method) rational_part() (sage.modular.abvar.lseries.Lseries_complex method) rational_period_function() (sage.modular.modform_hecketriangle.hecke_triangle_group_element.HeckeTriangleGroupElement method) rational_period_functions() (sage.modular.modform_hecketriangle.hecke_triangle_groups.HeckeTriangleGroup method) rational_period_mapping() (sage.modular.modsym.space.ModularSymbolsSpace method) rational_point() (sage.schemes.curves.closed_point.IntegralAffineCurveClosedPoint method) (sage.schemes.curves.closed_point.IntegralProjectiveCurveClosedPoint method) (sage.schemes.plane_conics.con_field.ProjectiveConic_field method) rational_points() (sage.schemes.affine.affine_space.AffineSpace_generic method) (sage.schemes.curves.affine_curve.AffinePlaneCurve_finite_field method) (sage.schemes.curves.projective_curve.ProjectivePlaneCurve_finite_field method) (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.generic.algebraic_scheme.AlgebraicScheme_quasi method) (sage.schemes.generic.algebraic_scheme.AlgebraicScheme_subscheme method) (sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method) (sage.schemes.product_projective.space.ProductProjectiveSpaces_finite_field method) (sage.schemes.projective.projective_space.ProjectiveSpace_finite_field method) (sage.schemes.projective.projective_space.ProjectiveSpace_rational_field method) rational_points_dictionary() (sage.schemes.projective.projective_space.ProjectiveSpace_finite_field method) rational_points_iterator() (sage.schemes.curves.projective_curve.ProjectivePlaneCurve_finite_field method) rational_power_parts() (in module sage.rings.rational) rational_preimages() (sage.schemes.projective.projective_morphism.SchemeMorphism_polynomial_projective_space_field method) rational_preperiodic_graph() (sage.dynamics.arithmetic_dynamics.projective_ds.DynamicalSystem_projective_field method) rational_recon_int() (sage.rings.fast_arith.arith_int method) rational_recon_longlong() (sage.rings.fast_arith.arith_llong method) rational_reconstruct() (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method) rational_reconstruction() (in module sage.arith.misc) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_integer_sparse.Matrix_integer_sparse method) (sage.rings.finite_rings.integer_mod.IntegerMod_abstract method) (sage.rings.integer.Integer method) (sage.rings.padics.padic_generic_element.pAdicGenericElement method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_quotient_ring_element.PolynomialQuotientRingElement method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method) rational_representative() (sage.quadratic_forms.genera.genus.GenusSymbol_global_ring method) rational_root_bounds() (in module sage.rings.polynomial.real_roots) rational_simplify() (sage.symbolic.expression.Expression method) rational_torsion_order() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) rational_torsion_subgroup() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) rational_type() (in module sage.modular.modform_hecketriangle.constructor) RationalCherednikAlgebra (class in sage.algebras.rational_cherednik_algebra) RationalCuspidalSubgroup (class in sage.modular.abvar.cuspidal_subgroup) RationalCuspSubgroup (class in sage.modular.abvar.cuspidal_subgroup) RationalField (class in sage.rings.rational_field) RationalFunctionField (class in sage.rings.function_field.function_field_rational) RationalFunctionField_char_zero (class in sage.rings.function_field.function_field_rational) RationalFunctionField_global (class in sage.rings.function_field.function_field_rational) RationalFunctionFieldHigherDerivation_global (class in sage.rings.function_field.derivations_polymod) RationalFunctionFieldMappedValuation (class in sage.rings.function_field.valuation) RationalFunctionFieldValuation_base (class in sage.rings.function_field.valuation) RationalHomology (class in sage.modular.abvar.homology) rationalize_series() (sage.modular.modform_hecketriangle.abstract_space.FormsSpace_abstract method) RationalMatrix (class in sage.matroids.lean_matrix) RationalPeriodMapping (class in sage.modular.modsym.space) RationalPolyhedralFan (class in sage.geometry.fan) RationalTorsionSubgroup (class in sage.modular.abvar.torsion_subgroup) ratios() (sage.numerical.interactive_simplex_method.LPAbstractDictionary method) rauzy_fractal_plot() (sage.combinat.words.morphism.WordMorphism method) rauzy_fractal_points() (sage.combinat.words.morphism.WordMorphism method) rauzy_fractal_projection() (sage.combinat.words.morphism.WordMorphism method) rauzy_graph() (sage.combinat.words.finite_word.FiniteWord_class method) raw_entry() (sage.databases.oeis.OEISSequence method) raw_getattr() (in module sage.cpython.getattr) raw_signature() (sage.combinat.crystals.generalized_young_walls.GeneralizedYoungWall method) Ray (class in sage.geometry.polyhedron.representation) RAY (sage.geometry.polyhedron.representation.PolyhedronRepresentation attribute) ray() (sage.geometry.cone.IntegralRayCollection method) ray_class_number() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) ray_generator() (sage.geometry.polyhedron.base0.Polyhedron_base0 method) (sage.geometry.polyhedron.face.PolyhedronFace method) rays() (sage.geometry.cone.IntegralRayCollection method) (sage.geometry.polyhedron.base0.Polyhedron_base0 method) (sage.geometry.polyhedron.face.PolyhedronFace method) (sage.interfaces.four_ti_2.FourTi2 method) (sage.rings.polynomial.groebner_fan.InitialForm method) (sage.rings.polynomial.groebner_fan.PolyhedralFan method) (sage.schemes.toric.points.NaiveFinitePointEnumerator method) rays_list() (sage.geometry.polyhedron.base0.Polyhedron_base0 method) RBIBD_120_8_1() (in module sage.combinat.designs.database) rcf() (sage.combinat.similarity_class_type.SimilarityClassType method) RCHighestWeightElement (class in sage.combinat.rigged_configurations.rigged_configuration_element) RCHWNonSimplyLacedElement (class in sage.combinat.rigged_configurations.rigged_configuration_element) RCNonSimplyLaced (class in sage.combinat.rigged_configurations.rigged_configurations) RCNonSimplyLacedElement (class in sage.combinat.rigged_configurations.rigged_configuration_element) RCrystal (class in sage.combinat.crystals.elementary_crystals) RCrystal.Element (class in sage.combinat.crystals.elementary_crystals) RCToKRTBijection() (in module sage.combinat.rigged_configurations.bijection) RCToKRTBijectionAbstract (class in sage.combinat.rigged_configurations.bij_abstract_class) RCToKRTBijectionTypeA (class in sage.combinat.rigged_configurations.bij_type_A) RCToKRTBijectionTypeA2Dual (class in sage.combinat.rigged_configurations.bij_type_A2_dual) RCToKRTBijectionTypeA2Even (class in sage.combinat.rigged_configurations.bij_type_A2_even) RCToKRTBijectionTypeA2Odd (class in sage.combinat.rigged_configurations.bij_type_A2_odd) RCToKRTBijectionTypeB (class in sage.combinat.rigged_configurations.bij_type_B) RCToKRTBijectionTypeC (class in sage.combinat.rigged_configurations.bij_type_C) RCToKRTBijectionTypeD (class in sage.combinat.rigged_configurations.bij_type_D) RCToKRTBijectionTypeDTri (class in sage.combinat.rigged_configurations.bij_type_D_tri) RCToKRTBijectionTypeDTwisted (class in sage.combinat.rigged_configurations.bij_type_D_twisted) RCToMLTBijectionTypeB (class in sage.combinat.rigged_configurations.bij_infinity) RCToMLTBijectionTypeD (class in sage.combinat.rigged_configurations.bij_infinity) RCTypeA2Dual (class in sage.combinat.rigged_configurations.rigged_configurations) RCTypeA2Even (class in sage.combinat.rigged_configurations.rigged_configurations) read() (sage.databases.cubic_hecke_db.CubicHeckeDataBase method) (sage.databases.cubic_hecke_db.CubicHeckeFileCache method) (sage.databases.knotinfo_db.KnotInfoDataBase method) (sage.interfaces.interface.Interface method) (sage.interfaces.lie.LiE method) (sage.interfaces.r.R method) (sage.sat.solvers.satsolver.SatSolver method) read_all_polytopes() (in module sage.geometry.lattice_polytope) read_basis() (in module sage.databases.cubic_hecke_db) read_braid_image() (sage.databases.cubic_hecke_db.CubicHeckeFileCache method) read_column_dict() (sage.databases.knotinfo_db.KnotInfoDataBase method) read_data() (in module sage.interfaces.read_data) read_irr() (in module sage.databases.cubic_hecke_db) read_markov() (in module sage.databases.cubic_hecke_db) read_matrix() (sage.interfaces.four_ti_2.FourTi2 method) read_matrix_representation() (sage.databases.cubic_hecke_db.CubicHeckeDataBase method) (sage.databases.cubic_hecke_db.CubicHeckeFileCache method) read_messages() (sage.doctest.forker.DocTestWorker method) read_num_knots() (sage.databases.knotinfo_db.KnotInfoDataBase method) read_palp_matrix() (in module sage.geometry.lattice_polytope) read_palp_point_collection() (in module sage.geometry.point_collection) read_regl() (in module sage.databases.cubic_hecke_db) read_regr() (in module sage.databases.cubic_hecke_db) read_row_dict() (sage.databases.knotinfo_db.KnotInfoDataBase method) reading_order() (sage.combinat.sf.ns_macdonald.AugmentedLatticeDiagramFilling method) reading_permutation() (sage.combinat.dyck_word.DyckWord_complete method) reading_tableau() (sage.combinat.partition.Partition method) reading_word() (sage.combinat.sf.ns_macdonald.AugmentedLatticeDiagramFilling method) (sage.combinat.shifted_primed_tableau.CrystalElementShiftedPrimedTableau method) reading_word_permutation() (sage.combinat.tableau.Tableau method) ready() (sage.interfaces.rubik.OptimalSolver method) real() (sage.groups.misc_gps.imaginary_groups.ImaginaryElement method) (sage.interfaces.maxima_abstract.MaximaAbstractElement method) (sage.rings.complex_arb.ComplexBall method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.integer.Integer method) (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_gaussian method) (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_quadratic method) (sage.rings.qqbar.AlgebraicNumber method) (sage.rings.qqbar.AlgebraicReal method) (sage.rings.qqbar.ANDescr method) (sage.rings.rational.Rational method) (sage.rings.real_arb.RealBall method) (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) (sage.rings.universal_cyclotomic_field.UniversalCyclotomicFieldElement method) (sage.symbolic.expression.Expression method) real_components() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) real_double_field() (sage.rings.complex_double.ComplexDoubleField_class method) real_embeddings() (sage.rings.number_field.number_field.NumberField_cyclotomic method) (sage.rings.number_field.number_field.NumberField_generic method) real_exact() (sage.rings.qqbar.AlgebraicReal method) real_field() (sage.rings.complex_interval_field.ComplexIntervalField_class method) real_intersection_is_empty() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method) real_line() (sage.sets.real_set.RealSet static method) real_number() (sage.rings.qqbar.AlgebraicReal method) real_part() (sage.algebras.octonion_algebra.Octonion_generic method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_gaussian method) (sage.rings.universal_cyclotomic_field.UniversalCyclotomicFieldElement method) (sage.symbolic.expression.Expression method) real_period() (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method) real_places() (sage.rings.number_field.number_field.NumberField_absolute method) real_root_intervals() (sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint method) (sage.rings.polynomial.polynomial_integer_dense_ntl.Polynomial_integer_dense_ntl method) (sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method) real_roots() (in module sage.rings.polynomial.real_roots) (sage.rings.polynomial.polynomial_element.Polynomial method) RealBall (class in sage.rings.real_arb) RealBallField (class in sage.rings.abc) (class in sage.rings.real_arb) RealChart (class in sage.manifolds.chart) RealDiffChart (class in sage.manifolds.differentiable.chart) RealDifferentialStructure (class in sage.manifolds.structure) RealDistribution (class in sage.probability.probability_distribution) RealDoubleElement (class in sage.rings.real_double) RealDoubleField (class in sage.rings.abc) RealDoubleField() (in module sage.rings.real_double) RealDoubleField_class (class in sage.rings.real_double) RealDoubleVectorSpace_class (class in sage.modules.free_module) RealField (class in sage.rings.abc) RealField() (in module sage.rings.real_mpfr) RealField_class (class in sage.rings.real_mpfr) RealInterval() (in module sage.rings.real_mpfi) RealIntervalAbsoluteElement (class in sage.rings.real_interval_absolute) RealIntervalAbsoluteField() (in module sage.rings.real_interval_absolute) RealIntervalAbsoluteField_class (class in sage.rings.real_interval_absolute) RealIntervalField (class in sage.rings.abc) RealIntervalField() (in module sage.rings.real_mpfi) RealIntervalField_class (class in sage.rings.real_mpfi) RealIntervalFieldElement (class in sage.rings.real_mpfi) realization_of() (sage.categories.sets_cat.Sets.Realizations.ParentMethods method) Realizations() (in module sage.categories.realizations) (sage.categories.category.Category method) realizations() (sage.categories.sets_cat.Sets.WithRealizations.ParentMethods method) (sage.combinat.sf.k_dual.KBoundedQuotient method) (sage.combinat.sf.new_kschur.KBoundedSubspace method) RealizationsCategory (class in sage.categories.realizations) RealLazyField() (in module sage.rings.real_lazy) RealLazyField_class (class in sage.rings.real_lazy) RealLine (class in sage.manifolds.differentiable.examples.real_line) RealLiteral (class in sage.rings.real_mpfr) realloc() (sage.graphs.base.c_graph.CGraph method) (sage.graphs.base.dense_graph.DenseGraph method) (sage.graphs.base.sparse_graph.SparseGraph method) RealNumber (class in sage.rings.real_mpfr) RealProjectivePlane() (in module sage.topology.simplicial_complex_examples) (sage.topology.cubical_complex.CubicalComplexExamples method) (sage.topology.delta_complex.DeltaComplexExamples method) RealProjectiveSpace() (in module sage.manifolds.catalog) (in module sage.topology.simplicial_complex_examples) (in module sage.topology.simplicial_set_examples) RealReflectionGroup (class in sage.combinat.root_system.reflection_group_real) RealReflectionGroup.Element (class in sage.combinat.root_system.reflection_group_real) RealSet (class in sage.sets.real_set) RealTopologicalStructure (class in sage.manifolds.structure) rearrangement() (in module sage.geometry.cone_catalog) rebuild_node() (in module sage.graphs.cographs) recfields() (sage.interfaces.gap3.GAP3Record method) reciprocal() (sage.quadratic_forms.quadratic_form.QuadraticForm method) (sage.quadratic_forms.ternary_qf.TernaryQF method) reciprocal_reduced() (sage.quadratic_forms.ternary_qf.TernaryQF method) reciprocal_transform() (sage.rings.polynomial.polynomial_element.Polynomial method) RecognizableSeries (class in sage.combinat.recognizable_series) RecognizableSeriesSpace (class in sage.combinat.recognizable_series) recognize_coxeter_type_from_matrix() (in module sage.combinat.root_system.coxeter_matrix) recoils() (sage.combinat.permutation.Permutation method) recoils_composition() (sage.combinat.permutation.Permutation method) recolor() (sage.plot.plot3d.tachyon.Texture method) recommended_B1() (sage.interfaces.ecm.ECM method) recomposition_from_triple() (sage.combinat.interval_posets.TamariIntervalPosets static method) record_exceptions() (sage.structure.coerce.CoercionModel method) record_name_to_index() (sage.libs.gap.element.GapElement_Record method) RecordingDict (class in sage.doctest.util) recover_formula() (in module sage.logic.logicparser) recover_formula_internal() (in module sage.logic.logicparser) recreate_decomposition() (in module sage.graphs.graph_decompositions.modular_decomposition) rectform() (sage.symbolic.expression.Expression method) rectified_one_hundred_twenty_cell() (sage.geometry.polyhedron.library.Polytopes method) rectified_six_hundred_cell() (sage.geometry.polyhedron.library.Polytopes method) rectify() (sage.combinat.path_tableaux.semistandard.SemistandardPathTableau method) (sage.combinat.skew_tableau.SkewTableau method) recur_gen2() (in module sage.combinat.sloane_functions) recur_gen2b() (in module sage.combinat.sloane_functions) recur_gen3() (in module sage.combinat.sloane_functions) recurrence_matrix() (sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method) recurrence_repr() (sage.rings.cfinite_sequence.CFiniteSequence method) RecurrenceParser (class in sage.combinat.regular_sequence) RecurrenceSequence (class in sage.combinat.sloane_functions) RecurrenceSequence2 (class in sage.combinat.sloane_functions) recurrents() (sage.sandpiles.sandpile.Sandpile method) Recursion() (sage.combinat.finite_state_machine_generators.TransducerGenerators method) recursion() (sage.combinat.root_system.hecke_algebra_representation.CherednikOperatorsEigenvectors method) recursive_vector_partitions() (in module sage.combinat.fast_vector_partitions) recursive_within_from_to() (in module sage.combinat.fast_vector_partitions) recursively_insert() (in module sage.rings.polynomial.pbori.pbori) RecursivelyEnumeratedSet() (in module sage.sets.recursively_enumerated_set) RecursivelyEnumeratedSet_forest (class in sage.sets.recursively_enumerated_set) RecursivelyEnumeratedSet_generic (class in sage.sets.recursively_enumerated_set) RecursivelyEnumeratedSet_graded (class in sage.sets.recursively_enumerated_set) RecursivelyEnumeratedSet_symmetric (class in sage.sets.recursively_enumerated_set) recycle() (sage.geometry.polyhedron.parent.Polyhedra_base method) red_betr (sage.interfaces.singular.SingularGBLogPrettyPrinter attribute) red_mfact() (in module sage.quadratic_forms.ternary) red_num (sage.interfaces.singular.SingularGBLogPrettyPrinter attribute) red_para (sage.interfaces.singular.SingularGBLogPrettyPrinter attribute) red_post (sage.interfaces.singular.SingularGBLogPrettyPrinter attribute) red_tail() (in module sage.rings.polynomial.pbori.pbori) red_vertices() (sage.combinat.cluster_algebra_quiver.cluster_seed.ClusterSeed method) red_zero (sage.interfaces.singular.SingularGBLogPrettyPrinter attribute) redirection (class in sage.misc.sage_ostools) reduce() (sage.algebras.clifford_algebra.ExteriorAlgebraIdeal method) (sage.algebras.letterplace.free_algebra_element_letterplace.FreeAlgebraElement_letterplace method) (sage.algebras.letterplace.letterplace_ideal.LetterplaceIdeal method) (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.Subobjects.ParentMethods method) (sage.groups.finitely_presented.RewritingSystem method) (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) REDUCE() (sage.misc.explain_pickle.PickleExplainer method) reduce() (sage.modular.modform_hecketriangle.graded_ring_element.FormsRingElement method) (sage.modular.modform_hecketriangle.hecke_triangle_group_element.HeckeTriangleGroupElement method) (sage.modules.with_basis.subquotient.SubmoduleWithBasis method) (sage.rings.fraction_field_element.FractionFieldElement method), [1] (sage.rings.fraction_field_element.FractionFieldElement_1poly_field method), [1] (sage.rings.function_field.valuation.InducedRationalFunctionFieldValuation_base method) (sage.rings.ideal.Ideal_generic method) (sage.rings.ideal.Ideal_pid method) (sage.rings.number_field.class_group.FractionalIdealClass method) (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) (sage.rings.padics.padic_valuation.pAdicValuation_base method) (sage.rings.padics.padic_valuation.pAdicValuation_padic method) (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_quotient method) (sage.rings.polynomial.multi_polynomial_ideal.NCPolynomialIdeal method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomialIdeal method) (sage.rings.polynomial.plural.NCPolynomial_plural method) (sage.rings.polynomial.symmetric_ideal.SymmetricIdeal method) (sage.rings.polynomial.symmetric_reduction.SymmetricReductionStrategy method) (sage.rings.quotient_ring_element.QuotientRingElement method) (sage.rings.valuation.augmented_valuation.FinalAugmentedValuation method) (sage.rings.valuation.augmented_valuation.NonFinalAugmentedValuation method) (sage.rings.valuation.gauss_valuation.GaussValuation_generic method) (sage.rings.valuation.limit_valuation.LimitValuation_generic method) (sage.rings.valuation.mapped_valuation.MappedValuation_base method) (sage.rings.valuation.scaled_valuation.ScaledValuation_generic method) (sage.rings.valuation.trivial_valuation.TrivialDiscretePseudoValuation method) (sage.rings.valuation.trivial_valuation.TrivialDiscreteValuation method) (sage.rings.valuation.valuation_space.DiscretePseudoValuationSpace.ElementMethods method) (sage.schemes.curves.plane_curve_arrangement.PlaneCurveArrangementElement method) (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method) (sage.schemes.generic.algebraic_scheme.AlgebraicScheme_subscheme method) (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) (sage.structure.formal_sum.FormalSum method) (sage.tensor.modules.tensor_free_submodule.TensorFreeSubmodule_sym method) (sage.topology.simplicial_set.SimplicialSet_arbitrary method) reduce_all() (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer) reduce_base_field() (sage.dynamics.arithmetic_dynamics.affine_ds.DynamicalSystem_affine_field method) (sage.dynamics.arithmetic_dynamics.projective_ds.DynamicalSystem_projective_field method) (sage.schemes.affine.affine_morphism.SchemeMorphism_polynomial_affine_space_field method) (sage.schemes.projective.projective_morphism.SchemeMorphism_polynomial_projective_space_field method) reduce_basis() (sage.modular.etaproducts.EtaGroup_class method) reduce_bins() (in module sage.logic.logic) reduce_code() (in module sage.misc.fpickle) reduce_cusp() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) (sage.modular.arithgroup.congroup_gamma.Gamma_class method) (sage.modular.arithgroup.congroup_gammaH.GammaH_class method) (sage.modular.arithgroup.congroup_sl2z.SL2Z_class method) reduce_data() (sage.rings.number_field.order.AbsoluteOrderFactory method) (sage.structure.factory.UniqueFactory method) reduce_equiv() (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) reduce_fast() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) reduce_function() (sage.parallel.map_reduce.RESetMapReduce method) reduce_hex() (in module sage.doctest.parsing) reduce_init (sage.parallel.map_reduce.RESetParallelIterator attribute) reduce_init() (sage.parallel.map_reduce.RESetMapReduce method) reduce_load() (in module sage.interfaces.mathematica) (in module sage.interfaces.mathics) reduce_load_Axiom() (in module sage.interfaces.axiom) reduce_load_dokchitser() (in module sage.lfunctions.dokchitser) reduce_load_element() (in module sage.interfaces.sage0) reduce_load_fricas() (in module sage.interfaces.fricas) reduce_load_GAP() (in module sage.interfaces.gap) reduce_load_Giac() (in module sage.interfaces.giac) reduce_load_GP() (in module sage.interfaces.gp) reduce_load_Kash() (in module sage.interfaces.kash) reduce_load_lie() (in module sage.interfaces.lie) reduce_load_Lisp() (in module sage.interfaces.lisp) reduce_load_macaulay2() (in module sage.interfaces.macaulay2) reduce_load_Magma() (in module sage.interfaces.magma) reduce_load_Maple() (in module sage.interfaces.maple) reduce_load_Matlab() (in module sage.interfaces.matlab) reduce_load_Maxima() (in module sage.interfaces.maxima) reduce_load_Maxima_function() (in module sage.interfaces.maxima) reduce_load_MaximaAbstract_function() (in module sage.interfaces.maxima_abstract) reduce_load_MaximaLib() (in module sage.interfaces.maxima_lib) reduce_load_mupad() (in module sage.interfaces.mupad) reduce_load_Octave() (in module sage.interfaces.octave) reduce_load_Polymake() (in module sage.interfaces.polymake) reduce_load_R() (in module sage.interfaces.r) reduce_load_Sage() (in module sage.interfaces.sage0) reduce_load_Singular() (in module sage.interfaces.singular) reduce_mod() (sage.schemes.elliptic_curves.heegner.HeegnerPoints_level method) reduce_mod_q() (in module sage.schemes.elliptic_curves.saturation) reduce_monos() (in module sage.logic.logic) reduce_neg_y() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) reduce_neg_y_fast() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) reduce_neg_y_faster() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) reduce_negative() (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer) reduce_op() (sage.logic.boolformula.BooleanFormula method) reduce_over_period_lattice() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method) reduce_pos_y() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) reduce_pos_y_fast() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) reduce_positive() (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer) reduce_precision() (sage.modular.pollack_stevens.manin_map.ManinMap method) (sage.modular.pollack_stevens.modsym.PSModularSymbolElement_dist method) reduce_tau() (in module sage.schemes.elliptic_curves.period_lattice) reduce_to() (sage.modular.modform_hecketriangle.analytic_type.AnalyticTypeElement method) reduce_to_cusp() (sage.modular.arithgroup.farey_symbol.Farey method) reduce_to_irr_block() (sage.algebras.hecke_algebras.cubic_hecke_matrix_rep.CubicHeckeMatrixRep method) reduce_trig() (sage.symbolic.expression.Expression method) reduce_type() (sage.modular.modform_hecketriangle.abstract_ring.FormsRing_abstract method) reduce_zero() (in module sage.schemes.hyperelliptic_curves.monsky_washnitzer) reduced() (sage.geometry.ribbon_graph.RibbonGraph method) (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_gf2 method) reduced_adjacency_matrix() (sage.graphs.bipartite_graph.BipartiteGraph method) reduced_affine() (sage.geometry.triangulation.base.Point method) reduced_affine_vector() (sage.geometry.triangulation.base.Point method) reduced_affine_vector_space() (sage.geometry.triangulation.base.PointConfiguration_base method) reduced_basis (sage.modules.free_module_integer.FreeModule_submodule_with_basis_integer property) reduced_basis() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method), [1] (sage.rings.number_field.number_field.NumberField_generic method) reduced_binary_form() (sage.quadratic_forms.quadratic_form.QuadraticForm method) reduced_binary_form1() (sage.quadratic_forms.quadratic_form.QuadraticForm method) reduced_characteristic_polynomial() (sage.algebras.quatalg.quaternion_algebra_element.QuaternionAlgebraElement_abstract method) reduced_charpoly() (sage.rings.polynomial.skew_polynomial_finite_order.SkewPolynomial_finite_order_dense method) reduced_column_word() (sage.combinat.tableau.Tableau method) (sage.combinat.tableau_tuple.TableauTuple method) reduced_echelon_matrix_iterator() (in module sage.matrix.echelon_matrix) reduced_elements() (sage.modular.modform_hecketriangle.hecke_triangle_group_element.HeckeTriangleGroupElement method) (sage.modular.modform_hecketriangle.hecke_triangle_groups.HeckeTriangleGroup method) reduced_form() (sage.combinat.crystals.infinity_crystals.InfinityCrystalOfTableaux.Element method) (sage.dynamics.arithmetic_dynamics.projective_ds.DynamicalSystem_projective method) (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) (sage.quadratic_forms.binary_qf.BinaryQF method) (sage.rings.polynomial.multi_polynomial.MPolynomial method) reduced_form_eisenstein() (sage.quadratic_forms.ternary_qf.TernaryQF method) reduced_gram_matrix() (sage.rings.number_field.number_field.NumberField_generic method) reduced_groebner_bases() (sage.rings.polynomial.groebner_fan.GroebnerFan method) reduced_kronecker_product() (sage.combinat.sf.sfa.SymmetricFunctionAlgebra_generic_Element method) reduced_lambda_catabolism() (sage.combinat.tableau.Tableau method) reduced_laplacian() (sage.sandpiles.sandpile.Sandpile method) reduced_norm() (sage.algebras.quatalg.quaternion_algebra_element.QuaternionAlgebraElement_abstract method) (sage.algebras.quatalg.quaternion_algebra_element.QuaternionAlgebraElement_rational_field method) (sage.rings.polynomial.ore_function_element.OreFunction_with_large_center method) (sage.rings.polynomial.skew_polynomial_finite_order.SkewPolynomial_finite_order_dense method) reduced_normal_form() (sage.rings.polynomial.pbori.pbori.ReductionStrategy method) reduced_parent() (sage.modular.modform_hecketriangle.graded_ring_element.FormsRingElement method) reduced_projective() (sage.geometry.triangulation.base.Point method) reduced_projective_vector() (sage.geometry.triangulation.base.Point method) reduced_projective_vector_space() (sage.geometry.triangulation.base.PointConfiguration_base method) reduced_quadratic_form() (sage.schemes.elliptic_curves.heegner.HeegnerPointOnX0N method) reduced_rauzy_graph() (sage.combinat.words.finite_word.FiniteWord_class method) reduced_row_word() (sage.combinat.tableau.Tableau method) (sage.combinat.tableau_tuple.TableauTuple method) reduced_subalgebra() (sage.combinat.posets.incidence_algebras.IncidenceAlgebra method), [1] reduced_ternary_form__Dickson() (sage.quadratic_forms.quadratic_form.QuadraticForm method) reduced_trace() (sage.algebras.quatalg.quaternion_algebra_element.QuaternionAlgebraElement_abstract method) (sage.algebras.quatalg.quaternion_algebra_element.QuaternionAlgebraElement_rational_field method) (sage.rings.polynomial.ore_function_element.OreFunction_with_large_center method) (sage.rings.polynomial.skew_polynomial_finite_order.SkewPolynomial_finite_order_dense method) reduced_tree_decomposition() (in module sage.graphs.graph_decompositions.tree_decomposition) reduced_word() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) (sage.combinat.affine_permutation.AffinePermutation method) (sage.combinat.colored_permutations.ColoredPermutation method) (sage.combinat.permutation.Permutation method) (sage.combinat.root_system.fundamental_group.FundamentalGroupGL method) (sage.combinat.root_system.fundamental_group.FundamentalGroupOfExtendedAffineWeylGroup_Class method) (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ElementMethods method) (sage.groups.braid.RightQuantumWord method) (sage.monoids.automatic_semigroup.AutomaticSemigroup.Element method) reduced_word_graph() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) reduced_word_lexmin() (sage.combinat.permutation.Permutation method) reduced_word_of_alcove_morphism() (sage.combinat.root_system.weight_lattice_realizations.WeightLatticeRealizations.ParentMethods method) reduced_word_of_translation() (sage.combinat.root_system.weight_lattice_realizations.WeightLatticeRealizations.ParentMethods method) reduced_word_reverse_iterator() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) reduced_words() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) (sage.combinat.permutation.Permutation method) reduced_words_iter() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) reduced_words_iterator() (sage.combinat.permutation.Permutation method) ReducedConeOfSimplicialSet (class in sage.topology.simplicial_set_constructions) ReducedConeOfSimplicialSet_finite (class in sage.topology.simplicial_set_constructions) ReducedGroebnerBasis (class in sage.rings.polynomial.groebner_fan) ReducedIncidenceAlgebra (class in sage.combinat.posets.incidence_algebras), [1] ReducedIncidenceAlgebra.Element (class in sage.combinat.posets.incidence_algebras), [1] reducible_by() (sage.rings.polynomial.pbori.pbori.BooleanMonomial method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) reducible_primes() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method) (sage.schemes.elliptic_curves.gal_reps_number_field.GaloisRepresentation method) reducible_primes_Billerey() (in module sage.schemes.elliptic_curves.gal_reps_number_field) reducible_primes_naive() (in module sage.schemes.elliptic_curves.gal_reps_number_field) reduction() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) reduction_map() (sage.rings.finite_rings.residue_field.ResidueField_generic method) reduction_step_complex_case() (in module sage.rings.number_field.S_unit_solver) reduction_strategy (sage.rings.polynomial.pbori.pbori.GroebnerStrategy attribute) ReductionData (class in sage.interfaces.genus2reduction) ReductionMap (class in sage.rings.finite_rings.residue_field) ReductionStrategy (class in sage.rings.polynomial.pbori.pbori) redundancy_matrix() (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) ReedMullerCode() (in module sage.coding.reed_muller_code) ReedMullerPolynomialEncoder (class in sage.coding.reed_muller_code) ReedMullerVectorEncoder (class in sage.coding.reed_muller_code) ReedSolomonCode() (in module sage.coding.grs_code) rees_product() (sage.combinat.posets.posets.FinitePoset method) ReferenceBuilder (class in sage_docbuild.builders) references() (sage.databases.findstat.FindStatFunction method) (sage.databases.oeis.OEISSequence method) references_raw() (sage.databases.findstat.FindStatFunction method) ReferenceSubBuilder (class in sage_docbuild.builders) ReferenceTopBuilder (class in sage_docbuild.builders) refine() (sage.rings.polynomial.real_roots.island method) (sage.schemes.elliptic_curves.period_lattice_region.PeriodicRegion method) refine_all() (sage.rings.polynomial.real_roots.ocean method) refine_category_hash_check (sage.structure.debug_options.DebugOptions_class attribute) refine_embedding() (in module sage.rings.number_field.number_field) refine_interval() (sage.rings.qqbar.ANRoot method) refine_recurse() (sage.rings.polynomial.real_roots.island method) refine_root() (in module sage.rings.polynomial.refine_root) refinement_splitting() (sage.combinat.composition.Composition method) refinement_splitting_lengths() (sage.combinat.composition.Composition method) refinements() (sage.combinat.set_partition.SetPartition method) reflect() (sage.combinat.parallelogram_polyomino.ParallelogramPolyomino method) reflect_step() (sage.combinat.crystals.littelmann_path.CrystalOfLSPaths.Element method) reflection() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method) (sage.combinat.root_system.ambient_space.AmbientSpace method) (sage.combinat.root_system.reflection_group_complex.ComplexReflectionGroup method) (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ElementMethods method) (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) (sage.groups.affine_gps.affine_group.AffineGroup method) reflection_automorphism() (sage.algebras.askey_wilson.AskeyWilsonAlgebra method) reflection_character() (sage.combinat.root_system.reflection_group_complex.ComplexReflectionGroup method) reflection_eigenvalues() (sage.combinat.root_system.reflection_group_complex.ComplexReflectionGroup method) reflection_eigenvalues_family() (sage.combinat.root_system.reflection_group_complex.ComplexReflectionGroup method) reflection_group() (sage.combinat.root_system.cartan_matrix.CartanMatrix method) reflection_hyperplane() (sage.combinat.root_system.plot.PlotOptions method) (sage.combinat.root_system.reflection_group_complex.ComplexReflectionGroup method) reflection_hyperplanes() (sage.combinat.root_system.reflection_group_complex.ComplexReflectionGroup method) reflection_index_set() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method) (sage.combinat.affine_permutation.AffinePermutationGroupGeneric method) (sage.combinat.root_system.reflection_group_complex.ComplexReflectionGroup method) (sage.combinat.root_system.weyl_group.WeylGroup_permutation method) reflection_involution() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method) (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicUHP method) reflection_length() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ElementMethods method) (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method) (sage.categories.finite_complex_reflection_groups.FiniteComplexReflectionGroups.ElementMethods method) (sage.combinat.root_system.reflection_group_complex.ComplexReflectionGroup.Element method) reflection_representation() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method) reflection_to_coroot() (sage.categories.weyl_groups.WeylGroups.ElementMethods method) reflection_to_positive_root() (sage.combinat.root_system.reflection_group_real.RealReflectionGroup method) reflection_to_root() (sage.categories.weyl_groups.WeylGroups.ElementMethods method) ReflectionGroup() (in module sage.combinat.root_system.reflection_group_real) ReflectionRepresentation (class in sage.modules.with_basis.representation) reflections() (sage.categories.complex_reflection_or_generalized_coxeter_groups.ComplexReflectionOrGeneralizedCoxeterGroups.ParentMethods method) (sage.combinat.root_system.reflection_group_complex.ComplexReflectionGroup method) (sage.combinat.root_system.weyl_group.WeylGroup_gens method) (sage.combinat.root_system.weyl_group.WeylGroup_permutation method) (sage.groups.matrix_gps.coxeter_group.CoxeterMatrixGroup method) (sage.groups.perm_gps.permgroup_named.SymmetricGroup method) reflections_from_w0() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method) Reflexive4dHodge (class in sage.geometry.polyhedron.palp_database) ReflexiveModule_abstract (class in sage.tensor.modules.reflexive_module) ReflexiveModule_base (class in sage.tensor.modules.reflexive_module) ReflexiveModule_dual (class in sage.tensor.modules.reflexive_module) ReflexiveModule_tensor (class in sage.tensor.modules.reflexive_module) ReflexivePolytope() (in module sage.geometry.lattice_polytope) ReflexivePolytopes() (in module sage.geometry.lattice_polytope) regenerated() (sage.combinat.regular_sequence.RegularSequence method) Regev (class in sage.crypto.lwe) regexp() (in module sage.databases.sql_db) region (sage.plot.plot3d.implicit_surface.ImplicitSurface attribute) (sage.plot.plot3d.implicit_surface.MarchingCubes attribute) region() (sage.rings.polynomial.real_roots.interval_bernstein_polynomial method) (sage.rings.polynomial.real_roots.rr_gap method) region_containing_point() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method) region_plot() (in module sage.plot.contour_plot) region_width() (sage.rings.polynomial.real_roots.interval_bernstein_polynomial method) regions() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method) (sage.geometry.voronoi_diagram.VoronoiDiagram method) (sage.knots.link.Link method) register_action() (sage.structure.parent.Parent method) register_all() (sage.repl.interface_magic.InterfaceMagic class method) register_as_coercion() (sage.categories.morphism.Morphism method) register_as_conversion() (sage.categories.morphism.Morphism method) register_coercion() (sage.structure.parent.Parent method) register_conversion() (sage.structure.parent.Parent method) register_embedding() (sage.structure.parent.Parent method) register_factory_unpickle() (in module sage.structure.factory) register_interface_magics() (sage.repl.ipython_extension.SageCustomizations method) register_isomorphism() (sage.combinat.sf.sf.SymmetricFunctions method) register_name() (sage.misc.sage_input.SageInputFormatter method) register_or_update_function() (in module sage.symbolic.expression) register_ring_hom() (in module sage.algebras.hecke_algebras.cubic_hecke_base_ring) register_spawned_process() (in module sage.interfaces.quit) register_unpickle_override() (in module sage.misc.persist) registered (sage.repl.ipython_extension.SageMagics attribute) RegressiveCovariantConstructionCategory (class in sage.categories.covariant_functorial_construction) regular_homfly_polynomial() (sage.databases.cubic_hecke_db.MarkovTraceModuleBasis method) regular_kauffman_polynomial() (sage.databases.cubic_hecke_db.MarkovTraceModuleBasis method) regular_left (sage.databases.cubic_hecke_db.CubicHeckeDataSection attribute) regular_matroid() (sage.matroids.graphic_matroid.GraphicMatroid method) regular_polygon() (sage.geometry.polyhedron.library.Polytopes method) regular_representation() (sage.categories.semigroups.Semigroups.Algebras.ParentMethods method) (sage.categories.semigroups.Semigroups.ParentMethods method) regular_right (sage.databases.cubic_hecke_db.CubicHeckeDataSection attribute) regular_symmetric_hadamard_matrix_with_constant_diagonal() (in module sage.combinat.matrices.hadamard_matrix) regular_vector_fields() (in module sage.algebras.lie_algebras.examples) RegularCrystals (class in sage.categories.regular_crystals) RegularCrystals.ElementMethods (class in sage.categories.regular_crystals) RegularCrystals.MorphismMethods (class in sage.categories.regular_crystals) RegularCrystals.ParentMethods (class in sage.categories.regular_crystals) RegularCrystals.TensorProducts (class in sage.categories.regular_crystals) regularise() (sage.modular.multiple_zeta.All_iterated.Element method) RegularLeft (sage.algebras.hecke_algebras.cubic_hecke_matrix_rep.RepresentationType attribute) RegularLoopCrystals (class in sage.categories.loop_crystals) RegularLoopCrystals.ElementMethods (class in sage.categories.loop_crystals) RegularMatroid (class in sage.matroids.linear_matroid) RegularPartitions (class in sage.combinat.partition) RegularPartitions_all (class in sage.combinat.partition) RegularPartitions_bounded (class in sage.combinat.partition) RegularPartitions_n (class in sage.combinat.partition) RegularPartitions_truncated (class in sage.combinat.partition) RegularPartitionTuples (class in sage.combinat.partition_tuple) RegularPartitionTuples_all (class in sage.combinat.partition_tuple) RegularPartitionTuples_level (class in sage.combinat.partition_tuple) RegularPartitionTuples_level_size (class in sage.combinat.partition_tuple) RegularPartitionTuples_size (class in sage.combinat.partition_tuple) RegularRepresentation (class in sage.modules.with_basis.representation) RegularRight (sage.algebras.hecke_algebras.cubic_hecke_matrix_rep.RepresentationType attribute) RegularSequence (class in sage.combinat.regular_sequence) RegularSequenceRing (class in sage.combinat.regular_sequence) RegularSuperCrystals (class in sage.categories.regular_supercrystals) RegularSuperCrystals.ElementMethods (class in sage.categories.regular_supercrystals) RegularSuperCrystals.TensorProducts (class in sage.categories.regular_supercrystals) regulator() (in module sage.misc.functional) (sage.libs.eclib.interface.mwrank_EllipticCurve method) (sage.libs.eclib.interface.mwrank_MordellWeil method) (sage.rings.number_field.number_field.NumberField_generic method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) regulator_of_points() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) reinitialize() (sage.combinat.matrices.dancing_links.dancing_linksWrapper method) rel_tol (sage.doctest.parsing.MarkedOutput attribute) relabel() (sage.combinat.cluster_algebra_quiver.quiver.ClusterQuiver method) (sage.combinat.constellation.Constellation_class method) (sage.combinat.designs.incidence_structures.IncidenceStructure method), [1] (sage.combinat.posets.posets.FinitePoset method) (sage.combinat.root_system.cartan_matrix.CartanMatrix method) (sage.combinat.root_system.cartan_type.CartanType_abstract method) (sage.combinat.root_system.coxeter_matrix.CoxeterMatrix method) (sage.combinat.root_system.coxeter_type.CoxeterTypeFromCartanType method) (sage.combinat.root_system.dynkin_diagram.DynkinDiagram_class method) (sage.combinat.root_system.type_marked.CartanType method) (sage.combinat.root_system.type_super_A.CartanType method) (sage.graphs.base.c_graph.CGraphBackend method) (sage.graphs.base.graph_backends.GenericGraphBackend method) (sage.graphs.base.static_sparse_backend.StaticSparseBackend method) (sage.graphs.generic_graph.GenericGraph method) (sage.matroids.basis_matroid.BasisMatroid method) (sage.matroids.circuit_closures_matroid.CircuitClosuresMatroid method) (sage.matroids.circuits_matroid.CircuitsMatroid method) (sage.matroids.dual_matroid.DualMatroid method) (sage.matroids.flats_matroid.FlatsMatroid method) (sage.matroids.graphic_matroid.GraphicMatroid method) (sage.matroids.linear_matroid.BinaryMatroid method) (sage.matroids.linear_matroid.LinearMatroid method) (sage.matroids.linear_matroid.QuaternaryMatroid method) (sage.matroids.linear_matroid.RegularMatroid method) (sage.matroids.linear_matroid.TernaryMatroid method) (sage.matroids.matroid.Matroid method) (sage.modular.arithgroup.arithgroup_perm.ArithmeticSubgroup_Permutation_class method) relabel_edges() (sage.combinat.yang_baxter_graph.YangBaxterGraph_generic method) relabel_heuristic() (sage.combinat.designs.subhypergraph_search.SubHypergraphSearch method) relabel_system() (in module sage.combinat.designs.steiner_quadruple_systems) relabel_tree() (in module sage.graphs.graph_decompositions.modular_decomposition) relabel_vertices() (sage.combinat.yang_baxter_graph.YangBaxterGraph_generic method) (sage.combinat.yang_baxter_graph.YangBaxterGraph_partition method) relabeled() (sage.combinat.finite_state_machine.FiniteStateMachine method) (sage.combinat.finite_state_machine.FSMState method) relation() (sage.modules.fp_graded.module.FPModule method) (sage.symbolic.expression_conversions.Converter method) (sage.symbolic.expression_conversions.ExpressionTreeWalker method) (sage.symbolic.expression_conversions.FastCallableConverter method) (sage.symbolic.expression_conversions.InterfaceInit method) (sage.symbolic.expression_conversions.PolynomialConverter method) relation_gens() (sage.schemes.toric.chow_group.ChowGroup_class method) relation_matrix_wtk_g0() (in module sage.modular.modsym.relation_matrix) relations() (sage.combinat.posets.posets.FinitePoset method) (sage.groups.abelian_gps.abelian_group_gap.AbelianGroupQuotient_gap method) (sage.groups.finitely_presented.FinitelyPresentedGroup method) (sage.modular.pollack_stevens.fund_domain.PollackStevensModularDomain method) (sage.modules.fg_pid.fgp_module.FGP_Module_class method) (sage.modules.fp_graded.free_module.FreeGradedModule method) (sage.modules.fp_graded.module.FPModule method) (sage.modules.free_module.FreeModule_generic method) (sage.modules.free_module.FreeModule_submodule_with_basis_pid method) (sage.modules.quotient_module.FreeModule_ambient_field_quotient method) (sage.modules.quotient_module.QuotientModule_free_ambient method) (sage.modules.submodule.Submodule_free_ambient method) (sage.rings.polynomial.plural.NCPolynomialRing_plural method) relations_iterator() (sage.combinat.posets.posets.FinitePoset method) relations_matrix() (sage.modules.free_module.Module_free_ambient method) relations_number() (sage.combinat.posets.posets.FinitePoset method) relative_boundary_cells() (sage.geometry.polyhedral_complex.PolyhedralComplex method) relative_bounds() (in module sage.rings.polynomial.real_roots) relative_degree() (sage.rings.function_field.place_polymod.FunctionFieldPlace_polymod method) (sage.rings.number_field.number_field.NumberField_absolute method) (sage.rings.number_field.number_field_rel.NumberField_relative method) (sage.rings.padics.local_generic.LocalGeneric method) (sage.rings.ring_extension.RingExtension_generic method) relative_diameter() (sage.rings.real_mpfi.RealIntervalFieldElement method) relative_difference_set_from_homomorphism() (in module sage.combinat.designs.difference_family) relative_difference_set_from_m_sequence() (in module sage.combinat.designs.difference_family) relative_different() (sage.rings.number_field.number_field.NumberField_absolute method) (sage.rings.number_field.number_field_rel.NumberField_relative method) relative_discriminant() (sage.rings.number_field.number_field.NumberField_absolute method) (sage.rings.number_field.number_field_rel.NumberField_relative method) (sage.rings.rational_field.RationalField method) relative_distance() (sage.coding.linear_code.AbstractLinearCode method) relative_e() (sage.rings.padics.local_generic.LocalGeneric method) relative_error() (sage.rings.asymptotic.asymptotics_multivariate_generating_functions.FractionWithFactoredDenominator method) relative_f() (sage.rings.padics.local_generic.LocalGeneric method) relative_inertia_degree() (sage.rings.padics.local_generic.LocalGeneric method) relative_interior() (sage.geometry.cone.ConvexRationalPolyhedralCone method) (sage.geometry.convex_set.ConvexSet_base method) (sage.geometry.polyhedron.base1.Polyhedron_base1 method) (sage.geometry.relative_interior.RelativeInterior method) relative_interior_contains() (sage.geometry.cone.ConvexRationalPolyhedralCone method) (sage.geometry.polyhedron.base1.Polyhedron_base1 method) relative_interior_point() (sage.rings.polynomial.groebner_fan.PolyhedralCone method) relative_norm() (sage.rings.number_field.number_field_element.NumberFieldElement method) (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) (sage.rings.rational.Rational method) relative_order_from_ring_generators() (in module sage.rings.number_field.order) relative_orthogonal_quotient() (sage.geometry.cone.ConvexRationalPolyhedralCone method) relative_polynomial() (sage.rings.number_field.number_field.NumberField_absolute method) (sage.rings.number_field.number_field_rel.NumberField_relative method) relative_quotient() (sage.geometry.cone.ConvexRationalPolyhedralCone method) relative_ramification_index() (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) (sage.rings.padics.local_generic.LocalGeneric method) relative_star_generators() (sage.geometry.fan_morphism.FanMorphism method) relative_vector_space() (sage.rings.number_field.number_field.NumberField_absolute method) (sage.rings.number_field.number_field_rel.NumberField_relative method) RelativeFromAbsolute (class in sage.rings.number_field.structure) RelativeFromRelative (class in sage.rings.number_field.structure) RelativeInterior (class in sage.geometry.relative_interior) RelativeNumberFieldHomomorphism_from_abs (class in sage.rings.number_field.morphism) RelativeNumberFieldHomset (class in sage.rings.number_field.homset) RelativeOrderFactory (class in sage.rings.number_field.order) relativize() (sage.rings.number_field.number_field.NumberField_absolute method) (sage.rings.number_field.number_field_rel.NumberField_relative method) RelaxedNonFano() (in module sage.matroids.database_matroids) RElement (class in sage.interfaces.r) reload_attached_files_if_modified() (in module sage.repl.attach) remainders() (sage.rings.generic.ProductTree method) remote_version (sage.misc.package.PackageInfo attribute) RemoteException RemoteExceptionWrapper (class in sage_docbuild.utils) removable_cells() (sage.combinat.partition.Partition method) (sage.combinat.partition_tuple.PartitionTuple method) removable_cells_residue() (sage.combinat.partition.Partition method) remove() (sage.data_structures.bitset.Bitset method) (sage.data_structures.mutable_poset.MutablePoset method) (sage.structure.list_clone.ClonableList method) (sage.structure.sequence.Sequence_generic method) remove_cell() (sage.combinat.partition.Partition method) (sage.combinat.partition_tuple.PartitionTuple method) (sage.combinat.rigged_configurations.rigged_partition.RiggedPartition method) (sage.geometry.polyhedral_complex.PolyhedralComplex method) remove_constants() (in module sage.interfaces.tides) remove_constraint() (sage.numerical.backends.generic_backend.GenericBackend method) (sage.numerical.backends.glpk_backend.GLPKBackend method) (sage.numerical.backends.interactivelp_backend.InteractiveLPBackend method) (sage.numerical.backends.logging_backend.LoggingBackend method) (sage.numerical.mip.MixedIntegerLinearProgram method) remove_constraints() (sage.numerical.backends.generic_backend.GenericBackend method) (sage.numerical.backends.glpk_backend.GLPKBackend method) (sage.numerical.backends.logging_backend.LoggingBackend method) (sage.numerical.mip.MixedIntegerLinearProgram method) remove_epsilon_transitions() (sage.combinat.finite_state_machine.FiniteStateMachine method) remove_extra_fixed_points() (sage.combinat.permutation.Permutation method) remove_face() (sage.topology.simplicial_complex.SimplicialComplex method) remove_faces() (sage.topology.simplicial_complex.SimplicialComplex method) remove_horizontal_border_strip() (sage.combinat.partition.Partition method) remove_loops() (sage.graphs.generic_graph.GenericGraph method) (sage.knots.link.Link method) remove_multiple_edges() (sage.graphs.generic_graph.GenericGraph method) remove_output_labels() (in module sage.interfaces.macaulay2) remove_repeated() (in module sage.interfaces.tides) remove_var() (sage.rings.multi_power_series_ring.MPowerSeriesRing_generic method) (sage.rings.polynomial.laurent_polynomial_ring_base.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomialRing method) remove_zeros() (sage.rings.polynomial.polydict.PolyDict method) removed_edge() (in module sage.graphs.tutte_polynomial) removed_from() (sage.graphs.tutte_polynomial.Ear method) removed_loops() (in module sage.graphs.tutte_polynomial) removed_multiedge() (in module sage.graphs.tutte_polynomial) rename() (sage.numerical.backends.logging_backend.LoggingBackend method) (sage.structure.sage_object.SageObject method) rename_keyword (class in sage.misc.decorators) rename_latex() (sage.topology.simplicial_set.SimplicialSet_arbitrary method) rename_table() (sage.databases.sql_db.SQLDatabase method) rename_vertex() (in module sage.topology.simplicial_complex) render() (sage.rings.polynomial.groebner_fan.GroebnerFan method) render3d() (sage.rings.polynomial.groebner_fan.GroebnerFan method) render_0d() (sage.geometry.polyhedron.plot.Projection method) render_1d() (sage.geometry.polyhedron.plot.Projection method) render_2d() (sage.geometry.polyhedron.plot.Projection method) render_3d() (sage.geometry.polyhedron.plot.Projection method) render_dimacs() (sage.sat.solvers.dimacs.DIMACS static method) render_fill_2d() (sage.geometry.polyhedron.plot.Projection method) render_implicit() (in module sage.plot.plot3d.implicit_surface) render_line_1d() (sage.geometry.polyhedron.plot.Projection method) render_outline_2d() (sage.geometry.polyhedron.plot.Projection method) render_points_1d() (sage.geometry.polyhedron.plot.Projection method) render_points_2d() (sage.geometry.polyhedron.plot.Projection method) render_solid() (sage.geometry.polyhedron.base6.Polyhedron_base6 method) render_solid_3d() (sage.geometry.polyhedron.plot.Projection method) render_vertices_3d() (sage.geometry.polyhedron.plot.Projection method) render_wireframe() (sage.geometry.polyhedron.base6.Polyhedron_base6 method) render_wireframe_3d() (sage.geometry.polyhedron.plot.Projection method) RenderParams (class in sage.plot.plot3d.base) reorder() (sage.schemes.elliptic_curves.isogeny_class.IsogenyClass_EC method) reorder_sets() (in module sage.graphs.pq_trees) reorder_vertices() (sage.sandpiles.sandpile.Sandpile method) reorient() (sage.combinat.cluster_algebra_quiver.cluster_seed.ClusterSeed method) (sage.combinat.cluster_algebra_quiver.quiver.ClusterQuiver method) repaint() (sage.combinat.e_one_star.Patch method) reparameterize_differential_minpoly() (in module sage.schemes.riemann_surfaces.riemann_surface) repelling_fixed_point() (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometry method) (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometryUHP method) replace_dyck_char() (in module sage.combinat.nu_dyck_word) replace_dyck_symbol() (in module sage.combinat.nu_dyck_word) replace_parens() (in module sage.combinat.dyck_word) replace_prime() (sage.arith.multi_modular.MutableMultiModularBasis method) replace_symbols() (in module sage.combinat.dyck_word) report() (in module sage.matrix.benchmark) (sage.doctest.reporting.DocTestReporter method) report_failure() (sage.doctest.forker.SageDocTestRunner method) report_GF() (in module sage.matrix.benchmark) report_head() (sage.doctest.reporting.DocTestReporter method) report_overtime() (sage.doctest.forker.SageDocTestRunner method) report_start() (sage.doctest.forker.SageDocTestRunner method) report_success() (sage.doctest.forker.SageDocTestRunner method) report_unexpected_exception() (sage.doctest.forker.SageDocTestRunner method) report_ZZ() (in module sage.matrix.benchmark) repr (sage.rings.finite_rings.element_givaro.Cache_givaro attribute) repr() (sage.data_structures.mutable_poset.MutablePoset method) repr2d() (sage.groups.perm_gps.cubegroup.CubeGroup method) repr_element_method() (sage.monoids.automatic_semigroup.AutomaticSemigroup method) repr_factored() (in module sage.algebras.weyl_algebra) repr_from_monomials() (in module sage.algebras.weyl_algebra) repr_full() (sage.data_structures.mutable_poset.MutablePoset method) repr_gen() (sage.rings.padics.padic_printing.pAdicPrinter_class method) repr_lincomb() (in module sage.misc.latex) (in module sage.misc.repr) repr_long() (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) repr_op() (in module sage.rings.asymptotic.misc) repr_pretty() (in module sage.geometry.polyhedron.representation) (sage.geometry.polyhedron.representation.Hrepresentation method) repr_short_to_parent() (in module sage.rings.asymptotic.misc) repr_type (sage.algebras.hecke_algebras.cubic_hecke_algebra.CubicHeckeAlgebra attribute) Representation (class in sage.modules.with_basis.representation) representation() (sage.categories.lie_algebras.LieAlgebras.ParentMethods method) (sage.categories.semigroups.Semigroups.Algebras.ParentMethods method) (sage.categories.semigroups.Semigroups.ParentMethods method) (sage.combinat.k_tableau.WeakTableau_abstract method) (sage.combinat.k_tableau.WeakTableaux_abstract method) (sage.matroids.linear_matroid.LinearMatroid method) (sage.quivers.path_semigroup.PathSemigroup method) Representation_abstract (class in sage.algebras.lie_algebras.representation) (class in sage.modules.with_basis.representation) Representation_abstract.Element (class in sage.modules.with_basis.representation) Representation_Exterior (class in sage.modules.with_basis.representation) Representation_ExteriorAlgebra (class in sage.modules.with_basis.representation) representation_matrix() (sage.algebras.lie_algebras.representation.Representation_abstract method) (sage.combinat.diagram_algebras.PottsRepresentation method), [1] (sage.combinat.symmetric_group_representations.SpechtRepresentation method) (sage.combinat.symmetric_group_representations.YoungRepresentation_generic method) (sage.modules.with_basis.representation.Representation_abstract method) representation_matrix_for_simple_transposition() (sage.combinat.symmetric_group_representations.YoungRepresentation_generic method) representation_number_list() (sage.quadratic_forms.quadratic_form.QuadraticForm method) Representation_Symmetric (class in sage.modules.with_basis.representation) Representation_Tensor (class in sage.modules.with_basis.representation) Representation_Tensor.Element (class in sage.modules.with_basis.representation) representation_vector_list() (sage.quadratic_forms.quadratic_form.QuadraticForm method) representation_vectors() (sage.matroids.linear_matroid.LinearMatroid method) RepresentationByMorphism (class in sage.algebras.lie_algebras.representation) RepresentationByMorphism.Element (class in sage.algebras.lie_algebras.representation) RepresentationType (class in sage.algebras.hecke_algebras.cubic_hecke_matrix_rep) representative() (sage.algebras.commutative_dga.CohomologyClass method) (sage.groups.conjugacy_classes.ConjugacyClass method) (sage.manifolds.differentiable.characteristic_cohomology_class.CharacteristicCohomologyClassRingElement method) (sage.manifolds.differentiable.de_rham_cohomology.DeRhamCohomologyClass method) (sage.quadratic_forms.genera.genus.GenusSymbol_global_ring method) representative_action() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method) representative_point() (sage.geometry.convex_set.ConvexSet_base method) (sage.geometry.polyhedron.base1.Polyhedron_base1 method) (sage.geometry.relative_interior.RelativeInterior method) representative_prime() (sage.rings.number_field.class_group.FractionalIdealClass method) representatives() (sage.quadratic_forms.genera.genus.GenusSymbol_global_ring method) (sage.schemes.affine.affine_morphism.SchemeMorphism_polynomial_affine_subscheme_field method) (sage.schemes.projective.projective_morphism.SchemeMorphism_polynomial_projective_subscheme_field method) reproducible_repr() (in module sage.doctest.fixtures) reps() (sage.modular.pollack_stevens.fund_domain.PollackStevensModularDomain method) reps_with_three_torsion() (sage.modular.pollack_stevens.fund_domain.ManinRelations method) reps_with_two_torsion() (sage.modular.pollack_stevens.fund_domain.ManinRelations method) request_wolfram_alpha() (in module sage.interfaces.mathematica) require() (sage.features.Feature method) (sage.interfaces.r.R method) require_field (in module sage.rings.polynomial.multi_polynomial_ideal) require_immutable() (in module sage.structure.mutability) require_mutable() (in module sage.structure.mutability) require_version() (in module sage.misc.banner) required_laurent_prec() (sage.modular.modform_hecketriangle.abstract_space.FormsSpace_abstract method) required_methods() (sage.categories.category.Category method) RequireField (class in sage.rings.polynomial.multi_polynomial_ideal) res() (sage.rings.polynomial.multi_polynomial_ideal.NCPolynomialIdeal method) rescale() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) rescale_col() (sage.matrix.matrix0.Matrix method) rescale_row() (sage.matrix.matrix0.Matrix method) rescaling_log_generators() (sage.schemes.toric.points.FiniteFieldPointEnumerator method) rescalings() (sage.schemes.toric.points.NaiveFinitePointEnumerator method) reset() (in module sage.misc.reset) (in module sage.repl.attach) (sage.databases.findstat.FindStatFunction method) (sage.dynamics.cellular_automata.solitons.SolitonCellularAutomata method) (sage.geometry.polyhedron.combinatorial_polyhedron.face_iterator.FaceIterator_base method) (sage.geometry.polyhedron.combinatorial_polyhedron.face_iterator.FaceIterator_geom method) (sage.manifolds.calculus_method.CalculusMethod method) (sage.misc.parser.Tokenizer method) (sage.modular.multiple_zeta.MultizetaValues method) (sage.parallel.parallelism.Parallelism method) (sage.rings.polynomial.symmetric_reduction.SymmetricReductionStrategy method) reset_cache() (sage.structure.coerce.CoercionModel method) reset_cluster() (sage.combinat.cluster_algebra_quiver.cluster_seed.ClusterSeed method) reset_coefficients() (sage.combinat.cluster_algebra_quiver.cluster_seed.ClusterSeed method) reset_current_seed() (sage.algebras.cluster_algebra.ClusterAlgebra method) reset_default() (sage.libs.singular.option.LibSingularOptions method) (sage.libs.singular.option.LibSingularVerboseOptions method) reset_dictionaries() (sage.rings.padics.pow_computer_ext.PowComputer_ZZ_pX_big method) reset_distribution() (sage.probability.probability_distribution.GeneralDiscreteDistribution method) (sage.probability.probability_distribution.RealDistribution method) (sage.probability.probability_distribution.SphericalDistribution method) reset_exploring_iterator() (sage.algebras.cluster_algebra.ClusterAlgebra method) reset_filecache() (sage.algebras.hecke_algebras.cubic_hecke_algebra.CubicHeckeAlgebra method) reset_info() (sage.graphs.cographs.CoTree method) reset_interfaces() (in module sage.misc.reset) reset_library() (sage.databases.cubic_hecke_db.CubicHeckeFileCache method) reset_load_attach_path() (in module sage.repl.attach) reset_name() (sage.numerical.backends.logging_backend.LoggingBackend method) (sage.structure.sage_object.SageObject method) reset_options() (in module sage.geometry.toric_plotter) reset_root_width() (sage.rings.polynomial.real_roots.island method) (sage.rings.polynomial.real_roots.ocean method) RESetMapReduce (class in sage.parallel.map_reduce) RESetMapReduceWorker (class in sage.parallel.map_reduce) RESetMPExample (class in sage.parallel.map_reduce) RESetParallelIterator (class in sage.parallel.map_reduce) reshape() (in module sage.plot.plot) residue() (sage.combinat.partition.Partition method) (sage.combinat.tableau.Tableau method) (sage.combinat.tableau_tuple.TableauTuple method) (sage.rings.function_field.differential.FunctionFieldDifferential method) (sage.rings.laurent_series_ring_element.LaurentSeries method) (sage.rings.padics.padic_capped_absolute_element.pAdicCappedAbsoluteElement method) (sage.rings.padics.padic_capped_absolute_element.pAdicTemplateElement method) (sage.rings.padics.padic_capped_relative_element.pAdicCappedRelativeElement method) (sage.rings.padics.padic_capped_relative_element.pAdicTemplateElement method) (sage.rings.padics.padic_ext_element.pAdicExtElement method) (sage.rings.padics.padic_fixed_mod_element.pAdicFixedModElement method) (sage.rings.padics.padic_fixed_mod_element.pAdicTemplateElement method) (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) (sage.symbolic.expression.Expression method) residue_characteristic() (sage.rings.padics.local_generic.LocalGeneric method) (sage.rings.padics.padic_generic.pAdicGeneric method) (sage.schemes.berkovich.berkovich_space.Berkovich_Cp method) residue_class_degree() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) (sage.rings.polynomial.ideal.Ideal_1poly_field method) residue_class_field() (sage.rings.padics.eisenstein_extension_generic.EisensteinExtensionGeneric method) (sage.rings.padics.padic_generic.pAdicGeneric method) (sage.rings.padics.unramified_extension_generic.UnramifiedExtensionGeneric method) residue_disc() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method) residue_field() (sage.categories.discrete_valuation.DiscreteValuationFields.ParentMethods method) (sage.categories.discrete_valuation.DiscreteValuationRings.ParentMethods method) (sage.rings.function_field.function_field_polymod.FunctionField_simple method) (sage.rings.function_field.function_field_rational.RationalFunctionField method) (sage.rings.function_field.place_polymod.FunctionFieldPlace_polymod method) (sage.rings.function_field.place_rational.FunctionFieldPlace_rational method) (sage.rings.function_field.valuation_ring.FunctionFieldValuationRing method) (sage.rings.ideal.Ideal_pid method) (sage.rings.integer_ring.IntegerRing_class 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_ideal.NumberFieldFractionalIdeal method) (sage.rings.number_field.order.Order method) (sage.rings.padics.padic_generic.pAdicGeneric method) (sage.rings.polynomial.ideal.Ideal_1poly_field method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_dense_mod_n method) (sage.rings.power_series_ring.PowerSeriesRing_generic method) (sage.rings.puiseux_series_ring.PuiseuxSeriesRing method) (sage.rings.rational_field.RationalField method) (sage.rings.valuation.valuation_space.DiscretePseudoValuationSpace.ElementMethods method) residue_ring() (sage.rings.function_field.valuation.InducedRationalFunctionFieldValuation_base method) (sage.rings.function_field.valuation.NonClassicalRationalFunctionFieldValuation method) (sage.rings.padics.eisenstein_extension_generic.EisensteinExtensionGeneric method) (sage.rings.padics.padic_generic.pAdicGeneric 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.valuation.augmented_valuation.FinalAugmentedValuation method) (sage.rings.valuation.augmented_valuation.NonFinalAugmentedValuation 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 method) (sage.rings.valuation.trivial_valuation.TrivialDiscreteValuation method) (sage.rings.valuation.valuation_space.DiscretePseudoValuationSpace.ElementMethods method) residue_sequence() (sage.combinat.tableau.Tableau method) (sage.combinat.tableau_tuple.RowStandardTableauTuple method) (sage.combinat.tableau_tuple.RowStandardTableauTuples_residue method) residue_symbol() (sage.rings.number_field.number_field_element.NumberFieldElement method) (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) residue_system() (sage.rings.padics.padic_generic.pAdicGeneric method) ResidueField_generic (class in sage.rings.finite_rings.residue_field) ResidueFieldFactory (class in sage.rings.finite_rings.residue_field) ResidueFieldHomomorphism_global (class in sage.rings.finite_rings.residue_field) ResidueFiniteField_prime_modn (class in sage.rings.finite_rings.residue_field) ResidueLiftingMap (class in sage.rings.padics.padic_generic) ResidueReductionMap (class in sage.rings.padics.padic_generic) residues() (sage.combinat.tableau_residues.ResidueSequence method) (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) residues_of_entries() (sage.combinat.k_tableau.WeakTableau_core method) ResidueSequence (class in sage.combinat.tableau_residues) ResidueSequences (class in sage.combinat.tableau_residues) resiliency_order() (sage.crypto.boolean_function.BooleanFunction method) resize() (in module sage.algebras.fusion_rings.poly_tup_engine) Resolution (class in sage.libs.singular.function) resolution (sage.features.FeatureNotPresentError property) (sage.features.FeatureTestResult property) resolution() (sage.features.Feature method) (sage.modules.fp_graded.free_module.FreeGradedModule method) (sage.modules.fp_graded.module.FPModule method) (sage.modules.fp_graded.steenrod.module.SteenrodFPModule method) (sage.sandpiles.sandpile.Sandpile method) resolution_of_singularities() (sage.schemes.curves.affine_curve.AffineCurve_field method) resolvable_balanced_incomplete_block_design() (in module sage.combinat.designs.resolvable_bibd) resolve() (sage.schemes.toric.fano_variety.CPRFanoToricVariety_field method) (sage.schemes.toric.variety.ToricVariety_field method) resolve_name() (sage_docbuild.ext.sage_autodoc.ClassLevelDocumenter method) (sage_docbuild.ext.sage_autodoc.Documenter method) (sage_docbuild.ext.sage_autodoc.ModuleDocumenter method) (sage_docbuild.ext.sage_autodoc.ModuleLevelDocumenter method) resolve_to_orbifold() (sage.schemes.toric.variety.ToricVariety_field method) restart() (sage.interfaces.macaulay2.Macaulay2 method) restore() (in module sage.misc.reset) restore_atexit (class in sage.cpython.atexit) restore_cwd() (in module sage.misc.sage_ostools) restore_op_wrapper() (in module sage.symbolic.expression) restrict() (sage.combinat.k_tableau.StrongTableau method) (sage.combinat.matrices.dancing_links.dancing_linksWrapper method) (sage.combinat.shifted_primed_tableau.ShiftedPrimedTableau method) (sage.combinat.skew_tableau.SkewTableau method) (sage.combinat.tableau.Tableau method) (sage.combinat.tableau_residues.ResidueSequence method) (sage.combinat.tableau_tuple.StandardTableauTuple method) (sage.combinat.tableau_tuple.TableauTuple method) (sage.groups.class_function.ClassFunction_gap method) (sage.groups.class_function.ClassFunction_libgap method) (sage.manifolds.chart.Chart method) (sage.manifolds.chart.CoordChange method) (sage.manifolds.chart.RealChart method) (sage.manifolds.continuous_map.ContinuousMap method) (sage.manifolds.differentiable.affine_connection.AffineConnection method) (sage.manifolds.differentiable.automorphismfield.AutomorphismField method) (sage.manifolds.differentiable.automorphismfield.AutomorphismFieldParal method) (sage.manifolds.differentiable.chart.DiffChart method) (sage.manifolds.differentiable.chart.RealDiffChart method) (sage.manifolds.differentiable.levi_civita_connection.LeviCivitaConnection method) (sage.manifolds.differentiable.metric.DegenerateMetric method) (sage.manifolds.differentiable.metric.DegenerateMetricParal method) (sage.manifolds.differentiable.metric.PseudoRiemannianMetric method) (sage.manifolds.differentiable.metric.PseudoRiemannianMetricParal method) (sage.manifolds.differentiable.mixed_form.MixedForm method) (sage.manifolds.differentiable.symplectic_form.SymplecticForm method) (sage.manifolds.differentiable.symplectic_form.SymplecticFormParal method) (sage.manifolds.differentiable.tensorfield.TensorField method) (sage.manifolds.differentiable.tensorfield_paral.TensorFieldParal method) (sage.manifolds.differentiable.vectorframe.VectorFrame method) (sage.manifolds.local_frame.LocalFrame method) (sage.manifolds.scalarfield.ScalarField method) (sage.manifolds.section.Section method) (sage.manifolds.section.TrivialSection method) (sage.matrix.matrix2.Matrix method) (sage.modular.arithgroup.congroup_gammaH.GammaH_class method) (sage.modular.dirichlet.DirichletCharacter method) (sage.modules.matrix_morphism.MatrixMorphism_abstract method) restrict_codomain() (sage.matrix.matrix2.Matrix method) (sage.modules.matrix_morphism.MatrixMorphism_abstract method) restrict_degree() (sage.combinat.sf.sfa.SymmetricFunctionAlgebra_generic_Element method) restrict_domain() (sage.combinat.words.morphism.WordMorphism method) (sage.matrix.matrix2.Matrix method) (sage.modular.abvar.morphism.Morphism method) (sage.modules.matrix_morphism.MatrixMorphism_abstract method) restrict_partition_lengths() (sage.combinat.sf.sfa.SymmetricFunctionAlgebra_generic_Element method) restrict_parts() (sage.combinat.sf.sfa.SymmetricFunctionAlgebra_generic_Element method) restrict_row() (sage.combinat.tableau_residues.ResidueSequence method) restrict_to_connected_triangulations() (sage.geometry.triangulation.point_configuration.PointConfiguration method) restrict_to_fine_triangulations() (sage.geometry.triangulation.point_configuration.PointConfiguration method) restrict_to_Qp() (sage.modular.local_comp.smoothchar.SmoothCharacterGeneric method) restrict_to_regular_triangulations() (sage.geometry.triangulation.point_configuration.PointConfiguration method) restrict_to_star_triangulations() (sage.geometry.triangulation.point_configuration.PointConfiguration method) restricted() (sage.combinat.species.species.GenericCombinatorialSpecies method) restricted_automorphism_group() (sage.geometry.polyhedron.base4.Polyhedron_base4 method) (sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method) (sage.geometry.triangulation.point_configuration.PointConfiguration method) restricted_output (class in sage.repl.rich_output.display_manager) restricted_partitions() (in module sage.algebras.steenrod.steenrod_algebra_bases) RestrictedGrowthArrays (class in sage.combinat.restricted_growth) RestrictedIntegerPartitions() (sage.combinat.posets.poset_examples.Posets static method) RestrictedPartitions_all (class in sage.combinat.partition) RestrictedPartitions_generic (class in sage.combinat.partition) RestrictedPartitions_n (class in sage.combinat.partition) restriction() (sage.combinat.set_partition.SetPartition method) (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method) (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method) (sage.rings.function_field.valuation.FunctionFieldExtensionMappedValuation method) (sage.rings.function_field.valuation.FunctionFieldMappedValuationRelative_base method) (sage.rings.function_field.valuation.InducedRationalFunctionFieldValuation_base method) (sage.rings.padics.padic_valuation.pAdicValuation_base 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.FiniteExtensionFromInfiniteValuation method) (sage.rings.valuation.scaled_valuation.ScaledValuation_generic method) (sage.rings.valuation.valuation_space.DiscretePseudoValuationSpace.ElementMethods method) restriction_outer_shape() (sage.combinat.shifted_primed_tableau.ShiftedPrimedTableau method) (sage.combinat.skew_tableau.SkewTableau method) restriction_sets() (sage.topology.simplicial_complex.SimplicialComplex method) restriction_shape() (sage.combinat.shifted_primed_tableau.ShiftedPrimedTableau method) (sage.combinat.skew_tableau.SkewTableau method) (sage.combinat.tableau.Tableau method) RestSource (class in sage.doctest.sources) result() (sage.combinat.finite_state_machine.FSMProcessIterator method) (sage.misc.sage_input.SageInputBuilder method) resultant() (sage.dynamics.arithmetic_dynamics.berkovich_ds.DynamicalSystem_Berkovich_projective method) (sage.dynamics.arithmetic_dynamics.projective_ds.DynamicalSystem_projective method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint method) (sage.rings.polynomial.polynomial_integer_dense_ntl.Polynomial_integer_dense_ntl method) (sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_mod_p method) (sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method) (sage.rings.polynomial.polynomial_zz_pex.Polynomial_ZZ_pEX method) (sage.symbolic.expression.Expression method) results (sage.plot.plot3d.implicit_surface.MarchingCubes attribute) retract() (sage.algebras.cluster_algebra.ClusterAlgebra method) (sage.algebras.lie_algebras.affine_lie_algebra.TwistedAffineLieAlgebra method) (sage.algebras.lie_algebras.center_uea.CenterUEA method) (sage.algebras.lie_algebras.quotient.LieQuotient_finite_dimensional_with_basis method) (sage.algebras.lie_algebras.subalgebra.LieSubalgebra_finite_dimensional_with_basis method) (sage.algebras.quantum_groups.quantum_group_gap.HighestWeightSubmodule method) (sage.algebras.quantum_groups.quantum_group_gap.LowerHalfQuantumGroup method) (sage.categories.examples.finite_enumerated_sets.IsomorphicObjectOfFiniteEnumeratedSet method) (sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method) (sage.categories.sets_cat.Sets.Subquotients.ParentMethods method) (sage.combinat.crystals.affine.AffineCrystalFromClassical method) (sage.combinat.crystals.letters.Crystal_of_letters_type_E6_element_dual method) (sage.combinat.diagram_algebras.SubPartitionAlgebra method), [1] (sage.combinat.integer_vectors_mod_permgroup.IntegerVectorsModPermutationGroup_All method) (sage.combinat.integer_vectors_mod_permgroup.IntegerVectorsModPermutationGroup_with_constraints method) (sage.combinat.root_system.weyl_characters.WeylCharacterRing method) (sage.combinat.sf.k_dual.kbounded_HallLittlewoodP method) (sage.combinat.sf.k_dual.KBoundedQuotient method) (sage.combinat.sf.k_dual.KBoundedQuotientBases.ParentMethods method) (sage.combinat.sf.k_dual.kMonomial method) (sage.combinat.sf.new_kschur.K_kSchur method) (sage.combinat.sf.new_kschur.KBoundedSubspace method) (sage.combinat.specht_module.SpechtModuleTableauxBasis method) (sage.groups.abelian_gps.abelian_group_gap.AbelianGroupSubgroup_gap method) (sage.groups.kernel_subgroup.KernelSubgroup method) (sage.manifolds.subset.ManifoldSubset method) (sage.modules.free_module.FreeModule_submodule_with_basis_pid method) (sage.modules.with_basis.subquotient.QuotientModuleWithBasis method) (sage.modules.with_basis.subquotient.SubmoduleWithBasis method) (sage.monoids.automatic_semigroup.AutomaticSemigroup method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) (sage.rings.quotient_ring.QuotientRing_nc method) (sage.sets.real_set.RealSet method) (sage.tensor.modules.tensor_free_submodule.TensorFreeSubmodule_sym method) retract_direct_product() (sage.combinat.permutation.Permutation method) (sage.combinat.symmetric_group_algebra.SymmetricGroupAlgebra_n method) retract_okounkov_vershik() (sage.combinat.permutation.Permutation method) (sage.combinat.symmetric_group_algebra.SymmetricGroupAlgebra_n method) retract_plain() (sage.combinat.permutation.Permutation method) (sage.combinat.symmetric_group_algebra.SymmetricGroupAlgebra_n method) return_words() (sage.combinat.words.finite_word.FiniteWord_class method) return_words_derivate() (sage.combinat.words.finite_word.FiniteWord_class method) return_words_iterator() (sage.combinat.words.abstract_word.Word_class method) returns_to_zero() (sage.combinat.dyck_word.DyckWord method) rev_lex_less() (sage.combinat.words.finite_word.FiniteWord_class method) reversal() (sage.combinat.multiset_partition_into_sets_ordered.OrderedMultisetPartitionIntoSets method) (sage.combinat.words.finite_word.FiniteWord_class method) (sage.combinat.words.morphism.WordMorphism method) (sage.modular.multiple_zeta.All_iterated method) (sage.quivers.paths.QuiverPath method) reversal_on_basis() (sage.modular.multiple_zeta.All_iterated method) reverse (sage.knots.knotinfo.SymmetryMutant attribute) reverse() (sage.combinat.dyck_word.DyckWord_complete method) (sage.combinat.permutation.Permutation method) (sage.geometry.newton_polygon.NewtonPolygon_element method) (sage.graphs.digraph.DiGraph method) (sage.graphs.pq_trees.PQ method) (sage.groups.braid.Braid method) (sage.knots.link.Link method) (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) (sage.quivers.path_semigroup.PathSemigroup method) (sage.rings.laurent_series_ring_element.LaurentSeries method) (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_element_generic.Polynomial_generic_sparse method) (sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint method) (sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_modn_ntl_ZZ method) (sage.rings.polynomial.polynomial_modn_dense_ntl.Polynomial_dense_modn_ntl_zz method) (sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method) (sage.rings.polynomial.polynomial_real_mpfr_dense.PolynomialRealDense method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method) (sage.rings.polynomial.polynomial_zz_pex.Polynomial_ZZ_pEX method) (sage.rings.power_series_pari.PowerSeries_pari method) (sage.rings.power_series_poly.PowerSeries_poly method) (sage.structure.sequence.Sequence_generic method) reverse_bump() (sage.combinat.tableau.Tableau method) reverse_edge() (sage.graphs.digraph.DiGraph method) reverse_edges() (sage.graphs.digraph.DiGraph method) reverse_insertion() (sage.combinat.rsk.RuleDualRSK method) (sage.combinat.rsk.RuleEG method) (sage.combinat.rsk.RuleHecke method) (sage.combinat.rsk.RuleRSK method) (sage.combinat.rsk.RuleStar method) (sage.combinat.rsk.RuleSuperRSK method) reverse_intvec() (in module sage.rings.polynomial.real_roots) reverse_rows_and_columns() (sage.matrix.matrix0.Matrix method) reverse_slide() (sage.combinat.skew_tableau.SkewTableau method) reversed() (sage.categories.homset.Homset method) (sage.combinat.composition.Composition method) (sage.combinat.set_partition_ordered.OrderedSetPartition method) (sage.rings.polynomial.polydict.ETuple method) reversed_hermite_form() (in module sage.rings.function_field.hermite_form_polynomial) reversed_word_iterator() (in module sage.combinat.words.word_char) revert() (sage.rings.lazy_series.LazyLaurentSeries method) (sage.rings.lazy_series.LazyPowerSeries method) (sage.rings.lazy_series.LazySymmetricFunction method) revert_garside() (sage.algebras.hecke_algebras.cubic_hecke_algebra.CubicHeckeElement method) revert_mirror() (sage.algebras.hecke_algebras.cubic_hecke_algebra.CubicHeckeElement method) revert_orientation() (sage.algebras.hecke_algebras.cubic_hecke_algebra.CubicHeckeElement method) revert_series() (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint method) (sage.rings.polynomial.polynomial_rational_flint.Polynomial_rational_flint method) (sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint method) reviewers() (sage.game_theory.matching_game.MatchingGame method) revised_dictionary() (sage.numerical.interactive_simplex_method.InteractiveLPProblemStandardForm method) revolution_plot3d() (in module sage.plot.plot3d.revolution_plot3d) revop() (in module sage.structure.richcmp) rewriting_system() (sage.groups.finitely_presented.FinitelyPresentedGroup method) RewritingSystem (class in sage.groups.finitely_presented) reynolds_operator() (sage.groups.matrix_gps.finitely_generated_gap.FinitelyGeneratedMatrixGroup_gap method) rfind() (sage.combinat.words.finite_word.FiniteWord_class method) (sage.combinat.words.word_datatypes.WordDatatype_str method) RFunction (class in sage.interfaces.r) RFunctionElement (class in sage.interfaces.r) rgamma() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) rgb() (sage.plot.colors.Color method) rgb_to_hls() (in module sage.plot.complex_plot) rgbcolor() (in module sage.plot.colors) rho (sage.combinat.ncsym.ncsym.SymmetricFunctionsNonCommutingVariables attribute) rho() (sage.algebras.askey_wilson.AskeyWilsonAlgebra method) (sage.combinat.root_system.weight_lattice_realizations.WeightLatticeRealizations.ParentMethods method) (sage.geometry.ribbon_graph.RibbonGraph method) (sage.modular.local_comp.type_space.TypeSpace method) (sage.modular.modform_hecketriangle.hecke_triangle_groups.HeckeTriangleGroup method) rho_classical() (sage.combinat.root_system.weight_lattice_realizations.WeightLatticeRealizations.ParentMethods method) rho_inverse() (in module sage.modular.multiple_zeta) rho_matrix_inverse() (in module sage.modular.multiple_zeta) rho_prime() (sage.combinat.root_system.non_symmetric_macdonald_polynomials.NonSymmetricMacdonaldPolynomials method) rhodes_radical_congruence() (sage.categories.finite_monoids.FiniteMonoids.ParentMethods method) rhombic_dodecahedron() (sage.geometry.polyhedron.library.Polytopes method) rhombicosidodecahedron() (sage.geometry.polyhedron.library.Polytopes method) rhombus_pieces() (sage.combinat.knutson_tao_puzzles.PuzzlePieces method) RhombusPiece (class in sage.combinat.knutson_tao_puzzles) rhs() (sage.numerical.linear_tensor_constraints.LinearTensorConstraint method) (sage.symbolic.expression.Expression method) ribbon (sage.combinat.ncsf_qsym.ncsf.NonCommutativeSymmetricFunctions attribute) ribbon() (sage.algebras.fusion_rings.fusion_double.FusionDouble.Element method) (sage.algebras.fusion_rings.fusion_ring.FusionRing.Element method) (sage.combinat.posets.mobile.MobilePoset method) Ribbon_class (class in sage.combinat.ribbon_shaped_tableau) ribbon_decomposition() (sage.combinat.composition.Composition method) RibbonGraph (class in sage.geometry.ribbon_graph) RibbonPoset() (sage.combinat.posets.poset_examples.Posets static method) ribbons_above_marked() (sage.combinat.k_tableau.StrongTableau method) RibbonShapedTableau (class in sage.combinat.ribbon_shaped_tableau) RibbonShapedTableaux (class in sage.combinat.ribbon_shaped_tableau) RibbonTableau (class in sage.combinat.ribbon_tableau) RibbonTableau_class (class in sage.combinat.ribbon_tableau) RibbonTableaux (class in sage.combinat.ribbon_tableau) RibbonTableaux_shape_weight_length (class in sage.combinat.ribbon_tableau) ricci() (sage.manifolds.differentiable.affine_connection.AffineConnection method) (sage.manifolds.differentiable.levi_civita_connection.LeviCivitaConnection method) (sage.manifolds.differentiable.metric.PseudoRiemannianMetric method) ricci_scalar() (sage.manifolds.differentiable.metric.PseudoRiemannianMetric method) (sage.manifolds.differentiable.metric.PseudoRiemannianMetricParal method) rich_compare() (sage.rings.polynomial.polydict.PolyDict method) rich_to_bool() (in module sage.structure.richcmp) rich_to_bool_sgn() (in module sage.structure.richcmp) richcmp() (in module sage.structure.richcmp) (sage.structure.coerce.CoercionModel method) richcmp_by_eq_and_lt() (in module sage.structure.richcmp) richcmp_item() (in module sage.structure.richcmp) richcmp_method() (in module sage.structure.richcmp) richcmp_modes() (sage.rings.padics.padic_printing.pAdicPrinter_class method) richcmp_not_equal() (in module sage.structure.richcmp) RichReprWarning ridges() (sage.geometry.polyhedron.combinatorial_polyhedron.base.CombinatorialPolyhedron method) riemann() (sage.manifolds.differentiable.affine_connection.AffineConnection method) (sage.manifolds.differentiable.levi_civita_connection.LeviCivitaConnection method) (sage.manifolds.differentiable.metric.PseudoRiemannianMetric method) Riemann_Map (class in sage.calculus.riemann) riemann_map() (sage.calculus.riemann.Riemann_Map method) riemann_matrix() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method) (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurfaceSum method) riemann_roch_basis() (sage.schemes.curves.affine_curve.AffinePlaneCurve_finite_field method) (sage.schemes.curves.projective_curve.ProjectivePlaneCurve_finite_field method) riemann_sum() (sage.modular.btquotients.pautomorphicform.BruhatTitsHarmonicCocycleElement method) riemann_surface() (sage.schemes.curves.affine_curve.AffinePlaneCurve_field method) (sage.schemes.curves.projective_curve.ProjectivePlaneCurve_field method) riemannian_metric() (sage.manifolds.differentiable.manifold.DifferentiableManifold method) RiemannianStructure (class in sage.manifolds.structure) RiemannSurface (class in sage.schemes.riemann_surfaces.riemann_surface) RiemannSurfaceSum (class in sage.schemes.riemann_surfaces.riemann_surface) RIFtol() (in module sage.doctest.parsing) rigged_configurations() (sage.combinat.rigged_configurations.tensor_product_kr_tableaux.TensorProductOfKirillovReshetikhinTableaux method) RiggedConfigurationElement (class in sage.combinat.rigged_configurations.rigged_configuration_element) RiggedConfigurations (class in sage.combinat.rigged_configurations.rigged_configurations) RiggedPartition (class in sage.combinat.rigged_configurations.rigged_partition) RiggedPartitionTypeB (class in sage.combinat.rigged_configurations.rigged_partition) rigging (sage.combinat.rigged_configurations.rigged_partition.RiggedPartition attribute) rigging() (sage.manifolds.differentiable.degenerate_submanifold.Screen method) riggings() (in module sage.combinat.sf.kfpoly) right (sage.combinat.recognizable_series.RecognizableSeries property) right() (sage.combinat.regular_sequence.RecurrenceParser method) (sage.symbolic.expression.Expression method) right_action_product() (in module sage.combinat.permutation_cython) (sage.combinat.permutation.Permutation method) (sage.combinat.symmetric_group_algebra.SymmetricGroupAlgebra_n method) right_action_same_n() (in module sage.combinat.permutation_cython) right_angled_coxeter_group() (sage.groups.cactus_group.CactusGroup method) right_base_ring() (sage.categories.bimodules.Bimodules method) right_column_box() (sage.combinat.rigged_configurations.rigged_configuration_element.KRRiggedConfigurationElement method) right_coset_representatives() (sage.combinat.root_system.reflection_group_real.RealReflectionGroup method) (sage.combinat.root_system.reflection_group_real.RealReflectionGroup.Element method) right_denominator() (sage.rings.polynomial.ore_function_element.OreFunction method) right_divides() (sage.rings.polynomial.ore_polynomial_element.OrePolynomial method) right_domain() (sage.categories.action.Action method), [1] right_edge_action() (sage.quivers.representation.QuiverRep_generic method) right_eigenmatrix() (sage.matrix.matrix2.Matrix method) right_eigenspaces() (sage.matrix.matrix2.Matrix method) right_eigenvectors() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_double_dense.Matrix_double_dense method) right_factor() (sage.combinat.species.product_species.ProductSpecies method) right_gcd() (sage.rings.polynomial.ore_polynomial_element.OrePolynomial method) right_hand_side() (sage.symbolic.expression.Expression method) right_ideal() (sage.algebras.quatalg.quaternion_algebra.QuaternionOrder method), [1] right_ideals() (sage.modular.quatalg.brandt.BrandtModule_class method) (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method) right_invariant_extension() (sage.groups.lie_gps.nilpotent_lie_group.NilpotentLieGroup method) right_invariant_frame() (sage.groups.lie_gps.nilpotent_lie_group.NilpotentLieGroup method) right_irreducible_divisor() (sage.rings.polynomial.skew_polynomial_finite_field.SkewPolynomial_finite_field_dense method) right_irreducible_divisors() (sage.rings.polynomial.skew_polynomial_finite_field.SkewPolynomial_finite_field_dense method) right_kernel() (sage.matrix.matrix2.Matrix method) right_kernel_matrix() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_modn_dense_double.Matrix_modn_dense_template method) (sage.matrix.matrix_modn_dense_float.Matrix_modn_dense_template method) right_key_tableau() (sage.combinat.tableau.Tableau method) right_lcm() (sage.rings.polynomial.ore_polynomial_element.OrePolynomial method) right_mod() (sage.rings.polynomial.ore_polynomial_element.OrePolynomial method) right_monic() (sage.rings.polynomial.ore_polynomial_element.OrePolynomial method) right_normal_form() (sage.groups.braid.Braid method) right_nullity() (sage.matrix.matrix2.Matrix method) right_numerator() (sage.rings.polynomial.ore_function_element.OreFunction method) RIGHT_OF_SOURCE (sage.graphs.graph_decompositions.modular_decomposition.VertexPosition attribute) right_order() (in module sage.modular.quatalg.brandt) (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method), [1] right_permutohedron_interval() (sage.combinat.permutation.Permutation method) right_permutohedron_interval_iterator() (sage.combinat.permutation.Permutation method) right_power_mod() (sage.rings.polynomial.skew_polynomial_element.SkewPolynomial_generic_dense method) right_precomposition (sage.categories.action.PrecomposedAction attribute), [1] right_quo_rem() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) (sage.rings.polynomial.ore_polynomial_element.OrePolynomial method) right_rotate() (sage.combinat.binary_tree.BinaryTree method) (sage.combinat.binary_tree.LabelledBinaryTree method) right_shift() (sage.libs.flint.fmpz_poly_sage.Fmpz_poly method) right_special_factors() (sage.combinat.words.finite_word.FiniteWord_class method) right_special_factors_iterator() (sage.combinat.words.finite_word.FiniteWord_class method) RIGHT_SPLIT (sage.graphs.graph_decompositions.modular_decomposition.NodeSplit attribute) right_split() (sage.combinat.rigged_configurations.kr_tableaux.KirillovReshetikhinTableauxElement method) (sage.combinat.rigged_configurations.rigged_configuration_element.KRRiggedConfigurationElement method) (sage.combinat.rigged_configurations.tensor_product_kr_tableaux_element.TensorProductOfKirillovReshetikhinTableauxElement method) right_summand() (sage.combinat.species.sum_species.SumSpecies method) right_tableau() (sage.combinat.permutation.Permutation method) right_translation() (sage.groups.lie_gps.nilpotent_lie_group.NilpotentLieGroup method) right_xgcd() (sage.rings.polynomial.ore_polynomial_element.OrePolynomial method) right_xlcm() (sage.rings.polynomial.ore_polynomial_element.OrePolynomial method) RightAngledArtinGroup (class in sage.groups.raag) RightAngledArtinGroup.Element (class in sage.groups.raag) RightModuleAction (class in sage.structure.coerce_actions) RightModules (class in sage.categories.right_modules) RightModules.ElementMethods (class in sage.categories.right_modules) RightModules.ParentMethods (class in sage.categories.right_modules) RightQuantumWord (class in sage.groups.braid) rigidity() (sage.groups.braid.Braid method) rigorous_line_integral() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method) RijndaelGF (class in sage.crypto.mq.rijndael_gf) RijndaelGF.Round_Component_Poly_Constr (class in sage.crypto.mq.rijndael_gf) rim() (sage.combinat.partition.Partition method) Ring (class in sage.plot.plot3d.tachyon) (class in sage.rings.ring) ring() (sage.categories.category_types.Category_ideal method) (sage.crypto.mq.mpolynomialsystemgenerator.MPolynomialSystemGenerator method) (sage.crypto.mq.sr.SR_generic method) (sage.crypto.sbox.SBox method) (sage.interfaces.macaulay2.Macaulay2 method) (sage.interfaces.singular.Singular method) (sage.libs.singular.function.Converter method) (sage.libs.singular.groebner_strategy.GroebnerStrategy method) (sage.libs.singular.groebner_strategy.NCGroebnerStrategy method) (sage.plot.plot3d.tachyon.Tachyon method) (sage.rings.fraction_field.FractionField_generic method), [1] (sage.rings.function_field.ideal.FunctionFieldIdeal method) (sage.rings.function_field.ideal.IdealMonoid method) (sage.rings.ideal.Ideal_generic method) (sage.rings.ideal_monoid.IdealMonoid_c method) (sage.rings.invariants.invariant_theory.FormsBase method) (sage.rings.polynomial.groebner_fan.GroebnerFan method) (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial method) (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) (sage.rings.polynomial.pbori.pbori.BooleanMonomial method) (sage.rings.polynomial.pbori.pbori.BooleanPolynomial method) (sage.rings.polynomial.pbori.pbori.BooleSet method) (sage.rings.ring_extension.RingExtensionFractionField method) (sage.sandpiles.sandpile.Sandpile method) ring_class_field() (sage.schemes.elliptic_curves.heegner.HeegnerPoint method) (sage.schemes.elliptic_curves.heegner.HeegnerPoints_level_disc_cond method) ring_cyclotomic() (sage.libs.gap.element.GapElement_Ring method) ring_finite_field() (sage.libs.gap.element.GapElement_Ring method) ring_generators() (sage.rings.number_field.order.Order method) ring_homomorphism() (sage.schemes.generic.morphism.SchemeMorphism_spec method) ring_integer() (sage.libs.gap.element.GapElement_Ring method) ring_integer_mod() (sage.libs.gap.element.GapElement_Ring method) ring_of_constants() (sage.rings.derivation.RingDerivationModule method) ring_of_integers() (sage.rings.fraction_field.FractionField_1poly_field method), [1] (sage.rings.number_field.number_field_base.NumberField method) ring_polynomial() (sage.libs.gap.element.GapElement_Ring method) ring_rational() (sage.libs.gap.element.GapElement_Ring method) ring_to_gfan_format() (in module sage.rings.polynomial.groebner_fan) ring_wrapper_Py (class in sage.libs.singular.ring) RingClassField (class in sage.schemes.elliptic_curves.heegner) RingConverter (class in sage.symbolic.expression_conversions) RingDerivation (class in sage.rings.derivation) RingDerivationModule (class in sage.rings.derivation) RingDerivationWithoutTwist (class in sage.rings.derivation) RingDerivationWithoutTwist_fraction_field (class in sage.rings.derivation) RingDerivationWithoutTwist_function (class in sage.rings.derivation) RingDerivationWithoutTwist_quotient (class in sage.rings.derivation) RingDerivationWithoutTwist_wrapper (class in sage.rings.derivation) RingDerivationWithoutTwist_zero (class in sage.rings.derivation) RingDerivationWithTwist_generic (class in sage.rings.derivation) RingedTree() (in module sage.graphs.generators.families) (sage.graphs.graph_generators.GraphGenerators static method) RingElement (class in sage.structure.element) RingExtension_generic (class in sage.rings.ring_extension) RingExtensionBackendIsomorphism (class in sage.rings.ring_extension_morphism) RingExtensionBackendReverseIsomorphism (class in sage.rings.ring_extension_morphism) RingExtensionElement (class in sage.rings.ring_extension_element) RingExtensionFactory (class in sage.rings.ring_extension) RingExtensionFractionField (class in sage.rings.ring_extension) RingExtensionFractionFieldElement (class in sage.rings.ring_extension_element) RingExtensionHomomorphism (class in sage.rings.ring_extension_morphism) RingExtensionWithBasis (class in sage.rings.ring_extension) RingExtensionWithBasisElement (class in sage.rings.ring_extension_element) RingExtensionWithGen (class in sage.rings.ring_extension) RingHomomorphism (class in sage.rings.morphism) RingHomomorphism_cover (class in sage.rings.morphism) RingHomomorphism_from_base (class in sage.rings.morphism) RingHomomorphism_from_fraction_field (class in sage.rings.morphism) RingHomomorphism_from_quotient (class in sage.rings.morphism) RingHomomorphism_im_gens (class in sage.rings.morphism) RingHomset() (in module sage.rings.homset) RingHomset_generic (class in sage.rings.homset) RingHomset_quo_ring (class in sage.rings.homset) RingIdeals (class in sage.categories.ring_ideals) RingLindnerPeikert (class in sage.crypto.lwe) RingLWE (class in sage.crypto.lwe) RingLWEConverter (class in sage.crypto.lwe) RingMap (class in sage.rings.morphism) RingMap_lift (class in sage.rings.morphism) Rings (class in sage.categories.rings) Rings.ElementMethods (class in sage.categories.rings) Rings.MorphismMethods (class in sage.categories.rings) Rings.ParentMethods (class in sage.categories.rings) Rings.SubcategoryMethods (class in sage.categories.rings) RingWrap (class in sage.libs.singular.function) rise_composition() (sage.combinat.dyck_word.DyckWord method) rise_contact_involution() (sage.combinat.interval_posets.TamariIntervalPoset method) rising_factorial() (in module sage.arith.misc) (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) rivf() (sage.groups.lie_gps.nilpotent_lie_group.NilpotentLieGroup method) rk() (sage.combinat.sine_gordon.SineGordonYsystem method) rng_chng (sage.interfaces.singular.SingularGBLogPrettyPrinter attribute) Rngs (class in sage.categories.rngs) RobertsonGraph() (in module sage.graphs.generators.smallgraphs) (sage.graphs.graph_generators.GraphGenerators static method) robinson_schensted() (sage.combinat.permutation.Permutation method) (sage.combinat.words.finite_word.FiniteWord_class method) robinson_schensted_knuth() (in module sage.combinat.rsk) robinson_schensted_knuth_inverse() (in module sage.combinat.rsk) rook_vector() (sage.matrix.matrix2.Matrix method) RookGraph() (in module sage.graphs.generators.chessboard) (sage.graphs.graph_generators.GraphGenerators static method) root() (sage.combinat.root_system.type_A.AmbientSpace method) (sage.combinat.root_system.type_B.AmbientSpace method) (sage.combinat.root_system.type_C.AmbientSpace method) (sage.combinat.root_system.type_D.AmbientSpace method) (sage.combinat.root_system.type_E.AmbientSpace method) (sage.combinat.root_system.type_F.AmbientSpace method) (sage.combinat.yang_baxter_graph.YangBaxterGraph_generic method) (sage.rings.generic.ProductTree method) root_as_algebraic() (sage.rings.qqbar.AlgebraicGenerator method) root_bounds() (in module sage.rings.polynomial.real_roots) root_cone() (sage.combinat.subword_complex.SubwordComplexFacet method) root_configuration() (sage.combinat.subword_complex.SubwordComplexFacet method) root_extension_embedding() (sage.modular.modform_hecketriangle.hecke_triangle_group_element.HeckeTriangleGroupElement method) (sage.modular.modform_hecketriangle.hecke_triangle_groups.HeckeTriangleGroup method) root_extension_field() (sage.modular.modform_hecketriangle.hecke_triangle_group_element.HeckeTriangleGroupElement method) (sage.modular.modform_hecketriangle.hecke_triangle_groups.HeckeTriangleGroup method) root_field() (sage.rings.polynomial.padics.polynomial_padic.Polynomial_padic method) (sage.rings.polynomial.polynomial_element.Polynomial method) root_from_approx() (in module sage.rings.number_field.number_field_morphisms) root_generator() (sage.schemes.toric.points.FiniteFieldPointEnumerator method) root_graph() (in module sage.graphs.line_graph) root_lattice() (sage.combinat.root_system.integrable_representations.IntegrableRepresentation method) (sage.combinat.root_system.root_system.RootSystem method) root_number() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) root_of_unity() (sage.algebras.fusion_rings.fusion_double.FusionDouble method) (sage.algebras.fusion_rings.fusion_ring.FusionRing method) root_poset() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) (sage.combinat.root_system.root_system.RootSystem method) root_space() (sage.combinat.root_system.cartan_matrix.CartanMatrix method) (sage.combinat.root_system.root_system.RootSystem method) root_system() (sage.combinat.root_system.cartan_matrix.CartanMatrix method) (sage.combinat.root_system.cartan_type.CartanType_abstract method) (sage.combinat.root_system.type_Q.CartanType method) (sage.combinat.root_system.type_super_A.CartanType method) root_to_elements_dict() (sage.sets.disjoint_set.DisjointSet_of_hashables method) (sage.sets.disjoint_set.DisjointSet_of_integers method) root_to_reflection() (sage.combinat.root_system.reflection_group_real.RealReflectionGroup method) rooted_product() (in module sage.graphs.graph_decompositions.graph_products) (sage.graphs.generic_graph.GenericGraph method) RootedTree (class in sage.combinat.rooted_tree) RootedTrees (class in sage.combinat.rooted_tree) RootedTrees_all (class in sage.combinat.rooted_tree) RootedTrees_size (class in sage.combinat.rooted_tree) rootfinding_algorithm() (sage.coding.guruswami_sudan.gs_decoder.GRSGuruswamiSudanDecoder method) RootLatticeRealizations (class in sage.combinat.root_system.root_lattice_realizations) RootLatticeRealizations.ElementMethods (class in sage.combinat.root_system.root_lattice_realizations) RootLatticeRealizations.ParentMethods (class in sage.combinat.root_system.root_lattice_realizations) RootOfUnity (class in sage.groups.misc_gps.argument_groups) roots() (sage.combinat.backtrack.PositiveIntegerSemigroup method) (sage.combinat.integer_vectors_mod_permgroup.IntegerVectorsModPermutationGroup_All method) (sage.combinat.integer_vectors_mod_permgroup.IntegerVectorsModPermutationGroup_with_constraints method) (sage.combinat.root_system.reflection_group_complex.ComplexReflectionGroup method) (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) (sage.combinat.root_system.weyl_group.WeylGroup_permutation method) (sage.groups.matrix_gps.coxeter_group.CoxeterMatrixGroup method) (sage.parallel.map_reduce.RESetMapReduce method) (sage.parallel.map_reduce.RESetMPExample method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.real_roots.ocean method) (sage.schemes.toric.points.NaiveFinitePointEnumerator method) (sage.sets.recursively_enumerated_set.RecursivelyEnumeratedSet_forest method) (sage.symbolic.expression.Expression method) roots_interval_cached() (in module sage.schemes.curves.zariski_vankampen) roots_of_unity() (sage.rings.number_field.number_field.NumberField_cyclotomic method) (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.number_field.number_field_rel.NumberField_relative method) (sage.rings.number_field.unit_group.UnitGroup method) (sage.rings.padics.padic_generic.pAdicGeneric method) RootsOfUnityGroup (class in sage.groups.misc_gps.argument_groups) RootSpace (class in sage.combinat.root_system.root_space) RootSpaceElement (class in sage.combinat.root_system.root_space) RootsWithHeight (class in sage.combinat.crystals.alcove_path) RootsWithHeightElement (class in sage.combinat.crystals.alcove_path) RootSystem (class in sage.combinat.root_system.root_system) rosati_involution() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method) RoseWindowGraph() (in module sage.graphs.generators.families) (sage.graphs.graph_generators.GraphGenerators static method) rot_map (sage.interfaces.rubik.DikSolver attribute) rotate() (sage.combinat.growth.GrowthDiagram method) (sage.combinat.parallelogram_polyomino.ParallelogramPolyomino method) (sage.plot.plot3d.base.Graphics3d method) rotate_180() (sage.combinat.tableau.Tableau method) rotate_arbitrary() (in module sage.plot.plot3d.transform) rotate_ccw() (sage.combinat.alternating_sign_matrix.AlternatingSignMatrix method) rotate_cw() (sage.combinat.alternating_sign_matrix.AlternatingSignMatrix method) rotateX() (sage.plot.plot3d.base.Graphics3d method) rotateY() (sage.plot.plot3d.base.Graphics3d method) rotateZ() (sage.plot.plot3d.base.Graphics3d method) rotation() (sage.geometry.riemannian_manifolds.parametrized_surface3d.ParametrizedSurface3D method) rotation_list() (in module sage.groups.perm_gps.cubegroup) roth_ruckenstein_root_finder() (in module sage.coding.guruswami_sudan.gs_decoder) rothe_diagram() (sage.combinat.diagram.NorthwestDiagrams method) (sage.combinat.permutation.Permutation method) RotheDiagram() (in module sage.combinat.diagram) round() (in module sage.misc.functional) (sage.crypto.block_cipher.des.DES method) (sage.crypto.block_cipher.present.PRESENT method) (sage.matrix.matrix_double_dense.Matrix_double_dense method) (sage.rings.complex_arb.ComplexBall method) (sage.rings.integer.Integer method) (sage.rings.number_field.number_field_element.NumberFieldElement method) (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_quadratic method) (sage.rings.qqbar.AlgebraicReal method) (sage.rings.rational.Rational method) (sage.rings.real_arb.RealBall method) (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealNumber method) (sage.symbolic.expression.Expression method) round_key() (sage.crypto.block_cipher.miniaes.MiniAES method) round_polynomials() (sage.crypto.mq.sr.SR_generic method) round_robin() (in module sage.graphs.graph_coloring) rounding_mode() (sage.rings.complex_mpc.MPComplexField_class method) (sage.rings.real_mpfr.RealField_class method) rounding_mode_imag() (sage.rings.complex_mpc.MPComplexField_class method) rounding_mode_real() (sage.rings.complex_mpc.MPComplexField_class method) row() (sage.combinat.matrices.latin.LatinSquare method) (sage.combinat.root_system.dynkin_diagram.DynkinDiagram_class method) (sage.matrix.matrix1.Matrix method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_mod2_dense.Matrix_mod2_dense method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) (sage.modules.free_module_element.FreeModuleElement method) (sage.numerical.backends.cvxopt_backend.CVXOPTBackend method) (sage.numerical.backends.generic_backend.GenericBackend method) (sage.numerical.backends.generic_sdp_backend.GenericSDPBackend method) (sage.numerical.backends.glpk_backend.GLPKBackend method) (sage.numerical.backends.interactivelp_backend.InteractiveLPBackend method) (sage.numerical.backends.logging_backend.LoggingBackend method) (sage.numerical.backends.ppl_backend.PPLBackend method) row_ambient_module() (sage.matrix.matrix1.Matrix method) row_annihilator() (sage.combinat.root_system.cartan_type.CartanType_affine method) row_bounds() (sage.numerical.backends.cvxopt_backend.CVXOPTBackend method) (sage.numerical.backends.generic_backend.GenericBackend method) (sage.numerical.backends.glpk_backend.GLPKBackend method) (sage.numerical.backends.interactivelp_backend.InteractiveLPBackend method) (sage.numerical.backends.logging_backend.LoggingBackend method) (sage.numerical.backends.ppl_backend.PPLBackend method) row_coefficients() (sage.numerical.interactive_simplex_method.LPAbstractDictionary method) (sage.numerical.interactive_simplex_method.LPDictionary method) (sage.numerical.interactive_simplex_method.LPRevisedDictionary method) row_containing_sym() (in module sage.combinat.matrices.latin) row_degrees() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) row_iterator() (in module sage.matrix.matrix_misc) row_keys (sage.matrix.args.MatrixArgs attribute) row_keys() (sage.matrix.operation_table.OperationTable method) row_lengths() (sage.combinat.skew_partition.SkewPartition method) row_lengths_aux() (in module sage.combinat.skew_partition) row_module() (sage.matrix.matrix2.Matrix method) row_name() (sage.numerical.backends.cvxopt_backend.CVXOPTBackend method) (sage.numerical.backends.generic_backend.GenericBackend method) (sage.numerical.backends.generic_sdp_backend.GenericSDPBackend method) (sage.numerical.backends.glpk_backend.GLPKBackend method) (sage.numerical.backends.interactivelp_backend.InteractiveLPBackend method) (sage.numerical.backends.logging_backend.LoggingBackend method) (sage.numerical.backends.ppl_backend.PPLBackend method) row_names() (sage.databases.knotinfo_db.KnotInfoDataBase method) row_space() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_space.MatrixSpace method) row_stabilizer() (sage.combinat.skew_tableau.SkewTableau method) (sage.combinat.tableau.Tableau method) (sage.combinat.tableau_tuple.TableauTuple method) row_standard_tableaux() (sage.combinat.partition.Partition method) (sage.combinat.partition_tuple.PartitionTuple method) (sage.combinat.tableau_residues.ResidueSequence method) row_sums() (sage.combinat.gelfand_tsetlin_patterns.GelfandTsetlinPattern method) (sage.combinat.integer_matrices.IntegerMatrices method) row_to_polyomino() (sage.combinat.tiling.TilingSolver method) row_with_indices() (sage.combinat.root_system.cartan_matrix.CartanMatrix method) rowmotion() (sage.categories.finite_posets.FinitePosets.ParentMethods method) rowmotion_orbit_iter() (sage.categories.finite_posets.FinitePosets.ParentMethods method) rowmotion_orbits() (sage.categories.finite_posets.FinitePosets.ParentMethods method) rowmotion_orbits_plots() (sage.categories.finite_posets.FinitePosets.ParentMethods method) rows() (sage.combinat.crystals.tensor_product.CrystalOfQueerTableaux.Element method) (sage.combinat.crystals.tensor_product_element.InfinityQueerCrystalOfTableauxElement method) (sage.combinat.matrices.dancing_links.dancing_linksWrapper method) (sage.combinat.tiling.TilingSolver method) (sage.matrix.matrix1.Matrix method) rows_for_piece() (sage.combinat.tiling.TilingSolver method) rows_intersection_set() (sage.combinat.skew_partition.SkewPartition method) RowStandardTableau (class in sage.combinat.tableau) RowStandardTableauTuple (class in sage.combinat.tableau_tuple) RowStandardTableauTuples (class in sage.combinat.tableau_tuple) RowStandardTableauTuples_all (class in sage.combinat.tableau_tuple) RowStandardTableauTuples_level (class in sage.combinat.tableau_tuple) RowStandardTableauTuples_level_size (class in sage.combinat.tableau_tuple) RowStandardTableauTuples_residue (class in sage.combinat.tableau_tuple) RowStandardTableauTuples_residue_shape (class in sage.combinat.tableau_tuple) RowStandardTableauTuples_shape (class in sage.combinat.tableau_tuple) RowStandardTableauTuples_size (class in sage.combinat.tableau_tuple) RowStandardTableaux (class in sage.combinat.tableau) RowStandardTableaux_all (class in sage.combinat.tableau) RowStandardTableaux_shape (class in sage.combinat.tableau) RowStandardTableaux_size (class in sage.combinat.tableau) rplaca() (sage.libs.ecl.EclObject method) rplacd() (sage.libs.ecl.EclObject method) rpow() (sage.rings.asymptotic.asymptotic_ring.AsymptoticExpansion method) (sage.rings.asymptotic.growth_group.GenericGrowthElement method) (sage.rings.asymptotic.growth_group_cartesian.GenericProduct.Element method) (sage.rings.asymptotic.term_monoid.ExactTerm method) (sage.rings.asymptotic.term_monoid.GenericTerm method) (sage.rings.asymptotic.term_monoid.OTerm method) RPS() (in module sage.game_theory.catalog_normal_form_games) RPSLS() (in module sage.game_theory.catalog_normal_form_games) rr_gap (class in sage.rings.polynomial.real_roots) rref() (sage.matrix.matrix2.Matrix method) RRtoCC (class in sage.rings.complex_mpfr) RRtoRR (class in sage.rings.real_mpfr) RS_partition() (sage.combinat.permutation.Permutation method) RSat (class in sage.sat.solvers.dimacs) RSHCD_324() (in module sage.combinat.matrices.hadamard_matrix) rshcd_from_close_prime_powers() (in module sage.combinat.matrices.hadamard_matrix) rshcd_from_prime_power_and_conference_matrix() (in module sage.combinat.matrices.hadamard_matrix) rshift_coeffs() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) RSK (sage.combinat.growth.Rules attribute) (sage.combinat.rsk.InsertionRules attribute) RSK() (in module sage.combinat.rsk) RSK_inverse() (in module sage.combinat.rsk) rsqrt() (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) rst_transform() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) rsw_shuffling_element() (sage.combinat.symmetric_group_algebra.SymmetricGroupAlgebra_n method) RTrivial (sage.categories.semigroups.Semigroups attribute) RTrivial() (sage.categories.semigroups.Semigroups.SubcategoryMethods method) RTrivial_extra_super_categories() (sage.categories.l_trivial_semigroups.LTrivialSemigroups method) RTrivialSemigroups (class in sage.categories.r_trivial_semigroups) Rtype() (sage.combinat.root_system.branching_rules.BranchingRule method) Rubiks (class in sage.features.rubiks) RubiksCube (class in sage.groups.perm_gps.cubegroup) RudinBall() (in module sage.topology.simplicial_complex_examples) Rule (class in sage.combinat.growth) (class in sage.combinat.rsk) RuleBinaryWord (class in sage.combinat.growth) RuleBurge (class in sage.combinat.growth) RuleCoRSK (class in sage.combinat.rsk) RuleDomino (class in sage.combinat.growth) RuleDualRSK (class in sage.combinat.rsk) RuleEG (class in sage.combinat.rsk) RuleHecke (class in sage.combinat.rsk) RuleLLMS (class in sage.combinat.growth) RulePartitions (class in sage.combinat.growth) ruler() (in module sage.plot.plot3d.shapes2) ruler_frame() (in module sage.plot.plot3d.shapes2) RuleRSK (class in sage.combinat.growth) (class in sage.combinat.rsk) Rules (class in sage.combinat.growth) rules (sage.combinat.growth.GrowthDiagram attribute) rules() (sage.groups.finitely_presented.RewritingSystem method) RuleShiftedShapes (class in sage.combinat.growth) RuleStar (class in sage.combinat.rsk) RuleSuperRSK (class in sage.combinat.rsk) RuleSylvester (class in sage.combinat.growth) RuleYoungFibonacci (class in sage.combinat.growth) run() (sage.combinat.rigged_configurations.bij_abstract_class.KRTToRCBijectionAbstract method) (sage.combinat.rigged_configurations.bij_abstract_class.RCToKRTBijectionAbstract method) (sage.combinat.rigged_configurations.bij_infinity.MLTToRCBijectionTypeB method) (sage.combinat.rigged_configurations.bij_infinity.MLTToRCBijectionTypeD method) (sage.combinat.rigged_configurations.bij_infinity.RCToMLTBijectionTypeB method) (sage.combinat.rigged_configurations.bij_infinity.RCToMLTBijectionTypeD method) (sage.combinat.rigged_configurations.bij_type_B.KRTToRCBijectionTypeB method) (sage.combinat.rigged_configurations.bij_type_B.RCToKRTBijectionTypeB method) (sage.combinat.rigged_configurations.bij_type_D.KRTToRCBijectionTypeD method) (sage.combinat.rigged_configurations.bij_type_D.RCToKRTBijectionTypeD method) (sage.combinat.rigged_configurations.bij_type_D_twisted.KRTToRCBijectionTypeDTwisted method) (sage.combinat.rigged_configurations.bij_type_D_twisted.RCToKRTBijectionTypeDTwisted method) (sage.doctest.control.DocTestController method) (sage.doctest.forker.DocTestWorker method) (sage.doctest.forker.SageDocTestRunner method) (sage.geometry.polyhedron.double_description.StandardAlgorithm method) (sage.groups.perm_gps.partn_ref.refinement_matrices.MatrixStruct method) (sage.misc.sage_unittest.TestSuite method) (sage.parallel.map_reduce.RESetMapReduce method) (sage.parallel.map_reduce.RESetMapReduceWorker method) run_100ms() (in module sage.misc.gperftools) run_cell() (sage.repl.interpreter.SageTestShell method) run_doctests() (in module sage.doctest.control) (sage.doctest.control.DocTestController method) run_dual_simplex_method() (sage.numerical.interactive_simplex_method.LPAbstractDictionary method) run_init() (sage.repl.ipython_extension.SageCustomizations method) run_myself() (sage.parallel.map_reduce.RESetMapReduceWorker method) run_once() (in module sage.misc.misc) run_pickle() (sage.misc.explain_pickle.PickleExplainer method) run_revised_simplex_method() (sage.numerical.interactive_simplex_method.InteractiveLPProblemStandardForm method) run_serial() (sage.parallel.map_reduce.RESetMapReduce method) run_simplex_method() (sage.numerical.interactive_simplex_method.InteractiveLPProblemStandardForm method) (sage.numerical.interactive_simplex_method.LPAbstractDictionary method) run_val_gdb() (sage.doctest.control.DocTestController method) runcinated_one_hundred_twenty_cell() (sage.geometry.polyhedron.library.Polytopes method) runcitruncated_one_hundred_twenty_cell() (sage.geometry.polyhedron.library.Polytopes method) runcitruncated_six_hundred_cell() (sage.geometry.polyhedron.library.Polytopes method) runfile() (sage.repl.ipython_extension.SageMagics method) running_total() (in module sage.misc.misc_c) runs() (sage.combinat.permutation.Permutation method) runsnake() (in module sage.misc.dev_tools) runsphinx() (in module sage_docbuild.sphinxbuild) runTest() (sage.misc.sage_unittest.InstanceTester method) RUNTIME_INSTANCE_ATTRIBUTE (sage_docbuild.ext.sage_autodoc.RuntimeInstanceAttributeMixin attribute) RuntimeInstanceAttributeMixin (class in sage_docbuild.ext.sage_autodoc)