Index – R

R (class in sage.interfaces.r) r (sage.combinat.finite_state_machine_generators.TransducerGenerators.RecursionRule 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.catalog) R12() (in module sage.matroids.catalog) R6() (in module sage.matroids.catalog) R8() (in module sage.matroids.catalog) R9A() (in module sage.matroids.catalog) R9B() (in module sage.matroids.catalog) 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.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.generic_graph.GenericGraph method) (sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace 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) 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) 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) 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() (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_DAG() (in module sage.sandpiles.sandpile) 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.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.extended_code.ExtendedCode method) (sage.coding.linear_code.AbstractLinearCode 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.combinat.CombinatorialClass 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_X method) (sage.combinat.multiset_partition_into_sets_ordered.OrderedMultisetPartitionsIntoSets_alph_d method) (sage.combinat.multiset_partition_into_sets_ordered.OrderedMultisetPartitionsIntoSets_n 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 method) (sage.combinat.set_partition.SetPartitions_set method) (sage.combinat.set_partition.SetPartitions_setn method) (sage.combinat.subset.SubMultiset_s method) (sage.combinat.subset.SubMultiset_sk method) (sage.combinat.subset.SubsetsSorted method) (sage.combinat.subset.Subsets_s method) (sage.combinat.subset.Subsets_sk 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.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.rings.complex_double.ComplexDoubleField_class method) (sage.rings.complex_field.ComplexField_class method) (sage.rings.complex_interval_field.ComplexIntervalField_class method) (sage.rings.complex_mpc.MPComplexField_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.FunctionField_polymod method) (sage.rings.function_field.function_field.RationalFunctionField method) (sage.rings.ideal.Ideal_generic method) (sage.rings.integer_ring.IntegerRing_class 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.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.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method) (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) (sage.rings.polynomial.pbori.BooleanPolynomialRing method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) (sage.rings.polynomial.skew_polynomial_ring.SkewPolynomialRing_general method) (sage.rings.power_series_ring.PowerSeriesRing_generic method) (sage.rings.qqbar.AlgebraicField 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.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.base.Polyhedron_base 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_new_basis_modp() (in module sage.modular.overconvergent.hecke_series) 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) 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() (sage.graphs.graph_generators.GraphGenerators static method) RandomBicubicPlanar() (sage.graphs.graph_generators.GraphGenerators static method) RandomBipartite() (sage.graphs.graph_generators.GraphGenerators static method) RandomBlockGraph() (sage.graphs.graph_generators.GraphGenerators static method) RandomBoundedToleranceGraph() (sage.graphs.graph_generators.GraphGenerators static method) RandomChordalGraph() (sage.graphs.graph_generators.GraphGenerators static method) RandomComplex() (in module sage.homology.examples) 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() (sage.graphs.graph_generators.GraphGenerators static method) RandomGNP() (in module sage.graphs.graph_generators_pyx) (sage.graphs.graph_generators.GraphGenerators static method) RandomHolmeKim() (sage.graphs.graph_generators.GraphGenerators static method) RandomIntervalGraph() (sage.graphs.graph_generators.GraphGenerators static method) randomize() (sage.finance.time_series.TimeSeries method) (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) RandomLattice() (sage.combinat.posets.poset_examples.Posets static method) RandomLinearCodeGuava() (in module sage.coding.guava) RandomLobster() (sage.graphs.graph_generators.GraphGenerators static method) RandomNewmanWattsStrogatz() (sage.graphs.graph_generators.GraphGenerators static method) RandomPoset() (sage.combinat.posets.poset_examples.Posets static method) RandomRegular() (sage.graphs.graph_generators.GraphGenerators static method) RandomRegularBipartite() (sage.graphs.graph_generators.GraphGenerators static method) RandomSemiComplete() (sage.graphs.digraph_generators.DiGraphGenerators method) RandomShell() (sage.graphs.graph_generators.GraphGenerators static method) RandomToleranceGraph() (sage.graphs.graph_generators.GraphGenerators static method) RandomTournament() (sage.graphs.digraph_generators.DiGraphGenerators method) RandomTree() (sage.graphs.graph_generators.GraphGenerators static method) RandomTreePowerlaw() (sage.graphs.graph_generators.GraphGenerators static method) RandomTriangulation() (sage.graphs.graph_generators.GraphGenerators static method) RandomTwoSphere() (in module sage.homology.examples) 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) range_slider() (in module sage.repl.ipython_kernel.widgets_sagenb) range_statistic() (sage.finance.time_series.TimeSeries method) 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.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.ColoredPermutations method) (sage.combinat.combinat.CombinatorialClass method) (sage.combinat.combinat.UnionCombinatorialClass method) (sage.combinat.combination.Combinations_set method) (sage.combinat.combination.Combinations_setk method) (sage.combinat.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_nk method) (sage.combinat.permutation.Permutation 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.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.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.quivers.morphism.QuiverRepHom 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 method), [1] 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_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_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.AbstractLinearCode 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) rational_param_as_tuple() (in module sage.functions.hypergeometric) rational_parameterization() (sage.schemes.curves.affine_curve.AffinePlaneCurve method) (sage.schemes.curves.projective_curve.ProjectivePlaneCurve 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_periodic_points() (sage.dynamics.arithmetic_dynamics.projective_ds.DynamicalSystem_projective_field method) rational_point() (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.affine_curve.AffinePlaneCurve_prime_finite_field method) (sage.schemes.curves.projective_curve.ProjectivePlaneCurve_finite_field method) (sage.schemes.curves.projective_curve.ProjectivePlaneCurve_prime_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.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_preperiodic_points() (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) 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) RationalFunctionField_global (class in sage.rings.function_field.function_field) RationalFunctionFieldMappedValuation (class in sage.rings.function_field.function_field_valuation) RationalFunctionFieldValuation_base (class in sage.rings.function_field.function_field_valuation) RationalHomology (class in sage.modular.abvar.homology) rationalize_series() (sage.modular.modform_hecketriangle.abstract_space.FormsSpace_abstract method) 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) ratpoints() (in module sage.libs.ratpoints) 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() (in module sage.geometry.polyhedron.backend_ppl) (in module sage.geometry.polyhedron.ppl_lattice_polytope) (in module sage.libs.ppl) (sage.geometry.cone.IntegralRayCollection method) (sage.libs.ppl.Generator method) ray_class_number() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) ray_generator() (sage.geometry.polyhedron.base.Polyhedron_base method) (sage.geometry.polyhedron.face.PolyhedronFace method) ray_matrix_normal_form() (in module sage.geometry.integral_points) rays() (sage.geometry.cone.IntegralRayCollection method) (sage.geometry.polyhedron.base.Polyhedron_base 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.base.Polyhedron_base method) RBF (in module sage.rings.real_arb) 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.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_data() (in module sage.interfaces.read_data) read_matrix() (sage.interfaces.four_ti_2.FourTi2 method) read_messages() (sage.doctest.forker.DocTestWorker method) read_palp_matrix() (in module sage.geometry.lattice_polytope) read_palp_point_collection() (in module sage.geometry.point_collection) readframes() (sage.media.wav.Wave 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_number.ComplexNumber method) (sage.rings.integer.Integer method) (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_quadratic method) (sage.rings.qqbar.ANDescr method) (sage.rings.qqbar.AlgebraicNumber method) (sage.rings.qqbar.AlgebraicReal method) (sage.rings.rational.Rational 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_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_number() (sage.rings.qqbar.AlgebraicReal method) real_part() (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_number.ComplexNumber 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.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() (in module sage.rings.real_double) RealDoubleField_class (class in sage.rings.real_double) RealDoubleVectorSpace_class (class in sage.modules.free_module) 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() (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.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.homology.examples) (sage.homology.cubical_complex.CubicalComplexExamples method) (sage.homology.delta_complex.DeltaComplexExamples method) RealProjectiveSpace() (in module sage.homology.examples) (in module sage.homology.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) 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) 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) rectangular_box_points() (in module sage.geometry.integral_points) 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.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) 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) recursively_insert() (in module sage.rings.polynomial.pbori) RecursivelyEnumeratedSet() (in module 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_mfact() (in module sage.quadratic_forms.ternary) red_tail() (in module sage.rings.polynomial.pbori) red_vertices() (sage.combinat.cluster_algebra_quiver.cluster_seed.ClusterSeed method) redirection (class in sage.misc.sage_ostools) reduce() (sage.algebras.letterplace.free_algebra_element_letterplace.FreeAlgebraElement_letterplace method) (sage.algebras.letterplace.letterplace_ideal.LetterplaceIdeal method) (sage.algebras.lie_algebras.subalgebra.LieSubalgebra_finite_dimensional_with_basis method) (sage.groups.finitely_presented.RewritingSystem method) (sage.homology.simplicial_set.SimplicialSet_arbitrary 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.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_sparse method) (sage.rings.polynomial.multi_polynomial_element.MPolynomial_polydict method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method) (sage.rings.polynomial.multi_polynomial_ideal.NCPolynomialIdeal method) (sage.rings.polynomial.multi_polynomial_libsingular.MPolynomial_libsingular method) (sage.rings.polynomial.pbori.BooleanPolynomial method) (sage.rings.polynomial.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.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) 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.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.RESetMapReduce method) reduce_load() (in module sage.interfaces.mathematica) 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_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_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_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 attribute) reduced_basis() (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_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) reduced_normal_form() (sage.rings.polynomial.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) 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.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_iterator() (sage.combinat.permutation.Permutation method) ReducedConeOfSimplicialSet (class in sage.homology.simplicial_set_constructions) ReducedConeOfSimplicialSet_finite (class in sage.homology.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.BooleanMonomial method) (sage.rings.polynomial.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_step_real_case() (in module sage.rings.number_field.S_unit_solver) reduction_strategy (sage.rings.polynomial.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) redundancy_matrix() (sage.coding.linear_code.AbstractLinearCode 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) references() (sage.databases.findstat.FindStatStatistic method) (sage.databases.oeis.OEISSequence method) 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_aorder() (sage.combinat.species.series.LazyPowerSeries 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_step() (sage.combinat.crystals.littelmann_path.CrystalOfLSPaths.Element method) reflection() (sage.algebras.clifford_algebra.CliffordAlgebraElement method) (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_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) 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) ReflexivePolytope() (in module sage.geometry.lattice_polytope) ReflexivePolytopes() (in module sage.geometry.lattice_polytope) 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_sage_classes() (in module sage.rings.numbers_abc) register_symbol() (in module sage.libs.pynac.pynac) register_unpickle_override() (in module sage.misc.persist) RegressiveCovariantConstructionCategory (class in sage.categories.covariant_functorial_construction) 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_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) 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) RegularSuperCrystals (class in sage.categories.regular_supercrystals) RegularSuperCrystals.ElementMethods (class in sage.categories.regular_supercrystals) RegularSuperCrystals.ParentMethods (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) 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.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_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.symbolic.expression_conversions.Converter method) (sage.symbolic.expression_conversions.ExpressionTreeWalker method) (sage.symbolic.expression_conversions.FastCallableConverter method) (sage.symbolic.expression_conversions.FastFloatConverter method) (sage.symbolic.expression_conversions.InterfaceInit method) (sage.symbolic.expression_conversions.PolynomialConverter method) (sage.symbolic.expression_conversions.SympyConverter method) relation_gens() (sage.schemes.toric.chow_group.ChowGroup_class method) relation_matrix_wtk_g0() (in module sage.modular.modsym.relation_matrix) relation_with() (sage.libs.ppl.Polyhedron method) relations() (sage.combinat.posets.posets.FinitePoset 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.quotient_module.FreeModule_ambient_field_quotient method) (sage.rings.polynomial.plural.NCPolynomialRing_plural method) relations_iterator() (sage.combinat.posets.posets.FinitePoset method) relations_number() (sage.combinat.posets.posets.FinitePoset method) relative_bounds() (in module sage.rings.polynomial.real_roots) relative_degree() (sage.rings.function_field.place.FunctionFieldPlace_global 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) relative_diameter() (sage.rings.real_mpfi.RealIntervalFieldElement method)

relative_different() (sage.rings.number_field.number_field.NumberField_absolute method) (sage.rings.number_field.number_field_rel.NumberField_relative method) relative_discriminant() (sage.rings.number_field.number_field.NumberField_absolute method) (sage.rings.number_field.number_field_rel.NumberField_relative method) (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_field() (sage.coding.relative_finite_field_extension.RelativeFiniteFieldExtension method) relative_field_basis() (sage.coding.relative_finite_field_extension.RelativeFiniteFieldExtension method) relative_field_degree() (sage.coding.relative_finite_field_extension.RelativeFiniteFieldExtension method) relative_field_representation() (sage.coding.relative_finite_field_extension.RelativeFiniteFieldExtension method) relative_inertia_degree() (sage.rings.padics.local_generic.LocalGeneric method) relative_interior_contains() (sage.geometry.cone.ConvexRationalPolyhedralCone method) (sage.geometry.polyhedron.base.Polyhedron_base 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) RelativeFiniteFieldExtension (class in sage.coding.relative_finite_field_extension) RelativeFromAbsolute (class in sage.rings.number_field.structure) RelativeFromRelative (class in sage.rings.number_field.structure) RelativeNumberFieldHomomorphism_from_abs (class in sage.rings.number_field.morphism) RelativeNumberFieldHomset (class in sage.rings.number_field.morphism) RelativeOrder (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) RElement (class in sage.interfaces.r) reload_attached_files_if_modified() (in module sage.repl.attach) 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) 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.homology.simplicial_complex.SimplicialComplex method) remove_faces() (sage.homology.simplicial_complex.SimplicialComplex method) remove_higher_space_dimensions() (sage.libs.ppl.Polyhedron method) remove_horizontal_border_strip() (sage.combinat.partition.Partition method) remove_loops() (sage.graphs.generic_graph.GenericGraph 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_unicode_u() (in module sage.doctest.parsing) remove_var() (sage.rings.multi_power_series_ring.MPowerSeriesRing_generic method) (sage.rings.polynomial.laurent_polynomial_ring.LaurentPolynomialRing_generic method) (sage.rings.polynomial.multi_polynomial_ring_base.MPolynomialRing_base method) (sage.rings.polynomial.pbori.BooleanPolynomialRing 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.homology.simplicial_set.SimplicialSet_arbitrary method) rename_table() (sage.databases.sql_db.SQLDatabase method) rename_vertex() (in module sage.homology.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.base.Polyhedron_base method) render_solid_3d() (sage.geometry.polyhedron.plot.Projection method) render_vertices_3d() (sage.geometry.polyhedron.plot.Projection method) render_wireframe() (sage.geometry.polyhedron.base.Polyhedron_base 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) repelling_fixed_point() (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometry method) (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometryUHP method) replace_line() (in module sage.libs.readline) 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.misc) 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_pretty_Hrepresentation() (sage.geometry.polyhedron.base.Polyhedron_base method) repr_short_to_parent() (in module sage.rings.asymptotic.misc) representation() (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_matrix() (sage.combinat.symmetric_group_representations.SpechtRepresentation method) (sage.combinat.symmetric_group_representations.YoungRepresentation_generic 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_vector_list() (sage.quadratic_forms.quadratic_form.QuadraticForm method) representation_vectors() (sage.matroids.linear_matroid.LinearMatroid method) representative() (sage.algebras.commutative_dga.CohomologyClass method) (sage.groups.conjugacy_classes.ConjugacyClass method) representative_action() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method) representative_point() (sage.geometry.polyhedron.base.Polyhedron_base method) representative_prime() (sage.rings.number_field.class_group.FractionalIdealClass 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.symbolic.integration.external) 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.finance.time_series.TimeSeries method) (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.dynamics.cellular_automata.solitons.SolitonCellularAutomata method) (sage.manifolds.calculus_method.CalculusMethod method) (sage.misc.parser.Tokenizer 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_interfaces() (in module sage.misc.reset) 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_global 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) 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.FunctionField_global method) (sage.rings.function_field.function_field.RationalFunctionField_global method) (sage.rings.function_field.place.FunctionFieldPlace_global method) (sage.rings.function_field.place.FunctionFieldPlace_rational method) (sage.rings.function_field.valuation_ring.FunctionFieldValuationRing_global method) (sage.rings.ideal.Ideal_pid 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.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.rational_field.RationalField method) (sage.rings.valuation.valuation_space.DiscretePseudoValuationSpace.ElementMethods method) residue_ring() (sage.rings.function_field.function_field_valuation.InducedRationalFunctionFieldValuation_base method) (sage.rings.function_field.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_givaro (class in sage.rings.finite_rings.residue_field) ResidueFiniteField_ntl_gf2e (class in sage.rings.finite_rings.residue_field) ResidueFiniteField_pari_ffelt (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) Resolution (class in sage.libs.singular.function) resolution() (sage.features.Feature method) (sage.sandpiles.sandpile.Sandpile method) resolution_of_singularities() (sage.schemes.curves.affine_curve.AffineCurve 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_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.getitem) 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.PseudoRiemannianMetric method) (sage.manifolds.differentiable.metric.PseudoRiemannianMetricParal method) (sage.manifolds.differentiable.mixed_form.MixedForm method) (sage.manifolds.differentiable.tensorfield.TensorField method) (sage.manifolds.differentiable.tensorfield_paral.TensorFieldParal method) (sage.manifolds.differentiable.vectorframe.VectorFrame method) (sage.manifolds.scalarfield.ScalarField 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_angle() (sage.rings.real_double.RealDoubleElement 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.series.LazyPowerSeries method) (sage.combinat.species.species.GenericCombinatorialSpecies method) restricted_automorphism_group() (sage.geometry.polyhedron.base.Polyhedron_base 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.function_field_valuation.FunctionFieldExtensionMappedValuation method) (sage.rings.function_field.function_field_valuation.FunctionFieldMappedValuationRelative_base method) (sage.rings.function_field.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.homology.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.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.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.KBoundedQuotient method) (sage.combinat.sf.k_dual.KBoundedQuotientBases.ParentMethods method) (sage.combinat.sf.k_dual.kMonomial method) (sage.combinat.sf.k_dual.kbounded_HallLittlewoodP method) (sage.combinat.sf.new_kschur.KBoundedSubspace method) (sage.combinat.sf.new_kschur.K_kSchur method) (sage.manifolds.subset.ManifoldSubset 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) 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.quivers.paths.QuiverPath method) 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.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.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) reverse_intvec() (in module sage.rings.polynomial.real_roots) reverse_rows_and_columns() (sage.matrix.matrix0.Matrix method) reversed() (sage.categories.homset.Homset method) (sage.combinat.composition.Composition method) (sage.combinat.set_partition_ordered.OrderedSetPartition method) (sage.finance.time_series.TimeSeries method) (sage.rings.polynomial.polydict.ETuple method) reversed_word_iterator() (in module sage.combinat.words.word_char) 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.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) 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_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_class (class in sage.combinat.ribbon_shaped_tableau) ribbon_decomposition() (sage.combinat.composition.Composition method) RibbonGraph (class in sage.geometry.ribbon_graph) 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) RibbonShapedTableaux.options() (in module 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.options() (in module 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 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_prime_finite_field method) (sage.schemes.curves.projective_curve.ProjectivePlaneCurve_prime_finite_field method) riemann_sum() (sage.modular.btquotients.pautomorphicform.BruhatTitsHarmonicCocycleElement method) riemann_surface() (sage.schemes.curves.affine_curve.AffinePlaneCurve method) (sage.schemes.curves.projective_curve.ProjectivePlaneCurve 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) 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) RiggedConfigurations.options() (in module 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) riggings() (in module sage.combinat.sf.kfpoly) right() (sage.symbolic.expression.Expression method) right_action_product() (in module sage.combinat.permutation_cython) (sage.combinat.permutation.Permutation method), [1] (sage.combinat.symmetric_group_algebra.SymmetricGroupAlgebra_n method) right_action_same_n() (in module sage.combinat.permutation_cython) 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_divides() (sage.rings.polynomial.skew_polynomial_element.SkewPolynomial 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.skew_polynomial_element.SkewPolynomial 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_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.skew_polynomial_element.SkewPolynomial method) right_mod() (sage.rings.polynomial.skew_polynomial_element.SkewPolynomial method) right_monic() (sage.rings.polynomial.skew_polynomial_element.SkewPolynomial method) right_normal_form() (sage.groups.braid.Braid method) right_nullity() (sage.matrix.matrix2.Matrix method) 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.rings.polynomial.skew_polynomial_element.SkewPolynomial_generic_dense method) right_rotate() (sage.combinat.binary_tree.BinaryTree method) (sage.combinat.binary_tree.LabelledBinaryTree method) right_shift() (sage.libs.flint.fmpz_poly.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.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.skew_polynomial_element.SkewPolynomial 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) rigidity() (sage.groups.braid.Braid 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.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method), [1] (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_sparse method) (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) (sage.rings.polynomial.pbori.BooleSet method) (sage.rings.polynomial.pbori.BooleanMonomial method) (sage.rings.polynomial.pbori.BooleanPolynomial 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() (sage.graphs.graph_generators.GraphGenerators static method) RingElement (class in sage.structure.element) RingHomomorphism (class in sage.rings.morphism) RingHomomorphism_coercion (class in sage.rings.morphism) RingHomomorphism_cover (class in sage.rings.morphism) RingHomomorphism_from_base (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) Rngs (class in sage.categories.rngs) RobertsonGraph() (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() (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) 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_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) 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.backtrack.SearchForest 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.RESetMPExample method) (sage.parallel.map_reduce.RESetMapReduce method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.polynomial.real_roots.ocean method) (sage.schemes.toric.points.NaiveFinitePointEnumerator method) (sage.symbolic.expression.Expression method) 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) rotate() (sage.combinat.growth.GrowthDiagram 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) round() (in module sage.misc.functional) (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_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.cvxopt_sdp_backend.CVXOPTSDPBackend 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_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.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.cvxopt_sdp_backend.CVXOPTSDPBackend 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_reduced_form() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) row_space() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_space.MatrixSpace method) row_stabilizer() (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.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_number) 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) RubiksCube (class in sage.groups.perm_gps.cubegroup) RudinBall() (in module sage.homology.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) 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.repl.ipython_extension) 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_tests() (in module sage.combinat.partitions) 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) runTest() (sage.misc.sage_unittest.InstanceTester method)