Index – R

R (class in sage.interfaces.r) r (sage.combinat.finite_state_machine_generators.TransducerGenerators.RecursionRule attribute) r() (sage.combinat.crystals.kirillov_reshetikhin.KirillovReshetikhinGenericCrystal method) R() (sage.combinat.kazhdan_lusztig.KazhdanLusztigPolynomial method) r() (sage.combinat.rigged_configurations.kr_tableaux.KirillovReshetikhinTableaux 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_matrix() (sage.combinat.crystals.kirillov_reshetikhin.KirillovReshetikhinGenericCrystal method) r_of_D() (sage.sandpiles.sandpile.SandpileDivisor 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) RAction (class in sage.structure.coerce_actions) radical() (in module sage.rings.arith) (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method) (sage.quivers.representation.QuiverRep_generic method) (sage.rings.integer.Integer 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.semisimple_algebras.SemisimpleAlgebras.ParentMethods 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_simplify() (sage.symbolic.expression.Expression 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.eisenstein_extension_generic.EisensteinExtensionGeneric method) (sage.rings.padics.local_generic.LocalGeneric method) (sage.rings.padics.unramified_extension_generic.UnramifiedExtensionGeneric 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.schemes.product_projective.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) rand01() (sage.geometry.polytope.Polymake 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.combinat.combinat.CombinatorialClass method) (sage.databases.cremona.MiniCremonaDatabase method) (sage.graphs.graph_coloring.Test method) (sage.libs.pari.gen.gen_auto 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_DAG() (in module sage.sandpiles.sandpile) random_diagonalizable_matrix() (in module sage.matrix.constructor) random_dictionary() (in module sage.numerical.interactive_simplex_method) random_digraph() (in module sage.sandpiles.sandpile) random_echelonizable_matrix() (in module sage.matrix.constructor) random_edge() (sage.graphs.generic_graph.GenericGraph method) random_element() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method) (sage.algebras.group_algebra.GroupAlgebra 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.sets_cat.Sets.CartesianProducts.ParentMethods method) (sage.coding.linear_code.AbstractLinearCode method) (sage.combinat.affine_permutation.AffinePermutationGroupGeneric method) (sage.combinat.binary_tree.BinaryTrees_size method) (sage.combinat.cartesian_product.CartesianProduct_iters method) (sage.combinat.combinat.CombinatorialClass method) (sage.combinat.composition.Compositions_n 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.multichoose_nk.MultichooseNK 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.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_length_k_over_OrderedAlphabet method) (sage.combinat.words.words.FiniteWords_over_OrderedAlphabet method) (sage.combinat.words.words.Words_over_OrderedAlphabet method) (sage.crypto.mq.mpolynomialsystemgenerator.MPolynomialSystemGenerator method) (sage.crypto.mq.sr.SR_generic 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.group.Group 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.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.contfrac.ContinuedFractionField 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), [1] (sage.rings.fraction_field.FractionField_generic method) (sage.rings.function_field.function_field.FunctionField_polymod method) (sage.rings.function_field.function_field.RationalFunctionField 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_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_generic.MPolynomialRing_generic 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.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.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) (sage.sets.finite_enumerated_set.FiniteEnumeratedSet 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_constructions) 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_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_low_weight_bases() (in module sage.modular.overconvergent.hecke_series) random_matrix() (in module sage.matrix.constructor) random_new_basis_modp() (in module sage.modular.overconvergent.hecke_series) random_order_ideal() (sage.combinat.posets.posets.FinitePoset 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.rings.arith) 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.constructor) 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.constructor) 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_tree() (in module sage.sandpiles.sandpile) random_unimodular_matrix() (in module sage.matrix.constructor) 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_WehlerK3Surface() (in module sage.schemes.product_projective.wehlerK3) RandomBarabasiAlbert() (sage.graphs.graph_generators.GraphGenerators static method) RandomBipartite() (sage.graphs.graph_generators.GraphGenerators static method) RandomBoundedToleranceGraph() (sage.graphs.graph_generators.GraphGenerators static method) RandomComplex() (sage.homology.examples.SimplicialComplexExamples method) RandomDirectedGN() (sage.graphs.digraph_generators.DiGraphGenerators method) RandomDirectedGNC() (sage.graphs.digraph_generators.DiGraphGenerators method) RandomDirectedGNM() (sage.graphs.digraph_generators.DiGraphGenerators method) RandomDirectedGNP() (sage.graphs.digraph_generators.DiGraphGenerators method) RandomDirectedGNR() (sage.graphs.digraph_generators.DiGraphGenerators method) RandomGNM() (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_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_mod2_dense.Matrix_mod2_dense method) (sage.matrix.matrix_mod2e_dense.Matrix_mod2e_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) RandomLinearCode() (in module sage.coding.code_constructions) 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) randomprime() (sage.libs.pari.gen.gen_auto method) RandomRegular() (sage.graphs.graph_generators.GraphGenerators static 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) 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.rings.arith.Moebius method) (sage.rings.integer_ring.IntegerRing_class method) range_by_height() (sage.rings.rational_field.RationalField method) range_singularities() (sage.dynamics.interval_exchanges.iet.IntervalExchangeTransformation method) range_slider (class in sagenb.notebook.interact) range_statistic() (sage.finance.time_series.TimeSeries method) RangeSlider (class in sagenb.notebook.interact) rank() (in module sage.combinat.choose_nk) (in module sage.misc.functional) (sage.algebras.free_algebra_quotient.FreeAlgebraQuotient method) (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method) (sage.categories.enumerated_sets.EnumeratedSets.ElementMethods method) (sage.categories.enumerated_sets.EnumeratedSets.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.combinat.CombinatorialClass method) (sage.combinat.combinat.UnionCombinatorialClass method) (sage.combinat.combination.Combinations_set method) (sage.combinat.combination.Combinations_setk 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.dynkin_diagram.DynkinDiagram_class 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.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.mwrank.interface.mwrank_EllipticCurve method) (sage.libs.mwrank.interface.mwrank_MordellWeil method) (sage.matrix.matrix0.Matrix method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_mod2_dense.Matrix_mod2_dense method) (sage.matrix.matrix_mod2e_dense.Matrix_mod2e_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.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.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.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.mwrank.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) 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() (sagenb.notebook.worksheet.Worksheet method) rating() (sagenb.notebook.worksheet.Worksheet method) ratings() (sagenb.notebook.worksheet.Worksheet method) Rational (class in sage.rings.rational) rational_argument() (sage.rings.qqbar.AlgebraicNumber method) (sage.rings.qqbar.ANExtensionElement method) (sage.rings.qqbar.ANRational method) (sage.rings.qqbar.ANRootOfUnity 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_coefficient_descent() (in module sage.schemes.projective.endPN_automorphism_group) rational_function_coerce() (in module sage.schemes.projective.endPN_automorphism_group) rational_function_reduce() (in module sage.schemes.projective.endPN_automorphism_group) 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_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.schemes.projective.projective_morphism.SchemeMorphism_polynomial_projective_space_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.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) (sage.schemes.generic.algebraic_scheme.AlgebraicScheme_quasi method) (sage.schemes.generic.algebraic_scheme.AlgebraicScheme_subscheme method) (sage.schemes.plane_curves.affine_curve.AffineCurve_finite_field method) (sage.schemes.plane_curves.affine_curve.AffineCurve_prime_finite_field method) (sage.schemes.plane_curves.projective_curve.ProjectiveCurve_finite_field method) (sage.schemes.plane_curves.projective_curve.ProjectiveCurve_prime_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.plane_curves.projective_curve.ProjectiveCurve_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.schemes.projective.projective_morphism.SchemeMorphism_polynomial_projective_space_field method) rational_preperiodic_points() (sage.schemes.projective.projective_morphism.SchemeMorphism_polynomial_projective_space_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_zmod_flint.Polynomial_zmod_flint method) rational_reconstruction() (in module sage.rings.arith) (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_subgroup() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) rational_type() (in module sage.modular.modform_hecketriangle.constructor) rational_value() (sage.rings.qqbar.ANRational method) 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) 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_diagram() (sage.dynamics.flat_surfaces.strata.ConnectedComponentOfAbelianStratum method) (sage.dynamics.interval_exchanges.labelled.FlippedLabelledPermutationIET method) (sage.dynamics.interval_exchanges.labelled.FlippedLabelledPermutationLI method) (sage.dynamics.interval_exchanges.labelled.LabelledPermutationIET method) (sage.dynamics.interval_exchanges.labelled.LabelledPermutationLI method) (sage.dynamics.interval_exchanges.reduced.FlippedReducedPermutationIET method) (sage.dynamics.interval_exchanges.reduced.FlippedReducedPermutationLI method) (sage.dynamics.interval_exchanges.reduced.ReducedPermutationIET method) (sage.dynamics.interval_exchanges.reduced.ReducedPermutationLI method) rauzy_fractal_plot() (sage.combinat.words.morphism.WordMorphism method) rauzy_fractal_points() (sage.combinat.words.morphism.WordMorphism method) rauzy_fractal_projection() (sage.combinat.words.morphism.WordMorphism method) rauzy_graph() (sage.combinat.words.finite_word.FiniteWord_class method) rauzy_move() (sage.dynamics.interval_exchanges.iet.IntervalExchangeTransformation method) (sage.dynamics.interval_exchanges.labelled.FlippedLabelledPermutationIET method) (sage.dynamics.interval_exchanges.labelled.LabelledPermutationIET method) (sage.dynamics.interval_exchanges.template.Permutation method) rauzy_move_interval_substitution() (sage.dynamics.interval_exchanges.labelled.LabelledPermutationIET method) rauzy_move_loser() (sage.dynamics.interval_exchanges.labelled.LabelledPermutation method) rauzy_move_matrix() (sage.dynamics.interval_exchanges.labelled.LabelledPermutation method) rauzy_move_orbit_substitution() (sage.dynamics.interval_exchanges.labelled.LabelledPermutationIET method) rauzy_move_relabel() (sage.dynamics.interval_exchanges.reduced.ReducedPermutationIET method) rauzy_move_winner() (sage.dynamics.interval_exchanges.labelled.LabelledPermutation method) RauzyDiagram (class in sage.dynamics.interval_exchanges.template) RauzyDiagram() (in module sage.dynamics.interval_exchanges.constructors) RauzyDiagram.Path (class in sage.dynamics.interval_exchanges.template) raw() (sage.interfaces.genus2reduction.Genus2reduction method) raw_entry() (sage.databases.oeis.OEISSequence method) raw_signature() (sage.combinat.crystals.generalized_young_walls.GeneralizedYoungWall method) Ray (class in sage.geometry.polyhedron.representation) ray() (in module sage.libs.ppl) (sage.geometry.cone.IntegralRayCollection method) (sage.libs.ppl.Generator static 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) 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) 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.libs.pari.pari_instance.PariInstance method) (sage.libs.pari.pari_instance.PariInstance_auto 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) 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) reading_word_permutation() (sage.combinat.tableau.Tableau method) readonly_user() (sagenb.notebook.notebook.Notebook method) (sagenb.storage.filesystem_storage.FilesystemDatastore method) readstr() (sage.libs.pari.pari_instance.PariInstance_auto method) readvec() (sage.libs.pari.pari_instance.PariInstance_auto method) ready() (sage.interfaces.rubik.OptimalSolver method) real() (sage.interfaces.maxima_abstract.MaximaAbstractElement method) (sage.libs.pari.gen.gen_auto 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_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) RealChart (class in sage.manifolds.chart) RealDiffChart (class in sage.manifolds.differentiable.chart) RealDistribution (class in sage.gsl.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() (sage.homology.cubical_complex.CubicalComplexExamples method) (sage.homology.delta_complex.DeltaComplexExamples method) (sage.homology.examples.SimplicialComplexExamples method) RealProjectiveSpace() (sage.homology.examples.SimplicialComplexExamples method) RealSet (class in sage.sets.real_set) reCAPTCHAChallenge (class in sagenb.notebook.challenge) recfields() (sage.interfaces.gap3.GAP3Record method) reciprocal() (sage.quadratic_forms.quadratic_form.QuadraticForm method) 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) recompute() (in module sagenb.notebook.interact) reconfigure() (sage.geometry.polytope.Polymake method) reconstruct_from_basic() (sagenb.notebook.worksheet.Worksheet method) record_edit() (sagenb.notebook.worksheet.Worksheet method) record_exceptions() (sage.structure.coerce.CoercionModel_cache_maps 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) 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_tail() (in module sage.rings.polynomial.pbori) reduce() (sage.algebras.letterplace.free_algebra_element_letterplace.FreeAlgebraElement_letterplace method) (sage.algebras.letterplace.letterplace_ideal.LetterplaceIdeal method) (sage.groups.finitely_presented.RewritingSystem 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) (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.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.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_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_hex() (in module sage.doctest.parsing) reduce_load() (in module sage.interfaces.gap) (in module sage.interfaces.mathematica) (in module sage.interfaces.singular) 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_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_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.dynamics.interval_exchanges.labelled.FlippedLabelledPermutationIET method) (sage.dynamics.interval_exchanges.labelled.FlippedLabelledPermutationLI method) (sage.dynamics.interval_exchanges.labelled.LabelledPermutationIET method) (sage.dynamics.interval_exchanges.labelled.LabelledPermutationLI 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_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.quadratic_forms.binary_qf.BinaryQF 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_subalgebra() (sage.combinat.posets.incidence_algebras.IncidenceAlgebra method) 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.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) ReducedGroebnerBasis (class in sage.rings.polynomial.groebner_fan) ReducedIncidenceAlgebra (class in sage.combinat.posets.incidence_algebras) ReducedIncidenceAlgebra.Element (class in sage.combinat.posets.incidence_algebras) ReducedPermutation (class in sage.dynamics.interval_exchanges.reduced) ReducedPermutationIET (class in sage.dynamics.interval_exchanges.reduced) ReducedPermutationLI (class in sage.dynamics.interval_exchanges.reduced) ReducedPermutationsIET_iterator() (in module sage.dynamics.interval_exchanges.reduced) ReducedRauzyDiagram (class in sage.dynamics.interval_exchanges.reduced) reducible_by() (sage.rings.polynomial.pbori.BooleanMonomial method) (sage.rings.polynomial.pbori.BooleanPolynomial method) reducible_primes() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method) (sage.schemes.elliptic_curves.gal_reps_number_field.GaloisRepresentation method) 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_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) ReedSolomonCode() (in module sage.coding.code_constructions) reference (in module sage.misc.sagedoc) references() (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.complex_roots) 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.combinat.root_system.ambient_space.AmbientSpace method) (sage.combinat.root_system.coxeter_group.CoxeterGroupAsPermutationGroup 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_group() (sage.combinat.root_system.cartan_matrix.CartanMatrix method) reflection_hyperplane() (sage.combinat.root_system.plot.PlotOptions method) reflection_index_set() (sage.combinat.affine_permutation.AffinePermutationGroupGeneric method) reflection_involution() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method) (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicUHP method) reflection_to_coroot() (sage.categories.weyl_groups.WeylGroups.ElementMethods method) reflection_to_root() (sage.categories.weyl_groups.WeylGroups.ElementMethods method) reflections() (sage.combinat.root_system.weyl_group.WeylGroup_gens 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) register_action() (sage.structure.parent.Parent 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_symbol() (in module sage.symbolic.pynac) register_unpickle_override() (in module sage.structure.sage_object) register_with_cleaner() (in module sagenb.misc.misc)

RegressiveCovariantConstructionCategory (class in sage.categories.covariant_functorial_construction) regular_polygon() (sage.geometry.polyhedron.library.Polytopes method) RegularCrystals (class in sage.categories.regular_crystals) RegularCrystals.ElementMethods (class in sage.categories.regular_crystals) RegularCrystals.ParentMethods (class in sage.categories.regular_crystals) RegularCrystals.TensorProducts (class in sage.categories.regular_crystals) RegularMatroid (class in sage.matroids.linear_matroid) regulator() (in module sage.misc.functional) (sage.libs.mwrank.interface.mwrank_EllipticCurve method) (sage.libs.mwrank.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) relabel() (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.dynkin_diagram.DynkinDiagram_class method) (sage.combinat.root_system.type_marked.CartanType method) (sage.graphs.base.c_graph.CGraphBackend method) (sage.graphs.base.graph_backends.GenericGraphBackend method) (sage.graphs.base.graph_backends.NetworkXGraphBackend 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) 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.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.number_field.number_field.NumberField_absolute method) (sage.rings.number_field.number_field_rel.NumberField_relative 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_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) relative_star_generators() (sage.geometry.fan_morphism.FanMorphism method) relative_vector_space() (sage.rings.number_field.number_field.NumberField_absolute method) (sage.rings.number_field.number_field_rel.NumberField_relative method) RelativeFromAbsolute (class in sage.rings.number_field.structure) RelativeFromRelative (class in sage.rings.number_field.structure) 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.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.mip.MixedIntegerLinearProgram method) remove_constraints() (sage.numerical.backends.generic_backend.GenericBackend method) (sage.numerical.backends.glpk_backend.GLPKBackend 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_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_redundant_automorphisms() (in module sage.schemes.projective.endPN_automorphism_group) remove_repeated() (in module sage.interfaces.tides) 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_generic.MPolynomialRing_generic 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) removeprimes() (sage.libs.pari.gen.gen_auto method) rename() (sage.structure.sage_object.SageObject method) rename_keyword (class in sage.misc.decorators) rename_table() (sage.databases.sql_db.SQLDatabase method) rename_vertex() (in module sage.homology.simplicial_complex) render() (sage.rings.polynomial.groebner_fan.GroebnerFan method) (sagenb.notebook.interact.ColorInput method) (sagenb.notebook.interact.InputBox method) (sagenb.notebook.interact.InputGrid method) (sagenb.notebook.interact.InteractCanvas method) (sagenb.notebook.interact.JavascriptCodeButton method) (sagenb.notebook.interact.RangeSlider method) (sagenb.notebook.interact.Selector method) (sagenb.notebook.interact.Slider method) (sagenb.notebook.interact.TextControl method) (sagenb.notebook.interact.input_box method) (sagenb.notebook.interact.input_grid method) (sagenb.notebook.interact.range_slider method) (sagenb.notebook.interact.selector method) (sagenb.notebook.interact.slider method) (sagenb.notebook.interact.text_control 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() (in module sage.geometry.polyhedron.plot) (sage.geometry.polyhedron.plot.Projection method) render_3d() (in module sage.geometry.polyhedron.plot) (sage.geometry.polyhedron.plot.Projection method) render_4d() (in module sage.geometry.polyhedron.plot) render_controls() (sagenb.notebook.interact.InteractCanvas 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_output() (sagenb.notebook.interact.InteractCanvas 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.ext.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_hook() (in module sage.misc.remote_file) 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.interfaces.macaulay2.Macaulay2Element method) (sage.tensor.differential_form_element.DifferentialFormFormatter method) repr2d() (sage.groups.perm_gps.cubegroup.CubeGroup method) repr_element_method() (sage.monoids.automatic_semigroup.AutomaticSemigroup method) repr_from_monomials() (in module sage.algebras.weyl_algebra) 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_generic.MPolynomialRing_generic method) 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.dynamics.flat_surfaces.strata.ConnectedComponentOfAbelianStratum method) (sage.dynamics.flat_surfaces.strata.EvenConnectedComponentOfAbelianStratum method) (sage.dynamics.flat_surfaces.strata.HypConnectedComponentOfAbelianStratum method) (sage.dynamics.flat_surfaces.strata.OddConnectedComponentOfAbelianStratum method) (sage.groups.conjugacy_classes.ConjugacyClass 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) require() (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.misc.parser.Tokenizer method) (sage.rings.polynomial.symmetric_reduction.SymmetricReductionStrategy method) (sage.structure.global_options.GlobalOptions method) (sagenb.notebook.docHTMLProcessor.SphinxHTMLProcessor method) (sagenb.notebook.docHTMLProcessor.docutilsHTMLProcessor method) reset_cache() (sage.structure.coerce.CoercionModel_cache_maps method) reset_cluster() (sage.combinat.cluster_algebra_quiver.cluster_seed.ClusterSeed method) reset_coefficients() (sage.combinat.cluster_algebra_quiver.cluster_seed.ClusterSeed 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.gsl.probability_distribution.GeneralDiscreteDistribution method) (sage.gsl.probability_distribution.RealDistribution method) (sage.gsl.probability_distribution.SphericalDistribution method) reset_interact_state() (sagenb.notebook.worksheet.Worksheet method) reset_interfaces() (in module sage.misc.reset) reset_load_attach_path() (in module sage.repl.attach) reset_name() (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) reset_state() (in module sagenb.notebook.interact) reshape() (in module sage.plot.plot) residue() (sage.combinat.partition.Partition method) (sage.rings.laurent_series_ring_element.LaurentSeries method) (sage.rings.padics.padic_capped_absolute_element.pAdicCappedAbsoluteElement method) (sage.rings.padics.padic_capped_relative_element.pAdicCappedRelativeElement method) (sage.rings.padics.padic_ext_element.pAdicExtElement method) (sage.rings.padics.padic_fixed_mod_element.pAdicFixedModElement 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.padics.local_generic.LocalGeneric 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.ideal.Ideal_pid method) (sage.rings.integer_ring.IntegerRing_class method) (sage.rings.laurent_series_ring.LaurentSeriesRing_generic 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) 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) residues() (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) resiliency_order() (sage.crypto.boolean_function.BooleanFunction method) Resolution (class in sage.libs.singular.function) resolution() (sage.sandpiles.sandpile.Sandpile 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) restart_sage() (sagenb.notebook.worksheet.Worksheet method) restore() (in module sage.misc.reset) restore_op_wrapper() (in module sage.symbolic.getitem) restrict() (sage.combinat.k_tableau.StrongTableau method) (sage.combinat.skew_tableau.SkewTableau method) (sage.combinat.tableau.Tableau 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.automorphismfield.AutomorphismField method) (sage.manifolds.differentiable.automorphismfield.AutomorphismFieldParal method) (sage.manifolds.differentiable.chart.DiffChart method) (sage.manifolds.differentiable.chart.RealDiffChart 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_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() (in module sage.combinat.partition) RestrictedPartitions_nsk (class in sage.combinat.partition) RestrictedPartitions_nsk.global_options() (in module sage.combinat.partition) restriction() (sage.combinat.set_partition.SetPartition method) (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method) restriction_outer_shape() (sage.combinat.skew_tableau.SkewTableau method) restriction_shape() (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.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.schemes.projective.projective_morphism.SchemeMorphism_polynomial_projective_space method) results (sage.plot.plot3d.implicit_surface.MarchingCubes attribute) retract() (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) (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.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.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.libs.pari.gen.gen method) (sage.quivers.path_semigroup.PathSemigroup 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_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_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_intvec() (in module sage.rings.polynomial.real_roots) reversed() (sage.categories.homset.Homset method) (sage.combinat.composition.Composition method) (sage.combinat.crystals.tensor_product.ImmutableListWithParent method) (sage.finance.time_series.TimeSeries method) (sage.rings.polynomial.polydict.ETuple method) reversed_word_iterator() (in module sage.combinat.words.word_char) reversion() (sage.rings.power_series_poly.PowerSeries_poly method) revert_series() (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) revert_to_last_saved_state() (sagenb.notebook.worksheet.Worksheet method) revert_to_snapshot() (sagenb.notebook.worksheet.Worksheet 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) rewriting_system() (sage.groups.finitely_presented.FinitelyPresentedGroup method) RewritingSystem (class in sage.groups.finitely_presented) 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) rgb() (sage.plot.colors.Color method) rgbcolor() (in module sage.plot.colors) rho() (sage.combinat.root_system.weight_lattice_realizations.WeightLatticeRealizations.ParentMethods 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) rhombic_dodecahedron() (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_class (class in sage.combinat.ribbon_shaped_tableau) ribbon_decomposition() (sage.combinat.composition.Composition method) ribbons_above_marked() (sage.combinat.k_tableau.StrongTableau method) RibbonShapedTableau (class in sage.combinat.ribbon_shaped_tableau) RibbonShapedTableaux (class in sage.combinat.ribbon_shaped_tableau) RibbonShapedTableaux.global_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.global_options() (in module sage.combinat.ribbon_tableau) RibbonTableaux_shape_weight_length (class in sage.combinat.ribbon_tableau) RichReprWarning Riemann_Map (class in sage.calculus.riemann) riemann_map() (sage.calculus.riemann.Riemann_Map method) riemann_roch_basis() (sage.schemes.plane_curves.affine_curve.AffineCurve_prime_finite_field method) (sage.schemes.plane_curves.projective_curve.ProjectiveCurve_prime_finite_field method) riemann_sum() (sage.functions.piecewise.PiecewisePolynomial method) riemann_sum_integral_approximation() (sage.functions.piecewise.PiecewisePolynomial method) 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.global_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) riggings() (in module sage.combinat.sf.kfpoly) right() (sage.graphs.linearextensions.LinearExtensions method) (sage.symbolic.expression.Expression method) right_action_product() (in module sage.combinat.permutation_cython) (sage.combinat.permutation.Permutation method) (sage.combinat.symmetric_group_algebra.SymmetricGroupAlgebra_n method) right_action_same_n() (in module sage.combinat.permutation_cython) right_base_ring() (sage.categories.bimodules.Bimodules method) right_composition() (sage.dynamics.interval_exchanges.template.RauzyDiagram.Path method) right_domain() (sage.categories.action.Action method) 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_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_kernel() (sage.matrix.matrix2.Matrix method) right_kernel_matrix() (sage.matrix.matrix2.Matrix method) right_key_tableau() (sage.combinat.tableau.Tableau 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_rauzy_move() (sage.dynamics.interval_exchanges.labelled.FlippedLabelledPermutationLI method) (sage.dynamics.interval_exchanges.labelled.LabelledPermutationLI method) (sage.dynamics.interval_exchanges.reduced.FlippedReducedPermutation method) (sage.dynamics.interval_exchanges.reduced.ReducedPermutation 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_tableau() (sage.combinat.permutation.Permutation 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) 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.sbox.SBox method) (sage.crypto.mq.sr.SR_generic 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) (sage.rings.ideal.Ideal_generic method) (sage.rings.ideal_monoid.IdealMonoid_c method) (sage.rings.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_integers() (sage.rings.fraction_field.FractionField_1poly_field method) (sage.rings.number_field.number_field_base.NumberField 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) 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.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) rising_factorial() (in module sage.rings.arith) rlimit_address_space() (sage.misc.memory_info.MemoryInfo_base method) rnfalgtobasis() (sage.libs.pari.gen.gen_auto method) rnfbasis() (sage.libs.pari.gen.gen_auto method) rnfbasistoalg() (sage.libs.pari.gen.gen_auto method) rnfcharpoly() (sage.libs.pari.gen.gen_auto method) rnfconductor() (sage.libs.pari.gen.gen_auto method) rnfdedekind() (sage.libs.pari.gen.gen_auto method) rnfdet() (sage.libs.pari.gen.gen_auto method) rnfdisc() (sage.libs.pari.gen.gen_auto method) rnfeltabstorel() (sage.libs.pari.gen.gen_auto method) rnfeltdown() (sage.libs.pari.gen.gen_auto method) rnfeltnorm() (sage.libs.pari.gen.gen_auto method) rnfeltreltoabs() (sage.libs.pari.gen.gen_auto method) rnfelttrace() (sage.libs.pari.gen.gen_auto method) rnfeltup() (sage.libs.pari.gen.gen_auto method) rnfequation() (sage.libs.pari.gen.gen_auto method) rnfhnfbasis() (sage.libs.pari.gen.gen_auto method) rnfidealabstorel() (sage.libs.pari.gen.gen_auto method) rnfidealdown() (sage.libs.pari.gen.gen method) (sage.libs.pari.gen.gen_auto method) rnfidealhnf() (sage.libs.pari.gen.gen_auto method) rnfidealmul() (sage.libs.pari.gen.gen_auto method) rnfidealnormabs() (sage.libs.pari.gen.gen_auto method) rnfidealnormrel() (sage.libs.pari.gen.gen_auto method) rnfidealreltoabs() (sage.libs.pari.gen.gen_auto method) rnfidealtwoelt() (sage.libs.pari.gen.gen_auto method) rnfidealup() (sage.libs.pari.gen.gen_auto method) rnfinit() (sage.libs.pari.gen.gen method) (sage.libs.pari.gen.gen_auto method) rnfisabelian() (sage.libs.pari.gen.gen_auto method) rnfisfree() (sage.libs.pari.gen.gen_auto method) rnfisnorm() (sage.libs.pari.gen.gen method) (sage.libs.pari.gen.gen_auto method) rnfisnorminit() (sage.libs.pari.gen.gen_auto method) rnfkummer() (sage.libs.pari.gen.gen_auto method) rnflllgram() (sage.libs.pari.gen.gen_auto method) rnfnormgroup() (sage.libs.pari.gen.gen_auto method) rnfpolred() (sage.libs.pari.gen.gen method) (sage.libs.pari.gen.gen_auto method) rnfpolredabs() (sage.libs.pari.gen.gen method) (sage.libs.pari.gen.gen_auto method) rnfpolredbest() (sage.libs.pari.gen.gen_auto method) rnfpseudobasis() (sage.libs.pari.gen.gen_auto method) rnfsteinitz() (sage.libs.pari.gen.gen_auto 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_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.polynomial_element.Polynomial method) 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) root_to_elements_dict() (sage.sets.disjoint_set.DisjointSet_of_hashables method) (sage.sets.disjoint_set.DisjointSet_of_integers 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) 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) 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.root_lattice_realizations.RootLatticeRealizations.ParentMethods 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) 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) rotate() (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) round() (in module sage.misc.functional) (sage.libs.pari.gen.gen method) (sage.matrix.matrix_double_dense.Matrix_double_dense 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.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.generic_backend.GenericBackend method) (sage.numerical.backends.glpk_backend.GLPKBackend 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.ppl_backend.PPLBackend method) row_containing_sym() (in module sage.combinat.matrices.latin) 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.generic_backend.GenericBackend method) (sage.numerical.backends.glpk_backend.GLPKBackend method) (sage.numerical.backends.ppl_backend.PPLBackend method) row_reduced_form() (in module sage.matrix.matrix_misc) (sage.matrix.matrix2.Matrix 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_sums() (sage.combinat.gelfand_tsetlin_patterns.GelfandTsetlinPattern method) (sage.combinat.integer_matrices.IntegerMatrices 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) rows() (sage.combinat.tiling.TilingSolver method) (sage.matrix.matrix1.Matrix method) rows_intersection_set() (sage.combinat.skew_partition.SkewPartition method) rplaca() (sage.libs.ecl.EclObject method) rplacd() (sage.libs.ecl.EclObject 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) rshift_coeffs() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) RSK() (in module sage.combinat.rsk) RSK_inverse() (in module sage.combinat.rsk) rst_transform() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) rsw_shuffling_element() (sage.combinat.symmetric_group_algebra.SymmetricGroupAlgebra_n method) Rtype() (sage.combinat.root_system.branching_rules.BranchingRule method) RubiksCube (class in sage.groups.perm_gps.cubegroup) ruler() (in module sage.plot.plot3d.shapes2) ruler_frame() (in module sage.plot.plot3d.shapes2) rules() (sage.groups.finitely_presented.RewritingSystem method) 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.misc.sage_unittest.TestSuite 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_init() (sage.repl.ipython_extension.SageCustomizations 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_simplex_method() (sage.numerical.interactive_simplex_method.InteractiveLPProblemStandardForm method) run_tests() (in module sage.combinat.partitions) run_val_gdb() (sage.doctest.control.DocTestController 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)