Index – P P (class in sage.graphs.pq_trees) p (sage.combinat.ncsym.ncsym.SymmetricFunctionsNonCommutingVariables attribute) P (sage.geometry.polyhedron.combinatorial_polyhedron.face_iterator.FaceIterator_geom attribute) p (sage.matrix.matrix_modn_sparse.Matrix_modn_sparse attribute) (sage.modular.modsym.heilbronn.HeilbronnCremona attribute) (sage.rings.polynomial.pbori.pbori.BooleanPolynomialEntry attribute) P() (in module sage.combinat.designs.steiner_quadruple_systems) p() (sage.algebras.lie_algebras.heisenberg.HeisenbergAlgebra_abstract method) (sage.algebras.lie_algebras.heisenberg.HeisenbergAlgebra_matrix method) P() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) (sage.combinat.kazhdan_lusztig.KazhdanLusztigPolynomial method) (sage.combinat.sf.hall_littlewood.HallLittlewood method) (sage.combinat.sf.jack.Jack method) (sage.combinat.sf.macdonald.Macdonald method) p() (sage.combinat.sf.sf.SymmetricFunctions method) P() (sage.quivers.path_semigroup.PathSemigroup method) p() (sage.rings.continued_fraction.ContinuedFraction_base method) (sage.rings.padics.padic_valuation.pAdicValuation_base method) P() (sage.schemes.toric.library.ToricVarietyFactory method) P1() (sage.modular.pollack_stevens.fund_domain.PollackStevensModularDomain method) (sage.schemes.toric.library.ToricVarietyFactory method) p1_element() (sage.schemes.elliptic_curves.heegner.GaloisAutomorphismQuadraticForm method) p1_normalize() (in module sage.modular.modsym.p1list) p1_normalize_int() (in module sage.modular.modsym.p1list) p1_normalize_llong() (in module sage.modular.modsym.p1list) P1List (class in sage.modular.modsym.p1list) p1list() (in module sage.modular.modsym.p1list) (sage.modular.modsym.ambient.ModularSymbolsAmbient method) p1list_int() (in module sage.modular.modsym.p1list) p1list_llong() (in module sage.modular.modsym.p1list) P1NFList (class in sage.modular.modsym.p1list_nf) p1NFlist() (in module sage.modular.modsym.p1list_nf) P1NFList_clear_level_cache() (in module sage.modular.modsym.p1list_nf) P1xA1() (sage.schemes.toric.library.ToricVarietyFactory method) P1xP1() (sage.schemes.toric.library.ToricVarietyFactory method) P1xP1_Z2() (sage.schemes.toric.library.ToricVarietyFactory method) P2() (sage.schemes.toric.library.ToricVarietyFactory method) P2_112() (sage.schemes.toric.library.ToricVarietyFactory method) P2_123() (sage.schemes.toric.library.ToricVarietyFactory method) p3_group_bitrade_generators() (in module sage.combinat.matrices.latin) P4_11133() (sage.schemes.toric.library.ToricVarietyFactory method) P4_11133_resolved() (sage.schemes.toric.library.ToricVarietyFactory method) P4_11169() (sage.schemes.toric.library.ToricVarietyFactory method) P4_11169_resolved() (sage.schemes.toric.library.ToricVarietyFactory method) P6() (in module sage.matroids.database_matroids) P7() (in module sage.matroids.database_matroids) P8() (in module sage.matroids.database_matroids) P8p() (in module sage.matroids.database_matroids) P8pp() (in module sage.matroids.database_matroids) P9() (in module sage.matroids.database_matroids) p_adic_LLL_bound() (in module sage.rings.number_field.S_unit_solver) p_adic_LLL_bound_one_prime() (in module sage.rings.number_field.S_unit_solver) p_adic_normal_form() (in module sage.quadratic_forms.genera.normal_form) p_adic_symbol() (in module sage.quadratic_forms.genera.genus) p_arg() (sage.misc.parser.Parser method) p_args() (sage.misc.parser.Parser method) p_atom() (sage.misc.parser.Parser method) P_chain() (sage.combinat.growth.GrowthDiagram method) p_eqn() (sage.misc.parser.Parser method) p_exponents() (sage.algebras.lie_algebras.representation.FaithfulRepresentationPBWPosChar method) p_expr() (sage.misc.parser.Parser method) p_factor() (sage.misc.parser.Parser method) P_graph() (sage.combinat.growth.Rule method) p_iter_fork (class in sage.parallel.use_fork) p_list() (sage.misc.parser.Parser method) p_matrix() (sage.misc.parser.Parser method) p_minimal_polynomials() (sage.matrix.compute_J_ideal.ComputeMinimalPolynomials method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) p_part() (in module sage.matrix.compute_J_ideal) p_partition_enumerator() (sage.combinat.posets.posets.FinitePoset method) p_power() (sage.misc.parser.Parser method) p_primary_bound() (sage.schemes.elliptic_curves.sha_tate.Sha method) p_primary_order() (sage.schemes.elliptic_curves.sha_tate.Sha method) p_primary_part() (sage.rings.integer.Integer method) p_projections() (in module sage.schemes.elliptic_curves.saturation) p_radical() (sage.rings.function_field.order_polymod.FunctionFieldMaximalOrder_global method) p_rank() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method) p_saturation() (in module sage.matrix.matrix_integer_dense_saturation) (sage.schemes.elliptic_curves.saturation.EllipticCurveSaturator method) p_sequence() (sage.misc.parser.Parser method) p_stabilize() (sage.modular.pollack_stevens.manin_map.ManinMap method) (sage.modular.pollack_stevens.modsym.PSModularSymbolElement_symk method) p_stabilize_and_lift() (sage.modular.pollack_stevens.modsym.PSModularSymbolElement_symk method) P_symbol() (sage.combinat.growth.GrowthDiagram method) (sage.combinat.growth.RuleDomino method) (sage.combinat.growth.RuleLLMS method) (sage.combinat.growth.RulePartitions method) (sage.combinat.growth.RuleShiftedShapes method) (sage.combinat.growth.RuleSylvester method) p_term() (sage.misc.parser.Parser method) P_to_S() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method) p_tuple() (sage.misc.parser.Parser method) pa() (sage.combinat.sine_gordon.SineGordonYsystem method) package_manifest() (in module sage.misc.package) package_systems() (in module sage.features) package_versions() (in module sage.misc.package) PackageInfo (class in sage.misc.package) PackageSystem (class in sage.features.pkg_systems) packing() (sage.combinat.designs.incidence_structures.IncidenceStructure method), [1] pad_right() (in module sage.combinat.regular_sequence) pad_zeros() (in module sage.matrix.matrix_integer_dense_hnf) (in module sage.misc.misc) padded_list() (sage.modular.modform.element.ModularForm_abstract method) (sage.rings.multi_power_series_ring_element.MPowerSeries method) (sage.rings.polynomial.ore_polynomial_element.OrePolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.power_series_pari.PowerSeries_pari method) (sage.rings.power_series_ring_element.PowerSeries method) pade() (sage.rings.power_series_poly.PowerSeries_poly method) padic_automorphic_forms() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) padic_E2() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) padic_elliptic_logarithm() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_finite_field method) (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method) padic_H_value() (sage.modular.hypergeometric_motive.HypergeometricData method) padic_height() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) (sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method) padic_height_pairing_matrix() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) padic_height_via_multiply() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) padic_lseries() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) (sage.modular.pollack_stevens.modsym.PSModularSymbolElement_dist method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) padic_regulator() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) (sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method) padic_sigma() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) padic_sigma_truncated() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) pAdicAutomorphicFormElement (class in sage.modular.btquotients.pautomorphicform) pAdicAutomorphicForms (class in sage.modular.btquotients.pautomorphicform) pAdicBaseGeneric (class in sage.rings.padics.padic_base_generic) pAdicCappedAbsoluteElement (class in sage.rings.padics.padic_capped_absolute_element) pAdicCappedAbsoluteRingGeneric (class in sage.rings.padics.generic_nodes) pAdicCappedRelativeElement (class in sage.rings.padics.padic_capped_relative_element) pAdicCappedRelativeFieldGeneric (class in sage.rings.padics.generic_nodes) pAdicCappedRelativeRingGeneric (class in sage.rings.padics.generic_nodes) pAdicCoercion_CA_frac_field (class in sage.rings.padics.padic_capped_absolute_element) pAdicCoercion_CR_frac_field (class in sage.rings.padics.padic_capped_relative_element) pAdicCoercion_FM_frac_field (class in sage.rings.padics.padic_fixed_mod_element) pAdicCoercion_QQ_CR (class in sage.rings.padics.padic_capped_relative_element) pAdicCoercion_ZZ_CA (class in sage.rings.padics.padic_capped_absolute_element) pAdicCoercion_ZZ_CR (class in sage.rings.padics.padic_capped_relative_element) pAdicCoercion_ZZ_FM (class in sage.rings.padics.padic_fixed_mod_element) pAdicConvert_CA_frac_field (class in sage.rings.padics.padic_capped_absolute_element) pAdicConvert_CA_ZZ (class in sage.rings.padics.padic_capped_absolute_element) pAdicConvert_CR_frac_field (class in sage.rings.padics.padic_capped_relative_element) pAdicConvert_CR_QQ (class in sage.rings.padics.padic_capped_relative_element) pAdicConvert_CR_ZZ (class in sage.rings.padics.padic_capped_relative_element) pAdicConvert_FM_frac_field (class in sage.rings.padics.padic_fixed_mod_element) pAdicConvert_FM_ZZ (class in sage.rings.padics.padic_fixed_mod_element) pAdicConvert_QQ_CA (class in sage.rings.padics.padic_capped_absolute_element) pAdicConvert_QQ_CR (class in sage.rings.padics.padic_capped_relative_element) pAdicConvert_QQ_FM (class in sage.rings.padics.padic_fixed_mod_element) pAdicEisensteinSeries() (sage.modular.overconvergent.weightspace.WeightCharacter method) pAdicExtElement (class in sage.rings.padics.padic_ext_element) pAdicExtension_class (class in sage.rings.padics.factory) pAdicExtensionGeneric (class in sage.rings.padics.padic_extension_generic) pAdicField (class in sage.rings.abc) pAdicFieldBaseGeneric (class in sage.rings.padics.generic_nodes) pAdicFieldCappedRelative (class in sage.rings.padics.padic_base_leaves) pAdicFieldFloatingPoint (class in sage.rings.padics.padic_base_leaves) pAdicFieldGeneric (class in sage.rings.padics.generic_nodes) pAdicFieldLattice (class in sage.rings.padics.padic_base_leaves) pAdicFieldRelaxed (class in sage.rings.padics.padic_base_leaves) pAdicFixedModElement (class in sage.rings.padics.padic_fixed_mod_element) pAdicFixedModRingGeneric (class in sage.rings.padics.generic_nodes) pAdicFloatingPointFieldGeneric (class in sage.rings.padics.generic_nodes) pAdicFloatingPointRingGeneric (class in sage.rings.padics.generic_nodes) pAdicFromLimitValuation (class in sage.rings.padics.padic_valuation) pAdicGeneric (class in sage.rings.padics.padic_generic) pAdicGenericElement (class in sage.rings.padics.padic_generic_element) pAdicLatticeGeneric (class in sage.rings.padics.generic_nodes) pAdicLseries (class in sage.modular.pollack_stevens.padic_lseries) (class in sage.schemes.elliptic_curves.padic_lseries) pAdicLseriesOrdinary (class in sage.schemes.elliptic_curves.padic_lseries) pAdicLseriesSupersingular (class in sage.schemes.elliptic_curves.padic_lseries) pAdicModuleIsomorphism (class in sage.rings.padics.padic_extension_generic) pAdicPrinter() (in module sage.rings.padics.padic_printing) pAdicPrinter_class (class in sage.rings.padics.padic_printing) pAdicPrinterDefaults (class in sage.rings.padics.padic_printing) pAdicRelaxedGeneric (class in sage.rings.padics.generic_nodes) pAdicRing (class in sage.rings.abc) pAdicRingBaseGeneric (class in sage.rings.padics.generic_nodes) pAdicRingCappedAbsolute (class in sage.rings.padics.padic_base_leaves) pAdicRingCappedRelative (class in sage.rings.padics.padic_base_leaves) pAdicRingFixedMod (class in sage.rings.padics.padic_base_leaves) pAdicRingFloatingPoint (class in sage.rings.padics.padic_base_leaves) pAdicRingGeneric (class in sage.rings.padics.generic_nodes) pAdicRingLattice (class in sage.rings.padics.padic_base_leaves) pAdicRingRelaxed (class in sage.rings.padics.padic_base_leaves) pAdicTemplateElement (class in sage.rings.padics.padic_capped_absolute_element) (class in sage.rings.padics.padic_capped_relative_element) (class in sage.rings.padics.padic_fixed_mod_element) pAdicValuation_base (class in sage.rings.padics.padic_valuation) pAdicValuation_int (class in sage.rings.padics.padic_valuation) pAdicValuation_padic (class in sage.rings.padics.padic_valuation) PadicValuationFactory (class in sage.rings.padics.padic_valuation) pAdicZZpXCAElement (class in sage.rings.padics.padic_ZZ_pX_CA_element) pAdicZZpXCRElement (class in sage.rings.padics.padic_ZZ_pX_CR_element) pAdicZZpXElement (class in sage.rings.padics.padic_ZZ_pX_element) pAdicZZpXFMElement (class in sage.rings.padics.padic_ZZ_pX_FM_element) pager() (in module sage.misc.pager) pagerank() (sage.graphs.generic_graph.GenericGraph method) pair() (sage.algebras.quatalg.quaternion_algebra_element.QuaternionAlgebraElement_abstract method) pair_class (sage.geometry.polyhedron.double_description.Problem attribute) (sage.geometry.polyhedron.double_description.StandardAlgorithm attribute) pair_to_graph() (in module sage.combinat.diagram_algebras), [1] (in module sage.combinat.partition_algebra), [1] paired_sides() (sage.modular.arithgroup.farey_symbol.Farey method) pairing() (in module sage.interfaces.kenzo) pairing_matrices() (sage.modular.arithgroup.farey_symbol.Farey method) pairing_matrices_to_tietze_index() (sage.modular.arithgroup.farey_symbol.Farey method) pairings() (sage.modular.arithgroup.farey_symbol.Farey method) Pairs_Y (class in sage.structure.set_factories_example) pairs_y() (sage.structure.set_factories_example.AllPairs method) PairsX_ (class in sage.structure.set_factories_example) pairwise_product() (sage.modules.free_module_element.FreeModuleElement method) PairwiseBalancedDesign (class in sage.combinat.designs.bibd) PairwiseCompatibleSubsets (class in sage.combinat.subsets_pairwise) pak_correspondence() (in module sage.combinat.hillman_grassl) (sage.combinat.hillman_grassl.WeakReversePlanePartition method) Paley() (sage.graphs.digraph_generators.DiGraphGenerators method) PaleyGraph() (in module sage.graphs.generators.families) (sage.graphs.graph_generators.GraphGenerators static method) palindrome_prefixes() (sage.combinat.words.finite_word.FiniteWord_class method) palindrome_prefixes_iterator() (sage.combinat.words.abstract_word.Word_class method) palindromes() (sage.combinat.words.finite_word.FiniteWord_class method) palindromic_closure() (sage.combinat.words.finite_word.FiniteWord_class method) palindromic_complexity() (sage.combinat.words.finite_word.FiniteWord_class method) palindromic_lacunas_study() (sage.combinat.words.finite_word.FiniteWord_class method) PalindromicDefectWord() (sage.combinat.words.word_generators.WordGenerator method) Pall_mass_density_at_odd_prime() (sage.quadratic_forms.quadratic_form.QuadraticForm method) PALPreader (class in sage.geometry.polyhedron.palp_database) PanAxiom (class in sage.interfaces.axiom) PanAxiomElement (class in sage.interfaces.axiom) PanAxiomExpectFunction (class in sage.interfaces.axiom) PanAxiomFunctionElement (class in sage.interfaces.axiom) Pandoc (class in sage.features.pandoc) panyushev_complement() (sage.categories.finite_posets.FinitePosets.ParentMethods method) panyushev_orbit_iter() (sage.categories.finite_posets.FinitePosets.ParentMethods method) panyushev_orbits() (sage.categories.finite_posets.FinitePosets.ParentMethods method) Pappus() (in module sage.matroids.database_matroids) PappusGraph() (in module sage.graphs.generators.smallgraphs) (sage.graphs.graph_generators.GraphGenerators static method) par_names() (sage.libs.singular.function.RingWrap method) Paraboloid() (sage.geometry.riemannian_manifolds.surface3d_generators.SurfaceGenerators static method) Parallel (class in sage.parallel.decorate) PARALLEL (sage.graphs.graph_decompositions.modular_decomposition.NodeType attribute) parallel() (in module sage.parallel.decorate) parallel_dispatch() (sage.doctest.forker.DocTestDispatcher method) parallel_firing_graph() (in module sage.sandpiles.sandpile) parallel_iter() (in module sage.parallel.multiprocessing_sage) (in module sage.parallel.reference) parallel_reduce() (in module sage.rings.polynomial.pbori.pbori) parallel_translation_numerical() (sage.geometry.riemannian_manifolds.parametrized_surface3d.ParametrizedSurface3D method) ParallelFunction (class in sage.parallel.decorate) Parallelism (class in sage.parallel.parallelism) ParallelogramPolyomino (class in sage.combinat.parallelogram_polyomino) ParallelogramPolyominoes() (in module sage.combinat.parallelogram_polyomino) ParallelogramPolyominoes_all (class in sage.combinat.parallelogram_polyomino) ParallelogramPolyominoes_size (class in sage.combinat.parallelogram_polyomino) ParallelogramPolyominoesFactory (class in sage.combinat.parallelogram_polyomino) ParallelogramPolyominoesOptions (in module sage.combinat.parallelogram_polyomino) parallelotope() (sage.geometry.polyhedron.library.Polytopes method) parameter() (sage.rings.integer_ring.IntegerRing_class method) (sage.rings.polynomial.ore_function_field.OreFunctionField method) (sage.rings.polynomial.ore_polynomial_ring.OrePolynomialRing method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) (sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method) parameter_set() (sage.symbolic.operators.FDerivativeOperator method) parameters() (sage.algebras.lie_algebras.virasoro.ChargelessRepresentation method) (sage.coding.guruswami_sudan.gs_decoder.GRSGuruswamiSudanDecoder method) (sage.coding.information_set_decoder.InformationSetAlgorithm method) (sage.coding.kasami_codes.KasamiCode method) (sage.combinat.regular_sequence.RecurrenceParser method) (sage.combinat.root_system.hecke_algebra_representation.HeckeAlgebraRepresentation method) (sage.modular.modform.eisenstein_submodule.EisensteinSubmodule_params method) (sage.modular.modform.element.EisensteinSeries method) parameters_given_tau() (sage.coding.guruswami_sudan.gs_decoder.GRSGuruswamiSudanDecoder static method) parametric_plot() (in module sage.plot.plot) (sage.plot.plot3d.tachyon.Tachyon method) parametric_plot3d() (in module sage.plot.plot3d.parametric_plot3d) parametric_representation() (sage.schemes.curves.affine_curve.IntegralAffineCurve method) ParametricPlot (class in sage.plot.plot3d.tachyon) ParametricSurface (class in sage.plot.plot3d.parametric_surface) parametrisation_onto_original_curve() (sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method) parametrisation_onto_tate_curve() (sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method) parametrization() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method) (sage.schemes.plane_conics.con_rational_field.ProjectiveConic_rational_field method) ParametrizedSurface3D (class in sage.geometry.riemannian_manifolds.parametrized_surface3d) paramset_from_Expression() (in module sage.symbolic.expression) Parent (class in sage.structure.parent) (class in sage.structure.parent_old) parent (sage_docbuild.ext.sage_autodoc.DataDocumenterMixinBase attribute) parent() (in module sage.structure.element) (sage.algebras.cluster_algebra.ClusterAlgebraSeed method) (sage.categories.map.Map method) (sage.combinat.root_system.weyl_characters.WeightRing method) (sage.combinat.species.structure.GenericSpeciesStructure method) (sage.combinat.words.abstract_word.Word_class method) (sage.geometry.lattice_polytope.LatticePolytopeClass method) (sage.numerical.backends.logging_backend.LoggingBackend method) (sage.rings.function_field.jacobian_base.JacobianGroup_base method) (sage.schemes.elliptic_curves.heegner.GaloisAutomorphism method) (sage.structure.element.Element method) (sage.structure.sage_object.SageObject method) parent_class() (sage.categories.category.Category method) parent_is_integers() (in module sage.structure.coerce) parent_is_numerical() (in module sage.structure.coerce) parent_is_real_numerical() (in module sage.structure.coerce) parent_to_repr_short() (in module sage.rings.asymptotic.misc) parent_with_gens() (sage.misc.sage_input.SageInputBuilder method) ParentLibGAP (class in sage.groups.libgap_wrapper) ParentNewtonPolygon (class in sage.geometry.newton_polygon) ParentWithBase (class in sage.structure.parent_base) ParentWithGens (class in sage.structure.parent_gens) ParentWithSetFactory (class in sage.structure.set_factories) paretovariate() (in module sage.misc.prandom) Pari (class in sage.rings.pari_ring) pari_absolute_base_polynomial() (sage.rings.number_field.number_field_rel.NumberField_relative method) pari_bnf() (sage.rings.number_field.number_field.NumberField_generic method) pari_curve() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) pari_divisors_small() (in module sage.libs.pari.convert_sage) pari_eval() (sage.modular.multiple_zeta.MultizetaValues method) pari_field() (sage.rings.qqbar.AlgebraicGenerator method) pari_hnf() (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) pari_is_prime() (in module sage.libs.pari.convert_sage) pari_is_prime_power() (in module sage.libs.pari.convert_sage) pari_label() (sage.rings.number_field.galois_group.GaloisGroup_v2 method) pari_maxprime() (in module sage.libs.pari.convert_sage) pari_mincurve() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) pari_nf() (sage.rings.number_field.number_field.NumberField_generic method) pari_polynomial() (sage.rings.number_field.number_field.NumberField_generic method) pari_prime() (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) pari_prime_range() (in module sage.libs.pari.convert_sage) pari_relative_polynomial() (sage.rings.number_field.number_field_rel.NumberField_relative method) pari_rhnf() (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) pari_rnf() (sage.rings.number_field.number_field_rel.NumberField_relative method) pari_rnfnorm_data() (sage.rings.number_field.number_field.NumberField_generic method) pari_zk() (sage.rings.number_field.number_field.NumberField_generic method) PariGroup (class in sage.groups.pari_group) PariRing (class in sage.rings.pari_ring) parity() (in module sage.matrix.matrix_mod2_dense) (sage.quadratic_forms.quadratic_form.QuadraticForm method) parity_check_matrix() (sage.coding.cyclic_code.CyclicCode method) (sage.coding.extended_code.ExtendedCode method) (sage.coding.golay_code.GolayCode method) (sage.coding.goppa_code.GoppaCode method) (sage.coding.grs_code.GeneralizedReedSolomonCode method) (sage.coding.hamming_code.HammingCode method) (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) (sage.coding.subfield_subcode.SubfieldSubcode method) parity_column_multipliers() (sage.coding.grs_code.GeneralizedReedSolomonCode method) ParityCheckCode (class in sage.coding.parity_check_code) ParityCheckCodeGeneratorMatrixEncoder (class in sage.coding.parity_check_code) ParityCheckCodeStraightforwardEncoder (class in sage.coding.parity_check_code) parking_functions() (sage.combinat.dyck_word.DyckWord_complete method) parking_permutation() (sage.combinat.parking_functions.ParkingFunction method) ParkingFunction (class in sage.combinat.parking_functions) ParkingFunctions (class in sage.combinat.parking_functions) ParkingFunctions_all (class in sage.combinat.parking_functions) ParkingFunctions_n (class in sage.combinat.parking_functions) parse() (in module sage.logic.logicparser) (sage.combinat.designs.ext_rep.XTreeProcessor method) (sage.doctest.parsing.SageDocTestParser method) (sage.groups.perm_gps.cubegroup.CubeGroup method) (sage.misc.parser.Parser method) parse_color() (in module sage.plot.plot3d.texture) parse_cremona_label() (in module sage.databases.cremona) parse_direct_arguments() (sage.combinat.regular_sequence.RecurrenceParser method) parse_docstring() (sage.doctest.sources.RestSource method) (sage.doctest.sources.SourceLanguage method) parse_ellipsis() (in module sage.repl.preparse) parse_expression() (sage.misc.parser.Parser method) parse_file_optional_tags() (in module sage.doctest.parsing) parse_indices_names() (in module sage.structure.indexed_generators) parse_keywords() (sage.typeset.character_art_factory.CharacterArtFactory method) parse_label() (in module sage.modular.modform.constructor) parse_lmfdb_label() (in module sage.databases.cremona) parse_ltor() (in module sage.logic.logicparser) parse_max_string() (in module sage.interfaces.maxima_lib) parse_moutput_from_json() (in module sage.interfaces.mathematica) parse_name() (sage_docbuild.ext.sage_autodoc.Documenter method) (sage_docbuild.ext.sage_autodoc.ModuleDocumenter method) parse_optional_tags() (in module sage.doctest.parsing) parse_point_list() (in module sage.libs.eclib.mwrank) parse_recurrence() (sage.combinat.regular_sequence.RecurrenceParser method) parse_sequence() (sage.misc.parser.Parser method) parse_tolerance() (in module sage.doctest.parsing) Parser (class in sage.game_theory.parser) (class in sage.misc.parser) part() (sage.categories.triangular_kac_moody_algebras.TriangularKacMoodyAlgebras.ElementMethods method) (sage.geometry.lattice_polytope.NefPartition method) (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) part_of() (sage.geometry.lattice_polytope.NefPartition method) part_of_degree() (sage.schemes.toric.variety.CohomologyClass method) part_of_point() (sage.geometry.lattice_polytope.NefPartition method) part_part_skewschur_symmetrica() (in module sage.libs.symmetrica.symmetrica) part_scalar_jack() (in module sage.combinat.sf.jack) partial_fraction() (sage.symbolic.expression.Expression method) partial_fraction_decomposition() (sage.categories.quotient_fields.QuotientFields.ElementMethods method) (sage.interfaces.maxima_abstract.MaximaAbstractElement method) (sage.symbolic.expression.Expression method) partial_product() (sage.arith.multi_modular.MultiModularBasis_base method) partial_sieve_function() (in module sage.functions.prime_pi) partial_sums() (sage.combinat.composition.Composition method) (sage.combinat.regular_sequence.RegularSequence method) (sage.combinat.words.abstract_word.Word_class method) PartialConversionElement (class in sage.rings.asymptotic.growth_group) PartialConversionValueError PartiallyOrderedMonoids (class in sage.categories.partially_ordered_monoids) PartiallyOrderedMonoids.ElementMethods (class in sage.categories.partially_ordered_monoids) PartiallyOrderedMonoids.ParentMethods (class in sage.categories.partially_ordered_monoids) Partition (class in sage.combinat.partition) partition() (in module sage.rings.polynomial.omega) (sage.combinat.similarity_class_type.PrimarySimilarityClassType method) (sage.combinat.words.word_datatypes.WordDatatype_str method) (sage.groups.perm_gps.symgp_conjugacy_class.SymmetricGroupConjugacyClassMixin method) (sage.matroids.matroid.Matroid method) (sage.plot.plot3d.index_face_set.IndexFaceSet method) partition_algebra() (sage.combinat.diagram_algebras.PottsRepresentation method), [1] partition_at_vertex() (sage.combinat.vector_partition.VectorPartition method) partition_diagrams() (in module sage.combinat.diagram_algebras), [1] partition_function() (sage.combinat.six_vertex_model.SixVertexModel method) partition_of_domain_alphabet() (sage.combinat.words.morphism.WordMorphism method) partition_rigging_lists() (sage.combinat.rigged_configurations.rigged_configuration_element.RiggedConfigurationElement method) partition_sandpile() (in module sage.sandpiles.sandpile) partition_to_vector_of_contents() (in module sage.combinat.symmetric_group_representations) PartitionAlgebra (class in sage.combinat.diagram_algebras), [1] PartitionAlgebra.Element (class in sage.combinat.diagram_algebras), [1] PartitionAlgebra_ak (class in sage.combinat.partition_algebra), [1] PartitionAlgebra_bk (class in sage.combinat.partition_algebra), [1] PartitionAlgebra_generic (class in sage.combinat.partition_algebra), [1] PartitionAlgebra_pk (class in sage.combinat.partition_algebra), [1] PartitionAlgebra_prk (class in sage.combinat.partition_algebra), [1] PartitionAlgebra_rk (class in sage.combinat.partition_algebra), [1] PartitionAlgebra_sk (class in sage.combinat.partition_algebra), [1] PartitionAlgebra_tk (class in sage.combinat.partition_algebra), [1] PartitionAlgebraElement_ak (class in sage.combinat.partition_algebra), [1] PartitionAlgebraElement_bk (class in sage.combinat.partition_algebra), [1] PartitionAlgebraElement_generic (class in sage.combinat.partition_algebra), [1] PartitionAlgebraElement_pk (class in sage.combinat.partition_algebra), [1] PartitionAlgebraElement_prk (class in sage.combinat.partition_algebra), [1] PartitionAlgebraElement_rk (class in sage.combinat.partition_algebra), [1] PartitionAlgebraElement_sk (class in sage.combinat.partition_algebra), [1] PartitionAlgebraElement_tk (class in sage.combinat.partition_algebra), [1] PartitionDiagram (class in sage.combinat.diagram_algebras), [1] PartitionDiagrams (class in sage.combinat.diagram_algebras), [1] PartitionRefinementLinearCode (class in sage.coding.codecan.codecan) Partitions (class in sage.combinat.partition) Partitions_all (class in sage.combinat.partition) Partitions_all_bounded (class in sage.combinat.partition) Partitions_constraints (class in sage.combinat.partition) Partitions_ending (class in sage.combinat.partition) partitions_in_box() (in module sage.combinat.crystals.kirillov_reshetikhin) Partitions_n (class in sage.combinat.partition) Partitions_nk (class in sage.combinat.partition) Partitions_parts_in (class in sage.combinat.partition) Partitions_starting (class in sage.combinat.partition) Partitions_with_constraints (class in sage.combinat.partition) PartitionsGreatestEQ (class in sage.combinat.partition) PartitionsGreatestLE (class in sage.combinat.partition) PartitionsInBox (class in sage.combinat.partition) PartitionSpecies (class in sage.combinat.species.partition_species) PartitionSpecies_class (in module sage.combinat.species.partition_species) PartitionSpeciesStructure (class in sage.combinat.species.partition_species) PartitionStack (class in sage.coding.binary_code) PartitionTuple (class in sage.combinat.partition_tuple) PartitionTuples (class in sage.combinat.partition_tuple) PartitionTuples_all (class in sage.combinat.partition_tuple) PartitionTuples_level (class in sage.combinat.partition_tuple) PartitionTuples_level_size (class in sage.combinat.partition_tuple) PartitionTuples_size (class in sage.combinat.partition_tuple) partner() (sage.combinat.perfect_matching.PerfectMatching method) parts() (sage.geometry.lattice_polytope.NefPartition method) (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_quadratic method) (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) PasechnikGraph() (in module sage.graphs.generators.families) (sage.graphs.graph_generators.GraphGenerators static method) passport() (sage.combinat.constellation.Constellation_class method) pat_sync (sage.interfaces.singular.SingularGBLogPrettyPrinter attribute) Patch (class in sage.combinat.e_one_star) PATH, [1] path() (sage.combinat.crystals.alcove_path.CrystalOfAlcovePathsElement method) (sage.combinat.nu_dyck_word.NuDyckWord method) Path() (sage.graphs.digraph_generators.DiGraphGenerators method) path() (sage.interfaces.expect.Expect method) path_algebra_element_unpickle() (in module sage.quivers.algebra_elements) path_decomposition() (in module sage.graphs.graph_decompositions.vertex_separation) path_distance_metric() (sage.schemes.berkovich.berkovich_cp_element.Berkovich_Element_Cp method) path_from_initial_seed() (sage.algebras.cluster_algebra.ClusterAlgebraSeed method) path_semigroup() (sage.graphs.digraph.DiGraph method) path_track() (sage.interfaces.phc.PHC method) path_weakly_above_other() (in module sage.combinat.nu_dyck_word) PathAlgebra (class in sage.quivers.algebra) PathAlgebraElement (class in sage.quivers.algebra_elements) PathGraph() (in module sage.graphs.generators.basic) (sage.graphs.graph_generators.GraphGenerators static method) paths() (sage.combinat.abstract_tree.AbstractTree method) (sage.combinat.graph_path.GraphPaths_common method) paths_at_depth() (sage.combinat.abstract_tree.AbstractTree method) paths_from_source_to_target() (sage.combinat.graph_path.GraphPaths_common method) paths_in_triangle() (in module sage.combinat.tamari_lattices) paths_to_the_right() (sage.combinat.abstract_tree.AbstractTree method) PathSemigroup (class in sage.quivers.path_semigroup) PathSubset() (in module sage.combinat.cluster_algebra_quiver.cluster_seed) PathTableau (class in sage.combinat.path_tableaux.path_tableau) PathTableaux (class in sage.combinat.path_tableaux.path_tableau) pathwidth() (in module sage.graphs.graph_decompositions.vertex_separation) (sage.graphs.graph.Graph method) pattern_positions() (sage.combinat.permutation.Permutation method) PatternAvoider (class in sage.combinat.permutation) patterns() (sage.combinat.permutation.StandardPermutations_all_avoiding method) (sage.combinat.permutation.StandardPermutations_avoiding_generic method) payoff_matrices() (sage.game_theory.normal_form_game.NormalFormGame method) PBD_4_5_8_9_12() (in module sage.combinat.designs.bibd) PBD_4_7() (in module sage.combinat.designs.resolvable_bibd) PBD_4_7_from_Y() (in module sage.combinat.designs.resolvable_bibd) PBD_from_TD() (in module sage.combinat.designs.bibd) pbw_basis() (sage.algebras.free_algebra.FreeAlgebra_generic method) (sage.algebras.lie_algebras.free_lie_algebra.FreeLieAlgebra.Lyndon method) (sage.algebras.lie_algebras.verma_module.VermaModule method) (sage.categories.lie_algebras_with_basis.LieAlgebrasWithBasis.ParentMethods method) pbw_element() (sage.algebras.free_algebra.FreeAlgebra_generic method) PBWBasisOfFreeAlgebra (class in sage.algebras.free_algebra) PBWBasisOfFreeAlgebra.Element (class in sage.algebras.free_algebra) PBWCrystal (class in sage.combinat.crystals.pbw_crystal) PBWCrystalElement (class in sage.combinat.crystals.pbw_crystal) PBWData (class in sage.combinat.crystals.pbw_datum) PBWDatum (class in sage.combinat.crystals.pbw_datum) PD (sage.geometry.hyperbolic_space.hyperbolic_interface.HyperbolicPlane attribute) pd_code() (sage.knots.link.Link method) pd_notation (sage.databases.knotinfo_db.dc attribute) pd_notation() (sage.knots.knotinfo.KnotInfoBase method) pd_notation_vector (sage.databases.knotinfo_db.dc attribute) pdf() (sage.misc.latex_standalone.Standalone method) (sage_docbuild.builders.DocBuilder method) (sage_docbuild.builders.WebsiteBuilder method) pdf2svg (class in sage.features.pdf2svg) pdf_viewer() (in module sage.misc.viewer) (sage.misc.viewer.Viewer method) pdflatex (class in sage.features.latex) peaks() (sage.combinat.composition.Composition method) (sage.combinat.dyck_word.DyckWord method) (sage.combinat.permutation.Permutation method) pealing() (in module sage.combinat.dyck_word) peek() (sage.misc.parser.Tokenizer method) (sage.repl.preparse.QuoteStack method) peelable_tableaux() (sage.combinat.diagram.NorthwestDiagram method) peirce_decomposition() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method) peirce_summand() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method) PentagonPoset() (sage.combinat.posets.poset_examples.Posets static method) pentakis_dodecahedron() (sage.geometry.polyhedron.library.Polytopes method) perfect_matchings() (sage.graphs.bipartite_graph.BipartiteGraph method) (sage.graphs.graph.Graph method) perfect_matchings_iterator() (in module sage.combinat.combinat_cython) perfect_power() (sage.rings.integer.Integer method) PerfectMatching (class in sage.combinat.perfect_matching) PerfectMatchings (class in sage.combinat.perfect_matching) period() (sage.combinat.binary_recurrence_sequences.BinaryRecurrenceSequence method) (sage.crypto.cryptosystem.Cryptosystem method) (sage.graphs.digraph.DiGraph method) (sage.modular.modform.element.ModularForm_abstract method) (sage.rings.continued_fraction.ContinuedFraction_periodic method) (sage.rings.rational.Rational method) period_lattice() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) period_length() (sage.rings.continued_fraction.ContinuedFraction_periodic method) period_matrix() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method) (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurfaceSum method) periodic_point() (sage.combinat.words.morphism.WordMorphism method) periodic_points() (sage.combinat.words.morphism.WordMorphism method) (sage.dynamics.arithmetic_dynamics.projective_ds.DynamicalSystem_projective method) PeriodicPointIterator (class in sage.combinat.words.morphism) PeriodicRegion (class in sage.schemes.elliptic_curves.period_lattice_region) PeriodicSolitonCellularAutomata (class in sage.dynamics.cellular_automata.solitons) PeriodLattice (class in sage.schemes.elliptic_curves.period_lattice) PeriodLattice_ell (class in sage.schemes.elliptic_curves.period_lattice) PeriodMapping (class in sage.modular.modsym.space) periods() (sage.combinat.words.finite_word.FiniteWord_class method) (sage.manifolds.chart.Chart method) periphery() (sage.graphs.digraph.DiGraph method) (sage.graphs.graph.Graph method) PerkelGraph() (in module sage.graphs.generators.smallgraphs) (sage.graphs.graph_generators.GraphGenerators static method) perm() (sage.combinat.diagram_algebras.BrauerDiagram method), [1] perm_conjugate() (in module sage.combinat.constellation) perm_group() (sage.modular.arithgroup.arithgroup_perm.ArithmeticSubgroup_Permutation_class method) perm_invert() (in module sage.combinat.constellation) perm_mh() (in module sage.combinat.sloane_functions) perm_sym_domain() (in module sage.combinat.constellation) permanent() (sage.matrix.matrix2.Matrix method) permanental_minor() (sage.matrix.matrix2.Matrix method) permanental_minor_polynomial() (in module sage.matrix.matrix_misc) permissable_values() (sage.combinat.matrices.latin.LatinSquare method) perms_are_connected() (in module sage.combinat.constellation) perms_canonical_labels() (in module sage.combinat.constellation) perms_canonical_labels_from() (in module sage.combinat.constellation) perms_sym_init() (in module sage.combinat.constellation) permutahedron() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method) (sage.geometry.polyhedron.library.Polytopes method) Permutation (class in sage.combinat.permutation) permutation() (sage.combinat.colored_permutations.ColoredPermutation method) (sage.groups.braid.Braid method) permutation10() (sage.crypto.block_cipher.sdes.SimplifiedDES method) permutation4() (sage.crypto.block_cipher.sdes.SimplifiedDES method) permutation8() (sage.crypto.block_cipher.sdes.SimplifiedDES method) permutation_action() (in module sage.coding.code_constructions) (sage.modular.arithgroup.arithgroup_perm.ArithmeticSubgroup_Permutation_class method) permutation_automorphism() (sage.algebras.askey_wilson.AskeyWilsonAlgebra method) permutation_automorphism_group() (sage.coding.linear_code.AbstractLinearCode method) permutation_group() (sage.combinat.integer_vectors_mod_permgroup.IntegerVectorsModPermutationGroup_All method) (sage.combinat.integer_vectors_mod_permgroup.IntegerVectorsModPermutationGroup_with_constraints method) (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method) (sage.groups.additive_abelian.additive_abelian_group.AdditiveAbelianGroup_fixed_gens method) (sage.groups.pari_group.PariGroup method) permutation_group_element() (sage.combinat.species.cycle_species.CycleSpeciesStructure method) (sage.combinat.species.permutation_species.PermutationSpeciesStructure method) permutation_iterator_transposition_list() (in module sage.combinat.permutation_cython) permutation_normal_form() (sage.matrix.matrix2.Matrix method) permutation_poset() (sage.combinat.permutation.Permutation method) permutation_sign() (in module sage.rings.asymptotic.asymptotics_multivariate_generating_functions) PermutationGraph() (in module sage.graphs.generators.intersection) (sage.graphs.graph_generators.GraphGenerators static method) PermutationGroup() (in module sage.groups.perm_gps.permgroup) PermutationGroup_action (class in sage.groups.perm_gps.permgroup) PermutationGroup_generic (class in sage.groups.perm_gps.permgroup) PermutationGroup_plg (class in sage.groups.perm_gps.permgroup_named) PermutationGroup_pug (class in sage.groups.perm_gps.permgroup_named) PermutationGroup_subgroup (class in sage.groups.perm_gps.permgroup) PermutationGroup_symalt (class in sage.groups.perm_gps.permgroup_named) PermutationGroup_unique (class in sage.groups.perm_gps.permgroup_named) PermutationGroupElement (class in sage.groups.perm_gps.permgroup_element) PermutationGroupElement() (in module sage.groups.perm_gps.constructor) PermutationGroupFunctor (class in sage.categories.pushout), [1] PermutationGroupMorphism (class in sage.groups.perm_gps.permgroup_morphism) PermutationGroupMorphism_from_gap (class in sage.groups.perm_gps.permgroup_morphism) PermutationGroupMorphism_id (class in sage.groups.perm_gps.permgroup_morphism) PermutationGroupMorphism_im_gens (class in sage.groups.perm_gps.permgroup_morphism) PermutationGroups (class in sage.categories.permutation_groups) PermutationPattern() (sage.combinat.posets.poset_examples.Posets static method) PermutationPatternInterval() (sage.combinat.posets.poset_examples.Posets static method) PermutationPatternOccurrenceInterval() (sage.combinat.posets.poset_examples.Posets static method) Permutations (class in sage.combinat.permutation) permutations (sage.sat.converters.polybori.CNFEncoder attribute) permutations() (sage.geometry.pseudolines.PseudolineArrangement method) Permutations_mset (class in sage.combinat.permutation) Permutations_mset.Element (class in sage.combinat.permutation) Permutations_msetk (class in sage.combinat.permutation) Permutations_nk (class in sage.combinat.permutation) Permutations_nk.Element (class in sage.combinat.permutation) Permutations_set (class in sage.combinat.permutation) Permutations_set.Element (class in sage.combinat.permutation) Permutations_setk (class in sage.combinat.permutation) permutations_to_matrices() (sage.geometry.polyhedron.base.Polyhedron_base method) PermutationsConjugacyClass (class in sage.groups.perm_gps.symgp_conjugacy_class) PermutationsNK (class in sage.combinat.permutation) PermutationSpecies (class in sage.combinat.species.permutation_species) PermutationSpecies_class (in module sage.combinat.species.permutation_species) PermutationSpeciesStructure (class in sage.combinat.species.permutation_species) permute_columns() (sage.matrix.matrix0.Matrix method) permute_decomposition() (in module sage.graphs.graph_decompositions.modular_decomposition) permute_indices() (sage.tensor.modules.tensor_with_indices.TensorWithIndices method) permute_rows() (sage.matrix.matrix0.Matrix method) permute_rows_and_columns() (sage.matrix.matrix0.Matrix method) permute_substitute() (sage.crypto.block_cipher.sdes.SimplifiedDES method) permuted_code() (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) permuted_filling() (sage.combinat.sf.ns_macdonald.AugmentedLatticeDiagramFilling method) permutohedron_greater() (sage.combinat.permutation.Permutation method) permutohedron_join() (sage.combinat.permutation.Permutation method) permutohedron_lequal() (in module sage.combinat.permutation) (sage.combinat.permutation.Permutation method) permutohedron_meet() (sage.combinat.permutation.Permutation method) permutohedron_pred() (sage.combinat.permutation.Permutation method) permutohedron_smaller() (sage.combinat.permutation.Permutation method) permutohedron_succ() (sage.combinat.permutation.Permutation method) perpendicular_bisector() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method) (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicUHP method) PERSID() (sage.misc.explain_pickle.PickleExplainer method) persistence_intervals() (sage.topology.filtered_simplicial_complex.FilteredSimplicialComplex method) petersen_family() (in module sage.graphs.generators.families) (sage.graphs.graph_generators.GraphGenerators static method) PetersenGraph() (in module sage.graphs.generators.smallgraphs) (sage.graphs.graph_generators.GraphGenerators static method) petersson_norm() (sage.modular.modform.element.ModularForm_abstract method) PF (in module sage.combinat.parking_functions) pfaffian() (sage.matrix.matrix2.Matrix method) PG() (in module sage.matroids.database_matroids) PG23() (in module sage.matroids.database_matroids) PGL (class in sage.groups.perm_gps.permgroup_named) PGU (class in sage.groups.perm_gps.permgroup_named) phase() (sage.interfaces.qepcad.Qepcad method) PHC (class in sage.interfaces.phc) PHC_Object (class in sage.interfaces.phc) Phi (sage.combinat.chas.wqsym.WordQuasiSymmetricFunctions attribute) phi (sage.sat.converters.polybori.CNFEncoder property) Phi() (sage.categories.crystals.Crystals.ElementMethods method) phi() (sage.categories.crystals.Crystals.ElementMethods method) (sage.categories.regular_crystals.RegularCrystals.ElementMethods method) (sage.categories.regular_supercrystals.RegularSuperCrystals.ElementMethods method) (sage.combinat.crystals.affine.AffineCrystalFromClassicalElement method) (sage.combinat.crystals.affinization.AffinizationOfCrystal.Element method) (sage.combinat.crystals.alcove_path.CrystalOfAlcovePathsElement method) (sage.combinat.crystals.alcove_path.InfinityCrystalOfAlcovePaths.Element method) (sage.combinat.crystals.direct_sum.DirectSumOfCrystals.Element method) (sage.combinat.crystals.elementary_crystals.ComponentCrystal.Element method) (sage.combinat.crystals.elementary_crystals.ElementaryCrystal.Element method) (sage.combinat.crystals.elementary_crystals.RCrystal.Element method) (sage.combinat.crystals.elementary_crystals.TCrystal.Element method) (sage.combinat.crystals.generalized_young_walls.CrystalOfGeneralizedYoungWallsElement method) Phi() (sage.combinat.crystals.generalized_young_walls.GeneralizedYoungWall method) phi() (sage.combinat.crystals.generalized_young_walls.GeneralizedYoungWall method) (sage.combinat.crystals.induced_structure.InducedCrystal.Element method) (sage.combinat.crystals.induced_structure.InducedFromCrystal.Element method) (sage.combinat.crystals.infinity_crystals.InfinityCrystalOfTableaux.Element method) (sage.combinat.crystals.kac_modules.CrystalOfOddNegativeRoots.Element method) (sage.combinat.crystals.kyoto_path_model.KyotoPathModel.Element method) (sage.combinat.crystals.letters.Crystal_of_letters_type_A_element method) (sage.combinat.crystals.letters.Crystal_of_letters_type_B_element method) (sage.combinat.crystals.letters.Crystal_of_letters_type_C_element method) (sage.combinat.crystals.letters.Crystal_of_letters_type_D_element method) (sage.combinat.crystals.letters.Crystal_of_letters_type_G_element method) (sage.combinat.crystals.letters.EmptyLetter method) (sage.combinat.crystals.letters.LetterTuple method) (sage.combinat.crystals.letters.LetterWrapped method) (sage.combinat.crystals.letters.QueerLetter_element method) (sage.combinat.crystals.littelmann_path.CrystalOfLSPaths.Element method) (sage.combinat.crystals.littelmann_path.InfinityCrystalOfLSPaths.Element method) (sage.combinat.crystals.monomial_crystals.NakajimaMonomial method) (sage.combinat.crystals.multisegments.InfinityCrystalOfMultisegments.Element method) (sage.combinat.crystals.pbw_crystal.PBWCrystalElement method) (sage.combinat.crystals.polyhedral_realization.InfinityCrystalAsPolyhedralRealization.Element method) (sage.combinat.crystals.spins.Spin_crystal_type_B_element method) (sage.combinat.crystals.spins.Spin_crystal_type_D_element method) (sage.combinat.crystals.star_crystal.StarCrystal.Element method) (sage.combinat.crystals.tensor_product_element.TensorProductOfCrystalsElement method) (sage.combinat.crystals.tensor_product_element.TensorProductOfQueerSuperCrystalsElement method) (sage.combinat.crystals.tensor_product_element.TensorProductOfRegularCrystalsElement method) (sage.combinat.crystals.tensor_product_element.TensorProductOfSuperCrystalsElement method) Phi() (sage.combinat.partition_kleshchev.KleshchevCrystalMixin method) phi() (sage.combinat.partition_kleshchev.KleshchevCrystalMixin method) (sage.combinat.rigged_configurations.kr_tableaux.KirillovReshetikhinTableauxElement method) (sage.combinat.rigged_configurations.kr_tableaux.KRTableauxSpinElement method) (sage.combinat.rigged_configurations.kr_tableaux.KRTableauxTypeFromRCElement method) (sage.combinat.rigged_configurations.rigged_configuration_element.KRRCTypeA2DualElement method) (sage.combinat.rigged_configurations.rigged_configuration_element.KRRiggedConfigurationElement method) (sage.combinat.rigged_configurations.rigged_configuration_element.RiggedConfigurationElement method) (sage.combinat.words.finite_word.FiniteWord_class method) (sage.crypto.mq.sr.SR_gf2 method) (sage.crypto.mq.sr.SR_gf2n method) (sage.dynamics.arithmetic_dynamics.wehlerK3.WehlerK3Surface_ring method) (sage.modular.multiple_zeta.Multizetas method) (sage.modular.multiple_zeta.Multizetas.Element method) (sage.modular.multiple_zeta.Multizetas_iterated method) (sage.modular.multiple_zeta.Multizetas_iterated.Element method) (sage.rings.valuation.developing_valuation.DevelopingValuation method) phi0() (sage.combinat.crystals.affine.AffineCrystalFromClassicalAndPromotionElement method) (sage.combinat.crystals.affine.AffineCrystalFromClassicalElement method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_A2Element method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_BnElement method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_boxElement method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_CElement method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_CnElement method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_D_tri1.Element method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_Dn_twistedElement method) Phi2_quad() (in module sage.modular.ssmod.ssmod) phi_as_vector() (sage.modular.multiple_zeta.Multizetas.Element method) phi_extended() (sage.modular.multiple_zeta.Multizetas_iterated method) phi_inv() (sage.combinat.words.finite_word.FiniteWord_class method) Phi_invariant() (sage.rings.invariants.invariant_theory.TwoQuaternaryQuadratics method) phi_minus_epsilon() (sage.categories.crystals.Crystals.ElementMethods method) phi_on_basis() (in module sage.modular.multiple_zeta) phi_on_multiplicative_basis() (in module sage.modular.multiple_zeta) Phi_polys() (in module sage.modular.ssmod.ssmod) Pi (class in sage.symbolic.constants) pi (in module sage.symbolic.constants) pi() (sage.algebras.askey_wilson.AskeyWilsonAlgebra method) (sage.combinat.key_polynomial.KeyPolynomial method) (sage.combinat.sloane_functions.A000796 method) (sage.combinat.subword_complex.SubwordComplex method) (sage.homology.chain_homotopy.ChainContraction method) (sage.rings.complex_arb.ComplexBallField method) (sage.rings.complex_double.ComplexDoubleField_class method) (sage.rings.complex_interval_field.ComplexIntervalField_class method) (sage.rings.complex_mpfr.ComplexField_class method) (sage.rings.real_arb.RealBallField method) (sage.rings.real_double.RealDoubleField_class method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfr.RealField_class method) (sage.symbolic.ring.SymbolicRing method) pi_ik() (in module sage.combinat.symmetric_group_algebra) picard_representatives() (sage.sandpiles.sandpile.Sandpile method) pick_a_basis() (sage.tensor.modules.free_module_tensor.FreeModuleTensor method) pickle() (sage_docbuild.builders.DocBuilder method) pickle_function() (in module sage.misc.fpickle) pickle_wrapper() (in module sage.symbolic.function) PickleDict (class in sage.misc.explain_pickle) PickleExplainer (class in sage.misc.explain_pickle) PickleInstance (class in sage.misc.explain_pickle) picklejar() (in module sage.misc.persist) pickleMethod() (in module sage.misc.fpickle) pickleModule() (in module sage.misc.fpickle) PickleObject (class in sage.misc.explain_pickle) PicoSAT (class in sage.sat.solvers.picosat) picture_set() (in module sage.games.hexad) pid() (sage.interfaces.expect.Expect method) pieces() (sage.combinat.tiling.TilingSolver method) (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method) piecewise_add() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method) PiecewiseFunction (class in sage.functions.piecewise) PiecewiseFunction.EvaluationMethods (class in sage.functions.piecewise) pieri_factors() (sage.categories.weyl_groups.WeylGroups.ParentMethods method) pieri_macdonald_coeffs() (sage.combinat.skew_partition.SkewPartition method) PieriFactors (class in sage.combinat.root_system.pieri_factors) (sage.combinat.root_system.type_A.CartanType attribute) (sage.combinat.root_system.type_A_affine.CartanType attribute) (sage.combinat.root_system.type_B.CartanType attribute) (sage.combinat.root_system.type_B_affine.CartanType attribute) (sage.combinat.root_system.type_C_affine.CartanType attribute) (sage.combinat.root_system.type_D_affine.CartanType attribute) PieriFactors_affine_type (class in sage.combinat.root_system.pieri_factors) PieriFactors_finite_type (class in sage.combinat.root_system.pieri_factors) PieriFactors_type_A (class in sage.combinat.root_system.pieri_factors) PieriFactors_type_A_affine (class in sage.combinat.root_system.pieri_factors) PieriFactors_type_B (class in sage.combinat.root_system.pieri_factors) PieriFactors_type_B_affine (class in sage.combinat.root_system.pieri_factors) PieriFactors_type_C_affine (class in sage.combinat.root_system.pieri_factors) PieriFactors_type_D_affine (class in sage.combinat.root_system.pieri_factors) Pigs() (in module sage.game_theory.catalog_normal_form_games) pil (sage.repl.image.Image property) pip_installed_packages() (in module sage.misc.package) pip_remote_version() (in module sage.misc.package) pipe() (sage.combinat.set_partition.SetPartition method) PipPackageSystem (class in sage.features.pkg_systems) pisot_eigenvector_left() (sage.combinat.words.morphism.WordMorphism method) pisot_eigenvector_right() (sage.combinat.words.morphism.WordMorphism method) pivot_rows() (sage.matrix.matrix2.Matrix method) PivotedInequalities (class in sage.geometry.polyhedron.double_description_inhomogeneous) pivots() (sage.matrix.matrix0.Matrix method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_mpolynomial_dense.Matrix_mpolynomial_dense method) pivots_of_hnf_matrix() (in module sage.matrix.matrix_integer_dense_hnf) pixels() (sage.repl.image.Image method) PK10() (in module sage.matroids.database_matroids) pkgname_split() (in module sage.misc.package) place() (sage.rings.function_field.ideal.FunctionFieldIdeal method) (sage.rings.function_field.valuation_ring.FunctionFieldValuationRing method) (sage.schemes.curves.closed_point.IntegralCurveClosedPoint method) (sage.schemes.curves.point.IntegralAffineCurvePoint method) (sage.schemes.curves.point.IntegralProjectiveCurvePoint method) place_below() (sage.rings.function_field.place_polymod.FunctionFieldPlace_polymod method) place_infinite() (sage.rings.function_field.function_field_rational.RationalFunctionField_global method) place_set() (sage.rings.function_field.function_field.FunctionField method) place_to_closed_point() (sage.schemes.curves.affine_curve.IntegralAffineCurve method) (sage.schemes.curves.projective_curve.IntegralProjectiveCurve method) places() (sage.rings.function_field.function_field_polymod.FunctionField_global method) (sage.rings.function_field.function_field_rational.RationalFunctionField_global method) (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) (sage.schemes.curves.affine_curve.IntegralAffineCurve_finite_field method) (sage.schemes.curves.closed_point.IntegralCurveClosedPoint method) (sage.schemes.curves.point.IntegralAffineCurvePoint method) (sage.schemes.curves.point.IntegralProjectiveCurvePoint method) (sage.schemes.curves.projective_curve.IntegralProjectiveCurve_finite_field method) places_above() (sage.rings.function_field.function_field_polymod.FunctionField_simple method) places_at_branch_locus() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method) places_at_infinity() (sage.schemes.curves.affine_curve.IntegralAffineCurve method) places_finite() (sage.rings.function_field.function_field_polymod.FunctionField_global method) (sage.rings.function_field.function_field_rational.RationalFunctionField_global method) places_infinite() (sage.rings.function_field.function_field_polymod.FunctionField_simple method) places_on() (sage.schemes.curves.affine_curve.IntegralAffineCurve method) (sage.schemes.curves.projective_curve.IntegralProjectiveCurve method) PlaceSet (class in sage.rings.function_field.place) placing_triangulation() (sage.geometry.triangulation.point_configuration.PointConfiguration method) plain_text_formatter() (sage.repl.rich_output.backend_base.BackendBase method) PlainPythonRepr (class in sage.repl.display.fancy_repr) plaintext_space() (sage.crypto.cryptosystem.Cryptosystem method) planar_diagrams() (in module sage.combinat.diagram_algebras), [1] planar_dual() (sage.graphs.generic_graph.GenericGraph method) planar_graphs() (sage.graphs.graph_generators.GraphGenerators method) planar_partitions_rec() (in module sage.combinat.diagram_algebras), [1] PlanarAlgebra (class in sage.combinat.diagram_algebras), [1] PlanarDiagram (class in sage.combinat.diagram_algebras), [1] PlanarDiagrams (class in sage.combinat.diagram_algebras), [1] plancherel_measure() (sage.combinat.partition.Partition method) Plane (class in sage.categories.examples.manifolds) (class in sage.plot.plot3d.tachyon) plane() (sage.plot.plot3d.tachyon.Tachyon method) plane_inequality() (in module sage.modules.diamond_cutting) plane_projection() (sage.schemes.curves.affine_curve.AffineCurve_field method) (sage.schemes.curves.projective_curve.ProjectiveCurve method) PlaneCurveArrangementElement (class in sage.schemes.curves.plane_curve_arrangement) PlaneCurveArrangements (class in sage.schemes.curves.plane_curve_arrangement) PlanePartition (class in sage.combinat.plane_partition) PlanePartitions (class in sage.combinat.plane_partition) PlanePartitions_all (class in sage.combinat.plane_partition) PlanePartitions_box (class in sage.combinat.plane_partition) PlanePartitions_CSPP (class in sage.combinat.plane_partition) PlanePartitions_CSSCPP (class in sage.combinat.plane_partition) PlanePartitions_CSTCPP (class in sage.combinat.plane_partition) PlanePartitions_n (class in sage.combinat.plane_partition) PlanePartitions_SCPP (class in sage.combinat.plane_partition) PlanePartitions_SPP (class in sage.combinat.plane_partition) PlanePartitions_SSCPP (class in sage.combinat.plane_partition) PlanePartitions_TCPP (class in sage.combinat.plane_partition) PlanePartitions_TSPP (class in sage.combinat.plane_partition) PlanePartitions_TSSCPP (class in sage.combinat.plane_partition) Plantri (class in sage.features.graph_generators) plantri_gen() (sage.graphs.graph_generators.GraphGenerators method) platonic_solids (sage.graphs.graph_generators.GraphGenerators attribute) Player (class in sage.game_theory.matching_game) ple() (in module sage.matrix.matrix_mod2_dense) plethysm() (sage.combinat.sf.sfa.SymmetricFunctionAlgebra_generic_Element method) (sage.rings.lazy_series.LazySymmetricFunction method) plethysm_symmetrica() (in module sage.libs.symmetrica.symmetrica) plethystic_inverse() (sage.rings.lazy_series.LazySymmetricFunction method) plot() (in module sage.geometry.hyperplane_arrangement.plot) (in module sage.plot.plot) (sage.arith.misc.Euler_Phi method) (sage.arith.misc.Moebius method) (sage.arith.misc.Sigma method) (sage.calculus.transforms.dft.IndexedSequence method) (sage.calculus.transforms.dwt.DiscreteWaveletTransform method) (sage.calculus.transforms.fft.FastFourierTransform_complex method) (sage.categories.crystals.Crystals.ParentMethods method) (sage.combinat.cluster_algebra_quiver.cluster_seed.ClusterSeed method) (sage.combinat.cluster_algebra_quiver.quiver.ClusterQuiver method) (sage.combinat.cluster_algebra_quiver.quiver_mutation_type.QuiverMutationType_abstract method) (sage.combinat.crystals.alcove_path.CrystalOfAlcovePathsElement method) (sage.combinat.crystals.mv_polytopes.MVPolytope method) (sage.combinat.dyck_word.DyckWord method) (sage.combinat.e_one_star.Patch method) (sage.combinat.finite_state_machine.FiniteStateMachine method) (sage.combinat.fully_packed_loop.FullyPackedLoop method) (sage.combinat.interval_posets.TamariIntervalPoset method) (sage.combinat.knutson_tao_puzzles.KnutsonTaoPuzzleSolver method) (sage.combinat.knutson_tao_puzzles.PuzzleFilling method) (sage.combinat.nu_dyck_word.NuDyckWord method) (sage.combinat.ordered_tree.OrderedTree method) (sage.combinat.parallelogram_polyomino.ParallelogramPolyomino method) (sage.combinat.path_tableaux.frieze.FriezePattern method) (sage.combinat.plane_partition.PlanePartition method) (sage.combinat.posets.posets.FinitePoset method) (sage.combinat.rigged_configurations.kleber_tree.KleberTree method) (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) (sage.combinat.set_partition.SetPartition method) (sage.combinat.sine_gordon.SineGordonYsystem method) (sage.combinat.six_vertex_model.SixVertexConfiguration method) (sage.combinat.subword_complex.SubwordComplexFacet method) (sage.combinat.tableau.Tableau method) (sage.combinat.words.paths.FiniteWordPath_2d method) (sage.combinat.words.paths.FiniteWordPath_3d method) (sage.combinat.words.suffix_trees.ImplicitSuffixTree method) (sage.combinat.words.suffix_trees.SuffixTrie method) (sage.combinat.yang_baxter_graph.YangBaxterGraph_generic method) (sage.dynamics.cellular_automata.elementary.ElementaryCellularAutomata method) (sage.dynamics.cellular_automata.glca.GraftalLaceCellularAutomata method) (sage.functions.prime_pi.PrimePi method) (sage.functions.spike_function.SpikeFunction method) (sage.game_theory.matching_game.MatchingGame method) (sage.geometry.cone.ConvexRationalPolyhedralCone method) (sage.geometry.cone.IntegralRayCollection method) (sage.geometry.fan.RationalPolyhedralFan method) (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicHM method) (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicKM method) (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicPD method) (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicUHP method) (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method) (sage.geometry.hyperplane_arrangement.hyperplane.Hyperplane method) (sage.geometry.newton_polygon.NewtonPolygon_element method) (sage.geometry.polyhedral_complex.PolyhedralComplex method) (sage.geometry.polyhedron.base6.Polyhedron_base6 method) (sage.geometry.polyhedron.ppl_lattice_polygon.LatticePolygon_PPL_class method) (sage.geometry.riemannian_manifolds.parametrized_surface3d.ParametrizedSurface3D method) (sage.geometry.toric_lattice.ToricLattice_ambient method) (sage.geometry.toric_lattice.ToricLattice_sublattice_with_basis method) (sage.geometry.triangulation.element.Triangulation method) (sage.geometry.triangulation.point_configuration.PointConfiguration method) (sage.geometry.voronoi_diagram.VoronoiDiagram method) (sage.graphs.bipartite_graph.BipartiteGraph method) (sage.graphs.generic_graph.GenericGraph method) (sage.graphs.graph_plot.GraphPlot method), [1] (sage.groups.braid.Braid method) (sage.groups.perm_gps.cubegroup.RubiksCube method) (sage.interfaces.gnuplot.Gnuplot method) (sage.interfaces.r.R method) (sage.knots.link.Link method) (sage.manifolds.chart.RealChart method) (sage.manifolds.differentiable.curve.DifferentiableCurve method) (sage.manifolds.differentiable.tangent_vector.TangentVector method) (sage.manifolds.differentiable.vectorfield.VectorField method) (sage.manifolds.point.ManifoldPoint method) (sage.manifolds.topological_submanifold.TopologicalSubmanifold method) (sage.matrix.matrix2.Matrix method) (sage.matroids.matroid.Matroid method) (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) (sage.modules.free_module_element.FreeModuleElement method) (sage.numerical.interactive_simplex_method.InteractiveLPProblem method) (sage.plot.graphics.Graphics method) (sage.plot.multigraphics.MultiGraphics method) (sage.plot.plot3d.base.Graphics3d method) (sage.plot.plot3d.base.Graphics3dGroup method) (sage.plot.plot3d.parametric_surface.ParametricSurface method) (sage.plot.plot3d.tachyon.Tachyon method) (sage.probability.probability_distribution.RealDistribution method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.padics.padic_base_generic.pAdicBaseGeneric method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.schemes.curves.affine_curve.AffinePlaneCurve method) (sage.schemes.curves.projective_curve.ProjectivePlaneCurve method) (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method) (sage.schemes.elliptic_curves.heegner.HeegnerPointOnX0N method) (sage.schemes.elliptic_curves.heegner.HeegnerPoints_level_disc_cond method) (sage.schemes.elliptic_curves.heegner.KolyvaginPoint method) (sage.schemes.elliptic_curves.period_lattice_region.PeriodicRegion method) (sage.schemes.toric.variety.ToricVariety_field method) (sage.stats.hmm.distributions.Distribution method) (sage.stats.intlist.IntList method) (sage.symbolic.expression.Expression method) plot2d() (sage.interfaces.maxima_abstract.MaximaAbstract method) plot2d_parametric() (sage.interfaces.maxima_abstract.MaximaAbstract method) plot3d() (in module sage.plot.plot3d.plot3d) (sage.categories.crystals.Crystals.ParentMethods method) (sage.combinat.e_one_star.Patch method) (sage.combinat.plane_partition.PlanePartition method) (sage.geometry.lattice_polytope.LatticePolytopeClass method) (sage.graphs.generic_graph.GenericGraph method) (sage.groups.braid.Braid method) (sage.groups.perm_gps.cubegroup.RubiksCube method) (sage.interfaces.gnuplot.Gnuplot method) (sage.interfaces.maxima_abstract.MaximaAbstract method) (sage.plot.arc.Arc method) (sage.plot.arrow.Arrow method) (sage.plot.bezier_path.BezierPath method) (sage.plot.circle.Circle method) (sage.plot.disk.Disk method) (sage.plot.ellipse.Ellipse method) (sage.plot.graphics.Graphics method) (sage.plot.line.Line method) (sage.plot.point.Point method) (sage.plot.polygon.Polygon method) (sage.plot.primitive.GraphicPrimitive method) (sage.plot.text.Text method) plot3d_adaptive() (in module sage.plot.plot3d.plot3d) plot3d_cube() (sage.groups.perm_gps.cubegroup.CubeGroup method) plot3d_cubie() (in module sage.groups.perm_gps.cubegroup) plot3d_parametric() (sage.interfaces.gnuplot.Gnuplot method) (sage.interfaces.maxima_abstract.MaximaAbstract method) plot_alcove_walk() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_alcoves() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_block() (sage.plot.plot3d.tri_plot.TrianglePlot method) plot_boundaries() (sage.calculus.riemann.Riemann_Map method) plot_bounding_box() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_colored() (sage.calculus.riemann.Riemann_Map method) plot_comparison() (sage.rings.asymptotic.asymptotic_ring.AsymptoticExpansion method) plot_coroots() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_crystal() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_cube() (sage.groups.perm_gps.cubegroup.CubeGroup method) plot_directive_vector() (sage.combinat.words.paths.FiniteWordPath_2d method) plot_feasible_set() (sage.numerical.interactive_simplex_method.InteractiveLPProblem method) plot_fft_abs() (sage.functions.spike_function.SpikeFunction method) plot_fft_arg() (sage.functions.spike_function.SpikeFunction method) plot_fundamental_chamber() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_fundamental_weights() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_fundom() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) plot_generators() (sage.geometry.toric_plotter.ToricPlotter method) plot_heap() (sage.combinat.fully_commutative_elements.FullyCommutativeElement method) plot_hedron() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_histogram() (sage.calculus.transforms.dft.IndexedSequence method) (sage.stats.intlist.IntList method) plot_hyperplane() (in module sage.geometry.hyperplane_arrangement.plot) plot_integrated() (sage.manifolds.differentiable.integrated_curve.IntegratedCurve method) plot_labels() (sage.geometry.toric_plotter.ToricPlotter method) plot_lattice() (sage.geometry.toric_plotter.ToricPlotter method) plot_list() (sage.interfaces.maxima_abstract.MaximaAbstract method) plot_loglog() (in module sage.plot.plot) plot_ls_paths() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_multilist() (sage.interfaces.maxima_abstract.MaximaAbstract method) plot_mv_polytope() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_parse_options() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_paths() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method) plot_paths3d() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method) plot_paths_2d() (sage.interfaces.phc.PHC method) plot_points (sage.plot.plot3d.implicit_surface.ImplicitSurface attribute) plot_points() (sage.geometry.toric_plotter.ToricPlotter method) plot_projection() (sage.combinat.words.paths.FiniteWordPath_all method) plot_ray_labels() (sage.geometry.toric_plotter.ToricPlotter method) plot_rays() (sage.geometry.toric_plotter.ToricPlotter method) plot_reflection_hyperplanes() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_roots() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_semilogx() (in module sage.plot.plot) plot_semilogy() (in module sage.plot.plot) plot_slope_field() (in module sage.plot.plot_field) plot_solution() (sage.calculus.ode.ode_solver method) plot_spiderweb() (sage.calculus.riemann.Riemann_Map method) plot_step() (sage.modules.free_module_element.FreeModuleElement method) plot_step_function() (in module sage.plot.step) plot_tikz() (sage.combinat.e_one_star.Patch method) plot_vector_field() (in module sage.plot.plot_field) plot_vector_field3d() (in module sage.plot.plot3d.plot_field3d) plot_walls() (sage.geometry.toric_plotter.ToricPlotter method) PlotBlock (class in sage.plot.plot3d.tri_plot) PlotField (class in sage.plot.plot_field) plotkin_bound_asymp() (in module sage.coding.code_bounds) plotkin_upper_bound() (in module sage.coding.code_bounds) PlotOptions (class in sage.combinat.root_system.plot) pluq() (in module sage.matrix.matrix_mod2_dense) plus_part() (sage.modular.pollack_stevens.modsym.PSModularSymbolElement method) plus_submodule() (sage.modular.modsym.space.ModularSymbolsSpace method) PlusInfinity (class in sage.rings.infinity) PlusMinusOneMatrix (class in sage.matroids.lean_matrix) ply_ascii_string() (sage.plot.plot3d.base.Graphics3d method) PMDiagram (class in sage.combinat.crystals.kirillov_reshetikhin) png() (in module sage.misc.latex) (sage.interfaces.r.R method) (sage.misc.latex_standalone.Standalone method) (sage.plot.animate.Animation method) png_viewer() (in module sage.misc.viewer) (sage.misc.viewer.Viewer method) poincare_birkhoff_witt_basis() (sage.algebras.free_algebra.FreeAlgebra_generic method) (sage.algebras.lie_algebras.free_lie_algebra.FreeLieAlgebra.Lyndon method) (sage.algebras.lie_algebras.verma_module.VermaModule method) (sage.categories.lie_algebras_with_basis.LieAlgebrasWithBasis.ParentMethods method) poincare_polynomial() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method) poincare_semistable() (sage.combinat.cluster_algebra_quiver.quiver.ClusterQuiver method) poincare_series() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method) PoincareBirkhoffWittBasis (class in sage.algebras.lie_algebras.poincare_birkhoff_witt) PoincareBirkhoffWittBasis.Element (class in sage.algebras.lie_algebras.poincare_birkhoff_witt) PoincareDisk (sage.geometry.hyperbolic_space.hyperbolic_interface.HyperbolicPlane attribute) PoincareHomologyThreeSphere() (in module sage.topology.simplicial_complex_examples) Point (class in sage.geometry.triangulation.base) (class in sage.plot.plot3d.shapes2) (class in sage.plot.point) point() (in module sage.plot.point) Point() (in module sage.topology.simplicial_set_examples) point() (sage.geometry.hyperplane_arrangement.affine_subspace.AffineSubspace method) (sage.geometry.hyperplane_arrangement.hyperplane.Hyperplane method) (sage.geometry.lattice_polytope.LatticePolytopeClass method) (sage.geometry.riemannian_manifolds.parametrized_surface3d.ParametrizedSurface3D method) (sage.geometry.triangulation.base.PointConfiguration_base method) (sage.manifolds.subset.ManifoldSubset method) (sage.rings.function_field.jacobian_hess.JacobianGroup method) (sage.rings.function_field.jacobian_khuri_makdisi.JacobianGroup method) (sage.schemes.generic.scheme.Scheme method) (sage.schemes.hyperelliptic_curves.jacobian_generic.HyperellipticJacobian_generic method) (sage.schemes.plane_conics.con_field.ProjectiveConic_field method) (sage.schemes.projective.projective_space.ProjectiveSpace_ring method) (sage.schemes.projective.projective_subscheme.AlgebraicScheme_subscheme_projective method) (sage.sets.real_set.RealSet static method) point2d() (in module sage.plot.point) point3d() (in module sage.plot.plot3d.shapes2) point_configuration() (sage.geometry.triangulation.base.Point method) (sage.geometry.triangulation.element.Triangulation method) point_exact() (sage.schemes.elliptic_curves.heegner.HeegnerPointOnEllipticCurve method) (sage.schemes.elliptic_curves.heegner.KolyvaginPoint method) point_homset() (sage.schemes.generic.scheme.Scheme method) point_in_model() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelHM method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelKM method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelPD method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelUHP method) point_list_bounding_box() (in module sage.plot.plot3d.base) point_of_jacobian_of_curve() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method) (sage.schemes.hyperelliptic_curves.jacobian_morphism.JacobianMorphism_divisor_class_field method) point_of_order() (in module sage.schemes.elliptic_curves.ell_field) point_on_affine() (sage.schemes.generic.point.SchemeTopologicalPoint_affine_open method) point_search() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) point_set() (sage.schemes.generic.scheme.Scheme method) point_test() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) point_transformation_matrix() (sage.schemes.projective.projective_space.ProjectiveSpace_ring method) PointCollection (class in sage.geometry.point_collection) PointConfiguration (class in sage.geometry.triangulation.point_configuration) PointConfiguration_base (class in sage.geometry.triangulation.base) Pointed() (sage.categories.simplicial_sets.SimplicialSets.SubcategoryMethods method) PointedSets (class in sage.categories.pointed_sets) pointing() (sage.combinat.species.generating_series.CycleIndexSeries method) points() (in module sage.plot.point) (sage.coding.reed_muller_code.ReedMullerPolynomialEncoder method) (sage.coding.reed_muller_code.ReedMullerVectorEncoder method) (sage.combinat.nu_dyck_word.NuDyckWord method) (sage.combinat.words.paths.FiniteWordPath_all method) (sage.geometry.lattice_polytope.LatticePolytopeClass method) (sage.geometry.triangulation.base.PointConfiguration_base method) (sage.geometry.voronoi_diagram.VoronoiDiagram method) (sage.libs.eclib.interface.mwrank_MordellWeil method) (sage.sandpiles.sandpile.Sandpile method) (sage.schemes.affine.affine_homset.SchemeHomset_points_affine method) (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) (sage.schemes.elliptic_curves.ell_torsion.EllipticCurveTorsionSubgroup method) (sage.schemes.elliptic_curves.heegner.HeegnerPoints_level_disc_cond method) (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method) (sage.schemes.product_projective.homset.SchemeHomset_points_product_projective_spaces_field method) (sage.schemes.projective.projective_homset.SchemeHomset_points_projective_field method) (sage.schemes.projective.projective_homset.SchemeHomset_points_projective_ring method) points_of_bounded_height() (sage.schemes.affine.affine_space.AffineSpace_field method) (sage.schemes.product_projective.space.ProductProjectiveSpaces_field method) (sage.schemes.projective.projective_space.ProjectiveSpace_ring method) pointsets_mod_automorphism() (sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method) pointwise_inverse() (sage.modules.with_basis.morphism.PointwiseInverseFunction method) pointwise_inverse_function() (in module sage.modules.with_basis.morphism) PointwiseInverseFunction (class in sage.modules.with_basis.morphism) poison_currRing() (in module sage.libs.singular.ring) poisson() (sage.manifolds.differentiable.symplectic_form.SymplecticForm method) (sage.manifolds.differentiable.symplectic_form.SymplecticFormParal method) poisson_bracket() (sage.manifolds.differentiable.poisson_tensor.PoissonTensorField method) (sage.manifolds.differentiable.symplectic_form.SymplecticForm method) poisson_tensor() (sage.manifolds.differentiable.manifold.DifferentiableManifold method) (sage.manifolds.differentiable.vectorfield_module.VectorFieldFreeModule method) (sage.manifolds.differentiable.vectorfield_module.VectorFieldModule method) PoissonTensorField (class in sage.manifolds.differentiable.poisson_tensor) PoissonTensorFieldParal (class in sage.manifolds.differentiable.poisson_tensor) pol_curr (sage.interfaces.magma.MagmaGBLogPrettyPrinter attribute) pol_ring() (sage.modular.modform_hecketriangle.abstract_ring.FormsRing_abstract method) polar() (sage.geometry.lattice_polytope.LatticePolytopeClass method) (sage.geometry.polyhedron.base5.Polyhedron_base5 method) (sage.geometry.polyhedron.base_ZZ.Polyhedron_ZZ method) (sage.geometry.polyhedron.combinatorial_polyhedron.base.CombinatorialPolyhedron method) polar_conic() (sage.rings.invariants.invariant_theory.TernaryCubic method) polar_coordinates() (sage.manifolds.differentiable.examples.euclidean.EuclideanPlane method), [1] polar_frame() (sage.manifolds.differentiable.examples.euclidean.EuclideanPlane method), [1] polar_P1xP1_polytope() (in module sage.geometry.polyhedron.ppl_lattice_polygon) polar_P2_112_polytope() (in module sage.geometry.polyhedron.ppl_lattice_polygon) polar_P2_polytope() (in module sage.geometry.polyhedron.ppl_lattice_polygon) polar_plot() (in module sage.plot.plot) poldegree() (sage.rings.number_field.splitting_field.SplittingData method) poles() (sage.rings.function_field.element.FunctionFieldElement method) policy() (sage.structure.set_factories.ParentWithSetFactory method) polish_notation() (sage.logic.boolformula.BooleanFormula method) polish_parse() (in module sage.logic.logicparser) pollack_stevens_modular_symbol() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) PollackStevensModularDomain (class in sage.modular.pollack_stevens.fund_domain) PollackStevensModularSymbols_factory (class in sage.modular.pollack_stevens.space) PollackStevensModularSymbolspace (class in sage.modular.pollack_stevens.space) poly() (sage.rings.qqbar.AlgebraicPolynomialTracker method) (sage.symbolic.expression.Expression method) poly_gens() (sage.combinat.key_polynomial.KeyPolynomialBasis method) poly_reduce() (in module sage.algebras.letterplace.free_algebra_element_letterplace) (in module sage.algebras.letterplace.letterplace_ideal) poly_repr() (sage.rings.polynomial.polydict.PolyDict method) poly_ring() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialCubicQuotientRing method) poly_to_tup() (in module sage.algebras.fusion_rings.poly_tup_engine) poly_tup_sortkey() (in module sage.algebras.fusion_rings.poly_tup_engine) poly_x() (sage.geometry.lattice_polytope.LatticePolytopeClass method) PolyDict (class in sage.rings.polynomial.polydict) polygen() (in module sage.rings.polynomial.polynomial_ring) (sage.modular.quasimodform.ring.QuasiModularForms method) polygens() (in module sage.rings.polynomial.polynomial_ring) Polygon (class in sage.plot.polygon) polygon() (in module sage.plot.polygon) polygon2d() (in module sage.plot.polygon) polygon3d() (in module sage.plot.plot3d.shapes2) polygon_plot3d() (in module sage.groups.perm_gps.cubegroup) polygon_spline() (in module sage.calculus.interpolators) polygonal_number() (in module sage.combinat.combinat) polygons3d() (in module sage.plot.plot3d.shapes2) Polyhedra() (in module sage.geometry.polyhedron.parent) Polyhedra_base (class in sage.geometry.polyhedron.parent) Polyhedra_field (class in sage.geometry.polyhedron.parent) Polyhedra_normaliz (class in sage.geometry.polyhedron.parent) Polyhedra_number_field (class in sage.geometry.polyhedron.parent) Polyhedra_polymake (class in sage.geometry.polyhedron.parent) Polyhedra_QQ_cdd (class in sage.geometry.polyhedron.parent) Polyhedra_QQ_normaliz (class in sage.geometry.polyhedron.parent) Polyhedra_QQ_ppl (class in sage.geometry.polyhedron.parent) Polyhedra_RDF_cdd (class in sage.geometry.polyhedron.parent) Polyhedra_ZZ_normaliz (class in sage.geometry.polyhedron.parent) Polyhedra_ZZ_ppl (class in sage.geometry.polyhedron.parent) polyhedral_complex() (sage.geometry.triangulation.element.Triangulation method) PolyhedralComplex (class in sage.geometry.polyhedral_complex) PolyhedralCone (class in sage.rings.polynomial.groebner_fan) PolyhedralFan (class in sage.rings.polynomial.groebner_fan) polyhedralfan() (sage.rings.polynomial.groebner_fan.GroebnerFan method) PolyhedralSets (class in sage.categories.polyhedra) Polyhedron (class in sage.geometry.abc) Polyhedron() (in module sage.geometry.polyhedron.constructor) polyhedron() (sage.geometry.cone.ConvexRationalPolyhedralCone method) (sage.geometry.hyperplane_arrangement.hyperplane.Hyperplane method) (sage.geometry.lattice_polytope.LatticePolytopeClass method) (sage.geometry.polyhedron.face.PolyhedronFace method) (sage.geometry.polyhedron.representation.PolyhedronRepresentation method) (sage.numerical.mip.MixedIntegerLinearProgram method) (sage.schemes.toric.divisor.ToricDivisor_generic method) Polyhedron_base (class in sage.geometry.polyhedron.base) Polyhedron_base0 (class in sage.geometry.polyhedron.base0) Polyhedron_base1 (class in sage.geometry.polyhedron.base1) Polyhedron_base2 (class in sage.geometry.polyhedron.base2) Polyhedron_base3 (class in sage.geometry.polyhedron.base3) Polyhedron_base4 (class in sage.geometry.polyhedron.base4) Polyhedron_base5 (class in sage.geometry.polyhedron.base5) Polyhedron_base6 (class in sage.geometry.polyhedron.base6) Polyhedron_base7 (class in sage.geometry.polyhedron.base7) Polyhedron_cdd (class in sage.geometry.polyhedron.backend_cdd) Polyhedron_field (class in sage.geometry.polyhedron.backend_field) Polyhedron_normaliz (class in sage.geometry.polyhedron.backend_normaliz) Polyhedron_number_field (class in sage.geometry.polyhedron.backend_number_field) Polyhedron_polymake (class in sage.geometry.polyhedron.backend_polymake) Polyhedron_ppl (class in sage.geometry.polyhedron.backend_ppl) Polyhedron_QQ (class in sage.geometry.polyhedron.base_QQ) Polyhedron_QQ_cdd (class in sage.geometry.polyhedron.backend_cdd) Polyhedron_QQ_normaliz (class in sage.geometry.polyhedron.backend_normaliz) Polyhedron_QQ_polymake (class in sage.geometry.polyhedron.backend_polymake) Polyhedron_QQ_ppl (class in sage.geometry.polyhedron.backend_ppl) Polyhedron_RDF (class in sage.geometry.polyhedron.base_RDF) Polyhedron_RDF_cdd (class in sage.geometry.polyhedron.backend_cdd_rdf) Polyhedron_ZZ (class in sage.geometry.polyhedron.base_ZZ) Polyhedron_ZZ_normaliz (class in sage.geometry.polyhedron.backend_normaliz) Polyhedron_ZZ_polymake (class in sage.geometry.polyhedron.backend_polymake) Polyhedron_ZZ_ppl (class in sage.geometry.polyhedron.backend_ppl) PolyhedronFace (class in sage.geometry.polyhedron.face) PolyhedronFaceLattice (class in sage.geometry.polyhedron.combinatorial_polyhedron.polyhedron_face_lattice) PolyhedronRepresentation (class in sage.geometry.polyhedron.representation) polylog() (sage.rings.complex_arb.ComplexBall method) (sage.rings.padics.padic_generic_element.pAdicGenericElement method) (sage.rings.real_arb.RealBall method) Polymake (in module sage.interfaces.polymake) polymake_console() (in module sage.interfaces.polymake) PolymakeAbstract (class in sage.interfaces.polymake) PolymakeElement (class in sage.interfaces.polymake) PolymakeError PolymakeFunctionElement (class in sage.interfaces.polymake) PolymakeJuPyMake (class in sage.interfaces.polymake) PolymapMatrixAction (class in sage.matrix.action) Polynomial (class in sage.rings.polynomial.polynomial_element) polynomial() (in module sage.symbolic.expression_conversions) (sage.combinat.triangles_FHM.Triangle method) (sage.databases.conway.ConwayPolynomials method) (sage.modular.drinfeld_modform.element.DrinfeldModularFormsElement method) (sage.modular.quasimodform.element.QuasiModularFormsElement method) (sage.quadratic_forms.binary_qf.BinaryQF method) (sage.quadratic_forms.quadratic_form.QuadraticForm method) (sage.quadratic_forms.ternary_qf.TernaryQF method) (sage.rings.finite_rings.conway_polynomials.PseudoConwayLattice method) (sage.rings.finite_rings.element_givaro.FiniteField_givaroElement method) (sage.rings.finite_rings.element_ntl_gf2e.Cache_ntl_gf2e method) (sage.rings.finite_rings.element_ntl_gf2e.FiniteField_ntl_gf2eElement method) (sage.rings.finite_rings.element_pari_ffelt.FiniteFieldElement_pari_ffelt method) (sage.rings.finite_rings.finite_field_base.FiniteField method) (sage.rings.finite_rings.finite_field_prime_modn.FiniteField_prime_modn method) (sage.rings.finite_rings.integer_mod.IntegerMod_abstract method) (sage.rings.function_field.function_field_polymod.FunctionField_polymod method) (sage.rings.function_field.order_basis.FunctionFieldOrder_basis method) (sage.rings.function_field.order_basis.FunctionFieldOrderInfinite_basis method) (sage.rings.function_field.order_polymod.FunctionFieldMaximalOrder_polymod method) (sage.rings.invariants.invariant_theory.AlgebraicForm method) (sage.rings.lazy_series.LazyLaurentSeries method) (sage.rings.lazy_series.LazyPowerSeries method) (sage.rings.multi_power_series_ring_element.MPowerSeries method) (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.number_field.number_field_element.NumberFieldElement method) (sage.rings.number_field.number_field_rel.NumberField_relative method) (sage.rings.padics.padic_capped_absolute_element.CAElement method) (sage.rings.padics.padic_capped_relative_element.CRElement method) (sage.rings.padics.padic_fixed_mod_element.FMElement method) (sage.rings.padics.padic_ZZ_pX_CA_element.pAdicZZpXCAElement method) (sage.rings.padics.padic_ZZ_pX_CR_element.pAdicZZpXCRElement method) (sage.rings.padics.padic_ZZ_pX_FM_element.pAdicZZpXFMElement method) (sage.rings.padics.pow_computer_ext.PowComputer_ZZ_pX method) (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial method) (sage.rings.polynomial.integer_valued_polynomials.IntegerValuedPolynomialRing.Bases.ElementMethods method) (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.power_series_pari.PowerSeries_pari method) (sage.rings.power_series_poly.PowerSeries_poly method) (sage.rings.power_series_ring_element.PowerSeries method) (sage.rings.rational_field.RationalField method) (sage.rings.ring_extension_element.RingExtensionWithBasisElement method) (sage.symbolic.expression.Expression method) Polynomial_absolute_number_field_dense (class in sage.rings.polynomial.polynomial_number_field) polynomial_coefficient() (sage.rings.polynomial.polydict.PolyDict method) polynomial_construction() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) polynomial_default_category() (in module sage.rings.polynomial.polynomial_ring_constructor) Polynomial_dense_mod_n (class in sage.rings.polynomial.polynomial_modn_dense_ntl) Polynomial_dense_mod_p (class in sage.rings.polynomial.polynomial_modn_dense_ntl) Polynomial_dense_modn_ntl_ZZ (class in sage.rings.polynomial.polynomial_modn_dense_ntl) Polynomial_dense_modn_ntl_zz (class in sage.rings.polynomial.polynomial_modn_dense_ntl) Polynomial_generic_cdv (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_cdvf (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_cdvr (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_dense (class in sage.rings.polynomial.polynomial_element) Polynomial_generic_dense_cdv (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_dense_cdvf (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_dense_cdvr (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_dense_field (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_dense_inexact (class in sage.rings.polynomial.polynomial_element) Polynomial_generic_domain (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_field (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_sparse (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_sparse_cdv (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_sparse_cdvf (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_sparse_cdvr (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_sparse_field (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_GF2X (class in sage.rings.polynomial.polynomial_gf2x) Polynomial_integer_dense_flint (class in sage.rings.polynomial.polynomial_integer_dense_flint) Polynomial_integer_dense_ntl (class in sage.rings.polynomial.polynomial_integer_dense_ntl) polynomial_is_variable() (in module sage.rings.polynomial.polynomial_element) polynomial_ntl() (sage.rings.number_field.number_field.NumberField_generic method) Polynomial_padic (class in sage.rings.polynomial.padics.polynomial_padic) Polynomial_padic_capped_relative_dense (class in sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense) Polynomial_padic_flat (class in sage.rings.polynomial.padics.polynomial_padic_flat) polynomial_part() (sage.modular.modsym.modular_symbols.ModularSymbol method) polynomial_quotient_ring() (sage.rings.number_field.number_field.NumberField_generic method) Polynomial_rational_flint (class in sage.rings.polynomial.polynomial_rational_flint) Polynomial_relative_number_field_dense (class in sage.rings.polynomial.polynomial_number_field) polynomial_ring() (sage.algebras.weyl_algebra.DifferentialWeylAlgebra method) (sage.coding.grs_code.GRSEvaluationPolynomialEncoder method) (sage.coding.reed_muller_code.ReedMullerPolynomialEncoder method) (sage.combinat.key_polynomial.KeyPolynomialBasis method) (sage.modular.drinfeld_modform.ring.DrinfeldModularForms method) (sage.modular.modform.ring.ModularFormsRing method) (sage.modular.quasimodform.ring.QuasiModularForms method) (sage.rings.cfinite_sequence.CFiniteSequences_generic method) (sage.rings.finite_rings.finite_field_base.FiniteField method) (sage.rings.function_field.function_field_polymod.FunctionField_polymod method) (sage.rings.function_field.function_field_rational.RationalFunctionField method) (sage.rings.laurent_series_ring.LaurentSeriesRing method) (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.padics.padic_extension_generic.pAdicExtensionGeneric method) (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_dense method) (sage.rings.polynomial.laurent_polynomial_ring_base.LaurentPolynomialRing_generic method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) polynomial_root() (sage.rings.qqbar.AlgebraicField method) (sage.rings.qqbar.AlgebraicRealField method) Polynomial_singular_repr (class in sage.rings.polynomial.polynomial_singular_interface) polynomial_system() (sage.crypto.mq.mpolynomialsystemgenerator.MPolynomialSystemGenerator method) (sage.crypto.mq.sr.SR_generic method) Polynomial_template (class in sage.rings.polynomial.polynomial_gf2x) (class in sage.rings.polynomial.polynomial_zmod_flint) (class in sage.rings.polynomial.polynomial_zz_pex) polynomial_to_list() (in module sage.coding.guruswami_sudan.utils) Polynomial_zmod_flint (class in sage.rings.polynomial.polynomial_zmod_flint) Polynomial_ZZ_pEX (class in sage.rings.polynomial.polynomial_zz_pex) PolynomialBaseringInjection (class in sage.rings.polynomial.polynomial_element) PolynomialConstruct (class in sage.rings.polynomial.pbori.pbori) PolynomialConverter (class in sage.symbolic.expression_conversions) PolynomialFactory (class in sage.rings.polynomial.pbori.pbori) PolynomialFunctor (class in sage.categories.pushout), [1] PolynomialQuotientRing_coercion (class in sage.rings.polynomial.polynomial_quotient_ring) PolynomialQuotientRing_domain (class in sage.rings.polynomial.polynomial_quotient_ring) PolynomialQuotientRing_field (class in sage.rings.polynomial.polynomial_quotient_ring) PolynomialQuotientRing_generic (class in sage.rings.polynomial.polynomial_quotient_ring) PolynomialQuotientRingElement (class in sage.rings.polynomial.polynomial_quotient_ring_element) PolynomialQuotientRingFactory (class in sage.rings.polynomial.polynomial_quotient_ring) PolynomialRealDense (class in sage.rings.polynomial.polynomial_real_mpfr_dense) PolynomialRing() (in module sage.rings.polynomial.polynomial_ring_constructor) PolynomialRing_cdvf (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_cdvr (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_commutative (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_finite_field (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_mod_n (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_mod_p (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_padic_field_capped_relative (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_padic_field_generic (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_padic_ring_capped_absolute (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_padic_ring_capped_relative (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_padic_ring_fixed_mod (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_padic_ring_generic (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_field (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_general (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_integral_domain (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_singular_repr (class in sage.rings.polynomial.polynomial_singular_interface) PolynomialRingHomomorphism_from_base (class in sage.rings.polynomial.polynomial_ring_homomorphism) polynomials() (sage.crypto.sbox.SBox method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) PolynomialSequence() (in module sage.rings.polynomial.multi_polynomial_sequence) PolynomialSequence_generic (class in sage.rings.polynomial.multi_polynomial_sequence) PolynomialSequence_gf2 (class in sage.rings.polynomial.multi_polynomial_sequence) PolynomialSequence_gf2e (class in sage.rings.polynomial.multi_polynomial_sequence) Polyomino (class in sage.combinat.tiling) Polyring_FpT_coerce (class in sage.rings.fraction_field_FpT) polytabloid() (in module sage.combinat.specht_module) polytope() (sage.combinat.crystals.mv_polytopes.MVPolytope method) (sage.sandpiles.sandpile.SandpileDivisor method) polytope_integer_pts() (sage.sandpiles.sandpile.SandpileDivisor method) Polytopes (class in sage.geometry.polyhedron.library) PontryaginAlgorithm (class in sage.manifolds.differentiable.characteristic_cohomology_class) PontryaginEulerAlgorithm (class in sage.manifolds.differentiable.characteristic_cohomology_class) PoorManMap (class in sage.categories.poor_man_map) pop() (sage.data_structures.bitset.Bitset method) (sage.data_structures.mutable_poset.MutablePoset method) (sage.misc.converting_dict.KeyConvertingDict method) POP() (sage.misc.explain_pickle.PickleExplainer method) pop() (sage.misc.explain_pickle.PickleExplainer method) (sage.misc.weak_dict.WeakValueDictionary method) (sage.repl.preparse.QuoteStack method) (sage.structure.list_clone.ClonableList method) (sage.structure.sequence.Sequence_generic method) POP_MARK() (sage.misc.explain_pickle.PickleExplainer method) pop_max() (sage.misc.binary_tree.BinaryTree method) pop_min() (sage.misc.binary_tree.BinaryTree method) pop_to_mark() (sage.misc.explain_pickle.PickleExplainer method) pop_transform() (sage.plot.plot3d.base.RenderParams method) popcount() (sage.rings.integer.Integer method) popitem() (sage.misc.weak_dict.WeakValueDictionary method) popov_form() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) populate_roots_interval_cache() (in module sage.schemes.curves.zariski_vankampen) pos (sage.algebras.hecke_algebras.cubic_hecke_matrix_rep.GenSign attribute) posdict_is_sane() (in module sage.matroids.matroids_plot_helpers) poset (sage.data_structures.mutable_poset.MutablePosetShell property) Poset() (in module sage.combinat.posets.posets) poset() (sage.combinat.interval_posets.TamariIntervalPoset method) (sage.combinat.posets.incidence_algebras.IncidenceAlgebra method), [1] (sage.combinat.posets.incidence_algebras.ReducedIncidenceAlgebra method), [1] (sage.combinat.posets.linear_extensions.LinearExtensionOfPoset method) (sage.combinat.posets.linear_extensions.LinearExtensionsOfPoset method) poset_of_regions() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method) PosetElement (class in sage.combinat.posets.elements) Posets (class in sage.categories.posets) (class in sage.combinat.posets.poset_examples) posets (in module sage.combinat.posets.poset_examples) Posets (sage.rings.asymptotic.growth_group.ExponentialGrowthGroup attribute) (sage.rings.asymptotic.growth_group.GenericGrowthGroup attribute) (sage.rings.asymptotic.growth_group.MonomialGrowthGroup attribute) Posets.ElementMethods (class in sage.categories.posets) Posets.ParentMethods (class in sage.categories.posets) position() (sage.combinat.affine_permutation.AffinePermutationTypeA method) (sage.combinat.affine_permutation.AffinePermutationTypeC method) (sage.combinat.affine_permutation.AffinePermutationTypeG method) (sage.combinat.yang_baxter_graph.SwapOperator method) (sage.plot.multigraphics.GraphicsArray method) (sage.plot.multigraphics.MultiGraphics method) position_of_first_return() (sage.combinat.dyck_word.DyckWord method) position_of_first_unmatched_plus() (sage.combinat.crystals.tensor_product_element.TensorProductOfRegularCrystalsElement method) position_of_last_unmatched_minus() (sage.combinat.crystals.tensor_product_element.TensorProductOfRegularCrystalsElement method) positions_of_double_rises() (sage.combinat.dyck_word.DyckWord method) positions_of_unmatched_minus() (sage.combinat.crystals.tensor_product_element.TensorProductOfRegularCrystalsElement method) positions_of_unmatched_plus() (sage.combinat.crystals.tensor_product_element.TensorProductOfRegularCrystalsElement method) positive (sage.databases.knotinfo_db.dc attribute) positive_circuits() (sage.geometry.triangulation.point_configuration.PointConfiguration method) positive_even_roots() (sage.combinat.root_system.type_super_A.AmbientSpace method) positive_imaginary_roots() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) positive_integer_relations() (in module sage.geometry.lattice_polytope) positive_odd_roots() (sage.combinat.root_system.type_super_A.AmbientSpace method) positive_operators_gens() (sage.geometry.cone.ConvexRationalPolyhedralCone method) positive_real_roots() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) positive_roots() (sage.combinat.root_system.reflection_group_real.RealReflectionGroup method) (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) (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.root_system.type_G.AmbientSpace method) (sage.combinat.root_system.type_reducible.AmbientSpace method) (sage.combinat.root_system.type_super_A.AmbientSpace method) (sage.combinat.root_system.weyl_characters.WeightRing method) (sage.combinat.root_system.weyl_characters.WeylCharacterRing method) (sage.combinat.root_system.weyl_group.WeylGroup_permutation method) (sage.groups.matrix_gps.coxeter_group.CoxeterMatrixGroup method) positive_roots_by_height() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) positive_roots_nonparabolic() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) positive_roots_nonparabolic_sum() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) positive_roots_parabolic() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) PositiveIntegerMonoid (class in sage.categories.examples.facade_sets) PositiveIntegers (class in sage.sets.positive_integers) PositiveIntegerSemigroup (class in sage.combinat.backtrack) PositiveIntegersOrderedByDivisibilityFacade (class in sage.categories.examples.posets) PositiveIntegersOrderedByDivisibilityFacade.element_class (class in sage.categories.examples.posets) positively_parallel_weights() (in module sage.combinat.crystals.littelmann_path) possible_automorphisms (sage.quadratic_forms.ternary_qf.TernaryQF attribute) possible_dual_simplex_method_steps() (sage.numerical.interactive_simplex_method.LPAbstractDictionary method) possible_entering() (sage.numerical.interactive_simplex_method.LPAbstractDictionary method) possible_hypergeometric_data() (in module sage.modular.hypergeometric_motive) possible_isogeny_degrees() (in module sage.schemes.elliptic_curves.isogeny_class) possible_leaving() (sage.numerical.interactive_simplex_method.LPAbstractDictionary method) possible_mu0s() (in module sage.rings.number_field.S_unit_solver) possible_orders() (sage.modular.abvar.torsion_subgroup.RationalTorsionSubgroup method) possible_periods() (sage.dynamics.arithmetic_dynamics.projective_ds.DynamicalSystem_projective method) (sage.dynamics.arithmetic_dynamics.projective_ds.DynamicalSystem_projective_finite_field method) possible_simplex_method_steps() (sage.numerical.interactive_simplex_method.LPAbstractDictionary method) possible_values() (sage.combinat.bijectionist.Bijectionist method) post_compose() (sage.categories.map.Map method) post_order_traversal() (sage.combinat.abstract_tree.AbstractTree method) post_order_traversal_iter() (sage.combinat.abstract_tree.AbstractTree method) post_process() (sage.combinat.subsets_pairwise.PairwiseCompatibleSubsets method) (sage.parallel.map_reduce.RESetMapReduce method) post_rescaling() (sage.schemes.elliptic_curves.weierstrass_transform.WeierstrassTransformation method) postcompose() (sage.rings.derivation.RingDerivationWithoutTwist method) (sage.rings.derivation.RingDerivationWithTwist_generic method) postcritical_set() (sage.dynamics.arithmetic_dynamics.projective_ds.DynamicalSystem_projective method) postulation() (sage.sandpiles.sandpile.Sandpile method) potential_good_reduction() (sage.dynamics.arithmetic_dynamics.projective_ds.DynamicalSystem_projective_field method) potential_kernel() (sage.schemes.berkovich.berkovich_cp_element.Berkovich_Element_Cp method) potts_representation() (sage.combinat.diagram_algebras.PartitionAlgebra method), [1] PottsRepresentation (class in sage.combinat.diagram_algebras), [1] PottsRepresentation.Element (class in sage.combinat.diagram_algebras), [1] PoussinGraph() (in module sage.graphs.generators.smallgraphs) (sage.graphs.graph_generators.GraphGenerators static method) POVRay (class in sage.interfaces.povray) pow() (sage.rings.asymptotic.asymptotic_ring.AsymptoticExpansion method) (sage.rings.complex_arb.ComplexBall method) pow_Integer_Integer() (sage.rings.padics.pow_computer.PowComputer_class method) pow_pd (class in sage.rings.polynomial.polynomial_compiled) pow_truncate() (sage.libs.flint.fmpz_poly_sage.Fmpz_poly method) PowComputer() (in module sage.rings.padics.pow_computer) PowComputer_ (class in sage.rings.padics.padic_capped_absolute_element) (class in sage.rings.padics.padic_capped_relative_element) (class in sage.rings.padics.padic_fixed_mod_element) PowComputer_base (class in sage.rings.padics.pow_computer) PowComputer_class (class in sage.rings.padics.pow_computer) PowComputer_ext (class in sage.rings.padics.pow_computer_ext) PowComputer_ext_maker() (in module sage.rings.padics.pow_computer_ext) PowComputer_ZZ_pX (class in sage.rings.padics.pow_computer_ext) PowComputer_ZZ_pX_big (class in sage.rings.padics.pow_computer_ext) PowComputer_ZZ_pX_big_Eis (class in sage.rings.padics.pow_computer_ext) PowComputer_ZZ_pX_FM (class in sage.rings.padics.pow_computer_ext) PowComputer_ZZ_pX_FM_Eis (class in sage.rings.padics.pow_computer_ext) PowComputer_ZZ_pX_small (class in sage.rings.padics.pow_computer_ext) PowComputer_ZZ_pX_small_Eis (class in sage.rings.padics.pow_computer_ext) power() (in module sage.combinat.root_system.reflection_group_complex) (sage.combinat.partition.Partition method) (sage.combinat.sf.sf.SymmetricFunctions method) (sage.graphs.generic_graph.GenericGraph method) (sage.rings.finite_rings.hom_finite_field.FrobeniusEndomorphism_finite_field method) (sage.rings.morphism.FrobeniusEndomorphism_generic method) (sage.rings.padics.morphism.FrobeniusEndomorphism_padics method) (sage.schemes.berkovich.berkovich_cp_element.Berkovich_Element_Cp method) (sage.symbolic.expression.Expression method) power_basis() (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.rational_field.RationalField method) power_mod() (in module sage.arith.misc) power_series() (sage.functions.transcendental.DickmanRho method) (sage.modular.abvar.lseries.Lseries_padic method) (sage.rings.laurent_series_ring_element.LaurentSeries method) (sage.rings.puiseux_series_ring_element.PuiseuxSeries method) (sage.schemes.elliptic_curves.modular_parametrization.ModularParameterization method) (sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesOrdinary method) (sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesSupersingular method) (sage.symbolic.expression.Expression method) (sage.symbolic.expression.SymbolicSeries method) power_series_ring() (sage.rings.laurent_series_ring.LaurentSeriesRing method) power_trunc() (sage.rings.polynomial.polynomial_element.Polynomial method) powermod() (sage.rings.integer.Integer method) PowerPoset() (sage.combinat.posets.poset_examples.Posets static method) powers() (sage.categories.monoids.Monoids.ElementMethods method) (sage.structure.element.MonoidElement method) (sage.structure.element.RingElement method) PowerSeries (class in sage.rings.power_series_ring_element) PowerSeries_pari (class in sage.rings.power_series_pari) PowerSeries_poly (class in sage.rings.power_series_poly) PowerSeriesRing() (in module sage.rings.power_series_ring) PowerSeriesRing_domain (class in sage.rings.power_series_ring) PowerSeriesRing_generic (class in sage.rings.power_series_ring) PowerSeriesRing_over_field (class in sage.rings.power_series_ring) powerset() (in module sage.combinat.subset) powersum() (sage.combinat.sf.sf.SymmetricFunctions method) pp() (sage.combinat.composition_tableau.CompositionTableau method) (sage.combinat.crystals.affine.AffineCrystalFromClassicalElement method) (sage.combinat.crystals.generalized_young_walls.GeneralizedYoungWall method) (sage.combinat.crystals.kirillov_reshetikhin.KirillovReshetikhinGenericCrystalElement method) (sage.combinat.crystals.kirillov_reshetikhin.PMDiagram method) (sage.combinat.crystals.spins.Spin method) (sage.combinat.crystals.tensor_product_element.CrystalOfBKKTableauxElement method) (sage.combinat.crystals.tensor_product_element.CrystalOfTableauxElement method) (sage.combinat.crystals.tensor_product_element.TensorProductOfCrystalsElement method) (sage.combinat.diagram.Diagram method) (sage.combinat.dyck_word.DyckWord method) (sage.combinat.gelfand_tsetlin_patterns.GelfandTsetlinPattern method) (sage.combinat.k_tableau.StrongTableau method) (sage.combinat.k_tableau.WeakTableau_abstract method) (sage.combinat.nu_dyck_word.NuDyckWord method) (sage.combinat.partition.Partition method) (sage.combinat.partition_tuple.PartitionTuple method) (sage.combinat.path_tableaux.path_tableau.CylindricalDiagram method) (sage.combinat.plane_partition.PlanePartition method) (sage.combinat.rigged_configurations.kr_tableaux.KirillovReshetikhinTableauxElement method) (sage.combinat.rigged_configurations.tensor_product_kr_tableaux_element.TensorProductOfKirillovReshetikhinTableauxElement method) (sage.combinat.shifted_primed_tableau.ShiftedPrimedTableau method) (sage.combinat.skew_partition.SkewPartition method) (sage.combinat.skew_tableau.SkewTableau method) (sage.combinat.tableau.Tableau method) (sage.combinat.tableau_tuple.TableauTuple method) PP10() (in module sage.matroids.database_matroids) PP9() (in module sage.matroids.database_matroids) ppi() (sage.interfaces.four_ti_2.FourTi2 method) PPLBackend (class in sage.numerical.backends.ppl_backend) PQ (class in sage.graphs.pq_trees) pq_group_bitrade_generators() (in module sage.combinat.matrices.latin) pre_compose() (sage.categories.map.Map method) pre_handler_hook() (sage.repl.ipython_kernel.kernel.SageKernel method) pre_hash() (in module sage.doctest.parsing) pre_Lie_product() (sage.combinat.free_prelie_algebra.FreePreLieAlgebra method), [1] pre_Lie_product_on_basis() (sage.combinat.free_prelie_algebra.FreePreLieAlgebra method), [1] pre_order_traversal() (sage.combinat.abstract_tree.AbstractTree method) pre_order_traversal_iter() (sage.combinat.abstract_tree.AbstractTree method) prec() (sage.combinat.fqsym.FQSymBases.ParentMethods method) (sage.combinat.free_dendriform_algebra.FreeDendriformAlgebra method), [1] (sage.modular.modform.ambient.ModularFormsAmbient method) (sage.modular.modform.element.ModularForm_abstract method) (sage.modular.modform.space.ModularFormsSpace method) (sage.modular.modform_hecketriangle.series_constructor.MFSeriesConstructor method) (sage.modular.overconvergent.genus0.OverconvergentModularFormElement method) (sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method) (sage.rings.complex_arb.ComplexBallField method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_double.ComplexDoubleField_class method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_interval_field.ComplexIntervalField_class method) (sage.rings.complex_mpc.MPComplexField_class method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexField_class method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.laurent_series_ring_element.LaurentSeries method) (sage.rings.lazy_series.LazyModuleElement method) (sage.rings.multi_power_series_ring_element.MPowerSeries method) (sage.rings.polynomial.ore_polynomial_element.OrePolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.power_series_ring_element.PowerSeries method) (sage.rings.puiseux_series_ring_element.PuiseuxSeries method) (sage.rings.real_arb.RealBallField method) (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_double.RealDoubleField_class method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealField_class method) (sage.rings.real_mpfr.RealNumber method) (sage.schemes.berkovich.berkovich_cp_element.Berkovich_Element_Cp method) prec_by_coercion() (sage.combinat.fqsym.FQSymBases.ParentMethods method) prec_degree() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) (sage.rings.polynomial.polynomial_element.Polynomial_generic_dense_inexact method) prec_ideal() (sage.rings.multi_power_series_ring.MPowerSeriesRing_generic method) prec_product_on_basis() (sage.combinat.fqsym.FreeQuasisymmetricFunctions.F method) (sage.combinat.free_dendriform_algebra.FreeDendriformAlgebra method), [1] prec_seq() (in module sage.rings.qqbar) precheck() (in module sage.combinat.root_system.dynkin_diagram) precision() (sage.rings.complex_arb.ComplexBallField method) (sage.rings.complex_double.ComplexDoubleField_class method) (sage.rings.complex_interval_field.ComplexIntervalField_class method) (sage.rings.complex_mpfr.ComplexField_class method) (sage.rings.padics.generic_nodes.pAdicLatticeGeneric method) (sage.rings.real_arb.RealBallField method) (sage.rings.real_double.RealDoubleField_class method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealField_class method) (sage.rings.real_mpfr.RealNumber method) (sage.schemes.berkovich.berkovich_cp_element.Berkovich_Element_Cp method) precision_absolute() (sage.rings.laurent_series_ring_element.LaurentSeries method) (sage.rings.padics.padic_capped_absolute_element.CAElement method) (sage.rings.padics.padic_capped_relative_element.CRElement method) (sage.rings.padics.padic_fixed_mod_element.FMElement method) (sage.rings.padics.padic_ZZ_pX_CA_element.pAdicZZpXCAElement method) (sage.rings.padics.padic_ZZ_pX_CR_element.pAdicZZpXCRElement method) (sage.rings.padics.padic_ZZ_pX_FM_element.pAdicZZpXFMElement method) (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) (sage.rings.power_series_ring_element.PowerSeries method) (sage.rings.puiseux_series_ring_element.PuiseuxSeries method) precision_cap() (sage.modular.btquotients.pautomorphicform.pAdicAutomorphicForms method) (sage.modular.pollack_stevens.distributions.OverconvergentDistributions_abstract method) (sage.modular.pollack_stevens.space.PollackStevensModularSymbolspace method) (sage.rings.padics.generic_nodes.pAdicLatticeGeneric method) (sage.rings.padics.generic_nodes.pAdicRelaxedGeneric method) (sage.rings.padics.local_generic.LocalGeneric method) (sage.rings.tate_algebra.TateAlgebra_generic method) precision_cap_absolute() (sage.rings.padics.generic_nodes.pAdicLatticeGeneric method) precision_cap_relative() (sage.rings.padics.generic_nodes.pAdicLatticeGeneric method) precision_relative() (sage.modular.pollack_stevens.modsym.PSModularSymbolElement_dist method) (sage.rings.laurent_series_ring_element.LaurentSeries method) (sage.rings.padics.padic_capped_absolute_element.CAElement method) (sage.rings.padics.padic_capped_relative_element.CRElement method) (sage.rings.padics.padic_fixed_mod_element.FMElement method) (sage.rings.padics.padic_ZZ_pX_CA_element.pAdicZZpXCAElement method) (sage.rings.padics.padic_ZZ_pX_CR_element.pAdicZZpXCRElement method) (sage.rings.padics.padic_ZZ_pX_FM_element.pAdicZZpXFMElement method) (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) (sage.rings.power_series_ring_element.PowerSeries method) (sage.rings.puiseux_series_ring_element.PuiseuxSeries method) PrecisionError, [1] precompose() (sage.rings.derivation.RingDerivationWithoutTwist method) (sage.rings.derivation.RingDerivationWithTwist_generic method) PrecomposedAction (class in sage.categories.action), [1] precomputation_list() (sage.arith.multi_modular.MultiModularBasis_base method) precompute() (sage.misc.cachefunc.CachedFunction method) (sage.misc.cachefunc.CachedMethodCaller method) precompute_degree_reduction_cache() (in module sage.rings.polynomial.real_roots) precompute_table() (sage.rings.finite_rings.integer_mod.NativeIntStruct method) precprint() (in module sage.rings.padics.misc) pred() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ElementMethods method) predecessors() (sage.combinat.finite_state_machine.FiniteStateMachine method) (sage.data_structures.mutable_poset.MutablePosetShell method) preferences (sage.repl.rich_output.display_manager.DisplayManager property) PreferencesABC (class in sage.repl.rich_output.preferences) prefix() (sage.combinat.sf.sfa.SymmetricFunctionAlgebra_generic method) (sage.structure.indexed_generators.IndexedGenerators method) prefix_check() (in module sage.rings.polynomial.groebner_fan) prefix_function_table() (sage.combinat.words.finite_word.FiniteWord_class method) prefix_len (sage_docbuild.sphinxbuild.SageSphinxLogger attribute) prefix_set() (sage.combinat.recognizable_series.PrefixClosedSet method) prefix_to_infix() (in module sage.logic.logicparser) PrefixClosedSet (class in sage.combinat.recognizable_series) prefixes_iterator() (sage.combinat.words.abstract_word.Word_class method) preimage() (sage.algebras.lie_algebras.lie_algebra.LiftMorphismToAssociative method) (sage.groups.libgap_morphism.GroupMorphism_libgap method) (sage.manifolds.chart.Chart method) (sage.manifolds.continuous_map.ContinuousMap method) (sage.manifolds.scalarfield.ScalarField method) (sage.modules.tensor_operations.TensorOperation method) (sage.modules.with_basis.morphism.TriangularModuleMorphism method) (sage.rings.number_field.morphism.NumberFieldHomomorphism_im_gens method) (sage.schemes.projective.projective_subscheme.AlgebraicScheme_subscheme_projective method) preimage_cones() (sage.geometry.fan_morphism.FanMorphism method) preimage_fan() (sage.geometry.fan_morphism.FanMorphism method) preimage_representative() (sage.modules.free_module_morphism.FreeModuleMorphism method) PreLieFunctor (class in sage.combinat.free_prelie_algebra), [1] prep() (in module sage.plot.plot3d.platonic) prep_hecke_on_gen() (sage.modular.pollack_stevens.fund_domain.ManinRelations method) prep_hecke_on_gen_list() (sage.modular.pollack_stevens.fund_domain.ManinRelations method) prepare() (in module sage.modules.free_module_element) preparse() (in module sage.repl.preparse) (sage.interfaces.sage0.Sage method) (sage.misc.sage_input.SageInputBuilder method) preparse_calculus() (in module sage.repl.preparse) preparse_file() (in module sage.repl.preparse) preparse_file_named() (in module sage.repl.preparse) preparse_file_named_to_stream() (in module sage.repl.preparse) preparse_generators() (in module sage.repl.preparse) preparse_imports_from_sage() (sage.repl.interpreter.InterfaceShellTransformer method) preparse_numeric_literals() (in module sage.repl.preparse) preparser() (in module sage.repl.interpreter) preperiod() (sage.rings.continued_fraction.ContinuedFraction_periodic method) preperiod_length() (sage.rings.continued_fraction.ContinuedFraction_periodic method) preperiodic_points() (sage.dynamics.arithmetic_dynamics.projective_ds.DynamicalSystem_projective method) prepone_output() (sage.combinat.finite_state_machine.FiniteStateMachine method) preprocess_assumptions() (in module sage.symbolic.assumptions) PRESENT (class in sage.crypto.block_cipher.present) PRESENT_KS (class in sage.crypto.block_cipher.present) presentation() (sage.modules.filtered_vector_space.FilteredVectorSpace_class method) presentation_two_generators() (sage.groups.braid.BraidGroup_class method) PresentationComplex() (in module sage.topology.simplicial_set_examples) preserves_orientation() (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometry method) (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometryPD method) (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometryUHP method) pretty() (sage.repl.display.pretty_print.SagePrettyPrinter method) pretty_print() (in module sage.repl.rich_output.pretty_print) (sage.combinat.dyck_word.DyckWord method) (sage.combinat.nu_dyck_word.NuDyckWord method) (sage.combinat.parking_functions.ParkingFunction method) (sage.repl.rich_output.pretty_print.SequencePrettyPrinter method) pretty_print_default() (in module sage.misc.html) pretty_repr (sage.repl.display.pretty_print.SagePrettyPrinter attribute) prev() (sage.combinat.misc.DoublyLinkedList method) (sage.combinat.partition.Partitions_n method) (sage.combinat.permutation.Permutation method) preview_word() (sage.combinat.finite_state_machine.FSMProcessIterator method) previous_prime() (in module sage.arith.misc) (sage.rings.integer.Integer method) previous_prime_power() (in module sage.arith.misc) (sage.rings.integer.Integer method) primary_decomposition() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method) (sage.rings.ideal.Ideal_generic method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) primary_decomposition_complete() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) primary_dinversion_pairs() (sage.combinat.parking_functions.ParkingFunction method) primary_part() (sage.modules.torsion_quadratic_module.TorsionQuadraticModule method) PrimarySimilarityClassType (class in sage.combinat.similarity_class_type) PrimarySimilarityClassTypes (class in sage.combinat.similarity_class_type) PRIME (sage.graphs.graph_decompositions.modular_decomposition.NodeType attribute) prime() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic.Element method) (sage.modular.abvar.lseries.Lseries_padic method) (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) (sage.modular.btquotients.pautomorphicform.pAdicAutomorphicForms method) (sage.modular.local_comp.local_comp.LocalComponentBase method) (sage.modular.local_comp.smoothchar.SmoothCharacterGroupGeneric method) (sage.modular.local_comp.type_space.TypeSpace method) (sage.modular.overconvergent.genus0.OverconvergentModularFormElement method) (sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method) (sage.modular.overconvergent.weightspace.WeightSpace_class method) (sage.modular.pollack_stevens.distributions.OverconvergentDistributions_abstract method) (sage.modular.pollack_stevens.padic_lseries.pAdicLseries method) (sage.modular.pollack_stevens.space.PollackStevensModularSymbolspace method) (sage.modular.ssmod.ssmod.SupersingularModule method) (sage.quadratic_forms.genera.genus.Genus_Symbol_p_adic_ring method) (sage.rings.padics.padic_generic.pAdicGeneric method) (sage.rings.tate_algebra.TateAlgebra_generic method) (sage.rings.tate_algebra.TateTermMonoid method) (sage.schemes.berkovich.berkovich_cp_element.Berkovich_Element_Cp method) (sage.schemes.berkovich.berkovich_space.Berkovich_Cp method) (sage.schemes.elliptic_curves.ell_local_data.EllipticCurveLocalData method) (sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method) (sage.schemes.elliptic_curves.padic_lseries.pAdicLseries method) (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientRing method) prime_above() (sage.rings.number_field.number_field.NumberField_generic method) prime_below() (sage.rings.function_field.ideal_polymod.FunctionFieldIdeal_polymod method) (sage.rings.function_field.ideal_polymod.FunctionFieldIdealInfinite_polymod method) prime_candidates() (sage.matrix.compute_J_ideal.ComputeMinimalPolynomials method) prime_degree() (sage.combinat.partition.Partition method) (sage.combinat.partition_tuple.PartitionTuple method) prime_divisor() (in module sage.rings.function_field.divisor) prime_divisors() (in module sage.arith.misc) (sage.rings.integer.Integer method) prime_elements() (sage.combinat.posets.hasse_diagram.HasseDiagram method) prime_factors() (in module sage.arith.misc) (sage.rings.integer.Integer method) (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) prime_ideal() (sage.rings.function_field.order_rational.FunctionFieldMaximalOrderInfinite_rational method) (sage.rings.function_field.place.FunctionFieldPlace method) (sage.schemes.generic.point.SchemeTopologicalPoint_prime_ideal method) prime_powers() (in module sage.arith.misc) prime_range() (in module sage.rings.fast_arith) prime_subfield() (sage.rings.finite_rings.finite_field_givaro.FiniteField_givaro method) (sage.rings.finite_rings.finite_field_ntl_gf2e.FiniteField_ntl_gf2e method) (sage.rings.ring.Field method) prime_to_idealM_part() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) prime_to_m_part() (in module sage.arith.misc) (sage.rings.integer.Integer method) prime_to_S_part() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) (sage.rings.rational.Rational method) primed() (sage.combinat.shifted_primed_tableau.PrimedEntry method) PrimedEntry (class in sage.combinat.shifted_primed_tableau) PrimeNumbers (class in sage.categories.examples.sets_cat) PrimeNumbers_Abstract (class in sage.categories.examples.sets_cat) PrimeNumbers_Abstract.Element (class in sage.categories.examples.sets_cat) PrimeNumbers_Facade (class in sage.categories.examples.sets_cat) PrimeNumbers_Inherits (class in sage.categories.examples.sets_cat) PrimeNumbers_Inherits.Element (class in sage.categories.examples.sets_cat) PrimeNumbers_Wrapper (class in sage.categories.examples.sets_cat) PrimeNumbers_Wrapper.Element (class in sage.categories.examples.sets_cat) PrimePi (class in sage.functions.prime_pi) Primes (class in sage.sets.primes) primes() (in module sage.arith.misc) (sage.databases.conway.ConwayPolynomials method) (sage.rings.number_field.unit_group.UnitGroup method) primes_above() (sage.rings.number_field.number_field.NumberField_generic method) primes_first_n() (in module sage.arith.misc) primes_of_bad_reduction() (sage.dynamics.arithmetic_dynamics.projective_ds.DynamicalSystem_projective method) primes_of_bounded_norm() (sage.rings.number_field.number_field.NumberField_generic method) primes_of_bounded_norm_iter() (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.rational_field.RationalField method) primes_of_degree_one_iter() (sage.rings.number_field.number_field.NumberField_generic method) primes_of_degree_one_list() (sage.rings.number_field.number_field.NumberField_generic method) primitive() (sage.combinat.ncsym.bases.NCSymBases.ParentMethods method) (sage.combinat.ncsym.ncsym.SymmetricFunctionsNonCommutingVariables.powersum method) (sage.combinat.words.finite_word.FiniteWord_class method) (sage.geometry.hyperplane_arrangement.hyperplane.Hyperplane method) (sage.quadratic_forms.quadratic_form.QuadraticForm method) (sage.quadratic_forms.ternary_qf.TernaryQF method) primitive_character() (sage.modular.dirichlet.DirichletCharacter method) primitive_collections() (sage.geometry.fan.RationalPolyhedralFan method) primitive_data() (sage.modular.hypergeometric_motive.HypergeometricData method) primitive_decomposition() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method), [1] primitive_element() (sage.rings.finite_rings.finite_field_base.FiniteField method) (sage.rings.function_field.function_field_polymod.FunctionField_polymod method) (sage.rings.number_field.number_field.NumberField_generic method) primitive_eulerian_polynomial() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method) primitive_index() (sage.modular.hypergeometric_motive.HypergeometricData method) primitive_integal_element_infinite() (sage.rings.function_field.function_field_polymod.FunctionField_integral method) primitive_length() (sage.combinat.words.finite_word.FiniteWord_class method) primitive_part() (sage.modular.modform_hecketriangle.hecke_triangle_group_element.HeckeTriangleGroupElement method) (sage.symbolic.expression.Expression method) primitive_power() (sage.modular.modform_hecketriangle.hecke_triangle_group_element.HeckeTriangleGroupElement method) primitive_preimage_cones() (sage.geometry.fan_morphism.FanMorphism method) primitive_representative() (sage.modular.modform_hecketriangle.hecke_triangle_group_element.HeckeTriangleGroupElement method) primitive_root() (in module sage.arith.misc) (sage.coding.cyclic_code.CyclicCode method) primitive_root_of_unity() (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.padics.padic_generic.pAdicGeneric method) primitive_vector_field() (sage.combinat.root_system.reflection_group_complex.ComplexReflectionGroup method) PrimitiveGroup (class in sage.groups.perm_gps.permgroup_named) PrimitiveGroups() (in module sage.groups.perm_gps.permgroup_named) PrimitiveGroupsAll (class in sage.groups.perm_gps.permgroup_named) PrimitiveGroupsOfDegree (class in sage.groups.perm_gps.permgroup_named) PrimitiveLocalComponent (class in sage.modular.local_comp.local_comp) PrimitiveObject (class in sage.plot.plot3d.base) PrimitivePrincipalSeries (class in sage.modular.local_comp.local_comp) primitives() (in module sage.combinat.similarity_class_type) PrimitiveSpecial (class in sage.modular.local_comp.local_comp) PrimitiveSupercuspidal (class in sage.modular.local_comp.local_comp) primitivize() (in module sage.quadratic_forms.ternary) principal() (sage.quadratic_forms.binary_qf.BinaryQF static method) principal_congruences_poset() (sage.combinat.posets.hasse_diagram.HasseDiagram method) principal_curvatures() (sage.manifolds.differentiable.pseudo_riemannian_submanifold.PseudoRiemannianSubmanifold method) principal_directions() (sage.geometry.riemannian_manifolds.parametrized_surface3d.ParametrizedSurface3D method) (sage.manifolds.differentiable.degenerate_submanifold.DegenerateSubmanifold method) (sage.manifolds.differentiable.pseudo_riemannian_submanifold.PseudoRiemannianSubmanifold method) principal_extension() (sage.combinat.cluster_algebra_quiver.cluster_seed.ClusterSeed method) (sage.combinat.cluster_algebra_quiver.quiver.ClusterQuiver method) principal_ideal() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method) (sage.rings.ring.Ring method) principal_lower_set() (sage.categories.posets.Posets.ParentMethods method) principal_order_filter() (sage.categories.posets.Posets.ParentMethods method) (sage.combinat.posets.hasse_diagram.HasseDiagram method) principal_order_ideal() (sage.categories.posets.Posets.ParentMethods method) (sage.combinat.posets.hasse_diagram.HasseDiagram method) principal_specialization() (sage.combinat.sf.elementary.SymmetricFunctionAlgebra_elementary.Element method) (sage.combinat.sf.homogeneous.SymmetricFunctionAlgebra_homogeneous.Element method) (sage.combinat.sf.monomial.SymmetricFunctionAlgebra_monomial.Element method) (sage.combinat.sf.powersum.SymmetricFunctionAlgebra_power.Element method) (sage.combinat.sf.schur.SymmetricFunctionAlgebra_schur.Element method) (sage.combinat.sf.sfa.SymmetricFunctionAlgebra_generic_Element method) principal_square_root() (sage.matrix.matrix2.Matrix method) principal_submatrices() (sage.combinat.root_system.cartan_matrix.CartanMatrix method) principal_upper_set() (sage.categories.posets.Posets.ParentMethods method) PrincipalClusterAlgebraElement (class in sage.algebras.cluster_algebra) PrincipalIdealDomain (class in sage.rings.ring) PrincipalIdealDomainElement (class in sage.structure.element) PrincipalIdealDomains (class in sage.categories.principal_ideal_domains) PrincipalIdealDomains.ElementMethods (class in sage.categories.principal_ideal_domains) PrincipalIdealDomains.ParentMethods (class in sage.categories.principal_ideal_domains) PrincipalSeries (class in sage.modular.local_comp.local_comp) print_bases() (sage.tensor.modules.finite_rank_free_module.FiniteRankFreeModule method) print_basis() (sage.coding.binary_code.PartitionStack method) print_communication_statistics() (sage.parallel.map_reduce.RESetMapReduce method) print_compare() (in module sage.categories.sets_cat) print_currRing() (in module sage.libs.singular.ring) print_data() (sage.coding.binary_code.BinaryCode method) (sage.coding.binary_code.PartitionStack method) print_included_modules() (sage_docbuild.builders.ReferenceSubBuilder method) print_kitten() (sage.games.hexad.Minimog method) print_last() (sage.misc.profiler.Profiler method) print_md_tree() (in module sage.graphs.graph_decompositions.modular_decomposition) print_mode() (sage.rings.padics.padic_generic.pAdicGeneric method) print_modified_modules() (sage_docbuild.builders.ReferenceSubBuilder method) print_new_and_updated_modules() (sage_docbuild.builders.ReferenceSubBuilder method) print_objects() (in module sage.libs.ecl) print_options() (sage.rings.ring_extension.RingExtension_generic method) (sage.structure.indexed_generators.IndexedGenerators method) print_order() (in module sage.symbolic.expression) print_ranges() (sage.numerical.backends.glpk_backend.GLPKBackend method) print_sorted() (in module sage.symbolic.expression) print_state() (sage.dynamics.cellular_automata.elementary.ElementaryCellularAutomata method) (sage.dynamics.cellular_automata.solitons.SolitonCellularAutomata method) print_state_evolution() (sage.dynamics.cellular_automata.solitons.SolitonCellularAutomata method) print_states() (sage.dynamics.cellular_automata.elementary.ElementaryCellularAutomata method) (sage.dynamics.cellular_automata.glca.GraftalLaceCellularAutomata method) (sage.dynamics.cellular_automata.solitons.SolitonCellularAutomata method) print_strings() (sage.combinat.root_system.integrable_representations.IntegrableRepresentation method) print_table() (sage.logic.logic.SymbolicLogic method) print_to_stdout() (sage.repl.rich_output.output_basic.OutputAsciiArt method) (sage.repl.rich_output.output_basic.OutputLatex method) (sage.repl.rich_output.output_basic.OutputPlainText method) (sage.repl.rich_output.output_basic.OutputUnicodeArt method) (sage.repl.rich_output.test_backend.TestOutputPlainText method) (sage.typeset.symbols.CompoundSymbol method) print_triconnected_components() (sage.graphs.connectivity.TriconnectivitySPQR method) print_unincluded_modules() (sage_docbuild.builders.ReferenceSubBuilder method) print_values() (sage.modular.btquotients.pautomorphicform.BruhatTitsHarmonicCocycleElement method) printa() (sage.rings.number_field.totallyreal_data.tr_data method) printpath() (sage.doctest.sources.FileDocTestSource method) priority (sage.repl.interpreter.InterfaceShellTransformer attribute) (sage_docbuild.ext.sage_autodoc.AttributeDocumenter attribute) (sage_docbuild.ext.sage_autodoc.ClassDocumenter attribute) (sage_docbuild.ext.sage_autodoc.DataDocumenter attribute) (sage_docbuild.ext.sage_autodoc.DecoratorDocumenter attribute) (sage_docbuild.ext.sage_autodoc.Documenter attribute) (sage_docbuild.ext.sage_autodoc.ExceptionDocumenter attribute) (sage_docbuild.ext.sage_autodoc.MethodDocumenter attribute) (sage_docbuild.ext.sage_autodoc.PropertyDocumenter attribute) prism() (sage.geometry.polyhedron.base5.Polyhedron_base5 method) PrisonersDilemma() (in module sage.game_theory.catalog_normal_form_games) private_key() (sage.crypto.public_key.blum_goldwasser.BlumGoldwasser method) private_neighbors() (in module sage.graphs.domination) (sage.graphs.graph.Graph method) prm_mul() (in module sage.matrix.matrix_misc) prob() (sage.stats.hmm.distributions.Distribution method) (sage.stats.hmm.distributions.GaussianMixtureDistribution method) prob_m() (sage.stats.hmm.distributions.GaussianMixtureDistribution method) probability_of_at_most_t_errors() (sage.coding.channel.QarySymmetricChannel method) probability_of_exactly_t_errors() (sage.coding.channel.QarySymmetricChannel method) probability_space() (sage.probability.random_variable.RandomVariable_generic method) ProbabilityDistribution (class in sage.probability.probability_distribution) ProbabilitySpace_generic (class in sage.probability.random_variable) probable_hnf() (in module sage.matrix.matrix_integer_dense_hnf) probable_pivot_columns() (in module sage.matrix.matrix_integer_dense_hnf) probable_pivot_rows() (in module sage.matrix.matrix_integer_dense_hnf) probed_tags (sage.doctest.parsing.SageDocTestParser attribute) Problem (class in sage.geometry.polyhedron.double_description) problem() (sage.numerical.interactive_simplex_method.LPRevisedDictionary method) problem_name() (sage.numerical.backends.cvxopt_backend.CVXOPTBackend method) (sage.numerical.backends.generic_backend.GenericBackend method) (sage.numerical.backends.generic_sdp_backend.GenericSDPBackend method) (sage.numerical.backends.glpk_backend.GLPKBackend method) (sage.numerical.backends.interactivelp_backend.InteractiveLPBackend method) (sage.numerical.backends.logging_backend.LoggingBackend method) (sage.numerical.backends.ppl_backend.PPLBackend method) problem_type() (sage.numerical.interactive_simplex_method.InteractiveLPProblem method) proc_number() (in module sage.parallel.map_reduce) process() (sage.combinat.finite_state_machine.Automaton method) (sage.combinat.finite_state_machine.FiniteStateMachine method) (sage.combinat.finite_state_machine.Transducer method) (sage.libs.eclib.interface.mwrank_MordellWeil method) process_cubes() (sage.plot.plot3d.implicit_surface.MarchingCubesTriangles method) process_directives() (in module sage.misc.sagedoc_conf) process_doc() (sage_docbuild.ext.sage_autodoc.Documenter method) process_docstring_aliases() (in module sage.misc.sagedoc_conf) process_docstring_cython() (in module sage.misc.sagedoc_conf) process_docstring_module_title() (in module sage.misc.sagedoc_conf) process_dollars() (in module sage.misc.sagedoc) (in module sage.misc.sagedoc_conf) process_extlinks() (in module sage.misc.sagedoc) process_inherited() (in module sage.misc.sagedoc_conf) process_letter() (sage.combinat.words.suffix_trees.ImplicitSuffixTree method) (sage.combinat.words.suffix_trees.SuffixTrie method) process_mathtt() (in module sage.misc.sagedoc) process_optional_doctest_tags() (in module sage.misc.sagedoc) process_slice() (sage.plot.plot3d.implicit_surface.MarchingCubesTriangles method) prod() (in module sage.misc.misc_c) (sage.arith.multi_modular.MultiModularBasis_base method) (sage.categories.monoids.Monoids.ParentMethods method) (sage.categories.semigroups.Semigroups.ParentMethods method) (sage.misc.sage_input.SageInputBuilder method) (sage.modules.vector_double_dense.Vector_double_dense method) (sage.rings.lazy_series_ring.LazySeriesRing method) (sage.stats.intlist.IntList method) (sage.structure.factorization.Factorization method) (sage.symbolic.expression.Expression method) prod_of_row_sums() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) prod_with_derivative() (in module sage.rings.generic) produce_latex_macro() (in module sage.misc.latex_macros) product() (in module sage.combinat.gray_codes) (sage.algebras.free_algebra.PBWBasisOfFreeAlgebra method) (sage.algebras.shuffle_algebra.DualPBWBasis method) (sage.categories.examples.finite_monoids.IntegerModMonoid method) (sage.categories.examples.finite_semigroups.LeftRegularBand method) (sage.categories.examples.finite_weyl_groups.SymmetricGroup method) (sage.categories.examples.magmas.FreeMagma method) (sage.categories.examples.semigroups.FreeSemigroup method) (sage.categories.examples.semigroups.LeftZeroSemigroup method) (sage.categories.magmas.Magmas.CartesianProducts.ParentMethods method) (sage.categories.magmas.Magmas.ParentMethods method) (sage.categories.magmas.Magmas.Subquotients.ParentMethods method) (sage.categories.magmatic_algebras.MagmaticAlgebras.WithBasis.ParentMethods method) (sage.combinat.posets.posets.FinitePoset method) (sage.combinat.root_system.fundamental_group.FundamentalGroupGL method) (sage.combinat.root_system.fundamental_group.FundamentalGroupOfExtendedAffineWeylGroup_Class method) (sage.combinat.sf.dual.SymmetricFunctionAlgebra_dual method) (sage.combinat.sf.hall_littlewood.HallLittlewood_generic method) (sage.combinat.sf.jack.JackPolynomials_generic method) (sage.combinat.sf.jack.JackPolynomials_p method) (sage.combinat.sf.jack.JackPolynomials_qp method) (sage.combinat.sf.jack.SymmetricFunctionAlgebra_zonal method) (sage.combinat.sf.k_dual.KBoundedQuotientBases.ParentMethods method) (sage.combinat.sf.llt.LLT_generic method) (sage.combinat.sf.macdonald.MacdonaldPolynomials_generic method) (sage.combinat.sf.macdonald.MacdonaldPolynomials_s method) (sage.combinat.sf.monomial.SymmetricFunctionAlgebra_monomial method) (sage.combinat.sf.new_kschur.K_kSchur method) (sage.combinat.sf.orthotriang.SymmetricFunctionAlgebra_orthotriang method) (sage.combinat.species.species.GenericCombinatorialSpecies method) (sage.geometry.polyhedral_complex.PolyhedralComplex method) (sage.geometry.polyhedron.base5.Polyhedron_base5 method) (sage.groups.group_exp.GroupExp_Class method) (sage.groups.group_semidirect_product.GroupSemidirectProduct method) (sage.monoids.automatic_semigroup.AutomaticSemigroup method) (sage.topology.cell_complex.GenericCellComplex method) (sage.topology.cubical_complex.Cube method) (sage.topology.cubical_complex.CubicalComplex method) (sage.topology.delta_complex.DeltaComplex method) (sage.topology.moment_angle_complex.MomentAngleComplex method) (sage.topology.simplicial_complex.Simplex method) (sage.topology.simplicial_complex.SimplicialComplex method) (sage.topology.simplicial_set.SimplicialSet_arbitrary method) (sage.topology.simplicial_set_morphism.SimplicialSetMorphism method) product_by_coercion() (sage.categories.magmas.Magmas.Realizations.ParentMethods method) (sage.combinat.sf.sfa.SymmetricFunctionAlgebra_generic method) (sage.modules.with_basis.representation.Representation method) product_by_generator() (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra.T method) product_by_generator_on_basis() (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra.T method) product_code() (sage.coding.linear_code.AbstractLinearCode method) product_FiniteStateMachine() (sage.combinat.finite_state_machine.FiniteStateMachine method) product_from_element_class_mul() (sage.categories.magmas.Magmas.ParentMethods method) product_of_upper_cluster() (sage.combinat.cluster_complex.ClusterComplexFacet method) product_on_basis() (sage.algebras.affine_nil_temperley_lieb.AffineNilTemperleyLiebTypeA method) (sage.algebras.askey_wilson.AskeyWilsonAlgebra method) (sage.algebras.associated_graded.AssociatedGradedAlgebra method) (sage.algebras.cellular_basis.CellularBasis method) (sage.algebras.down_up_algebra.DownUpAlgebra method) (sage.algebras.finite_gca.FiniteGCAlgebra method) (sage.algebras.free_algebra.FreeAlgebra_generic method) (sage.algebras.fusion_rings.fusion_double.FusionDouble method) (sage.algebras.hall_algebra.HallAlgebra method) (sage.algebras.hall_algebra.HallAlgebraMonomials method) (sage.algebras.hecke_algebras.ariki_koike_algebra.ArikiKoikeAlgebra.LT method) (sage.algebras.hecke_algebras.ariki_koike_algebra.ArikiKoikeAlgebra.T method) (sage.algebras.hecke_algebras.cubic_hecke_algebra.CubicHeckeAlgebra method) (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra.Cp method) (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra.T method) (sage.algebras.lie_algebras.center_uea.CenterUEA method) (sage.algebras.lie_algebras.onsager.QuantumOnsagerAlgebra method) (sage.algebras.lie_algebras.poincare_birkhoff_witt.PoincareBirkhoffWittBasis method) (sage.algebras.orlik_solomon.OrlikSolomonAlgebra method) (sage.algebras.orlik_terao.OrlikTeraoAlgebra method) (sage.algebras.q_commuting_polynomials.qCommutingLaurentPolynomials method) (sage.algebras.q_commuting_polynomials.qCommutingPolynomials method) (sage.algebras.quantum_clifford.QuantumCliffordAlgebraGeneric method) (sage.algebras.quantum_clifford.QuantumCliffordAlgebraRootUnity method) (sage.algebras.quantum_groups.ace_quantum_onsager.ACEQuantumOnsagerAlgebra method) (sage.algebras.quantum_matrix_coordinate_algebra.QuantumGL method) (sage.algebras.quantum_matrix_coordinate_algebra.QuantumMatrixCoordinateAlgebra_abstract method) (sage.algebras.quantum_oscillator.QuantumOscillatorAlgebra method) (sage.algebras.rational_cherednik_algebra.RationalCherednikAlgebra method) (sage.algebras.schur_algebra.SchurAlgebra method) (sage.algebras.shuffle_algebra.ShuffleAlgebra method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) (sage.algebras.tensor_algebra.TensorAlgebra method) (sage.algebras.yangian.GradedYangianNatural method) (sage.algebras.yangian.Yangian method) (sage.algebras.yokonuma_hecke_algebra.YokonumaHeckeAlgebra method) (sage.categories.additive_magmas.AdditiveMagmas.Algebras.ParentMethods method) (sage.categories.additive_semigroups.AdditiveSemigroups.Algebras.ParentMethods method) (sage.categories.algebras_with_basis.AlgebrasWithBasis.TensorProducts.ParentMethods method) (sage.categories.examples.algebras_with_basis.FreeAlgebra method) (sage.categories.examples.finite_dimensional_algebras_with_basis.KroneckerQuiverPathAlgebra method) (sage.categories.examples.graded_connected_hopf_algebras_with_basis.GradedConnectedCombinatorialHopfAlgebraWithPrimitiveGenerator method) (sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method) (sage.categories.examples.lie_algebras_with_basis.IndexedPolynomialRing method) (sage.categories.examples.with_realizations.SubsetAlgebra.Fundamental method) (sage.categories.graded_algebras_with_basis.GradedAlgebrasWithBasis.SignedTensorProducts.ParentMethods method) (sage.categories.magmatic_algebras.MagmaticAlgebras.WithBasis.ParentMethods method) (sage.categories.semigroups.Semigroups.Algebras.ParentMethods method) (sage.combinat.blob_algebra.BlobAlgebra method) (sage.combinat.chas.fsym.FreeSymmetricFunctions.Fundamental method) (sage.combinat.chas.fsym.FreeSymmetricFunctions_Dual.FundamentalDual method) (sage.combinat.chas.wqsym.WordQuasiSymmetricFunctions.Monomial method) (sage.combinat.chas.wqsym.WordQuasiSymmetricFunctions.StronglyCoarser method) (sage.combinat.chas.wqsym.WordQuasiSymmetricFunctions.StronglyFiner method) (sage.combinat.descent_algebra.DescentAlgebra.B method), [1] (sage.combinat.descent_algebra.DescentAlgebra.D method), [1] (sage.combinat.descent_algebra.DescentAlgebra.I method), [1] (sage.combinat.diagram_algebras.DiagramBasis method), [1] (sage.combinat.diagram_algebras.OrbitBasis method), [1] (sage.combinat.fqsym.FreeQuasisymmetricFunctions.F method) (sage.combinat.free_dendriform_algebra.FreeDendriformAlgebra method), [1] (sage.combinat.free_prelie_algebra.FreePreLieAlgebra method), [1] (sage.combinat.grossman_larson_algebras.GrossmanLarsonAlgebra method), [1] (sage.combinat.ncsf_qsym.ncsf.NonCommutativeSymmetricFunctions.MultiplicativeBases.ParentMethods method) (sage.combinat.ncsf_qsym.ncsf.NonCommutativeSymmetricFunctions.Ribbon method) (sage.combinat.ncsf_qsym.qsym.QuasiSymmetricFunctions.Essential method) (sage.combinat.ncsf_qsym.qsym.QuasiSymmetricFunctions.HazewinkelLambda method) (sage.combinat.ncsf_qsym.qsym.QuasiSymmetricFunctions.Monomial method) (sage.combinat.ncsym.bases.MultiplicativeNCSymBases.ParentMethods method) (sage.combinat.ncsym.dual.SymmetricFunctionsNonCommutingVariablesDual.w method) (sage.combinat.ncsym.ncsym.SymmetricFunctionsNonCommutingVariables.monomial method) (sage.combinat.partition_algebra.PartitionAlgebra_generic method), [1] (sage.combinat.partition_shifting_algebras.ShiftingOperatorAlgebra method) (sage.combinat.posets.incidence_algebras.IncidenceAlgebra method), [1] (sage.combinat.posets.moebius_algebra.MoebiusAlgebra.E method), [1] (sage.combinat.posets.moebius_algebra.MoebiusAlgebra.I method), [1] (sage.combinat.posets.moebius_algebra.MoebiusAlgebraBases.ParentMethods method), [1] (sage.combinat.posets.moebius_algebra.QuantumMoebiusAlgebra.E method), [1] (sage.combinat.root_system.weyl_characters.WeightRing method) (sage.combinat.root_system.weyl_characters.WeylCharacterRing method) (sage.combinat.schubert_polynomial.SchubertPolynomialRing_xbasis method) (sage.combinat.sf.multiplicative.SymmetricFunctionAlgebra_multiplicative method) (sage.combinat.sf.new_kschur.kSchur method) (sage.combinat.sf.schur.SymmetricFunctionAlgebra_schur method) (sage.combinat.symmetric_group_algebra.HeckeAlgebraSymmetricGroup_t method) (sage.homology.homology_vector_space_with_basis.CohomologyRing method) (sage.modular.multiple_zeta.Multizetas method) (sage.modular.multiple_zeta.Multizetas_iterated method) (sage.modules.with_basis.representation.Representation_ExteriorAlgebra method) (sage.rings.polynomial.integer_valued_polynomials.IntegerValuedPolynomialRing.Binomial method) (sage.rings.polynomial.integer_valued_polynomials.IntegerValuedPolynomialRing.Shifted method) product_on_basis_left() (sage.algebras.free_zinbiel_algebra.FreeZinbielAlgebra method) product_on_basis_right() (sage.algebras.free_zinbiel_algebra.FreeZinbielAlgebra method) product_on_gens() (sage.algebras.yangian.Yangian method) (sage.algebras.yangian.YangianLevel method) product_space() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) ProductOfChains() (sage.combinat.posets.poset_examples.Posets static method) ProductOfSimplicialSets (class in sage.topology.simplicial_set_constructions) ProductOfSimplicialSets_finite (class in sage.topology.simplicial_set_constructions) ProductProjectiveSpaces() (in module sage.schemes.product_projective.space) ProductProjectiveSpaces_field (class in sage.schemes.product_projective.space) ProductProjectiveSpaces_finite_field (class in sage.schemes.product_projective.space) ProductProjectiveSpaces_morphism_ring (class in sage.schemes.product_projective.morphism) ProductProjectiveSpaces_point_field (class in sage.schemes.product_projective.point) ProductProjectiveSpaces_point_finite_field (class in sage.schemes.product_projective.point) ProductProjectiveSpaces_point_ring (class in sage.schemes.product_projective.point) ProductProjectiveSpaces_ring (class in sage.schemes.product_projective.space) ProductSpecies (class in sage.combinat.species.product_species) ProductSpecies_class (in module sage.combinat.species.product_species) ProductSpeciesStructure (class in sage.combinat.species.product_species) ProductTree (class in sage.rings.generic) profile() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) (sage.categories.finite_permutation_groups.FinitePermutationGroups.ParentMethods method) (sage.combinat.constellation.Constellation_class method) (sage.modules.fp_graded.steenrod.module.SteenrodModuleMixin method) (sage.modules.fp_graded.steenrod.morphism.SteenrodFPModuleMorphism method) profile_polynomial() (sage.categories.finite_permutation_groups.FinitePermutationGroups.ParentMethods method) profile_series() (sage.categories.finite_permutation_groups.FinitePermutationGroups.ParentMethods method) Profiler (class in sage.misc.gperftools) (class in sage.misc.profiler) programs() (sage.databases.oeis.OEISSequence method) project() (sage.manifolds.differentiable.pseudo_riemannian_submanifold.PseudoRiemannianSubmanifold method) (sage.modules.with_basis.invariant.FiniteDimensionalTwistedInvariantModule method) project_ambient() (sage.modules.with_basis.invariant.FiniteDimensionalTwistedInvariantModule method) project_left() (sage.graphs.bipartite_graph.BipartiteGraph method) project_points() (in module sage.geometry.polyhedron.library) project_right() (sage.graphs.bipartite_graph.BipartiteGraph method) project_to_degree() (sage.schemes.toric.chow_group.ChowCycle method) project_to_factor() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) projected_path() (sage.combinat.words.paths.FiniteWordPath_all method) projected_point_iterator() (sage.combinat.words.paths.FiniteWordPath_all method) Projection (class in sage.geometry.polyhedron.plot) projection() (sage.algebras.lie_algebras.onsager.OnsagerAlgebraACE method) (sage.categories.filtered_algebras_with_basis.FilteredAlgebrasWithBasis.ParentMethods method) (sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ParentMethods method) (sage.combinat.crystals.alcove_path.InfinityCrystalOfAlcovePaths.Element method) (sage.combinat.finite_state_machine.FiniteStateMachine method) (sage.combinat.root_system.plot.PlotOptions method) (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) (sage.geometry.polyhedron.base6.Polyhedron_base6 method) (sage.manifolds.differentiable.degenerate_submanifold.DegenerateSubmanifold method) (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) (sage.modular.hecke.module.HeckeModule_free_module method) (sage.monoids.trace_monoid.TraceMonoidElement method) (sage.schemes.curves.affine_curve.AffineCurve_field method) (sage.schemes.curves.projective_curve.ProjectiveCurve method) projection_func_identity() (in module sage.geometry.polyhedron.plot) projection_linear_map (sage.geometry.convex_set.AffineHullProjectionData attribute) projection_lower_half() (in module sage.algebras.quantum_groups.quantum_group_gap) projection_map() (sage.topology.simplicial_set_constructions.ProductOfSimplicialSets_finite method) (sage.topology.simplicial_set_constructions.PullbackOfSimplicialSets_finite method) (sage.topology.simplicial_set_constructions.WedgeOfSimplicialSets_finite method) projection_matrix() (sage.modules.with_basis.invariant.FiniteDimensionalTwistedInvariantModule method) projection_translation (sage.geometry.convex_set.AffineHullProjectionData attribute) ProjectionFuncSchlegel (class in sage.geometry.polyhedron.plot) ProjectionFuncStereographic (class in sage.geometry.polyhedron.plot) projective() (sage.geometry.triangulation.base.Point method) (sage.quivers.path_semigroup.PathSemigroup method) (sage.schemes.curves.closed_point.IntegralAffineCurveClosedPoint method) projective_closure() (sage.schemes.affine.affine_subscheme.AlgebraicScheme_subscheme_affine method) (sage.schemes.curves.affine_curve.AffineCurve method) (sage.schemes.cyclic_covers.cycliccover_generic.CyclicCover_generic method) projective_cover() (sage.quivers.representation.QuiverRep_generic method) projective_degrees() (sage.schemes.projective.projective_morphism.SchemeMorphism_polynomial_projective_subscheme_field method) projective_embedding() (sage.schemes.affine.affine_space.AffineSpace_generic method) (sage.schemes.affine.affine_subscheme.AlgebraicScheme_subscheme_affine method) projective_fundamental_group() (sage.geometry.hyperplane_arrangement.ordered_arrangement.OrderedHyperplaneArrangementElement method) projective_index() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) projective_meridians() (sage.geometry.hyperplane_arrangement.ordered_arrangement.OrderedHyperplaneArrangementElement method) projective_plane() (in module sage.combinat.designs.block_design) projective_plane_to_OA() (in module sage.combinat.designs.block_design) projective_point() (in module sage.schemes.elliptic_curves.constructor) ProjectiveConic_field (class in sage.schemes.plane_conics.con_field) ProjectiveConic_finite_field (class in sage.schemes.plane_conics.con_finite_field) ProjectiveConic_number_field (class in sage.schemes.plane_conics.con_number_field) ProjectiveConic_rational_field (class in sage.schemes.plane_conics.con_rational_field) ProjectiveConic_rational_function_field (class in sage.schemes.plane_conics.con_rational_function_field) ProjectiveCurve (class in sage.schemes.curves.projective_curve) ProjectiveCurve_field (class in sage.schemes.curves.projective_curve) ProjectiveCurvePoint_field (class in sage.schemes.curves.point) ProjectiveGeometryDesign() (in module sage.combinat.designs.block_design) ProjectiveHypersurface (class in sage.schemes.generic.hypersurface) ProjectivePlane() (in module sage.topology.simplicial_complex_examples) ProjectivePlaneCurve (class in sage.schemes.curves.projective_curve) ProjectivePlaneCurve_field (class in sage.schemes.curves.projective_curve) ProjectivePlaneCurve_finite_field (class in sage.schemes.curves.projective_curve) ProjectivePlaneCurveArrangementElement (class in sage.schemes.curves.plane_curve_arrangement) ProjectivePlaneCurveArrangements (class in sage.schemes.curves.plane_curve_arrangement) ProjectivePlaneCurvePoint_field (class in sage.schemes.curves.point) ProjectivePlaneCurvePoint_finite_field (class in sage.schemes.curves.point) projectives() (sage.quivers.ar_quiver.AuslanderReitenQuiver method) ProjectiveSpace() (in module sage.schemes.projective.projective_space) ProjectiveSpace_field (class in sage.schemes.projective.projective_space) ProjectiveSpace_finite_field (class in sage.schemes.projective.projective_space) ProjectiveSpace_rational_field (class in sage.schemes.projective.projective_space) ProjectiveSpace_ring (class in sage.schemes.projective.projective_space) projector() (sage.manifolds.differentiable.pseudo_riemannian_submanifold.PseudoRiemannianSubmanifold method) promotion() (sage.combinat.affine_permutation.AffinePermutationTypeA method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_A method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_E6 method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_spin method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_vertical method) (sage.combinat.crystals.tensor_product_element.CrystalOfTableauxElement method) (sage.combinat.path_tableaux.path_tableau.PathTableau method) (sage.combinat.posets.linear_extensions.LinearExtensionOfPoset method) (sage.combinat.posets.posets.FinitePoset method) (sage.combinat.tableau.StandardTableau method) (sage.combinat.tableau.Tableau method) promotion_inverse() (sage.combinat.crystals.kirillov_reshetikhin.KR_type_A method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_E6 method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_spin method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_vertical method) (sage.combinat.crystals.tensor_product_element.CrystalOfTableauxElement method) (sage.combinat.tableau.StandardTableau method) (sage.combinat.tableau.Tableau method) promotion_on_highest_weight_vector() (sage.combinat.crystals.kirillov_reshetikhin.KR_type_vertical method) promotion_on_highest_weight_vectors() (sage.combinat.crystals.kirillov_reshetikhin.KR_type_E6 method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_spin method) promotion_on_highest_weight_vectors_function() (sage.combinat.crystals.kirillov_reshetikhin.KR_type_E6 method) promotion_on_highest_weight_vectors_inverse() (sage.combinat.crystals.kirillov_reshetikhin.KR_type_spin method) promotion_operator() (sage.combinat.tableau.Tableau method) prompt_for_code() (sage.repl.interpreter.SageTerminalInteractiveShell method) proof_flag() (in module sage.rings.number_field.number_field) propagating_number() (in module sage.combinat.diagram_algebras), [1] (in module sage.combinat.partition_algebra), [1] (sage.combinat.diagram_algebras.AbstractPartitionDiagram method), [1] PropagatingIdeal (class in sage.combinat.diagram_algebras), [1] PropagatingIdeal.Element (class in sage.combinat.diagram_algebras), [1] properties() (sage.combinat.cluster_algebra_quiver.quiver_mutation_type.QuiverMutationType_abstract method) properties_raw() (sage.databases.findstat.FindStatMap method) Property (class in sage.repl.rich_output.preferences) PropertyDocumenter (class in sage_docbuild.ext.sage_autodoc) PROTO() (sage.misc.explain_pickle.PickleExplainer method) prove() (sage.logic.logic.SymbolicLogic method) prove_BSD() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) prune() (sage.combinat.binary_tree.BinaryTree method) (sage.topology.filtered_simplicial_complex.FilteredSimplicialComplex method) pruned_tree() (in module sage.graphs.generators.random) ps_modsym_from_elliptic_curve() (in module sage.modular.pollack_stevens.space) ps_modsym_from_simple_modsym_space() (in module sage.modular.pollack_stevens.space) PS_represent() (in module sage.groups.perm_gps.partn_ref.data_structures) PSage (class in sage.interfaces.psage) PSageElement (class in sage.interfaces.psage) pSelmerGroup() (in module sage.rings.number_field.selmer_group) pseudo_div() (sage.libs.flint.fmpz_poly_sage.Fmpz_poly method) pseudo_div_rem() (sage.libs.flint.fmpz_poly_sage.Fmpz_poly method) pseudo_divrem() (sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint method) pseudo_order() (sage.categories.finite_monoids.FiniteMonoids.ElementMethods method) pseudo_partition_graph() (in module sage.graphs.generators.distance_regular) pseudo_quo_rem() (sage.rings.polynomial.polynomial_element.Polynomial method) pseudocomplement() (sage.combinat.posets.hasse_diagram.HasseDiagram method) (sage.combinat.posets.lattices.FiniteMeetSemilattice method) PseudoConwayLattice (class in sage.rings.finite_rings.conway_polynomials) pseudoinverse() (in module sage.rings.polynomial.real_roots) (sage.matrix.matrix2.Matrix method) PseudolineArrangement (class in sage.geometry.pseudolines) pseudorandom_primitive_zero_mod_p() (in module sage.quadratic_forms.ternary) (sage.quadratic_forms.ternary_qf.TernaryQF method) PseudoRiemannianManifold (class in sage.manifolds.differentiable.pseudo_riemannian) PseudoRiemannianMetric (class in sage.manifolds.differentiable.metric) PseudoRiemannianMetricParal (class in sage.manifolds.differentiable.metric) PseudoRiemannianStructure (class in sage.manifolds.structure) PseudoRiemannianSubmanifold (class in sage.manifolds.differentiable.pseudo_riemannian_submanifold) pseudoscalar() (sage.algebras.clifford_algebra.CliffordAlgebra method) Psi() (in module sage.matroids.database_matroids) psi() (in module sage.modular.modsym.p1list_nf) Psi() (in module sage.schemes.elliptic_curves.isogeny_small_degree) psi() (sage.dynamics.arithmetic_dynamics.wehlerK3.WehlerK3Surface_ring method) (sage.modular.modform.element.EisensteinSeries method) (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.valuation.augmented_valuation.AugmentedValuation_base method) (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method) Psi2() (in module sage.schemes.elliptic_curves.isogeny_small_degree) psi_involution() (sage.combinat.fqsym.FQSymBases.ElementMethods method) (sage.combinat.ncsf_qsym.ncsf.NonCommutativeSymmetricFunctions.Bases.ElementMethods method) (sage.combinat.ncsf_qsym.ncsf.NonCommutativeSymmetricFunctions.Complete.Element method) (sage.combinat.ncsf_qsym.ncsf.NonCommutativeSymmetricFunctions.Elementary.Element method) (sage.combinat.ncsf_qsym.ncsf.NonCommutativeSymmetricFunctions.Phi.Element method) (sage.combinat.ncsf_qsym.qsym.QuasiSymmetricFunctions.Bases.ElementMethods method) (sage.combinat.ncsf_qsym.qsym.QuasiSymmetricFunctions.Monomial.Element method) PSL (class in sage.groups.perm_gps.permgroup_named) PSModSymAction (class in sage.modular.pollack_stevens.modsym) PSModularSymbolElement (class in sage.modular.pollack_stevens.modsym) PSModularSymbolElement_dist (class in sage.modular.pollack_stevens.modsym) PSModularSymbolElement_symk (class in sage.modular.pollack_stevens.modsym) PSp (class in sage.groups.perm_gps.permgroup_named) PSP (in module sage.groups.perm_gps.permgroup_named) PSpline (class in sage.calculus.interpolators) pst() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) pst_mono_to_string() (in module sage.algebras.steenrod.steenrod_algebra_misc) PSU (class in sage.groups.perm_gps.permgroup_named) pth_power() (sage.rings.algebraic_closure_finite_field.AlgebraicClosureFiniteFieldElement method) (sage.rings.derivation.RingDerivationWithoutTwist method) (sage.rings.finite_rings.element_base.FinitePolyExtElement method) (sage.rings.finite_rings.element_pari_ffelt.FiniteFieldElement_pari_ffelt method) pth_root() (sage.rings.algebraic_closure_finite_field.AlgebraicClosureFiniteFieldElement method) (sage.rings.finite_rings.element_base.FinitePolyExtElement method) pthpowers() (sage.combinat.binary_recurrence_sequences.BinaryRecurrenceSequence method) public_key() (sage.crypto.public_key.blum_goldwasser.BlumGoldwasser method) PublicKeyCipher (class in sage.crypto.cipher) PublicKeyCryptosystem (class in sage.crypto.cryptosystem) PuiseuxSeries (class in sage.rings.puiseux_series_ring_element) PuiseuxSeriesRing (class in sage.rings.puiseux_series_ring) pull_from_function_field() (sage.schemes.curves.affine_curve.IntegralAffineCurve method) (sage.schemes.curves.projective_curve.IntegralProjectiveCurve method) pullback() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method), [1] (sage.manifolds.chart.Chart method) (sage.manifolds.continuous_map.ContinuousMap method) (sage.manifolds.differentiable.diff_map.DiffMap method) (sage.manifolds.scalarfield.ScalarField method) (sage.topology.simplicial_set.SimplicialSet_arbitrary method) (sage.topology.simplicial_set_morphism.SimplicialSetMorphism method) pullback_divisor() (sage.schemes.toric.morphism.SchemeMorphism_fan_fiber_component_toric_variety method) (sage.schemes.toric.morphism.SchemeMorphism_fan_toric_variety method) (sage.schemes.toric.morphism.SchemeMorphism_orbit_closure_toric_variety method) PullbackOfSimplicialSets (class in sage.topology.simplicial_set_constructions) PullbackOfSimplicialSets_finite (class in sage.topology.simplicial_set_constructions) punctured() (sage.coding.linear_code.AbstractLinearCode method) punctured_positions() (sage.coding.punctured_code.PuncturedCode method) PuncturedCode (class in sage.coding.punctured_code) PuncturedCodeOriginalCodeDecoder (class in sage.coding.punctured_code) PuncturedCodePuncturedMatrixEncoder (class in sage.coding.punctured_code) pure_conjugating_braid() (sage.groups.braid.Braid method) PureCactusGroup (class in sage.groups.cactus_group) push() (sage.misc.explain_pickle.PickleExplainer method) (sage.repl.preparse.QuoteStack method) push_and_share() (sage.misc.explain_pickle.PickleExplainer method) push_mark() (sage.misc.explain_pickle.PickleExplainer method) push_transform() (sage.plot.plot3d.base.RenderParams method) pushforward() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method), [1] (sage.categories.morphism.Morphism method) (sage.groups.libgap_morphism.GroupMorphism_libgap method) (sage.manifolds.differentiable.diff_map.DiffMap method) (sage.modules.free_module_morphism.FreeModuleMorphism method) (sage.rings.morphism.RingHomomorphism method) pushing_triangulation() (sage.geometry.triangulation.point_configuration.PointConfiguration method) pushout() (in module sage.categories.pushout), [1] (sage.categories.pushout.ConstructionFunctor method), [1] (sage.topology.simplicial_set.SimplicialSet_arbitrary method) (sage.topology.simplicial_set_morphism.SimplicialSetMorphism method) pushout_lattice() (in module sage.categories.pushout), [1] PushoutOfSimplicialSets (class in sage.topology.simplicial_set_constructions) PushoutOfSimplicialSets_finite (class in sage.topology.simplicial_set_constructions) pushover() (in module sage.misc.messaging) PUT() (sage.misc.explain_pickle.PickleExplainer method) put_in_canonical_form() (sage.coding.binary_code.BinaryCodeClassifier method) put_in_front() (sage.combinat.root_system.braid_move_calculator.BraidMoveCalculator method) put_in_std_form() (sage.coding.binary_code.BinaryCode method) put_natural_embedding_first() (in module sage.rings.number_field.number_field) puzzle_pieces() (sage.combinat.knutson_tao_puzzles.KnutsonTaoPuzzleSolver method) PuzzleFilling (class in sage.combinat.knutson_tao_puzzles) PuzzlePiece (class in sage.combinat.knutson_tao_puzzles) PuzzlePieces (class in sage.combinat.knutson_tao_puzzles) PvW0() (sage.combinat.root_system.extended_affine_weyl_group.ExtendedAffineWeylGroup_Class method) PW0() (sage.combinat.root_system.extended_affine_weyl_group.ExtendedAffineWeylGroup_Class method) PW0_to_WF_func() (sage.combinat.root_system.extended_affine_weyl_group.ExtendedAffineWeylGroup_Class method) pwitt() (in module sage.algebras.lie_algebras.examples) py_atan2_for_doctests() (in module sage.symbolic.expression) py_denom_for_doctests() (in module sage.symbolic.expression) py_eval_infinity_for_doctests() (in module sage.symbolic.expression) py_eval_neg_infinity_for_doctests() (in module sage.symbolic.expression) py_eval_unsigned_infinity_for_doctests() (in module sage.symbolic.expression) py_exp_for_doctests() (in module sage.symbolic.expression) py_ext_sig_re (in module sage_docbuild.ext.sage_autodoc) py_factorial_py() (in module sage.symbolic.expression) py_float_for_doctests() (in module sage.symbolic.expression) py_imag_for_doctests() (in module sage.symbolic.expression) py_is_cinteger_for_doctest() (in module sage.symbolic.expression) py_is_crational_for_doctest() (in module sage.symbolic.expression) py_is_integer_for_doctests() (in module sage.symbolic.expression) py_latex_fderivative_for_doctests() (in module sage.symbolic.expression) py_latex_function_pystring() (in module sage.symbolic.expression) py_latex_variable_for_doctests() (in module sage.symbolic.expression) py_lgamma_for_doctests() (in module sage.symbolic.expression) py_li2_for_doctests() (in module sage.symbolic.expression) py_li_for_doctests() (in module sage.symbolic.expression) py_log_for_doctests() (in module sage.symbolic.expression) py_mod_for_doctests() (in module sage.symbolic.expression) py_numer_for_doctests() (in module sage.symbolic.expression) py_print_fderivative_for_doctests() (in module sage.symbolic.expression) py_print_function_pystring() (in module sage.symbolic.expression) py_psi2_for_doctests() (in module sage.symbolic.expression) py_psi_for_doctests() (in module sage.symbolic.expression) py_real_for_doctests() (in module sage.symbolic.expression) py_scalar_parent() (in module sage.structure.coerce) py_scalar_to_element() (in module sage.structure.coerce) py_stieltjes_for_doctests() (in module sage.symbolic.expression) py_tgamma_for_doctests() (in module sage.symbolic.expression) py_zeta_for_doctests() (in module sage.symbolic.expression) PyFunctionWrapper (class in sage.calculus.integration) (class in sage.calculus.ode) PynacConstant (class in sage.symbolic.expression) PyNormaliz (class in sage.features.normaliz) pyobject() (sage.symbolic.expression.Expression method) (sage.symbolic.expression_conversions.Converter method) (sage.symbolic.expression_conversions.ExpressionTreeWalker method) (sage.symbolic.expression_conversions.FakeExpression method) (sage.symbolic.expression_conversions.FastCallableConverter method) (sage.symbolic.expression_conversions.FriCASConverter method) (sage.symbolic.expression_conversions.InterfaceInit method) (sage.symbolic.expression_conversions.PolynomialConverter method) (sage.symbolic.expression_conversions.RingConverter method) pyobject_to_max() (in module sage.interfaces.maxima_lib) pyprocessing() (in module sage.parallel.multiprocessing_sage) pyramid() (sage.geometry.polyhedron.base5.Polyhedron_base5 method) (sage.geometry.polyhedron.combinatorial_polyhedron.base.CombinatorialPolyhedron method) (sage.geometry.polyhedron.combinatorial_polyhedron.list_of_faces.ListOfFaces method) pyramid_weight() (sage.combinat.dyck_word.DyckWord_complete method) PyScalarAction (class in sage.structure.coerce_actions) Python (class in sage.misc.python) Python Enhancement Proposals PEP 263 PEP 3127 PEP 3141 python() (sage.libs.ecl.EclObject method) python_calls() (sage.ext.fast_callable.Wrapper method) python_random() (sage.misc.randstate.randstate method) PythonModule (class in sage.features) PythonObjectWithTests (class in sage.misc.sage_unittest) PythonSource (class in sage.doctest.sources)
Index – P P (class in sage.graphs.pq_trees) p (sage.combinat.ncsym.ncsym.SymmetricFunctionsNonCommutingVariables attribute) P (sage.geometry.polyhedron.combinatorial_polyhedron.face_iterator.FaceIterator_geom attribute) p (sage.matrix.matrix_modn_sparse.Matrix_modn_sparse attribute) (sage.modular.modsym.heilbronn.HeilbronnCremona attribute) (sage.rings.polynomial.pbori.pbori.BooleanPolynomialEntry attribute) P() (in module sage.combinat.designs.steiner_quadruple_systems) p() (sage.algebras.lie_algebras.heisenberg.HeisenbergAlgebra_abstract method) (sage.algebras.lie_algebras.heisenberg.HeisenbergAlgebra_matrix method) P() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) (sage.combinat.kazhdan_lusztig.KazhdanLusztigPolynomial method) (sage.combinat.sf.hall_littlewood.HallLittlewood method) (sage.combinat.sf.jack.Jack method) (sage.combinat.sf.macdonald.Macdonald method) p() (sage.combinat.sf.sf.SymmetricFunctions method) P() (sage.quivers.path_semigroup.PathSemigroup method) p() (sage.rings.continued_fraction.ContinuedFraction_base method) (sage.rings.padics.padic_valuation.pAdicValuation_base method) P() (sage.schemes.toric.library.ToricVarietyFactory method) P1() (sage.modular.pollack_stevens.fund_domain.PollackStevensModularDomain method) (sage.schemes.toric.library.ToricVarietyFactory method) p1_element() (sage.schemes.elliptic_curves.heegner.GaloisAutomorphismQuadraticForm method) p1_normalize() (in module sage.modular.modsym.p1list) p1_normalize_int() (in module sage.modular.modsym.p1list) p1_normalize_llong() (in module sage.modular.modsym.p1list) P1List (class in sage.modular.modsym.p1list) p1list() (in module sage.modular.modsym.p1list) (sage.modular.modsym.ambient.ModularSymbolsAmbient method) p1list_int() (in module sage.modular.modsym.p1list) p1list_llong() (in module sage.modular.modsym.p1list) P1NFList (class in sage.modular.modsym.p1list_nf) p1NFlist() (in module sage.modular.modsym.p1list_nf) P1NFList_clear_level_cache() (in module sage.modular.modsym.p1list_nf) P1xA1() (sage.schemes.toric.library.ToricVarietyFactory method) P1xP1() (sage.schemes.toric.library.ToricVarietyFactory method) P1xP1_Z2() (sage.schemes.toric.library.ToricVarietyFactory method) P2() (sage.schemes.toric.library.ToricVarietyFactory method) P2_112() (sage.schemes.toric.library.ToricVarietyFactory method) P2_123() (sage.schemes.toric.library.ToricVarietyFactory method) p3_group_bitrade_generators() (in module sage.combinat.matrices.latin) P4_11133() (sage.schemes.toric.library.ToricVarietyFactory method) P4_11133_resolved() (sage.schemes.toric.library.ToricVarietyFactory method) P4_11169() (sage.schemes.toric.library.ToricVarietyFactory method) P4_11169_resolved() (sage.schemes.toric.library.ToricVarietyFactory method) P6() (in module sage.matroids.database_matroids) P7() (in module sage.matroids.database_matroids) P8() (in module sage.matroids.database_matroids) P8p() (in module sage.matroids.database_matroids) P8pp() (in module sage.matroids.database_matroids) P9() (in module sage.matroids.database_matroids) p_adic_LLL_bound() (in module sage.rings.number_field.S_unit_solver) p_adic_LLL_bound_one_prime() (in module sage.rings.number_field.S_unit_solver) p_adic_normal_form() (in module sage.quadratic_forms.genera.normal_form) p_adic_symbol() (in module sage.quadratic_forms.genera.genus) p_arg() (sage.misc.parser.Parser method) p_args() (sage.misc.parser.Parser method) p_atom() (sage.misc.parser.Parser method) P_chain() (sage.combinat.growth.GrowthDiagram method) p_eqn() (sage.misc.parser.Parser method) p_exponents() (sage.algebras.lie_algebras.representation.FaithfulRepresentationPBWPosChar method) p_expr() (sage.misc.parser.Parser method) p_factor() (sage.misc.parser.Parser method) P_graph() (sage.combinat.growth.Rule method) p_iter_fork (class in sage.parallel.use_fork) p_list() (sage.misc.parser.Parser method) p_matrix() (sage.misc.parser.Parser method) p_minimal_polynomials() (sage.matrix.compute_J_ideal.ComputeMinimalPolynomials method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) p_part() (in module sage.matrix.compute_J_ideal) p_partition_enumerator() (sage.combinat.posets.posets.FinitePoset method) p_power() (sage.misc.parser.Parser method) p_primary_bound() (sage.schemes.elliptic_curves.sha_tate.Sha method) p_primary_order() (sage.schemes.elliptic_curves.sha_tate.Sha method) p_primary_part() (sage.rings.integer.Integer method) p_projections() (in module sage.schemes.elliptic_curves.saturation) p_radical() (sage.rings.function_field.order_polymod.FunctionFieldMaximalOrder_global method) p_rank() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method) p_saturation() (in module sage.matrix.matrix_integer_dense_saturation) (sage.schemes.elliptic_curves.saturation.EllipticCurveSaturator method) p_sequence() (sage.misc.parser.Parser method) p_stabilize() (sage.modular.pollack_stevens.manin_map.ManinMap method) (sage.modular.pollack_stevens.modsym.PSModularSymbolElement_symk method) p_stabilize_and_lift() (sage.modular.pollack_stevens.modsym.PSModularSymbolElement_symk method) P_symbol() (sage.combinat.growth.GrowthDiagram method) (sage.combinat.growth.RuleDomino method) (sage.combinat.growth.RuleLLMS method) (sage.combinat.growth.RulePartitions method) (sage.combinat.growth.RuleShiftedShapes method) (sage.combinat.growth.RuleSylvester method) p_term() (sage.misc.parser.Parser method) P_to_S() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method) p_tuple() (sage.misc.parser.Parser method) pa() (sage.combinat.sine_gordon.SineGordonYsystem method) package_manifest() (in module sage.misc.package) package_systems() (in module sage.features) package_versions() (in module sage.misc.package) PackageInfo (class in sage.misc.package) PackageSystem (class in sage.features.pkg_systems) packing() (sage.combinat.designs.incidence_structures.IncidenceStructure method), [1] pad_right() (in module sage.combinat.regular_sequence) pad_zeros() (in module sage.matrix.matrix_integer_dense_hnf) (in module sage.misc.misc) padded_list() (sage.modular.modform.element.ModularForm_abstract method) (sage.rings.multi_power_series_ring_element.MPowerSeries method) (sage.rings.polynomial.ore_polynomial_element.OrePolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.power_series_pari.PowerSeries_pari method) (sage.rings.power_series_ring_element.PowerSeries method) pade() (sage.rings.power_series_poly.PowerSeries_poly method) padic_automorphic_forms() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) padic_E2() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) padic_elliptic_logarithm() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_finite_field method) (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method) padic_H_value() (sage.modular.hypergeometric_motive.HypergeometricData method) padic_height() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) (sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method) padic_height_pairing_matrix() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) padic_height_via_multiply() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) padic_lseries() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) (sage.modular.pollack_stevens.modsym.PSModularSymbolElement_dist method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) padic_regulator() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) (sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method) padic_sigma() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) padic_sigma_truncated() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) pAdicAutomorphicFormElement (class in sage.modular.btquotients.pautomorphicform) pAdicAutomorphicForms (class in sage.modular.btquotients.pautomorphicform) pAdicBaseGeneric (class in sage.rings.padics.padic_base_generic) pAdicCappedAbsoluteElement (class in sage.rings.padics.padic_capped_absolute_element) pAdicCappedAbsoluteRingGeneric (class in sage.rings.padics.generic_nodes) pAdicCappedRelativeElement (class in sage.rings.padics.padic_capped_relative_element) pAdicCappedRelativeFieldGeneric (class in sage.rings.padics.generic_nodes) pAdicCappedRelativeRingGeneric (class in sage.rings.padics.generic_nodes) pAdicCoercion_CA_frac_field (class in sage.rings.padics.padic_capped_absolute_element) pAdicCoercion_CR_frac_field (class in sage.rings.padics.padic_capped_relative_element) pAdicCoercion_FM_frac_field (class in sage.rings.padics.padic_fixed_mod_element) pAdicCoercion_QQ_CR (class in sage.rings.padics.padic_capped_relative_element) pAdicCoercion_ZZ_CA (class in sage.rings.padics.padic_capped_absolute_element) pAdicCoercion_ZZ_CR (class in sage.rings.padics.padic_capped_relative_element) pAdicCoercion_ZZ_FM (class in sage.rings.padics.padic_fixed_mod_element) pAdicConvert_CA_frac_field (class in sage.rings.padics.padic_capped_absolute_element) pAdicConvert_CA_ZZ (class in sage.rings.padics.padic_capped_absolute_element) pAdicConvert_CR_frac_field (class in sage.rings.padics.padic_capped_relative_element) pAdicConvert_CR_QQ (class in sage.rings.padics.padic_capped_relative_element) pAdicConvert_CR_ZZ (class in sage.rings.padics.padic_capped_relative_element) pAdicConvert_FM_frac_field (class in sage.rings.padics.padic_fixed_mod_element) pAdicConvert_FM_ZZ (class in sage.rings.padics.padic_fixed_mod_element) pAdicConvert_QQ_CA (class in sage.rings.padics.padic_capped_absolute_element) pAdicConvert_QQ_CR (class in sage.rings.padics.padic_capped_relative_element) pAdicConvert_QQ_FM (class in sage.rings.padics.padic_fixed_mod_element) pAdicEisensteinSeries() (sage.modular.overconvergent.weightspace.WeightCharacter method) pAdicExtElement (class in sage.rings.padics.padic_ext_element) pAdicExtension_class (class in sage.rings.padics.factory) pAdicExtensionGeneric (class in sage.rings.padics.padic_extension_generic) pAdicField (class in sage.rings.abc) pAdicFieldBaseGeneric (class in sage.rings.padics.generic_nodes) pAdicFieldCappedRelative (class in sage.rings.padics.padic_base_leaves) pAdicFieldFloatingPoint (class in sage.rings.padics.padic_base_leaves) pAdicFieldGeneric (class in sage.rings.padics.generic_nodes) pAdicFieldLattice (class in sage.rings.padics.padic_base_leaves) pAdicFieldRelaxed (class in sage.rings.padics.padic_base_leaves) pAdicFixedModElement (class in sage.rings.padics.padic_fixed_mod_element) pAdicFixedModRingGeneric (class in sage.rings.padics.generic_nodes) pAdicFloatingPointFieldGeneric (class in sage.rings.padics.generic_nodes) pAdicFloatingPointRingGeneric (class in sage.rings.padics.generic_nodes) pAdicFromLimitValuation (class in sage.rings.padics.padic_valuation) pAdicGeneric (class in sage.rings.padics.padic_generic) pAdicGenericElement (class in sage.rings.padics.padic_generic_element) pAdicLatticeGeneric (class in sage.rings.padics.generic_nodes) pAdicLseries (class in sage.modular.pollack_stevens.padic_lseries) (class in sage.schemes.elliptic_curves.padic_lseries) pAdicLseriesOrdinary (class in sage.schemes.elliptic_curves.padic_lseries) pAdicLseriesSupersingular (class in sage.schemes.elliptic_curves.padic_lseries) pAdicModuleIsomorphism (class in sage.rings.padics.padic_extension_generic) pAdicPrinter() (in module sage.rings.padics.padic_printing) pAdicPrinter_class (class in sage.rings.padics.padic_printing) pAdicPrinterDefaults (class in sage.rings.padics.padic_printing) pAdicRelaxedGeneric (class in sage.rings.padics.generic_nodes) pAdicRing (class in sage.rings.abc) pAdicRingBaseGeneric (class in sage.rings.padics.generic_nodes) pAdicRingCappedAbsolute (class in sage.rings.padics.padic_base_leaves) pAdicRingCappedRelative (class in sage.rings.padics.padic_base_leaves) pAdicRingFixedMod (class in sage.rings.padics.padic_base_leaves) pAdicRingFloatingPoint (class in sage.rings.padics.padic_base_leaves) pAdicRingGeneric (class in sage.rings.padics.generic_nodes) pAdicRingLattice (class in sage.rings.padics.padic_base_leaves) pAdicRingRelaxed (class in sage.rings.padics.padic_base_leaves) pAdicTemplateElement (class in sage.rings.padics.padic_capped_absolute_element) (class in sage.rings.padics.padic_capped_relative_element) (class in sage.rings.padics.padic_fixed_mod_element) pAdicValuation_base (class in sage.rings.padics.padic_valuation) pAdicValuation_int (class in sage.rings.padics.padic_valuation) pAdicValuation_padic (class in sage.rings.padics.padic_valuation) PadicValuationFactory (class in sage.rings.padics.padic_valuation) pAdicZZpXCAElement (class in sage.rings.padics.padic_ZZ_pX_CA_element) pAdicZZpXCRElement (class in sage.rings.padics.padic_ZZ_pX_CR_element) pAdicZZpXElement (class in sage.rings.padics.padic_ZZ_pX_element) pAdicZZpXFMElement (class in sage.rings.padics.padic_ZZ_pX_FM_element) pager() (in module sage.misc.pager) pagerank() (sage.graphs.generic_graph.GenericGraph method) pair() (sage.algebras.quatalg.quaternion_algebra_element.QuaternionAlgebraElement_abstract method) pair_class (sage.geometry.polyhedron.double_description.Problem attribute) (sage.geometry.polyhedron.double_description.StandardAlgorithm attribute) pair_to_graph() (in module sage.combinat.diagram_algebras), [1] (in module sage.combinat.partition_algebra), [1] paired_sides() (sage.modular.arithgroup.farey_symbol.Farey method) pairing() (in module sage.interfaces.kenzo) pairing_matrices() (sage.modular.arithgroup.farey_symbol.Farey method) pairing_matrices_to_tietze_index() (sage.modular.arithgroup.farey_symbol.Farey method) pairings() (sage.modular.arithgroup.farey_symbol.Farey method) Pairs_Y (class in sage.structure.set_factories_example) pairs_y() (sage.structure.set_factories_example.AllPairs method) PairsX_ (class in sage.structure.set_factories_example) pairwise_product() (sage.modules.free_module_element.FreeModuleElement method) PairwiseBalancedDesign (class in sage.combinat.designs.bibd) PairwiseCompatibleSubsets (class in sage.combinat.subsets_pairwise) pak_correspondence() (in module sage.combinat.hillman_grassl) (sage.combinat.hillman_grassl.WeakReversePlanePartition method) Paley() (sage.graphs.digraph_generators.DiGraphGenerators method) PaleyGraph() (in module sage.graphs.generators.families) (sage.graphs.graph_generators.GraphGenerators static method) palindrome_prefixes() (sage.combinat.words.finite_word.FiniteWord_class method) palindrome_prefixes_iterator() (sage.combinat.words.abstract_word.Word_class method) palindromes() (sage.combinat.words.finite_word.FiniteWord_class method) palindromic_closure() (sage.combinat.words.finite_word.FiniteWord_class method) palindromic_complexity() (sage.combinat.words.finite_word.FiniteWord_class method) palindromic_lacunas_study() (sage.combinat.words.finite_word.FiniteWord_class method) PalindromicDefectWord() (sage.combinat.words.word_generators.WordGenerator method) Pall_mass_density_at_odd_prime() (sage.quadratic_forms.quadratic_form.QuadraticForm method) PALPreader (class in sage.geometry.polyhedron.palp_database) PanAxiom (class in sage.interfaces.axiom) PanAxiomElement (class in sage.interfaces.axiom) PanAxiomExpectFunction (class in sage.interfaces.axiom) PanAxiomFunctionElement (class in sage.interfaces.axiom) Pandoc (class in sage.features.pandoc) panyushev_complement() (sage.categories.finite_posets.FinitePosets.ParentMethods method) panyushev_orbit_iter() (sage.categories.finite_posets.FinitePosets.ParentMethods method) panyushev_orbits() (sage.categories.finite_posets.FinitePosets.ParentMethods method) Pappus() (in module sage.matroids.database_matroids) PappusGraph() (in module sage.graphs.generators.smallgraphs) (sage.graphs.graph_generators.GraphGenerators static method) par_names() (sage.libs.singular.function.RingWrap method) Paraboloid() (sage.geometry.riemannian_manifolds.surface3d_generators.SurfaceGenerators static method) Parallel (class in sage.parallel.decorate) PARALLEL (sage.graphs.graph_decompositions.modular_decomposition.NodeType attribute) parallel() (in module sage.parallel.decorate) parallel_dispatch() (sage.doctest.forker.DocTestDispatcher method) parallel_firing_graph() (in module sage.sandpiles.sandpile) parallel_iter() (in module sage.parallel.multiprocessing_sage) (in module sage.parallel.reference) parallel_reduce() (in module sage.rings.polynomial.pbori.pbori) parallel_translation_numerical() (sage.geometry.riemannian_manifolds.parametrized_surface3d.ParametrizedSurface3D method) ParallelFunction (class in sage.parallel.decorate) Parallelism (class in sage.parallel.parallelism) ParallelogramPolyomino (class in sage.combinat.parallelogram_polyomino) ParallelogramPolyominoes() (in module sage.combinat.parallelogram_polyomino) ParallelogramPolyominoes_all (class in sage.combinat.parallelogram_polyomino) ParallelogramPolyominoes_size (class in sage.combinat.parallelogram_polyomino) ParallelogramPolyominoesFactory (class in sage.combinat.parallelogram_polyomino) ParallelogramPolyominoesOptions (in module sage.combinat.parallelogram_polyomino) parallelotope() (sage.geometry.polyhedron.library.Polytopes method) parameter() (sage.rings.integer_ring.IntegerRing_class method) (sage.rings.polynomial.ore_function_field.OreFunctionField method) (sage.rings.polynomial.ore_polynomial_ring.OrePolynomialRing method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) (sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method) parameter_set() (sage.symbolic.operators.FDerivativeOperator method) parameters() (sage.algebras.lie_algebras.virasoro.ChargelessRepresentation method) (sage.coding.guruswami_sudan.gs_decoder.GRSGuruswamiSudanDecoder method) (sage.coding.information_set_decoder.InformationSetAlgorithm method) (sage.coding.kasami_codes.KasamiCode method) (sage.combinat.regular_sequence.RecurrenceParser method) (sage.combinat.root_system.hecke_algebra_representation.HeckeAlgebraRepresentation method) (sage.modular.modform.eisenstein_submodule.EisensteinSubmodule_params method) (sage.modular.modform.element.EisensteinSeries method) parameters_given_tau() (sage.coding.guruswami_sudan.gs_decoder.GRSGuruswamiSudanDecoder static method) parametric_plot() (in module sage.plot.plot) (sage.plot.plot3d.tachyon.Tachyon method) parametric_plot3d() (in module sage.plot.plot3d.parametric_plot3d) parametric_representation() (sage.schemes.curves.affine_curve.IntegralAffineCurve method) ParametricPlot (class in sage.plot.plot3d.tachyon) ParametricSurface (class in sage.plot.plot3d.parametric_surface) parametrisation_onto_original_curve() (sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method) parametrisation_onto_tate_curve() (sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method) parametrization() (sage.schemes.plane_conics.con_field.ProjectiveConic_field method) (sage.schemes.plane_conics.con_rational_field.ProjectiveConic_rational_field method) ParametrizedSurface3D (class in sage.geometry.riemannian_manifolds.parametrized_surface3d) paramset_from_Expression() (in module sage.symbolic.expression) Parent (class in sage.structure.parent) (class in sage.structure.parent_old) parent (sage_docbuild.ext.sage_autodoc.DataDocumenterMixinBase attribute) parent() (in module sage.structure.element) (sage.algebras.cluster_algebra.ClusterAlgebraSeed method) (sage.categories.map.Map method) (sage.combinat.root_system.weyl_characters.WeightRing method) (sage.combinat.species.structure.GenericSpeciesStructure method) (sage.combinat.words.abstract_word.Word_class method) (sage.geometry.lattice_polytope.LatticePolytopeClass method) (sage.numerical.backends.logging_backend.LoggingBackend method) (sage.rings.function_field.jacobian_base.JacobianGroup_base method) (sage.schemes.elliptic_curves.heegner.GaloisAutomorphism method) (sage.structure.element.Element method) (sage.structure.sage_object.SageObject method) parent_class() (sage.categories.category.Category method) parent_is_integers() (in module sage.structure.coerce) parent_is_numerical() (in module sage.structure.coerce) parent_is_real_numerical() (in module sage.structure.coerce) parent_to_repr_short() (in module sage.rings.asymptotic.misc) parent_with_gens() (sage.misc.sage_input.SageInputBuilder method) ParentLibGAP (class in sage.groups.libgap_wrapper) ParentNewtonPolygon (class in sage.geometry.newton_polygon) ParentWithBase (class in sage.structure.parent_base) ParentWithGens (class in sage.structure.parent_gens) ParentWithSetFactory (class in sage.structure.set_factories) paretovariate() (in module sage.misc.prandom) Pari (class in sage.rings.pari_ring) pari_absolute_base_polynomial() (sage.rings.number_field.number_field_rel.NumberField_relative method) pari_bnf() (sage.rings.number_field.number_field.NumberField_generic method) pari_curve() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) pari_divisors_small() (in module sage.libs.pari.convert_sage) pari_eval() (sage.modular.multiple_zeta.MultizetaValues method) pari_field() (sage.rings.qqbar.AlgebraicGenerator method) pari_hnf() (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) pari_is_prime() (in module sage.libs.pari.convert_sage) pari_is_prime_power() (in module sage.libs.pari.convert_sage) pari_label() (sage.rings.number_field.galois_group.GaloisGroup_v2 method) pari_maxprime() (in module sage.libs.pari.convert_sage) pari_mincurve() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) pari_nf() (sage.rings.number_field.number_field.NumberField_generic method) pari_polynomial() (sage.rings.number_field.number_field.NumberField_generic method) pari_prime() (sage.rings.number_field.number_field_ideal.NumberFieldIdeal method) pari_prime_range() (in module sage.libs.pari.convert_sage) pari_relative_polynomial() (sage.rings.number_field.number_field_rel.NumberField_relative method) pari_rhnf() (sage.rings.number_field.number_field_ideal_rel.NumberFieldFractionalIdeal_rel method) pari_rnf() (sage.rings.number_field.number_field_rel.NumberField_relative method) pari_rnfnorm_data() (sage.rings.number_field.number_field.NumberField_generic method) pari_zk() (sage.rings.number_field.number_field.NumberField_generic method) PariGroup (class in sage.groups.pari_group) PariRing (class in sage.rings.pari_ring) parity() (in module sage.matrix.matrix_mod2_dense) (sage.quadratic_forms.quadratic_form.QuadraticForm method) parity_check_matrix() (sage.coding.cyclic_code.CyclicCode method) (sage.coding.extended_code.ExtendedCode method) (sage.coding.golay_code.GolayCode method) (sage.coding.goppa_code.GoppaCode method) (sage.coding.grs_code.GeneralizedReedSolomonCode method) (sage.coding.hamming_code.HammingCode method) (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) (sage.coding.subfield_subcode.SubfieldSubcode method) parity_column_multipliers() (sage.coding.grs_code.GeneralizedReedSolomonCode method) ParityCheckCode (class in sage.coding.parity_check_code) ParityCheckCodeGeneratorMatrixEncoder (class in sage.coding.parity_check_code) ParityCheckCodeStraightforwardEncoder (class in sage.coding.parity_check_code) parking_functions() (sage.combinat.dyck_word.DyckWord_complete method) parking_permutation() (sage.combinat.parking_functions.ParkingFunction method) ParkingFunction (class in sage.combinat.parking_functions) ParkingFunctions (class in sage.combinat.parking_functions) ParkingFunctions_all (class in sage.combinat.parking_functions) ParkingFunctions_n (class in sage.combinat.parking_functions) parse() (in module sage.logic.logicparser) (sage.combinat.designs.ext_rep.XTreeProcessor method) (sage.doctest.parsing.SageDocTestParser method) (sage.groups.perm_gps.cubegroup.CubeGroup method) (sage.misc.parser.Parser method) parse_color() (in module sage.plot.plot3d.texture) parse_cremona_label() (in module sage.databases.cremona) parse_direct_arguments() (sage.combinat.regular_sequence.RecurrenceParser method) parse_docstring() (sage.doctest.sources.RestSource method) (sage.doctest.sources.SourceLanguage method) parse_ellipsis() (in module sage.repl.preparse) parse_expression() (sage.misc.parser.Parser method) parse_file_optional_tags() (in module sage.doctest.parsing) parse_indices_names() (in module sage.structure.indexed_generators) parse_keywords() (sage.typeset.character_art_factory.CharacterArtFactory method) parse_label() (in module sage.modular.modform.constructor) parse_lmfdb_label() (in module sage.databases.cremona) parse_ltor() (in module sage.logic.logicparser) parse_max_string() (in module sage.interfaces.maxima_lib) parse_moutput_from_json() (in module sage.interfaces.mathematica) parse_name() (sage_docbuild.ext.sage_autodoc.Documenter method) (sage_docbuild.ext.sage_autodoc.ModuleDocumenter method) parse_optional_tags() (in module sage.doctest.parsing) parse_point_list() (in module sage.libs.eclib.mwrank) parse_recurrence() (sage.combinat.regular_sequence.RecurrenceParser method) parse_sequence() (sage.misc.parser.Parser method) parse_tolerance() (in module sage.doctest.parsing) Parser (class in sage.game_theory.parser) (class in sage.misc.parser) part() (sage.categories.triangular_kac_moody_algebras.TriangularKacMoodyAlgebras.ElementMethods method) (sage.geometry.lattice_polytope.NefPartition method) (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) part_of() (sage.geometry.lattice_polytope.NefPartition method) part_of_degree() (sage.schemes.toric.variety.CohomologyClass method) part_of_point() (sage.geometry.lattice_polytope.NefPartition method) part_part_skewschur_symmetrica() (in module sage.libs.symmetrica.symmetrica) part_scalar_jack() (in module sage.combinat.sf.jack) partial_fraction() (sage.symbolic.expression.Expression method) partial_fraction_decomposition() (sage.categories.quotient_fields.QuotientFields.ElementMethods method) (sage.interfaces.maxima_abstract.MaximaAbstractElement method) (sage.symbolic.expression.Expression method) partial_product() (sage.arith.multi_modular.MultiModularBasis_base method) partial_sieve_function() (in module sage.functions.prime_pi) partial_sums() (sage.combinat.composition.Composition method) (sage.combinat.regular_sequence.RegularSequence method) (sage.combinat.words.abstract_word.Word_class method) PartialConversionElement (class in sage.rings.asymptotic.growth_group) PartialConversionValueError PartiallyOrderedMonoids (class in sage.categories.partially_ordered_monoids) PartiallyOrderedMonoids.ElementMethods (class in sage.categories.partially_ordered_monoids) PartiallyOrderedMonoids.ParentMethods (class in sage.categories.partially_ordered_monoids) Partition (class in sage.combinat.partition) partition() (in module sage.rings.polynomial.omega) (sage.combinat.similarity_class_type.PrimarySimilarityClassType method) (sage.combinat.words.word_datatypes.WordDatatype_str method) (sage.groups.perm_gps.symgp_conjugacy_class.SymmetricGroupConjugacyClassMixin method) (sage.matroids.matroid.Matroid method) (sage.plot.plot3d.index_face_set.IndexFaceSet method) partition_algebra() (sage.combinat.diagram_algebras.PottsRepresentation method), [1] partition_at_vertex() (sage.combinat.vector_partition.VectorPartition method) partition_diagrams() (in module sage.combinat.diagram_algebras), [1] partition_function() (sage.combinat.six_vertex_model.SixVertexModel method) partition_of_domain_alphabet() (sage.combinat.words.morphism.WordMorphism method) partition_rigging_lists() (sage.combinat.rigged_configurations.rigged_configuration_element.RiggedConfigurationElement method) partition_sandpile() (in module sage.sandpiles.sandpile) partition_to_vector_of_contents() (in module sage.combinat.symmetric_group_representations) PartitionAlgebra (class in sage.combinat.diagram_algebras), [1] PartitionAlgebra.Element (class in sage.combinat.diagram_algebras), [1] PartitionAlgebra_ak (class in sage.combinat.partition_algebra), [1] PartitionAlgebra_bk (class in sage.combinat.partition_algebra), [1] PartitionAlgebra_generic (class in sage.combinat.partition_algebra), [1] PartitionAlgebra_pk (class in sage.combinat.partition_algebra), [1] PartitionAlgebra_prk (class in sage.combinat.partition_algebra), [1] PartitionAlgebra_rk (class in sage.combinat.partition_algebra), [1] PartitionAlgebra_sk (class in sage.combinat.partition_algebra), [1] PartitionAlgebra_tk (class in sage.combinat.partition_algebra), [1] PartitionAlgebraElement_ak (class in sage.combinat.partition_algebra), [1] PartitionAlgebraElement_bk (class in sage.combinat.partition_algebra), [1] PartitionAlgebraElement_generic (class in sage.combinat.partition_algebra), [1] PartitionAlgebraElement_pk (class in sage.combinat.partition_algebra), [1] PartitionAlgebraElement_prk (class in sage.combinat.partition_algebra), [1] PartitionAlgebraElement_rk (class in sage.combinat.partition_algebra), [1] PartitionAlgebraElement_sk (class in sage.combinat.partition_algebra), [1] PartitionAlgebraElement_tk (class in sage.combinat.partition_algebra), [1] PartitionDiagram (class in sage.combinat.diagram_algebras), [1] PartitionDiagrams (class in sage.combinat.diagram_algebras), [1] PartitionRefinementLinearCode (class in sage.coding.codecan.codecan) Partitions (class in sage.combinat.partition) Partitions_all (class in sage.combinat.partition) Partitions_all_bounded (class in sage.combinat.partition) Partitions_constraints (class in sage.combinat.partition) Partitions_ending (class in sage.combinat.partition) partitions_in_box() (in module sage.combinat.crystals.kirillov_reshetikhin) Partitions_n (class in sage.combinat.partition) Partitions_nk (class in sage.combinat.partition) Partitions_parts_in (class in sage.combinat.partition) Partitions_starting (class in sage.combinat.partition) Partitions_with_constraints (class in sage.combinat.partition) PartitionsGreatestEQ (class in sage.combinat.partition) PartitionsGreatestLE (class in sage.combinat.partition) PartitionsInBox (class in sage.combinat.partition) PartitionSpecies (class in sage.combinat.species.partition_species) PartitionSpecies_class (in module sage.combinat.species.partition_species) PartitionSpeciesStructure (class in sage.combinat.species.partition_species) PartitionStack (class in sage.coding.binary_code) PartitionTuple (class in sage.combinat.partition_tuple) PartitionTuples (class in sage.combinat.partition_tuple) PartitionTuples_all (class in sage.combinat.partition_tuple) PartitionTuples_level (class in sage.combinat.partition_tuple) PartitionTuples_level_size (class in sage.combinat.partition_tuple) PartitionTuples_size (class in sage.combinat.partition_tuple) partner() (sage.combinat.perfect_matching.PerfectMatching method) parts() (sage.geometry.lattice_polytope.NefPartition method) (sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_quadratic method) (sage.rings.polynomial.multi_polynomial_sequence.PolynomialSequence_generic method) PasechnikGraph() (in module sage.graphs.generators.families) (sage.graphs.graph_generators.GraphGenerators static method) passport() (sage.combinat.constellation.Constellation_class method) pat_sync (sage.interfaces.singular.SingularGBLogPrettyPrinter attribute) Patch (class in sage.combinat.e_one_star) PATH, [1] path() (sage.combinat.crystals.alcove_path.CrystalOfAlcovePathsElement method) (sage.combinat.nu_dyck_word.NuDyckWord method) Path() (sage.graphs.digraph_generators.DiGraphGenerators method) path() (sage.interfaces.expect.Expect method) path_algebra_element_unpickle() (in module sage.quivers.algebra_elements) path_decomposition() (in module sage.graphs.graph_decompositions.vertex_separation) path_distance_metric() (sage.schemes.berkovich.berkovich_cp_element.Berkovich_Element_Cp method) path_from_initial_seed() (sage.algebras.cluster_algebra.ClusterAlgebraSeed method) path_semigroup() (sage.graphs.digraph.DiGraph method) path_track() (sage.interfaces.phc.PHC method) path_weakly_above_other() (in module sage.combinat.nu_dyck_word) PathAlgebra (class in sage.quivers.algebra) PathAlgebraElement (class in sage.quivers.algebra_elements) PathGraph() (in module sage.graphs.generators.basic) (sage.graphs.graph_generators.GraphGenerators static method) paths() (sage.combinat.abstract_tree.AbstractTree method) (sage.combinat.graph_path.GraphPaths_common method) paths_at_depth() (sage.combinat.abstract_tree.AbstractTree method) paths_from_source_to_target() (sage.combinat.graph_path.GraphPaths_common method) paths_in_triangle() (in module sage.combinat.tamari_lattices) paths_to_the_right() (sage.combinat.abstract_tree.AbstractTree method) PathSemigroup (class in sage.quivers.path_semigroup) PathSubset() (in module sage.combinat.cluster_algebra_quiver.cluster_seed) PathTableau (class in sage.combinat.path_tableaux.path_tableau) PathTableaux (class in sage.combinat.path_tableaux.path_tableau) pathwidth() (in module sage.graphs.graph_decompositions.vertex_separation) (sage.graphs.graph.Graph method) pattern_positions() (sage.combinat.permutation.Permutation method) PatternAvoider (class in sage.combinat.permutation) patterns() (sage.combinat.permutation.StandardPermutations_all_avoiding method) (sage.combinat.permutation.StandardPermutations_avoiding_generic method) payoff_matrices() (sage.game_theory.normal_form_game.NormalFormGame method) PBD_4_5_8_9_12() (in module sage.combinat.designs.bibd) PBD_4_7() (in module sage.combinat.designs.resolvable_bibd) PBD_4_7_from_Y() (in module sage.combinat.designs.resolvable_bibd) PBD_from_TD() (in module sage.combinat.designs.bibd) pbw_basis() (sage.algebras.free_algebra.FreeAlgebra_generic method) (sage.algebras.lie_algebras.free_lie_algebra.FreeLieAlgebra.Lyndon method) (sage.algebras.lie_algebras.verma_module.VermaModule method) (sage.categories.lie_algebras_with_basis.LieAlgebrasWithBasis.ParentMethods method) pbw_element() (sage.algebras.free_algebra.FreeAlgebra_generic method) PBWBasisOfFreeAlgebra (class in sage.algebras.free_algebra) PBWBasisOfFreeAlgebra.Element (class in sage.algebras.free_algebra) PBWCrystal (class in sage.combinat.crystals.pbw_crystal) PBWCrystalElement (class in sage.combinat.crystals.pbw_crystal) PBWData (class in sage.combinat.crystals.pbw_datum) PBWDatum (class in sage.combinat.crystals.pbw_datum) PD (sage.geometry.hyperbolic_space.hyperbolic_interface.HyperbolicPlane attribute) pd_code() (sage.knots.link.Link method) pd_notation (sage.databases.knotinfo_db.dc attribute) pd_notation() (sage.knots.knotinfo.KnotInfoBase method) pd_notation_vector (sage.databases.knotinfo_db.dc attribute) pdf() (sage.misc.latex_standalone.Standalone method) (sage_docbuild.builders.DocBuilder method) (sage_docbuild.builders.WebsiteBuilder method) pdf2svg (class in sage.features.pdf2svg) pdf_viewer() (in module sage.misc.viewer) (sage.misc.viewer.Viewer method) pdflatex (class in sage.features.latex) peaks() (sage.combinat.composition.Composition method) (sage.combinat.dyck_word.DyckWord method) (sage.combinat.permutation.Permutation method) pealing() (in module sage.combinat.dyck_word) peek() (sage.misc.parser.Tokenizer method) (sage.repl.preparse.QuoteStack method) peelable_tableaux() (sage.combinat.diagram.NorthwestDiagram method) peirce_decomposition() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method) peirce_summand() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method) PentagonPoset() (sage.combinat.posets.poset_examples.Posets static method) pentakis_dodecahedron() (sage.geometry.polyhedron.library.Polytopes method) perfect_matchings() (sage.graphs.bipartite_graph.BipartiteGraph method) (sage.graphs.graph.Graph method) perfect_matchings_iterator() (in module sage.combinat.combinat_cython) perfect_power() (sage.rings.integer.Integer method) PerfectMatching (class in sage.combinat.perfect_matching) PerfectMatchings (class in sage.combinat.perfect_matching) period() (sage.combinat.binary_recurrence_sequences.BinaryRecurrenceSequence method) (sage.crypto.cryptosystem.Cryptosystem method) (sage.graphs.digraph.DiGraph method) (sage.modular.modform.element.ModularForm_abstract method) (sage.rings.continued_fraction.ContinuedFraction_periodic method) (sage.rings.rational.Rational method) period_lattice() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) period_length() (sage.rings.continued_fraction.ContinuedFraction_periodic method) period_matrix() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method) (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurfaceSum method) periodic_point() (sage.combinat.words.morphism.WordMorphism method) periodic_points() (sage.combinat.words.morphism.WordMorphism method) (sage.dynamics.arithmetic_dynamics.projective_ds.DynamicalSystem_projective method) PeriodicPointIterator (class in sage.combinat.words.morphism) PeriodicRegion (class in sage.schemes.elliptic_curves.period_lattice_region) PeriodicSolitonCellularAutomata (class in sage.dynamics.cellular_automata.solitons) PeriodLattice (class in sage.schemes.elliptic_curves.period_lattice) PeriodLattice_ell (class in sage.schemes.elliptic_curves.period_lattice) PeriodMapping (class in sage.modular.modsym.space) periods() (sage.combinat.words.finite_word.FiniteWord_class method) (sage.manifolds.chart.Chart method) periphery() (sage.graphs.digraph.DiGraph method) (sage.graphs.graph.Graph method) PerkelGraph() (in module sage.graphs.generators.smallgraphs) (sage.graphs.graph_generators.GraphGenerators static method) perm() (sage.combinat.diagram_algebras.BrauerDiagram method), [1] perm_conjugate() (in module sage.combinat.constellation) perm_group() (sage.modular.arithgroup.arithgroup_perm.ArithmeticSubgroup_Permutation_class method) perm_invert() (in module sage.combinat.constellation) perm_mh() (in module sage.combinat.sloane_functions) perm_sym_domain() (in module sage.combinat.constellation) permanent() (sage.matrix.matrix2.Matrix method) permanental_minor() (sage.matrix.matrix2.Matrix method) permanental_minor_polynomial() (in module sage.matrix.matrix_misc) permissable_values() (sage.combinat.matrices.latin.LatinSquare method) perms_are_connected() (in module sage.combinat.constellation) perms_canonical_labels() (in module sage.combinat.constellation) perms_canonical_labels_from() (in module sage.combinat.constellation) perms_sym_init() (in module sage.combinat.constellation) permutahedron() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method) (sage.geometry.polyhedron.library.Polytopes method) Permutation (class in sage.combinat.permutation) permutation() (sage.combinat.colored_permutations.ColoredPermutation method) (sage.groups.braid.Braid method) permutation10() (sage.crypto.block_cipher.sdes.SimplifiedDES method) permutation4() (sage.crypto.block_cipher.sdes.SimplifiedDES method) permutation8() (sage.crypto.block_cipher.sdes.SimplifiedDES method) permutation_action() (in module sage.coding.code_constructions) (sage.modular.arithgroup.arithgroup_perm.ArithmeticSubgroup_Permutation_class method) permutation_automorphism() (sage.algebras.askey_wilson.AskeyWilsonAlgebra method) permutation_automorphism_group() (sage.coding.linear_code.AbstractLinearCode method) permutation_group() (sage.combinat.integer_vectors_mod_permgroup.IntegerVectorsModPermutationGroup_All method) (sage.combinat.integer_vectors_mod_permgroup.IntegerVectorsModPermutationGroup_with_constraints method) (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method) (sage.groups.additive_abelian.additive_abelian_group.AdditiveAbelianGroup_fixed_gens method) (sage.groups.pari_group.PariGroup method) permutation_group_element() (sage.combinat.species.cycle_species.CycleSpeciesStructure method) (sage.combinat.species.permutation_species.PermutationSpeciesStructure method) permutation_iterator_transposition_list() (in module sage.combinat.permutation_cython) permutation_normal_form() (sage.matrix.matrix2.Matrix method) permutation_poset() (sage.combinat.permutation.Permutation method) permutation_sign() (in module sage.rings.asymptotic.asymptotics_multivariate_generating_functions) PermutationGraph() (in module sage.graphs.generators.intersection) (sage.graphs.graph_generators.GraphGenerators static method) PermutationGroup() (in module sage.groups.perm_gps.permgroup) PermutationGroup_action (class in sage.groups.perm_gps.permgroup) PermutationGroup_generic (class in sage.groups.perm_gps.permgroup) PermutationGroup_plg (class in sage.groups.perm_gps.permgroup_named) PermutationGroup_pug (class in sage.groups.perm_gps.permgroup_named) PermutationGroup_subgroup (class in sage.groups.perm_gps.permgroup) PermutationGroup_symalt (class in sage.groups.perm_gps.permgroup_named) PermutationGroup_unique (class in sage.groups.perm_gps.permgroup_named) PermutationGroupElement (class in sage.groups.perm_gps.permgroup_element) PermutationGroupElement() (in module sage.groups.perm_gps.constructor) PermutationGroupFunctor (class in sage.categories.pushout), [1] PermutationGroupMorphism (class in sage.groups.perm_gps.permgroup_morphism) PermutationGroupMorphism_from_gap (class in sage.groups.perm_gps.permgroup_morphism) PermutationGroupMorphism_id (class in sage.groups.perm_gps.permgroup_morphism) PermutationGroupMorphism_im_gens (class in sage.groups.perm_gps.permgroup_morphism) PermutationGroups (class in sage.categories.permutation_groups) PermutationPattern() (sage.combinat.posets.poset_examples.Posets static method) PermutationPatternInterval() (sage.combinat.posets.poset_examples.Posets static method) PermutationPatternOccurrenceInterval() (sage.combinat.posets.poset_examples.Posets static method) Permutations (class in sage.combinat.permutation) permutations (sage.sat.converters.polybori.CNFEncoder attribute) permutations() (sage.geometry.pseudolines.PseudolineArrangement method) Permutations_mset (class in sage.combinat.permutation) Permutations_mset.Element (class in sage.combinat.permutation) Permutations_msetk (class in sage.combinat.permutation) Permutations_nk (class in sage.combinat.permutation) Permutations_nk.Element (class in sage.combinat.permutation) Permutations_set (class in sage.combinat.permutation) Permutations_set.Element (class in sage.combinat.permutation) Permutations_setk (class in sage.combinat.permutation) permutations_to_matrices() (sage.geometry.polyhedron.base.Polyhedron_base method) PermutationsConjugacyClass (class in sage.groups.perm_gps.symgp_conjugacy_class) PermutationsNK (class in sage.combinat.permutation) PermutationSpecies (class in sage.combinat.species.permutation_species) PermutationSpecies_class (in module sage.combinat.species.permutation_species) PermutationSpeciesStructure (class in sage.combinat.species.permutation_species) permute_columns() (sage.matrix.matrix0.Matrix method) permute_decomposition() (in module sage.graphs.graph_decompositions.modular_decomposition) permute_indices() (sage.tensor.modules.tensor_with_indices.TensorWithIndices method) permute_rows() (sage.matrix.matrix0.Matrix method) permute_rows_and_columns() (sage.matrix.matrix0.Matrix method) permute_substitute() (sage.crypto.block_cipher.sdes.SimplifiedDES method) permuted_code() (sage.coding.linear_code_no_metric.AbstractLinearCodeNoMetric method) permuted_filling() (sage.combinat.sf.ns_macdonald.AugmentedLatticeDiagramFilling method) permutohedron_greater() (sage.combinat.permutation.Permutation method) permutohedron_join() (sage.combinat.permutation.Permutation method) permutohedron_lequal() (in module sage.combinat.permutation) (sage.combinat.permutation.Permutation method) permutohedron_meet() (sage.combinat.permutation.Permutation method) permutohedron_pred() (sage.combinat.permutation.Permutation method) permutohedron_smaller() (sage.combinat.permutation.Permutation method) permutohedron_succ() (sage.combinat.permutation.Permutation method) perpendicular_bisector() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method) (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicUHP method) PERSID() (sage.misc.explain_pickle.PickleExplainer method) persistence_intervals() (sage.topology.filtered_simplicial_complex.FilteredSimplicialComplex method) petersen_family() (in module sage.graphs.generators.families) (sage.graphs.graph_generators.GraphGenerators static method) PetersenGraph() (in module sage.graphs.generators.smallgraphs) (sage.graphs.graph_generators.GraphGenerators static method) petersson_norm() (sage.modular.modform.element.ModularForm_abstract method) PF (in module sage.combinat.parking_functions) pfaffian() (sage.matrix.matrix2.Matrix method) PG() (in module sage.matroids.database_matroids) PG23() (in module sage.matroids.database_matroids) PGL (class in sage.groups.perm_gps.permgroup_named) PGU (class in sage.groups.perm_gps.permgroup_named) phase() (sage.interfaces.qepcad.Qepcad method) PHC (class in sage.interfaces.phc) PHC_Object (class in sage.interfaces.phc) Phi (sage.combinat.chas.wqsym.WordQuasiSymmetricFunctions attribute) phi (sage.sat.converters.polybori.CNFEncoder property) Phi() (sage.categories.crystals.Crystals.ElementMethods method) phi() (sage.categories.crystals.Crystals.ElementMethods method) (sage.categories.regular_crystals.RegularCrystals.ElementMethods method) (sage.categories.regular_supercrystals.RegularSuperCrystals.ElementMethods method) (sage.combinat.crystals.affine.AffineCrystalFromClassicalElement method) (sage.combinat.crystals.affinization.AffinizationOfCrystal.Element method) (sage.combinat.crystals.alcove_path.CrystalOfAlcovePathsElement method) (sage.combinat.crystals.alcove_path.InfinityCrystalOfAlcovePaths.Element method) (sage.combinat.crystals.direct_sum.DirectSumOfCrystals.Element method) (sage.combinat.crystals.elementary_crystals.ComponentCrystal.Element method) (sage.combinat.crystals.elementary_crystals.ElementaryCrystal.Element method) (sage.combinat.crystals.elementary_crystals.RCrystal.Element method) (sage.combinat.crystals.elementary_crystals.TCrystal.Element method) (sage.combinat.crystals.generalized_young_walls.CrystalOfGeneralizedYoungWallsElement method) Phi() (sage.combinat.crystals.generalized_young_walls.GeneralizedYoungWall method) phi() (sage.combinat.crystals.generalized_young_walls.GeneralizedYoungWall method) (sage.combinat.crystals.induced_structure.InducedCrystal.Element method) (sage.combinat.crystals.induced_structure.InducedFromCrystal.Element method) (sage.combinat.crystals.infinity_crystals.InfinityCrystalOfTableaux.Element method) (sage.combinat.crystals.kac_modules.CrystalOfOddNegativeRoots.Element method) (sage.combinat.crystals.kyoto_path_model.KyotoPathModel.Element method) (sage.combinat.crystals.letters.Crystal_of_letters_type_A_element method) (sage.combinat.crystals.letters.Crystal_of_letters_type_B_element method) (sage.combinat.crystals.letters.Crystal_of_letters_type_C_element method) (sage.combinat.crystals.letters.Crystal_of_letters_type_D_element method) (sage.combinat.crystals.letters.Crystal_of_letters_type_G_element method) (sage.combinat.crystals.letters.EmptyLetter method) (sage.combinat.crystals.letters.LetterTuple method) (sage.combinat.crystals.letters.LetterWrapped method) (sage.combinat.crystals.letters.QueerLetter_element method) (sage.combinat.crystals.littelmann_path.CrystalOfLSPaths.Element method) (sage.combinat.crystals.littelmann_path.InfinityCrystalOfLSPaths.Element method) (sage.combinat.crystals.monomial_crystals.NakajimaMonomial method) (sage.combinat.crystals.multisegments.InfinityCrystalOfMultisegments.Element method) (sage.combinat.crystals.pbw_crystal.PBWCrystalElement method) (sage.combinat.crystals.polyhedral_realization.InfinityCrystalAsPolyhedralRealization.Element method) (sage.combinat.crystals.spins.Spin_crystal_type_B_element method) (sage.combinat.crystals.spins.Spin_crystal_type_D_element method) (sage.combinat.crystals.star_crystal.StarCrystal.Element method) (sage.combinat.crystals.tensor_product_element.TensorProductOfCrystalsElement method) (sage.combinat.crystals.tensor_product_element.TensorProductOfQueerSuperCrystalsElement method) (sage.combinat.crystals.tensor_product_element.TensorProductOfRegularCrystalsElement method) (sage.combinat.crystals.tensor_product_element.TensorProductOfSuperCrystalsElement method) Phi() (sage.combinat.partition_kleshchev.KleshchevCrystalMixin method) phi() (sage.combinat.partition_kleshchev.KleshchevCrystalMixin method) (sage.combinat.rigged_configurations.kr_tableaux.KirillovReshetikhinTableauxElement method) (sage.combinat.rigged_configurations.kr_tableaux.KRTableauxSpinElement method) (sage.combinat.rigged_configurations.kr_tableaux.KRTableauxTypeFromRCElement method) (sage.combinat.rigged_configurations.rigged_configuration_element.KRRCTypeA2DualElement method) (sage.combinat.rigged_configurations.rigged_configuration_element.KRRiggedConfigurationElement method) (sage.combinat.rigged_configurations.rigged_configuration_element.RiggedConfigurationElement method) (sage.combinat.words.finite_word.FiniteWord_class method) (sage.crypto.mq.sr.SR_gf2 method) (sage.crypto.mq.sr.SR_gf2n method) (sage.dynamics.arithmetic_dynamics.wehlerK3.WehlerK3Surface_ring method) (sage.modular.multiple_zeta.Multizetas method) (sage.modular.multiple_zeta.Multizetas.Element method) (sage.modular.multiple_zeta.Multizetas_iterated method) (sage.modular.multiple_zeta.Multizetas_iterated.Element method) (sage.rings.valuation.developing_valuation.DevelopingValuation method) phi0() (sage.combinat.crystals.affine.AffineCrystalFromClassicalAndPromotionElement method) (sage.combinat.crystals.affine.AffineCrystalFromClassicalElement method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_A2Element method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_BnElement method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_boxElement method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_CElement method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_CnElement method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_D_tri1.Element method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_Dn_twistedElement method) Phi2_quad() (in module sage.modular.ssmod.ssmod) phi_as_vector() (sage.modular.multiple_zeta.Multizetas.Element method) phi_extended() (sage.modular.multiple_zeta.Multizetas_iterated method) phi_inv() (sage.combinat.words.finite_word.FiniteWord_class method) Phi_invariant() (sage.rings.invariants.invariant_theory.TwoQuaternaryQuadratics method) phi_minus_epsilon() (sage.categories.crystals.Crystals.ElementMethods method) phi_on_basis() (in module sage.modular.multiple_zeta) phi_on_multiplicative_basis() (in module sage.modular.multiple_zeta) Phi_polys() (in module sage.modular.ssmod.ssmod) Pi (class in sage.symbolic.constants) pi (in module sage.symbolic.constants) pi() (sage.algebras.askey_wilson.AskeyWilsonAlgebra method) (sage.combinat.key_polynomial.KeyPolynomial method) (sage.combinat.sloane_functions.A000796 method) (sage.combinat.subword_complex.SubwordComplex method) (sage.homology.chain_homotopy.ChainContraction method) (sage.rings.complex_arb.ComplexBallField method) (sage.rings.complex_double.ComplexDoubleField_class method) (sage.rings.complex_interval_field.ComplexIntervalField_class method) (sage.rings.complex_mpfr.ComplexField_class method) (sage.rings.real_arb.RealBallField method) (sage.rings.real_double.RealDoubleField_class method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfr.RealField_class method) (sage.symbolic.ring.SymbolicRing method) pi_ik() (in module sage.combinat.symmetric_group_algebra) picard_representatives() (sage.sandpiles.sandpile.Sandpile method) pick_a_basis() (sage.tensor.modules.free_module_tensor.FreeModuleTensor method) pickle() (sage_docbuild.builders.DocBuilder method) pickle_function() (in module sage.misc.fpickle) pickle_wrapper() (in module sage.symbolic.function) PickleDict (class in sage.misc.explain_pickle) PickleExplainer (class in sage.misc.explain_pickle) PickleInstance (class in sage.misc.explain_pickle) picklejar() (in module sage.misc.persist) pickleMethod() (in module sage.misc.fpickle) pickleModule() (in module sage.misc.fpickle) PickleObject (class in sage.misc.explain_pickle) PicoSAT (class in sage.sat.solvers.picosat) picture_set() (in module sage.games.hexad) pid() (sage.interfaces.expect.Expect method) pieces() (sage.combinat.tiling.TilingSolver method) (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method) piecewise_add() (sage.functions.piecewise.PiecewiseFunction.EvaluationMethods method) PiecewiseFunction (class in sage.functions.piecewise) PiecewiseFunction.EvaluationMethods (class in sage.functions.piecewise) pieri_factors() (sage.categories.weyl_groups.WeylGroups.ParentMethods method) pieri_macdonald_coeffs() (sage.combinat.skew_partition.SkewPartition method) PieriFactors (class in sage.combinat.root_system.pieri_factors) (sage.combinat.root_system.type_A.CartanType attribute) (sage.combinat.root_system.type_A_affine.CartanType attribute) (sage.combinat.root_system.type_B.CartanType attribute) (sage.combinat.root_system.type_B_affine.CartanType attribute) (sage.combinat.root_system.type_C_affine.CartanType attribute) (sage.combinat.root_system.type_D_affine.CartanType attribute) PieriFactors_affine_type (class in sage.combinat.root_system.pieri_factors) PieriFactors_finite_type (class in sage.combinat.root_system.pieri_factors) PieriFactors_type_A (class in sage.combinat.root_system.pieri_factors) PieriFactors_type_A_affine (class in sage.combinat.root_system.pieri_factors) PieriFactors_type_B (class in sage.combinat.root_system.pieri_factors) PieriFactors_type_B_affine (class in sage.combinat.root_system.pieri_factors) PieriFactors_type_C_affine (class in sage.combinat.root_system.pieri_factors) PieriFactors_type_D_affine (class in sage.combinat.root_system.pieri_factors) Pigs() (in module sage.game_theory.catalog_normal_form_games) pil (sage.repl.image.Image property) pip_installed_packages() (in module sage.misc.package) pip_remote_version() (in module sage.misc.package) pipe() (sage.combinat.set_partition.SetPartition method) PipPackageSystem (class in sage.features.pkg_systems) pisot_eigenvector_left() (sage.combinat.words.morphism.WordMorphism method) pisot_eigenvector_right() (sage.combinat.words.morphism.WordMorphism method) pivot_rows() (sage.matrix.matrix2.Matrix method) PivotedInequalities (class in sage.geometry.polyhedron.double_description_inhomogeneous) pivots() (sage.matrix.matrix0.Matrix method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_mpolynomial_dense.Matrix_mpolynomial_dense method) pivots_of_hnf_matrix() (in module sage.matrix.matrix_integer_dense_hnf) pixels() (sage.repl.image.Image method) PK10() (in module sage.matroids.database_matroids) pkgname_split() (in module sage.misc.package) place() (sage.rings.function_field.ideal.FunctionFieldIdeal method) (sage.rings.function_field.valuation_ring.FunctionFieldValuationRing method) (sage.schemes.curves.closed_point.IntegralCurveClosedPoint method) (sage.schemes.curves.point.IntegralAffineCurvePoint method) (sage.schemes.curves.point.IntegralProjectiveCurvePoint method) place_below() (sage.rings.function_field.place_polymod.FunctionFieldPlace_polymod method) place_infinite() (sage.rings.function_field.function_field_rational.RationalFunctionField_global method) place_set() (sage.rings.function_field.function_field.FunctionField method) place_to_closed_point() (sage.schemes.curves.affine_curve.IntegralAffineCurve method) (sage.schemes.curves.projective_curve.IntegralProjectiveCurve method) places() (sage.rings.function_field.function_field_polymod.FunctionField_global method) (sage.rings.function_field.function_field_rational.RationalFunctionField_global method) (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) (sage.schemes.curves.affine_curve.IntegralAffineCurve_finite_field method) (sage.schemes.curves.closed_point.IntegralCurveClosedPoint method) (sage.schemes.curves.point.IntegralAffineCurvePoint method) (sage.schemes.curves.point.IntegralProjectiveCurvePoint method) (sage.schemes.curves.projective_curve.IntegralProjectiveCurve_finite_field method) places_above() (sage.rings.function_field.function_field_polymod.FunctionField_simple method) places_at_branch_locus() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method) places_at_infinity() (sage.schemes.curves.affine_curve.IntegralAffineCurve method) places_finite() (sage.rings.function_field.function_field_polymod.FunctionField_global method) (sage.rings.function_field.function_field_rational.RationalFunctionField_global method) places_infinite() (sage.rings.function_field.function_field_polymod.FunctionField_simple method) places_on() (sage.schemes.curves.affine_curve.IntegralAffineCurve method) (sage.schemes.curves.projective_curve.IntegralProjectiveCurve method) PlaceSet (class in sage.rings.function_field.place) placing_triangulation() (sage.geometry.triangulation.point_configuration.PointConfiguration method) plain_text_formatter() (sage.repl.rich_output.backend_base.BackendBase method) PlainPythonRepr (class in sage.repl.display.fancy_repr) plaintext_space() (sage.crypto.cryptosystem.Cryptosystem method) planar_diagrams() (in module sage.combinat.diagram_algebras), [1] planar_dual() (sage.graphs.generic_graph.GenericGraph method) planar_graphs() (sage.graphs.graph_generators.GraphGenerators method) planar_partitions_rec() (in module sage.combinat.diagram_algebras), [1] PlanarAlgebra (class in sage.combinat.diagram_algebras), [1] PlanarDiagram (class in sage.combinat.diagram_algebras), [1] PlanarDiagrams (class in sage.combinat.diagram_algebras), [1] plancherel_measure() (sage.combinat.partition.Partition method) Plane (class in sage.categories.examples.manifolds) (class in sage.plot.plot3d.tachyon) plane() (sage.plot.plot3d.tachyon.Tachyon method) plane_inequality() (in module sage.modules.diamond_cutting) plane_projection() (sage.schemes.curves.affine_curve.AffineCurve_field method) (sage.schemes.curves.projective_curve.ProjectiveCurve method) PlaneCurveArrangementElement (class in sage.schemes.curves.plane_curve_arrangement) PlaneCurveArrangements (class in sage.schemes.curves.plane_curve_arrangement) PlanePartition (class in sage.combinat.plane_partition) PlanePartitions (class in sage.combinat.plane_partition) PlanePartitions_all (class in sage.combinat.plane_partition) PlanePartitions_box (class in sage.combinat.plane_partition) PlanePartitions_CSPP (class in sage.combinat.plane_partition) PlanePartitions_CSSCPP (class in sage.combinat.plane_partition) PlanePartitions_CSTCPP (class in sage.combinat.plane_partition) PlanePartitions_n (class in sage.combinat.plane_partition) PlanePartitions_SCPP (class in sage.combinat.plane_partition) PlanePartitions_SPP (class in sage.combinat.plane_partition) PlanePartitions_SSCPP (class in sage.combinat.plane_partition) PlanePartitions_TCPP (class in sage.combinat.plane_partition) PlanePartitions_TSPP (class in sage.combinat.plane_partition) PlanePartitions_TSSCPP (class in sage.combinat.plane_partition) Plantri (class in sage.features.graph_generators) plantri_gen() (sage.graphs.graph_generators.GraphGenerators method) platonic_solids (sage.graphs.graph_generators.GraphGenerators attribute) Player (class in sage.game_theory.matching_game) ple() (in module sage.matrix.matrix_mod2_dense) plethysm() (sage.combinat.sf.sfa.SymmetricFunctionAlgebra_generic_Element method) (sage.rings.lazy_series.LazySymmetricFunction method) plethysm_symmetrica() (in module sage.libs.symmetrica.symmetrica) plethystic_inverse() (sage.rings.lazy_series.LazySymmetricFunction method) plot() (in module sage.geometry.hyperplane_arrangement.plot) (in module sage.plot.plot) (sage.arith.misc.Euler_Phi method) (sage.arith.misc.Moebius method) (sage.arith.misc.Sigma method) (sage.calculus.transforms.dft.IndexedSequence method) (sage.calculus.transforms.dwt.DiscreteWaveletTransform method) (sage.calculus.transforms.fft.FastFourierTransform_complex method) (sage.categories.crystals.Crystals.ParentMethods method) (sage.combinat.cluster_algebra_quiver.cluster_seed.ClusterSeed method) (sage.combinat.cluster_algebra_quiver.quiver.ClusterQuiver method) (sage.combinat.cluster_algebra_quiver.quiver_mutation_type.QuiverMutationType_abstract method) (sage.combinat.crystals.alcove_path.CrystalOfAlcovePathsElement method) (sage.combinat.crystals.mv_polytopes.MVPolytope method) (sage.combinat.dyck_word.DyckWord method) (sage.combinat.e_one_star.Patch method) (sage.combinat.finite_state_machine.FiniteStateMachine method) (sage.combinat.fully_packed_loop.FullyPackedLoop method) (sage.combinat.interval_posets.TamariIntervalPoset method) (sage.combinat.knutson_tao_puzzles.KnutsonTaoPuzzleSolver method) (sage.combinat.knutson_tao_puzzles.PuzzleFilling method) (sage.combinat.nu_dyck_word.NuDyckWord method) (sage.combinat.ordered_tree.OrderedTree method) (sage.combinat.parallelogram_polyomino.ParallelogramPolyomino method) (sage.combinat.path_tableaux.frieze.FriezePattern method) (sage.combinat.plane_partition.PlanePartition method) (sage.combinat.posets.posets.FinitePoset method) (sage.combinat.rigged_configurations.kleber_tree.KleberTree method) (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) (sage.combinat.set_partition.SetPartition method) (sage.combinat.sine_gordon.SineGordonYsystem method) (sage.combinat.six_vertex_model.SixVertexConfiguration method) (sage.combinat.subword_complex.SubwordComplexFacet method) (sage.combinat.tableau.Tableau method) (sage.combinat.words.paths.FiniteWordPath_2d method) (sage.combinat.words.paths.FiniteWordPath_3d method) (sage.combinat.words.suffix_trees.ImplicitSuffixTree method) (sage.combinat.words.suffix_trees.SuffixTrie method) (sage.combinat.yang_baxter_graph.YangBaxterGraph_generic method) (sage.dynamics.cellular_automata.elementary.ElementaryCellularAutomata method) (sage.dynamics.cellular_automata.glca.GraftalLaceCellularAutomata method) (sage.functions.prime_pi.PrimePi method) (sage.functions.spike_function.SpikeFunction method) (sage.game_theory.matching_game.MatchingGame method) (sage.geometry.cone.ConvexRationalPolyhedralCone method) (sage.geometry.cone.IntegralRayCollection method) (sage.geometry.fan.RationalPolyhedralFan method) (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicHM method) (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicKM method) (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicPD method) (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicUHP method) (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method) (sage.geometry.hyperplane_arrangement.hyperplane.Hyperplane method) (sage.geometry.newton_polygon.NewtonPolygon_element method) (sage.geometry.polyhedral_complex.PolyhedralComplex method) (sage.geometry.polyhedron.base6.Polyhedron_base6 method) (sage.geometry.polyhedron.ppl_lattice_polygon.LatticePolygon_PPL_class method) (sage.geometry.riemannian_manifolds.parametrized_surface3d.ParametrizedSurface3D method) (sage.geometry.toric_lattice.ToricLattice_ambient method) (sage.geometry.toric_lattice.ToricLattice_sublattice_with_basis method) (sage.geometry.triangulation.element.Triangulation method) (sage.geometry.triangulation.point_configuration.PointConfiguration method) (sage.geometry.voronoi_diagram.VoronoiDiagram method) (sage.graphs.bipartite_graph.BipartiteGraph method) (sage.graphs.generic_graph.GenericGraph method) (sage.graphs.graph_plot.GraphPlot method), [1] (sage.groups.braid.Braid method) (sage.groups.perm_gps.cubegroup.RubiksCube method) (sage.interfaces.gnuplot.Gnuplot method) (sage.interfaces.r.R method) (sage.knots.link.Link method) (sage.manifolds.chart.RealChart method) (sage.manifolds.differentiable.curve.DifferentiableCurve method) (sage.manifolds.differentiable.tangent_vector.TangentVector method) (sage.manifolds.differentiable.vectorfield.VectorField method) (sage.manifolds.point.ManifoldPoint method) (sage.manifolds.topological_submanifold.TopologicalSubmanifold method) (sage.matrix.matrix2.Matrix method) (sage.matroids.matroid.Matroid method) (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) (sage.modules.free_module_element.FreeModuleElement method) (sage.numerical.interactive_simplex_method.InteractiveLPProblem method) (sage.plot.graphics.Graphics method) (sage.plot.multigraphics.MultiGraphics method) (sage.plot.plot3d.base.Graphics3d method) (sage.plot.plot3d.base.Graphics3dGroup method) (sage.plot.plot3d.parametric_surface.ParametricSurface method) (sage.plot.plot3d.tachyon.Tachyon method) (sage.probability.probability_distribution.RealDistribution method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.padics.padic_base_generic.pAdicBaseGeneric method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.schemes.curves.affine_curve.AffinePlaneCurve method) (sage.schemes.curves.projective_curve.ProjectivePlaneCurve method) (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method) (sage.schemes.elliptic_curves.heegner.HeegnerPointOnX0N method) (sage.schemes.elliptic_curves.heegner.HeegnerPoints_level_disc_cond method) (sage.schemes.elliptic_curves.heegner.KolyvaginPoint method) (sage.schemes.elliptic_curves.period_lattice_region.PeriodicRegion method) (sage.schemes.toric.variety.ToricVariety_field method) (sage.stats.hmm.distributions.Distribution method) (sage.stats.intlist.IntList method) (sage.symbolic.expression.Expression method) plot2d() (sage.interfaces.maxima_abstract.MaximaAbstract method) plot2d_parametric() (sage.interfaces.maxima_abstract.MaximaAbstract method) plot3d() (in module sage.plot.plot3d.plot3d) (sage.categories.crystals.Crystals.ParentMethods method) (sage.combinat.e_one_star.Patch method) (sage.combinat.plane_partition.PlanePartition method) (sage.geometry.lattice_polytope.LatticePolytopeClass method) (sage.graphs.generic_graph.GenericGraph method) (sage.groups.braid.Braid method) (sage.groups.perm_gps.cubegroup.RubiksCube method) (sage.interfaces.gnuplot.Gnuplot method) (sage.interfaces.maxima_abstract.MaximaAbstract method) (sage.plot.arc.Arc method) (sage.plot.arrow.Arrow method) (sage.plot.bezier_path.BezierPath method) (sage.plot.circle.Circle method) (sage.plot.disk.Disk method) (sage.plot.ellipse.Ellipse method) (sage.plot.graphics.Graphics method) (sage.plot.line.Line method) (sage.plot.point.Point method) (sage.plot.polygon.Polygon method) (sage.plot.primitive.GraphicPrimitive method) (sage.plot.text.Text method) plot3d_adaptive() (in module sage.plot.plot3d.plot3d) plot3d_cube() (sage.groups.perm_gps.cubegroup.CubeGroup method) plot3d_cubie() (in module sage.groups.perm_gps.cubegroup) plot3d_parametric() (sage.interfaces.gnuplot.Gnuplot method) (sage.interfaces.maxima_abstract.MaximaAbstract method) plot_alcove_walk() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_alcoves() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_block() (sage.plot.plot3d.tri_plot.TrianglePlot method) plot_boundaries() (sage.calculus.riemann.Riemann_Map method) plot_bounding_box() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_colored() (sage.calculus.riemann.Riemann_Map method) plot_comparison() (sage.rings.asymptotic.asymptotic_ring.AsymptoticExpansion method) plot_coroots() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_crystal() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_cube() (sage.groups.perm_gps.cubegroup.CubeGroup method) plot_directive_vector() (sage.combinat.words.paths.FiniteWordPath_2d method) plot_feasible_set() (sage.numerical.interactive_simplex_method.InteractiveLPProblem method) plot_fft_abs() (sage.functions.spike_function.SpikeFunction method) plot_fft_arg() (sage.functions.spike_function.SpikeFunction method) plot_fundamental_chamber() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_fundamental_weights() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_fundom() (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) plot_generators() (sage.geometry.toric_plotter.ToricPlotter method) plot_heap() (sage.combinat.fully_commutative_elements.FullyCommutativeElement method) plot_hedron() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_histogram() (sage.calculus.transforms.dft.IndexedSequence method) (sage.stats.intlist.IntList method) plot_hyperplane() (in module sage.geometry.hyperplane_arrangement.plot) plot_integrated() (sage.manifolds.differentiable.integrated_curve.IntegratedCurve method) plot_labels() (sage.geometry.toric_plotter.ToricPlotter method) plot_lattice() (sage.geometry.toric_plotter.ToricPlotter method) plot_list() (sage.interfaces.maxima_abstract.MaximaAbstract method) plot_loglog() (in module sage.plot.plot) plot_ls_paths() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_multilist() (sage.interfaces.maxima_abstract.MaximaAbstract method) plot_mv_polytope() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_parse_options() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_paths() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method) plot_paths3d() (sage.schemes.riemann_surfaces.riemann_surface.RiemannSurface method) plot_paths_2d() (sage.interfaces.phc.PHC method) plot_points (sage.plot.plot3d.implicit_surface.ImplicitSurface attribute) plot_points() (sage.geometry.toric_plotter.ToricPlotter method) plot_projection() (sage.combinat.words.paths.FiniteWordPath_all method) plot_ray_labels() (sage.geometry.toric_plotter.ToricPlotter method) plot_rays() (sage.geometry.toric_plotter.ToricPlotter method) plot_reflection_hyperplanes() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_roots() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) plot_semilogx() (in module sage.plot.plot) plot_semilogy() (in module sage.plot.plot) plot_slope_field() (in module sage.plot.plot_field) plot_solution() (sage.calculus.ode.ode_solver method) plot_spiderweb() (sage.calculus.riemann.Riemann_Map method) plot_step() (sage.modules.free_module_element.FreeModuleElement method) plot_step_function() (in module sage.plot.step) plot_tikz() (sage.combinat.e_one_star.Patch method) plot_vector_field() (in module sage.plot.plot_field) plot_vector_field3d() (in module sage.plot.plot3d.plot_field3d) plot_walls() (sage.geometry.toric_plotter.ToricPlotter method) PlotBlock (class in sage.plot.plot3d.tri_plot) PlotField (class in sage.plot.plot_field) plotkin_bound_asymp() (in module sage.coding.code_bounds) plotkin_upper_bound() (in module sage.coding.code_bounds) PlotOptions (class in sage.combinat.root_system.plot) pluq() (in module sage.matrix.matrix_mod2_dense) plus_part() (sage.modular.pollack_stevens.modsym.PSModularSymbolElement method) plus_submodule() (sage.modular.modsym.space.ModularSymbolsSpace method) PlusInfinity (class in sage.rings.infinity) PlusMinusOneMatrix (class in sage.matroids.lean_matrix) ply_ascii_string() (sage.plot.plot3d.base.Graphics3d method) PMDiagram (class in sage.combinat.crystals.kirillov_reshetikhin) png() (in module sage.misc.latex) (sage.interfaces.r.R method) (sage.misc.latex_standalone.Standalone method) (sage.plot.animate.Animation method) png_viewer() (in module sage.misc.viewer) (sage.misc.viewer.Viewer method) poincare_birkhoff_witt_basis() (sage.algebras.free_algebra.FreeAlgebra_generic method) (sage.algebras.lie_algebras.free_lie_algebra.FreeLieAlgebra.Lyndon method) (sage.algebras.lie_algebras.verma_module.VermaModule method) (sage.categories.lie_algebras_with_basis.LieAlgebrasWithBasis.ParentMethods method) poincare_polynomial() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method) poincare_semistable() (sage.combinat.cluster_algebra_quiver.quiver.ClusterQuiver method) poincare_series() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method) PoincareBirkhoffWittBasis (class in sage.algebras.lie_algebras.poincare_birkhoff_witt) PoincareBirkhoffWittBasis.Element (class in sage.algebras.lie_algebras.poincare_birkhoff_witt) PoincareDisk (sage.geometry.hyperbolic_space.hyperbolic_interface.HyperbolicPlane attribute) PoincareHomologyThreeSphere() (in module sage.topology.simplicial_complex_examples) Point (class in sage.geometry.triangulation.base) (class in sage.plot.plot3d.shapes2) (class in sage.plot.point) point() (in module sage.plot.point) Point() (in module sage.topology.simplicial_set_examples) point() (sage.geometry.hyperplane_arrangement.affine_subspace.AffineSubspace method) (sage.geometry.hyperplane_arrangement.hyperplane.Hyperplane method) (sage.geometry.lattice_polytope.LatticePolytopeClass method) (sage.geometry.riemannian_manifolds.parametrized_surface3d.ParametrizedSurface3D method) (sage.geometry.triangulation.base.PointConfiguration_base method) (sage.manifolds.subset.ManifoldSubset method) (sage.rings.function_field.jacobian_hess.JacobianGroup method) (sage.rings.function_field.jacobian_khuri_makdisi.JacobianGroup method) (sage.schemes.generic.scheme.Scheme method) (sage.schemes.hyperelliptic_curves.jacobian_generic.HyperellipticJacobian_generic method) (sage.schemes.plane_conics.con_field.ProjectiveConic_field method) (sage.schemes.projective.projective_space.ProjectiveSpace_ring method) (sage.schemes.projective.projective_subscheme.AlgebraicScheme_subscheme_projective method) (sage.sets.real_set.RealSet static method) point2d() (in module sage.plot.point) point3d() (in module sage.plot.plot3d.shapes2) point_configuration() (sage.geometry.triangulation.base.Point method) (sage.geometry.triangulation.element.Triangulation method) point_exact() (sage.schemes.elliptic_curves.heegner.HeegnerPointOnEllipticCurve method) (sage.schemes.elliptic_curves.heegner.KolyvaginPoint method) point_homset() (sage.schemes.generic.scheme.Scheme method) point_in_model() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelHM method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelKM method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelPD method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelUHP method) point_list_bounding_box() (in module sage.plot.plot3d.base) point_of_jacobian_of_curve() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method) (sage.schemes.hyperelliptic_curves.jacobian_morphism.JacobianMorphism_divisor_class_field method) point_of_order() (in module sage.schemes.elliptic_curves.ell_field) point_on_affine() (sage.schemes.generic.point.SchemeTopologicalPoint_affine_open method) point_search() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) point_set() (sage.schemes.generic.scheme.Scheme method) point_test() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) point_transformation_matrix() (sage.schemes.projective.projective_space.ProjectiveSpace_ring method) PointCollection (class in sage.geometry.point_collection) PointConfiguration (class in sage.geometry.triangulation.point_configuration) PointConfiguration_base (class in sage.geometry.triangulation.base) Pointed() (sage.categories.simplicial_sets.SimplicialSets.SubcategoryMethods method) PointedSets (class in sage.categories.pointed_sets) pointing() (sage.combinat.species.generating_series.CycleIndexSeries method) points() (in module sage.plot.point) (sage.coding.reed_muller_code.ReedMullerPolynomialEncoder method) (sage.coding.reed_muller_code.ReedMullerVectorEncoder method) (sage.combinat.nu_dyck_word.NuDyckWord method) (sage.combinat.words.paths.FiniteWordPath_all method) (sage.geometry.lattice_polytope.LatticePolytopeClass method) (sage.geometry.triangulation.base.PointConfiguration_base method) (sage.geometry.voronoi_diagram.VoronoiDiagram method) (sage.libs.eclib.interface.mwrank_MordellWeil method) (sage.sandpiles.sandpile.Sandpile method) (sage.schemes.affine.affine_homset.SchemeHomset_points_affine method) (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) (sage.schemes.elliptic_curves.ell_torsion.EllipticCurveTorsionSubgroup method) (sage.schemes.elliptic_curves.heegner.HeegnerPoints_level_disc_cond method) (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method) (sage.schemes.product_projective.homset.SchemeHomset_points_product_projective_spaces_field method) (sage.schemes.projective.projective_homset.SchemeHomset_points_projective_field method) (sage.schemes.projective.projective_homset.SchemeHomset_points_projective_ring method) points_of_bounded_height() (sage.schemes.affine.affine_space.AffineSpace_field method) (sage.schemes.product_projective.space.ProductProjectiveSpaces_field method) (sage.schemes.projective.projective_space.ProjectiveSpace_ring method) pointsets_mod_automorphism() (sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method) pointwise_inverse() (sage.modules.with_basis.morphism.PointwiseInverseFunction method) pointwise_inverse_function() (in module sage.modules.with_basis.morphism) PointwiseInverseFunction (class in sage.modules.with_basis.morphism) poison_currRing() (in module sage.libs.singular.ring) poisson() (sage.manifolds.differentiable.symplectic_form.SymplecticForm method) (sage.manifolds.differentiable.symplectic_form.SymplecticFormParal method) poisson_bracket() (sage.manifolds.differentiable.poisson_tensor.PoissonTensorField method) (sage.manifolds.differentiable.symplectic_form.SymplecticForm method) poisson_tensor() (sage.manifolds.differentiable.manifold.DifferentiableManifold method) (sage.manifolds.differentiable.vectorfield_module.VectorFieldFreeModule method) (sage.manifolds.differentiable.vectorfield_module.VectorFieldModule method) PoissonTensorField (class in sage.manifolds.differentiable.poisson_tensor) PoissonTensorFieldParal (class in sage.manifolds.differentiable.poisson_tensor) pol_curr (sage.interfaces.magma.MagmaGBLogPrettyPrinter attribute) pol_ring() (sage.modular.modform_hecketriangle.abstract_ring.FormsRing_abstract method) polar() (sage.geometry.lattice_polytope.LatticePolytopeClass method) (sage.geometry.polyhedron.base5.Polyhedron_base5 method) (sage.geometry.polyhedron.base_ZZ.Polyhedron_ZZ method) (sage.geometry.polyhedron.combinatorial_polyhedron.base.CombinatorialPolyhedron method) polar_conic() (sage.rings.invariants.invariant_theory.TernaryCubic method) polar_coordinates() (sage.manifolds.differentiable.examples.euclidean.EuclideanPlane method), [1] polar_frame() (sage.manifolds.differentiable.examples.euclidean.EuclideanPlane method), [1] polar_P1xP1_polytope() (in module sage.geometry.polyhedron.ppl_lattice_polygon) polar_P2_112_polytope() (in module sage.geometry.polyhedron.ppl_lattice_polygon) polar_P2_polytope() (in module sage.geometry.polyhedron.ppl_lattice_polygon) polar_plot() (in module sage.plot.plot) poldegree() (sage.rings.number_field.splitting_field.SplittingData method) poles() (sage.rings.function_field.element.FunctionFieldElement method) policy() (sage.structure.set_factories.ParentWithSetFactory method) polish_notation() (sage.logic.boolformula.BooleanFormula method) polish_parse() (in module sage.logic.logicparser) pollack_stevens_modular_symbol() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) PollackStevensModularDomain (class in sage.modular.pollack_stevens.fund_domain) PollackStevensModularSymbols_factory (class in sage.modular.pollack_stevens.space) PollackStevensModularSymbolspace (class in sage.modular.pollack_stevens.space) poly() (sage.rings.qqbar.AlgebraicPolynomialTracker method) (sage.symbolic.expression.Expression method) poly_gens() (sage.combinat.key_polynomial.KeyPolynomialBasis method) poly_reduce() (in module sage.algebras.letterplace.free_algebra_element_letterplace) (in module sage.algebras.letterplace.letterplace_ideal) poly_repr() (sage.rings.polynomial.polydict.PolyDict method) poly_ring() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialCubicQuotientRing method) poly_to_tup() (in module sage.algebras.fusion_rings.poly_tup_engine) poly_tup_sortkey() (in module sage.algebras.fusion_rings.poly_tup_engine) poly_x() (sage.geometry.lattice_polytope.LatticePolytopeClass method) PolyDict (class in sage.rings.polynomial.polydict) polygen() (in module sage.rings.polynomial.polynomial_ring) (sage.modular.quasimodform.ring.QuasiModularForms method) polygens() (in module sage.rings.polynomial.polynomial_ring) Polygon (class in sage.plot.polygon) polygon() (in module sage.plot.polygon) polygon2d() (in module sage.plot.polygon) polygon3d() (in module sage.plot.plot3d.shapes2) polygon_plot3d() (in module sage.groups.perm_gps.cubegroup) polygon_spline() (in module sage.calculus.interpolators) polygonal_number() (in module sage.combinat.combinat) polygons3d() (in module sage.plot.plot3d.shapes2) Polyhedra() (in module sage.geometry.polyhedron.parent) Polyhedra_base (class in sage.geometry.polyhedron.parent) Polyhedra_field (class in sage.geometry.polyhedron.parent) Polyhedra_normaliz (class in sage.geometry.polyhedron.parent) Polyhedra_number_field (class in sage.geometry.polyhedron.parent) Polyhedra_polymake (class in sage.geometry.polyhedron.parent) Polyhedra_QQ_cdd (class in sage.geometry.polyhedron.parent) Polyhedra_QQ_normaliz (class in sage.geometry.polyhedron.parent) Polyhedra_QQ_ppl (class in sage.geometry.polyhedron.parent) Polyhedra_RDF_cdd (class in sage.geometry.polyhedron.parent) Polyhedra_ZZ_normaliz (class in sage.geometry.polyhedron.parent) Polyhedra_ZZ_ppl (class in sage.geometry.polyhedron.parent) polyhedral_complex() (sage.geometry.triangulation.element.Triangulation method) PolyhedralComplex (class in sage.geometry.polyhedral_complex) PolyhedralCone (class in sage.rings.polynomial.groebner_fan) PolyhedralFan (class in sage.rings.polynomial.groebner_fan) polyhedralfan() (sage.rings.polynomial.groebner_fan.GroebnerFan method) PolyhedralSets (class in sage.categories.polyhedra) Polyhedron (class in sage.geometry.abc) Polyhedron() (in module sage.geometry.polyhedron.constructor) polyhedron() (sage.geometry.cone.ConvexRationalPolyhedralCone method) (sage.geometry.hyperplane_arrangement.hyperplane.Hyperplane method) (sage.geometry.lattice_polytope.LatticePolytopeClass method) (sage.geometry.polyhedron.face.PolyhedronFace method) (sage.geometry.polyhedron.representation.PolyhedronRepresentation method) (sage.numerical.mip.MixedIntegerLinearProgram method) (sage.schemes.toric.divisor.ToricDivisor_generic method) Polyhedron_base (class in sage.geometry.polyhedron.base) Polyhedron_base0 (class in sage.geometry.polyhedron.base0) Polyhedron_base1 (class in sage.geometry.polyhedron.base1) Polyhedron_base2 (class in sage.geometry.polyhedron.base2) Polyhedron_base3 (class in sage.geometry.polyhedron.base3) Polyhedron_base4 (class in sage.geometry.polyhedron.base4) Polyhedron_base5 (class in sage.geometry.polyhedron.base5) Polyhedron_base6 (class in sage.geometry.polyhedron.base6) Polyhedron_base7 (class in sage.geometry.polyhedron.base7) Polyhedron_cdd (class in sage.geometry.polyhedron.backend_cdd) Polyhedron_field (class in sage.geometry.polyhedron.backend_field) Polyhedron_normaliz (class in sage.geometry.polyhedron.backend_normaliz) Polyhedron_number_field (class in sage.geometry.polyhedron.backend_number_field) Polyhedron_polymake (class in sage.geometry.polyhedron.backend_polymake) Polyhedron_ppl (class in sage.geometry.polyhedron.backend_ppl) Polyhedron_QQ (class in sage.geometry.polyhedron.base_QQ) Polyhedron_QQ_cdd (class in sage.geometry.polyhedron.backend_cdd) Polyhedron_QQ_normaliz (class in sage.geometry.polyhedron.backend_normaliz) Polyhedron_QQ_polymake (class in sage.geometry.polyhedron.backend_polymake) Polyhedron_QQ_ppl (class in sage.geometry.polyhedron.backend_ppl) Polyhedron_RDF (class in sage.geometry.polyhedron.base_RDF) Polyhedron_RDF_cdd (class in sage.geometry.polyhedron.backend_cdd_rdf) Polyhedron_ZZ (class in sage.geometry.polyhedron.base_ZZ) Polyhedron_ZZ_normaliz (class in sage.geometry.polyhedron.backend_normaliz) Polyhedron_ZZ_polymake (class in sage.geometry.polyhedron.backend_polymake) Polyhedron_ZZ_ppl (class in sage.geometry.polyhedron.backend_ppl) PolyhedronFace (class in sage.geometry.polyhedron.face) PolyhedronFaceLattice (class in sage.geometry.polyhedron.combinatorial_polyhedron.polyhedron_face_lattice) PolyhedronRepresentation (class in sage.geometry.polyhedron.representation) polylog() (sage.rings.complex_arb.ComplexBall method) (sage.rings.padics.padic_generic_element.pAdicGenericElement method) (sage.rings.real_arb.RealBall method) Polymake (in module sage.interfaces.polymake) polymake_console() (in module sage.interfaces.polymake) PolymakeAbstract (class in sage.interfaces.polymake) PolymakeElement (class in sage.interfaces.polymake) PolymakeError PolymakeFunctionElement (class in sage.interfaces.polymake) PolymakeJuPyMake (class in sage.interfaces.polymake) PolymapMatrixAction (class in sage.matrix.action) Polynomial (class in sage.rings.polynomial.polynomial_element) polynomial() (in module sage.symbolic.expression_conversions) (sage.combinat.triangles_FHM.Triangle method) (sage.databases.conway.ConwayPolynomials method) (sage.modular.drinfeld_modform.element.DrinfeldModularFormsElement method) (sage.modular.quasimodform.element.QuasiModularFormsElement method) (sage.quadratic_forms.binary_qf.BinaryQF method) (sage.quadratic_forms.quadratic_form.QuadraticForm method) (sage.quadratic_forms.ternary_qf.TernaryQF method) (sage.rings.finite_rings.conway_polynomials.PseudoConwayLattice method) (sage.rings.finite_rings.element_givaro.FiniteField_givaroElement method) (sage.rings.finite_rings.element_ntl_gf2e.Cache_ntl_gf2e method) (sage.rings.finite_rings.element_ntl_gf2e.FiniteField_ntl_gf2eElement method) (sage.rings.finite_rings.element_pari_ffelt.FiniteFieldElement_pari_ffelt method) (sage.rings.finite_rings.finite_field_base.FiniteField method) (sage.rings.finite_rings.finite_field_prime_modn.FiniteField_prime_modn method) (sage.rings.finite_rings.integer_mod.IntegerMod_abstract method) (sage.rings.function_field.function_field_polymod.FunctionField_polymod method) (sage.rings.function_field.order_basis.FunctionFieldOrder_basis method) (sage.rings.function_field.order_basis.FunctionFieldOrderInfinite_basis method) (sage.rings.function_field.order_polymod.FunctionFieldMaximalOrder_polymod method) (sage.rings.invariants.invariant_theory.AlgebraicForm method) (sage.rings.lazy_series.LazyLaurentSeries method) (sage.rings.lazy_series.LazyPowerSeries method) (sage.rings.multi_power_series_ring_element.MPowerSeries method) (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.number_field.number_field_element.NumberFieldElement method) (sage.rings.number_field.number_field_rel.NumberField_relative method) (sage.rings.padics.padic_capped_absolute_element.CAElement method) (sage.rings.padics.padic_capped_relative_element.CRElement method) (sage.rings.padics.padic_fixed_mod_element.FMElement method) (sage.rings.padics.padic_ZZ_pX_CA_element.pAdicZZpXCAElement method) (sage.rings.padics.padic_ZZ_pX_CR_element.pAdicZZpXCRElement method) (sage.rings.padics.padic_ZZ_pX_FM_element.pAdicZZpXFMElement method) (sage.rings.padics.pow_computer_ext.PowComputer_ZZ_pX method) (sage.rings.polynomial.infinite_polynomial_element.InfinitePolynomial method) (sage.rings.polynomial.integer_valued_polynomials.IntegerValuedPolynomialRing.Bases.ElementMethods method) (sage.rings.polynomial.multi_polynomial.MPolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.power_series_pari.PowerSeries_pari method) (sage.rings.power_series_poly.PowerSeries_poly method) (sage.rings.power_series_ring_element.PowerSeries method) (sage.rings.rational_field.RationalField method) (sage.rings.ring_extension_element.RingExtensionWithBasisElement method) (sage.symbolic.expression.Expression method) Polynomial_absolute_number_field_dense (class in sage.rings.polynomial.polynomial_number_field) polynomial_coefficient() (sage.rings.polynomial.polydict.PolyDict method) polynomial_construction() (sage.rings.polynomial.laurent_polynomial.LaurentPolynomial_univariate method) polynomial_default_category() (in module sage.rings.polynomial.polynomial_ring_constructor) Polynomial_dense_mod_n (class in sage.rings.polynomial.polynomial_modn_dense_ntl) Polynomial_dense_mod_p (class in sage.rings.polynomial.polynomial_modn_dense_ntl) Polynomial_dense_modn_ntl_ZZ (class in sage.rings.polynomial.polynomial_modn_dense_ntl) Polynomial_dense_modn_ntl_zz (class in sage.rings.polynomial.polynomial_modn_dense_ntl) Polynomial_generic_cdv (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_cdvf (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_cdvr (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_dense (class in sage.rings.polynomial.polynomial_element) Polynomial_generic_dense_cdv (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_dense_cdvf (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_dense_cdvr (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_dense_field (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_dense_inexact (class in sage.rings.polynomial.polynomial_element) Polynomial_generic_domain (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_field (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_sparse (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_sparse_cdv (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_sparse_cdvf (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_sparse_cdvr (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_generic_sparse_field (class in sage.rings.polynomial.polynomial_element_generic) Polynomial_GF2X (class in sage.rings.polynomial.polynomial_gf2x) Polynomial_integer_dense_flint (class in sage.rings.polynomial.polynomial_integer_dense_flint) Polynomial_integer_dense_ntl (class in sage.rings.polynomial.polynomial_integer_dense_ntl) polynomial_is_variable() (in module sage.rings.polynomial.polynomial_element) polynomial_ntl() (sage.rings.number_field.number_field.NumberField_generic method) Polynomial_padic (class in sage.rings.polynomial.padics.polynomial_padic) Polynomial_padic_capped_relative_dense (class in sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense) Polynomial_padic_flat (class in sage.rings.polynomial.padics.polynomial_padic_flat) polynomial_part() (sage.modular.modsym.modular_symbols.ModularSymbol method) polynomial_quotient_ring() (sage.rings.number_field.number_field.NumberField_generic method) Polynomial_rational_flint (class in sage.rings.polynomial.polynomial_rational_flint) Polynomial_relative_number_field_dense (class in sage.rings.polynomial.polynomial_number_field) polynomial_ring() (sage.algebras.weyl_algebra.DifferentialWeylAlgebra method) (sage.coding.grs_code.GRSEvaluationPolynomialEncoder method) (sage.coding.reed_muller_code.ReedMullerPolynomialEncoder method) (sage.combinat.key_polynomial.KeyPolynomialBasis method) (sage.modular.drinfeld_modform.ring.DrinfeldModularForms method) (sage.modular.modform.ring.ModularFormsRing method) (sage.modular.quasimodform.ring.QuasiModularForms method) (sage.rings.cfinite_sequence.CFiniteSequences_generic method) (sage.rings.finite_rings.finite_field_base.FiniteField method) (sage.rings.function_field.function_field_polymod.FunctionField_polymod method) (sage.rings.function_field.function_field_rational.RationalFunctionField method) (sage.rings.laurent_series_ring.LaurentSeriesRing method) (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.padics.padic_extension_generic.pAdicExtensionGeneric method) (sage.rings.polynomial.infinite_polynomial_ring.InfinitePolynomialRing_dense method) (sage.rings.polynomial.laurent_polynomial_ring_base.LaurentPolynomialRing_generic method) (sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic method) polynomial_root() (sage.rings.qqbar.AlgebraicField method) (sage.rings.qqbar.AlgebraicRealField method) Polynomial_singular_repr (class in sage.rings.polynomial.polynomial_singular_interface) polynomial_system() (sage.crypto.mq.mpolynomialsystemgenerator.MPolynomialSystemGenerator method) (sage.crypto.mq.sr.SR_generic method) Polynomial_template (class in sage.rings.polynomial.polynomial_gf2x) (class in sage.rings.polynomial.polynomial_zmod_flint) (class in sage.rings.polynomial.polynomial_zz_pex) polynomial_to_list() (in module sage.coding.guruswami_sudan.utils) Polynomial_zmod_flint (class in sage.rings.polynomial.polynomial_zmod_flint) Polynomial_ZZ_pEX (class in sage.rings.polynomial.polynomial_zz_pex) PolynomialBaseringInjection (class in sage.rings.polynomial.polynomial_element) PolynomialConstruct (class in sage.rings.polynomial.pbori.pbori) PolynomialConverter (class in sage.symbolic.expression_conversions) PolynomialFactory (class in sage.rings.polynomial.pbori.pbori) PolynomialFunctor (class in sage.categories.pushout), [1] PolynomialQuotientRing_coercion (class in sage.rings.polynomial.polynomial_quotient_ring) PolynomialQuotientRing_domain (class in sage.rings.polynomial.polynomial_quotient_ring) PolynomialQuotientRing_field (class in sage.rings.polynomial.polynomial_quotient_ring) PolynomialQuotientRing_generic (class in sage.rings.polynomial.polynomial_quotient_ring) PolynomialQuotientRingElement (class in sage.rings.polynomial.polynomial_quotient_ring_element) PolynomialQuotientRingFactory (class in sage.rings.polynomial.polynomial_quotient_ring) PolynomialRealDense (class in sage.rings.polynomial.polynomial_real_mpfr_dense) PolynomialRing() (in module sage.rings.polynomial.polynomial_ring_constructor) PolynomialRing_cdvf (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_cdvr (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_commutative (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_finite_field (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_mod_n (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_mod_p (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_padic_field_capped_relative (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_padic_field_generic (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_padic_ring_capped_absolute (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_padic_ring_capped_relative (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_padic_ring_fixed_mod (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_dense_padic_ring_generic (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_field (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_general (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_integral_domain (class in sage.rings.polynomial.polynomial_ring) PolynomialRing_singular_repr (class in sage.rings.polynomial.polynomial_singular_interface) PolynomialRingHomomorphism_from_base (class in sage.rings.polynomial.polynomial_ring_homomorphism) polynomials() (sage.crypto.sbox.SBox method) (sage.rings.polynomial.polynomial_ring.PolynomialRing_general method) PolynomialSequence() (in module sage.rings.polynomial.multi_polynomial_sequence) PolynomialSequence_generic (class in sage.rings.polynomial.multi_polynomial_sequence) PolynomialSequence_gf2 (class in sage.rings.polynomial.multi_polynomial_sequence) PolynomialSequence_gf2e (class in sage.rings.polynomial.multi_polynomial_sequence) Polyomino (class in sage.combinat.tiling) Polyring_FpT_coerce (class in sage.rings.fraction_field_FpT) polytabloid() (in module sage.combinat.specht_module) polytope() (sage.combinat.crystals.mv_polytopes.MVPolytope method) (sage.sandpiles.sandpile.SandpileDivisor method) polytope_integer_pts() (sage.sandpiles.sandpile.SandpileDivisor method) Polytopes (class in sage.geometry.polyhedron.library) PontryaginAlgorithm (class in sage.manifolds.differentiable.characteristic_cohomology_class) PontryaginEulerAlgorithm (class in sage.manifolds.differentiable.characteristic_cohomology_class) PoorManMap (class in sage.categories.poor_man_map) pop() (sage.data_structures.bitset.Bitset method) (sage.data_structures.mutable_poset.MutablePoset method) (sage.misc.converting_dict.KeyConvertingDict method) POP() (sage.misc.explain_pickle.PickleExplainer method) pop() (sage.misc.explain_pickle.PickleExplainer method) (sage.misc.weak_dict.WeakValueDictionary method) (sage.repl.preparse.QuoteStack method) (sage.structure.list_clone.ClonableList method) (sage.structure.sequence.Sequence_generic method) POP_MARK() (sage.misc.explain_pickle.PickleExplainer method) pop_max() (sage.misc.binary_tree.BinaryTree method) pop_min() (sage.misc.binary_tree.BinaryTree method) pop_to_mark() (sage.misc.explain_pickle.PickleExplainer method) pop_transform() (sage.plot.plot3d.base.RenderParams method) popcount() (sage.rings.integer.Integer method) popitem() (sage.misc.weak_dict.WeakValueDictionary method) popov_form() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) populate_roots_interval_cache() (in module sage.schemes.curves.zariski_vankampen) pos (sage.algebras.hecke_algebras.cubic_hecke_matrix_rep.GenSign attribute) posdict_is_sane() (in module sage.matroids.matroids_plot_helpers) poset (sage.data_structures.mutable_poset.MutablePosetShell property) Poset() (in module sage.combinat.posets.posets) poset() (sage.combinat.interval_posets.TamariIntervalPoset method) (sage.combinat.posets.incidence_algebras.IncidenceAlgebra method), [1] (sage.combinat.posets.incidence_algebras.ReducedIncidenceAlgebra method), [1] (sage.combinat.posets.linear_extensions.LinearExtensionOfPoset method) (sage.combinat.posets.linear_extensions.LinearExtensionsOfPoset method) poset_of_regions() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method) PosetElement (class in sage.combinat.posets.elements) Posets (class in sage.categories.posets) (class in sage.combinat.posets.poset_examples) posets (in module sage.combinat.posets.poset_examples) Posets (sage.rings.asymptotic.growth_group.ExponentialGrowthGroup attribute) (sage.rings.asymptotic.growth_group.GenericGrowthGroup attribute) (sage.rings.asymptotic.growth_group.MonomialGrowthGroup attribute) Posets.ElementMethods (class in sage.categories.posets) Posets.ParentMethods (class in sage.categories.posets) position() (sage.combinat.affine_permutation.AffinePermutationTypeA method) (sage.combinat.affine_permutation.AffinePermutationTypeC method) (sage.combinat.affine_permutation.AffinePermutationTypeG method) (sage.combinat.yang_baxter_graph.SwapOperator method) (sage.plot.multigraphics.GraphicsArray method) (sage.plot.multigraphics.MultiGraphics method) position_of_first_return() (sage.combinat.dyck_word.DyckWord method) position_of_first_unmatched_plus() (sage.combinat.crystals.tensor_product_element.TensorProductOfRegularCrystalsElement method) position_of_last_unmatched_minus() (sage.combinat.crystals.tensor_product_element.TensorProductOfRegularCrystalsElement method) positions_of_double_rises() (sage.combinat.dyck_word.DyckWord method) positions_of_unmatched_minus() (sage.combinat.crystals.tensor_product_element.TensorProductOfRegularCrystalsElement method) positions_of_unmatched_plus() (sage.combinat.crystals.tensor_product_element.TensorProductOfRegularCrystalsElement method) positive (sage.databases.knotinfo_db.dc attribute) positive_circuits() (sage.geometry.triangulation.point_configuration.PointConfiguration method) positive_even_roots() (sage.combinat.root_system.type_super_A.AmbientSpace method) positive_imaginary_roots() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) positive_integer_relations() (in module sage.geometry.lattice_polytope) positive_odd_roots() (sage.combinat.root_system.type_super_A.AmbientSpace method) positive_operators_gens() (sage.geometry.cone.ConvexRationalPolyhedralCone method) positive_real_roots() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) positive_roots() (sage.combinat.root_system.reflection_group_real.RealReflectionGroup method) (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) (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.root_system.type_G.AmbientSpace method) (sage.combinat.root_system.type_reducible.AmbientSpace method) (sage.combinat.root_system.type_super_A.AmbientSpace method) (sage.combinat.root_system.weyl_characters.WeightRing method) (sage.combinat.root_system.weyl_characters.WeylCharacterRing method) (sage.combinat.root_system.weyl_group.WeylGroup_permutation method) (sage.groups.matrix_gps.coxeter_group.CoxeterMatrixGroup method) positive_roots_by_height() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) positive_roots_nonparabolic() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) positive_roots_nonparabolic_sum() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) positive_roots_parabolic() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) PositiveIntegerMonoid (class in sage.categories.examples.facade_sets) PositiveIntegers (class in sage.sets.positive_integers) PositiveIntegerSemigroup (class in sage.combinat.backtrack) PositiveIntegersOrderedByDivisibilityFacade (class in sage.categories.examples.posets) PositiveIntegersOrderedByDivisibilityFacade.element_class (class in sage.categories.examples.posets) positively_parallel_weights() (in module sage.combinat.crystals.littelmann_path) possible_automorphisms (sage.quadratic_forms.ternary_qf.TernaryQF attribute) possible_dual_simplex_method_steps() (sage.numerical.interactive_simplex_method.LPAbstractDictionary method) possible_entering() (sage.numerical.interactive_simplex_method.LPAbstractDictionary method) possible_hypergeometric_data() (in module sage.modular.hypergeometric_motive) possible_isogeny_degrees() (in module sage.schemes.elliptic_curves.isogeny_class) possible_leaving() (sage.numerical.interactive_simplex_method.LPAbstractDictionary method) possible_mu0s() (in module sage.rings.number_field.S_unit_solver) possible_orders() (sage.modular.abvar.torsion_subgroup.RationalTorsionSubgroup method) possible_periods() (sage.dynamics.arithmetic_dynamics.projective_ds.DynamicalSystem_projective method) (sage.dynamics.arithmetic_dynamics.projective_ds.DynamicalSystem_projective_finite_field method) possible_simplex_method_steps() (sage.numerical.interactive_simplex_method.LPAbstractDictionary method) possible_values() (sage.combinat.bijectionist.Bijectionist method) post_compose() (sage.categories.map.Map method) post_order_traversal() (sage.combinat.abstract_tree.AbstractTree method) post_order_traversal_iter() (sage.combinat.abstract_tree.AbstractTree method) post_process() (sage.combinat.subsets_pairwise.PairwiseCompatibleSubsets method) (sage.parallel.map_reduce.RESetMapReduce method) post_rescaling() (sage.schemes.elliptic_curves.weierstrass_transform.WeierstrassTransformation method) postcompose() (sage.rings.derivation.RingDerivationWithoutTwist method) (sage.rings.derivation.RingDerivationWithTwist_generic method) postcritical_set() (sage.dynamics.arithmetic_dynamics.projective_ds.DynamicalSystem_projective method) postulation() (sage.sandpiles.sandpile.Sandpile method) potential_good_reduction() (sage.dynamics.arithmetic_dynamics.projective_ds.DynamicalSystem_projective_field method) potential_kernel() (sage.schemes.berkovich.berkovich_cp_element.Berkovich_Element_Cp method) potts_representation() (sage.combinat.diagram_algebras.PartitionAlgebra method), [1] PottsRepresentation (class in sage.combinat.diagram_algebras), [1] PottsRepresentation.Element (class in sage.combinat.diagram_algebras), [1] PoussinGraph() (in module sage.graphs.generators.smallgraphs) (sage.graphs.graph_generators.GraphGenerators static method) POVRay (class in sage.interfaces.povray) pow() (sage.rings.asymptotic.asymptotic_ring.AsymptoticExpansion method) (sage.rings.complex_arb.ComplexBall method) pow_Integer_Integer() (sage.rings.padics.pow_computer.PowComputer_class method) pow_pd (class in sage.rings.polynomial.polynomial_compiled) pow_truncate() (sage.libs.flint.fmpz_poly_sage.Fmpz_poly method) PowComputer() (in module sage.rings.padics.pow_computer) PowComputer_ (class in sage.rings.padics.padic_capped_absolute_element) (class in sage.rings.padics.padic_capped_relative_element) (class in sage.rings.padics.padic_fixed_mod_element) PowComputer_base (class in sage.rings.padics.pow_computer) PowComputer_class (class in sage.rings.padics.pow_computer) PowComputer_ext (class in sage.rings.padics.pow_computer_ext) PowComputer_ext_maker() (in module sage.rings.padics.pow_computer_ext) PowComputer_ZZ_pX (class in sage.rings.padics.pow_computer_ext) PowComputer_ZZ_pX_big (class in sage.rings.padics.pow_computer_ext) PowComputer_ZZ_pX_big_Eis (class in sage.rings.padics.pow_computer_ext) PowComputer_ZZ_pX_FM (class in sage.rings.padics.pow_computer_ext) PowComputer_ZZ_pX_FM_Eis (class in sage.rings.padics.pow_computer_ext) PowComputer_ZZ_pX_small (class in sage.rings.padics.pow_computer_ext) PowComputer_ZZ_pX_small_Eis (class in sage.rings.padics.pow_computer_ext) power() (in module sage.combinat.root_system.reflection_group_complex) (sage.combinat.partition.Partition method) (sage.combinat.sf.sf.SymmetricFunctions method) (sage.graphs.generic_graph.GenericGraph method) (sage.rings.finite_rings.hom_finite_field.FrobeniusEndomorphism_finite_field method) (sage.rings.morphism.FrobeniusEndomorphism_generic method) (sage.rings.padics.morphism.FrobeniusEndomorphism_padics method) (sage.schemes.berkovich.berkovich_cp_element.Berkovich_Element_Cp method) (sage.symbolic.expression.Expression method) power_basis() (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.rational_field.RationalField method) power_mod() (in module sage.arith.misc) power_series() (sage.functions.transcendental.DickmanRho method) (sage.modular.abvar.lseries.Lseries_padic method) (sage.rings.laurent_series_ring_element.LaurentSeries method) (sage.rings.puiseux_series_ring_element.PuiseuxSeries method) (sage.schemes.elliptic_curves.modular_parametrization.ModularParameterization method) (sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesOrdinary method) (sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesSupersingular method) (sage.symbolic.expression.Expression method) (sage.symbolic.expression.SymbolicSeries method) power_series_ring() (sage.rings.laurent_series_ring.LaurentSeriesRing method) power_trunc() (sage.rings.polynomial.polynomial_element.Polynomial method) powermod() (sage.rings.integer.Integer method) PowerPoset() (sage.combinat.posets.poset_examples.Posets static method) powers() (sage.categories.monoids.Monoids.ElementMethods method) (sage.structure.element.MonoidElement method) (sage.structure.element.RingElement method) PowerSeries (class in sage.rings.power_series_ring_element) PowerSeries_pari (class in sage.rings.power_series_pari) PowerSeries_poly (class in sage.rings.power_series_poly) PowerSeriesRing() (in module sage.rings.power_series_ring) PowerSeriesRing_domain (class in sage.rings.power_series_ring) PowerSeriesRing_generic (class in sage.rings.power_series_ring) PowerSeriesRing_over_field (class in sage.rings.power_series_ring) powerset() (in module sage.combinat.subset) powersum() (sage.combinat.sf.sf.SymmetricFunctions method) pp() (sage.combinat.composition_tableau.CompositionTableau method) (sage.combinat.crystals.affine.AffineCrystalFromClassicalElement method) (sage.combinat.crystals.generalized_young_walls.GeneralizedYoungWall method) (sage.combinat.crystals.kirillov_reshetikhin.KirillovReshetikhinGenericCrystalElement method) (sage.combinat.crystals.kirillov_reshetikhin.PMDiagram method) (sage.combinat.crystals.spins.Spin method) (sage.combinat.crystals.tensor_product_element.CrystalOfBKKTableauxElement method) (sage.combinat.crystals.tensor_product_element.CrystalOfTableauxElement method) (sage.combinat.crystals.tensor_product_element.TensorProductOfCrystalsElement method) (sage.combinat.diagram.Diagram method) (sage.combinat.dyck_word.DyckWord method) (sage.combinat.gelfand_tsetlin_patterns.GelfandTsetlinPattern method) (sage.combinat.k_tableau.StrongTableau method) (sage.combinat.k_tableau.WeakTableau_abstract method) (sage.combinat.nu_dyck_word.NuDyckWord method) (sage.combinat.partition.Partition method) (sage.combinat.partition_tuple.PartitionTuple method) (sage.combinat.path_tableaux.path_tableau.CylindricalDiagram method) (sage.combinat.plane_partition.PlanePartition method) (sage.combinat.rigged_configurations.kr_tableaux.KirillovReshetikhinTableauxElement method) (sage.combinat.rigged_configurations.tensor_product_kr_tableaux_element.TensorProductOfKirillovReshetikhinTableauxElement method) (sage.combinat.shifted_primed_tableau.ShiftedPrimedTableau method) (sage.combinat.skew_partition.SkewPartition method) (sage.combinat.skew_tableau.SkewTableau method) (sage.combinat.tableau.Tableau method) (sage.combinat.tableau_tuple.TableauTuple method) PP10() (in module sage.matroids.database_matroids) PP9() (in module sage.matroids.database_matroids) ppi() (sage.interfaces.four_ti_2.FourTi2 method) PPLBackend (class in sage.numerical.backends.ppl_backend) PQ (class in sage.graphs.pq_trees) pq_group_bitrade_generators() (in module sage.combinat.matrices.latin) pre_compose() (sage.categories.map.Map method) pre_handler_hook() (sage.repl.ipython_kernel.kernel.SageKernel method) pre_hash() (in module sage.doctest.parsing) pre_Lie_product() (sage.combinat.free_prelie_algebra.FreePreLieAlgebra method), [1] pre_Lie_product_on_basis() (sage.combinat.free_prelie_algebra.FreePreLieAlgebra method), [1] pre_order_traversal() (sage.combinat.abstract_tree.AbstractTree method) pre_order_traversal_iter() (sage.combinat.abstract_tree.AbstractTree method) prec() (sage.combinat.fqsym.FQSymBases.ParentMethods method) (sage.combinat.free_dendriform_algebra.FreeDendriformAlgebra method), [1] (sage.modular.modform.ambient.ModularFormsAmbient method) (sage.modular.modform.element.ModularForm_abstract method) (sage.modular.modform.space.ModularFormsSpace method) (sage.modular.modform_hecketriangle.series_constructor.MFSeriesConstructor method) (sage.modular.overconvergent.genus0.OverconvergentModularFormElement method) (sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method) (sage.rings.complex_arb.ComplexBallField method) (sage.rings.complex_double.ComplexDoubleElement method) (sage.rings.complex_double.ComplexDoubleField_class method) (sage.rings.complex_interval.ComplexIntervalFieldElement method) (sage.rings.complex_interval_field.ComplexIntervalField_class method) (sage.rings.complex_mpc.MPComplexField_class method) (sage.rings.complex_mpc.MPComplexNumber method) (sage.rings.complex_mpfr.ComplexField_class method) (sage.rings.complex_mpfr.ComplexNumber method) (sage.rings.laurent_series_ring_element.LaurentSeries method) (sage.rings.lazy_series.LazyModuleElement method) (sage.rings.multi_power_series_ring_element.MPowerSeries method) (sage.rings.polynomial.ore_polynomial_element.OrePolynomial method) (sage.rings.polynomial.polynomial_element.Polynomial method) (sage.rings.power_series_ring_element.PowerSeries method) (sage.rings.puiseux_series_ring_element.PuiseuxSeries method) (sage.rings.real_arb.RealBallField method) (sage.rings.real_double.RealDoubleElement method) (sage.rings.real_double.RealDoubleField_class method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealField_class method) (sage.rings.real_mpfr.RealNumber method) (sage.schemes.berkovich.berkovich_cp_element.Berkovich_Element_Cp method) prec_by_coercion() (sage.combinat.fqsym.FQSymBases.ParentMethods method) prec_degree() (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) (sage.rings.polynomial.polynomial_element.Polynomial_generic_dense_inexact method) prec_ideal() (sage.rings.multi_power_series_ring.MPowerSeriesRing_generic method) prec_product_on_basis() (sage.combinat.fqsym.FreeQuasisymmetricFunctions.F method) (sage.combinat.free_dendriform_algebra.FreeDendriformAlgebra method), [1] prec_seq() (in module sage.rings.qqbar) precheck() (in module sage.combinat.root_system.dynkin_diagram) precision() (sage.rings.complex_arb.ComplexBallField method) (sage.rings.complex_double.ComplexDoubleField_class method) (sage.rings.complex_interval_field.ComplexIntervalField_class method) (sage.rings.complex_mpfr.ComplexField_class method) (sage.rings.padics.generic_nodes.pAdicLatticeGeneric method) (sage.rings.real_arb.RealBallField method) (sage.rings.real_double.RealDoubleField_class method) (sage.rings.real_mpfi.RealIntervalField_class method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.real_mpfr.RealField_class method) (sage.rings.real_mpfr.RealNumber method) (sage.schemes.berkovich.berkovich_cp_element.Berkovich_Element_Cp method) precision_absolute() (sage.rings.laurent_series_ring_element.LaurentSeries method) (sage.rings.padics.padic_capped_absolute_element.CAElement method) (sage.rings.padics.padic_capped_relative_element.CRElement method) (sage.rings.padics.padic_fixed_mod_element.FMElement method) (sage.rings.padics.padic_ZZ_pX_CA_element.pAdicZZpXCAElement method) (sage.rings.padics.padic_ZZ_pX_CR_element.pAdicZZpXCRElement method) (sage.rings.padics.padic_ZZ_pX_FM_element.pAdicZZpXFMElement method) (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) (sage.rings.power_series_ring_element.PowerSeries method) (sage.rings.puiseux_series_ring_element.PuiseuxSeries method) precision_cap() (sage.modular.btquotients.pautomorphicform.pAdicAutomorphicForms method) (sage.modular.pollack_stevens.distributions.OverconvergentDistributions_abstract method) (sage.modular.pollack_stevens.space.PollackStevensModularSymbolspace method) (sage.rings.padics.generic_nodes.pAdicLatticeGeneric method) (sage.rings.padics.generic_nodes.pAdicRelaxedGeneric method) (sage.rings.padics.local_generic.LocalGeneric method) (sage.rings.tate_algebra.TateAlgebra_generic method) precision_cap_absolute() (sage.rings.padics.generic_nodes.pAdicLatticeGeneric method) precision_cap_relative() (sage.rings.padics.generic_nodes.pAdicLatticeGeneric method) precision_relative() (sage.modular.pollack_stevens.modsym.PSModularSymbolElement_dist method) (sage.rings.laurent_series_ring_element.LaurentSeries method) (sage.rings.padics.padic_capped_absolute_element.CAElement method) (sage.rings.padics.padic_capped_relative_element.CRElement method) (sage.rings.padics.padic_fixed_mod_element.FMElement method) (sage.rings.padics.padic_ZZ_pX_CA_element.pAdicZZpXCAElement method) (sage.rings.padics.padic_ZZ_pX_CR_element.pAdicZZpXCRElement method) (sage.rings.padics.padic_ZZ_pX_FM_element.pAdicZZpXFMElement method) (sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense.Polynomial_padic_capped_relative_dense method) (sage.rings.power_series_ring_element.PowerSeries method) (sage.rings.puiseux_series_ring_element.PuiseuxSeries method) PrecisionError, [1] precompose() (sage.rings.derivation.RingDerivationWithoutTwist method) (sage.rings.derivation.RingDerivationWithTwist_generic method) PrecomposedAction (class in sage.categories.action), [1] precomputation_list() (sage.arith.multi_modular.MultiModularBasis_base method) precompute() (sage.misc.cachefunc.CachedFunction method) (sage.misc.cachefunc.CachedMethodCaller method) precompute_degree_reduction_cache() (in module sage.rings.polynomial.real_roots) precompute_table() (sage.rings.finite_rings.integer_mod.NativeIntStruct method) precprint() (in module sage.rings.padics.misc) pred() (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ElementMethods method) predecessors() (sage.combinat.finite_state_machine.FiniteStateMachine method) (sage.data_structures.mutable_poset.MutablePosetShell method) preferences (sage.repl.rich_output.display_manager.DisplayManager property) PreferencesABC (class in sage.repl.rich_output.preferences) prefix() (sage.combinat.sf.sfa.SymmetricFunctionAlgebra_generic method) (sage.structure.indexed_generators.IndexedGenerators method) prefix_check() (in module sage.rings.polynomial.groebner_fan) prefix_function_table() (sage.combinat.words.finite_word.FiniteWord_class method) prefix_len (sage_docbuild.sphinxbuild.SageSphinxLogger attribute) prefix_set() (sage.combinat.recognizable_series.PrefixClosedSet method) prefix_to_infix() (in module sage.logic.logicparser) PrefixClosedSet (class in sage.combinat.recognizable_series) prefixes_iterator() (sage.combinat.words.abstract_word.Word_class method) preimage() (sage.algebras.lie_algebras.lie_algebra.LiftMorphismToAssociative method) (sage.groups.libgap_morphism.GroupMorphism_libgap method) (sage.manifolds.chart.Chart method) (sage.manifolds.continuous_map.ContinuousMap method) (sage.manifolds.scalarfield.ScalarField method) (sage.modules.tensor_operations.TensorOperation method) (sage.modules.with_basis.morphism.TriangularModuleMorphism method) (sage.rings.number_field.morphism.NumberFieldHomomorphism_im_gens method) (sage.schemes.projective.projective_subscheme.AlgebraicScheme_subscheme_projective method) preimage_cones() (sage.geometry.fan_morphism.FanMorphism method) preimage_fan() (sage.geometry.fan_morphism.FanMorphism method) preimage_representative() (sage.modules.free_module_morphism.FreeModuleMorphism method) PreLieFunctor (class in sage.combinat.free_prelie_algebra), [1] prep() (in module sage.plot.plot3d.platonic) prep_hecke_on_gen() (sage.modular.pollack_stevens.fund_domain.ManinRelations method) prep_hecke_on_gen_list() (sage.modular.pollack_stevens.fund_domain.ManinRelations method) prepare() (in module sage.modules.free_module_element) preparse() (in module sage.repl.preparse) (sage.interfaces.sage0.Sage method) (sage.misc.sage_input.SageInputBuilder method) preparse_calculus() (in module sage.repl.preparse) preparse_file() (in module sage.repl.preparse) preparse_file_named() (in module sage.repl.preparse) preparse_file_named_to_stream() (in module sage.repl.preparse) preparse_generators() (in module sage.repl.preparse) preparse_imports_from_sage() (sage.repl.interpreter.InterfaceShellTransformer method) preparse_numeric_literals() (in module sage.repl.preparse) preparser() (in module sage.repl.interpreter) preperiod() (sage.rings.continued_fraction.ContinuedFraction_periodic method) preperiod_length() (sage.rings.continued_fraction.ContinuedFraction_periodic method) preperiodic_points() (sage.dynamics.arithmetic_dynamics.projective_ds.DynamicalSystem_projective method) prepone_output() (sage.combinat.finite_state_machine.FiniteStateMachine method) preprocess_assumptions() (in module sage.symbolic.assumptions) PRESENT (class in sage.crypto.block_cipher.present) PRESENT_KS (class in sage.crypto.block_cipher.present) presentation() (sage.modules.filtered_vector_space.FilteredVectorSpace_class method) presentation_two_generators() (sage.groups.braid.BraidGroup_class method) PresentationComplex() (in module sage.topology.simplicial_set_examples) preserves_orientation() (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometry method) (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometryPD method) (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometryUHP method) pretty() (sage.repl.display.pretty_print.SagePrettyPrinter method) pretty_print() (in module sage.repl.rich_output.pretty_print) (sage.combinat.dyck_word.DyckWord method) (sage.combinat.nu_dyck_word.NuDyckWord method) (sage.combinat.parking_functions.ParkingFunction method) (sage.repl.rich_output.pretty_print.SequencePrettyPrinter method) pretty_print_default() (in module sage.misc.html) pretty_repr (sage.repl.display.pretty_print.SagePrettyPrinter attribute) prev() (sage.combinat.misc.DoublyLinkedList method) (sage.combinat.partition.Partitions_n method) (sage.combinat.permutation.Permutation method) preview_word() (sage.combinat.finite_state_machine.FSMProcessIterator method) previous_prime() (in module sage.arith.misc) (sage.rings.integer.Integer method) previous_prime_power() (in module sage.arith.misc) (sage.rings.integer.Integer method) primary_decomposition() (sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra.FiniteDimensionalAlgebra method) (sage.rings.ideal.Ideal_generic method) (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) primary_decomposition_complete() (sage.rings.polynomial.multi_polynomial_ideal.MPolynomialIdeal_singular_repr method) primary_dinversion_pairs() (sage.combinat.parking_functions.ParkingFunction method) primary_part() (sage.modules.torsion_quadratic_module.TorsionQuadraticModule method) PrimarySimilarityClassType (class in sage.combinat.similarity_class_type) PrimarySimilarityClassTypes (class in sage.combinat.similarity_class_type) PRIME (sage.graphs.graph_decompositions.modular_decomposition.NodeType attribute) prime() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic.Element method) (sage.modular.abvar.lseries.Lseries_padic method) (sage.modular.btquotients.btquotient.BruhatTitsQuotient method) (sage.modular.btquotients.pautomorphicform.pAdicAutomorphicForms method) (sage.modular.local_comp.local_comp.LocalComponentBase method) (sage.modular.local_comp.smoothchar.SmoothCharacterGroupGeneric method) (sage.modular.local_comp.type_space.TypeSpace method) (sage.modular.overconvergent.genus0.OverconvergentModularFormElement method) (sage.modular.overconvergent.genus0.OverconvergentModularFormsSpace method) (sage.modular.overconvergent.weightspace.WeightSpace_class method) (sage.modular.pollack_stevens.distributions.OverconvergentDistributions_abstract method) (sage.modular.pollack_stevens.padic_lseries.pAdicLseries method) (sage.modular.pollack_stevens.space.PollackStevensModularSymbolspace method) (sage.modular.ssmod.ssmod.SupersingularModule method) (sage.quadratic_forms.genera.genus.Genus_Symbol_p_adic_ring method) (sage.rings.padics.padic_generic.pAdicGeneric method) (sage.rings.tate_algebra.TateAlgebra_generic method) (sage.rings.tate_algebra.TateTermMonoid method) (sage.schemes.berkovich.berkovich_cp_element.Berkovich_Element_Cp method) (sage.schemes.berkovich.berkovich_space.Berkovich_Cp method) (sage.schemes.elliptic_curves.ell_local_data.EllipticCurveLocalData method) (sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method) (sage.schemes.elliptic_curves.padic_lseries.pAdicLseries method) (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientRing method) prime_above() (sage.rings.number_field.number_field.NumberField_generic method) prime_below() (sage.rings.function_field.ideal_polymod.FunctionFieldIdeal_polymod method) (sage.rings.function_field.ideal_polymod.FunctionFieldIdealInfinite_polymod method) prime_candidates() (sage.matrix.compute_J_ideal.ComputeMinimalPolynomials method) prime_degree() (sage.combinat.partition.Partition method) (sage.combinat.partition_tuple.PartitionTuple method) prime_divisor() (in module sage.rings.function_field.divisor) prime_divisors() (in module sage.arith.misc) (sage.rings.integer.Integer method) prime_elements() (sage.combinat.posets.hasse_diagram.HasseDiagram method) prime_factors() (in module sage.arith.misc) (sage.rings.integer.Integer method) (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) prime_ideal() (sage.rings.function_field.order_rational.FunctionFieldMaximalOrderInfinite_rational method) (sage.rings.function_field.place.FunctionFieldPlace method) (sage.schemes.generic.point.SchemeTopologicalPoint_prime_ideal method) prime_powers() (in module sage.arith.misc) prime_range() (in module sage.rings.fast_arith) prime_subfield() (sage.rings.finite_rings.finite_field_givaro.FiniteField_givaro method) (sage.rings.finite_rings.finite_field_ntl_gf2e.FiniteField_ntl_gf2e method) (sage.rings.ring.Field method) prime_to_idealM_part() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) prime_to_m_part() (in module sage.arith.misc) (sage.rings.integer.Integer method) prime_to_S_part() (sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal method) (sage.rings.rational.Rational method) primed() (sage.combinat.shifted_primed_tableau.PrimedEntry method) PrimedEntry (class in sage.combinat.shifted_primed_tableau) PrimeNumbers (class in sage.categories.examples.sets_cat) PrimeNumbers_Abstract (class in sage.categories.examples.sets_cat) PrimeNumbers_Abstract.Element (class in sage.categories.examples.sets_cat) PrimeNumbers_Facade (class in sage.categories.examples.sets_cat) PrimeNumbers_Inherits (class in sage.categories.examples.sets_cat) PrimeNumbers_Inherits.Element (class in sage.categories.examples.sets_cat) PrimeNumbers_Wrapper (class in sage.categories.examples.sets_cat) PrimeNumbers_Wrapper.Element (class in sage.categories.examples.sets_cat) PrimePi (class in sage.functions.prime_pi) Primes (class in sage.sets.primes) primes() (in module sage.arith.misc) (sage.databases.conway.ConwayPolynomials method) (sage.rings.number_field.unit_group.UnitGroup method) primes_above() (sage.rings.number_field.number_field.NumberField_generic method) primes_first_n() (in module sage.arith.misc) primes_of_bad_reduction() (sage.dynamics.arithmetic_dynamics.projective_ds.DynamicalSystem_projective method) primes_of_bounded_norm() (sage.rings.number_field.number_field.NumberField_generic method) primes_of_bounded_norm_iter() (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.rational_field.RationalField method) primes_of_degree_one_iter() (sage.rings.number_field.number_field.NumberField_generic method) primes_of_degree_one_list() (sage.rings.number_field.number_field.NumberField_generic method) primitive() (sage.combinat.ncsym.bases.NCSymBases.ParentMethods method) (sage.combinat.ncsym.ncsym.SymmetricFunctionsNonCommutingVariables.powersum method) (sage.combinat.words.finite_word.FiniteWord_class method) (sage.geometry.hyperplane_arrangement.hyperplane.Hyperplane method) (sage.quadratic_forms.quadratic_form.QuadraticForm method) (sage.quadratic_forms.ternary_qf.TernaryQF method) primitive_character() (sage.modular.dirichlet.DirichletCharacter method) primitive_collections() (sage.geometry.fan.RationalPolyhedralFan method) primitive_data() (sage.modular.hypergeometric_motive.HypergeometricData method) primitive_decomposition() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method), [1] primitive_element() (sage.rings.finite_rings.finite_field_base.FiniteField method) (sage.rings.function_field.function_field_polymod.FunctionField_polymod method) (sage.rings.number_field.number_field.NumberField_generic method) primitive_eulerian_polynomial() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method) primitive_index() (sage.modular.hypergeometric_motive.HypergeometricData method) primitive_integal_element_infinite() (sage.rings.function_field.function_field_polymod.FunctionField_integral method) primitive_length() (sage.combinat.words.finite_word.FiniteWord_class method) primitive_part() (sage.modular.modform_hecketriangle.hecke_triangle_group_element.HeckeTriangleGroupElement method) (sage.symbolic.expression.Expression method) primitive_power() (sage.modular.modform_hecketriangle.hecke_triangle_group_element.HeckeTriangleGroupElement method) primitive_preimage_cones() (sage.geometry.fan_morphism.FanMorphism method) primitive_representative() (sage.modular.modform_hecketriangle.hecke_triangle_group_element.HeckeTriangleGroupElement method) primitive_root() (in module sage.arith.misc) (sage.coding.cyclic_code.CyclicCode method) primitive_root_of_unity() (sage.rings.number_field.number_field.NumberField_generic method) (sage.rings.padics.padic_generic.pAdicGeneric method) primitive_vector_field() (sage.combinat.root_system.reflection_group_complex.ComplexReflectionGroup method) PrimitiveGroup (class in sage.groups.perm_gps.permgroup_named) PrimitiveGroups() (in module sage.groups.perm_gps.permgroup_named) PrimitiveGroupsAll (class in sage.groups.perm_gps.permgroup_named) PrimitiveGroupsOfDegree (class in sage.groups.perm_gps.permgroup_named) PrimitiveLocalComponent (class in sage.modular.local_comp.local_comp) PrimitiveObject (class in sage.plot.plot3d.base) PrimitivePrincipalSeries (class in sage.modular.local_comp.local_comp) primitives() (in module sage.combinat.similarity_class_type) PrimitiveSpecial (class in sage.modular.local_comp.local_comp) PrimitiveSupercuspidal (class in sage.modular.local_comp.local_comp) primitivize() (in module sage.quadratic_forms.ternary) principal() (sage.quadratic_forms.binary_qf.BinaryQF static method) principal_congruences_poset() (sage.combinat.posets.hasse_diagram.HasseDiagram method) principal_curvatures() (sage.manifolds.differentiable.pseudo_riemannian_submanifold.PseudoRiemannianSubmanifold method) principal_directions() (sage.geometry.riemannian_manifolds.parametrized_surface3d.ParametrizedSurface3D method) (sage.manifolds.differentiable.degenerate_submanifold.DegenerateSubmanifold method) (sage.manifolds.differentiable.pseudo_riemannian_submanifold.PseudoRiemannianSubmanifold method) principal_extension() (sage.combinat.cluster_algebra_quiver.cluster_seed.ClusterSeed method) (sage.combinat.cluster_algebra_quiver.quiver.ClusterQuiver method) principal_ideal() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ParentMethods method) (sage.rings.ring.Ring method) principal_lower_set() (sage.categories.posets.Posets.ParentMethods method) principal_order_filter() (sage.categories.posets.Posets.ParentMethods method) (sage.combinat.posets.hasse_diagram.HasseDiagram method) principal_order_ideal() (sage.categories.posets.Posets.ParentMethods method) (sage.combinat.posets.hasse_diagram.HasseDiagram method) principal_specialization() (sage.combinat.sf.elementary.SymmetricFunctionAlgebra_elementary.Element method) (sage.combinat.sf.homogeneous.SymmetricFunctionAlgebra_homogeneous.Element method) (sage.combinat.sf.monomial.SymmetricFunctionAlgebra_monomial.Element method) (sage.combinat.sf.powersum.SymmetricFunctionAlgebra_power.Element method) (sage.combinat.sf.schur.SymmetricFunctionAlgebra_schur.Element method) (sage.combinat.sf.sfa.SymmetricFunctionAlgebra_generic_Element method) principal_square_root() (sage.matrix.matrix2.Matrix method) principal_submatrices() (sage.combinat.root_system.cartan_matrix.CartanMatrix method) principal_upper_set() (sage.categories.posets.Posets.ParentMethods method) PrincipalClusterAlgebraElement (class in sage.algebras.cluster_algebra) PrincipalIdealDomain (class in sage.rings.ring) PrincipalIdealDomainElement (class in sage.structure.element) PrincipalIdealDomains (class in sage.categories.principal_ideal_domains) PrincipalIdealDomains.ElementMethods (class in sage.categories.principal_ideal_domains) PrincipalIdealDomains.ParentMethods (class in sage.categories.principal_ideal_domains) PrincipalSeries (class in sage.modular.local_comp.local_comp) print_bases() (sage.tensor.modules.finite_rank_free_module.FiniteRankFreeModule method) print_basis() (sage.coding.binary_code.PartitionStack method) print_communication_statistics() (sage.parallel.map_reduce.RESetMapReduce method) print_compare() (in module sage.categories.sets_cat) print_currRing() (in module sage.libs.singular.ring) print_data() (sage.coding.binary_code.BinaryCode method) (sage.coding.binary_code.PartitionStack method) print_included_modules() (sage_docbuild.builders.ReferenceSubBuilder method) print_kitten() (sage.games.hexad.Minimog method) print_last() (sage.misc.profiler.Profiler method) print_md_tree() (in module sage.graphs.graph_decompositions.modular_decomposition) print_mode() (sage.rings.padics.padic_generic.pAdicGeneric method) print_modified_modules() (sage_docbuild.builders.ReferenceSubBuilder method) print_new_and_updated_modules() (sage_docbuild.builders.ReferenceSubBuilder method) print_objects() (in module sage.libs.ecl) print_options() (sage.rings.ring_extension.RingExtension_generic method) (sage.structure.indexed_generators.IndexedGenerators method) print_order() (in module sage.symbolic.expression) print_ranges() (sage.numerical.backends.glpk_backend.GLPKBackend method) print_sorted() (in module sage.symbolic.expression) print_state() (sage.dynamics.cellular_automata.elementary.ElementaryCellularAutomata method) (sage.dynamics.cellular_automata.solitons.SolitonCellularAutomata method) print_state_evolution() (sage.dynamics.cellular_automata.solitons.SolitonCellularAutomata method) print_states() (sage.dynamics.cellular_automata.elementary.ElementaryCellularAutomata method) (sage.dynamics.cellular_automata.glca.GraftalLaceCellularAutomata method) (sage.dynamics.cellular_automata.solitons.SolitonCellularAutomata method) print_strings() (sage.combinat.root_system.integrable_representations.IntegrableRepresentation method) print_table() (sage.logic.logic.SymbolicLogic method) print_to_stdout() (sage.repl.rich_output.output_basic.OutputAsciiArt method) (sage.repl.rich_output.output_basic.OutputLatex method) (sage.repl.rich_output.output_basic.OutputPlainText method) (sage.repl.rich_output.output_basic.OutputUnicodeArt method) (sage.repl.rich_output.test_backend.TestOutputPlainText method) (sage.typeset.symbols.CompoundSymbol method) print_triconnected_components() (sage.graphs.connectivity.TriconnectivitySPQR method) print_unincluded_modules() (sage_docbuild.builders.ReferenceSubBuilder method) print_values() (sage.modular.btquotients.pautomorphicform.BruhatTitsHarmonicCocycleElement method) printa() (sage.rings.number_field.totallyreal_data.tr_data method) printpath() (sage.doctest.sources.FileDocTestSource method) priority (sage.repl.interpreter.InterfaceShellTransformer attribute) (sage_docbuild.ext.sage_autodoc.AttributeDocumenter attribute) (sage_docbuild.ext.sage_autodoc.ClassDocumenter attribute) (sage_docbuild.ext.sage_autodoc.DataDocumenter attribute) (sage_docbuild.ext.sage_autodoc.DecoratorDocumenter attribute) (sage_docbuild.ext.sage_autodoc.Documenter attribute) (sage_docbuild.ext.sage_autodoc.ExceptionDocumenter attribute) (sage_docbuild.ext.sage_autodoc.MethodDocumenter attribute) (sage_docbuild.ext.sage_autodoc.PropertyDocumenter attribute) prism() (sage.geometry.polyhedron.base5.Polyhedron_base5 method) PrisonersDilemma() (in module sage.game_theory.catalog_normal_form_games) private_key() (sage.crypto.public_key.blum_goldwasser.BlumGoldwasser method) private_neighbors() (in module sage.graphs.domination) (sage.graphs.graph.Graph method) prm_mul() (in module sage.matrix.matrix_misc) prob() (sage.stats.hmm.distributions.Distribution method) (sage.stats.hmm.distributions.GaussianMixtureDistribution method) prob_m() (sage.stats.hmm.distributions.GaussianMixtureDistribution method) probability_of_at_most_t_errors() (sage.coding.channel.QarySymmetricChannel method) probability_of_exactly_t_errors() (sage.coding.channel.QarySymmetricChannel method) probability_space() (sage.probability.random_variable.RandomVariable_generic method) ProbabilityDistribution (class in sage.probability.probability_distribution) ProbabilitySpace_generic (class in sage.probability.random_variable) probable_hnf() (in module sage.matrix.matrix_integer_dense_hnf) probable_pivot_columns() (in module sage.matrix.matrix_integer_dense_hnf) probable_pivot_rows() (in module sage.matrix.matrix_integer_dense_hnf) probed_tags (sage.doctest.parsing.SageDocTestParser attribute) Problem (class in sage.geometry.polyhedron.double_description) problem() (sage.numerical.interactive_simplex_method.LPRevisedDictionary method) problem_name() (sage.numerical.backends.cvxopt_backend.CVXOPTBackend method) (sage.numerical.backends.generic_backend.GenericBackend method) (sage.numerical.backends.generic_sdp_backend.GenericSDPBackend method) (sage.numerical.backends.glpk_backend.GLPKBackend method) (sage.numerical.backends.interactivelp_backend.InteractiveLPBackend method) (sage.numerical.backends.logging_backend.LoggingBackend method) (sage.numerical.backends.ppl_backend.PPLBackend method) problem_type() (sage.numerical.interactive_simplex_method.InteractiveLPProblem method) proc_number() (in module sage.parallel.map_reduce) process() (sage.combinat.finite_state_machine.Automaton method) (sage.combinat.finite_state_machine.FiniteStateMachine method) (sage.combinat.finite_state_machine.Transducer method) (sage.libs.eclib.interface.mwrank_MordellWeil method) process_cubes() (sage.plot.plot3d.implicit_surface.MarchingCubesTriangles method) process_directives() (in module sage.misc.sagedoc_conf) process_doc() (sage_docbuild.ext.sage_autodoc.Documenter method) process_docstring_aliases() (in module sage.misc.sagedoc_conf) process_docstring_cython() (in module sage.misc.sagedoc_conf) process_docstring_module_title() (in module sage.misc.sagedoc_conf) process_dollars() (in module sage.misc.sagedoc) (in module sage.misc.sagedoc_conf) process_extlinks() (in module sage.misc.sagedoc) process_inherited() (in module sage.misc.sagedoc_conf) process_letter() (sage.combinat.words.suffix_trees.ImplicitSuffixTree method) (sage.combinat.words.suffix_trees.SuffixTrie method) process_mathtt() (in module sage.misc.sagedoc) process_optional_doctest_tags() (in module sage.misc.sagedoc) process_slice() (sage.plot.plot3d.implicit_surface.MarchingCubesTriangles method) prod() (in module sage.misc.misc_c) (sage.arith.multi_modular.MultiModularBasis_base method) (sage.categories.monoids.Monoids.ParentMethods method) (sage.categories.semigroups.Semigroups.ParentMethods method) (sage.misc.sage_input.SageInputBuilder method) (sage.modules.vector_double_dense.Vector_double_dense method) (sage.rings.lazy_series_ring.LazySeriesRing method) (sage.stats.intlist.IntList method) (sage.structure.factorization.Factorization method) (sage.symbolic.expression.Expression method) prod_of_row_sums() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) prod_with_derivative() (in module sage.rings.generic) produce_latex_macro() (in module sage.misc.latex_macros) product() (in module sage.combinat.gray_codes) (sage.algebras.free_algebra.PBWBasisOfFreeAlgebra method) (sage.algebras.shuffle_algebra.DualPBWBasis method) (sage.categories.examples.finite_monoids.IntegerModMonoid method) (sage.categories.examples.finite_semigroups.LeftRegularBand method) (sage.categories.examples.finite_weyl_groups.SymmetricGroup method) (sage.categories.examples.magmas.FreeMagma method) (sage.categories.examples.semigroups.FreeSemigroup method) (sage.categories.examples.semigroups.LeftZeroSemigroup method) (sage.categories.magmas.Magmas.CartesianProducts.ParentMethods method) (sage.categories.magmas.Magmas.ParentMethods method) (sage.categories.magmas.Magmas.Subquotients.ParentMethods method) (sage.categories.magmatic_algebras.MagmaticAlgebras.WithBasis.ParentMethods method) (sage.combinat.posets.posets.FinitePoset method) (sage.combinat.root_system.fundamental_group.FundamentalGroupGL method) (sage.combinat.root_system.fundamental_group.FundamentalGroupOfExtendedAffineWeylGroup_Class method) (sage.combinat.sf.dual.SymmetricFunctionAlgebra_dual method) (sage.combinat.sf.hall_littlewood.HallLittlewood_generic method) (sage.combinat.sf.jack.JackPolynomials_generic method) (sage.combinat.sf.jack.JackPolynomials_p method) (sage.combinat.sf.jack.JackPolynomials_qp method) (sage.combinat.sf.jack.SymmetricFunctionAlgebra_zonal method) (sage.combinat.sf.k_dual.KBoundedQuotientBases.ParentMethods method) (sage.combinat.sf.llt.LLT_generic method) (sage.combinat.sf.macdonald.MacdonaldPolynomials_generic method) (sage.combinat.sf.macdonald.MacdonaldPolynomials_s method) (sage.combinat.sf.monomial.SymmetricFunctionAlgebra_monomial method) (sage.combinat.sf.new_kschur.K_kSchur method) (sage.combinat.sf.orthotriang.SymmetricFunctionAlgebra_orthotriang method) (sage.combinat.species.species.GenericCombinatorialSpecies method) (sage.geometry.polyhedral_complex.PolyhedralComplex method) (sage.geometry.polyhedron.base5.Polyhedron_base5 method) (sage.groups.group_exp.GroupExp_Class method) (sage.groups.group_semidirect_product.GroupSemidirectProduct method) (sage.monoids.automatic_semigroup.AutomaticSemigroup method) (sage.topology.cell_complex.GenericCellComplex method) (sage.topology.cubical_complex.Cube method) (sage.topology.cubical_complex.CubicalComplex method) (sage.topology.delta_complex.DeltaComplex method) (sage.topology.moment_angle_complex.MomentAngleComplex method) (sage.topology.simplicial_complex.Simplex method) (sage.topology.simplicial_complex.SimplicialComplex method) (sage.topology.simplicial_set.SimplicialSet_arbitrary method) (sage.topology.simplicial_set_morphism.SimplicialSetMorphism method) product_by_coercion() (sage.categories.magmas.Magmas.Realizations.ParentMethods method) (sage.combinat.sf.sfa.SymmetricFunctionAlgebra_generic method) (sage.modules.with_basis.representation.Representation method) product_by_generator() (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra.T method) product_by_generator_on_basis() (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra.T method) product_code() (sage.coding.linear_code.AbstractLinearCode method) product_FiniteStateMachine() (sage.combinat.finite_state_machine.FiniteStateMachine method) product_from_element_class_mul() (sage.categories.magmas.Magmas.ParentMethods method) product_of_upper_cluster() (sage.combinat.cluster_complex.ClusterComplexFacet method) product_on_basis() (sage.algebras.affine_nil_temperley_lieb.AffineNilTemperleyLiebTypeA method) (sage.algebras.askey_wilson.AskeyWilsonAlgebra method) (sage.algebras.associated_graded.AssociatedGradedAlgebra method) (sage.algebras.cellular_basis.CellularBasis method) (sage.algebras.down_up_algebra.DownUpAlgebra method) (sage.algebras.finite_gca.FiniteGCAlgebra method) (sage.algebras.free_algebra.FreeAlgebra_generic method) (sage.algebras.fusion_rings.fusion_double.FusionDouble method) (sage.algebras.hall_algebra.HallAlgebra method) (sage.algebras.hall_algebra.HallAlgebraMonomials method) (sage.algebras.hecke_algebras.ariki_koike_algebra.ArikiKoikeAlgebra.LT method) (sage.algebras.hecke_algebras.ariki_koike_algebra.ArikiKoikeAlgebra.T method) (sage.algebras.hecke_algebras.cubic_hecke_algebra.CubicHeckeAlgebra method) (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra.Cp method) (sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra.T method) (sage.algebras.lie_algebras.center_uea.CenterUEA method) (sage.algebras.lie_algebras.onsager.QuantumOnsagerAlgebra method) (sage.algebras.lie_algebras.poincare_birkhoff_witt.PoincareBirkhoffWittBasis method) (sage.algebras.orlik_solomon.OrlikSolomonAlgebra method) (sage.algebras.orlik_terao.OrlikTeraoAlgebra method) (sage.algebras.q_commuting_polynomials.qCommutingLaurentPolynomials method) (sage.algebras.q_commuting_polynomials.qCommutingPolynomials method) (sage.algebras.quantum_clifford.QuantumCliffordAlgebraGeneric method) (sage.algebras.quantum_clifford.QuantumCliffordAlgebraRootUnity method) (sage.algebras.quantum_groups.ace_quantum_onsager.ACEQuantumOnsagerAlgebra method) (sage.algebras.quantum_matrix_coordinate_algebra.QuantumGL method) (sage.algebras.quantum_matrix_coordinate_algebra.QuantumMatrixCoordinateAlgebra_abstract method) (sage.algebras.quantum_oscillator.QuantumOscillatorAlgebra method) (sage.algebras.rational_cherednik_algebra.RationalCherednikAlgebra method) (sage.algebras.schur_algebra.SchurAlgebra method) (sage.algebras.shuffle_algebra.ShuffleAlgebra method) (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) (sage.algebras.tensor_algebra.TensorAlgebra method) (sage.algebras.yangian.GradedYangianNatural method) (sage.algebras.yangian.Yangian method) (sage.algebras.yokonuma_hecke_algebra.YokonumaHeckeAlgebra method) (sage.categories.additive_magmas.AdditiveMagmas.Algebras.ParentMethods method) (sage.categories.additive_semigroups.AdditiveSemigroups.Algebras.ParentMethods method) (sage.categories.algebras_with_basis.AlgebrasWithBasis.TensorProducts.ParentMethods method) (sage.categories.examples.algebras_with_basis.FreeAlgebra method) (sage.categories.examples.finite_dimensional_algebras_with_basis.KroneckerQuiverPathAlgebra method) (sage.categories.examples.graded_connected_hopf_algebras_with_basis.GradedConnectedCombinatorialHopfAlgebraWithPrimitiveGenerator method) (sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method) (sage.categories.examples.lie_algebras_with_basis.IndexedPolynomialRing method) (sage.categories.examples.with_realizations.SubsetAlgebra.Fundamental method) (sage.categories.graded_algebras_with_basis.GradedAlgebrasWithBasis.SignedTensorProducts.ParentMethods method) (sage.categories.magmatic_algebras.MagmaticAlgebras.WithBasis.ParentMethods method) (sage.categories.semigroups.Semigroups.Algebras.ParentMethods method) (sage.combinat.blob_algebra.BlobAlgebra method) (sage.combinat.chas.fsym.FreeSymmetricFunctions.Fundamental method) (sage.combinat.chas.fsym.FreeSymmetricFunctions_Dual.FundamentalDual method) (sage.combinat.chas.wqsym.WordQuasiSymmetricFunctions.Monomial method) (sage.combinat.chas.wqsym.WordQuasiSymmetricFunctions.StronglyCoarser method) (sage.combinat.chas.wqsym.WordQuasiSymmetricFunctions.StronglyFiner method) (sage.combinat.descent_algebra.DescentAlgebra.B method), [1] (sage.combinat.descent_algebra.DescentAlgebra.D method), [1] (sage.combinat.descent_algebra.DescentAlgebra.I method), [1] (sage.combinat.diagram_algebras.DiagramBasis method), [1] (sage.combinat.diagram_algebras.OrbitBasis method), [1] (sage.combinat.fqsym.FreeQuasisymmetricFunctions.F method) (sage.combinat.free_dendriform_algebra.FreeDendriformAlgebra method), [1] (sage.combinat.free_prelie_algebra.FreePreLieAlgebra method), [1] (sage.combinat.grossman_larson_algebras.GrossmanLarsonAlgebra method), [1] (sage.combinat.ncsf_qsym.ncsf.NonCommutativeSymmetricFunctions.MultiplicativeBases.ParentMethods method) (sage.combinat.ncsf_qsym.ncsf.NonCommutativeSymmetricFunctions.Ribbon method) (sage.combinat.ncsf_qsym.qsym.QuasiSymmetricFunctions.Essential method) (sage.combinat.ncsf_qsym.qsym.QuasiSymmetricFunctions.HazewinkelLambda method) (sage.combinat.ncsf_qsym.qsym.QuasiSymmetricFunctions.Monomial method) (sage.combinat.ncsym.bases.MultiplicativeNCSymBases.ParentMethods method) (sage.combinat.ncsym.dual.SymmetricFunctionsNonCommutingVariablesDual.w method) (sage.combinat.ncsym.ncsym.SymmetricFunctionsNonCommutingVariables.monomial method) (sage.combinat.partition_algebra.PartitionAlgebra_generic method), [1] (sage.combinat.partition_shifting_algebras.ShiftingOperatorAlgebra method) (sage.combinat.posets.incidence_algebras.IncidenceAlgebra method), [1] (sage.combinat.posets.moebius_algebra.MoebiusAlgebra.E method), [1] (sage.combinat.posets.moebius_algebra.MoebiusAlgebra.I method), [1] (sage.combinat.posets.moebius_algebra.MoebiusAlgebraBases.ParentMethods method), [1] (sage.combinat.posets.moebius_algebra.QuantumMoebiusAlgebra.E method), [1] (sage.combinat.root_system.weyl_characters.WeightRing method) (sage.combinat.root_system.weyl_characters.WeylCharacterRing method) (sage.combinat.schubert_polynomial.SchubertPolynomialRing_xbasis method) (sage.combinat.sf.multiplicative.SymmetricFunctionAlgebra_multiplicative method) (sage.combinat.sf.new_kschur.kSchur method) (sage.combinat.sf.schur.SymmetricFunctionAlgebra_schur method) (sage.combinat.symmetric_group_algebra.HeckeAlgebraSymmetricGroup_t method) (sage.homology.homology_vector_space_with_basis.CohomologyRing method) (sage.modular.multiple_zeta.Multizetas method) (sage.modular.multiple_zeta.Multizetas_iterated method) (sage.modules.with_basis.representation.Representation_ExteriorAlgebra method) (sage.rings.polynomial.integer_valued_polynomials.IntegerValuedPolynomialRing.Binomial method) (sage.rings.polynomial.integer_valued_polynomials.IntegerValuedPolynomialRing.Shifted method) product_on_basis_left() (sage.algebras.free_zinbiel_algebra.FreeZinbielAlgebra method) product_on_basis_right() (sage.algebras.free_zinbiel_algebra.FreeZinbielAlgebra method) product_on_gens() (sage.algebras.yangian.Yangian method) (sage.algebras.yangian.YangianLevel method) product_space() (sage.categories.finite_dimensional_lie_algebras_with_basis.FiniteDimensionalLieAlgebrasWithBasis.ParentMethods method) ProductOfChains() (sage.combinat.posets.poset_examples.Posets static method) ProductOfSimplicialSets (class in sage.topology.simplicial_set_constructions) ProductOfSimplicialSets_finite (class in sage.topology.simplicial_set_constructions) ProductProjectiveSpaces() (in module sage.schemes.product_projective.space) ProductProjectiveSpaces_field (class in sage.schemes.product_projective.space) ProductProjectiveSpaces_finite_field (class in sage.schemes.product_projective.space) ProductProjectiveSpaces_morphism_ring (class in sage.schemes.product_projective.morphism) ProductProjectiveSpaces_point_field (class in sage.schemes.product_projective.point) ProductProjectiveSpaces_point_finite_field (class in sage.schemes.product_projective.point) ProductProjectiveSpaces_point_ring (class in sage.schemes.product_projective.point) ProductProjectiveSpaces_ring (class in sage.schemes.product_projective.space) ProductSpecies (class in sage.combinat.species.product_species) ProductSpecies_class (in module sage.combinat.species.product_species) ProductSpeciesStructure (class in sage.combinat.species.product_species) ProductTree (class in sage.rings.generic) profile() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) (sage.categories.finite_permutation_groups.FinitePermutationGroups.ParentMethods method) (sage.combinat.constellation.Constellation_class method) (sage.modules.fp_graded.steenrod.module.SteenrodModuleMixin method) (sage.modules.fp_graded.steenrod.morphism.SteenrodFPModuleMorphism method) profile_polynomial() (sage.categories.finite_permutation_groups.FinitePermutationGroups.ParentMethods method) profile_series() (sage.categories.finite_permutation_groups.FinitePermutationGroups.ParentMethods method) Profiler (class in sage.misc.gperftools) (class in sage.misc.profiler) programs() (sage.databases.oeis.OEISSequence method) project() (sage.manifolds.differentiable.pseudo_riemannian_submanifold.PseudoRiemannianSubmanifold method) (sage.modules.with_basis.invariant.FiniteDimensionalTwistedInvariantModule method) project_ambient() (sage.modules.with_basis.invariant.FiniteDimensionalTwistedInvariantModule method) project_left() (sage.graphs.bipartite_graph.BipartiteGraph method) project_points() (in module sage.geometry.polyhedron.library) project_right() (sage.graphs.bipartite_graph.BipartiteGraph method) project_to_degree() (sage.schemes.toric.chow_group.ChowCycle method) project_to_factor() (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) projected_path() (sage.combinat.words.paths.FiniteWordPath_all method) projected_point_iterator() (sage.combinat.words.paths.FiniteWordPath_all method) Projection (class in sage.geometry.polyhedron.plot) projection() (sage.algebras.lie_algebras.onsager.OnsagerAlgebraACE method) (sage.categories.filtered_algebras_with_basis.FilteredAlgebrasWithBasis.ParentMethods method) (sage.categories.filtered_modules_with_basis.FilteredModulesWithBasis.ParentMethods method) (sage.combinat.crystals.alcove_path.InfinityCrystalOfAlcovePaths.Element method) (sage.combinat.finite_state_machine.FiniteStateMachine method) (sage.combinat.root_system.plot.PlotOptions method) (sage.combinat.root_system.root_lattice_realizations.RootLatticeRealizations.ParentMethods method) (sage.geometry.polyhedron.base6.Polyhedron_base6 method) (sage.manifolds.differentiable.degenerate_submanifold.DegenerateSubmanifold method) (sage.modular.abvar.abvar.ModularAbelianVariety_abstract method) (sage.modular.hecke.module.HeckeModule_free_module method) (sage.monoids.trace_monoid.TraceMonoidElement method) (sage.schemes.curves.affine_curve.AffineCurve_field method) (sage.schemes.curves.projective_curve.ProjectiveCurve method) projection_func_identity() (in module sage.geometry.polyhedron.plot) projection_linear_map (sage.geometry.convex_set.AffineHullProjectionData attribute) projection_lower_half() (in module sage.algebras.quantum_groups.quantum_group_gap) projection_map() (sage.topology.simplicial_set_constructions.ProductOfSimplicialSets_finite method) (sage.topology.simplicial_set_constructions.PullbackOfSimplicialSets_finite method) (sage.topology.simplicial_set_constructions.WedgeOfSimplicialSets_finite method) projection_matrix() (sage.modules.with_basis.invariant.FiniteDimensionalTwistedInvariantModule method) projection_translation (sage.geometry.convex_set.AffineHullProjectionData attribute) ProjectionFuncSchlegel (class in sage.geometry.polyhedron.plot) ProjectionFuncStereographic (class in sage.geometry.polyhedron.plot) projective() (sage.geometry.triangulation.base.Point method) (sage.quivers.path_semigroup.PathSemigroup method) (sage.schemes.curves.closed_point.IntegralAffineCurveClosedPoint method) projective_closure() (sage.schemes.affine.affine_subscheme.AlgebraicScheme_subscheme_affine method) (sage.schemes.curves.affine_curve.AffineCurve method) (sage.schemes.cyclic_covers.cycliccover_generic.CyclicCover_generic method) projective_cover() (sage.quivers.representation.QuiverRep_generic method) projective_degrees() (sage.schemes.projective.projective_morphism.SchemeMorphism_polynomial_projective_subscheme_field method) projective_embedding() (sage.schemes.affine.affine_space.AffineSpace_generic method) (sage.schemes.affine.affine_subscheme.AlgebraicScheme_subscheme_affine method) projective_fundamental_group() (sage.geometry.hyperplane_arrangement.ordered_arrangement.OrderedHyperplaneArrangementElement method) projective_index() (sage.modular.arithgroup.arithgroup_generic.ArithmeticSubgroup method) projective_meridians() (sage.geometry.hyperplane_arrangement.ordered_arrangement.OrderedHyperplaneArrangementElement method) projective_plane() (in module sage.combinat.designs.block_design) projective_plane_to_OA() (in module sage.combinat.designs.block_design) projective_point() (in module sage.schemes.elliptic_curves.constructor) ProjectiveConic_field (class in sage.schemes.plane_conics.con_field) ProjectiveConic_finite_field (class in sage.schemes.plane_conics.con_finite_field) ProjectiveConic_number_field (class in sage.schemes.plane_conics.con_number_field) ProjectiveConic_rational_field (class in sage.schemes.plane_conics.con_rational_field) ProjectiveConic_rational_function_field (class in sage.schemes.plane_conics.con_rational_function_field) ProjectiveCurve (class in sage.schemes.curves.projective_curve) ProjectiveCurve_field (class in sage.schemes.curves.projective_curve) ProjectiveCurvePoint_field (class in sage.schemes.curves.point) ProjectiveGeometryDesign() (in module sage.combinat.designs.block_design) ProjectiveHypersurface (class in sage.schemes.generic.hypersurface) ProjectivePlane() (in module sage.topology.simplicial_complex_examples) ProjectivePlaneCurve (class in sage.schemes.curves.projective_curve) ProjectivePlaneCurve_field (class in sage.schemes.curves.projective_curve) ProjectivePlaneCurve_finite_field (class in sage.schemes.curves.projective_curve) ProjectivePlaneCurveArrangementElement (class in sage.schemes.curves.plane_curve_arrangement) ProjectivePlaneCurveArrangements (class in sage.schemes.curves.plane_curve_arrangement) ProjectivePlaneCurvePoint_field (class in sage.schemes.curves.point) ProjectivePlaneCurvePoint_finite_field (class in sage.schemes.curves.point) projectives() (sage.quivers.ar_quiver.AuslanderReitenQuiver method) ProjectiveSpace() (in module sage.schemes.projective.projective_space) ProjectiveSpace_field (class in sage.schemes.projective.projective_space) ProjectiveSpace_finite_field (class in sage.schemes.projective.projective_space) ProjectiveSpace_rational_field (class in sage.schemes.projective.projective_space) ProjectiveSpace_ring (class in sage.schemes.projective.projective_space) projector() (sage.manifolds.differentiable.pseudo_riemannian_submanifold.PseudoRiemannianSubmanifold method) promotion() (sage.combinat.affine_permutation.AffinePermutationTypeA method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_A method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_E6 method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_spin method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_vertical method) (sage.combinat.crystals.tensor_product_element.CrystalOfTableauxElement method) (sage.combinat.path_tableaux.path_tableau.PathTableau method) (sage.combinat.posets.linear_extensions.LinearExtensionOfPoset method) (sage.combinat.posets.posets.FinitePoset method) (sage.combinat.tableau.StandardTableau method) (sage.combinat.tableau.Tableau method) promotion_inverse() (sage.combinat.crystals.kirillov_reshetikhin.KR_type_A method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_E6 method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_spin method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_vertical method) (sage.combinat.crystals.tensor_product_element.CrystalOfTableauxElement method) (sage.combinat.tableau.StandardTableau method) (sage.combinat.tableau.Tableau method) promotion_on_highest_weight_vector() (sage.combinat.crystals.kirillov_reshetikhin.KR_type_vertical method) promotion_on_highest_weight_vectors() (sage.combinat.crystals.kirillov_reshetikhin.KR_type_E6 method) (sage.combinat.crystals.kirillov_reshetikhin.KR_type_spin method) promotion_on_highest_weight_vectors_function() (sage.combinat.crystals.kirillov_reshetikhin.KR_type_E6 method) promotion_on_highest_weight_vectors_inverse() (sage.combinat.crystals.kirillov_reshetikhin.KR_type_spin method) promotion_operator() (sage.combinat.tableau.Tableau method) prompt_for_code() (sage.repl.interpreter.SageTerminalInteractiveShell method) proof_flag() (in module sage.rings.number_field.number_field) propagating_number() (in module sage.combinat.diagram_algebras), [1] (in module sage.combinat.partition_algebra), [1] (sage.combinat.diagram_algebras.AbstractPartitionDiagram method), [1] PropagatingIdeal (class in sage.combinat.diagram_algebras), [1] PropagatingIdeal.Element (class in sage.combinat.diagram_algebras), [1] properties() (sage.combinat.cluster_algebra_quiver.quiver_mutation_type.QuiverMutationType_abstract method) properties_raw() (sage.databases.findstat.FindStatMap method) Property (class in sage.repl.rich_output.preferences) PropertyDocumenter (class in sage_docbuild.ext.sage_autodoc) PROTO() (sage.misc.explain_pickle.PickleExplainer method) prove() (sage.logic.logic.SymbolicLogic method) prove_BSD() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) prune() (sage.combinat.binary_tree.BinaryTree method) (sage.topology.filtered_simplicial_complex.FilteredSimplicialComplex method) pruned_tree() (in module sage.graphs.generators.random) ps_modsym_from_elliptic_curve() (in module sage.modular.pollack_stevens.space) ps_modsym_from_simple_modsym_space() (in module sage.modular.pollack_stevens.space) PS_represent() (in module sage.groups.perm_gps.partn_ref.data_structures) PSage (class in sage.interfaces.psage) PSageElement (class in sage.interfaces.psage) pSelmerGroup() (in module sage.rings.number_field.selmer_group) pseudo_div() (sage.libs.flint.fmpz_poly_sage.Fmpz_poly method) pseudo_div_rem() (sage.libs.flint.fmpz_poly_sage.Fmpz_poly method) pseudo_divrem() (sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint method) pseudo_order() (sage.categories.finite_monoids.FiniteMonoids.ElementMethods method) pseudo_partition_graph() (in module sage.graphs.generators.distance_regular) pseudo_quo_rem() (sage.rings.polynomial.polynomial_element.Polynomial method) pseudocomplement() (sage.combinat.posets.hasse_diagram.HasseDiagram method) (sage.combinat.posets.lattices.FiniteMeetSemilattice method) PseudoConwayLattice (class in sage.rings.finite_rings.conway_polynomials) pseudoinverse() (in module sage.rings.polynomial.real_roots) (sage.matrix.matrix2.Matrix method) PseudolineArrangement (class in sage.geometry.pseudolines) pseudorandom_primitive_zero_mod_p() (in module sage.quadratic_forms.ternary) (sage.quadratic_forms.ternary_qf.TernaryQF method) PseudoRiemannianManifold (class in sage.manifolds.differentiable.pseudo_riemannian) PseudoRiemannianMetric (class in sage.manifolds.differentiable.metric) PseudoRiemannianMetricParal (class in sage.manifolds.differentiable.metric) PseudoRiemannianStructure (class in sage.manifolds.structure) PseudoRiemannianSubmanifold (class in sage.manifolds.differentiable.pseudo_riemannian_submanifold) pseudoscalar() (sage.algebras.clifford_algebra.CliffordAlgebra method) Psi() (in module sage.matroids.database_matroids) psi() (in module sage.modular.modsym.p1list_nf) Psi() (in module sage.schemes.elliptic_curves.isogeny_small_degree) psi() (sage.dynamics.arithmetic_dynamics.wehlerK3.WehlerK3Surface_ring method) (sage.modular.modform.element.EisensteinSeries method) (sage.rings.complex_arb.ComplexBall method) (sage.rings.real_arb.RealBall method) (sage.rings.real_mpfi.RealIntervalFieldElement method) (sage.rings.valuation.augmented_valuation.AugmentedValuation_base method) (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method) Psi2() (in module sage.schemes.elliptic_curves.isogeny_small_degree) psi_involution() (sage.combinat.fqsym.FQSymBases.ElementMethods method) (sage.combinat.ncsf_qsym.ncsf.NonCommutativeSymmetricFunctions.Bases.ElementMethods method) (sage.combinat.ncsf_qsym.ncsf.NonCommutativeSymmetricFunctions.Complete.Element method) (sage.combinat.ncsf_qsym.ncsf.NonCommutativeSymmetricFunctions.Elementary.Element method) (sage.combinat.ncsf_qsym.ncsf.NonCommutativeSymmetricFunctions.Phi.Element method) (sage.combinat.ncsf_qsym.qsym.QuasiSymmetricFunctions.Bases.ElementMethods method) (sage.combinat.ncsf_qsym.qsym.QuasiSymmetricFunctions.Monomial.Element method) PSL (class in sage.groups.perm_gps.permgroup_named) PSModSymAction (class in sage.modular.pollack_stevens.modsym) PSModularSymbolElement (class in sage.modular.pollack_stevens.modsym) PSModularSymbolElement_dist (class in sage.modular.pollack_stevens.modsym) PSModularSymbolElement_symk (class in sage.modular.pollack_stevens.modsym) PSp (class in sage.groups.perm_gps.permgroup_named) PSP (in module sage.groups.perm_gps.permgroup_named) PSpline (class in sage.calculus.interpolators) pst() (sage.algebras.steenrod.steenrod_algebra.SteenrodAlgebra_generic method) pst_mono_to_string() (in module sage.algebras.steenrod.steenrod_algebra_misc) PSU (class in sage.groups.perm_gps.permgroup_named) pth_power() (sage.rings.algebraic_closure_finite_field.AlgebraicClosureFiniteFieldElement method) (sage.rings.derivation.RingDerivationWithoutTwist method) (sage.rings.finite_rings.element_base.FinitePolyExtElement method) (sage.rings.finite_rings.element_pari_ffelt.FiniteFieldElement_pari_ffelt method) pth_root() (sage.rings.algebraic_closure_finite_field.AlgebraicClosureFiniteFieldElement method) (sage.rings.finite_rings.element_base.FinitePolyExtElement method) pthpowers() (sage.combinat.binary_recurrence_sequences.BinaryRecurrenceSequence method) public_key() (sage.crypto.public_key.blum_goldwasser.BlumGoldwasser method) PublicKeyCipher (class in sage.crypto.cipher) PublicKeyCryptosystem (class in sage.crypto.cryptosystem) PuiseuxSeries (class in sage.rings.puiseux_series_ring_element) PuiseuxSeriesRing (class in sage.rings.puiseux_series_ring) pull_from_function_field() (sage.schemes.curves.affine_curve.IntegralAffineCurve method) (sage.schemes.curves.projective_curve.IntegralProjectiveCurve method) pullback() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method), [1] (sage.manifolds.chart.Chart method) (sage.manifolds.continuous_map.ContinuousMap method) (sage.manifolds.differentiable.diff_map.DiffMap method) (sage.manifolds.scalarfield.ScalarField method) (sage.topology.simplicial_set.SimplicialSet_arbitrary method) (sage.topology.simplicial_set_morphism.SimplicialSetMorphism method) pullback_divisor() (sage.schemes.toric.morphism.SchemeMorphism_fan_fiber_component_toric_variety method) (sage.schemes.toric.morphism.SchemeMorphism_fan_toric_variety method) (sage.schemes.toric.morphism.SchemeMorphism_orbit_closure_toric_variety method) PullbackOfSimplicialSets (class in sage.topology.simplicial_set_constructions) PullbackOfSimplicialSets_finite (class in sage.topology.simplicial_set_constructions) punctured() (sage.coding.linear_code.AbstractLinearCode method) punctured_positions() (sage.coding.punctured_code.PuncturedCode method) PuncturedCode (class in sage.coding.punctured_code) PuncturedCodeOriginalCodeDecoder (class in sage.coding.punctured_code) PuncturedCodePuncturedMatrixEncoder (class in sage.coding.punctured_code) pure_conjugating_braid() (sage.groups.braid.Braid method) PureCactusGroup (class in sage.groups.cactus_group) push() (sage.misc.explain_pickle.PickleExplainer method) (sage.repl.preparse.QuoteStack method) push_and_share() (sage.misc.explain_pickle.PickleExplainer method) push_mark() (sage.misc.explain_pickle.PickleExplainer method) push_transform() (sage.plot.plot3d.base.RenderParams method) pushforward() (sage.algebras.quatalg.quaternion_algebra.QuaternionFractionalIdeal_rational method), [1] (sage.categories.morphism.Morphism method) (sage.groups.libgap_morphism.GroupMorphism_libgap method) (sage.manifolds.differentiable.diff_map.DiffMap method) (sage.modules.free_module_morphism.FreeModuleMorphism method) (sage.rings.morphism.RingHomomorphism method) pushing_triangulation() (sage.geometry.triangulation.point_configuration.PointConfiguration method) pushout() (in module sage.categories.pushout), [1] (sage.categories.pushout.ConstructionFunctor method), [1] (sage.topology.simplicial_set.SimplicialSet_arbitrary method) (sage.topology.simplicial_set_morphism.SimplicialSetMorphism method) pushout_lattice() (in module sage.categories.pushout), [1] PushoutOfSimplicialSets (class in sage.topology.simplicial_set_constructions) PushoutOfSimplicialSets_finite (class in sage.topology.simplicial_set_constructions) pushover() (in module sage.misc.messaging) PUT() (sage.misc.explain_pickle.PickleExplainer method) put_in_canonical_form() (sage.coding.binary_code.BinaryCodeClassifier method) put_in_front() (sage.combinat.root_system.braid_move_calculator.BraidMoveCalculator method) put_in_std_form() (sage.coding.binary_code.BinaryCode method) put_natural_embedding_first() (in module sage.rings.number_field.number_field) puzzle_pieces() (sage.combinat.knutson_tao_puzzles.KnutsonTaoPuzzleSolver method) PuzzleFilling (class in sage.combinat.knutson_tao_puzzles) PuzzlePiece (class in sage.combinat.knutson_tao_puzzles) PuzzlePieces (class in sage.combinat.knutson_tao_puzzles) PvW0() (sage.combinat.root_system.extended_affine_weyl_group.ExtendedAffineWeylGroup_Class method) PW0() (sage.combinat.root_system.extended_affine_weyl_group.ExtendedAffineWeylGroup_Class method) PW0_to_WF_func() (sage.combinat.root_system.extended_affine_weyl_group.ExtendedAffineWeylGroup_Class method) pwitt() (in module sage.algebras.lie_algebras.examples) py_atan2_for_doctests() (in module sage.symbolic.expression) py_denom_for_doctests() (in module sage.symbolic.expression) py_eval_infinity_for_doctests() (in module sage.symbolic.expression) py_eval_neg_infinity_for_doctests() (in module sage.symbolic.expression) py_eval_unsigned_infinity_for_doctests() (in module sage.symbolic.expression) py_exp_for_doctests() (in module sage.symbolic.expression) py_ext_sig_re (in module sage_docbuild.ext.sage_autodoc) py_factorial_py() (in module sage.symbolic.expression) py_float_for_doctests() (in module sage.symbolic.expression) py_imag_for_doctests() (in module sage.symbolic.expression) py_is_cinteger_for_doctest() (in module sage.symbolic.expression) py_is_crational_for_doctest() (in module sage.symbolic.expression) py_is_integer_for_doctests() (in module sage.symbolic.expression) py_latex_fderivative_for_doctests() (in module sage.symbolic.expression) py_latex_function_pystring() (in module sage.symbolic.expression) py_latex_variable_for_doctests() (in module sage.symbolic.expression) py_lgamma_for_doctests() (in module sage.symbolic.expression) py_li2_for_doctests() (in module sage.symbolic.expression) py_li_for_doctests() (in module sage.symbolic.expression) py_log_for_doctests() (in module sage.symbolic.expression) py_mod_for_doctests() (in module sage.symbolic.expression) py_numer_for_doctests() (in module sage.symbolic.expression) py_print_fderivative_for_doctests() (in module sage.symbolic.expression) py_print_function_pystring() (in module sage.symbolic.expression) py_psi2_for_doctests() (in module sage.symbolic.expression) py_psi_for_doctests() (in module sage.symbolic.expression) py_real_for_doctests() (in module sage.symbolic.expression) py_scalar_parent() (in module sage.structure.coerce) py_scalar_to_element() (in module sage.structure.coerce) py_stieltjes_for_doctests() (in module sage.symbolic.expression) py_tgamma_for_doctests() (in module sage.symbolic.expression) py_zeta_for_doctests() (in module sage.symbolic.expression) PyFunctionWrapper (class in sage.calculus.integration) (class in sage.calculus.ode) PynacConstant (class in sage.symbolic.expression) PyNormaliz (class in sage.features.normaliz) pyobject() (sage.symbolic.expression.Expression method) (sage.symbolic.expression_conversions.Converter method) (sage.symbolic.expression_conversions.ExpressionTreeWalker method) (sage.symbolic.expression_conversions.FakeExpression method) (sage.symbolic.expression_conversions.FastCallableConverter method) (sage.symbolic.expression_conversions.FriCASConverter method) (sage.symbolic.expression_conversions.InterfaceInit method) (sage.symbolic.expression_conversions.PolynomialConverter method) (sage.symbolic.expression_conversions.RingConverter method) pyobject_to_max() (in module sage.interfaces.maxima_lib) pyprocessing() (in module sage.parallel.multiprocessing_sage) pyramid() (sage.geometry.polyhedron.base5.Polyhedron_base5 method) (sage.geometry.polyhedron.combinatorial_polyhedron.base.CombinatorialPolyhedron method) (sage.geometry.polyhedron.combinatorial_polyhedron.list_of_faces.ListOfFaces method) pyramid_weight() (sage.combinat.dyck_word.DyckWord_complete method) PyScalarAction (class in sage.structure.coerce_actions) Python (class in sage.misc.python) Python Enhancement Proposals PEP 263 PEP 3127 PEP 3141 python() (sage.libs.ecl.EclObject method) python_calls() (sage.ext.fast_callable.Wrapper method) python_random() (sage.misc.randstate.randstate method) PythonModule (class in sage.features) PythonObjectWithTests (class in sage.misc.sage_unittest) PythonSource (class in sage.doctest.sources)