Python Module Index a | c | d | e | f | g | h | i | k | l | m | n | p | q | r | s | t a sage.algebras sage.algebras.affine_nil_temperley_lieb sage.algebras.askey_wilson sage.algebras.associated_graded sage.algebras.catalog sage.algebras.cellular_basis sage.algebras.clifford_algebra sage.algebras.cluster_algebra sage.algebras.commutative_dga sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_element sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_ideal sage.algebras.finite_dimensional_algebras.finite_dimensional_algebra_morphism sage.algebras.finite_gca sage.algebras.free_algebra sage.algebras.free_algebra_element sage.algebras.free_algebra_quotient sage.algebras.free_algebra_quotient_element sage.algebras.free_zinbiel_algebra sage.algebras.fusion_rings.f_matrix sage.algebras.fusion_rings.fast_parallel_fmats_methods sage.algebras.fusion_rings.fast_parallel_fusion_ring_braid_repn sage.algebras.fusion_rings.fusion_ring sage.algebras.fusion_rings.poly_tup_engine sage.algebras.fusion_rings.shm_managers sage.algebras.group_algebra sage.algebras.hall_algebra sage.algebras.hecke_algebras.ariki_koike_algebra sage.algebras.hecke_algebras.cubic_hecke_algebra sage.algebras.hecke_algebras.cubic_hecke_base_ring sage.algebras.hecke_algebras.cubic_hecke_matrix_rep sage.algebras.iwahori_hecke_algebra sage.algebras.jordan_algebra sage.algebras.letterplace.free_algebra_element_letterplace sage.algebras.letterplace.free_algebra_letterplace sage.algebras.letterplace.letterplace_ideal sage.algebras.lie_algebras.abelian sage.algebras.lie_algebras.affine_lie_algebra sage.algebras.lie_algebras.bch sage.algebras.lie_algebras.classical_lie_algebra sage.algebras.lie_algebras.examples sage.algebras.lie_algebras.free_lie_algebra sage.algebras.lie_algebras.heisenberg sage.algebras.lie_algebras.lie_algebra sage.algebras.lie_algebras.lie_algebra_element sage.algebras.lie_algebras.morphism sage.algebras.lie_algebras.nilpotent_lie_algebra sage.algebras.lie_algebras.onsager sage.algebras.lie_algebras.poincare_birkhoff_witt sage.algebras.lie_algebras.quotient sage.algebras.lie_algebras.rank_two_heisenberg_virasoro sage.algebras.lie_algebras.structure_coefficients sage.algebras.lie_algebras.subalgebra sage.algebras.lie_algebras.symplectic_derivation sage.algebras.lie_algebras.verma_module sage.algebras.lie_algebras.virasoro sage.algebras.lie_conformal_algebras.abelian_lie_conformal_algebra sage.algebras.lie_conformal_algebras.affine_lie_conformal_algebra sage.algebras.lie_conformal_algebras.bosonic_ghosts_lie_conformal_algebra sage.algebras.lie_conformal_algebras.examples sage.algebras.lie_conformal_algebras.fermionic_ghosts_lie_conformal_algebra sage.algebras.lie_conformal_algebras.finitely_freely_generated_lca sage.algebras.lie_conformal_algebras.free_bosons_lie_conformal_algebra sage.algebras.lie_conformal_algebras.free_fermions_lie_conformal_algebra sage.algebras.lie_conformal_algebras.freely_generated_lie_conformal_algebra sage.algebras.lie_conformal_algebras.graded_lie_conformal_algebra sage.algebras.lie_conformal_algebras.lie_conformal_algebra sage.algebras.lie_conformal_algebras.lie_conformal_algebra_element sage.algebras.lie_conformal_algebras.lie_conformal_algebra_with_basis sage.algebras.lie_conformal_algebras.lie_conformal_algebra_with_structure_coefs sage.algebras.lie_conformal_algebras.n2_lie_conformal_algebra sage.algebras.lie_conformal_algebras.neveu_schwarz_lie_conformal_algebra sage.algebras.lie_conformal_algebras.virasoro_lie_conformal_algebra sage.algebras.lie_conformal_algebras.weyl_lie_conformal_algebra sage.algebras.nil_coxeter_algebra sage.algebras.orlik_solomon sage.algebras.orlik_terao sage.algebras.q_commuting_polynomials sage.algebras.q_system sage.algebras.quantum_clifford sage.algebras.quantum_groups.ace_quantum_onsager sage.algebras.quantum_groups.fock_space sage.algebras.quantum_groups.q_numbers sage.algebras.quantum_groups.quantum_group_gap sage.algebras.quantum_groups.representations sage.algebras.quantum_matrix_coordinate_algebra sage.algebras.quatalg.quaternion_algebra sage.algebras.quatalg.quaternion_algebra_element sage.algebras.rational_cherednik_algebra sage.algebras.schur_algebra sage.algebras.shuffle_algebra sage.algebras.splitting_algebra sage.algebras.steenrod.steenrod_algebra sage.algebras.steenrod.steenrod_algebra_bases sage.algebras.steenrod.steenrod_algebra_misc sage.algebras.steenrod.steenrod_algebra_mult sage.algebras.tensor_algebra sage.algebras.weyl_algebra sage.algebras.yangian sage.algebras.yokonuma_hecke_algebra sage.arith sage.arith.functions sage.arith.misc sage.arith.multi_modular sage.arith.power sage.arith.srange c sage.calculus sage.calculus.calculus sage.calculus.desolvers sage.calculus.functional sage.calculus.functions sage.calculus.integration sage.calculus.interpolation sage.calculus.interpolators sage.calculus.ode sage.calculus.riemann sage.calculus.test_sympy sage.calculus.tests sage.calculus.transforms.dft sage.calculus.transforms.dwt sage.calculus.transforms.fft sage.calculus.var sage.calculus.wester sage.categories sage.categories.action sage.categories.additive_groups sage.categories.additive_magmas sage.categories.additive_monoids sage.categories.additive_semigroups sage.categories.affine_weyl_groups sage.categories.algebra_functor sage.categories.algebra_ideals sage.categories.algebra_modules sage.categories.algebras sage.categories.algebras_with_basis sage.categories.all sage.categories.aperiodic_semigroups sage.categories.associative_algebras sage.categories.bialgebras sage.categories.bialgebras_with_basis sage.categories.bimodules sage.categories.cartesian_product sage.categories.category sage.categories.category_cy_helper sage.categories.category_singleton sage.categories.category_types sage.categories.category_with_axiom sage.categories.classical_crystals sage.categories.coalgebras sage.categories.coalgebras_with_basis sage.categories.coercion_methods sage.categories.commutative_additive_groups sage.categories.commutative_additive_monoids sage.categories.commutative_additive_semigroups sage.categories.commutative_algebra_ideals sage.categories.commutative_algebras sage.categories.commutative_ring_ideals sage.categories.commutative_rings sage.categories.complete_discrete_valuation sage.categories.complex_reflection_groups sage.categories.complex_reflection_or_generalized_coxeter_groups sage.categories.covariant_functorial_construction sage.categories.coxeter_group_algebras sage.categories.coxeter_groups sage.categories.crystals sage.categories.cw_complexes sage.categories.discrete_valuation sage.categories.distributive_magmas_and_additive_magmas sage.categories.division_rings sage.categories.domains sage.categories.dual sage.categories.enumerated_sets sage.categories.euclidean_domains sage.categories.examples.algebras_with_basis sage.categories.examples.commutative_additive_monoids sage.categories.examples.commutative_additive_semigroups sage.categories.examples.coxeter_groups sage.categories.examples.crystals sage.categories.examples.cw_complexes sage.categories.examples.facade_sets sage.categories.examples.finite_coxeter_groups sage.categories.examples.finite_dimensional_algebras_with_basis sage.categories.examples.finite_dimensional_lie_algebras_with_basis sage.categories.examples.finite_enumerated_sets sage.categories.examples.finite_monoids sage.categories.examples.finite_semigroups sage.categories.examples.finite_weyl_groups sage.categories.examples.graded_connected_hopf_algebras_with_basis sage.categories.examples.graded_modules_with_basis sage.categories.examples.graphs sage.categories.examples.hopf_algebras_with_basis sage.categories.examples.infinite_enumerated_sets sage.categories.examples.lie_algebras sage.categories.examples.lie_algebras_with_basis sage.categories.examples.magmas sage.categories.examples.manifolds sage.categories.examples.monoids sage.categories.examples.posets sage.categories.examples.semigroups sage.categories.examples.semigroups_cython sage.categories.examples.sets_cat sage.categories.examples.sets_with_grading sage.categories.examples.with_realizations sage.categories.facade_sets sage.categories.fields sage.categories.filtered_algebras sage.categories.filtered_algebras_with_basis sage.categories.filtered_modules sage.categories.filtered_modules_with_basis sage.categories.finite_complex_reflection_groups sage.categories.finite_coxeter_groups sage.categories.finite_crystals sage.categories.finite_dimensional_algebras_with_basis sage.categories.finite_dimensional_bialgebras_with_basis sage.categories.finite_dimensional_coalgebras_with_basis sage.categories.finite_dimensional_graded_lie_algebras_with_basis sage.categories.finite_dimensional_hopf_algebras_with_basis sage.categories.finite_dimensional_lie_algebras_with_basis sage.categories.finite_dimensional_modules_with_basis sage.categories.finite_dimensional_nilpotent_lie_algebras_with_basis sage.categories.finite_dimensional_semisimple_algebras_with_basis sage.categories.finite_enumerated_sets sage.categories.finite_fields sage.categories.finite_groups sage.categories.finite_lattice_posets sage.categories.finite_monoids sage.categories.finite_permutation_groups sage.categories.finite_posets sage.categories.finite_semigroups sage.categories.finite_sets sage.categories.finite_weyl_groups sage.categories.finitely_generated_lambda_bracket_algebras sage.categories.finitely_generated_lie_conformal_algebras sage.categories.finitely_generated_magmas sage.categories.finitely_generated_semigroups sage.categories.function_fields sage.categories.functor sage.categories.g_sets sage.categories.gcd_domains sage.categories.generalized_coxeter_groups sage.categories.graded_algebras sage.categories.graded_algebras_with_basis sage.categories.graded_bialgebras sage.categories.graded_bialgebras_with_basis sage.categories.graded_coalgebras sage.categories.graded_coalgebras_with_basis sage.categories.graded_hopf_algebras sage.categories.graded_hopf_algebras_with_basis sage.categories.graded_lie_algebras sage.categories.graded_lie_algebras_with_basis sage.categories.graded_lie_conformal_algebras sage.categories.graded_modules sage.categories.graded_modules_with_basis sage.categories.graphs sage.categories.group_algebras sage.categories.groupoid sage.categories.groups sage.categories.h_trivial_semigroups sage.categories.hecke_modules sage.categories.highest_weight_crystals sage.categories.homset sage.categories.homsets sage.categories.hopf_algebras sage.categories.hopf_algebras_with_basis sage.categories.infinite_enumerated_sets sage.categories.integral_domains sage.categories.isomorphic_objects sage.categories.j_trivial_semigroups sage.categories.kac_moody_algebras sage.categories.l_trivial_semigroups sage.categories.lambda_bracket_algebras sage.categories.lambda_bracket_algebras_with_basis sage.categories.lattice_posets sage.categories.left_modules sage.categories.lie_algebras sage.categories.lie_algebras_with_basis sage.categories.lie_conformal_algebras sage.categories.lie_conformal_algebras_with_basis sage.categories.lie_groups sage.categories.loop_crystals sage.categories.magmas sage.categories.magmas_and_additive_magmas sage.categories.magmatic_algebras sage.categories.manifolds sage.categories.map sage.categories.matrix_algebras sage.categories.metric_spaces sage.categories.modular_abelian_varieties sage.categories.modules sage.categories.modules_with_basis sage.categories.monoid_algebras sage.categories.monoids sage.categories.morphism sage.categories.number_fields sage.categories.objects sage.categories.partially_ordered_monoids sage.categories.permutation_groups sage.categories.pointed_sets sage.categories.polyhedra sage.categories.poor_man_map sage.categories.posets sage.categories.primer sage.categories.principal_ideal_domains sage.categories.pushout sage.categories.quantum_group_representations sage.categories.quotient_fields sage.categories.quotients sage.categories.r_trivial_semigroups sage.categories.realizations sage.categories.regular_crystals sage.categories.regular_supercrystals sage.categories.right_modules sage.categories.ring_ideals sage.categories.rings sage.categories.rngs sage.categories.schemes sage.categories.semigroups sage.categories.semirings sage.categories.semisimple_algebras sage.categories.sets_cat sage.categories.sets_with_grading sage.categories.sets_with_partial_maps sage.categories.shephard_groups sage.categories.signed_tensor sage.categories.simplicial_complexes sage.categories.simplicial_sets sage.categories.subobjects sage.categories.subquotients sage.categories.super_algebras sage.categories.super_algebras_with_basis sage.categories.super_hopf_algebras_with_basis sage.categories.super_lie_conformal_algebras sage.categories.super_modules sage.categories.super_modules_with_basis sage.categories.supercommutative_algebras sage.categories.supercrystals sage.categories.tensor sage.categories.topological_spaces sage.categories.triangular_kac_moody_algebras sage.categories.tutorial sage.categories.unique_factorization_domains sage.categories.unital_algebras sage.categories.vector_bundles sage.categories.vector_spaces sage.categories.weyl_groups sage.categories.with_realizations sage.coding sage.coding.abstract_code sage.coding.ag_code sage.coding.ag_code_decoders sage.coding.bch_code sage.coding.binary_code sage.coding.bounds_catalog sage.coding.channel sage.coding.channels_catalog sage.coding.code_bounds sage.coding.code_constructions sage.coding.codecan.autgroup_can_label sage.coding.codecan.codecan sage.coding.codes_catalog sage.coding.cyclic_code sage.coding.databases sage.coding.decoder sage.coding.decoders_catalog sage.coding.delsarte_bounds sage.coding.encoder sage.coding.encoders_catalog sage.coding.extended_code sage.coding.golay_code sage.coding.goppa_code sage.coding.grs_code sage.coding.guava sage.coding.guruswami_sudan.gs_decoder sage.coding.guruswami_sudan.interpolation sage.coding.guruswami_sudan.utils sage.coding.hamming_code sage.coding.information_set_decoder sage.coding.kasami_codes sage.coding.linear_code sage.coding.linear_code_no_metric sage.coding.linear_rank_metric sage.coding.parity_check_code sage.coding.punctured_code sage.coding.reed_muller_code sage.coding.self_dual_codes sage.coding.source_coding.huffman sage.coding.subfield_subcode sage.coding.two_weight_db sage.combinat sage.combinat.abstract_tree sage.combinat.affine_permutation sage.combinat.algebraic_combinatorics sage.combinat.all sage.combinat.alternating_sign_matrix sage.combinat.backtrack sage.combinat.baxter_permutations sage.combinat.binary_recurrence_sequences sage.combinat.binary_tree sage.combinat.blob_algebra sage.combinat.cartesian_product sage.combinat.catalog_partitions sage.combinat.chas.all sage.combinat.chas.fsym sage.combinat.chas.wqsym sage.combinat.cluster_algebra_quiver.all sage.combinat.cluster_algebra_quiver.cluster_seed sage.combinat.cluster_algebra_quiver.mutation_class sage.combinat.cluster_algebra_quiver.mutation_type sage.combinat.cluster_algebra_quiver.quiver sage.combinat.cluster_algebra_quiver.quiver_mutation_type sage.combinat.cluster_complex sage.combinat.colored_permutations sage.combinat.combinat sage.combinat.combinat_cython sage.combinat.combination sage.combinat.combinatorial_map sage.combinat.composition sage.combinat.composition_signed sage.combinat.composition_tableau sage.combinat.constellation sage.combinat.core sage.combinat.counting sage.combinat.crystals.affine sage.combinat.crystals.affine_factorization sage.combinat.crystals.affinization sage.combinat.crystals.alcove_path sage.combinat.crystals.all sage.combinat.crystals.bkk_crystals sage.combinat.crystals.catalog sage.combinat.crystals.catalog_elementary_crystals sage.combinat.crystals.catalog_infinity_crystals sage.combinat.crystals.catalog_kirillov_reshetikhin sage.combinat.crystals.crystals sage.combinat.crystals.direct_sum sage.combinat.crystals.elementary_crystals sage.combinat.crystals.fast_crystals sage.combinat.crystals.fully_commutative_stable_grothendieck sage.combinat.crystals.generalized_young_walls sage.combinat.crystals.highest_weight_crystals sage.combinat.crystals.induced_structure sage.combinat.crystals.infinity_crystals sage.combinat.crystals.kac_modules sage.combinat.crystals.kirillov_reshetikhin sage.combinat.crystals.kyoto_path_model sage.combinat.crystals.letters sage.combinat.crystals.littelmann_path sage.combinat.crystals.monomial_crystals sage.combinat.crystals.multisegments sage.combinat.crystals.mv_polytopes sage.combinat.crystals.pbw_crystal sage.combinat.crystals.pbw_datum sage.combinat.crystals.polyhedral_realization sage.combinat.crystals.spins sage.combinat.crystals.star_crystal sage.combinat.crystals.tensor_product sage.combinat.crystals.tensor_product_element sage.combinat.cyclic_sieving_phenomenon sage.combinat.debruijn_sequence sage.combinat.degree_sequences sage.combinat.derangements sage.combinat.descent_algebra sage.combinat.designs.all sage.combinat.designs.bibd sage.combinat.designs.block_design sage.combinat.designs.covering_design sage.combinat.designs.database sage.combinat.designs.design_catalog sage.combinat.designs.designs_pyx sage.combinat.designs.difference_family sage.combinat.designs.difference_matrices sage.combinat.designs.evenly_distributed_sets sage.combinat.designs.ext_rep sage.combinat.designs.gen_quadrangles_with_spread sage.combinat.designs.group_divisible_designs sage.combinat.designs.incidence_structures sage.combinat.designs.latin_squares sage.combinat.designs.orthogonal_arrays sage.combinat.designs.orthogonal_arrays_build_recursive sage.combinat.designs.orthogonal_arrays_find_recursive sage.combinat.designs.resolvable_bibd sage.combinat.designs.steiner_quadruple_systems sage.combinat.designs.subhypergraph_search sage.combinat.designs.twographs sage.combinat.diagram sage.combinat.diagram_algebras sage.combinat.dlx sage.combinat.dyck_word sage.combinat.e_one_star sage.combinat.enumerated_sets sage.combinat.enumeration_mod_permgroup sage.combinat.expnums sage.combinat.family sage.combinat.fast_vector_partitions sage.combinat.finite_state_machine sage.combinat.finite_state_machine_generators sage.combinat.fqsym sage.combinat.free_dendriform_algebra sage.combinat.free_module sage.combinat.free_prelie_algebra sage.combinat.fully_commutative_elements sage.combinat.fully_packed_loop sage.combinat.gelfand_tsetlin_patterns sage.combinat.graph_path sage.combinat.gray_codes sage.combinat.grossman_larson_algebras sage.combinat.growth sage.combinat.hall_polynomial sage.combinat.hillman_grassl sage.combinat.integer_lists.base sage.combinat.integer_lists.invlex sage.combinat.integer_lists.lists sage.combinat.integer_matrices sage.combinat.integer_vector sage.combinat.integer_vector_weighted sage.combinat.integer_vectors_mod_permgroup sage.combinat.interval_posets sage.combinat.k_regular_sequence sage.combinat.k_tableau sage.combinat.kazhdan_lusztig sage.combinat.knutson_tao_puzzles sage.combinat.matrices.all sage.combinat.matrices.dancing_links sage.combinat.matrices.dlxcpp sage.combinat.matrices.hadamard_matrix sage.combinat.matrices.latin sage.combinat.misc sage.combinat.multiset_partition_into_sets_ordered sage.combinat.ncsf_qsym.all sage.combinat.ncsf_qsym.combinatorics sage.combinat.ncsf_qsym.generic_basis_code sage.combinat.ncsf_qsym.ncsf sage.combinat.ncsf_qsym.qsym sage.combinat.ncsf_qsym.tutorial sage.combinat.ncsym.all sage.combinat.ncsym.bases sage.combinat.ncsym.dual sage.combinat.ncsym.ncsym sage.combinat.necklace sage.combinat.non_decreasing_parking_function sage.combinat.nu_dyck_word sage.combinat.nu_tamari_lattice sage.combinat.ordered_tree sage.combinat.output sage.combinat.parallelogram_polyomino sage.combinat.parking_functions sage.combinat.partition sage.combinat.partition_algebra sage.combinat.partition_kleshchev sage.combinat.partition_shifting_algebras sage.combinat.partition_tuple sage.combinat.partitions sage.combinat.path_tableaux.catalog sage.combinat.path_tableaux.dyck_path sage.combinat.path_tableaux.frieze sage.combinat.path_tableaux.path_tableau sage.combinat.path_tableaux.semistandard sage.combinat.perfect_matching sage.combinat.permutation sage.combinat.permutation_cython sage.combinat.plane_partition sage.combinat.posets.all sage.combinat.posets.cartesian_product sage.combinat.posets.d_complete sage.combinat.posets.elements sage.combinat.posets.forest sage.combinat.posets.hasse_diagram sage.combinat.posets.incidence_algebras sage.combinat.posets.lattices sage.combinat.posets.linear_extensions sage.combinat.posets.mobile sage.combinat.posets.moebius_algebra sage.combinat.posets.poset_examples sage.combinat.posets.posets sage.combinat.q_analogues sage.combinat.q_bernoulli sage.combinat.quickref sage.combinat.ranker sage.combinat.recognizable_series sage.combinat.restricted_growth sage.combinat.ribbon sage.combinat.ribbon_shaped_tableau sage.combinat.ribbon_tableau sage.combinat.rigged_configurations.all sage.combinat.rigged_configurations.bij_abstract_class sage.combinat.rigged_configurations.bij_infinity sage.combinat.rigged_configurations.bij_type_A sage.combinat.rigged_configurations.bij_type_A2_dual sage.combinat.rigged_configurations.bij_type_A2_even sage.combinat.rigged_configurations.bij_type_A2_odd sage.combinat.rigged_configurations.bij_type_B sage.combinat.rigged_configurations.bij_type_C sage.combinat.rigged_configurations.bij_type_D sage.combinat.rigged_configurations.bij_type_D_tri sage.combinat.rigged_configurations.bij_type_D_twisted sage.combinat.rigged_configurations.bijection sage.combinat.rigged_configurations.kleber_tree sage.combinat.rigged_configurations.kr_tableaux sage.combinat.rigged_configurations.rc_crystal sage.combinat.rigged_configurations.rc_infinity sage.combinat.rigged_configurations.rigged_configuration_element sage.combinat.rigged_configurations.rigged_configurations sage.combinat.rigged_configurations.rigged_partition sage.combinat.rigged_configurations.tensor_product_kr_tableaux sage.combinat.rigged_configurations.tensor_product_kr_tableaux_element sage.combinat.root_system.all sage.combinat.root_system.ambient_space sage.combinat.root_system.associahedron sage.combinat.root_system.braid_move_calculator sage.combinat.root_system.braid_orbit sage.combinat.root_system.branching_rules sage.combinat.root_system.cartan_matrix sage.combinat.root_system.cartan_type sage.combinat.root_system.coxeter_group sage.combinat.root_system.coxeter_matrix sage.combinat.root_system.coxeter_type sage.combinat.root_system.dynkin_diagram sage.combinat.root_system.extended_affine_weyl_group sage.combinat.root_system.fundamental_group sage.combinat.root_system.hecke_algebra_representation sage.combinat.root_system.integrable_representations sage.combinat.root_system.non_symmetric_macdonald_polynomials sage.combinat.root_system.pieri_factors sage.combinat.root_system.plot sage.combinat.root_system.reflection_group_complex sage.combinat.root_system.reflection_group_real sage.combinat.root_system.root_lattice_realization_algebras sage.combinat.root_system.root_lattice_realizations sage.combinat.root_system.root_space sage.combinat.root_system.root_system sage.combinat.root_system.type_A sage.combinat.root_system.type_A_affine sage.combinat.root_system.type_A_infinity sage.combinat.root_system.type_affine sage.combinat.root_system.type_B sage.combinat.root_system.type_B_affine sage.combinat.root_system.type_BC_affine sage.combinat.root_system.type_C sage.combinat.root_system.type_C_affine sage.combinat.root_system.type_D sage.combinat.root_system.type_D_affine sage.combinat.root_system.type_dual sage.combinat.root_system.type_E sage.combinat.root_system.type_E_affine sage.combinat.root_system.type_F sage.combinat.root_system.type_F_affine sage.combinat.root_system.type_folded sage.combinat.root_system.type_G sage.combinat.root_system.type_G_affine sage.combinat.root_system.type_H sage.combinat.root_system.type_I sage.combinat.root_system.type_marked sage.combinat.root_system.type_Q sage.combinat.root_system.type_reducible sage.combinat.root_system.type_relabel sage.combinat.root_system.type_super_A sage.combinat.root_system.weight_lattice_realizations sage.combinat.root_system.weight_space sage.combinat.root_system.weyl_characters sage.combinat.root_system.weyl_group sage.combinat.rooted_tree sage.combinat.rsk sage.combinat.schubert_polynomial sage.combinat.set_partition sage.combinat.set_partition_ordered sage.combinat.sf.all sage.combinat.sf.character sage.combinat.sf.classical sage.combinat.sf.dual sage.combinat.sf.elementary sage.combinat.sf.hall_littlewood sage.combinat.sf.hecke sage.combinat.sf.homogeneous sage.combinat.sf.jack sage.combinat.sf.k_dual sage.combinat.sf.kfpoly sage.combinat.sf.llt sage.combinat.sf.macdonald sage.combinat.sf.monomial sage.combinat.sf.multiplicative sage.combinat.sf.new_kschur sage.combinat.sf.ns_macdonald sage.combinat.sf.orthogonal sage.combinat.sf.orthotriang sage.combinat.sf.powersum sage.combinat.sf.schur sage.combinat.sf.sf sage.combinat.sf.sfa sage.combinat.sf.symplectic sage.combinat.sf.witt sage.combinat.shard_order sage.combinat.shifted_primed_tableau sage.combinat.shuffle sage.combinat.sidon_sets sage.combinat.similarity_class_type sage.combinat.sine_gordon sage.combinat.six_vertex_model sage.combinat.skew_partition sage.combinat.skew_tableau sage.combinat.sloane_functions sage.combinat.species.all sage.combinat.species.characteristic_species sage.combinat.species.composition_species sage.combinat.species.cycle_species sage.combinat.species.empty_species sage.combinat.species.functorial_composition_species sage.combinat.species.generating_series sage.combinat.species.library sage.combinat.species.linear_order_species sage.combinat.species.misc sage.combinat.species.partition_species sage.combinat.species.permutation_species sage.combinat.species.product_species sage.combinat.species.recursive_species sage.combinat.species.set_species sage.combinat.species.species sage.combinat.species.structure sage.combinat.species.subset_species sage.combinat.species.sum_species sage.combinat.subset sage.combinat.subsets_hereditary sage.combinat.subsets_pairwise sage.combinat.subword sage.combinat.subword_complex sage.combinat.super_tableau sage.combinat.superpartition sage.combinat.symmetric_group_algebra sage.combinat.symmetric_group_representations sage.combinat.t_sequences sage.combinat.tableau sage.combinat.tableau_residues sage.combinat.tableau_tuple sage.combinat.tamari_lattices sage.combinat.tiling sage.combinat.tools sage.combinat.triangles_FHM sage.combinat.tuple sage.combinat.tutorial sage.combinat.vector_partition sage.combinat.words sage.combinat.words.abstract_word sage.combinat.words.alphabet sage.combinat.words.finite_word sage.combinat.words.infinite_word sage.combinat.words.lyndon_word sage.combinat.words.morphism sage.combinat.words.paths sage.combinat.words.shuffle_product sage.combinat.words.suffix_trees sage.combinat.words.word sage.combinat.words.word_char sage.combinat.words.word_datatypes sage.combinat.words.word_generators sage.combinat.words.word_infinite_datatypes sage.combinat.words.word_options sage.combinat.words.words sage.combinat.yang_baxter_graph sage.cpython sage.cpython.atexit sage.cpython.cython_metaclass sage.cpython.debug sage.cpython.dict_del_by_value sage.cpython.getattr sage.cpython.string sage.cpython.wrapperdescr sage.crypto sage.crypto.block_cipher.des sage.crypto.block_cipher.miniaes sage.crypto.block_cipher.present sage.crypto.block_cipher.sdes sage.crypto.boolean_function sage.crypto.cipher sage.crypto.classical sage.crypto.classical_cipher sage.crypto.cryptosystem sage.crypto.lattice sage.crypto.lfsr sage.crypto.lwe sage.crypto.mq.mpolynomialsystemgenerator sage.crypto.mq.rijndael_gf sage.crypto.mq.sr sage.crypto.public_key.blum_goldwasser sage.crypto.sbox sage.crypto.sboxes sage.crypto.stream sage.crypto.stream_cipher sage.crypto.util d sage.data_structures sage.data_structures.bitset sage.data_structures.bounded_integer_sequences sage.data_structures.mutable_poset sage.data_structures.stream sage.databases sage.databases.conway sage.databases.cremona sage.databases.cubic_hecke_db sage.databases.cunningham_tables sage.databases.db_class_polynomials sage.databases.db_modular_polynomials sage.databases.findstat sage.databases.jones sage.databases.knotinfo_db sage.databases.odlyzko sage.databases.oeis sage.databases.sloane sage.databases.sql_db sage.databases.stein_watkins sage.databases.symbolic_data sage.docs sage.docs.instancedoc sage.doctest sage.doctest.control sage.doctest.external sage.doctest.fixtures sage.doctest.forker sage.doctest.parsing sage.doctest.reporting sage.doctest.sources sage.doctest.test sage.doctest.util sage.dynamics sage.dynamics.arithmetic_dynamics.affine_ds sage.dynamics.arithmetic_dynamics.berkovich_ds sage.dynamics.arithmetic_dynamics.generic_ds sage.dynamics.arithmetic_dynamics.product_projective_ds sage.dynamics.arithmetic_dynamics.projective_ds sage.dynamics.arithmetic_dynamics.wehlerK3 sage.dynamics.cellular_automata.catalog sage.dynamics.cellular_automata.elementary sage.dynamics.cellular_automata.glca sage.dynamics.cellular_automata.solitons sage.dynamics.complex_dynamics.mandel_julia sage.dynamics.finite_dynamical_system e sage.ext sage.ext.fast_callable sage.ext.fast_eval sage.ext.memory f sage.features sage.features.all sage.features.bliss sage.features.csdp sage.features.databases sage.features.dvipng sage.features.ffmpeg sage.features.four_ti_2 sage.features.gap sage.features.graph_generators sage.features.graphviz sage.features.imagemagick sage.features.interfaces sage.features.internet sage.features.join_feature sage.features.kenzo sage.features.latex sage.features.latte sage.features.lrs sage.features.mcqd sage.features.meataxe sage.features.mip_backends sage.features.normaliz sage.features.pandoc sage.features.pdf2svg sage.features.pkg_systems sage.features.polymake sage.features.rubiks sage.features.sagemath sage.features.tdlib sage.finance sage.finance.fractal sage.finance.markov_multifractal sage.finance.markov_multifractal_cython sage.finance.option sage.finance.stock sage.functions sage.functions.airy sage.functions.bessel sage.functions.error sage.functions.exp_integral sage.functions.generalized sage.functions.hyperbolic sage.functions.hypergeometric sage.functions.jacobi sage.functions.log sage.functions.min_max sage.functions.orthogonal_polys sage.functions.other sage.functions.piecewise sage.functions.prime_pi sage.functions.special sage.functions.spike_function sage.functions.transcendental sage.functions.trig sage.functions.wigner g sage.game_theory sage.game_theory.catalog_normal_form_games sage.game_theory.cooperative_game sage.game_theory.gambit_docs sage.game_theory.matching_game sage.game_theory.normal_form_game sage.game_theory.parser sage.games sage.games.hexad sage.games.quantumino sage.games.sudoku sage.games.sudoku_backtrack sage.geometry sage.geometry.abc sage.geometry.cone sage.geometry.cone_catalog sage.geometry.convex_set sage.geometry.fan sage.geometry.fan_isomorphism sage.geometry.fan_morphism sage.geometry.hasse_diagram sage.geometry.hyperbolic_space.hyperbolic_geodesic sage.geometry.hyperbolic_space.hyperbolic_interface sage.geometry.hyperbolic_space.hyperbolic_isometry sage.geometry.hyperbolic_space.hyperbolic_model sage.geometry.hyperbolic_space.hyperbolic_point sage.geometry.hyperplane_arrangement.affine_subspace sage.geometry.hyperplane_arrangement.arrangement sage.geometry.hyperplane_arrangement.check_freeness sage.geometry.hyperplane_arrangement.hyperplane sage.geometry.hyperplane_arrangement.library sage.geometry.hyperplane_arrangement.plot sage.geometry.integral_points sage.geometry.lattice_polytope sage.geometry.linear_expression sage.geometry.newton_polygon sage.geometry.point_collection sage.geometry.polyhedral_complex sage.geometry.polyhedron.backend_cdd sage.geometry.polyhedron.backend_cdd_rdf sage.geometry.polyhedron.backend_field sage.geometry.polyhedron.backend_normaliz sage.geometry.polyhedron.backend_number_field sage.geometry.polyhedron.backend_polymake sage.geometry.polyhedron.backend_ppl sage.geometry.polyhedron.base sage.geometry.polyhedron.base0 sage.geometry.polyhedron.base1 sage.geometry.polyhedron.base2 sage.geometry.polyhedron.base3 sage.geometry.polyhedron.base4 sage.geometry.polyhedron.base5 sage.geometry.polyhedron.base6 sage.geometry.polyhedron.base7 sage.geometry.polyhedron.base_QQ sage.geometry.polyhedron.base_RDF sage.geometry.polyhedron.base_ZZ sage.geometry.polyhedron.cdd_file_format sage.geometry.polyhedron.combinatorial_polyhedron.base sage.geometry.polyhedron.combinatorial_polyhedron.combinatorial_face sage.geometry.polyhedron.combinatorial_polyhedron.conversions sage.geometry.polyhedron.combinatorial_polyhedron.face_iterator sage.geometry.polyhedron.combinatorial_polyhedron.list_of_faces sage.geometry.polyhedron.combinatorial_polyhedron.polyhedron_face_lattice sage.geometry.polyhedron.constructor sage.geometry.polyhedron.double_description sage.geometry.polyhedron.double_description_inhomogeneous sage.geometry.polyhedron.face sage.geometry.polyhedron.generating_function sage.geometry.polyhedron.lattice_euclidean_group_element sage.geometry.polyhedron.library sage.geometry.polyhedron.modules.formal_polyhedra_module sage.geometry.polyhedron.palp_database sage.geometry.polyhedron.parent sage.geometry.polyhedron.plot sage.geometry.polyhedron.ppl_lattice_polygon sage.geometry.polyhedron.ppl_lattice_polytope sage.geometry.polyhedron.representation sage.geometry.pseudolines sage.geometry.relative_interior sage.geometry.ribbon_graph sage.geometry.riemannian_manifolds.parametrized_surface3d sage.geometry.riemannian_manifolds.surface3d_generators sage.geometry.toric_lattice sage.geometry.toric_plotter sage.geometry.triangulation.base sage.geometry.triangulation.element sage.geometry.triangulation.point_configuration sage.geometry.voronoi_diagram sage.graphs sage.graphs.asteroidal_triples sage.graphs.base.boost_graph sage.graphs.base.c_graph sage.graphs.base.dense_graph sage.graphs.base.graph_backends sage.graphs.base.overview sage.graphs.base.sparse_graph sage.graphs.base.static_dense_graph sage.graphs.base.static_sparse_backend sage.graphs.base.static_sparse_graph sage.graphs.bipartite_graph sage.graphs.centrality sage.graphs.cliquer sage.graphs.comparability sage.graphs.connectivity sage.graphs.convexity_properties sage.graphs.digraph sage.graphs.digraph_generators sage.graphs.distances_all_pairs sage.graphs.domination sage.graphs.edge_connectivity sage.graphs.generators.basic sage.graphs.generators.chessboard sage.graphs.generators.classical_geometries sage.graphs.generators.distance_regular sage.graphs.generators.families sage.graphs.generators.intersection sage.graphs.generators.platonic_solids sage.graphs.generators.random sage.graphs.generators.smallgraphs sage.graphs.generators.world_map sage.graphs.generic_graph sage.graphs.generic_graph_pyx sage.graphs.genus sage.graphs.graph sage.graphs.graph_coloring sage.graphs.graph_database sage.graphs.graph_decompositions.bandwidth sage.graphs.graph_decompositions.clique_separators sage.graphs.graph_decompositions.cutwidth sage.graphs.graph_decompositions.graph_products sage.graphs.graph_decompositions.modular_decomposition sage.graphs.graph_decompositions.rankwidth sage.graphs.graph_decompositions.tree_decomposition sage.graphs.graph_decompositions.vertex_separation sage.graphs.graph_editor sage.graphs.graph_generators sage.graphs.graph_generators_pyx sage.graphs.graph_input sage.graphs.graph_latex sage.graphs.graph_list sage.graphs.graph_plot sage.graphs.graph_plot_js sage.graphs.hyperbolicity sage.graphs.hypergraph_generators sage.graphs.independent_sets sage.graphs.isgci sage.graphs.line_graph sage.graphs.lovasz_theta sage.graphs.matchpoly sage.graphs.orientations sage.graphs.partial_cube sage.graphs.path_enumeration sage.graphs.planarity sage.graphs.pq_trees sage.graphs.schnyder sage.graphs.spanning_tree sage.graphs.strongly_regular_db sage.graphs.traversals sage.graphs.trees sage.graphs.tutte_polynomial sage.graphs.views sage.graphs.weakly_chordal sage.groups sage.groups.abelian_gps.abelian_aut sage.groups.abelian_gps.abelian_group sage.groups.abelian_gps.abelian_group_element sage.groups.abelian_gps.abelian_group_gap sage.groups.abelian_gps.abelian_group_morphism sage.groups.abelian_gps.dual_abelian_group sage.groups.abelian_gps.dual_abelian_group_element sage.groups.abelian_gps.element_base sage.groups.abelian_gps.values sage.groups.additive_abelian.additive_abelian_group sage.groups.additive_abelian.additive_abelian_wrapper sage.groups.affine_gps.affine_group sage.groups.affine_gps.euclidean_group sage.groups.affine_gps.group_element sage.groups.braid sage.groups.class_function sage.groups.conjugacy_classes sage.groups.cubic_braid sage.groups.finitely_presented sage.groups.finitely_presented_named sage.groups.free_group sage.groups.generic sage.groups.group sage.groups.group_exp sage.groups.group_semidirect_product sage.groups.groups_catalog sage.groups.indexed_free_group sage.groups.libgap_group sage.groups.libgap_mixin sage.groups.libgap_morphism sage.groups.libgap_wrapper sage.groups.lie_gps.nilpotent_lie_group sage.groups.matrix_gps.binary_dihedral sage.groups.matrix_gps.catalog sage.groups.matrix_gps.coxeter_group sage.groups.matrix_gps.finitely_generated sage.groups.matrix_gps.group_element sage.groups.matrix_gps.heisenberg sage.groups.matrix_gps.homset sage.groups.matrix_gps.isometries sage.groups.matrix_gps.linear sage.groups.matrix_gps.matrix_group sage.groups.matrix_gps.morphism sage.groups.matrix_gps.named_group sage.groups.matrix_gps.orthogonal sage.groups.matrix_gps.symplectic sage.groups.matrix_gps.unitary sage.groups.misc_gps.argument_groups sage.groups.misc_gps.imaginary_groups sage.groups.misc_gps.misc_groups sage.groups.pari_group sage.groups.perm_gps.constructor sage.groups.perm_gps.cubegroup sage.groups.perm_gps.partn_ref.canonical_augmentation sage.groups.perm_gps.partn_ref.data_structures sage.groups.perm_gps.partn_ref.refinement_graphs sage.groups.perm_gps.partn_ref.refinement_lists sage.groups.perm_gps.partn_ref.refinement_matrices sage.groups.perm_gps.permgroup sage.groups.perm_gps.permgroup_element sage.groups.perm_gps.permgroup_morphism sage.groups.perm_gps.permgroup_named sage.groups.perm_gps.permutation_groups_catalog sage.groups.perm_gps.symgp_conjugacy_class sage.groups.raag sage.groups.semimonomial_transformations.semimonomial_transformation sage.groups.semimonomial_transformations.semimonomial_transformation_group h sage.homology sage.homology.algebraic_topological_model sage.homology.chain_complex sage.homology.chain_complex_homspace sage.homology.chain_complex_morphism sage.homology.chain_homotopy sage.homology.chains sage.homology.free_resolution sage.homology.graded_resolution sage.homology.hochschild_complex sage.homology.homology_group sage.homology.homology_morphism sage.homology.homology_vector_space_with_basis sage.homology.koszul_complex sage.homology.matrix_utils i sage.interfaces sage.interfaces.abc sage.interfaces.axiom sage.interfaces.chomp sage.interfaces.cleaner sage.interfaces.ecm sage.interfaces.expect sage.interfaces.four_ti_2 sage.interfaces.fricas sage.interfaces.frobby sage.interfaces.gap sage.interfaces.gap3 sage.interfaces.genus2reduction sage.interfaces.gfan sage.interfaces.giac sage.interfaces.gnuplot sage.interfaces.gp sage.interfaces.interface sage.interfaces.jmoldata sage.interfaces.kash sage.interfaces.kenzo sage.interfaces.latte sage.interfaces.lie sage.interfaces.lisp sage.interfaces.macaulay2 sage.interfaces.magma sage.interfaces.magma_free sage.interfaces.maple sage.interfaces.mathematica sage.interfaces.mathics sage.interfaces.matlab sage.interfaces.maxima sage.interfaces.maxima_abstract sage.interfaces.maxima_lib sage.interfaces.mupad sage.interfaces.mwrank sage.interfaces.octave sage.interfaces.phc sage.interfaces.polymake sage.interfaces.povray sage.interfaces.psage sage.interfaces.qepcad sage.interfaces.qsieve sage.interfaces.quit sage.interfaces.r sage.interfaces.read_data sage.interfaces.rubik sage.interfaces.sage0 sage.interfaces.sagespawn sage.interfaces.scilab sage.interfaces.singular sage.interfaces.sympy sage.interfaces.tachyon sage.interfaces.tides k sage.knots sage.knots.knot sage.knots.knotinfo sage.knots.link l sage.lfunctions sage.lfunctions.dokchitser sage.lfunctions.lcalc sage.lfunctions.sympow sage.lfunctions.zero_sums sage.libs sage.libs.ecl sage.libs.eclib.constructor sage.libs.eclib.homspace sage.libs.eclib.interface sage.libs.eclib.mat sage.libs.eclib.mwrank sage.libs.eclib.newforms sage.libs.flint.arith sage.libs.flint.flint sage.libs.flint.fmpz_poly sage.libs.gap.context_managers sage.libs.gap.element sage.libs.gap.gap_functions sage.libs.gap.libgap sage.libs.gap.saved_workspace sage.libs.gap.test sage.libs.gap.test_long sage.libs.gap.util sage.libs.giac sage.libs.gsl.array sage.libs.lcalc.lcalc_Lfunction sage.libs.libecm sage.libs.linbox.linbox_flint_interface sage.libs.lrcalc.lrcalc sage.libs.mpmath.utils sage.libs.ntl.all sage.libs.pari sage.libs.pari.convert_sage sage.libs.singular.function sage.libs.singular.function_factory sage.libs.singular.groebner_strategy sage.libs.singular.option sage.libs.singular.polynomial sage.libs.singular.ring sage.libs.singular.singular sage.libs.symmetrica.symmetrica sage.logic sage.logic.booleval sage.logic.boolformula sage.logic.logic sage.logic.logicparser sage.logic.logictable sage.logic.propcalc m sage.manifolds sage.manifolds.calculus_method sage.manifolds.catalog sage.manifolds.chart sage.manifolds.chart_func sage.manifolds.continuous_map sage.manifolds.continuous_map_image sage.manifolds.differentiable.affine_connection sage.manifolds.differentiable.automorphismfield sage.manifolds.differentiable.automorphismfield_group sage.manifolds.differentiable.bundle_connection sage.manifolds.differentiable.characteristic_cohomology_class sage.manifolds.differentiable.chart sage.manifolds.differentiable.curve sage.manifolds.differentiable.de_rham_cohomology sage.manifolds.differentiable.degenerate sage.manifolds.differentiable.degenerate_submanifold sage.manifolds.differentiable.diff_form sage.manifolds.differentiable.diff_form_module sage.manifolds.differentiable.diff_map sage.manifolds.differentiable.differentiable_submanifold sage.manifolds.differentiable.examples.euclidean sage.manifolds.differentiable.examples.real_line sage.manifolds.differentiable.examples.sphere sage.manifolds.differentiable.examples.symplectic_space sage.manifolds.differentiable.integrated_curve sage.manifolds.differentiable.levi_civita_connection sage.manifolds.differentiable.manifold sage.manifolds.differentiable.manifold_homset sage.manifolds.differentiable.metric sage.manifolds.differentiable.mixed_form sage.manifolds.differentiable.mixed_form_algebra sage.manifolds.differentiable.multivector_module sage.manifolds.differentiable.multivectorfield sage.manifolds.differentiable.poisson_tensor sage.manifolds.differentiable.pseudo_riemannian sage.manifolds.differentiable.pseudo_riemannian_submanifold sage.manifolds.differentiable.scalarfield sage.manifolds.differentiable.scalarfield_algebra sage.manifolds.differentiable.symplectic_form sage.manifolds.differentiable.tangent_space sage.manifolds.differentiable.tangent_vector sage.manifolds.differentiable.tensorfield sage.manifolds.differentiable.tensorfield_module sage.manifolds.differentiable.tensorfield_paral sage.manifolds.differentiable.vector_bundle sage.manifolds.differentiable.vectorfield sage.manifolds.differentiable.vectorfield_module sage.manifolds.differentiable.vectorframe sage.manifolds.family sage.manifolds.local_frame sage.manifolds.manifold sage.manifolds.manifold_homset sage.manifolds.operators sage.manifolds.point sage.manifolds.scalarfield sage.manifolds.scalarfield_algebra sage.manifolds.section sage.manifolds.section_module sage.manifolds.structure sage.manifolds.subset sage.manifolds.subsets.closure sage.manifolds.subsets.pullback sage.manifolds.topological_submanifold sage.manifolds.trivialization sage.manifolds.utilities sage.manifolds.vector_bundle sage.manifolds.vector_bundle_fiber sage.manifolds.vector_bundle_fiber_element sage.matrix sage.matrix.action sage.matrix.args sage.matrix.benchmark sage.matrix.berlekamp_massey sage.matrix.change_ring sage.matrix.compute_J_ideal sage.matrix.constructor sage.matrix.docs sage.matrix.echelon_matrix sage.matrix.matrix0 sage.matrix.matrix1 sage.matrix.matrix2 sage.matrix.matrix_complex_ball_dense sage.matrix.matrix_complex_double_dense sage.matrix.matrix_cyclo_dense sage.matrix.matrix_dense sage.matrix.matrix_double_dense sage.matrix.matrix_generic_dense sage.matrix.matrix_generic_sparse sage.matrix.matrix_gf2e_dense sage.matrix.matrix_integer_dense sage.matrix.matrix_integer_dense_hnf sage.matrix.matrix_integer_dense_saturation sage.matrix.matrix_integer_sparse sage.matrix.matrix_misc sage.matrix.matrix_mod2_dense sage.matrix.matrix_modn_dense_double sage.matrix.matrix_modn_dense_float sage.matrix.matrix_modn_sparse sage.matrix.matrix_mpolynomial_dense sage.matrix.matrix_polynomial_dense sage.matrix.matrix_rational_dense sage.matrix.matrix_rational_sparse sage.matrix.matrix_real_double_dense sage.matrix.matrix_space sage.matrix.matrix_sparse sage.matrix.matrix_symbolic_dense sage.matrix.matrix_window sage.matrix.misc sage.matrix.operation_table sage.matrix.special sage.matrix.strassen sage.matrix.symplectic_basis sage.matroids sage.matroids.advanced sage.matroids.basis_exchange_matroid sage.matroids.basis_matroid sage.matroids.catalog sage.matroids.circuit_closures_matroid sage.matroids.constructor sage.matroids.dual_matroid sage.matroids.extension sage.matroids.graphic_matroid sage.matroids.lean_matrix sage.matroids.linear_matroid sage.matroids.matroid sage.matroids.matroids_catalog sage.matroids.matroids_plot_helpers sage.matroids.minor_matroid sage.matroids.rank_matroid sage.matroids.set_system sage.matroids.unpickling sage.matroids.utilities sage.media sage.media.wav sage.misc sage.misc.abstract_method sage.misc.banner sage.misc.benchmark sage.misc.binary_tree sage.misc.bindable_class sage.misc.c3 sage.misc.c3_controlled sage.misc.cachefunc sage.misc.call sage.misc.callable_dict sage.misc.citation sage.misc.classcall_metaclass sage.misc.classgraph sage.misc.constant_function sage.misc.converting_dict sage.misc.copying sage.misc.cython sage.misc.decorators sage.misc.defaults sage.misc.dev_tools sage.misc.dist sage.misc.edit_module sage.misc.element_with_label sage.misc.explain_pickle sage.misc.fast_methods sage.misc.flatten sage.misc.fpickle sage.misc.func_persist sage.misc.function_mangling sage.misc.functional sage.misc.gperftools sage.misc.html sage.misc.inherit_comparison sage.misc.inline_fortran sage.misc.latex sage.misc.latex_macros sage.misc.latex_standalone sage.misc.lazy_attribute sage.misc.lazy_format sage.misc.lazy_import sage.misc.lazy_import_cache sage.misc.lazy_list sage.misc.lazy_string sage.misc.map_threaded sage.misc.mathml sage.misc.messaging sage.misc.method_decorator sage.misc.misc sage.misc.misc_c sage.misc.mrange sage.misc.multireplace sage.misc.nested_class sage.misc.object_multiplexer sage.misc.package sage.misc.pager sage.misc.parser sage.misc.persist sage.misc.prandom sage.misc.profiler sage.misc.proof sage.misc.python sage.misc.random_testing sage.misc.randstate sage.misc.remote_file sage.misc.repr sage.misc.reset sage.misc.rest_index_of_methods sage.misc.sage_eval sage.misc.sage_input sage.misc.sage_ostools sage.misc.sage_timeit sage.misc.sage_timeit_class sage.misc.sage_unittest sage.misc.sagedoc sage.misc.sagedoc_conf sage.misc.sageinspect sage.misc.search sage.misc.session sage.misc.sh sage.misc.sphinxify sage.misc.stopgap sage.misc.superseded sage.misc.table sage.misc.temporary_file sage.misc.test_nested_class sage.misc.trace sage.misc.unknown sage.misc.verbose sage.misc.viewer sage.misc.weak_dict sage.modular sage.modular.abvar.abvar sage.modular.abvar.abvar_ambient_jacobian sage.modular.abvar.abvar_newform sage.modular.abvar.constructor sage.modular.abvar.cuspidal_subgroup sage.modular.abvar.finite_subgroup sage.modular.abvar.homology sage.modular.abvar.homspace sage.modular.abvar.lseries sage.modular.abvar.morphism sage.modular.abvar.torsion_subgroup sage.modular.arithgroup.arithgroup_element sage.modular.arithgroup.arithgroup_generic sage.modular.arithgroup.arithgroup_perm sage.modular.arithgroup.congroup sage.modular.arithgroup.congroup_gamma sage.modular.arithgroup.congroup_gamma0 sage.modular.arithgroup.congroup_gamma1 sage.modular.arithgroup.congroup_gammaH sage.modular.arithgroup.congroup_generic sage.modular.arithgroup.congroup_sl2z sage.modular.arithgroup.farey_symbol sage.modular.btquotients.btquotient sage.modular.btquotients.pautomorphicform sage.modular.buzzard sage.modular.cusps sage.modular.cusps_nf sage.modular.dims sage.modular.dirichlet sage.modular.etaproducts sage.modular.hecke.algebra sage.modular.hecke.ambient_module sage.modular.hecke.degenmap sage.modular.hecke.element sage.modular.hecke.hecke_operator sage.modular.hecke.homspace sage.modular.hecke.module sage.modular.hecke.morphism sage.modular.hecke.submodule sage.modular.hypergeometric_motive sage.modular.local_comp.liftings sage.modular.local_comp.local_comp sage.modular.local_comp.smoothchar sage.modular.local_comp.type_space sage.modular.modform.ambient sage.modular.modform.ambient_eps sage.modular.modform.ambient_g0 sage.modular.modform.ambient_g1 sage.modular.modform.ambient_R sage.modular.modform.constructor sage.modular.modform.cuspidal_submodule sage.modular.modform.eis_series sage.modular.modform.eis_series_cython sage.modular.modform.eisenstein_submodule sage.modular.modform.element sage.modular.modform.half_integral sage.modular.modform.hecke_operator_on_qexp sage.modular.modform.j_invariant sage.modular.modform.notes sage.modular.modform.numerical sage.modular.modform.ring sage.modular.modform.space sage.modular.modform.submodule sage.modular.modform.theta sage.modular.modform.vm_basis sage.modular.modform_hecketriangle.abstract_ring sage.modular.modform_hecketriangle.abstract_space sage.modular.modform_hecketriangle.analytic_type sage.modular.modform_hecketriangle.constructor sage.modular.modform_hecketriangle.element sage.modular.modform_hecketriangle.functors sage.modular.modform_hecketriangle.graded_ring sage.modular.modform_hecketriangle.graded_ring_element sage.modular.modform_hecketriangle.hecke_triangle_group_element sage.modular.modform_hecketriangle.hecke_triangle_groups sage.modular.modform_hecketriangle.readme sage.modular.modform_hecketriangle.series_constructor sage.modular.modform_hecketriangle.space sage.modular.modform_hecketriangle.subspace sage.modular.modsym.ambient sage.modular.modsym.apply sage.modular.modsym.boundary sage.modular.modsym.element sage.modular.modsym.g1list sage.modular.modsym.ghlist sage.modular.modsym.hecke_operator sage.modular.modsym.heilbronn sage.modular.modsym.manin_symbol sage.modular.modsym.manin_symbol_list sage.modular.modsym.modsym sage.modular.modsym.modular_symbols sage.modular.modsym.p1list sage.modular.modsym.p1list_nf sage.modular.modsym.relation_matrix sage.modular.modsym.relation_matrix_pyx sage.modular.modsym.space sage.modular.modsym.subspace sage.modular.multiple_zeta sage.modular.overconvergent.genus0 sage.modular.overconvergent.hecke_series sage.modular.overconvergent.weightspace sage.modular.pollack_stevens.distributions sage.modular.pollack_stevens.fund_domain sage.modular.pollack_stevens.manin_map sage.modular.pollack_stevens.modsym sage.modular.pollack_stevens.padic_lseries sage.modular.pollack_stevens.space sage.modular.quasimodform.element sage.modular.quasimodform.ring sage.modular.quatalg.brandt sage.modular.ssmod.ssmod sage.modules sage.modules.complex_double_vector sage.modules.diamond_cutting sage.modules.fg_pid.fgp_element sage.modules.fg_pid.fgp_module sage.modules.fg_pid.fgp_morphism sage.modules.filtered_vector_space sage.modules.finite_submodule_iter sage.modules.fp_graded.element sage.modules.fp_graded.free_element sage.modules.fp_graded.free_homspace sage.modules.fp_graded.free_module sage.modules.fp_graded.free_morphism sage.modules.fp_graded.homspace sage.modules.fp_graded.module sage.modules.fp_graded.morphism sage.modules.fp_graded.steenrod.module sage.modules.fp_graded.steenrod.morphism sage.modules.free_module sage.modules.free_module_element sage.modules.free_module_homspace sage.modules.free_module_integer sage.modules.free_module_morphism sage.modules.free_quadratic_module sage.modules.free_quadratic_module_integer_symmetric sage.modules.matrix_morphism sage.modules.misc sage.modules.module sage.modules.multi_filtered_vector_space sage.modules.quotient_module sage.modules.real_double_vector sage.modules.submodule sage.modules.tensor_operations sage.modules.torsion_quadratic_module sage.modules.tutorial_free_modules sage.modules.vector_callable_symbolic_dense sage.modules.vector_complex_double_dense sage.modules.vector_double_dense sage.modules.vector_integer_dense sage.modules.vector_mod2_dense sage.modules.vector_modn_dense sage.modules.vector_rational_dense sage.modules.vector_real_double_dense sage.modules.vector_space_homspace sage.modules.vector_space_morphism sage.modules.vector_symbolic_dense sage.modules.with_basis.__init__ sage.modules.with_basis.cell_module sage.modules.with_basis.indexed_element sage.modules.with_basis.invariant sage.modules.with_basis.morphism sage.modules.with_basis.representation sage.modules.with_basis.subquotient sage.monoids sage.monoids.automatic_semigroup sage.monoids.free_abelian_monoid sage.monoids.free_abelian_monoid_element sage.monoids.free_monoid sage.monoids.free_monoid_element sage.monoids.hecke_monoid sage.monoids.indexed_free_monoid sage.monoids.monoid sage.monoids.string_monoid sage.monoids.string_monoid_element sage.monoids.string_ops sage.monoids.trace_monoid n sage.numerical sage.numerical.backends.cvxopt_backend sage.numerical.backends.cvxopt_sdp_backend sage.numerical.backends.generic_backend sage.numerical.backends.generic_sdp_backend sage.numerical.backends.glpk_backend sage.numerical.backends.glpk_exact_backend sage.numerical.backends.glpk_graph_backend sage.numerical.backends.interactivelp_backend sage.numerical.backends.logging_backend sage.numerical.backends.ppl_backend sage.numerical.gauss_legendre sage.numerical.interactive_simplex_method sage.numerical.knapsack sage.numerical.linear_functions sage.numerical.linear_tensor sage.numerical.linear_tensor_constraints sage.numerical.linear_tensor_element sage.numerical.mip sage.numerical.optimize sage.numerical.sdp p sage.parallel sage.parallel.decorate sage.parallel.map_reduce sage.parallel.multiprocessing_sage sage.parallel.ncpus sage.parallel.parallelism sage.parallel.reference sage.parallel.use_fork sage.plot sage.plot.animate sage.plot.arc sage.plot.arrow sage.plot.bar_chart sage.plot.bezier_path sage.plot.circle sage.plot.colors sage.plot.complex_plot sage.plot.contour_plot sage.plot.density_plot sage.plot.disk sage.plot.ellipse sage.plot.graphics sage.plot.histogram sage.plot.hyperbolic_arc sage.plot.hyperbolic_polygon sage.plot.hyperbolic_regular_polygon sage.plot.line sage.plot.matrix_plot sage.plot.misc sage.plot.multigraphics sage.plot.plot sage.plot.plot3d.base sage.plot.plot3d.implicit_plot3d sage.plot.plot3d.implicit_surface sage.plot.plot3d.index_face_set sage.plot.plot3d.introduction sage.plot.plot3d.list_plot3d sage.plot.plot3d.parametric_plot3d sage.plot.plot3d.parametric_surface sage.plot.plot3d.platonic sage.plot.plot3d.plot3d sage.plot.plot3d.plot_field3d sage.plot.plot3d.revolution_plot3d sage.plot.plot3d.shapes sage.plot.plot3d.shapes2 sage.plot.plot3d.tachyon sage.plot.plot3d.texture sage.plot.plot3d.transform sage.plot.plot3d.tri_plot sage.plot.plot_field sage.plot.point sage.plot.polygon sage.plot.primitive sage.plot.scatter_plot sage.plot.step sage.plot.streamline_plot sage.plot.text sage.probability sage.probability.probability_distribution sage.probability.random_variable q sage.quadratic_forms sage.quadratic_forms.binary_qf sage.quadratic_forms.constructions sage.quadratic_forms.count_local_2 sage.quadratic_forms.extras sage.quadratic_forms.genera.genus sage.quadratic_forms.genera.normal_form sage.quadratic_forms.qfsolve sage.quadratic_forms.quadratic_form sage.quadratic_forms.quadratic_form__evaluate sage.quadratic_forms.random_quadraticform sage.quadratic_forms.special_values sage.quadratic_forms.ternary sage.quadratic_forms.ternary_qf sage.quivers sage.quivers.algebra sage.quivers.algebra_elements sage.quivers.homspace sage.quivers.morphism sage.quivers.path_semigroup sage.quivers.paths sage.quivers.representation r sage.repl sage.repl.attach sage.repl.display.fancy_repr sage.repl.display.formatter sage.repl.display.jsmol_iframe sage.repl.display.pretty_print sage.repl.display.util sage.repl.image sage.repl.inputhook sage.repl.interface_magic sage.repl.interpreter sage.repl.ipython_extension sage.repl.ipython_kernel.install sage.repl.ipython_kernel.interact sage.repl.ipython_kernel.kernel sage.repl.ipython_kernel.widgets sage.repl.ipython_tests sage.repl.load sage.repl.preparse sage.repl.rich_output.backend_base sage.repl.rich_output.backend_doctest sage.repl.rich_output.backend_ipython sage.repl.rich_output.buffer sage.repl.rich_output.display_manager sage.repl.rich_output.output_basic sage.repl.rich_output.output_catalog sage.repl.rich_output.output_graphics sage.repl.rich_output.output_graphics3d sage.repl.rich_output.output_video sage.repl.rich_output.preferences sage.repl.rich_output.pretty_print sage.repl.rich_output.test_backend sage.rings sage.rings.algebraic_closure_finite_field sage.rings.asymptotic.asymptotic_expansion_generators sage.rings.asymptotic.asymptotic_ring sage.rings.asymptotic.asymptotics_multivariate_generating_functions sage.rings.asymptotic.growth_group sage.rings.asymptotic.growth_group_cartesian sage.rings.asymptotic.misc sage.rings.asymptotic.term_monoid sage.rings.bernmm sage.rings.bernoulli_mod_p sage.rings.big_oh sage.rings.cfinite_sequence sage.rings.complex_arb sage.rings.complex_double sage.rings.complex_interval sage.rings.complex_interval_field sage.rings.complex_mpc sage.rings.complex_mpfr sage.rings.continued_fraction sage.rings.derivation sage.rings.factorint sage.rings.fast_arith sage.rings.finite_rings.conway_polynomials sage.rings.finite_rings.element_base sage.rings.finite_rings.element_givaro sage.rings.finite_rings.element_ntl_gf2e sage.rings.finite_rings.element_pari_ffelt sage.rings.finite_rings.finite_field_base sage.rings.finite_rings.finite_field_constructor sage.rings.finite_rings.finite_field_givaro sage.rings.finite_rings.finite_field_ntl_gf2e sage.rings.finite_rings.finite_field_pari_ffelt sage.rings.finite_rings.finite_field_prime_modn sage.rings.finite_rings.hom_finite_field sage.rings.finite_rings.hom_finite_field_givaro sage.rings.finite_rings.hom_prime_finite_field sage.rings.finite_rings.homset sage.rings.finite_rings.integer_mod sage.rings.finite_rings.integer_mod_ring sage.rings.finite_rings.residue_field sage.rings.fraction_field sage.rings.fraction_field_element sage.rings.fraction_field_FpT sage.rings.function_field.constructor sage.rings.function_field.differential sage.rings.function_field.divisor sage.rings.function_field.element sage.rings.function_field.extensions sage.rings.function_field.function_field sage.rings.function_field.function_field_valuation sage.rings.function_field.hermite_form_polynomial sage.rings.function_field.ideal sage.rings.function_field.maps sage.rings.function_field.order sage.rings.function_field.place sage.rings.function_field.valuation_ring sage.rings.generic sage.rings.homset sage.rings.ideal sage.rings.ideal_monoid sage.rings.infinity sage.rings.integer sage.rings.integer_ring sage.rings.invariants.invariant_theory sage.rings.invariants.reconstruction sage.rings.laurent_series_ring sage.rings.laurent_series_ring_element sage.rings.lazy_series sage.rings.lazy_series_ring sage.rings.localization sage.rings.monomials sage.rings.morphism sage.rings.multi_power_series_ring sage.rings.multi_power_series_ring_element sage.rings.noncommutative_ideals sage.rings.number_field.bdd_height sage.rings.number_field.class_group sage.rings.number_field.galois_group sage.rings.number_field.homset sage.rings.number_field.maps sage.rings.number_field.morphism sage.rings.number_field.number_field sage.rings.number_field.number_field_base sage.rings.number_field.number_field_element sage.rings.number_field.number_field_element_quadratic sage.rings.number_field.number_field_ideal sage.rings.number_field.number_field_ideal_rel sage.rings.number_field.number_field_morphisms sage.rings.number_field.number_field_rel sage.rings.number_field.order sage.rings.number_field.S_unit_solver sage.rings.number_field.selmer_group sage.rings.number_field.small_primes_of_degree_one sage.rings.number_field.splitting_field sage.rings.number_field.structure sage.rings.number_field.totallyreal sage.rings.number_field.totallyreal_data sage.rings.number_field.totallyreal_phc sage.rings.number_field.totallyreal_rel sage.rings.number_field.unit_group sage.rings.numbers_abc sage.rings.padics.common_conversion sage.rings.padics.eisenstein_extension_generic sage.rings.padics.factory sage.rings.padics.generic_nodes sage.rings.padics.local_generic sage.rings.padics.local_generic_element sage.rings.padics.misc sage.rings.padics.morphism sage.rings.padics.padic_base_generic sage.rings.padics.padic_base_leaves sage.rings.padics.padic_capped_absolute_element sage.rings.padics.padic_capped_relative_element sage.rings.padics.padic_ext_element sage.rings.padics.padic_extension_generic sage.rings.padics.padic_extension_leaves sage.rings.padics.padic_fixed_mod_element sage.rings.padics.padic_generic sage.rings.padics.padic_generic_element sage.rings.padics.padic_printing sage.rings.padics.padic_valuation sage.rings.padics.padic_ZZ_pX_CA_element sage.rings.padics.padic_ZZ_pX_CR_element sage.rings.padics.padic_ZZ_pX_element sage.rings.padics.padic_ZZ_pX_FM_element sage.rings.padics.pow_computer sage.rings.padics.pow_computer_ext sage.rings.padics.precision_error sage.rings.padics.tutorial sage.rings.padics.unramified_extension_generic sage.rings.pari_ring sage.rings.polynomial.complex_roots sage.rings.polynomial.convolution sage.rings.polynomial.cyclotomic sage.rings.polynomial.flatten sage.rings.polynomial.groebner_fan sage.rings.polynomial.hilbert sage.rings.polynomial.ideal sage.rings.polynomial.infinite_polynomial_element sage.rings.polynomial.infinite_polynomial_ring sage.rings.polynomial.laurent_polynomial sage.rings.polynomial.laurent_polynomial_ring sage.rings.polynomial.msolve sage.rings.polynomial.multi_polynomial sage.rings.polynomial.multi_polynomial_element sage.rings.polynomial.multi_polynomial_ideal sage.rings.polynomial.multi_polynomial_ideal_libsingular sage.rings.polynomial.multi_polynomial_libsingular sage.rings.polynomial.multi_polynomial_ring sage.rings.polynomial.multi_polynomial_ring_base sage.rings.polynomial.multi_polynomial_sequence sage.rings.polynomial.omega sage.rings.polynomial.ore_function_element sage.rings.polynomial.ore_function_field sage.rings.polynomial.ore_polynomial_element sage.rings.polynomial.ore_polynomial_ring sage.rings.polynomial.padics.polynomial_padic sage.rings.polynomial.padics.polynomial_padic_capped_relative_dense sage.rings.polynomial.padics.polynomial_padic_flat sage.rings.polynomial.pbori.pbori sage.rings.polynomial.plural sage.rings.polynomial.polydict sage.rings.polynomial.polynomial_compiled sage.rings.polynomial.polynomial_element sage.rings.polynomial.polynomial_element_generic sage.rings.polynomial.polynomial_fateman sage.rings.polynomial.polynomial_gf2x sage.rings.polynomial.polynomial_integer_dense_flint sage.rings.polynomial.polynomial_integer_dense_ntl sage.rings.polynomial.polynomial_modn_dense_ntl sage.rings.polynomial.polynomial_number_field sage.rings.polynomial.polynomial_quotient_ring sage.rings.polynomial.polynomial_quotient_ring_element sage.rings.polynomial.polynomial_rational_flint sage.rings.polynomial.polynomial_real_mpfr_dense sage.rings.polynomial.polynomial_ring sage.rings.polynomial.polynomial_ring_constructor sage.rings.polynomial.polynomial_ring_homomorphism sage.rings.polynomial.polynomial_singular_interface sage.rings.polynomial.polynomial_zmod_flint sage.rings.polynomial.polynomial_zz_pex sage.rings.polynomial.real_roots sage.rings.polynomial.refine_root sage.rings.polynomial.skew_polynomial_element sage.rings.polynomial.skew_polynomial_finite_field sage.rings.polynomial.skew_polynomial_finite_order sage.rings.polynomial.skew_polynomial_ring sage.rings.polynomial.symmetric_ideal sage.rings.polynomial.symmetric_reduction sage.rings.polynomial.term_order sage.rings.polynomial.toy_buchberger sage.rings.polynomial.toy_d_basis sage.rings.polynomial.toy_variety sage.rings.power_series_pari sage.rings.power_series_poly sage.rings.power_series_ring sage.rings.power_series_ring_element sage.rings.puiseux_series_ring sage.rings.puiseux_series_ring_element sage.rings.qqbar sage.rings.quotient_ring sage.rings.quotient_ring_element sage.rings.rational sage.rings.rational_field sage.rings.real_arb sage.rings.real_double sage.rings.real_interval_absolute sage.rings.real_lazy sage.rings.real_mpfi sage.rings.real_mpfr sage.rings.ring sage.rings.ring_extension sage.rings.ring_extension_element sage.rings.ring_extension_morphism sage.rings.semirings.non_negative_integer_semiring sage.rings.semirings.tropical_semiring sage.rings.sum_of_squares sage.rings.tate_algebra sage.rings.universal_cyclotomic_field sage.rings.valuation.augmented_valuation sage.rings.valuation.developing_valuation sage.rings.valuation.gauss_valuation sage.rings.valuation.inductive_valuation sage.rings.valuation.limit_valuation sage.rings.valuation.mapped_valuation sage.rings.valuation.scaled_valuation sage.rings.valuation.trivial_valuation sage.rings.valuation.valuation sage.rings.valuation.valuation_space sage.rings.valuation.value_group s sage.sandpiles sage.sandpiles.sandpile sage.sat sage.sat.boolean_polynomials sage.sat.converters.polybori sage.sat.solvers.cryptominisat sage.sat.solvers.dimacs sage.sat.solvers.picosat sage.sat.solvers.sat_lp sage.sat.solvers.satsolver sage.schemes sage.schemes.affine.affine_homset sage.schemes.affine.affine_morphism sage.schemes.affine.affine_point sage.schemes.affine.affine_rational_point sage.schemes.affine.affine_space sage.schemes.affine.affine_subscheme sage.schemes.berkovich.berkovich_cp_element sage.schemes.berkovich.berkovich_space sage.schemes.curves.affine_curve sage.schemes.curves.closed_point sage.schemes.curves.constructor sage.schemes.curves.curve sage.schemes.curves.point sage.schemes.curves.projective_curve sage.schemes.cyclic_covers.charpoly_frobenius sage.schemes.cyclic_covers.constructor sage.schemes.cyclic_covers.cycliccover_finite_field sage.schemes.cyclic_covers.cycliccover_generic sage.schemes.elliptic_curves.cm sage.schemes.elliptic_curves.constructor sage.schemes.elliptic_curves.descent_two_isogeny sage.schemes.elliptic_curves.ec_database sage.schemes.elliptic_curves.ell_curve_isogeny sage.schemes.elliptic_curves.ell_egros sage.schemes.elliptic_curves.ell_field sage.schemes.elliptic_curves.ell_finite_field sage.schemes.elliptic_curves.ell_generic sage.schemes.elliptic_curves.ell_local_data sage.schemes.elliptic_curves.ell_modular_symbols sage.schemes.elliptic_curves.ell_number_field sage.schemes.elliptic_curves.ell_padic_field sage.schemes.elliptic_curves.ell_point sage.schemes.elliptic_curves.ell_rational_field sage.schemes.elliptic_curves.ell_tate_curve sage.schemes.elliptic_curves.ell_torsion sage.schemes.elliptic_curves.ell_wp sage.schemes.elliptic_curves.formal_group sage.schemes.elliptic_curves.gal_reps sage.schemes.elliptic_curves.gal_reps_number_field sage.schemes.elliptic_curves.gp_simon sage.schemes.elliptic_curves.heegner sage.schemes.elliptic_curves.height sage.schemes.elliptic_curves.hom sage.schemes.elliptic_curves.hom_composite sage.schemes.elliptic_curves.hom_frobenius sage.schemes.elliptic_curves.hom_scalar sage.schemes.elliptic_curves.hom_velusqrt sage.schemes.elliptic_curves.isogeny_class sage.schemes.elliptic_curves.isogeny_small_degree sage.schemes.elliptic_curves.jacobian sage.schemes.elliptic_curves.kodaira_symbol sage.schemes.elliptic_curves.lseries_ell sage.schemes.elliptic_curves.mod5family sage.schemes.elliptic_curves.mod_sym_num sage.schemes.elliptic_curves.modular_parametrization sage.schemes.elliptic_curves.padic_lseries sage.schemes.elliptic_curves.period_lattice sage.schemes.elliptic_curves.period_lattice_region sage.schemes.elliptic_curves.Qcurves sage.schemes.elliptic_curves.saturation sage.schemes.elliptic_curves.sha_tate sage.schemes.elliptic_curves.weierstrass_morphism sage.schemes.elliptic_curves.weierstrass_transform sage.schemes.generic.algebraic_scheme sage.schemes.generic.ambient_space sage.schemes.generic.divisor sage.schemes.generic.divisor_group sage.schemes.generic.glue sage.schemes.generic.homset sage.schemes.generic.hypersurface sage.schemes.generic.morphism sage.schemes.generic.point sage.schemes.generic.scheme sage.schemes.generic.spec sage.schemes.hyperelliptic_curves.constructor sage.schemes.hyperelliptic_curves.hypellfrob sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field sage.schemes.hyperelliptic_curves.hyperelliptic_g2 sage.schemes.hyperelliptic_curves.hyperelliptic_generic sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field sage.schemes.hyperelliptic_curves.hyperelliptic_rational_field sage.schemes.hyperelliptic_curves.invariants sage.schemes.hyperelliptic_curves.jacobian_g2 sage.schemes.hyperelliptic_curves.jacobian_generic sage.schemes.hyperelliptic_curves.jacobian_homset sage.schemes.hyperelliptic_curves.jacobian_morphism sage.schemes.hyperelliptic_curves.kummer_surface sage.schemes.hyperelliptic_curves.mestre sage.schemes.hyperelliptic_curves.monsky_washnitzer sage.schemes.jacobians.abstract_jacobian sage.schemes.overview sage.schemes.plane_conics.con_field sage.schemes.plane_conics.con_finite_field sage.schemes.plane_conics.con_number_field sage.schemes.plane_conics.con_rational_field sage.schemes.plane_conics.con_rational_function_field sage.schemes.plane_conics.constructor sage.schemes.plane_quartics.quartic_constructor sage.schemes.plane_quartics.quartic_generic sage.schemes.product_projective.homset sage.schemes.product_projective.morphism sage.schemes.product_projective.point sage.schemes.product_projective.rational_point sage.schemes.product_projective.space sage.schemes.product_projective.subscheme sage.schemes.projective.projective_homset sage.schemes.projective.projective_morphism sage.schemes.projective.projective_point sage.schemes.projective.projective_rational_point sage.schemes.projective.projective_space sage.schemes.projective.projective_subscheme sage.schemes.riemann_surfaces.riemann_surface sage.schemes.toric.chow_group sage.schemes.toric.divisor sage.schemes.toric.divisor_class sage.schemes.toric.fano_variety sage.schemes.toric.homset sage.schemes.toric.ideal sage.schemes.toric.library sage.schemes.toric.morphism sage.schemes.toric.points sage.schemes.toric.sheaf.constructor sage.schemes.toric.sheaf.klyachko sage.schemes.toric.toric_subscheme sage.schemes.toric.variety sage.schemes.toric.weierstrass sage.schemes.toric.weierstrass_covering sage.schemes.toric.weierstrass_higher sage.sets sage.sets.cartesian_product sage.sets.condition_set sage.sets.disjoint_set sage.sets.disjoint_union_enumerated_sets sage.sets.family sage.sets.finite_enumerated_set sage.sets.finite_set_map_cy sage.sets.finite_set_maps sage.sets.integer_range sage.sets.non_negative_integers sage.sets.positive_integers sage.sets.primes sage.sets.pythonclass sage.sets.real_set sage.sets.recursively_enumerated_set sage.sets.set sage.sets.set_from_iterator sage.sets.totally_ordered_finite_set sage.stats sage.stats.basic_stats sage.stats.distributions.discrete_gaussian_integer sage.stats.distributions.discrete_gaussian_lattice sage.stats.distributions.discrete_gaussian_polynomial sage.stats.hmm.chmm sage.stats.hmm.distributions sage.stats.hmm.hmm sage.stats.hmm.util sage.stats.intlist sage.stats.r sage.structure sage.structure.category_object sage.structure.coerce sage.structure.coerce_actions sage.structure.coerce_dict sage.structure.coerce_exceptions sage.structure.coerce_maps sage.structure.debug_options sage.structure.dynamic_class sage.structure.element sage.structure.element_wrapper sage.structure.factorization sage.structure.factorization_integer sage.structure.factory sage.structure.formal_sum sage.structure.gens_py sage.structure.global_options sage.structure.graphics_file sage.structure.indexed_generators sage.structure.list_clone sage.structure.list_clone_demo sage.structure.list_clone_timings sage.structure.list_clone_timings_cy sage.structure.mutability sage.structure.nonexact sage.structure.parent sage.structure.parent_base sage.structure.parent_gens sage.structure.parent_old sage.structure.proof.proof sage.structure.richcmp sage.structure.sage_object sage.structure.sequence sage.structure.set_factories sage.structure.set_factories_example sage.structure.test_factory sage.structure.unique_representation sage.symbolic sage.symbolic.assumptions sage.symbolic.benchmark sage.symbolic.callable sage.symbolic.complexity_measures sage.symbolic.constants sage.symbolic.expression sage.symbolic.expression_conversions sage.symbolic.function sage.symbolic.function_factory sage.symbolic.integration.external sage.symbolic.integration.integral sage.symbolic.maxima_wrapper sage.symbolic.operators sage.symbolic.random_tests sage.symbolic.relation sage.symbolic.ring sage.symbolic.subring sage.symbolic.substitution_map sage.symbolic.units sage_docbuild sage_docbuild.__main__ sage_docbuild.build_options sage_docbuild.builders sage_docbuild.conf sage_docbuild.ext.inventory_builder sage_docbuild.ext.multidocs sage_docbuild.ext.sage_autodoc sage_docbuild.sphinxbuild sage_docbuild.utils t sage.tensor sage.tensor.modules.alternating_contr_tensor sage.tensor.modules.comp sage.tensor.modules.ext_pow_free_module sage.tensor.modules.finite_rank_free_module sage.tensor.modules.format_utilities sage.tensor.modules.free_module_alt_form sage.tensor.modules.free_module_automorphism sage.tensor.modules.free_module_basis sage.tensor.modules.free_module_element sage.tensor.modules.free_module_homset sage.tensor.modules.free_module_linear_group sage.tensor.modules.free_module_morphism sage.tensor.modules.free_module_tensor sage.tensor.modules.reflexive_module sage.tensor.modules.tensor_free_module sage.tensor.modules.tensor_free_submodule sage.tensor.modules.tensor_free_submodule_basis sage.tensor.modules.tensor_with_indices sage.topology sage.topology.cell_complex sage.topology.cubical_complex sage.topology.delta_complex sage.topology.filtered_simplicial_complex sage.topology.simplicial_complex sage.topology.simplicial_complex_examples sage.topology.simplicial_complex_homset sage.topology.simplicial_complex_morphism sage.topology.simplicial_set sage.topology.simplicial_set_catalog sage.topology.simplicial_set_constructions sage.topology.simplicial_set_examples sage.topology.simplicial_set_morphism sage.typeset sage.typeset.ascii_art sage.typeset.character_art sage.typeset.character_art_factory sage.typeset.symbols sage.typeset.unicode_art sage.typeset.unicode_characters