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Sage Reference Manual

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Comprehensive Module list
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=========================
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.. NOTE::
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    This list is currently sorted in alphabetical order w.r.t. the module names.
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    It can be updated semi-automatically by running in ``src/sage/combinat``::
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        find -name "*.py*" | sed 's|\.pyx\?$||; s|\./|    sage/combinat/|' | LANG=en_US.UTF-8 LC_COLLATE=C sort > /tmp/module_list.rst
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    and copy pasting the result back there.
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.. TODO:: See :trac:`17421` for desirable improvements.
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.. toctree::
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    :maxdepth: 1
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    sage/combinat/__init__
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    sage/combinat/abstract_tree
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    sage/combinat/affine_permutation
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    sage/combinat/algebraic_combinatorics
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    sage/combinat/all
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    sage/combinat/alternating_sign_matrix
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    sage/combinat/backtrack
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    sage/combinat/baxter_permutations
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    sage/combinat/binary_recurrence_sequences
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    sage/combinat/binary_tree
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    sage/combinat/cartesian_product
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    sage/combinat/catalog_partitions
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    sage/combinat/choose_nk
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    sage/combinat/cluster_algebra_quiver/__init__
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    sage/combinat/cluster_algebra_quiver/all
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    sage/combinat/cluster_algebra_quiver/cluster_seed
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    sage/combinat/cluster_algebra_quiver/mutation_class
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    sage/combinat/cluster_algebra_quiver/mutation_type
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    sage/combinat/cluster_algebra_quiver/quiver
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    sage/combinat/cluster_algebra_quiver/quiver_mutation_type
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    sage/combinat/combinat
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    sage/combinat/combinat_cython
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    sage/combinat/combination
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    sage/combinat/combinatorial_algebra
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    sage/combinat/combinatorial_map
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    sage/combinat/composition
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    sage/combinat/composition_signed
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    sage/combinat/composition_tableau
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    sage/combinat/core
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    sage/combinat/counting
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    sage/combinat/crystals/__init__
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    sage/combinat/crystals/affine
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    sage/combinat/crystals/affine_factorization
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    sage/combinat/crystals/affinization
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    sage/combinat/crystals/alcove_path
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    sage/combinat/crystals/all
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    sage/combinat/crystals/catalog
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    sage/combinat/crystals/catalog_elementary_crystals
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    sage/combinat/crystals/catalog_infinity_crystals
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    sage/combinat/crystals/catalog_kirillov_reshetikhin
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    sage/combinat/crystals/crystals
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    sage/combinat/crystals/direct_sum
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    sage/combinat/crystals/elementary_crystals
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    sage/combinat/crystals/fast_crystals
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    sage/combinat/crystals/generalized_young_walls
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    sage/combinat/crystals/highest_weight_crystals
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    sage/combinat/crystals/infinity_crystals
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    sage/combinat/crystals/polyhedral_realization
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    sage/combinat/crystals/kirillov_reshetikhin
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    sage/combinat/crystals/kyoto_path_model
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    sage/combinat/crystals/letters
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    sage/combinat/crystals/littelmann_path
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    sage/combinat/crystals/monomial_crystals
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    sage/combinat/crystals/spins
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    sage/combinat/crystals/tensor_product
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    sage/combinat/cyclic_sieving_phenomenon
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    sage/combinat/debruijn_sequence
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    sage/combinat/degree_sequences
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    sage/combinat/derangements
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    sage/combinat/descent_algebra
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    sage/combinat/designs/__init__
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    sage/combinat/designs/all
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    sage/combinat/designs/bibd
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    sage/combinat/designs/resolvable_bibd
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    sage/combinat/designs/group_divisible_designs
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    sage/combinat/designs/block_design
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    sage/combinat/designs/covering_design
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    sage/combinat/designs/database
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    sage/combinat/designs/design_catalog
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    sage/combinat/designs/designs_pyx
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    sage/combinat/designs/difference_family
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    sage/combinat/designs/difference_matrices
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    sage/combinat/designs/evenly_distributed_sets
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    sage/combinat/designs/ext_rep
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    sage/combinat/designs/incidence_structures
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    sage/combinat/designs/latin_squares
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    sage/combinat/designs/orthogonal_arrays
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    sage/combinat/designs/orthogonal_arrays_build_recursive
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    sage/combinat/designs/orthogonal_arrays_find_recursive
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    sage/combinat/designs/steiner_quadruple_systems
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    sage/combinat/designs/subhypergraph_search
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    sage/combinat/diagram_algebras
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    sage/combinat/dict_addition
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    sage/combinat/dlx
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    sage/combinat/dyck_word
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    sage/combinat/e_one_star
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    sage/combinat/enumerated_sets
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    sage/combinat/enumeration_mod_permgroup
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    sage/combinat/expnums
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    sage/combinat/family
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    sage/combinat/finite_class
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    sage/combinat/finite_state_machine
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    sage/combinat/finite_state_machine_generators
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    sage/combinat/free_module
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    sage/combinat/free_prelie_algebra
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    sage/combinat/gelfand_tsetlin_patterns
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    sage/combinat/graph_path
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    sage/combinat/gray_codes
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    sage/combinat/hall_polynomial
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    sage/combinat/integer_list
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    sage/combinat/integer_matrices
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    sage/combinat/integer_vector
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    sage/combinat/integer_vector_weighted
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    sage/combinat/integer_vectors_mod_permgroup
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    sage/combinat/interval_posets
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    sage/combinat/k_tableau
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    sage/combinat/kazhdan_lusztig
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    sage/combinat/knutson_tao_puzzles
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    sage/combinat/lyndon_word
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    sage/combinat/matrices/__init__
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    sage/combinat/matrices/all
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    sage/combinat/matrices/dancing_links
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    sage/combinat/matrices/dlxcpp
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    sage/combinat/matrices/hadamard_matrix
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    sage/combinat/matrices/latin
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    sage/combinat/misc
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    sage/combinat/multichoose_nk
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    sage/combinat/ncsf_qsym/__init__
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    sage/combinat/ncsf_qsym/all
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    sage/combinat/ncsf_qsym/combinatorics
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    sage/combinat/ncsf_qsym/generic_basis_code
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    sage/combinat/ncsf_qsym/ncsf
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    sage/combinat/ncsf_qsym/qsym
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    sage/combinat/ncsf_qsym/tutorial
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    sage/combinat/ncsym/__init__
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    sage/combinat/ncsym/all
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    sage/combinat/ncsym/bases
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    sage/combinat/ncsym/dual
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    sage/combinat/ncsym/ncsym
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    sage/combinat/necklace
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    sage/combinat/non_decreasing_parking_function
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    sage/combinat/ordered_tree
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    sage/combinat/output
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    sage/combinat/parking_functions
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    sage/combinat/partition
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    sage/combinat/partition_algebra
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    sage/combinat/partition_tuple
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    sage/combinat/partitions
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    sage/combinat/perfect_matching
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    sage/combinat/permutation
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    sage/combinat/permutation_cython
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    sage/combinat/permutation_nk
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    sage/combinat/posets/__init__
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    sage/combinat/posets/all
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    sage/combinat/posets/elements
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    sage/combinat/posets/hasse_diagram
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    sage/combinat/posets/incidence_algebras
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    sage/combinat/posets/lattices
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    sage/combinat/posets/linear_extensions
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    sage/combinat/posets/poset_examples
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    sage/combinat/posets/posets
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    sage/combinat/q_analogues
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    sage/combinat/q_bernoulli
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    sage/combinat/quickref
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    sage/combinat/ranker
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    sage/combinat/restricted_growth
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    sage/combinat/ribbon
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    sage/combinat/ribbon_shaped_tableau
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    sage/combinat/ribbon_tableau
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    sage/combinat/rigged_configurations/__init__
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    sage/combinat/rigged_configurations/all
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    sage/combinat/rigged_configurations/bij_abstract_class
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    sage/combinat/rigged_configurations/bij_infinity
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    sage/combinat/rigged_configurations/bij_type_A
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    sage/combinat/rigged_configurations/bij_type_A2_dual
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    sage/combinat/rigged_configurations/bij_type_A2_even
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    sage/combinat/rigged_configurations/bij_type_A2_odd
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    sage/combinat/rigged_configurations/bij_type_B
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    sage/combinat/rigged_configurations/bij_type_C
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    sage/combinat/rigged_configurations/bij_type_D
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    sage/combinat/rigged_configurations/bij_type_D_twisted
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    sage/combinat/rigged_configurations/bijection
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    sage/combinat/rigged_configurations/kleber_tree
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    sage/combinat/rigged_configurations/kr_tableaux
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    sage/combinat/rigged_configurations/rc_crystal
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    sage/combinat/rigged_configurations/rc_infinity
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    sage/combinat/rigged_configurations/rigged_configuration_element
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    sage/combinat/rigged_configurations/rigged_configurations
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    sage/combinat/rigged_configurations/rigged_partition
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    sage/combinat/rigged_configurations/tensor_product_kr_tableaux
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    sage/combinat/rigged_configurations/tensor_product_kr_tableaux_element
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    sage/combinat/root_system/__init__
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    sage/combinat/root_system/all
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    sage/combinat/root_system/ambient_space
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    sage/combinat/root_system/associahedron
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    sage/combinat/root_system/branching_rules
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    sage/combinat/root_system/cartan_matrix
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    sage/combinat/root_system/cartan_type
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    sage/combinat/root_system/coxeter_group
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    sage/combinat/root_system/coxeter_matrix
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    sage/combinat/root_system/dynkin_diagram
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    sage/combinat/root_system/hecke_algebra_representation
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    sage/combinat/root_system/integrable_representations
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    sage/combinat/root_system/non_symmetric_macdonald_polynomials
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    sage/combinat/root_system/pieri_factors
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    sage/combinat/root_system/plot
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    sage/combinat/root_system/root_lattice_realization_algebras
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    sage/combinat/root_system/root_lattice_realizations
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    sage/combinat/root_system/root_space
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    sage/combinat/root_system/root_system
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    sage/combinat/root_system/type_A
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    sage/combinat/root_system/type_A_affine
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    sage/combinat/root_system/type_B
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    sage/combinat/root_system/type_BC_affine
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    sage/combinat/root_system/type_B_affine
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    sage/combinat/root_system/type_C
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    sage/combinat/root_system/type_C_affine
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    sage/combinat/root_system/type_D
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    sage/combinat/root_system/type_D_affine
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    sage/combinat/root_system/type_E
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    sage/combinat/root_system/type_E_affine
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    sage/combinat/root_system/type_F
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    sage/combinat/root_system/type_F_affine
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    sage/combinat/root_system/type_G
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    sage/combinat/root_system/type_G_affine
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    sage/combinat/root_system/type_H
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    sage/combinat/root_system/type_I
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    sage/combinat/root_system/type_affine
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    sage/combinat/root_system/type_dual
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    sage/combinat/root_system/extended_affine_weyl_group
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    sage/combinat/root_system/fundamental_group
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    sage/combinat/root_system/type_folded
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    sage/combinat/root_system/type_marked
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    sage/combinat/root_system/type_reducible
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    sage/combinat/root_system/type_relabel
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    sage/combinat/root_system/weight_lattice_realizations
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    sage/combinat/root_system/weight_space
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    sage/combinat/root_system/weyl_characters
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    sage/combinat/root_system/weyl_group
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    sage/combinat/rooted_tree
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    sage/combinat/rsk
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    sage/combinat/schubert_polynomial
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    sage/combinat/set_partition
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    sage/combinat/set_partition_ordered
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    sage/combinat/sf/__init__
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    sage/combinat/sf/all
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    sage/combinat/sf/classical
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    sage/combinat/sf/dual
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    sage/combinat/sf/elementary
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    sage/combinat/sf/hall_littlewood
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    sage/combinat/sf/homogeneous
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    sage/combinat/sf/jack
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    sage/combinat/sf/k_dual
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    sage/combinat/sf/kfpoly
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    sage/combinat/sf/llt
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    sage/combinat/sf/macdonald
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    sage/combinat/sf/monomial
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    sage/combinat/sf/multiplicative
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    sage/combinat/sf/new_kschur
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    sage/combinat/sf/ns_macdonald
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    sage/combinat/sf/orthotriang
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    sage/combinat/sf/powersum
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    sage/combinat/sf/schur
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    sage/combinat/sf/sf
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    sage/combinat/sf/sfa
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    sage/combinat/sf/witt
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    sage/combinat/shard_order
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    sage/combinat/shuffle
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    sage/combinat/sidon_sets
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    sage/combinat/similarity_class_type
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    sage/combinat/six_vertex_model
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    sage/combinat/skew_partition
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    sage/combinat/skew_tableau
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    sage/combinat/sloane_functions
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    sage/combinat/species/__init__
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    sage/combinat/species/all
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    sage/combinat/species/characteristic_species
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    sage/combinat/species/combinatorial_logarithm
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    sage/combinat/species/composition_species
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    sage/combinat/species/cycle_species
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    sage/combinat/species/empty_species
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    sage/combinat/species/functorial_composition_species
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    sage/combinat/species/generating_series
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    sage/combinat/species/library
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    sage/combinat/species/linear_order_species
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    sage/combinat/species/misc
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    sage/combinat/species/partition_species
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    sage/combinat/species/permutation_species
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    sage/combinat/species/product_species
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    sage/combinat/species/recursive_species
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    sage/combinat/species/series
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    sage/combinat/species/series_order
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    sage/combinat/species/set_species
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    sage/combinat/species/species
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    sage/combinat/species/stream
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    sage/combinat/species/structure
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    sage/combinat/species/subset_species
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    sage/combinat/species/sum_species
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    sage/combinat/split_nk
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    sage/combinat/subset
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    sage/combinat/subsets_hereditary
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    sage/combinat/subsets_pairwise
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    sage/combinat/subword
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    sage/combinat/symmetric_group_algebra
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    sage/combinat/symmetric_group_representations
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    sage/combinat/tableau
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    sage/combinat/tableau_tuple
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    sage/combinat/tamari_lattices
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    sage/combinat/tiling
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    sage/combinat/tools
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    sage/combinat/tuple
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    sage/combinat/tutorial
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    sage/combinat/vector_partition
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    sage/combinat/words/__init__
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    sage/combinat/words/abstract_word
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    sage/combinat/words/all
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    sage/combinat/words/alphabet
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    sage/combinat/words/finite_word
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    sage/combinat/words/infinite_word
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    sage/combinat/words/morphism
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    sage/combinat/words/paths
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    sage/combinat/words/shuffle_product
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    sage/combinat/words/suffix_trees
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    sage/combinat/words/word
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    sage/combinat/words/word_char
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    sage/combinat/words/word_datatypes
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    sage/combinat/words/word_generators
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    sage/combinat/words/word_infinite_datatypes
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    sage/combinat/words/word_options
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    sage/combinat/words/words
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    sage/combinat/yang_baxter_graph
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