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documentation:master:index [2020/05/21 04:42]
documentation:master:index [2020/06/02 04:40] (current)
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 +====== Index ======
 +===== applications =====
 +   * [[.:​common|common]]
 +   * [[.:​core|core]]
 +   * [[.:​fan|fan]]
 +   * [[.:​fulton|fulton]]
 +   * [[.:​graph|graph]]
 +   * [[.:​group|group]]
 +   * [[.:​ideal|ideal]]
 +   * [[.:​matroid|matroid]]
 +   * [[.:​polytope|polytope]]
 +   * [[.:​topaz|topaz]]
 +   * [[.:​tropical|tropical]]
 +===== Index of all things =====
 +<​sortable 1>
 +^Name^Application^Object class^Category^
 +|**''​[[.:​matroid#​_4ti2Circuits |_4ti2Circuits]]([[.:​common#​Matrix |Matrix]] A)''​**|[[.:​matroid|matroid]]|Functions|Combinatorics|
 +|**''​[[.:​polytope:​LinearProgram#​ABSTRACT_OBJECTIVE |ABSTRACT_OBJECTIVE]]''​**|[[.:​polytope|polytope]]|property of LinearProgram|no category|
 +|**''​[[.:​common#​AccurateFloat |AccurateFloat]]''​**|[[.:​common|common]]|Property_types|Basic Types|
 +|**''​[[.:​group:​Action#​Action |Action]]''​**|[[.:​group|group]]|Objects|no category|
 +|**''​[[.:​group#​action |action]]<​action_type>​(Any g, [[.:​core:​Core_BigObject |Core::​BigObject]] O)''​**|[[.:​group|group]]|Functions|Utilities|
 +|**''​[[.:​group#​action_from_generators |action_from_generators]]([[.:​common#​Array |Array]]<​[[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]%%>>​%% gens, [[.:​group:​Group |Group]] action)''​**|[[.:​group|group]]|Functions|Utilities|
 +|**''​[[.:​group#​action_inv |action_inv]]<​action_type>​([[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]> p, [[.:​core:​Core_BigObject |Core::​BigObject]] O)''​**|[[.:​group|group]]|Functions|Utilities|
 +|**''​[[.:​group#​action_to_cyclic_notation |action_to_cyclic_notation]]([[.:​group:​PermutationAction |PermutationAction]] a)''​**|[[.:​group|group]]|Functions|Utilities|
 +|**''​[[.:​core:​Core_BigObject#​add |add]]([[.:​common#​String |String]] multi_property_name,​ Any subobject, Any properties)''​**|[[.:​core|core]]|method of Core::​BigObject|no category|
 +|**''​[[.:​common#​GraphAdjacency |add_edge]]([[.:​common#​Int |Int]] tail_node, [[.:​common#​Int |Int]] head_node)''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​common:​PolyDB_Collection#​add_index |add_index]](HASH index)''​**|[[.:​common|common]]|method of PolyDB::​Collection|Database Collection Administration|
 +|**''​[[.:​common:​PolyDB_Collection#​add_index_from_property |add_index_from_property]]([[.:​common#​String |String]] property)''​**|[[.:​common|common]]|method of PolyDB::​Collection|Database Collection Administration|
 +|**''​[[.:​common:​PolyDB_Collection#​add_indices |add_indices]](ARRAY index)''​**|[[.:​common|common]]|method of PolyDB::​Collection|Database Collection Administration|
 +|**''​[[.:​common:​PolyDB_Collection#​add_indices_from_property |add_indices_from_property]](ARRAY property)''​**|[[.:​common|common]]|method of PolyDB::​Collection|Database Collection Administration|
 +|**''​[[.:​tropical#​add_morphisms |add_morphisms]]([[.:​tropical:​Morphism |Morphism]] f, [[.:​tropical:​Morphism |Morphism]] g)''​**|[[.:​tropical|tropical]]|Functions|Morphisms|
 +|**''​[[.:​common#​GraphAdjacency |add_node]]()''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​common:​PolyDB_Client#​add_user_to_collection |add_user_to_collection]]()''​**|[[.:​common|common]]|method of PolyDB::​Client|Database Administration|
 +|**''​[[.:​graph:​Graph#​ADJACENCY |ADJACENCY]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​common#​adjacency_matrix |adjacency_matrix]]([[.:​common#​GraphAdjacency |GraphAdjacency]] graph)''​**|[[.:​common|common]]|Functions|Graph Operations|
 +|**''​[[.:​common#​GraphAdjacency |adjacent_nodes]]([[.:​common#​Int |Int]] node)''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​fulton:​NormalToricVariety#​AFFINE |AFFINE]]''​**|[[.:​fulton|fulton]]|property of NormalToricVariety|Algebraic Geometry|
 +|**''​[[.:​tropical:​Cycle#​affine_chart |affine_chart]]([[.:​common#​Int |Int]] chart)''​**|[[.:​tropical|tropical]]|method of Cycle|Affine and projective coordinates|
 +|**''​[[.:​polytope#​affine_float_coords |affine_float_coords]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Coordinate conversions|
 +|**''​[[.:​polytope:​Polytope#​AFFINE_HULL |AFFINE_HULL]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​PointConfiguration#​AFFINE_HULL |AFFINE_HULL]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Geometry|
 +|**''​[[.:​fan:​PolyhedralComplex#​AFFINE_HULL |AFFINE_HULL]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Geometry|
 +|**''​[[.:​tropical#​affine_linear_space |affine_linear_space]]<​Addition>​([[.:​common#​Matrix |Matrix]]<​[[.:​common#​Rational |Rational]]>​ lineality, [[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ translate, [[.:​common#​Integer |Integer]] weight)''​**|[[.:​tropical|tropical]]|Functions|Creation functions for specific cycles|
 +|**''​[[.:​tropical:​Morphism#​affine_representation |affine_representation]]([[.:​common#​Int |Int]] domain_chart,​ [[.:​common#​Int |Int]] target_chart)''​**|[[.:​tropical|tropical]]|method of Morphism|Affine and projective coordinates|
 +|**''​[[.:​tropical#​affine_transform |affine_transform]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ C, [[.:​common#​Matrix |Matrix]]<​[[.:​common#​Rational |Rational]]>​ M, [[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ T)''​**|[[.:​tropical|tropical]]|Functions|Basic polyhedral operations|
 +|**''​[[.:​tropical#​affine_transform |affine_transform]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ C, [[.:​tropical:​Morphism |Morphism]]<​Addition>​ M)''​**|[[.:​tropical|tropical]]|Functions|Basic polyhedral operations|
 +|**''​[[.:​polytope:​AffineLattice#​AffineLattice |AffineLattice]]<​Scalar>''​**|[[.:​polytope|polytope]]|Objects|Geometry|
 +|**''​[[.:​tropical:​Morphism#​after |after]]([[.:​tropical:​Morphism |Morphism]] g)''​**|[[.:​tropical|tropical]]|method of Morphism|Morphisms|
 +|**''​[[.:​matroid#​ag23_matroid |ag23_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​matroid#​ag32_matroid |ag32_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​matroid#​ag32_prime_matroid |ag32_prime_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​topaz#​alexander_dual |alexander_dual]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​common#​GraphAdjacency |all_edges]]([[.:​common#​Int |Int]] tail_node, [[.:​common#​Int |Int]] head_node)''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​tropical:​LinesInCubic#​all_families |all_families]]()''​**|[[.:​tropical|tropical]]|method of LinesInCubic|Lists of lines|
 +|**''​[[.:​group:​Action#​ALL_GROUP_ELEMENTS |ALL_GROUP_ELEMENTS]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​group#​all_group_elements |all_group_elements]]<​Scalar>​([[.:​group:​MatrixActionOnVectors |MatrixActionOnVectors]]<​Scalar>​ action)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​group#​all_group_elements |all_group_elements]]([[.:​group:​PermutationAction |PermutationAction]] a)''​**|[[.:​group|group]]|Functions|Utilities|
 +|**''​[[.:​tropical:​LinesInCubic#​all_isolated |all_isolated]]()''​**|[[.:​tropical|tropical]]|method of LinesInCubic|Lists of lines|
 +|**''​[[.:​common#​all_permutations |all_permutations]]([[.:​common#​Int |Int]] n)''​**|[[.:​common|common]]|Functions|Combinatorics|
 +|**''​[[.:​common#​all_rows_or_cols |all_rows_or_cols]]''​**|[[.:​common|common]]|Property_types|Algebraic Types|
 +|**''​[[.:​graph#​all_spanningtrees |all_spanningtrees]]([[.:​graph:​Graph |Graph]] G)''​**|[[.:​graph|graph]]|Functions|Combinatorics|
 +|**''​[[.:​polytope#​all_steiner_points |all_steiner_points]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Geometry|
 +|**''​[[.:​common#​all_subsets_of_k |all_subsets_of_k]](Any c, [[.:​common#​Int |Int]] k)''​**|[[.:​common|common]]|Functions|Set Operations|
 +|**''​[[.:​fulton:​VersalComponent#​ALPHA_LATTICE |ALPHA_LATTICE]]''​**|[[.:​fulton|fulton]]|property of VersalComponent|Combinatorics|
 +|**''​[[.:​group#​alternating_group |alternating_group]]([[.:​common#​Int |Int]] d)''​**|[[.:​group|group]]|Functions|Producing a group|
 +|**''​[[.:​polytope:​Cone#​ALTSHULER_DET |ALTSHULER_DET]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​fan:​SubdivisionOfVectors#​ALTSHULER_DET |ALTSHULER_DET]]''​**|[[.:​fan|fan]]|property of SubdivisionOfVectors|no category|
 +|**''​[[.:​polytope:​Polytope#​AMBIENT_DIM |AMBIENT_DIM]]()''​**|[[.:​polytope|polytope]]|method of Polytope|Geometry|
 +|**''​[[.:​polytope:​Cone#​AMBIENT_DIM |AMBIENT_DIM]]()''​**|[[.:​polytope|polytope]]|method of Cone|Geometry|
 +|**''​[[.:​polytope:​PointConfiguration#​AMBIENT_DIM |AMBIENT_DIM]]()''​**|[[.:​polytope|polytope]]|method of PointConfiguration|Geometry|
 +|**''​[[.:​fan:​PolyhedralComplex#​AMBIENT_DIM |AMBIENT_DIM]]()''​**|[[.:​fan|fan]]|method of PolyhedralComplex|Geometry|
 +|**''​[[.:​fan:​PolyhedralFan#​AMBIENT_DIM |AMBIENT_DIM]]()''​**|[[.:​fan|fan]]|method of PolyhedralFan|Geometry|
 +|**''​[[.:​fan:​SubdivisionOfPoints#​AMBIENT_DIM |AMBIENT_DIM]]''​**|[[.:​fan|fan]]|method of SubdivisionOfPoints|Geometry|
 +|**''​[[.:​tropical:​VoronoiDiagram#​AMBIENT_DIM |AMBIENT_DIM]]''​**|[[.:​tropical|tropical]]|property of VoronoiDiagram|no category|
 +|**''​[[.:​polytope#​ambient_lattice_normalization |ambient_lattice_normalization]]([[.:​polytope:​Polytope |Polytope]] p)''​**|[[.:​polytope|polytope]]|Functions|Transformations|
 +|**''​[[.:​fulton:​TDivisor#​AMPLE |AMPLE]]''​**|[[.:​fulton|fulton]]|property of TDivisor|Algebraic Geometry|
 +|**''​[[.:​common#​anti_diag |anti_diag]]([[.:​common#​Vector |Vector]] d)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​common#​anti_diag |anti_diag]]([[.:​common#​Matrix |Matrix]] m1, [[.:​common#​Matrix |Matrix]] m2)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​common#​Matrix |anti_diagonal]]([[.:​common#​Int |Int]] i)''​**|[[.:​common|common]]|method of Matrix|no category|
 +|**''​[[.:​core#​application |application]]([[.:​common#​String |String]] name)''​**|[[.:​core|core]]|Functions|Basic|
 +|**''​[[.:​common#​Max |apply]]''​**|[[.:​common|common]]|method of Max|no category|
 +|**''​[[.:​common#​Min |apply]]''​**|[[.:​common|common]]|method of Min|no category|
 +|**''​[[.:​core:​Core_RuleChain#​apply |apply]]([[.:​core:​Core_BigObject |Core::​BigObject]] o)''​**|[[.:​core|core]]|method of Core::​RuleChain|no category|
 +|**''​[[.:​core:​Core_BigObject#​apply_rule |apply_rule]]([[.:​common#​String |String]] pattern)''​**|[[.:​core|core]]|method of Core::​BigObject|no category|
 +|**''​[[.:​common#​ApproximateSet |ApproximateSet]]<​Element>''​**|[[.:​common|common]]|Property_types|Set Types|
 +|**''​[[.:​core#​apropos |apropos]]([[.:​common#​String |String]] pattern)''​**|[[.:​core|core]]|Functions|Interactive|
 +|**''​[[.:​polytope#​archimedean_solid |archimedean_solid]]([[.:​common#​String |String]] s)''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​group#​are_in_same_orbit |are_in_same_orbit]]([[.:​group:​PermutationAction |PermutationAction]] a, [[.:​common#​Vector |Vector]] v1, [[.:​common#​Vector |Vector]] v2)''​**|[[.:​group|group]]|Functions|Orbits|
 +|**''​[[.:​common#​are_permuted |are_permuted]]([[.:​common#​Array |Array]] a, [[.:​common#​Array |Array]] b)''​**|[[.:​common|common]]|Functions|Combinatorics|
 +|**''​[[.:​common#​Array |Array]]<​Element>''​**|[[.:​common|common]]|Property_types|Basic Types|
 +|**''​[[.:​tropical:​LinesInCubic#​array_family_fixed_edge |array_family_fixed_edge]]()''​**|[[.:​tropical|tropical]]|method of LinesInCubic|Lists of lines|
 +|**''​[[.:​tropical:​LinesInCubic#​array_family_fixed_vertex |array_family_fixed_vertex]]()''​**|[[.:​tropical|tropical]]|method of LinesInCubic|Lists of lines|
 +|**''​[[.:​tropical:​LinesInCubic#​array_family_moving_edge |array_family_moving_edge]]()''​**|[[.:​tropical|tropical]]|method of LinesInCubic|Lists of lines|
 +|**''​[[.:​tropical:​LinesInCubic#​array_family_moving_vertex |array_family_moving_vertex]]()''​**|[[.:​tropical|tropical]]|method of LinesInCubic|Lists of lines|
 +|**''​[[.:​tropical:​LinesInCubic#​array_isolated_edge |array_isolated_edge]]()''​**|[[.:​tropical|tropical]]|method of LinesInCubic|Lists of lines|
 +|**''​[[.:​tropical:​LinesInCubic#​array_isolated_no_edge |array_isolated_no_edge]]()''​**|[[.:​tropical|tropical]]|method of LinesInCubic|Lists of lines|
 +|**''​[[.:​polytope#​associahedron |associahedron]]([[.:​common#​Int |Int]] d)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​core:​Core_BigObject#​attach |attach]]([[.:​common#​String |String]] name, Any data, [[.:​common#​String |String]] constructor_arg)''​**|[[.:​core|core]]|method of Core::​BigObject|no category|
 +|**''​[[.:​matroid:​Matroid#​AUTOMORPHISM_GROUP |AUTOMORPHISM_GROUP]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​group#​automorphism_group |automorphism_group]]([[.:​common#​GraphAdjacency |GraphAdjacency]] graph)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​group#​automorphism_group |automorphism_group]]([[.:​common#​IncidenceMatrix |IncidenceMatrix]]<​[[.:​common#​NonSymmetric |NonSymmetric]]>​ m, [[.:​common#​Bool |Bool]] on_rows)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​graph#​automorphisms |automorphisms]]([[.:​common#​GraphAdjacency |GraphAdjacency]] graph)''​**|[[.:​graph|graph]]|Functions|Comparing|
 +|**''​[[.:​graph#​automorphisms |automorphisms]]([[.:​common#​IncidenceMatrix |IncidenceMatrix]]<​[[.:​common#​NonSymmetric |NonSymmetric]]>​ m)''​**|[[.:​graph|graph]]|Functions|Comparing|
 +|**''​[[.:​graph#​automorphisms |automorphisms]]([[.:​common#​IncidenceMatrix |IncidenceMatrix]]<​[[.:​common#​Symmetric |Symmetric]]>​ m)''​**|[[.:​graph|graph]]|Functions|Comparing|
 +|**''​[[.:​common#​average |average]](ARRAY array)''​**|[[.:​common|common]]|Functions|Utilities|
 +|**''​[[.:​graph:​Graph#​AVERAGE_DEGREE |AVERAGE_DEGREE]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​common#​Set |back]]()''​**|[[.:​common|common]]|method of Set|no category|
 +|**''​[[.:​polytope:​Polytope#​BALANCE |BALANCE]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​BALANCED |BALANCED]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​tropical:​Cycle#​balanced_faces |balanced_faces]]()''​**|[[.:​tropical|tropical]]|method of Cycle|Local computations|
 +|**''​[[.:​topaz:​SimplicialComplex#​BALL |BALL]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Topology|
 +|**''​[[.:​topaz#​ball |ball]]([[.:​common#​Int |Int]] d)''​**|[[.:​topaz|topaz]]|Functions|Producing from scratch|
 +|**''​[[.:​polytope#​ball_lifting_lp |ball_lifting_lp]]([[.:​topaz:​GeometricSimplicialComplex |GeometricSimplicialComplex]] c, [[.:​common#​Int |Int]] facet_index,​ [[.:​common#​Rational |Rational]] conv_eps)''​**|[[.:​polytope|polytope]]|Functions|Optimization|
 +|**''​[[.:​common#​barycenter |barycenter]]([[.:​common#​Matrix |Matrix]] A)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​polytope:​PointConfiguration#​BARYCENTER |BARYCENTER]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Geometry|
 +|**''​[[.:​topaz#​barycentric_subdivision |barycentric_subdivision]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​polytope#​barycentric_subdivision |barycentric_subdivision]]([[.:​polytope:​Cone |Cone]] c)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​group:​PermutationAction#​BASE |BASE]]''​**|[[.:​group|group]]|property of PermutationAction|no category|
 +|**''​[[.:​fulton:​TDivisor#​BASEPOINT_FREE |BASEPOINT_FREE]]''​**|[[.:​fulton|fulton]]|property of TDivisor|Algebraic Geometry|
 +|**''​[[.:​matroid:​Matroid#​BASES |BASES]]''​**|[[.:​matroid|matroid]]|property of Matroid|Axiom systems|
 +|**''​[[.:​matroid#​bases_from_revlex_encoding |bases_from_revlex_encoding]]([[.:​common#​String |String]] encoding, [[.:​common#​Int |Int]] r, [[.:​common#​Int |Int]] n)''​**|[[.:​matroid|matroid]]|Functions|Other|
 +|**''​[[.:​matroid#​bases_to_revlex_encoding |bases_to_revlex_encoding]]([[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]> bases, [[.:​common#​Int |Int]] r, [[.:​common#​Int |Int]] n)''​**|[[.:​matroid|matroid]]|Functions|Other|
 +|**''​[[.:​graph#​BasicDecoration |BasicDecoration]]''​**|[[.:​graph|graph]]|Property_types|Combinatorics|
 +|**''​[[.:​common#​basis |basis]]([[.:​common#​Matrix |Matrix]] A)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​ideal:​Groebner#​BASIS |BASIS]]''​**|[[.:​ideal|ideal]]|property of Groebner|Commutative algebra|
 +|**''​[[.:​polytope:​GroebnerBasis#​BASIS |BASIS]]''​**|[[.:​polytope|polytope]]|property of GroebnerBasis|no category|
 +|**''​[[.:​polytope:​AffineLattice#​BASIS |BASIS]]''​**|[[.:​polytope|polytope]]|property of AffineLattice|no category|
 +|**''​[[.:​common#​basis_affine |basis_affine]]([[.:​common#​Matrix |Matrix]] A)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​common#​basis_cols |basis_cols]]([[.:​common#​Matrix |Matrix]] A)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​common#​basis_rows |basis_rows]]([[.:​common#​Matrix |Matrix]] A)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​tropical:​Cycle#​BB_VISUAL |BB_VISUAL]]()''​**|[[.:​tropical|tropical]]|method of Cycle|Visualization|
 +|**''​[[.:​tropical:​Morphism#​before |before]]([[.:​tropical:​Morphism |Morphism]] g)''​**|[[.:​tropical|tropical]]|method of Morphism|Morphisms|
 +|**''​[[.:​matroid:​Matroid#​BETA_INVARIANT |BETA_INVARIANT]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​topaz#​HomologyGroup |betti_number]]()''​**|[[.:​topaz|topaz]]|method of HomologyGroup|no category|
 +|**''​[[.:​topaz#​betti_numbers |betti_numbers]]<​Coeff>​([[.:​topaz#​ChainComplex |ChainComplex]] C)''​**|[[.:​topaz|topaz]]|Functions|Topology|
 +|**''​[[.:​topaz#​betti_numbers |betti_numbers]]<​Coeff>​([[.:​topaz:​SimplicialComplex |SimplicialComplex]] S)''​**|[[.:​topaz|topaz]]|Functions|Topology|
 +|**''​[[.:​tropical:​Patchwork#​BETTI_NUMBERS_Z2 |BETTI_NUMBERS_Z2]]''​**|[[.:​tropical|tropical]]|property of Patchwork|no category|
 +|**''​[[.:​graph:​Graph#​BICONNECTED_COMPONENTS |BICONNECTED_COMPONENTS]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​polytope#​billera_lee |billera_lee]]([[.:​common#​Vector |Vector]]<​[[.:​common#​Integer |Integer]]>​ H)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from other objects|
 +|**''​[[.:​matroid:​Matroid#​BINARY |BINARY]]''​**|[[.:​matroid|matroid]]|property of Matroid|Realizability|
 +|**''​[[.:​polytope#​binary_markov_graph |binary_markov_graph]]([[.:​common#​Array |Array]]<​[[.:​common#​Bool |Bool]]> observation)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​polytope#​binary_markov_graph |binary_markov_graph]]([[.:​common#​String |String]] observation)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​matroid:​Matroid#​BINARY_VECTORS |BINARY_VECTORS]]''​**|[[.:​matroid|matroid]]|property of Matroid|Realizability|
 +|**''​[[.:​common#​binomial |binomial]]([[.:​common#​Int |Int]] n, [[.:​common#​Int |Int]] k)''​**|[[.:​common|common]]|Functions|Combinatorics|
 +|**''​[[.:​fulton:​BinomialIdeal#​BINOMIAL_GENERATORS |BINOMIAL_GENERATORS]]''​**|[[.:​fulton|fulton]]|property of BinomialIdeal|no category|
 +|**''​[[.:​fulton:​BinomialIdeal#​BinomialIdeal |BinomialIdeal]]''​**|[[.:​fulton|fulton]]|Objects|no category|
 +|**''​[[.:​topaz:​SimplicialComplex#​BIPARTITE |BIPARTITE]]()''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|Combinatorics|
 +|**''​[[.:​graph:​Graph#​BIPARTITE |BIPARTITE]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​polytope#​bipyramid |bipyramid]]([[.:​polytope:​Polytope |Polytope]] P, Scalar z, Scalar z_prime)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​polytope#​birkhoff |birkhoff]]([[.:​common#​Int |Int]] n, [[.:​common#​Bool |Bool]] even)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​topaz#​bistellar_simplification |bistellar_simplification]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​common#​Bitset |Bitset]]''​**|[[.:​common|common]]|Property_types|Set Types|
 +|**''​[[.:​polytope:​Cone#​BITSET_ACTION |BITSET_ACTION]]''​**|[[.:​polytope|polytope]]|property of Cone|Symmetry|
 +|**''​[[.:​polytope#​blending |blending]]([[.:​polytope:​Polytope |Polytope]] P1, [[.:​common#​Int |Int]] v1, [[.:​polytope:​Polytope |Polytope]] P2, [[.:​common#​Int |Int]] v2)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​common#​Bool |Bool]]''​**|[[.:​common|common]]|Property_types|Basic Types|
 +|**''​[[.:​graph:​Lattice#​BOTTOM_NODE |BOTTOM_NODE]]''​**|[[.:​graph|graph]]|property of Lattice|Combinatorics|
 +|**''​[[.:​polytope#​bound |bound]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Transformations|
 +|**''​[[.:​topaz:​SimplicialComplex#​BOUNDARY |BOUNDARY]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​BOUNDARY |BOUNDARY]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​polytope:​PointConfiguration#​BOUNDARY |BOUNDARY]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​BOUNDARY_LATTICE_POINTS |BOUNDARY_LATTICE_POINTS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in polytopes|
 +|**''​[[.:​topaz:​SimplicialComplex#​boundary_matrix |boundary_matrix]]([[.:​common#​Int |Int]] d)''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|Combinatorics|
 +|**''​[[.:​topaz#​Filtration |boundary_matrix]]([[.:​common#​Int |Int]] d, [[.:​common#​Int |Int]] t)''​**|[[.:​topaz|topaz]]|method of Filtration|no category|
 +|**''​[[.:​topaz#​ChainComplex |boundary_matrix]]([[.:​common#​Int |Int]] d)''​**|[[.:​topaz|topaz]]|method of ChainComplex|no category|
 +|**''​[[.:​polytope:​Polytope#​BOUNDED |BOUNDED]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​PointConfiguration#​BOUNDED |BOUNDED]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Geometry|
 +|**''​[[.:​fan:​PolyhedralComplex#​BOUNDED |BOUNDED]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Geometry|
 +|**''​[[.:​polytope:​Polytope#​BOUNDED_COMPLEX |BOUNDED_COMPLEX]]''​**|[[.:​polytope|polytope]]|property of Polytope|Unbounded polyhedra|
 +|**''​[[.:​polytope:​Polytope#​BOUNDED_DUAL_GRAPH |BOUNDED_DUAL_GRAPH]]''​**|[[.:​polytope|polytope]]|method of Polytope|Unbounded polyhedra|
 +|**''​[[.:​polytope:​Polytope#​BOUNDED_FACETS |BOUNDED_FACETS]]()''​**|[[.:​polytope|polytope]]|method of Polytope|Unbounded polyhedra|
 +|**''​[[.:​polytope:​Polytope#​BOUNDED_GRAPH |BOUNDED_GRAPH]]''​**|[[.:​polytope|polytope]]|method of Polytope|Unbounded polyhedra|
 +|**''​[[.:​polytope:​Polytope#​BOUNDED_HASSE_DIAGRAM |BOUNDED_HASSE_DIAGRAM]]''​**|[[.:​polytope|polytope]]|method of Polytope|Unbounded polyhedra|
 +|**''​[[.:​polytope:​Polytope#​BOUNDED_VERTICES |BOUNDED_VERTICES]]()''​**|[[.:​polytope|polytope]]|method of Polytope|Unbounded polyhedra|
 +|**''​[[.:​common#​bounding_box |bounding_box]]([[.:​common#​Matrix |Matrix]] m)''​**|[[.:​common|common]]|Functions|Utilities|
 +|**''​[[.:​tropical:​Cycle#​bounding_box |bounding_box]]([[.:​common#​Int |Int]] chart)''​**|[[.:​tropical|tropical]]|method of Cycle|Visualization|
 +|**''​[[.:​graph:​GeometricGraph#​BOUNDING_BOX |BOUNDING_BOX]]''​**|[[.:​graph|graph]]|property of GeometricGraph|no category|
 +|**''​[[.:​polytope#​bounding_box_facets |bounding_box_facets]]([[.:​common#​Matrix |Matrix]] V)''​**|[[.:​polytope|polytope]]|Functions|Visualization|
 +|**''​[[.:​tropical:​Cycle#​bounding_box_facets |bounding_box_facets]]([[.:​common#​Int |Int]] offset, [[.:​common#​Int |Int]] chart)''​**|[[.:​tropical|tropical]]|method of Cycle|Visualization|
 +|**''​[[.:​polytope#​bounding_facets |bounding_facets]]([[.:​common#​Matrix |Matrix]] H, [[.:​common#​Matrix |Matrix]] V)''​**|[[.:​polytope|polytope]]|Functions|Visualization|
 +|**''​[[.:​topaz#​bs2quotient |bs2quotient]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​fan#​building_set |building_set]]([[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]> generators, [[.:​common#​Int |Int]] n)''​**|[[.:​fan|fan]]|Functions|Other|
 +|**''​[[.:​common#​CachedObjectPointer |CachedObjectPointer]]''​**|[[.:​common|common]]|Property_types|Artificial|
 +|**''​[[.:​polytope:​Polytope#​CANONICAL |CANONICAL]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​graph#​canonical_form |canonical_form]]([[.:​common#​GraphAdjacency |GraphAdjacency]] g)''​**|[[.:​graph|graph]]|Functions|Comparing|
 +|**''​[[.:​graph#​canonical_hash |canonical_hash]]([[.:​common#​GraphAdjacency |GraphAdjacency]] g, [[.:​common#​Int |Int]] k)''​**|[[.:​graph|graph]]|Functions|Comparing|
 +|**''​[[.:​graph#​canonical_hash |canonical_hash]]([[.:​common#​IncidenceMatrix |IncidenceMatrix]] M, [[.:​common#​Int |Int]] k)''​**|[[.:​graph|graph]]|Functions|Comparing|
 +|**''​[[.:​topaz#​cap_product |cap_product]]([[.:​topaz#​CycleGroup |CycleGroup]]<​E>​ cocycles, [[.:​topaz#​CycleGroup |CycleGroup]]<​E>​ cycles)''​**|[[.:​topaz|topaz]]|Functions|Topology|
 +|**''​[[.:​tropical#​cartesian_product |cartesian_product]]([[.:​tropical:​Cycle |Cycle]] cycles)''​**|[[.:​tropical|tropical]]|Functions|Basic polyhedral operations|
 +|**''​[[.:​fulton:​TDivisor#​CARTIER |CARTIER]]''​**|[[.:​fulton|fulton]]|property of TDivisor|Algebraic Geometry|
 +|**''​[[.:​fulton:​TDivisor#​CARTIER_DATA |CARTIER_DATA]]''​**|[[.:​fulton|fulton]]|property of TDivisor|Combinatorics|
 +|**''​[[.:​common#​cast |cast]]<​Target>​([[.:​core:​Core_BigObject |Core::​BigObject]] object)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​polytope#​catalan_solid |catalan_solid]]([[.:​common#​String |String]] s)''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​matroid:​Matroid#​CATENARY_G_INVARIANT |CATENARY_G_INVARIANT]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​polytope#​cayley_embedding |cayley_embedding]]([[.:​polytope:​Polytope |Polytope]] P_0, [[.:​polytope:​Polytope |Polytope]] P_1, Scalar t_0, Scalar t_1)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​polytope#​cayley_embedding |cayley_embedding]]([[.:​common#​Array |Array]]<​[[.:​polytope:​Polytope |Polytope]]>​ A)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​polytope#​cayley_polytope |cayley_polytope]]([[.:​common#​Array |Array]]<​[[.:​polytope:​Polytope |Polytope]]>​ P_Array)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​polytope:​Polytope#​CD_INDEX |CD_INDEX]]()''​**|[[.:​polytope|polytope]]|method of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​CD_INDEX_COEFFICIENTS |CD_INDEX_COEFFICIENTS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​common#​ceil |ceil]]([[.:​common#​Rational |Rational]] a)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​topaz#​Cell |Cell]]''​**|[[.:​topaz|topaz]]|Property_types|Topology|
 +|**''​[[.:​fan:​SubdivisionOfVectors#​cell |cell]]([[.:​common#​Int |Int]] i)''​**|[[.:​fan|fan]]|method of SubdivisionOfVectors|Geometry|
 +|**''​[[.:​fan:​SubdivisionOfPoints#​cell |cell]]([[.:​common#​Int |Int]] i)''​**|[[.:​fan|fan]]|method of SubdivisionOfPoints|Geometry|
 +|**''​[[.:​fan:​HyperplaneArrangement#​CELL_DECOMPOSITION |CELL_DECOMPOSITION]]''​**|[[.:​fan|fan]]|property of HyperplaneArrangement|Geometry|
 +|**''​[[.:​fan#​cell_decomposition_brute_force |cell_decomposition_brute_force]]''​**|[[.:​fan|fan]]|Functions|Geometry|
 +|**''​[[.:​fan#​cell_decomposition_rs |cell_decomposition_rs]]''​**|[[.:​fan|fan]]|Functions|Producing a fan|
 +|**''​[[.:​polytope#​cell_from_subdivision |cell_from_subdivision]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​common#​Int |Int]] cell)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​fan:​HyperplaneArrangement#​CELL_SIGNATURES |CELL_SIGNATURES]]''​**|[[.:​fan|fan]]|property of HyperplaneArrangement|Combinatorics|
 +|**''​[[.:​fan:​HyperplaneArrangement#​cell_to_signature |cell_to_signature]]''​**|[[.:​fan|fan]]|method of HyperplaneArrangement|Combinatorics|
 +|**''​[[.:​topaz#​Filtration |cells]]()''​**|[[.:​topaz|topaz]]|method of Filtration|no category|
 +|**''​[[.:​polytope#​cells_from_subdivision |cells_from_subdivision]]([[.:​polytope:​Polytope |Polytope]]<​Scalar>​ P, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> cells)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​polytope#​center |center]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Transformations|
 +|**''​[[.:​polytope#​center_distance |center_distance]]([[.:​polytope:​Polytope |Polytope]] p)''​**|[[.:​polytope|polytope]]|Functions|Geometry|
 +|**''​[[.:​polytope:​Polytope#​CENTERED |CENTERED]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​PointConfiguration#​CENTERED |CENTERED]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Geometry|
 +|**''​[[.:​polytope:​Polytope#​CENTERED_ZONOTOPE |CENTERED_ZONOTOPE]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​Polytope#​CENTRALLY_SYMMETRIC |CENTRALLY_SYMMETRIC]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​Polytope#​CENTROID |CENTROID]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​fulton#​cf2rational |cf2rational]]([[.:​common#​Vector |Vector]]<​[[.:​common#​Integer |Integer]]>​ v)''​**|[[.:​fulton|fulton]]|Functions|Continued fractions|
 +|**''​[[.:​tropical:​Patchwork#​CHAIN_COMPLEX_Z2 |CHAIN_COMPLEX_Z2]]''​**|[[.:​tropical|tropical]]|property of Patchwork|no category|
 +|**''​[[.:​topaz#​ChainComplex |ChainComplex]]<​MatrixType>''​**|[[.:​topaz|topaz]]|Property_types|Topology|
 +|**''​[[.:​common:​PolyDB_Client#​change_password |change_password]]''​**|[[.:​common|common]]|method of PolyDB::​Client|Database Access|
 +|**''​[[.:​group:​Action#​CHARACTER |CHARACTER]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​group:​Group#​CHARACTER_TABLE |CHARACTER_TABLE]]''​**|[[.:​group|group]]|property of Group|Symmetry|
 +|**''​[[.:​graph:​Graph#​CHARACTERISTIC_POLYNOMIAL |CHARACTERISTIC_POLYNOMIAL]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​matroid#​check_basis_exchange_axiom |check_basis_exchange_axiom]]([[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]> B)''​**|[[.:​matroid|matroid]]|Functions|Other|
 +|**''​[[.:​tropical#​check_cycle_equality |check_cycle_equality]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ X, [[.:​tropical:​Cycle |Cycle]]<​Addition>​ Y, [[.:​common#​Bool |Bool]] check_weights)''​**|[[.:​tropical|tropical]]|Functions|Basic polyhedral operations|
 +|**''​[[.:​fan#​check_fan |check_fan]]([[.:​common#​Matrix |Matrix]] rays, [[.:​common#​IncidenceMatrix |IncidenceMatrix]] cones)''​**|[[.:​fan|fan]]|Functions|Consistency check|
 +|**''​[[.:​fan#​check_fan_objects |check_fan_objects]]([[.:​common#​Array |Array]]<​[[.:​polytope:​Cone |Cone]]> cones)''​**|[[.:​fan|fan]]|Functions|Consistency check|
 +|**''​[[.:​matroid#​check_flat_axiom |check_flat_axiom]]([[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]> F)''​**|[[.:​matroid|matroid]]|Functions|Other|
 +|**''​[[.:​matroid#​check_hyperplane_axiom |check_hyperplane_axiom]]([[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]> H)''​**|[[.:​matroid|matroid]]|Functions|Other|
 +|**''​[[.:​polytope#​check_inc |check_inc]]([[.:​common#​Matrix |Matrix]] points, [[.:​common#​Matrix |Matrix]] hyperplanes,​ [[.:​common#​String |String]] sign, [[.:​common#​Bool |Bool]] verbose)''​**|[[.:​polytope|polytope]]|Functions|Consistency check|
 +|**''​[[.:​polytope#​check_poly |check_poly]]([[.:​common#​IncidenceMatrix |IncidenceMatrix]] VIF)''​**|[[.:​polytope|polytope]]|Functions|Consistency check|
 +|**''​[[.:​matroid#​check_transversality |check_transversality]]([[.:​matroid:​Matroid |Matroid]] M)''​**|[[.:​matroid|matroid]]|Functions|Advanced properties|
 +|**''​[[.:​matroid#​check_valuated_basis_axioms |check_valuated_basis_axioms]]([[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]%%>>​%% bases, [[.:​common#​Vector |Vector]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition,​Scalar%%>>​%% valuation)''​**|[[.:​matroid|matroid]]|Functions|Other|
 +|**''​[[.:​matroid#​check_valuated_circuit_axioms |check_valuated_circuit_axioms]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition,​Scalar%%>>​%% M)''​**|[[.:​matroid|matroid]]|Functions|Other|
 +|**''​[[.:​polytope:​Polytope#​CHIROTOPE |CHIROTOPE]]''​**|[[.:​polytope|polytope]]|property of Polytope|Matroid properties|
 +|**''​[[.:​polytope:​VectorConfiguration#​CHIROTOPE |CHIROTOPE]]''​**|[[.:​polytope|polytope]]|property of VectorConfiguration|Matroid properties|
 +|**''​[[.:​polytope#​chirotope |chirotope]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope#​chirotope |chirotope]]([[.:​polytope:​VectorConfiguration |VectorConfiguration]] P)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope#​chirotope |chirotope]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope#​chirotope |chirotope]]([[.:​polytope:​VectorConfiguration |VectorConfiguration]] P)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope#​circuit_completions |circuit_completions]]([[.:​common#​Matrix |Matrix]] L, [[.:​common#​Matrix |Matrix]] R)''​**|[[.:​polytope|polytope]]|Functions|Geometry|
 +|**''​[[.:​matroid:​Matroid#​CIRCUITS |CIRCUITS]]''​**|[[.:​matroid|matroid]]|property of Matroid|Axiom systems|
 +|**''​[[.:​polytope:​Polytope#​CIRCUITS |CIRCUITS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Matroid properties|
 +|**''​[[.:​polytope:​VectorConfiguration#​CIRCUITS |CIRCUITS]]''​**|[[.:​polytope|polytope]]|property of VectorConfiguration|Matroid properties|
 +|**''​[[.:​polytope#​circuits2matrix |circuits2matrix]]([[.:​common#​Set |Set]]<​[[.:​common#​Pair |Pair]]<​[[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]>,​[[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]%%>>​%%>​ co)''​**|[[.:​polytope|polytope]]|Functions|Combinatorics|
 +|**''​[[.:​common#​Matrix |clear]]([[.:​common#​Int |Int]] r, [[.:​common#​Int |Int]] c)''​**|[[.:​common|common]]|method of Matrix|no category|
 +|**''​[[.:​graph#​clip_graph |clip_graph]]([[.:​graph:​Graph |Graph]] G, [[.:​common#​Matrix |Matrix]] V, [[.:​common#​Matrix |Matrix]] BB)''​**|[[.:​graph|graph]]|Functions|Visualization|
 +|**''​[[.:​topaz#​clique_complex |clique_complex]]([[.:​graph:​Graph |Graph]] graph)''​**|[[.:​topaz|topaz]]|Functions|Producing a simplicial complex from other objects|
 +|**''​[[.:​topaz:​SimplicialComplex#​CLOSED_PSEUDO_MANIFOLD |CLOSED_PSEUDO_MANIFOLD]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Topology|
 +|**''​[[.:​tropical#​coarse_covectors |coarse_covectors]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition,​Scalar%%>>​%% points, [[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition,​Scalar%%>>​%% generators)''​**|[[.:​tropical|tropical]]|Functions|Tropical covector decomposition|
 +|**''​[[.:​tropical#​coarse_covectors_of_scalar_vertices |coarse_covectors_of_scalar_vertices]]([[.:​common#​Matrix |Matrix]]<​Scalar>​ points, [[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition,​Scalar%%>>​%% generators)''​**|[[.:​tropical|tropical]]|Functions|Tropical covector decomposition|
 +|**''​[[.:​tropical#​coarsen |coarsen]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ complex, [[.:​common#​Bool |Bool]] testFan)''​**|[[.:​tropical|tropical]]|Functions|Basic polyhedral operations|
 +|**''​[[.:​polytope#​cocircuit_equation_of_ridge |cocircuit_equation_of_ridge]]([[.:​polytope:​Cone |Cone]] C, [[.:​common#​Set |Set]] rho)''​**|[[.:​polytope|polytope]]|Functions|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​COCIRCUIT_EQUATIONS |COCIRCUIT_EQUATIONS]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​polytope:​PointConfiguration#​COCIRCUIT_EQUATIONS |COCIRCUIT_EQUATIONS]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Combinatorics|
 +|**''​[[.:​polytope:​QuotientSpace#​COCIRCUIT_EQUATIONS |COCIRCUIT_EQUATIONS]]''​**|[[.:​polytope|polytope]]|property of QuotientSpace|Combinatorics|
 +|**''​[[.:​polytope#​cocircuit_equations |cocircuit_equations]]([[.:​polytope:​Cone |Cone]] C, [[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]> interior_ridge_simplices,​ [[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]> interior_simplices)''​**|[[.:​polytope|polytope]]|Functions|Combinatorics|
 +|**''​[[.:​polytope#​cocircuit_equations_support_reps |cocircuit_equations_support_reps]]([[.:​common#​Matrix |Matrix]]<​Scalar>​ points, [[.:​common#​Array |Array]]<​[[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]%%>>​%% gens, [[.:​common#​Array |Array]]<​SetType>​ rirs, [[.:​common#​Array |Array]]<​SetType>​ rmis)''​**|[[.:​polytope|polytope]]|Functions|Symmetry|
 +|**''​[[.:​matroid:​Matroid#​COCIRCUITS |COCIRCUITS]]''​**|[[.:​matroid|matroid]]|method of Matroid|Axiom systems|
 +|**''​[[.:​polytope:​Polytope#​COCIRCUITS |COCIRCUITS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Matroid properties|
 +|**''​[[.:​polytope:​VectorConfiguration#​COCIRCUITS |COCIRCUITS]]''​**|[[.:​polytope|polytope]]|property of VectorConfiguration|Matroid properties|
 +|**''​[[.:​polytope:​Polytope#​COCUBICAL |COCUBICAL]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​COCUBICALITY |COCUBICALITY]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​topaz:​SimplicialComplex#​COCYCLES |COCYCLES]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Topology|
 +|**''​[[.:​polytope#​codegree |codegree]]<​Scalar>​([[.:​polytope:​Cone |Cone]] P)''​**|[[.:​polytope|polytope]]|Functions|Combinatorics|
 +|**''​[[.:​polytope#​codegree |codegree]]<​Scalar>​([[.:​polytope:​PointConfiguration |PointConfiguration]] P)''​**|[[.:​polytope|polytope]]|Functions|Combinatorics|
 +|**''​[[.:​tropical:​Cycle#​CODIMENSION_ONE_POLYTOPES |CODIMENSION_ONE_POLYTOPES]]''​**|[[.:​tropical|tropical]]|property of Cycle|Combinatorics|
 +|**''​[[.:​topaz#​CycleGroup |coeff]]()''​**|[[.:​topaz|topaz]]|method of CycleGroup|no category|
 +|**''​[[.:​fulton:​TDivisor#​COEFFICIENTS |COEFFICIENTS]]''​**|[[.:​fulton|fulton]]|property of TDivisor|Combinatorics|
 +|**''​[[.:​tropical:​Hypersurface#​COEFFICIENTS |COEFFICIENTS]]''​**|[[.:​tropical|tropical]]|property of Hypersurface|no category|
 +|**''​[[.:​common#​UniPolynomial |coefficients_as_vector]]()''​**|[[.:​common|common]]|method of UniPolynomial|no category|
 +|**''​[[.:​common#​Polynomial |coefficients_as_vector]]()''​**|[[.:​common|common]]|method of Polynomial|no category|
 +|**''​[[.:​tropical:​RationalCurve#​COEFFS |COEFFS]]''​**|[[.:​tropical|tropical]]|property of RationalCurve|Combinatorics|
 +|**''​[[.:​polytope#​coherency_index |coherency_index]]([[.:​polytope:​Polytope |Polytope]] p1, [[.:​polytope:​Polytope |Polytope]] p2, [[.:​common#​Matrix |Matrix]] points, [[.:​common#​Vector |Vector]] w1, [[.:​common#​Vector |Vector]] w2)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope#​coherency_index |coherency_index]]([[.:​common#​Matrix |Matrix]] points, [[.:​common#​Vector |Vector]] w1, [[.:​common#​Vector |Vector]] w2)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope#​coherency_index |coherency_index]]([[.:​polytope:​Polytope |Polytope]] p1, [[.:​polytope:​Polytope |Polytope]] p2)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​topaz:​SimplicialComplex#​COHOMOLOGY |COHOMOLOGY]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Topology|
 +|**''​[[.:​common#​Matrix |col]]([[.:​common#​Int |Int]] i)''​**|[[.:​common|common]]|method of Matrix|no category|
 +|**''​[[.:​common#​IncidenceMatrix |col]]([[.:​common#​Int |Int]] i)''​**|[[.:​common|common]]|method of IncidenceMatrix|no category|
 +|**''​[[.:​group#​col_to_row_action |col_to_row_action]]([[.:​common#​Matrix |Matrix]] M, [[.:​common#​Array |Array]] of)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​common#​Set |collect]](Element e)''​**|[[.:​common|common]]|method of Set|no category|
 +|**''​[[.:​matroid:​Matroid#​COLOOPS |COLOOPS]]''​**|[[.:​matroid|matroid]]|method of Matroid|Axiom systems|
 +|**''​[[.:​common#​Color |Color]]''​**|[[.:​common|common]]|Property_types|Visualization|
 +|**''​[[.:​topaz#​colored_ball_from_colored_sphere |colored_ball_from_colored_sphere]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​topaz:​SimplicialComplex#​COLORING |COLORING]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|no category|
 +|**''​[[.:​topaz:​SimplicialComplex#​COLORING |COLORING]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Combinatorics|
 +|**''​[[.:​common#​Matrix |cols]]()''​**|[[.:​common|common]]|method of Matrix|no category|
 +|**''​[[.:​common#​IncidenceMatrix |cols]]()''​**|[[.:​common|common]]|method of IncidenceMatrix|no category|
 +|**''​[[.:​common#​cols |cols]]''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​common#​cols |cols]]([[.:​common#​Matrix |Matrix]] A)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​polytope:​Cone#​COMBINATORIAL_DIM |COMBINATORIAL_DIM]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralFan#​COMBINATORIAL_DIM |COMBINATORIAL_DIM]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Combinatorics|
 +|**''​[[.:​polytope#​combinatorial_symmetries |combinatorial_symmetries]]([[.:​polytope:​Polytope |Polytope]] p)''​**|[[.:​polytope|polytope]]|Functions|Symmetry|
 +|**''​[[.:​fan#​combinatorial_symmetries |combinatorial_symmetries]]([[.:​fan:​PolyhedralFan |PolyhedralFan]] f)''​**|[[.:​fan|fan]]|Functions|Symmetry|
 +|**''​[[.:​polytope#​combinatorial_symmetrized_cocircuit_equations |combinatorial_symmetrized_cocircuit_equations]]([[.:​polytope:​Cone |Cone]] P, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> comps)''​**|[[.:​polytope|polytope]]|Functions|Symmetry|
 +|**''​[[.:​polytope#​combinatorial_symmetrized_cocircuit_equations |combinatorial_symmetrized_cocircuit_equations]]([[.:​polytope:​Cone |Cone]] P, [[.:​common#​Array |Array]]<​SetType>​ rirs, [[.:​common#​Array |Array]]<​SetType>​ rmis, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> comps)''​**|[[.:​polytope|polytope]]|Functions|Symmetry|
 +|**''​[[.:​core:​Core_BigObject#​commit |commit]]''​**|[[.:​core|core]]|method of Core::​BigObject|no category|
 +|**''​[[.:​polytope#​common_refinement |common_refinement]]([[.:​common#​Matrix |Matrix]] points, [[.:​common#​IncidenceMatrix |IncidenceMatrix]] sub1, [[.:​common#​IncidenceMatrix |IncidenceMatrix]] sub2, [[.:​common#​Int |Int]] dim)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope#​common_refinement |common_refinement]]([[.:​polytope:​Polytope |Polytope]] p1, [[.:​polytope:​Polytope |Polytope]] p2)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​fan#​common_refinement |common_refinement]]([[.:​fan:​PolyhedralFan |PolyhedralFan]] f1, [[.:​fan:​PolyhedralFan |PolyhedralFan]] f2)''​**|[[.:​fan|fan]]|Functions|Producing a fan|
 +|**''​[[.:​fan:​PolyhedralComplex#​COMPACTIFICATION |COMPACTIFICATION]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Combinatorics|
 +|**''​[[.:​common#​HermiteNormalForm |companion]]()''​**|[[.:​common|common]]|method of HermiteNormalForm|no category|
 +|**''​[[.:​graph#​complement_graph |complement_graph]]([[.:​graph:​Graph |Graph]] G)''​**|[[.:​graph|graph]]|Functions|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralFan#​COMPLETE |COMPLETE]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Combinatorics|
 +|**''​[[.:​graph#​complete |complete]]([[.:​common#​Int |Int]] n)''​**|[[.:​graph|graph]]|Functions|Producing a graph|
 +|**''​[[.:​graph#​complete_bipartite |complete_bipartite]]([[.:​common#​Int |Int]] k, [[.:​common#​Int |Int]] l)''​**|[[.:​graph|graph]]|Functions|Producing a graph|
 +|**''​[[.:​topaz#​complex_projective_plane |complex_projective_plane]]()''​**|[[.:​topaz|topaz]]|Functions|Producing from scratch|
 +|**''​[[.:​polytope:​Polytope#​COMPLEXITY |COMPLEXITY]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​common#​compose |compose]]([[.:​common:​Visual_Object |Visual::​Object]] vis_obj ...)''​**|[[.:​common|common]]|Functions|Visualization|
 +|**''​[[.:​common#​compose |compose]]([[.:​common:​Visual_Container |Visual::​Container]] vis_container,​ [[.:​common:​Visual_Object |Visual::​Object]] vis_obj ...)''​**|[[.:​common|common]]|Functions|Visualization|
 +|**''​[[.:​polytope:​Polytope#​COMPRESSED |COMPRESSED]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​common#​concat_rows |concat_rows]]([[.:​common#​Matrix |Matrix]] A)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​topaz#​cone |cone]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex, [[.:​common#​Int |Int]] k)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​polytope:​Cone#​Cone |Cone]]<​Scalar>''​**|[[.:​polytope|polytope]]|Objects|no category|
 +|**''​[[.:​fan:​PolyhedralFan#​cone |cone]]([[.:​common#​Int |Int]] i)''​**|[[.:​fan|fan]]|method of PolyhedralFan|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​CONE_AMBIENT_DIM |CONE_AMBIENT_DIM]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​Cone#​CONE_AMBIENT_DIM |CONE_AMBIENT_DIM]]''​**|[[.:​polytope|polytope]]|property of Cone|Geometry|
 +|**''​[[.:​polytope:​Polytope#​CONE_DIM |CONE_DIM]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​Cone#​CONE_DIM |CONE_DIM]]''​**|[[.:​polytope|polytope]]|property of Cone|Geometry|
 +|**''​[[.:​fan#​cone_of_tubing |cone_of_tubing]]([[.:​graph:​Graph |Graph]] G, [[.:​graph:​Graph |Graph]] T)''​**|[[.:​fan|fan]]|Functions|Other|
 +|**''​[[.:​fan:​PolyhedralFan#​cone_representative |cone_representative]]([[.:​common#​Int |Int]] i)''​**|[[.:​fan|fan]]|method of PolyhedralFan|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​CONES |CONES]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Combinatorics|
 +|**''​[[.:​fan#​cones_action |cones_action]]([[.:​fan:​PolyhedralFan |PolyhedralFan]] f, [[.:​common#​Int |Int]] k)''​**|[[.:​fan|fan]]|Functions|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​CONES_COMBINATORIAL_DIMS |CONES_COMBINATORIAL_DIMS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralFan#​CONES_DIMS |CONES_DIMS]]()''​**|[[.:​fan|fan]]|method of PolyhedralFan|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralFan#​CONES_ORBIT_SIZES |CONES_ORBIT_SIZES]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​CONES_REPS |CONES_REPS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​polytope#​congruent |congruent]]([[.:​polytope:​Polytope |Polytope]] P1, [[.:​polytope:​Polytope |Polytope]] P2)''​**|[[.:​polytope|polytope]]|Functions|Comparing|
 +|**''​[[.:​group#​conjugacy_class |conjugacy_class]]<​Element>​([[.:​group:​Action |Action]] action, Element e)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​group#​conjugacy_class |conjugacy_class]]<​Scalar>​([[.:​group:​MatrixActionOnVectors |MatrixActionOnVectors]]<​Scalar>​ action, [[.:​common#​Matrix |Matrix]]<​Scalar>​ e)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​group:​Action#​CONJUGACY_CLASS_REPRESENTATIVES |CONJUGACY_CLASS_REPRESENTATIVES]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​group:​Group#​CONJUGACY_CLASS_SIZES |CONJUGACY_CLASS_SIZES]]''​**|[[.:​group|group]]|property of Group|Symmetry|
 +|**''​[[.:​group:​Action#​CONJUGACY_CLASSES |CONJUGACY_CLASSES]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​matroid:​Matroid#​CONNECTED |CONNECTED]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​topaz:​SimplicialComplex#​CONNECTED |CONNECTED]]()''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|Topology|
 +|**''​[[.:​graph:​Graph#​CONNECTED |CONNECTED]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​matroid:​Matroid#​CONNECTED_COMPONENTS |CONNECTED_COMPONENTS]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​topaz:​SimplicialComplex#​CONNECTED_COMPONENTS |CONNECTED_COMPONENTS]]()''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|Combinatorics|
 +|**''​[[.:​graph:​Graph#​CONNECTED_COMPONENTS |CONNECTED_COMPONENTS]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​topaz#​connected_sum |connected_sum]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex1, [[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex2, [[.:​common#​Int |Int]] f1, [[.:​common#​Int |Int]] f2)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​topaz:​SimplicialComplex#​CONNECTIVITY |CONNECTIVITY]]()''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​CONNECTIVITY |CONNECTIVITY]]()''​**|[[.:​polytope|polytope]]|method of Cone|Combinatorics|
 +|**''​[[.:​graph:​Graph#​CONNECTIVITY |CONNECTIVITY]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​graph#​connectivity |connectivity]]([[.:​common#​GraphAdjacency |GraphAdjacency]]<​[[.:​common#​Undirected |Undirected]]>​ graph)''​**|[[.:​graph|graph]]|Functions|Combinatorics|
 +|**''​[[.:​common#​UniPolynomial |constant_coefficient]]()''​**|[[.:​common|common]]|method of UniPolynomial|no category|
 +|**''​[[.:​common#​Polynomial |constant_coefficient]]()''​**|[[.:​common|common]]|method of Polynomial|no category|
 +|**''​[[.:​polytope:​Visual_SchlegelDiagram#​CONSTRUCTION |CONSTRUCTION]]()''​**|[[.:​polytope|polytope]]|method of Visual::​SchlegelDiagram|no category|
 +|**''​[[.:​common#​Container |Container]]''​**|[[.:​common|common]]|Property_types|Artificial|
 +|**''​[[.:​polytope#​containing_normal_cone |containing_normal_cone]]([[.:​polytope:​Cone |Cone]] P, [[.:​common#​Vector |Vector]] q)''​**|[[.:​polytope|polytope]]|Functions|Geometry|
 +|**''​[[.:​polytope#​containing_outer_cone |containing_outer_cone]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​common#​Vector |Vector]] q)''​**|[[.:​polytope|polytope]]|Functions|Geometry|
 +|**''​[[.:​common#​Set |contains]](Element e)''​**|[[.:​common|common]]|method of Set|no category|
 +|**''​[[.:​polytope:​Cone#​contains |contains]]''​**|[[.:​polytope|polytope]]|method of Cone|Geometry|
 +|**''​[[.:​polytope:​Cone#​contains_in_interior |contains_in_interior]]([[.:​common#​Vector |Vector]]<​Scalar>​ v)''​**|[[.:​polytope|polytope]]|method of Cone|Geometry|
 +|**''​[[.:​ideal:​Ideal#​contains_monomial |contains_monomial]]([[.:​common#​String |String]] s)''​**|[[.:​ideal|ideal]]|method of Ideal|no category|
 +|**''​[[.:​tropical#​contains_point |contains_point]]([[.:​tropical:​Cycle |Cycle]] A, [[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ point)''​**|[[.:​tropical|tropical]]|Functions|Basic polyhedral operations|
 +|**''​[[.:​fulton:​VersalComponent#​CONTINUED_FRACTION |CONTINUED_FRACTION]]''​**|[[.:​fulton|fulton]]|property of VersalComponent|Combinatorics|
 +|**''​[[.:​fulton:​CyclicQuotient#​CONTINUED_FRACTION |CONTINUED_FRACTION]]''​**|[[.:​fulton|fulton]]|property of CyclicQuotient|Input properties|
 +|**''​[[.:​common#​GraphAdjacency |contract_edge]]([[.:​common#​Int |Int]] node1, [[.:​common#​Int |Int]] node2)''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​matroid#​contraction |contraction]]([[.:​matroid:​Matroid |Matroid]] m, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> S)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from matroids|
 +|**''​[[.:​matroid#​contraction |contraction]]([[.:​matroid:​Matroid |Matroid]] m, [[.:​common#​Int |Int]] x)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from matroids|
 +|**''​[[.:​polytope#​contraction |contraction]]([[.:​polytope:​VectorConfiguration |VectorConfiguration]] C, [[.:​common#​Int |Int]] v)''​**|[[.:​polytope|polytope]]|Functions|Combinatorics|
 +|**''​[[.:​polytope#​conv |conv]]([[.:​common#​Array |Array]]<​[[.:​polytope:​Polytope |Polytope]]>​ P_Array)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​common#​convert_to |convert_to]]<​Target>​(//​Scalar//​ s)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​common#​convert_to |convert_to]]<​Target>​([[.:​common#​Vector |Vector]] v)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​common#​convert_to |convert_to]]<​Target>​([[.:​common#​Matrix |Matrix]] m)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​common#​convert_to |convert_to]]<​Target>​([[.:​common#​Polynomial |Polynomial]] m)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​common#​convert_to |convert_to]]<​Target>​([[.:​common#​UniPolynomial |UniPolynomial]] m)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​polytope#​convert_to |convert_to]]<​Coord>​([[.:​polytope:​Cone |Cone]] c)''​**|[[.:​polytope|polytope]]|Functions|Coordinate conversions|
 +|**''​[[.:​polytope#​convert_to |convert_to]]<​Coord>​([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Coordinate conversions|
 +|**''​[[.:​polytope:​PointConfiguration#​CONVEX |CONVEX]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Geometry|
 +|**''​[[.:​fan:​SubdivisionOfVectors#​CONVEX |CONVEX]]''​**|[[.:​fan|fan]]|property of SubdivisionOfVectors|Geometry|
 +|**''​[[.:​polytope:​PointConfiguration#​CONVEX_HULL |CONVEX_HULL]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Geometry|
 +|**''​[[.:​polytope:​Polytope#​COORDINATE_ACTION |COORDINATE_ACTION]]''​**|[[.:​polytope|polytope]]|property of Polytope|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​COORDINATE_ACTION |COORDINATE_ACTION]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​polytope:​Cone#​COORDINATE_LABELS |COORDINATE_LABELS]]''​**|[[.:​polytope|polytope]]|property of Cone|Visualization|
 +|**''​[[.:​topaz:​GeometricSimplicialComplex#​COORDINATES |COORDINATES]]''​**|[[.:​topaz|topaz]]|property of GeometricSimplicialComplex|no category|
 +|**''​[[.:​common#​Plucker |coordinates]]''​**|[[.:​common|common]]|method of Plucker|no category|
 +|**''​[[.:​graph:​GeometricGraph#​COORDINATES |COORDINATES]]''​**|[[.:​graph|graph]]|property of GeometricGraph|no category|
 +|**''​[[.:​core:​Core_BigObject#​Core::​BigObject |Core::​BigObject]]''​**|[[.:​core|core]]|Objects|no category|
 +|**''​[[.:​core:​Core_RuleChain#​Core::​RuleChain |Core::​RuleChain]]''​**|[[.:​core|core]]|Objects|no category|
 +|**''​[[.:​polytope#​core_point_algo |core_point_algo]]([[.:​polytope:​Polytope |Polytope]] p, [[.:​common#​Rational |Rational]] optLPvalue)''​**|[[.:​polytope|polytope]]|Functions|Optimization|
 +|**''​[[.:​polytope#​core_point_algo_Rote |core_point_algo_Rote]]([[.:​polytope:​Polytope |Polytope]] p, [[.:​common#​Rational |Rational]] optLPvalue)''​**|[[.:​polytope|polytope]]|Functions|Optimization|
 +|**''​[[.:​matroid:​Matroid#​COTRANSVERSAL |COTRANSVERSAL]]''​**|[[.:​matroid|matroid]]|method of Matroid|Advanced properties|
 +|**''​[[.:​common:​PolyDB_Collection#​count |count]](HASH query)''​**|[[.:​common|common]]|method of PolyDB::​Collection|Database Query Operations|
 +|**''​[[.:​common:​PolyDB_Collection#​count_distinct |count_distinct]](HASH query, [[.:​common#​String |String]] property)''​**|[[.:​common|common]]|method of PolyDB::​Collection|Database Query Operations|
 +|**''​[[.:​tropical#​count_mn_cones |count_mn_cones]]([[.:​common#​Int |Int]] n, [[.:​common#​Int |Int]] k)''​**|[[.:​tropical|tropical]]|Functions|Moduli of rational curves|
 +|**''​[[.:​tropical#​count_mn_rays |count_mn_rays]]([[.:​common#​Int |Int]] n)''​**|[[.:​tropical|tropical]]|Functions|Moduli of rational curves|
 +|**''​[[.:​tropical#​CovectorDecoration |CovectorDecoration]]''​**|[[.:​tropical|tropical]]|Property_types|no category|
 +|**''​[[.:​tropical:​CovectorLattice#​CovectorLattice |CovectorLattice]]''​**|[[.:​tropical|tropical]]|Objects|Combinatorics|
 +|**''​[[.:​tropical:​CovectorLattice#​COVECTORS |COVECTORS]]''​**|[[.:​tropical|tropical]]|property of CovectorLattice|Combinatorics|
 +|**''​[[.:​tropical#​covectors |covectors]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition,​Scalar%%>>​%% points, [[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition,​Scalar%%>>​%% generators)''​**|[[.:​tropical|tropical]]|Functions|Tropical covector decomposition|
 +|**''​[[.:​tropical#​covectors_of_scalar_vertices |covectors_of_scalar_vertices]]([[.:​common#​Matrix |Matrix]]<​Scalar>​ points, [[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition,​Scalar%%>>​%% generators)''​**|[[.:​tropical|tropical]]|Functions|Tropical covector decomposition|
 +|**''​[[.:​graph#​covering_relations |covering_relations]]([[.:​graph:​Graph |Graph]]<​[[.:​common#​Directed |Directed]]>​ P)''​**|[[.:​graph|graph]]|Functions|Posets|
 +|**''​[[.:​polytope#​coxeter_group |coxeter_group]]([[.:​common#​String |String]] type)''​**|[[.:​polytope|polytope]]|Functions|Producing other objects|
 +|**''​[[.:​polytope:​Polytope#​CP_INDICES |CP_INDICES]]''​**|[[.:​polytope|polytope]]|property of Polytope|no category|
 +|**''​[[.:​fulton:​VersalComponent#​CQS_MATRIX |CQS_MATRIX]]''​**|[[.:​fulton|fulton]]|property of VersalComponent|Combinatorics|
 +|**''​[[.:​common#​cramer |cramer]]([[.:​common#​Matrix |Matrix]] A, [[.:​common#​Vector |Vector]] b)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​tropical#​cramer |cramer]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]>​ matrix)''​**|[[.:​tropical|tropical]]|Functions|Tropical operations|
 +|**''​[[.:​common:​PolyDB_Client#​create_database_admin |create_database_admin]]()''​**|[[.:​common|common]]|method of PolyDB::​Client|Database Administration|
 +|**''​[[.:​core#​create_permissive_schema |create_permissive_schema]](Any object ...)''​**|[[.:​core|core]]|Functions|Schemas|
 +|**''​[[.:​core#​create_restrictive_schema |create_restrictive_schema]](Any object)''​**|[[.:​core|core]]|Functions|Schemas|
 +|**''​[[.:​common:​PolyDB_Client#​create_user |create_user]]()''​**|[[.:​common|common]]|method of PolyDB::​Client|Database Administration|
 +|**''​[[.:​topaz:​MorseMatching#​CRITICAL_FACE_VECTOR |CRITICAL_FACE_VECTOR]]''​**|[[.:​topaz|topaz]]|property of MorseMatching|no category|
 +|**''​[[.:​topaz:​MorseMatching#​CRITICAL_FACES |CRITICAL_FACES]]''​**|[[.:​topaz|topaz]]|property of MorseMatching|no category|
 +|**''​[[.:​polytope#​cross |cross]]<​Scalar>​([[.:​common#​Int |Int]] d, Scalar scale)''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​tropical#​cross_variety |cross_variety]]<​Addition>​([[.:​common#​Int |Int]] n, [[.:​common#​Int |Int]] k, [[.:​common#​Rational |Rational]] h, [[.:​common#​Integer |Integer]] weight)''​**|[[.:​tropical|tropical]]|Functions|Creation functions for specific cycles|
 +|**''​[[.:​polytope#​crosscut_complex |crosscut_complex]]([[.:​polytope:​Polytope |Polytope]] p)''​**|[[.:​polytope|polytope]]|Functions|Producing other objects|
 +|**''​[[.:​polytope:​VoronoiPolyhedron#​CRUST_GRAPH |CRUST_GRAPH]]''​**|[[.:​polytope|polytope]]|property of VoronoiPolyhedron|no category|
 +|**''​[[.:​polytope:​Polytope#​CS_PERMUTATION |CS_PERMUTATION]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope#​cs_quotient |cs_quotient]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Quotient spaces|
 +|**''​[[.:​polytope#​cube |cube]]<​Scalar>​([[.:​common#​Int |Int]] d, Scalar x_up, Scalar x_low)''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​topaz#​cube_complex |cube_complex]]([[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]> x)''​**|[[.:​topaz|topaz]]|Functions|Producing from scratch|
 +|**''​[[.:​group#​cube_group |cube_group]]([[.:​common#​Int |Int]] d)''​**|[[.:​group|group]]|Functions|Producing a group|
 +|**''​[[.:​tropical:​LinesInCubic#​CUBIC |CUBIC]]''​**|[[.:​tropical|tropical]]|property of LinesInCubic|Defining properties|
 +|**''​[[.:​polytope:​Polytope#​CUBICAL |CUBICAL]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​CUBICAL_H_VECTOR |CUBICAL_H_VECTOR]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​CUBICALITY |CUBICALITY]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope#​cuboctahedron |cuboctahedron]]()''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​tropical:​Cycle#​CURVE_EDGE_LENGTHS |CURVE_EDGE_LENGTHS]]()''​**|[[.:​tropical|tropical]]|method of Cycle|Weights and lattices|
 +|**''​[[.:​tropical#​cutting_functions |cutting_functions]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ F, [[.:​common#​Vector |Vector]]<​[[.:​common#​Integer |Integer]]>​ weight_aim)''​**|[[.:​tropical|tropical]]|Functions|Inverse problems|
 +|**''​[[.:​tropical:​Cycle#​Cycle |Cycle]]<​Addition>''​**|[[.:​tropical|tropical]]|Objects|no category|
 +|**''​[[.:​graph#​cycle_graph |cycle_graph]]([[.:​common#​Int |Int]] n)''​**|[[.:​graph|graph]]|Functions|Producing a graph|
 +|**''​[[.:​topaz#​CycleGroup |CycleGroup]]<​Scalar>''​**|[[.:​topaz|topaz]]|Property_types|Topology|
 +|**''​[[.:​topaz:​SimplicialComplex#​CYCLES |CYCLES]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Topology|
 +|**''​[[.:​polytope#​cyclic |cyclic]]([[.:​common#​Int |Int]] d, [[.:​common#​Int |Int]] n)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​tropical#​cyclic |cyclic]]<​Addition>​([[.:​common#​Int |Int]] d, [[.:​common#​Int |Int]] n)''​**|[[.:​tropical|tropical]]|Functions|Producing a tropical polytope|
 +|**''​[[.:​polytope#​cyclic_caratheodory |cyclic_caratheodory]]([[.:​common#​Int |Int]] d, [[.:​common#​Int |Int]] n)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​group#​cyclic_group |cyclic_group]]([[.:​common#​Int |Int]] d)''​**|[[.:​group|group]]|Functions|Producing a group|
 +|**''​[[.:​fulton:​CyclicQuotient#​CyclicQuotient |CyclicQuotient]]''​**|[[.:​fulton|fulton]]|Objects|no category|
 +|**''​[[.:​polytope#​cylinder_2 |cylinder_2]]()''​**|[[.:​polytope|polytope]]|Functions|Quotient spaces|
 +|**''​[[.:​polytope#​davis_manifold |davis_manifold]]()''​**|[[.:​polytope|polytope]]|Functions|Quotient spaces|
 +|**''​[[.:​topaz:​HyperbolicSurface#​DCEL_DATA |DCEL_DATA]]''​**|[[.:​topaz|topaz]]|property of HyperbolicSurface|no category|
 +|**''​[[.:​tropical#​decomposition_polytope |decomposition_polytope]]([[.:​tropical:​Cycle |Cycle]] A)''​**|[[.:​tropical|tropical]]|Functions|Weight space|
 +|**''​[[.:​graph:​Lattice#​DECORATION |DECORATION]]''​**|[[.:​graph|graph]]|property of Lattice|Combinatorics|
 +|**''​[[.:​common#​UniPolynomial |deg]]()''​**|[[.:​common|common]]|method of UniPolynomial|no category|
 +|**''​[[.:​common#​Polynomial |deg]]()''​**|[[.:​common|common]]|method of Polynomial|no category|
 +|**''​[[.:​fulton:​NormalToricVariety#​DEGENERATE |DEGENERATE]]''​**|[[.:​fulton|fulton]]|property of NormalToricVariety|Algebraic Geometry|
 +|**''​[[.:​common#​GraphAdjacency |degree]]([[.:​common#​Int |Int]] node)''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​polytope#​degree |degree]]<​Scalar>​([[.:​polytope:​PointConfiguration |PointConfiguration]] P)''​**|[[.:​polytope|polytope]]|Functions|Combinatorics|
 +|**''​[[.:​group:​Action#​DEGREE |DEGREE]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​tropical:​Cycle#​DEGREE |DEGREE]]''​**|[[.:​tropical|tropical]]|property of Cycle|Intersection theory|
 +|**''​[[.:​tropical#​degree |degree]]([[.:​tropical:​Cycle |Cycle]] A)''​**|[[.:​tropical|tropical]]|Functions|Intersection theory|
 +|**''​[[.:​polytope:​Cone#​DEGREE_ONE_GENERATORS |DEGREE_ONE_GENERATORS]]''​**|[[.:​polytope|polytope]]|property of Cone|Lattice points in cones|
 +|**''​[[.:​graph:​Graph#​DEGREE_SEQUENCE |DEGREE_SEQUENCE]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​polytope:​VoronoiPolyhedron#​DELAUNAY_DIAGRAM |DELAUNAY_DIAGRAM]]''​**|[[.:​polytope|polytope]]|property of VoronoiPolyhedron|no category|
 +|**''​[[.:​polytope:​VoronoiPolyhedron#​DELAUNAY_GRAPH |DELAUNAY_GRAPH]]''​**|[[.:​polytope|polytope]]|property of VoronoiPolyhedron|no category|
 +|**''​[[.:​polytope:​VoronoiPolyhedron#​DELAUNAY_TRIANGULATION |DELAUNAY_TRIANGULATION]]''​**|[[.:​polytope|polytope]]|property of VoronoiPolyhedron|no category|
 +|**''​[[.:​polytope#​delaunay_triangulation |delaunay_triangulation]]([[.:​polytope:​VoronoiPolyhedron |VoronoiPolyhedron]] V)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​common#​GraphAdjacency |delete_all_edges]]([[.:​common#​Int |Int]] tail_node, [[.:​common#​Int |Int]] head_node)''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​common#​GraphAdjacency |delete_edge]]''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​common#​GraphAdjacency |delete_node]]([[.:​common#​Int |Int]] node)''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​common:​PolyDB_Client#​delete_user |delete_user]]([[.:​common#​String |String]] user)''​**|[[.:​common|common]]|method of PolyDB::​Client|Database Administration|
 +|**''​[[.:​matroid#​deletion |deletion]]([[.:​matroid:​Matroid |Matroid]] m, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> S)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from matroids|
 +|**''​[[.:​matroid#​deletion |deletion]]([[.:​matroid:​Matroid |Matroid]] m, [[.:​common#​Int |Int]] x)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from matroids|
 +|**''​[[.:​topaz#​deletion |deletion]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> face)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​polytope#​deletion |deletion]]([[.:​polytope:​VectorConfiguration |VectorConfiguration]] C, [[.:​common#​Int |Int]] v)''​**|[[.:​polytope|polytope]]|Functions|Combinatorics|
 +|**''​[[.:​tropical:​Cycle#​delocalize |delocalize]]()''​**|[[.:​tropical|tropical]]|method of Cycle|Local computations|
 +|**''​[[.:​polytope#​delpezzo |delpezzo]]([[.:​common#​Int |Int]] d, Scalar scale)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​common#​denominator |denominator]]([[.:​common#​Rational |Rational]] a)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​common#​denominator |denominator]]([[.:​common#​RationalFunction |RationalFunction]] f)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​common#​denominator |denominator]]([[.:​common#​PuiseuxFraction |PuiseuxFraction]] f)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​tropical:​TropicalRationalFunction#​DENOMINATOR |DENOMINATOR]]''​**|[[.:​tropical|tropical]]|property of TropicalRationalFunction|Defining morphisms and functions|
 +|**''​[[.:​common#​dense |dense]]([[.:​common#​Vector |Vector]] v)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​common#​dense |dense]]([[.:​common#​Matrix |Matrix]] m)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​common#​dense |dense]]<​Element>​([[.:​common#​SparseVector |SparseVector]]<​Element>​ v)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​common#​dense |dense]]<​Element>​([[.:​common#​SparseMatrix |SparseMatrix]]<​Element>​ m)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​common#​dense |dense]]([[.:​common#​IncidenceMatrix |IncidenceMatrix]] m)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​common#​dense |dense]]([[.:​common#​Set |Set]] s, [[.:​common#​Int |Int]] dim)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​ideal:​Ideal#​DEPTH |DEPTH]]''​**|[[.:​ideal|ideal]]|property of Ideal|Commutative algebra|
 +|**''​[[.:​core:​Core_BigObject#​description |description]]''​**|[[.:​core|core]]|method of Core::​BigObject|no category|
 +|**''​[[.:​common#​det |det]]([[.:​common#​Matrix |Matrix]]<//​Scalar//>​ A)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​common#​diag |diag]]([[.:​common#​Vector |Vector]] d)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​common#​diag |diag]]([[.:​common#​Matrix |Matrix]] m1, [[.:​common#​Matrix |Matrix]] m2)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​common#​Matrix |diagonal]]([[.:​common#​Int |Int]] i)''​**|[[.:​common|common]]|method of Matrix|no category|
 +|**''​[[.:​polytope:​Cone#​DIAMETER |DIAMETER]]()''​**|[[.:​polytope|polytope]]|method of Cone|Backward compatibility|
 +|**''​[[.:​graph:​Graph#​DIAMETER |DIAMETER]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​polytope#​dihedral_angle |dihedral_angle]]([[.:​common#​Vector |Vector]]<​Scalar>​ H1, [[.:​common#​Vector |Vector]]<​Scalar>​ H2)''​**|[[.:​polytope|polytope]]|Functions|Geometry|
 +|**''​[[.:​polytope:​Polytope#​DIHEDRAL_ANGLES |DIHEDRAL_ANGLES]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​group#​dihedral_group |dihedral_group]]([[.:​common#​Int |Int]] o)''​**|[[.:​group|group]]|Functions|Producing a group|
 +|**''​[[.:​topaz:​SimplicialComplex#​DIM |DIM]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Combinatorics|
 +|**''​[[.:​topaz:​SimplicialComplex#​dim |dim]]''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|no category|
 +|**''​[[.:​topaz#​Filtration |dim]]()''​**|[[.:​topaz|topaz]]|method of Filtration|no category|
 +|**''​[[.:​topaz#​ChainComplex |dim]]()''​**|[[.:​topaz|topaz]]|method of ChainComplex|no category|
 +|**''​[[.:​common#​GraphAdjacency |dim]]()''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​common#​Vector |dim]]()''​**|[[.:​common|common]]|method of Vector|no category|
 +|**''​[[.:​ideal:​Ideal#​DIM |DIM]]''​**|[[.:​ideal|ideal]]|property of Ideal|Commutative algebra|
 +|**''​[[.:​polytope:​Polytope#​DIM |DIM]]()''​**|[[.:​polytope|polytope]]|method of Polytope|Geometry|
 +|**''​[[.:​polytope:​Cone#​dim |dim]]()''​**|[[.:​polytope|polytope]]|method of Cone|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​DIM |DIM]]()''​**|[[.:​polytope|polytope]]|method of Cone|Geometry|
 +|**''​[[.:​polytope:​PointConfiguration#​DIM |DIM]]()''​**|[[.:​polytope|polytope]]|method of PointConfiguration|Geometry|
 +|**''​[[.:​polytope:​QuotientSpace#​DIM |DIM]]''​**|[[.:​polytope|polytope]]|property of QuotientSpace|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralComplex#​DIM |DIM]]()''​**|[[.:​fan|fan]]|method of PolyhedralComplex|Geometry|
 +|**''​[[.:​fan:​PolyhedralFan#​dim |dim]]()''​**|[[.:​fan|fan]]|method of PolyhedralFan|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralFan#​DIM |DIM]]()''​**|[[.:​fan|fan]]|method of PolyhedralFan|Geometry|
 +|**''​[[.:​fan:​SubdivisionOfPoints#​DIM |DIM]]''​**|[[.:​fan|fan]]|method of SubdivisionOfPoints|Geometry|
 +|**''​[[.:​tropical:​CovectorLattice#​dim |dim]]''​**|[[.:​tropical|tropical]]|method of CovectorLattice|Combinatorics|
 +|**''​[[.:​fulton:​VersalComponent#​DIMENSION |DIMENSION]]''​**|[[.:​fulton|fulton]]|property of VersalComponent|Combinatorics|
 +|**''​[[.:​graph:​Lattice#​DIMS |DIMS]]''​**|[[.:​graph|graph]]|property of Lattice|Combinatorics|
 +|**''​[[.:​matroid#​direct_sum |direct_sum]]([[.:​matroid:​Matroid |Matroid]] m_1, [[.:​matroid:​Matroid |Matroid]] m_2)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from matroids|
 +|**''​[[.:​common#​Directed |Directed]]''​**|[[.:​common|common]]|Property_types|Artificial|
 +|**''​[[.:​polytope:​LinearProgram#​DIRECTED_BOUNDED_GRAPH |DIRECTED_BOUNDED_GRAPH]]''​**|[[.:​polytope|polytope]]|property of LinearProgram|no category|
 +|**''​[[.:​polytope:​Visual_SchlegelDiagram#​DIRECTED_GRAPH |DIRECTED_GRAPH]]([[.:​polytope:​LinearProgram |LinearProgram]] lp)''​**|[[.:​polytope|polytope]]|method of Visual::​SchlegelDiagram|no category|
 +|**''​[[.:​polytope:​Visual_PolytopeGraph#​DIRECTED_GRAPH |DIRECTED_GRAPH]]([[.:​polytope:​LinearProgram |LinearProgram]] lp)''​**|[[.:​polytope|polytope]]|method of Visual::​PolytopeGraph|no category|
 +|**''​[[.:​polytope:​Visual_Polytope#​DIRECTED_GRAPH |DIRECTED_GRAPH]]([[.:​polytope:​LinearProgram |LinearProgram]] lp)''​**|[[.:​polytope|polytope]]|method of Visual::​Polytope|no category|
 +|**''​[[.:​polytope:​LinearProgram#​DIRECTED_GRAPH |DIRECTED_GRAPH]]''​**|[[.:​polytope|polytope]]|property of LinearProgram|no category|
 +|**''​[[.:​common#​DirectedMulti |DirectedMulti]]''​**|[[.:​common|common]]|Property_types|Artificial|
 +|**''​[[.:​core:​Core_BigObject#​disable_rules |disable_rules]]([[.:​common#​String |String]] pattern)''​**|[[.:​core|core]]|method of Core::​BigObject|no category|
 +|**''​[[.:​core#​disable_rules |disable_rules]]([[.:​common#​String |String]] pattern)''​**|[[.:​core|core]]|Functions|Basic|
 +|**''​[[.:​topaz#​disjoint_union |disjoint_union]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex1, [[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex2)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​common#​distance_matrix |distance_matrix]]([[.:​common#​Matrix |Matrix]] S, CODE d)''​**|[[.:​common|common]]|Functions|Utilities|
 +|**''​[[.:​common:​PolyDB_Collection#​distinct |distinct]](HASH query, [[.:​common#​String |String]] property)''​**|[[.:​common|common]]|method of PolyDB::​Collection|Database Query Operations|
 +|**''​[[.:​common#​Div |Div]]<​Scalar>''​**|[[.:​common|common]]|Property_types|Arithmetic|
 +|**''​[[.:​common#​div |div]](//​Scalar//​ a, //Scalar// b)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​common#​Vector |div_exact]]([[.:​common#​Int |Int]] a)''​**|[[.:​common|common]]|method of Vector|no category|
 +|**''​[[.:​common#​Matrix |div_exact]]([[.:​common#​Int |Int]] a)''​**|[[.:​common|common]]|method of Matrix|no category|
 +|**''​[[.:​common#​div_exact |div_exact]]([[.:​common#​Integer |Integer]] a, [[.:​common#​Integer |Integer]] b)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​ideal:​Groebner#​division |division]]''​**|[[.:​ideal|ideal]]|method of Groebner|no category|
 +|**''​[[.:​fulton:​NormalToricVariety#​DIVISOR |DIVISOR]]''​**|[[.:​fulton|fulton]]|property of NormalToricVariety|Algebraic Geometry|
 +|**''​[[.:​tropical#​divisor |divisor]]([[.:​tropical:​Cycle |Cycle]] C, [[.:​tropical:​TropicalRationalFunction |TropicalRationalFunction]] F)''​**|[[.:​tropical|tropical]]|Functions|Divisor computation|
 +|**''​[[.:​tropical#​divisor_nr |divisor_nr]]([[.:​tropical:​Cycle |Cycle]] C, [[.:​tropical:​TropicalRationalFunction |TropicalRationalFunction]] F)''​**|[[.:​tropical|tropical]]|Functions|Divisor computation|
 +|**''​[[.:​polytope#​dodecahedron |dodecahedron]]()''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​tropical:​TropicalRationalFunction#​DOMAIN |DOMAIN]]''​**|[[.:​tropical|tropical]]|property of TropicalRationalFunction|Defining morphisms and functions|
 +|**''​[[.:​tropical:​Morphism#​DOMAIN |DOMAIN]]''​**|[[.:​tropical|tropical]]|property of Morphism|Defining morphisms and functions|
 +|**''​[[.:​group:​Action#​DOMAIN_NAME |DOMAIN_NAME]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​tropical:​Hypersurface#​DOME |DOME]]''​**|[[.:​tropical|tropical]]|property of Hypersurface|no category|
 +|**''​[[.:​tropical:​Polytope#​DOME |DOME]]''​**|[[.:​tropical|tropical]]|property of Polytope|Geometry|
 +|**''​[[.:​core:​Core_BigObject#​dont_save |dont_save]]''​**|[[.:​core|core]]|method of Core::​BigObject|no category|
 +|**''​[[.:​matroid:​Matroid#​DUAL |DUAL]]''​**|[[.:​matroid|matroid]]|property of Matroid|Duality|
 +|**''​[[.:​matroid#​dual |dual]]([[.:​matroid:​Matroid |Matroid]] m)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from matroids|
 +|**''​[[.:​matroid#​dual |dual]]([[.:​matroid:​ValuatedMatroid |ValuatedMatroid]]<​Addition,​Scalar>​ M)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from matroids|
 +|**''​[[.:​tropical#​dual_addition_version |dual_addition_version]]([[.:​tropical:​Polytope |Polytope]]<​Addition,​Scalar>​ polytope, [[.:​common#​Bool |Bool]] strong_conversion)''​**|[[.:​tropical|tropical]]|Functions|Conversion of tropical addition|
 +|**''​[[.:​tropical#​dual_addition_version |dual_addition_version]]([[.:​common#​TropicalNumber |TropicalNumber]]<​Addition,​Scalar>​ number, [[.:​common#​Bool |Bool]] strong_conversion)''​**|[[.:​tropical|tropical]]|Functions|Conversion of tropical addition|
 +|**''​[[.:​tropical#​dual_addition_version |dual_addition_version]]([[.:​common#​Vector |Vector]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition,​Scalar%%>>​%% vector, [[.:​common#​Bool |Bool]] strong_conversion)''​**|[[.:​tropical|tropical]]|Functions|Conversion of tropical addition|
 +|**''​[[.:​tropical#​dual_addition_version |dual_addition_version]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition,​Scalar%%>>​%% matrix, [[.:​common#​Bool |Bool]] strong_conversion)''​**|[[.:​tropical|tropical]]|Functions|Conversion of tropical addition|
 +|**''​[[.:​tropical#​dual_addition_version |dual_addition_version]]([[.:​common#​Polynomial |Polynomial]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition,​Scalar%%>>​%% polynomial, [[.:​common#​Bool |Bool]] strong_conversion)''​**|[[.:​tropical|tropical]]|Functions|Conversion of tropical addition|
 +|**''​[[.:​tropical#​dual_addition_version |dual_addition_version]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ cycle, [[.:​common#​Bool |Bool]] strong_conversion)''​**|[[.:​tropical|tropical]]|Functions|Conversion of tropical addition|
 +|**''​[[.:​tropical#​dual_addition_version |dual_addition_version]]([[.:​tropical:​MatroidRingCycle |MatroidRingCycle]]<​Addition>​ M)''​**|[[.:​tropical|tropical]]|Functions|Conversion of tropical addition|
 +|**''​[[.:​topaz:​SimplicialComplex#​DUAL_BIPARTITE |DUAL_BIPARTITE]]()''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​DUAL_BOUNDED_H_VECTOR |DUAL_BOUNDED_H_VECTOR]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​topaz:​SimplicialComplex#​DUAL_CONNECTED |DUAL_CONNECTED]]()''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|Topology|
 +|**''​[[.:​topaz:​SimplicialComplex#​DUAL_CONNECTED_COMPONENTS |DUAL_CONNECTED_COMPONENTS]]()''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|Combinatorics|
 +|**''​[[.:​topaz:​SimplicialComplex#​DUAL_CONNECTIVITY |DUAL_CONNECTIVITY]]()''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​DUAL_CONNECTIVITY |DUAL_CONNECTIVITY]]()''​**|[[.:​polytope|polytope]]|method of Cone|Combinatorics|
 +|**''​[[.:​fulton:​CyclicQuotient#​DUAL_CONTINUED_FRACTION |DUAL_CONTINUED_FRACTION]]''​**|[[.:​fulton|fulton]]|property of CyclicQuotient|Input properties|
 +|**''​[[.:​polytope:​Cone#​DUAL_DIAMETER |DUAL_DIAMETER]]()''​**|[[.:​polytope|polytope]]|method of Cone|Backward compatibility|
 +|**''​[[.:​polytope:​Cone#​DUAL_EVEN |DUAL_EVEN]]()''​**|[[.:​polytope|polytope]]|method of Cone|Combinatorics|
 +|**''​[[.:​graph:​Lattice#​dual_faces |dual_faces]]()''​**|[[.:​graph|graph]]|method of Lattice|Combinatorics|
 +|**''​[[.:​topaz:​SimplicialComplex#​DUAL_GRAPH |DUAL_GRAPH]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​DUAL_GRAPH |DUAL_GRAPH]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​DUAL_GRAPH |DUAL_GRAPH]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralFan#​DUAL_GRAPH |DUAL_GRAPH]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Combinatorics|
 +|**''​[[.:​topaz:​SimplicialComplex#​DUAL_GRAPH_SIGNATURE |DUAL_GRAPH_SIGNATURE]]()''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​DUAL_GRAPH_SIGNATURE |DUAL_GRAPH_SIGNATURE]]()''​**|[[.:​polytope|polytope]]|method of Cone|Topology|
 +|**''​[[.:​polytope:​Polytope#​DUAL_H_VECTOR |DUAL_H_VECTOR]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope#​dual_linear_program |dual_linear_program]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​common#​Bool |Bool]] maximize)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​topaz:​SimplicialComplex#​DUAL_MAX_CLIQUES |DUAL_MAX_CLIQUES]]()''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|Combinatorics|
 +|**''​[[.:​tropical:​Hypersurface#​DUAL_SUBDIVISION |DUAL_SUBDIVISION]]''​**|[[.:​tropical|tropical]]|property of Hypersurface|Combinatorics|
 +|**''​[[.:​tropical:​Hypersurface#​dual_subdivision |dual_subdivision]]()''​**|[[.:​tropical|tropical]]|method of Hypersurface|Combinatorics|
 +|**''​[[.:​fan:​PlanarNet#​DUAL_TREE |DUAL_TREE]]''​**|[[.:​fan|fan]]|property of PlanarNet|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​DUAL_TRIANGLE_FREE |DUAL_TRIANGLE_FREE]]()''​**|[[.:​polytope|polytope]]|method of Cone|Backward compatibility|
 +|**''​[[.:​topaz#​dualOutitudePolynomials |dualOutitudePolynomials]]([[.:​common#​Array |Array]]<​[[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]%%>>​%% dcel_data)''​**|[[.:​topaz|topaz]]|Functions|Other|
 +|**''​[[.:​polytope#​dwarfed_cube |dwarfed_cube]]([[.:​common#​Int |Int]] d)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​polytope#​dwarfed_product_polygons |dwarfed_product_polygons]]([[.:​common#​Int |Int]] d, [[.:​common#​Int |Int]] s)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​common#​EdgeHashMap |edge]]([[.:​common#​Int |Int]] from, [[.:​common#​Int |Int]] to)''​**|[[.:​common|common]]|method of EdgeHashMap|no category|
 +|**''​[[.:​common#​GraphAdjacency |edge]]([[.:​common#​Int |Int]] tail_node, [[.:​common#​Int |Int]] head_node)''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​common#​EdgeMap |edge]]([[.:​common#​Int |Int]] from, [[.:​common#​Int |Int]] to)''​**|[[.:​common|common]]|method of EdgeMap|no category|
 +|**''​[[.:​polytope:​Polytope#​EDGE_COLORS |EDGE_COLORS]]''​**|[[.:​polytope|polytope]]|property of Polytope|no category|
 +|**''​[[.:​polytope:​Visual_PolytopeGraph#​EDGE_COLORS |EDGE_COLORS]]()''​**|[[.:​polytope|polytope]]|method of Visual::​PolytopeGraph|no category|
 +|**''​[[.:​topaz#​edge_contraction |edge_contraction]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​polytope:​Polytope#​EDGE_DIRECTIONS |EDGE_DIRECTIONS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​Polytope#​EDGE_DIRECTIONS |EDGE_DIRECTIONS]]''​**|[[.:​polytope|polytope]]|property of Polytope|no category|
 +|**''​[[.:​common#​GraphAdjacency |edge_exists]]([[.:​common#​Int |Int]] tail_node, [[.:​common#​Int |Int]] head_node)''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​polytope:​Polytope#​EDGE_LENGTHS |EDGE_LENGTHS]]''​**|[[.:​polytope|polytope]]|property of Polytope|no category|
 +|**''​[[.:​graph#​edge_lengths |edge_lengths]]([[.:​common#​GraphAdjacency |GraphAdjacency]]<​[[.:​common#​Directed |Directed]]>​ G, [[.:​common#​Matrix |Matrix]] coords)''​**|[[.:​graph|graph]]|Functions|Other|
 +|**''​[[.:​polytope#​edge_middle |edge_middle]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​polytope:​Polytope#​EDGE_ORIENTABLE |EDGE_ORIENTABLE]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope#​edge_orientable |edge_orientable]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Other|
 +|**''​[[.:​polytope:​Polytope#​EDGE_ORIENTATION |EDGE_ORIENTATION]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​topaz:​SimplicialComplex#​EDGE_WEIGHTS |EDGE_WEIGHTS]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|no category|
 +|**''​[[.:​common#​EdgeHashMap |EdgeHashMap]]<​Dir,​ Element>''​**|[[.:​common|common]]|Property_types|Graph Types|
 +|**''​[[.:​common#​EdgeIterator |EdgeIterator]]''​**|[[.:​common|common]]|Property_types|Artificial|
 +|**''​[[.:​common#​EdgeList |EdgeList]]''​**|[[.:​common|common]]|Property_types|Artificial|
 +|**''​[[.:​common#​EdgeMap |EdgeMap]]<​Dir,​ Element>''​**|[[.:​common|common]]|Property_types|Graph Types|
 +|**''​[[.:​common#​GraphAdjacency |edges]]()''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​common#​edges |edges]]([[.:​common#​GraphAdjacency |GraphAdjacency]] graph)''​**|[[.:​common|common]]|Functions|Graph Operations|
 +|**''​[[.:​graph:​Graph#​EDGES |EDGES]]()''​**|[[.:​graph|graph]]|method of Graph|Combinatorics|
 +|**''​[[.:​fulton:​TDivisor#​EFFECTIVE |EFFECTIVE]]''​**|[[.:​fulton|fulton]]|property of TDivisor|Algebraic Geometry|
 +|**''​[[.:​fulton:​NormalToricVariety#​EFFECTIVE_CONE |EFFECTIVE_CONE]]''​**|[[.:​fulton|fulton]]|property of NormalToricVariety|Algebraic Geometry|
 +|**''​[[.:​polytope:​Polytope#​EHRHART_POLYNOMIAL |EHRHART_POLYNOMIAL]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​polytope:​Polytope#​EHRHART_POLYNOMIAL_COEFF |EHRHART_POLYNOMIAL_COEFF]]()''​**|[[.:​polytope|polytope]]|method of Polytope|Lattice points in cones|
 +|**''​[[.:​polytope:​Polytope#​EHRHART_QUASI_POLYNOMIAL |EHRHART_QUASI_POLYNOMIAL]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​common#​eigenvalues |eigenvalues]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​Float |Float]]>​ A)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​graph:​Graph#​EIGENVALUES_LAPLACIAN |EIGENVALUES_LAPLACIAN]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​graph#​eigenvalues_laplacian |eigenvalues_laplacian]]([[.:​graph:​Graph |Graph]] G)''​**|[[.:​graph|graph]]|Functions|Combinatorics|
 +|**''​[[.:​graph#​eigenvalues_laplacian |eigenvalues_laplacian]]([[.:​graph:​Graph |Graph]] G)''​**|[[.:​graph|graph]]|Functions|Combinatorics|
 +|**''​[[.:​common#​Matrix |elem]]([[.:​common#​Int |Int]] r, [[.:​common#​Int |Int]] c)''​**|[[.:​common|common]]|method of Matrix|no category|
 +|**''​[[.:​common#​IncidenceMatrix |elem]]([[.:​common#​Int |Int]] r, [[.:​common#​Int |Int]] c)''​**|[[.:​common|common]]|method of IncidenceMatrix|no category|
 +|**''​[[.:​common#​eliminate_denominators |eliminate_denominators]]([[.:​common#​Vector |Vector]] v)''​**|[[.:​common|common]]|Functions|Lattice Tools|
 +|**''​[[.:​common#​eliminate_denominators_entire |eliminate_denominators_entire]]([[.:​common#​Matrix |Matrix]] v)''​**|[[.:​common|common]]|Functions|Lattice Tools|
 +|**''​[[.:​common#​eliminate_denominators_entire_affine |eliminate_denominators_entire_affine]]([[.:​common#​Matrix |Matrix]] v)''​**|[[.:​common|common]]|Functions|Lattice Tools|
 +|**''​[[.:​common#​eliminate_denominators_in_rows |eliminate_denominators_in_rows]]([[.:​common#​Matrix |Matrix]] M)''​**|[[.:​common|common]]|Functions|Lattice Tools|
 +|**''​[[.:​common#​Polynomial |embed]]([[.:​common#​Int |Int]] nvars)''​**|[[.:​common|common]]|method of Polynomial|no category|
 +|**''​[[.:​tropical#​empty_cycle |empty_cycle]]<​Addition>​([[.:​common#​Int |Int]] ambient_dim)''​**|[[.:​tropical|tropical]]|Functions|Creation functions for specific cycles|
 +|**''​[[.:​tropical:​Polytope#​ENVELOPE |ENVELOPE]]''​**|[[.:​tropical|tropical]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​Cone#​EPSILON |EPSILON]]''​**|[[.:​polytope|polytope]]|property of Cone|Geometry|
 +|**''​[[.:​common#​equal_bases |equal_bases]]([[.:​common#​Matrix |Matrix]] M1, [[.:​common#​Matrix |Matrix]] M2)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​polytope#​equal_polyhedra |equal_polyhedra]]([[.:​polytope:​Polytope |Polytope]] P1, [[.:​polytope:​Polytope |Polytope]] P2)''​**|[[.:​polytope|polytope]]|Functions|Comparing|
 +|**''​[[.:​polytope:​Polytope#​EQUATIONS |EQUATIONS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Input property|
 +|**''​[[.:​polytope:​Cone#​EQUATIONS |EQUATIONS]]''​**|[[.:​polytope|polytope]]|property of Cone|Input property|
 +|**''​[[.:​group:​Action#​EQUATIONS_GENERATORS |EQUATIONS_GENERATORS]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​common#​EdgeHashMap |erase]]([[.:​common#​Int |Int]] from, [[.:​common#​Int |Int]] to)''​**|[[.:​common|common]]|method of EdgeHashMap|no category|
 +|**''​[[.:​common#​FacetList |erase]]([[.:​common#​Set |Set]] f)''​**|[[.:​common|common]]|method of FacetList|no category|
 +|**''​[[.:​common#​FacetList |eraseSubsets]]([[.:​common#​Set |Set]] s)''​**|[[.:​common|common]]|method of FacetList|no category|
 +|**''​[[.:​common#​FacetList |eraseSupersets]]([[.:​common#​Set |Set]] s)''​**|[[.:​common|common]]|method of FacetList|no category|
 +|**''​[[.:​polytope:​Cone#​ESSENTIALLY_GENERIC |ESSENTIALLY_GENERIC]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​topaz:​SimplicialComplex#​EULER_CHARACTERISTIC |EULER_CHARACTERISTIC]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Topology|
 +|**''​[[.:​common#​UniPolynomial |evaluate]](Coefficient x, Exponent exp)''​**|[[.:​common|common]]|method of UniPolynomial|no category|
 +|**''​[[.:​common#​evaluate |evaluate]]([[.:​common#​PuiseuxFraction |PuiseuxFraction]] f, //​Coefficient//​ x, [[.:​common#​Int |Int]] exp)''​**|[[.:​common|common]]|Functions|no category|
 +|**''​[[.:​common#​evaluate |evaluate]]([[.:​common#​Matrix |Matrix]] m, Coefficient x, [[.:​common#​Int |Int]] exp)''​**|[[.:​common|common]]|Functions|no category|
 +|**''​[[.:​common#​evaluate |evaluate]]([[.:​common#​Vector |Vector]] v, Coefficient x, [[.:​common#​Int |Int]] exp)''​**|[[.:​common|common]]|Functions|no category|
 +|**''​[[.:​common#​UniPolynomial |evaluate_float]]([[.:​common#​Float |Float]] x)''​**|[[.:​common|common]]|method of UniPolynomial|no category|
 +|**''​[[.:​common#​evaluate_float |evaluate_float]]([[.:​common#​PuiseuxFraction |PuiseuxFraction]] f, [[.:​common#​Float |Float]] x)''​**|[[.:​common|common]]|Functions|no category|
 +|**''​[[.:​common#​evaluate_float |evaluate_float]]([[.:​common#​Matrix |Matrix]] m, [[.:​common#​Float |Float]] x)''​**|[[.:​common|common]]|Functions|no category|
 +|**''​[[.:​common#​evaluate_float |evaluate_float]]([[.:​common#​Vector |Vector]] v, [[.:​common#​Float |Float]] x)''​**|[[.:​common|common]]|Functions|no category|
 +|**''​[[.:​tropical#​evaluation_map |evaluation_map]]<​Addition>​([[.:​common#​Int |Int]] n, [[.:​common#​Matrix |Matrix]]<​[[.:​common#​Rational |Rational]]>​ Delta, [[.:​common#​Int |Int]] i)''​**|[[.:​tropical|tropical]]|Functions|Moduli of rational curves|
 +|**''​[[.:​tropical#​evaluation_map |evaluation_map]]<​Addition>​([[.:​common#​Int |Int]] n, [[.:​common#​Int |Int]] r, [[.:​common#​Int |Int]] d, [[.:​common#​Int |Int]] i)''​**|[[.:​tropical|tropical]]|Functions|Moduli of rational curves|
 +|**''​[[.:​polytope:​Cone#​EVEN |EVEN]]()''​**|[[.:​polytope|polytope]]|method of Cone|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​EXCESS_FACET_DEGREE |EXCESS_FACET_DEGREE]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​EXCESS_RAY_DEGREE |EXCESS_RAY_DEGREE]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​EXCESS_VERTEX_DEGREE |EXCESS_VERTEX_DEGREE]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​core#​exit |exit]]''​**|[[.:​core|core]]|Functions|Interactive|
 +|**''​[[.:​common#​expand |expand]]([[.:​common#​Map |Map]]<​[[.:​common#​Integer |Integer]],​[[.:​common#​Int |Int]]> factorization)''​**|[[.:​common|common]]|Functions|Utilities|
 +|**''​[[.:​group:​Action#​EXPLICIT_ORBIT_REPRESENTATIVE_MATRIX |EXPLICIT_ORBIT_REPRESENTATIVE_MATRIX]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​group:​Action#​EXPLICIT_ORBIT_REPRESENTATIVES |EXPLICIT_ORBIT_REPRESENTATIVES]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​polytope#​explicit_zonotope |explicit_zonotope]]([[.:​common#​Matrix |Matrix]] zones)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​core#​export_configured |export_configured]]([[.:​common#​String |String]] filename)''​**|[[.:​core|core]]|Functions|Interactive|
 +|**''​[[.:​common#​ext_gcd |ext_gcd]](//​Scalar//​ a, //Scalar// b)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​core#​extend_application |extend_application]]([[.:​common#​String |String]] extension, [[.:​common#​String |String]] app_name)''​**|[[.:​core|core]]|Functions|Interactive|
 +|**''​[[.:​common#​ExtGCD |ExtGCD]]<​Scalar>''​**|[[.:​common|common]]|Property_types|Arithmetic|
 +|**''​[[.:​topaz:​SimplicialComplex#​F2_VECTOR |F2_VECTOR]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​F2_VECTOR |F2_VECTOR]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​F2_VECTOR |F2_VECTOR]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralFan#​F2_VECTOR |F2_VECTOR]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Combinatorics|
 +|**''​[[.:​matroid#​f8_matroid |f8_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​matroid:​Matroid#​F_VECTOR |F_VECTOR]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​topaz:​SimplicialComplex#​F_VECTOR |F_VECTOR]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​F_VECTOR |F_VECTOR]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​F_VECTOR |F_VECTOR]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​polytope:​QuotientSpace#​F_VECTOR |F_VECTOR]]''​**|[[.:​polytope|polytope]]|property of QuotientSpace|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralFan#​F_VECTOR |F_VECTOR]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Combinatorics|
 +|**''​[[.:​common#​fac |fac]]([[.:​common#​Int |Int]] n)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​polytope#​face |face]]([[.:​polytope:​Cone |Cone]] P, [[.:​common#​Set |Set]] S)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​graph#​BasicDecoration |face]]()''​**|[[.:​graph|graph]]|method of BasicDecoration|no category|
 +|**''​[[.:​fan#​face_fan |face_fan]]<​Coord>​([[.:​polytope:​Polytope |Polytope]] p, [[.:​common#​Vector |Vector]] v)''​**|[[.:​fan|fan]]|Functions|Producing a fan|
 +|**''​[[.:​fan#​face_fan |face_fan]]<​Coord>​([[.:​polytope:​Polytope |Polytope]] p)''​**|[[.:​fan|fan]]|Functions|Producing a fan|
 +|**''​[[.:​polytope:​QuotientSpace#​FACE_ORBITS |FACE_ORBITS]]''​**|[[.:​polytope|polytope]]|property of QuotientSpace|Combinatorics|
 +|**''​[[.:​polytope#​face_pair |face_pair]]([[.:​polytope:​Cone |Cone]] P, [[.:​common#​Set |Set]] S)''​**|[[.:​polytope|polytope]]|Functions|Other|
 +|**''​[[.:​polytope:​Polytope#​FACE_SIMPLICITY |FACE_SIMPLICITY]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​topaz:​Visual_SimplicialComplexLattice#​FACES |FACES]]([[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]> faces)''​**|[[.:​topaz|topaz]]|method of Visual::​SimplicialComplexLattice|no category|
 +|**''​[[.:​topaz:​Visual_SimplicialComplex#​FACES |FACES]]([[.:​common#​String |String]] PROPERTY_NAME)''​**|[[.:​topaz|topaz]]|method of Visual::​SimplicialComplex|no category|
 +|**''​[[.:​topaz#​CycleGroup |faces]]()''​**|[[.:​topaz|topaz]]|method of CycleGroup|no category|
 +|**''​[[.:​polytope:​QuotientSpace#​FACES |FACES]]''​**|[[.:​polytope|polytope]]|property of QuotientSpace|Combinatorics|
 +|**''​[[.:​graph:​Lattice#​FACES |FACES]]''​**|[[.:​graph|graph]]|property of Lattice|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​faces_of_dim |faces_of_dim]]([[.:​polytope:​Cone |Cone]] c)''​**|[[.:​polytope|polytope]]|method of Cone|Combinatorics|
 +|**''​[[.:​polytope:​PointConfiguration#​faces_of_dim |faces_of_dim]]([[.:​polytope:​PointConfiguration |PointConfiguration]] p)''​**|[[.:​polytope|polytope]]|method of PointConfiguration|Combinatorics|
 +|**''​[[.:​polytope:​SchlegelDiagram#​FACET |FACET]]''​**|[[.:​polytope|polytope]]|property of SchlegelDiagram|no category|
 +|**''​[[.:​polytope#​facet |facet]]([[.:​polytope:​Cone |Cone]] P, [[.:​common#​Int |Int]] facet)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​fan#​facet_arrangement |facet_arrangement]]''​**|[[.:​fan|fan]]|Functions|Producing a hyperplane arrangement|
 +|**''​[[.:​polytope:​Cone#​FACET_DEGREES |FACET_DEGREES]]()''​**|[[.:​polytope|polytope]]|method of Cone|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​FACET_LABELS |FACET_LABELS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Visualization|
 +|**''​[[.:​polytope:​Cone#​FACET_LABELS |FACET_LABELS]]''​**|[[.:​polytope|polytope]]|property of Cone|Visualization|
 +|**''​[[.:​tropical:​Cycle#​facet_normal |facet_normal]]([[.:​common#​Int |Int]] i, [[.:​common#​Int |Int]] j)''​**|[[.:​tropical|tropical]]|method of Cycle|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralFan#​FACET_NORMALS |FACET_NORMALS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Geometry|
 +|**''​[[.:​group:​Group#​FACET_NORMALS_ACTION |FACET_NORMALS_ACTION]]''​**|[[.:​group|group]]|property of Group|Symmetry|
 +|**''​[[.:​tropical:​Cycle#​FACET_NORMALS_BY_PAIRS |FACET_NORMALS_BY_PAIRS]]''​**|[[.:​tropical|tropical]]|property of Cycle|Combinatorics|
 +|**''​[[.:​polytope:​SchlegelDiagram#​FACET_POINT |FACET_POINT]]''​**|[[.:​polytope|polytope]]|property of SchlegelDiagram|no category|
 +|**''​[[.:​polytope:​Polytope#​FACET_POINT_LATTICE_DISTANCES |FACET_POINT_LATTICE_DISTANCES]]([[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ v)''​**|[[.:​polytope|polytope]]|method of Polytope|Lattice points in cones|
 +|**''​[[.:​polytope:​Cone#​FACET_SIZES |FACET_SIZES]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​polytope#​facet_to_infinity |facet_to_infinity]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​common#​Int |Int]] i)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​polytope:​Cone#​FACET_TRIANGULATIONS |FACET_TRIANGULATIONS]]''​**|[[.:​polytope|polytope]]|property of Cone|no category|
 +|**''​[[.:​polytope:​PointConfiguration#​FACET_TRIANGULATIONS |FACET_TRIANGULATIONS]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Triangulation and volume|
 +|**''​[[.:​polytope:​Polytope#​FACET_VERTEX_LATTICE_DISTANCES |FACET_VERTEX_LATTICE_DISTANCES]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​polytope:​Polytope#​FACET_VOLUMES |FACET_VOLUMES]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​Polytope#​FACET_WIDTH |FACET_WIDTH]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​polytope:​Polytope#​FACET_WIDTHS |FACET_WIDTHS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​common#​FacetList |FacetList]]''​**|[[.:​common|common]]|Property_types|Set Types|
 +|**''​[[.:​topaz:​SimplicialComplex#​FACETS |FACETS]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​FACETS |FACETS]]''​**|[[.:​polytope|polytope]]|property of Cone|Geometry|
 +|**''​[[.:​group:​Group#​FACETS_ACTION |FACETS_ACTION]]''​**|[[.:​group|group]]|property of Group|Symmetry|
 +|**''​[[.:​group:​Action#​FACETS_GENERATORS |FACETS_GENERATORS]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​polytope:​Cone#​FACETS_THRU_INPUT_RAYS |FACETS_THRU_INPUT_RAYS]]''​**|[[.:​polytope|polytope]]|property of Cone|Geometry|
 +|**''​[[.:​polytope:​Polytope#​FACETS_THRU_POINTS |FACETS_THRU_POINTS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​Cone#​FACETS_THRU_RAYS |FACETS_THRU_RAYS]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​FACETS_THRU_VERTICES |FACETS_THRU_VERTICES]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​common#​factor |factor]]([[.:​common#​Integer |Integer]] n)''​**|[[.:​common|common]]|Functions|Utilities|
 +|**''​[[.:​fan:​PolyhedralFan#​FAN_AMBIENT_DIM |FAN_AMBIENT_DIM]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Geometry|
 +|**''​[[.:​tropical#​fan_decomposition |fan_decomposition]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ C)''​**|[[.:​tropical|tropical]]|Functions|Basic polyhedral operations|
 +|**''​[[.:​fan:​PolyhedralFan#​FAN_DIM |FAN_DIM]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Geometry|
 +|**''​[[.:​fulton:​NormalToricVariety#​FANO |FANO]]''​**|[[.:​fulton|fulton]]|property of NormalToricVariety|Algebraic Geometry|
 +|**''​[[.:​matroid#​fano_matroid |fano_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​polytope#​fano_simplex |fano_simplex]]([[.:​common#​Int |Int]] d)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​polytope:​Polytope#​FAR_FACE |FAR_FACE]]''​**|[[.:​polytope|polytope]]|property of Polytope|Unbounded polyhedra|
 +|**''​[[.:​polytope:​Polytope#​FAR_HYPERPLANE |FAR_HYPERPLANE]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​PointConfiguration#​FAR_POINTS |FAR_POINTS]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Geometry|
 +|**''​[[.:​tropical:​Polytope#​FAR_PSEUDOVERTICES |FAR_PSEUDOVERTICES]]''​**|[[.:​tropical|tropical]]|property of Polytope|Geometry|
 +|**''​[[.:​fan:​PolyhedralComplex#​FAR_VERTICES |FAR_VERTICES]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Geometry|
 +|**''​[[.:​polytope:​Polytope#​FATNESS |FATNESS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​FEASIBLE |FEASIBLE]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​tropical:​Polytope#​FEASIBLE |FEASIBLE]]''​**|[[.:​tropical|tropical]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope#​fiber_polytope |fiber_polytope]]([[.:​polytope:​PointConfiguration |PointConfiguration]] pc, [[.:​polytope:​PointConfiguration |PointConfiguration]] pc)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope#​fiber_polytope |fiber_polytope]]([[.:​polytope:​PointConfiguration |PointConfiguration]] pc, [[.:​polytope:​Polytope |Polytope]] pc)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope#​fiber_polytope |fiber_polytope]]([[.:​polytope:​PointConfiguration |PointConfiguration]] P, [[.:​common#​Matrix |Matrix]] pi)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​common#​fibonacci |fibonacci]]([[.:​common#​Int |Int]] n)''​**|[[.:​common|common]]|Functions|Combinatorics|
 +|**''​[[.:​common#​fibonacci2 |fibonacci2]]([[.:​common#​Int |Int]] n)''​**|[[.:​common|common]]|Functions|Combinatorics|
 +|**''​[[.:​common#​fibonacci_numbers |fibonacci_numbers]]([[.:​common#​Int |Int]] m)''​**|[[.:​common|common]]|Functions|Utilities|
 +|**''​[[.:​topaz#​Filtration |Filtration]]<​MatrixType>''​**|[[.:​topaz|topaz]]|Property_types|Topology|
 +|**''​[[.:​common:​PolyDB_Collection#​find |find]](HASH query)''​**|[[.:​common|common]]|method of PolyDB::​Collection|Database Query Operations|
 +|**''​[[.:​common#​EdgeHashMap |find]]([[.:​common#​Int |Int]] from, [[.:​common#​Int |Int]] to)''​**|[[.:​common|common]]|method of EdgeHashMap|no category|
 +|**''​[[.:​common#​FacetList |find]]([[.:​common#​Set |Set]] f)''​**|[[.:​common|common]]|method of FacetList|no category|
 +|**''​[[.:​topaz#​find_facet_vertex_permutations |find_facet_vertex_permutations]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex1, [[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex2)''​**|[[.:​topaz|topaz]]|Functions|Comparing|
 +|**''​[[.:​polytope#​find_facet_vertex_permutations |find_facet_vertex_permutations]]([[.:​polytope:​Cone |Cone]] P1, [[.:​polytope:​Cone |Cone]] P2)''​**|[[.:​polytope|polytope]]|Functions|Comparing|
 +|**''​[[.:​graph#​find_lattice_permutation |find_lattice_permutation]]([[.:​graph:​Lattice |Lattice]] L1, [[.:​graph:​Lattice |Lattice]] L2, Permutation permutation)''​**|[[.:​graph|graph]]|Functions|Combinatorics|
 +|**''​[[.:​graph#​find_node_permutation |find_node_permutation]]([[.:​common#​GraphAdjacency |GraphAdjacency]] graph1, [[.:​common#​GraphAdjacency |GraphAdjacency]] graph2)''​**|[[.:​graph|graph]]|Functions|Comparing|
 +|**''​[[.:​common:​PolyDB_Collection#​find_one |find_one]](HASH query)''​**|[[.:​common|common]]|method of PolyDB::​Collection|Database Query Operations|
 +|**''​[[.:​common#​find_permutation |find_permutation]]([[.:​common#​Array |Array]] a, [[.:​common#​Array |Array]] b)''​**|[[.:​common|common]]|Functions|Combinatorics|
 +|**''​[[.:​graph#​find_row_col_permutation |find_row_col_permutation]]([[.:​common#​IncidenceMatrix |IncidenceMatrix]]<​[[.:​common#​NonSymmetric |NonSymmetric]]>​ m1, [[.:​common#​IncidenceMatrix |IncidenceMatrix]]<​[[.:​common#​NonSymmetric |NonSymmetric]]>​ m2)''​**|[[.:​graph|graph]]|Functions|Comparing|
 +|**''​[[.:​polytope#​find_transitive_lp_sol |find_transitive_lp_sol]]([[.:​common#​Matrix |Matrix]] Inequalities)''​**|[[.:​polytope|polytope]]|Functions|Optimization|
 +|**''​[[.:​common#​FacetList |findSubsets]]([[.:​common#​Set |Set]] s)''​**|[[.:​common|common]]|method of FacetList|no category|
 +|**''​[[.:​common#​FacetList |findSupersets]]([[.:​common#​Set |Set]] s)''​**|[[.:​common|common]]|method of FacetList|no category|
 +|**''​[[.:​polytope:​Cone#​FLAG_VECTOR |FLAG_VECTOR]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​fan:​PlanarNet#​FLAPS |FLAPS]]''​**|[[.:​fan|fan]]|property of PlanarNet|Combinatorics|
 +|**''​[[.:​fan:​Visual_PlanarNet#​FLAPS |FLAPS]]()''​**|[[.:​fan|fan]]|method of Visual::​PlanarNet|no category|
 +|**''​[[.:​common#​Flexible |Flexible]]''​**|[[.:​common|common]]|Property_types|Visualization|
 +|**''​[[.:​fan#​flip_tube |flip_tube]]([[.:​graph:​Graph |Graph]] G, [[.:​graph:​Graph |Graph]] T, [[.:​common#​Int |Int]] t)''​**|[[.:​fan|fan]]|Functions|Other|
 +|**''​[[.:​topaz:​HyperbolicSurface#​FLIP_WORDS |FLIP_WORDS]]''​**|[[.:​topaz|topaz]]|property of HyperbolicSurface|no category|
 +|**''​[[.:​topaz#​flips_to_canonical_triangulation |flips_to_canonical_triangulation]]([[.:​common#​Array |Array]]<​[[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]%%>>​%% DCEL_data, [[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ A_coords)''​**|[[.:​topaz|topaz]]|Functions|Other|
 +|**''​[[.:​common#​Float |Float]]''​**|[[.:​common|common]]|Property_types|Basic Types|
 +|**''​[[.:​common#​floor |floor]]([[.:​common#​Rational |Rational]] a)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​polytope#​flow_polytope |flow_polytope]]<​Scalar>​([[.:​common#​GraphAdjacency |GraphAdjacency]]<​[[.:​common#​Directed |Directed]]>​ G, [[.:​common#​EdgeMap |EdgeMap]]<​[[.:​common#​Directed |Directed]],​Scalar>​ Arc_Bounds, [[.:​common#​Int |Int]] source, [[.:​common#​Int |Int]] sink)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from graphs|
 +|**''​[[.:​polytope#​flow_polytope |flow_polytope]]<​Scalar>​([[.:​graph:​Graph |Graph]]<​[[.:​common#​Directed |Directed]]>​ G, [[.:​common#​Array |Array]]<​Scalar>​ Arc_Bounds, [[.:​common#​Int |Int]] source, [[.:​common#​Int |Int]] sink)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from graphs|
 +|**''​[[.:​topaz:​SimplicialComplex#​FOLDABLE |FOLDABLE]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​FOLDABLE_COCIRCUIT_EQUATIONS |FOLDABLE_COCIRCUIT_EQUATIONS]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​polytope#​foldable_max_signature_ilp |foldable_max_signature_ilp]]([[.:​common#​Int |Int]] d, [[.:​common#​Matrix |Matrix]] points, [[.:​common#​Rational |Rational]] volume, [[.:​common#​SparseMatrix |SparseMatrix]] cocircuit_equations)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope:​Polytope#​FOLDABLE_MAX_SIGNATURE_UPPER_BOUND |FOLDABLE_MAX_SIGNATURE_UPPER_BOUND]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope#​foldable_max_signature_upper_bound |foldable_max_signature_upper_bound]]([[.:​common#​Int |Int]] d, [[.:​common#​Matrix |Matrix]] points, [[.:​common#​Rational |Rational]] volume, [[.:​common#​SparseMatrix |SparseMatrix]] cocircuit_equations)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​topaz#​foldable_prism |foldable_prism]]([[.:​topaz:​GeometricSimplicialComplex |GeometricSimplicialComplex]] complex)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​tropical#​forgetful_map |forgetful_map]]<​Addition>​([[.:​common#​Int |Int]] n, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> S)''​**|[[.:​tropical|tropical]]|Functions|Moduli of rational curves|
 +|**''​[[.:​common#​SmithNormalForm |form]]()''​**|[[.:​common|common]]|method of SmithNormalForm|no category|
 +|**''​[[.:​core#​found_application |found_application]]([[.:​common#​String |String]] extension, [[.:​common#​String |String]] app_name)''​**|[[.:​core|core]]|Functions|Interactive|
 +|**''​[[.:​core#​found_extension |found_extension]]([[.:​common#​String |String]] dirname)''​**|[[.:​core|core]]|Functions|Interactive|
 +|**''​[[.:​polytope#​fractional_cut_polytope |fractional_cut_polytope]]([[.:​graph:​Graph |Graph]] G)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from graphs|
 +|**''​[[.:​polytope#​fractional_knapsack |fractional_knapsack]]([[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ b)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​polytope#​fractional_matching_polytope |fractional_matching_polytope]]([[.:​graph:​Graph |Graph]] G)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from graphs|
 +|**''​[[.:​matroid#​free_extension |free_extension]]([[.:​matroid:​Matroid |Matroid]] M)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from matroids|
 +|**''​[[.:​polytope#​free_sum |free_sum]]([[.:​polytope:​Polytope |Polytope]] P1, [[.:​polytope:​Polytope |Polytope]] P2)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​polytope#​free_sum |free_sum]]([[.:​polytope:​VectorConfiguration |VectorConfiguration]] P1, [[.:​polytope:​VectorConfiguration |VectorConfiguration]] P2)''​**|[[.:​polytope|polytope]]|Functions|Producing a vector configuration|
 +|**''​[[.:​polytope#​free_sum_decomposition |free_sum_decomposition]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​polytope#​free_sum_decomposition_indices |free_sum_decomposition_indices]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​common#​Set |front]]()''​**|[[.:​common|common]]|method of Set|no category|
 +|**''​[[.:​polytope:​Cone#​FTR_CYCLIC_NORMAL |FTR_CYCLIC_NORMAL]]''​**|[[.:​polytope|polytope]]|property of Cone|Visualization|
 +|**''​[[.:​polytope:​Polytope#​FTV_CYCLIC_NORMAL |FTV_CYCLIC_NORMAL]]''​**|[[.:​polytope|polytope]]|property of Polytope|Visualization|
 +|**''​[[.:​polytope:​Cone#​FULL_DIM |FULL_DIM]]''​**|[[.:​polytope|polytope]]|property of Cone|Geometry|
 +|**''​[[.:​polytope:​VectorConfiguration#​FULL_DIM |FULL_DIM]]''​**|[[.:​polytope|polytope]]|property of VectorConfiguration|Geometry|
 +|**''​[[.:​fan:​SubdivisionOfVectors#​FULL_DIM |FULL_DIM]]''​**|[[.:​fan|fan]]|property of SubdivisionOfVectors|Geometry|
 +|**''​[[.:​fan:​PolyhedralFan#​FULL_DIM |FULL_DIM]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Geometry|
 +|**''​[[.:​topaz:​SimplicialComplex#​fundamental2gap |fundamental2gap]]([[.:​common#​String |String]] filename)''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|Topology|
 +|**''​[[.:​topaz:​SimplicialComplex#​FUNDAMENTAL_GROUP |FUNDAMENTAL_GROUP]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Topology|
 +|**''​[[.:​topaz:​SimplicialComplex#​FUNDAMENTAL_GROUP_GEN_LABELS |FUNDAMENTAL_GROUP_GEN_LABELS]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Topology|
 +|**''​[[.:​common#​ExtGCD |g]]()''​**|[[.:​common|common]]|method of ExtGCD|no category|
 +|**''​[[.:​topaz:​GeometricSimplicialComplex#​G_DIM |G_DIM]]''​**|[[.:​topaz|topaz]]|property of GeometricSimplicialComplex|no category|
 +|**''​[[.:​matroid:​Matroid#​G_INVARIANT |G_INVARIANT]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​polytope:​Polytope#​G_VECTOR |G_VECTOR]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​GALE |GALE]]()''​**|[[.:​polytope|polytope]]|method of Polytope|Visualization|
 +|**''​[[.:​polytope:​Polytope#​GALE_TRANSFORM |GALE_TRANSFORM]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​VectorConfiguration#​GALE_TRANSFORM |GALE_TRANSFORM]]''​**|[[.:​polytope|polytope]]|property of VectorConfiguration|Geometry|
 +|**''​[[.:​polytope:​Polytope#​GALE_VERTICES |GALE_VERTICES]]''​**|[[.:​polytope|polytope]]|property of Polytope|Visualization|
 +|**''​[[.:​polytope#​gc_closure |gc_closure]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​common#​gcd |gcd]]([[.:​common#​Int |Int]] a, [[.:​common#​Int |Int]] b)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​common#​gcd |gcd]]([[.:​common#​Vector |Vector]]<//​Scalar//>​ v)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​common#​gcd |gcd]]([[.:​common#​UniPolynomial |UniPolynomial]] p, [[.:​common#​UniPolynomial |UniPolynomial]] q)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​graph#​generalized_johnson_graph |generalized_johnson_graph]]([[.:​common#​Int |Int]] n, [[.:​common#​Int |Int]] k, [[.:​common#​Int |Int]] i)''​**|[[.:​graph|graph]]|Functions|Producing a graph|
 +|**''​[[.:​fan#​generating_polyhedron_facets |generating_polyhedron_facets]]([[.:​fan:​PolyhedralFan |PolyhedralFan]] P)''​**|[[.:​fan|fan]]|Functions|Geometry|
 +|**''​[[.:​fulton:​NormalToricVariety#​GENERATING_POLYTOPE |GENERATING_POLYTOPE]]''​**|[[.:​fulton|fulton]]|property of NormalToricVariety|Basic properties|
 +|**''​[[.:​ideal:​Ideal#​GENERATORS |GENERATORS]]''​**|[[.:​ideal|ideal]]|property of Ideal|Input properties|
 +|**''​[[.:​group:​Action#​GENERATORS |GENERATORS]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​topaz:​SimplicialComplex#​GENUS |GENUS]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Topology|
 +|**''​[[.:​tropical:​Hypersurface#​GENUS |GENUS]]''​**|[[.:​tropical|tropical]]|method of Hypersurface|Topology|
 +|**''​[[.:​graph:​GeometricGraph#​GeometricGraph |GeometricGraph]]<​Scalar>''​**|[[.:​graph|graph]]|Objects|Combinatorics|
 +|**''​[[.:​topaz:​GeometricSimplicialComplex#​GeometricSimplicialComplex |GeometricSimplicialComplex]]<​Scalar>''​**|[[.:​topaz|topaz]]|Objects|no category|
 +|**''​[[.:​common#​geomview |geomview]]([[.:​common:​Visual_Object |Visual::​Object]] vis_obj ...)''​**|[[.:​common|common]]|Functions|Visualization|
 +|**''​[[.:​core:​Core_BigObject#​get_attachment |get_attachment]]([[.:​common#​String |String]] name)''​**|[[.:​core|core]]|method of Core::​BigObject|no category|
 +|**''​[[.:​common:​PolyDB_Client#​get_collection |get_collection]]([[.:​common#​String |String]] name)''​**|[[.:​common|common]]|method of PolyDB::​Client|Database Access|
 +|**''​[[.:​graph#​InverseRankMap |get_map]]()''​**|[[.:​graph|graph]]|method of InverseRankMap|Combinatorics|
 +|**''​[[.:​core:​Core_BigObject#​get_schedule |get_schedule]]([[.:​common#​String |String]] property_name)''​**|[[.:​core|core]]|method of Core::​BigObject|no category|
 +|**''​[[.:​common:​PolyDB_Collection#​get_schema |get_schema]]()''​**|[[.:​common|common]]|method of PolyDB::​Collection|Database Access|
 +|**''​[[.:​common:​PolyDB_Client#​get_users |get_users]](ARRAY usernames)''​**|[[.:​common|common]]|method of PolyDB::​Client|Database Administration|
 +|**''​[[.:​common#​UniPolynomial |get_var_names]]''​**|[[.:​common|common]]|method of UniPolynomial|no category|
 +|**''​[[.:​common#​Polynomial |get_var_names]]''​**|[[.:​common|common]]|method of Polynomial|no category|
 +|**''​[[.:​common#​get_var_names |get_var_names]]()''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​common#​GF2 |GF2]]''​**|[[.:​common|common]]|Property_types|Basic Types|
 +|**''​[[.:​fan#​gfan_secondary_fan |gfan_secondary_fan]]([[.:​common#​Matrix |Matrix]] M)''​**|[[.:​fan|fan]]|Functions|Producing a fan|
 +|**''​[[.:​fan#​gfan_secondary_fan |gfan_secondary_fan]]([[.:​polytope:​PointConfiguration |PointConfiguration]] P)''​**|[[.:​fan|fan]]|Functions|Producing a fan|
 +|**''​[[.:​tropical#​gfan_tropicalbruteforce |gfan_tropicalbruteforce]]([[.:​ideal:​Ideal |Ideal]] I)''​**|[[.:​tropical|tropical]]|Functions|gfan|
 +|**''​[[.:​tropical#​gfan_tropicalhypersurface |gfan_tropicalhypersurface]]([[.:​common#​Polynomial |Polynomial]]<​[[.:​common#​Rational |Rational]]>​ p)''​**|[[.:​tropical|tropical]]|Functions|gfan|
 +|**''​[[.:​tropical#​gfan_tropicalintersection |gfan_tropicalintersection]]([[.:​ideal:​Ideal |Ideal]] I)''​**|[[.:​tropical|tropical]]|Functions|gfan|
 +|**''​[[.:​tropical#​gfan_tropicalvariety_of_prime |gfan_tropicalvariety_of_prime]]([[.:​ideal:​Ideal |Ideal]] I)''​**|[[.:​tropical|tropical]]|Functions|gfan|
 +|**''​[[.:​core:​Core_BigObject#​give |give]]([[.:​common#​String |String]] property_name,​ Any multi_choice)''​**|[[.:​core|core]]|method of Core::​BigObject|no category|
 +|**''​[[.:​topaz:​HyperbolicSurface#​gkz_dome |gkz_dome]]([[.:​common#​Int |Int]] k, [[.:​common#​Int |Int]] depth)''​**|[[.:​topaz|topaz]]|method of HyperbolicSurface|Other|
 +|**''​[[.:​polytope:​Polytope#​GKZ_VECTOR |GKZ_VECTOR]]''​**|[[.:​polytope|polytope]]|property of Polytope|Triangulation and volume|
 +|**''​[[.:​polytope:​PointConfiguration#​GKZ_VECTOR |GKZ_VECTOR]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Triangulation and volume|
 +|**''​[[.:​topaz:​HyperbolicSurface#​GKZ_VECTORS |GKZ_VECTORS]]([[.:​common#​Int |Int]] depth)''​**|[[.:​topaz|topaz]]|method of HyperbolicSurface|Other|
 +|**''​[[.:​polytope#​goldfarb |goldfarb]]([[.:​common#​Int |Int]] d, Scalar e, Scalar g)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​polytope#​goldfarb_sit |goldfarb_sit]]([[.:​common#​Int |Int]] d, Scalar eps, Scalar delta)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​polytope:​Polytope#​GORENSTEIN |GORENSTEIN]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​fan:​PolyhedralFan#​GORENSTEIN |GORENSTEIN]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Toric Varieties|
 +|**''​[[.:​polytope:​Cone#​GORENSTEIN_CONE |GORENSTEIN_CONE]]''​**|[[.:​polytope|polytope]]|property of Cone|Lattice points in cones|
 +|**''​[[.:​polytope:​Polytope#​GORENSTEIN_INDEX |GORENSTEIN_INDEX]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​polytope:​Polytope#​GORENSTEIN_VECTOR |GORENSTEIN_VECTOR]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​topaz:​SimplicialComplex#​GRAPH |GRAPH]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​GRAPH |GRAPH]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​GRAPH |GRAPH]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​GRAPH |GRAPH]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​polytope:​PointConfiguration#​GRAPH |GRAPH]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralFan#​GRAPH |GRAPH]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Combinatorics|
 +|**''​[[.:​tropical:​RationalCurve#​GRAPH |GRAPH]]''​**|[[.:​tropical|tropical]]|property of RationalCurve|Combinatorics|
 +|**''​[[.:​graph:​Graph#​Graph |Graph]]<​Dir>''​**|[[.:​graph|graph]]|Objects|Combinatorics|
 +|**''​[[.:​fan#​graph_associahedron_fan |graph_associahedron_fan]]([[.:​graph:​Graph |Graph]] G)''​**|[[.:​fan|fan]]|Functions|Producing a fan|
 +|**''​[[.:​tropical:​RationalCurve#​GRAPH_EDGE_LENGTHS |GRAPH_EDGE_LENGTHS]]''​**|[[.:​tropical|tropical]]|property of RationalCurve|Combinatorics|
 +|**''​[[.:​graph#​graph_from_cycles |graph_from_cycles]]''​**|[[.:​graph|graph]]|Functions|no category|
 +|**''​[[.:​graph#​graph_from_edges |graph_from_edges]]([[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]%%>>​%% edges)''​**|[[.:​graph|graph]]|Functions|Other|
 +|**''​[[.:​graph#​graph_homomorphisms |graph_homomorphisms]]([[.:​graph:​Graph |Graph]] G, [[.:​graph:​Graph |Graph]] H)''​**|[[.:​graph|graph]]|Functions|Combinatorics|
 +|**''​[[.:​topaz:​SimplicialComplex#​GRAPH_SIGNATURE |GRAPH_SIGNATURE]]()''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​GRAPH_SIGNATURE |GRAPH_SIGNATURE]]()''​**|[[.:​polytope|polytope]]|method of Cone|Topology|
 +|**''​[[.:​common#​GraphAdjacency |GraphAdjacency]]<​Dir>''​**|[[.:​common|common]]|Property_types|Graph Types|
 +|**''​[[.:​common#​GraphMap |GraphMap]]<​Dir,​ Element>''​**|[[.:​common|common]]|Property_types|Graph Types|
 +|**''​[[.:​graph#​graphviz |graphviz]]([[.:​common:​Visual_Object |Visual::​Object]] vis_obj ...)''​**|[[.:​graph|graph]]|Functions|Visualization|
 +|**''​[[.:​ideal:​Groebner#​Groebner |Groebner]]''​**|[[.:​ideal|ideal]]|Objects|no category|
 +|**''​[[.:​ideal:​Ideal#​GROEBNER |GROEBNER]]''​**|[[.:​ideal|ideal]]|property of Ideal|Commutative algebra|
 +|**''​[[.:​polytope:​Polytope#​GROEBNER_BASIS |GROEBNER_BASIS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​fan#​groebner_fan |groebner_fan]]([[.:​ideal:​Ideal |Ideal]] I)''​**|[[.:​fan|fan]]|Functions|Producing a fan|
 +|**''​[[.:​polytope:​GroebnerBasis#​GroebnerBasis |GroebnerBasis]]''​**|[[.:​polytope|polytope]]|Objects|Lattice points in cones|
 +|**''​[[.:​topaz:​SimplicialComplex#​GROUP |GROUP]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Symmetry|
 +|**''​[[.:​polytope:​Polytope#​GROUP |GROUP]]''​**|[[.:​polytope|polytope]]|property of Polytope|Symmetry|
 +|**''​[[.:​polytope:​Cone#​GROUP |GROUP]]''​**|[[.:​polytope|polytope]]|property of Cone|Symmetry|
 +|**''​[[.:​polytope:​PointConfiguration#​GROUP |GROUP]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Symmetry|
 +|**''​[[.:​polytope:​VectorConfiguration#​GROUP |GROUP]]''​**|[[.:​polytope|polytope]]|property of VectorConfiguration|Symmetry|
 +|**''​[[.:​group:​Group#​Group |Group]]''​**|[[.:​group|group]]|Objects|no category|
 +|**''​[[.:​fan:​PolyhedralComplex#​GROUP |GROUP]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​GROUP |GROUP]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​group#​group_from_cyclic_notation0 |group_from_cyclic_notation0]]([[.:​common#​String |String]] generators)''​**|[[.:​group|group]]|Functions|Producing a group|
 +|**''​[[.:​group#​group_from_cyclic_notation1 |group_from_cyclic_notation1]]([[.:​common#​String |String]] generators)''​**|[[.:​group|group]]|Functions|Producing a group|
 +|**''​[[.:​group#​group_from_permlib_cyclic_notation |group_from_permlib_cyclic_notation]]([[.:​common#​Array |Array]]<​[[.:​common#​String |String]]>​ gens, [[.:​common#​Int |Int]] degree)''​**|[[.:​group|group]]|Functions|Producing a group|
 +|**''​[[.:​group#​group_left_multiplication_table |group_left_multiplication_table]]([[.:​group:​Group |Group]] G)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​group#​group_right_multiplication_table |group_right_multiplication_table]]([[.:​group:​Group |Group]] G)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​tropical#​gudkov_curve |gudkov_curve]]()''​**|[[.:​tropical|tropical]]|Functions|no category|
 +|**''​[[.:​topaz#​h_induced_quotient |h_induced_quotient]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] C, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> vertices)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​polytope:​Cone#​H_STAR_VECTOR |H_STAR_VECTOR]]''​**|[[.:​polytope|polytope]]|property of Cone|Lattice points in cones|
 +|**''​[[.:​matroid:​Matroid#​H_VECTOR |H_VECTOR]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​topaz:​SimplicialComplex#​H_VECTOR |H_VECTOR]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​H_VECTOR |H_VECTOR]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​common#​hadamard_product |hadamard_product]]([[.:​common#​Matrix |Matrix]] M1, [[.:​common#​Matrix |Matrix]] M2)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​tropical#​halfspace_subdivision |halfspace_subdivision]]<​Addition>​([[.:​common#​Rational |Rational]] a, [[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ g, [[.:​common#​Integer |Integer]] w)''​**|[[.:​tropical|tropical]]|Functions|Creation functions for specific cycles|
 +|**''​[[.:​tropical#​harnack_curve |harnack_curve]]([[.:​common#​Int |Int]] d)''​**|[[.:​tropical|tropical]]|Functions|no category|
 +|**''​[[.:​common#​GraphAdjacency |has_gaps]]()''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​common#​HashMap |HashMap]]<​Key,​ Value>''​**|[[.:​common|common]]|Property_types|Set Types|
 +|**''​[[.:​common#​HashSet |HashSet]]<​Element>''​**|[[.:​common|common]]|Property_types|Set Types|
 +|**''​[[.:​topaz:​SimplicialComplex#​HASSE_DIAGRAM |HASSE_DIAGRAM]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​HASSE_DIAGRAM |HASSE_DIAGRAM]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​HASSE_DIAGRAM |HASSE_DIAGRAM]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralFan#​HASSE_DIAGRAM |HASSE_DIAGRAM]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Combinatorics|
 +|**''​[[.:​graph#​hd_embedder |hd_embedder]]([[.:​common#​Array |Array]] label_width)''​**|[[.:​graph|graph]]|Functions|Visualization|
 +|**''​[[.:​core#​help |help]]([[.:​common#​String |String]] item)''​**|[[.:​core|core]]|Functions|Interactive|
 +|**''​[[.:​common#​hermite_normal_form |hermite_normal_form]]([[.:​common#​Matrix |Matrix]] M)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​common#​HermiteNormalForm |HermiteNormalForm]]<​Scalar>''​**|[[.:​common|common]]|Property_types|Linear Algebra|
 +|**''​[[.:​matroid#​higgs_lift |higgs_lift]]([[.:​matroid:​Matroid |Matroid]] M)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from matroids|
 +|**''​[[.:​polytope:​Cone#​HILBERT_BASIS |HILBERT_BASIS]]()''​**|[[.:​polytope|polytope]]|method of Cone|Lattice points in cones|
 +|**''​[[.:​polytope:​Cone#​HILBERT_BASIS_GENERATORS |HILBERT_BASIS_GENERATORS]]''​**|[[.:​polytope|polytope]]|property of Cone|Lattice points in cones|
 +|**''​[[.:​ideal:​Ideal#​HILBERT_POLYNOMIAL |HILBERT_POLYNOMIAL]]''​**|[[.:​ideal|ideal]]|property of Ideal|Commutative algebra|
 +|**''​[[.:​polytope:​Cone#​HILBERT_SERIES |HILBERT_SERIES]]''​**|[[.:​polytope|polytope]]|property of Cone|Lattice points in cones|
 +|**''​[[.:​fulton#​hirzebruch_surface |hirzebruch_surface]]([[.:​common#​Integer |Integer]] r)''​**|[[.:​fulton|fulton]]|Functions|Producing a normal toric variety|
 +|**''​[[.:​common#​histogram |histogram]](ARRAY data)''​**|[[.:​common|common]]|Functions|Utilities|
 +|**''​[[.:​core#​history |history]]''​**|[[.:​core|core]]|Functions|Interactive|
 +|**''​[[.:​common#​HermiteNormalForm |hnf]]()''​**|[[.:​common|common]]|method of HermiteNormalForm|no category|
 +|**''​[[.:​graph#​hom_poset |hom_poset]]([[.:​graph:​Graph |Graph]]<​[[.:​common#​Directed |Directed]]>​ P, [[.:​graph:​Graph |Graph]]<​[[.:​common#​Directed |Directed]]>​ Q)''​**|[[.:​graph|graph]]|Functions|Posets|
 +|**''​[[.:​graph#​hom_poset |hom_poset]]([[.:​common#​Array |Array]]<​[[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]%%>>​%% homs, [[.:​graph:​Graph |Graph]]<​[[.:​common#​Directed |Directed]]>​ Q)''​**|[[.:​graph|graph]]|Functions|Posets|
 +|**''​[[.:​ideal:​Ideal#​HOMOGENEOUS |HOMOGENEOUS]]''​**|[[.:​ideal|ideal]]|property of Ideal|Commutative algebra|
 +|**''​[[.:​polytope:​Cone#​HOMOGENEOUS |HOMOGENEOUS]]''​**|[[.:​polytope|polytope]]|property of Cone|Lattice points in cones|
 +|**''​[[.:​group:​Group#​HOMOGENEOUS_COORDINATE_ACTION |HOMOGENEOUS_COORDINATE_ACTION]]''​**|[[.:​group|group]]|property of Group|Symmetry|
 +|**''​[[.:​topaz:​SimplicialComplex#​HOMOLOGY |HOMOLOGY]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Topology|
 +|**''​[[.:​topaz#​homology |homology]]([[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]%%>>​%% complex, [[.:​common#​Bool |Bool]] co)''​**|[[.:​topaz|topaz]]|Functions|Topology|
 +|**''​[[.:​topaz#​homology |homology]]([[.:​topaz#​ChainComplex |ChainComplex]] CC, [[.:​common#​Bool |Bool]] co)''​**|[[.:​topaz|topaz]]|Functions|Topology|
 +|**''​[[.:​fan:​PolyhedralFan#​HOMOLOGY |HOMOLOGY]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Topology|
 +|**''​[[.:​topaz#​homology_and_cycles |homology_and_cycles]]([[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]%%>>​%% complex, [[.:​common#​Bool |Bool]] co)''​**|[[.:​topaz|topaz]]|Functions|Topology|
 +|**''​[[.:​topaz#​homology_and_cycles |homology_and_cycles]]([[.:​topaz#​ChainComplex |ChainComplex]]<​[[.:​common#​SparseMatrix |SparseMatrix]]<​[[.:​common#​Integer |Integer]]%%>>​%% CC, [[.:​common#​Bool |Bool]] co)''​**|[[.:​topaz|topaz]]|Functions|Topology|
 +|**''​[[.:​topaz#​homology_flint |homology_flint]]([[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]%%>>​%% complex, [[.:​common#​Bool |Bool]] co)''​**|[[.:​topaz|topaz]]|Functions|Topology|
 +|**''​[[.:​topaz#​homology_flint |homology_flint]]([[.:​topaz#​ChainComplex |ChainComplex]] CC, [[.:​common#​Bool |Bool]] co)''​**|[[.:​topaz|topaz]]|Functions|Topology|
 +|**''​[[.:​topaz#​HomologyGroup |HomologyGroup]]<​Scalar>''​**|[[.:​topaz|topaz]]|Property_types|Topology|
 +|**''​[[.:​common#​householder_trafo |householder_trafo]]([[.:​common#​Vector |Vector]]<​[[.:​common#​Float |Float]]>​ b)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​common#​HSV |HSV]]''​**|[[.:​common|common]]|Property_types|Visualization|
 +|**''​[[.:​tropical#​hurwitz_cycle |hurwitz_cycle]]<​Addition>​([[.:​common#​Int |Int]] k, [[.:​common#​Vector |Vector]]<​[[.:​common#​Int |Int]]> degree, [[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ points)''​**|[[.:​tropical|tropical]]|Functions|Hurwitz cycles|
 +|**''​[[.:​tropical#​hurwitz_marked_cycle |hurwitz_marked_cycle]]<​Addition>​([[.:​common#​Int |Int]] k, [[.:​common#​Vector |Vector]]<​[[.:​common#​Int |Int]]> degree, [[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ pullback_points)''​**|[[.:​tropical|tropical]]|Functions|Hurwitz cycles|
 +|**''​[[.:​tropical#​hurwitz_pair |hurwitz_pair]]<​Addition>​([[.:​common#​Int |Int]] k, [[.:​common#​Vector |Vector]]<​[[.:​common#​Int |Int]]> degree, [[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ points)''​**|[[.:​tropical|tropical]]|Functions|Hurwitz cycles|
 +|**''​[[.:​tropical#​hurwitz_pair_local |hurwitz_pair_local]]<​Addition>​([[.:​common#​Int |Int]] k, [[.:​common#​Vector |Vector]]<​[[.:​common#​Int |Int]]> degree, [[.:​tropical:​RationalCurve |RationalCurve]] local_curve)''​**|[[.:​tropical|tropical]]|Functions|Hurwitz cycles|
 +|**''​[[.:​tropical#​hurwitz_subdivision |hurwitz_subdivision]]<​Addition>​([[.:​common#​Int |Int]] k, [[.:​common#​Vector |Vector]]<​[[.:​common#​Int |Int]]> degree, [[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ points)''​**|[[.:​tropical|tropical]]|Functions|Hurwitz cycles|
 +|**''​[[.:​topaz:​HyperbolicSurface#​HyperbolicSurface |HyperbolicSurface]]''​**|[[.:​topaz|topaz]]|Objects|no category|
 +|**''​[[.:​tropical#​hyperplane |hyperplane]]<​Addition>​([[.:​common#​Vector |Vector]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition%%>>​%% coeffs)''​**|[[.:​tropical|tropical]]|Functions|Producing a tropical hypersurface|
 +|**''​[[.:​fan:​HyperplaneArrangement#​HYPERPLANE_AMBIENT_DIM |HYPERPLANE_AMBIENT_DIM]]''​**|[[.:​fan|fan]]|property of HyperplaneArrangement|Geometry|
 +|**''​[[.:​fan:​HyperplaneArrangement#​HYPERPLANE_LABELS |HYPERPLANE_LABELS]]''​**|[[.:​fan|fan]]|property of HyperplaneArrangement|no category|
 +|**''​[[.:​fan:​HyperplaneArrangement#​HyperplaneArrangement |HyperplaneArrangement]]<​Scalar>''​**|[[.:​fan|fan]]|Objects|Geometry|
 +|**''​[[.:​fan:​HyperplaneArrangement#​HYPERPLANES |HYPERPLANES]]''​**|[[.:​fan|fan]]|property of HyperplaneArrangement|Geometry|
 +|**''​[[.:​polytope#​hypersimplex |hypersimplex]]([[.:​common#​Int |Int]] k, [[.:​common#​Int |Int]] d)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​tropical#​hypersimplex |hypersimplex]]<​Addition>​([[.:​common#​Int |Int]] d, [[.:​common#​Int |Int]] k)''​**|[[.:​tropical|tropical]]|Functions|Producing a tropical polytope|
 +|**''​[[.:​fan#​hypersimplex_vertex_splits |hypersimplex_vertex_splits]]([[.:​common#​Int |Int]] k, [[.:​common#​Int |Int]] d)''​**|[[.:​fan|fan]]|Functions|Producing a hyperplane arrangement|
 +|**''​[[.:​tropical:​Hypersurface#​Hypersurface |Hypersurface]]<​Addition>''​**|[[.:​tropical|tropical]]|Objects|no category|
 +|**''​[[.:​polytope#​hypertruncated_cube |hypertruncated_cube]]<​Scalar>​([[.:​common#​Int |Int]] d, Scalar k, Scalar lambda)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​polytope#​icosahedron |icosahedron]]()''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​polytope#​icosidodecahedron |icosidodecahedron]]()''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​ideal:​Ideal#​Ideal |Ideal]]''​**|[[.:​ideal|ideal]]|Objects|no category|
 +|**''​[[.:​matroid:​Matroid#​IDENTICALLY_SELF_DUAL |IDENTICALLY_SELF_DUAL]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​polytope:​QuotientSpace#​IDENTIFICATION_ACTION |IDENTIFICATION_ACTION]]''​**|[[.:​polytope|polytope]]|property of QuotientSpace|Basic properties|
 +|**''​[[.:​group:​Action#​IMAGES |IMAGES]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​group#​implicit_character |implicit_character]]([[.:​group:​ImplicitActionOnSets |ImplicitActionOnSets]] A)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​group:​Group#​IMPLICIT_SET_ACTION |IMPLICIT_SET_ACTION]]''​**|[[.:​group|group]]|property of Group|Symmetry|
 +|**''​[[.:​group:​ImplicitActionOnSets#​ImplicitActionOnSets |ImplicitActionOnSets]]''​**|[[.:​group|group]]|Objects|no category|
 +|**''​[[.:​core#​import_extension |import_extension]]([[.:​common#​String |String]] dirname, [[.:​common#​String |String]] options)''​**|[[.:​core|core]]|Functions|Interactive|
 +|**''​[[.:​common#​GraphAdjacency |in_adjacent_nodes]]([[.:​common#​Int |Int]] node)''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​common#​GraphAdjacency |in_degree]]([[.:​common#​Int |Int]] node)''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​common#​GraphAdjacency |in_edges]]([[.:​common#​Int |Int]] node)''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​graph#​incidence_matrix |incidence_matrix]]([[.:​graph:​Graph |Graph]] G)''​**|[[.:​graph|graph]]|Functions|Combinatorics|
 +|**''​[[.:​graph#​incidence_matrix |incidence_matrix]]([[.:​common#​GraphAdjacency |GraphAdjacency]] G)''​**|[[.:​graph|graph]]|Functions|Combinatorics|
 +|**''​[[.:​common#​IncidenceMatrix |IncidenceMatrix]]<​Sym>''​**|[[.:​common|common]]|Property_types|Set Types|
 +|**''​[[.:​common#​incl |incl]]([[.:​common#​Set |Set]] s1, [[.:​common#​Set |Set]] s2)''​**|[[.:​common|common]]|Functions|Set Operations|
 +|**''​[[.:​core#​include |include]]([[.:​common#​String |String]] rulefile)''​**|[[.:​core|core]]|Functions|Basic|
 +|**''​[[.:​polytope#​included_polyhedra |included_polyhedra]]([[.:​polytope:​Polytope |Polytope]] P1, [[.:​polytope:​Polytope |Polytope]] P2)''​**|[[.:​polytope|polytope]]|Functions|Comparing|
 +|**''​[[.:​topaz#​independence_complex |independence_complex]]([[.:​matroid:​Matroid |Matroid]] matroid)''​**|[[.:​topaz|topaz]]|Functions|Producing a simplicial complex from other objects|
 +|**''​[[.:​common#​index_matrix |index_matrix]]([[.:​common#​SparseMatrix |SparseMatrix]] m)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​common#​index_of |index_of]]([[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]%%>>​%% array)''​**|[[.:​common|common]]|Functions|Utilities|
 +|**''​[[.:​group:​Action#​INDEX_OF |INDEX_OF]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​common:​PolyDB_Collection#​indices |indices]]''​**|[[.:​common|common]]|method of PolyDB::​Collection|Database Collection Administration|
 +|**''​[[.:​common#​indices |indices]]([[.:​common#​SparseVector |SparseVector]] v)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​group#​induce_implicit_action |induce_implicit_action]]([[.:​group:​PermutationAction |PermutationAction]] original_action,​ [[.:​common#​String |String]] property)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​group#​induce_set_action |induce_set_action]]([[.:​polytope:​Cone |Cone]] c, [[.:​group:​PermutationAction |PermutationAction]] a, [[.:​common#​String |String]] domain)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​group#​induced_action |induced_action]]([[.:​group:​PermutationAction |PermutationAction]] a, [[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]%%>>​%% domain)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​polytope#​induced_lattice_basis |induced_lattice_basis]]([[.:​polytope:​Polytope |Polytope]] p)''​**|[[.:​polytope|polytope]]|Functions|Geometry|
 +|**''​[[.:​group#​induced_permutations |induced_permutations]]([[.:​common#​Array |Array]]<​[[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]%%>>​%% gens, [[.:​common#​Matrix |Matrix]] M)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​group#​induced_permutations |induced_permutations]]([[.:​common#​Array |Array]]<​[[.:​common#​Matrix |Matrix]]<​Scalar%%>>​%% gens, [[.:​common#​Matrix |Matrix]] M)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​group#​induced_permutations |induced_permutations]]([[.:​common#​Array |Array]]<​[[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]%%>>​%% gens, [[.:​common#​Array |Array]]<​DomainType>​ S)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​group#​induced_permutations |induced_permutations]]([[.:​common#​Array |Array]]<​[[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]%%>>​%% a, [[.:​common#​IncidenceMatrix |IncidenceMatrix]] M)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​group#​induced_permutations_set_set |induced_permutations_set_set]]([[.:​common#​Array |Array]]<​[[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]%%>>​%% gens, [[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]<​[[.:​common#​Set |Set]]%%>>​%% domain)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​group#​induced_rep |induced_rep]]([[.:​polytope:​Cone |Cone]] C, [[.:​group:​PermutationActionOnSets |PermutationActionOnSets]] A, [[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]> g)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​topaz#​induced_subcomplex |induced_subcomplex]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> vertices)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​fan#​induced_subdivision |induced_subdivision]]<​Scalar>​([[.:​polytope:​VectorConfiguration |VectorConfiguration]]<​Scalar>​ pc, [[.:​common#​Matrix |Matrix]]<​Scalar>​ R, [[.:​common#​Set |Set]] I)''​**|[[.:​fan|fan]]|Functions|Geometry|
 +|**''​[[.:​fan#​induced_subdivision |induced_subdivision]]''​**|[[.:​fan|fan]]|Functions|Geometry|
 +|**''​[[.:​common#​induced_subgraph |induced_subgraph]]([[.:​common#​GraphAdjacency |GraphAdjacency]] graph, [[.:​common#​Set |Set]] set)''​**|[[.:​common|common]]|Functions|Graph Operations|
 +|**''​[[.:​polytope:​Polytope#​INEQUALITIES |INEQUALITIES]]''​**|[[.:​polytope|polytope]]|property of Polytope|Input property|
 +|**''​[[.:​polytope:​Cone#​INEQUALITIES |INEQUALITIES]]''​**|[[.:​polytope|polytope]]|property of Cone|Input property|
 +|**''​[[.:​tropical:​Polytope#​INEQUALITIES |INEQUALITIES]]''​**|[[.:​tropical|tropical]]|property of Polytope|Input property|
 +|**''​[[.:​group:​Group#​INEQUALITIES_ACTION |INEQUALITIES_ACTION]]''​**|[[.:​group|group]]|property of Group|Symmetry|
 +|**''​[[.:​group:​Action#​INEQUALITIES_GENERATORS |INEQUALITIES_GENERATORS]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​polytope:​Cone#​INEQUALITIES_THRU_RAYS |INEQUALITIES_THRU_RAYS]]''​**|[[.:​polytope|polytope]]|property of Cone|Geometry|
 +|**''​[[.:​polytope:​Polytope#​INEQUALITIES_THRU_VERTICES |INEQUALITIES_THRU_VERTICES]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​Polytope#​INEQUALITY_LABELS |INEQUALITY_LABELS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Visualization|
 +|**''​[[.:​polytope:​Cone#​INEQUALITY_LABELS |INEQUALITY_LABELS]]''​**|[[.:​polytope|polytope]]|property of Cone|Visualization|
 +|**''​[[.:​common#​Float |inf]]''​**|[[.:​common|common]]|method of Float|no category|
 +|**''​[[.:​common#​Rational |inf]]''​**|[[.:​common|common]]|method of Rational|no category|
 +|**''​[[.:​common#​Integer |inf]]''​**|[[.:​common|common]]|method of Integer|no category|
 +|**''​[[.:​common:​PolyDB_Client#​info |info]]()''​**|[[.:​common|common]]|method of PolyDB::​Client|Database Access|
 +|**''​[[.:​common#​Polynomial |initial_form]]([[.:​common#​Vector |Vector]]<​Exponent>​ v)''​**|[[.:​common|common]]|method of Polynomial|no category|
 +|**''​[[.:​ideal:​Groebner#​INITIAL_FORMS |INITIAL_FORMS]]''​**|[[.:​ideal|ideal]]|property of Groebner|Commutative algebra|
 +|**''​[[.:​ideal:​Groebner#​INITIAL_IDEAL |INITIAL_IDEAL]]''​**|[[.:​ideal|ideal]]|property of Groebner|Commutative algebra|
 +|**''​[[.:​common:​PolyDB_Client#​initiate_collection |initiate_collection]]()''​**|[[.:​common|common]]|method of PolyDB::​Client|Database Administration|
 +|**''​[[.:​polytope#​inner_cone |inner_cone]]([[.:​polytope:​Cone |Cone]] p, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> F)''​**|[[.:​polytope|polytope]]|Functions|Producing a cone|
 +|**''​[[.:​polytope:​Polytope#​INNER_DESCRIPTION |INNER_DESCRIPTION]]()''​**|[[.:​polytope|polytope]]|method of Polytope|Geometry|
 +|**''​[[.:​polytope:​SchlegelDiagram#​INNER_POINT |INNER_POINT]]''​**|[[.:​polytope|polytope]]|property of SchlegelDiagram|no category|
 +|**''​[[.:​polytope#​inner_point |inner_point]]([[.:​common#​Matrix |Matrix]] points)''​**|[[.:​polytope|polytope]]|Functions|Optimization|
 +|**''​[[.:​tropical:​RationalCurve#​INPUT_COEFFS |INPUT_COEFFS]]''​**|[[.:​tropical|tropical]]|property of RationalCurve|Input property|
 +|**''​[[.:​fan:​PolyhedralFan#​INPUT_CONES |INPUT_CONES]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Input property|
 +|**''​[[.:​group:​Group#​INPUT_CONES_ACTION |INPUT_CONES_ACTION]]''​**|[[.:​group|group]]|property of Group|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​INPUT_CONES_REPS |INPUT_CONES_REPS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Input property|
 +|**''​[[.:​topaz:​SimplicialComplex#​INPUT_FACES |INPUT_FACES]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Input property|
 +|**''​[[.:​polytope:​Cone#​INPUT_LINEALITY |INPUT_LINEALITY]]''​**|[[.:​polytope|polytope]]|property of Cone|Input property|
 +|**''​[[.:​fan:​PolyhedralFan#​INPUT_LINEALITY |INPUT_LINEALITY]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Input property|
 +|**''​[[.:​group:​Action#​INPUT_LINEALITY_GENERATORS |INPUT_LINEALITY_GENERATORS]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​INPUT_POLYTOPES |INPUT_POLYTOPES]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Input property|
 +|**''​[[.:​fan:​PolyhedralComplex#​INPUT_POLYTOPES_ACTION |INPUT_POLYTOPES_ACTION]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​INPUT_POLYTOPES_REPS |INPUT_POLYTOPES_REPS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​polytope:​Cone#​INPUT_RAY_LABELS |INPUT_RAY_LABELS]]''​**|[[.:​polytope|polytope]]|property of Cone|Visualization|
 +|**''​[[.:​fan:​PolyhedralFan#​INPUT_RAY_LABELS |INPUT_RAY_LABELS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Visualization|
 +|**''​[[.:​polytope:​Cone#​INPUT_RAYS |INPUT_RAYS]]''​**|[[.:​polytope|polytope]]|property of Cone|Input property|
 +|**''​[[.:​fan:​PolyhedralFan#​INPUT_RAYS |INPUT_RAYS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Input property|
 +|**''​[[.:​group:​Group#​INPUT_RAYS_ACTION |INPUT_RAYS_ACTION]]''​**|[[.:​group|group]]|property of Group|Symmetry|
 +|**''​[[.:​group:​Action#​INPUT_RAYS_GENERATORS |INPUT_RAYS_GENERATORS]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​polytope:​Cone#​INPUT_RAYS_IN_FACETS |INPUT_RAYS_IN_FACETS]]''​**|[[.:​polytope|polytope]]|property of Cone|Geometry|
 +|**''​[[.:​fan:​PolyhedralFan#​INPUT_RAYS_REPS |INPUT_RAYS_REPS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Input property|
 +|**''​[[.:​tropical:​RationalCurve#​INPUT_SETS |INPUT_SETS]]''​**|[[.:​tropical|tropical]]|property of RationalCurve|Input property|
 +|**''​[[.:​tropical:​RationalCurve#​INPUT_STRING |INPUT_STRING]]''​**|[[.:​tropical|tropical]]|property of RationalCurve|Input property|
 +|**''​[[.:​common:​PolyDB_Collection#​insert |insert]]([[.:​core:​Core_BigObject |Core::​BigObject]] one)''​**|[[.:​common|common]]|method of PolyDB::​Collection|Database Collection Administration|
 +|**''​[[.:​common#​FacetList |insert]]([[.:​common#​Set |Set]] f)''​**|[[.:​common|common]]|method of FacetList|no category|
 +|**''​[[.:​tropical#​insert_leaves |insert_leaves]]([[.:​tropical:​RationalCurve |RationalCurve]] curve, [[.:​common#​Vector |Vector]]<​[[.:​common#​Int |Int]]> nodes)''​**|[[.:​tropical|tropical]]|Functions|Abstract rational curves|
 +|**''​[[.:​tropical#​insert_rays |insert_rays]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ F, [[.:​common#​Matrix |Matrix]]<​[[.:​common#​Rational |Rational]]>​ R)''​**|[[.:​tropical|tropical]]|Functions|Basic polyhedral operations|
 +|**''​[[.:​common#​FacetList |insertMax]]([[.:​common#​Set |Set]] f)''​**|[[.:​common|common]]|method of FacetList|no category|
 +|**''​[[.:​common#​FacetList |insertMin]]([[.:​common#​Set |Set]] f)''​**|[[.:​common|common]]|method of FacetList|no category|
 +|**''​[[.:​common#​Int |Int]]''​**|[[.:​common|common]]|Property_types|Basic Types|
 +|**''​[[.:​common#​Integer |Integer]]''​**|[[.:​common|common]]|Property_types|Basic Types|
 +|**''​[[.:​polytope#​integer_hull |integer_hull]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​polytope#​integer_points_bbox |integer_points_bbox]]([[.:​polytope:​Polytope |Polytope]]<​Scalar>​ P)''​**|[[.:​polytope|polytope]]|Functions|Geometry|
 +|**''​[[.:​polytope:​MixedIntegerLinearProgram#​INTEGER_VARIABLES |INTEGER_VARIABLES]]''​**|[[.:​polytope|polytope]]|property of MixedIntegerLinearProgram|no category|
 +|**''​[[.:​fulton:​TDivisor#​INTEGRAL |INTEGRAL]]''​**|[[.:​fulton|fulton]]|property of TDivisor|Algebraic Geometry|
 +|**''​[[.:​polytope#​interior_and_boundary_ridges |interior_and_boundary_ridges]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope:​Polytope#​INTERIOR_LATTICE_POINTS |INTERIOR_LATTICE_POINTS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in polytopes|
 +|**''​[[.:​polytope:​Cone#​INTERIOR_RIDGE_SIMPLICES |INTERIOR_RIDGE_SIMPLICES]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​polytope:​PointConfiguration#​INTERIOR_RIDGE_SIMPLICES |INTERIOR_RIDGE_SIMPLICES]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Combinatorics|
 +|**''​[[.:​matroid#​internal_activity |internal_activity]]()''​**|[[.:​matroid|matroid]]|Functions|Other|
 +|**''​[[.:​tropical#​intersect |intersect]]([[.:​tropical:​Cycle |Cycle]] X, [[.:​tropical:​Cycle |Cycle]] Y)''​**|[[.:​tropical|tropical]]|Functions|Intersection theory|
 +|**''​[[.:​tropical#​intersect_check_transversality |intersect_check_transversality]]([[.:​tropical:​Cycle |Cycle]] X, [[.:​tropical:​Cycle |Cycle]] Y, [[.:​common#​Bool |Bool]] ensure_transversality)''​**|[[.:​tropical|tropical]]|Functions|Intersection theory|
 +|**''​[[.:​tropical#​intersect_container |intersect_container]]([[.:​tropical:​Cycle |Cycle]] cycle, [[.:​tropical:​Cycle |Cycle]] container, [[.:​common#​Bool |Bool]] forceLatticeComputation)''​**|[[.:​tropical|tropical]]|Functions|Basic polyhedral operations|
 +|**''​[[.:​tropical#​intersect_in_smooth_surface |intersect_in_smooth_surface]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ surface, [[.:​tropical:​Cycle |Cycle]]<​Addition>​ A, [[.:​tropical:​Cycle |Cycle]]<​Addition>​ B)''​**|[[.:​tropical|tropical]]|Functions|Intersection theory|
 +|**''​[[.:​matroid#​intersection |intersection]]([[.:​matroid:​Matroid |Matroid]] M)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from matroids|
 +|**''​[[.:​polytope#​intersection |intersection]]([[.:​polytope:​Cone |Cone]] C ...)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​fan#​intersection |intersection]]([[.:​fan:​PolyhedralFan |PolyhedralFan]] F, [[.:​common#​Matrix |Matrix]] H)''​**|[[.:​fan|fan]]|Functions|Producing a fan|
 +|**''​[[.:​fan:​PolyhedralFan#​INTERSECTION_COMPLEX |INTERSECTION_COMPLEX]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Topology|
 +|**''​[[.:​tropical#​intersection_extremals |intersection_extremals]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]>​ G, [[.:​common#​Vector |Vector]]<​[[.:​common#​TropicalNumber |TropicalNumber]]>​ a, [[.:​common#​Vector |Vector]]<​[[.:​common#​TropicalNumber |TropicalNumber]]>​ b)''​**|[[.:​tropical|tropical]]|Functions|Tropical operations|
 +|**''​[[.:​topaz:​SimplicialComplex#​INTERSECTION_FORM |INTERSECTION_FORM]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Topology|
 +|**''​[[.:​topaz#​IntersectionForm |IntersectionForm]]''​**|[[.:​topaz|topaz]]|Property_types|Topology|
 +|**''​[[.:​common#​inv |inv]]([[.:​common#​Matrix |Matrix]] A)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​common#​GraphAdjacency |invalid_node]]([[.:​common#​Int |Int]] node)''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​group#​invariant_polynomials |invariant_polynomials]]([[.:​group:​MatrixActionOnVectors |MatrixActionOnVectors]] a, [[.:​common#​Int |Int]] d)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​graph:​Lattice#​INVERSE_RANK_MAP |INVERSE_RANK_MAP]]''​**|[[.:​graph|graph]]|property of Lattice|Combinatorics|
 +|**''​[[.:​graph#​InverseRankMap |InverseRankMap]]<​SeqType>''​**|[[.:​graph|graph]]|Property_types|Combinatorics|
 +|**''​[[.:​group:​Action#​IRREDUCIBLE_DECOMPOSITION |IRREDUCIBLE_DECOMPOSITION]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​group#​irreducible_decomposition |irreducible_decomposition]]<​Scalar>​([[.:​common#​Vector |Vector]]<​Scalar>​ character, [[.:​group:​Group |Group]] G)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​fan#​is_B_nested |is_B_nested]]([[.:​common#​Set |Set]]<​[[.:​common#​Set |Set]]> check_me, [[.:​common#​PowerSet |PowerSet]] B)''​**|[[.:​fan|fan]]|Functions|Other|
 +|**''​[[.:​tropical:​Cycle#​IS_BALANCED |IS_BALANCED]]''​**|[[.:​tropical|tropical]]|property of Cycle|Weights and lattices|
 +|**''​[[.:​tropical#​is_balanced |is_balanced]]([[.:​tropical:​Cycle |Cycle]] C)''​**|[[.:​tropical|tropical]]|Functions|Weights and lattices|
 +|**''​[[.:​fan#​is_building_set |is_building_set]]([[.:​common#​PowerSet |PowerSet]] check_me, [[.:​common#​Int |Int]] n)''​**|[[.:​fan|fan]]|Functions|Other|
 +|**''​[[.:​tropical#​is_contained |is_contained]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]>​ apices, [[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]%%>>​%% sectors)''​**|[[.:​tropical|tropical]]|Functions|Tropical operations|
 +|**''​[[.:​tropical#​is_empty |is_empty]]''​**|[[.:​tropical|tropical]]|Functions|Degeneracy tests|
 +|**''​[[.:​tropical:​Cycle#​is_fan |is_fan]]([[.:​common#​Bool |Bool]] allow_translations)''​**|[[.:​tropical|tropical]]|method of Cycle|Basic polyhedral operations|
 +|**''​[[.:​topaz#​is_generalized_shelling |is_generalized_shelling]]([[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]> FaceList)''​**|[[.:​topaz|topaz]]|Functions|Other|
 +|**''​[[.:​tropical:​Morphism#​IS_GLOBALLY_AFFINE_LINEAR |IS_GLOBALLY_AFFINE_LINEAR]]''​**|[[.:​tropical|tropical]]|property of Morphism|Defining morphisms and functions|
 +|**''​[[.:​tropical:​TropicalRationalFunction#​IS_GLOBALLY_DEFINED |IS_GLOBALLY_DEFINED]]''​**|[[.:​tropical|tropical]]|property of TropicalRationalFunction|Defining morphisms and functions|
 +|**''​[[.:​common#​is_integral |is_integral]]([[.:​common#​Vector |Vector]] v)''​**|[[.:​common|common]]|Functions|Lattice Tools|
 +|**''​[[.:​common#​is_integral |is_integral]]([[.:​common#​Matrix |Matrix]] m)''​**|[[.:​common|common]]|Functions|Lattice Tools|
 +|**''​[[.:​tropical:​Cycle#​IS_IRREDUCIBLE |IS_IRREDUCIBLE]]''​**|[[.:​tropical|tropical]]|property of Cycle|Weights and lattices|
 +|**''​[[.:​matroid:​Matroid#​is_isomorphic_to |is_isomorphic_to]]([[.:​matroid:​Matroid |Matroid]] M)''​**|[[.:​matroid|matroid]]|method of Matroid|Advanced properties|
 +|**''​[[.:​matroid#​is_modular_cut |is_modular_cut]]([[.:​matroid:​Matroid |Matroid]] M, [[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]> C)''​**|[[.:​matroid|matroid]]|Functions|Other|
 +|**''​[[.:​matroid#​is_nested_matroid |is_nested_matroid]]([[.:​matroid:​Matroid |Matroid]] M)''​**|[[.:​matroid|matroid]]|Functions|Advanced properties|
 +|**''​[[.:​common#​is_nonnegative |is_nonnegative]](ARRAY data)''​**|[[.:​common|common]]|Functions|Utilities|
 +|**''​[[.:​common#​is_one |is_one]](//​Scalar//​ s)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​polytope#​is_regular |is_regular]]([[.:​common#​Matrix |Matrix]] points, [[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]%%>>​%% subdiv)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​tropical#​is_smooth |is_smooth]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ a)''​**|[[.:​tropical|tropical]]|Functions|Matroids|
 +|**''​[[.:​polytope#​is_subdivision |is_subdivision]]([[.:​common#​Matrix |Matrix]] points, [[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]%%>>​%% faces)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​common#​is_unimodal |is_unimodal]](ARRAY data)''​**|[[.:​common|common]]|Functions|Utilities|
 +|**''​[[.:​topaz#​is_vertex_decomposition |is_vertex_decomposition]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex, [[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]> vertices)''​**|[[.:​topaz|topaz]]|Functions|Other|
 +|**''​[[.:​common#​is_zero |is_zero]](//​Scalar//​ s)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​core:​Core_BigObject#​isa |isa]](Any type)''​**|[[.:​core|core]]|method of Core::​BigObject|no category|
 +|**''​[[.:​common#​isfinite |isfinite]](//​Scalar//​ a)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​common#​isinf |isinf]](//​Scalar//​ a)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​topaz#​isomorphic |isomorphic]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex1, [[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex2)''​**|[[.:​topaz|topaz]]|Functions|Comparing|
 +|**''​[[.:​polytope#​isomorphic |isomorphic]]([[.:​polytope:​Cone |Cone]] P1, [[.:​polytope:​Cone |Cone]] P2)''​**|[[.:​polytope|polytope]]|Functions|Comparing|
 +|**''​[[.:​graph#​isomorphic |isomorphic]]([[.:​common#​IncidenceMatrix |IncidenceMatrix]] IncidenceMatrix1,​ [[.:​common#​IncidenceMatrix |IncidenceMatrix]] IncidenceMatrix2)''​**|[[.:​graph|graph]]|Functions|Comparing|
 +|**''​[[.:​graph#​isomorphic |isomorphic]]([[.:​common#​GraphAdjacency |GraphAdjacency]] graph1, [[.:​common#​GraphAdjacency |GraphAdjacency]] graph2)''​**|[[.:​graph|graph]]|Functions|Comparing|
 +|**''​[[.:​group#​isotypic_basis |isotypic_basis]]([[.:​group:​Group |Group]] G, [[.:​group:​PermutationActionOnSets |PermutationActionOnSets]] A, [[.:​common#​Int |Int]] i)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​group#​isotypic_basis |isotypic_basis]]([[.:​group:​Group |Group]] G, [[.:​group:​PermutationAction |PermutationAction]] A, [[.:​common#​Int |Int]] i)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​group#​isotypic_basis |isotypic_basis]]<​Scalar>​([[.:​group:​Group |Group]] G, [[.:​group:​MatrixActionOnVectors |MatrixActionOnVectors]]<​Scalar>​ A, [[.:​common#​Int |Int]] i)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​polytope:​SymmetrizedCocircuitEquations#​ISOTYPIC_COMPONENTS |ISOTYPIC_COMPONENTS]]''​**|[[.:​polytope|polytope]]|property of SymmetrizedCocircuitEquations|no category|
 +|**''​[[.:​polytope#​isotypic_configuration |isotypic_configuration]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​common#​Int |Int]] i)''​**|[[.:​polytope|polytope]]|Functions|Symmetry|
 +|**''​[[.:​group#​isotypic_projector |isotypic_projector]]([[.:​group:​Group |Group]] G, [[.:​group:​PermutationAction |PermutationAction]] A, [[.:​common#​Int |Int]] i)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​group#​isotypic_projector |isotypic_projector]]<​Scalar>​([[.:​group:​Group |Group]] G, [[.:​group:​MatrixActionOnVectors |MatrixActionOnVectors]]<​Scalar>​ A, [[.:​common#​Int |Int]] i)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​group#​isotypic_supports |isotypic_supports]]([[.:​group:​PermutationActionOnSets |PermutationActionOnSets]] a, [[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]> A)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​group#​isotypic_supports |isotypic_supports]]([[.:​group:​PermutationActionOnSets |PermutationActionOnSets]] a, [[.:​common#​SparseMatrix |SparseMatrix]] M)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​topaz#​iterated_barycentric_subdivision |iterated_barycentric_subdivision]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex, [[.:​common#​Int |Int]] k)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​polytope#​iterated_barycentric_subdivision |iterated_barycentric_subdivision]]([[.:​polytope:​Cone |Cone]] c, [[.:​common#​Int |Int]] n)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope:​VoronoiPolyhedron#​ITERATED_DELAUNAY_GRAPH |ITERATED_DELAUNAY_GRAPH]]''​**|[[.:​polytope|polytope]]|property of VoronoiPolyhedron|no category|
 +|**''​[[.:​polytope:​VoronoiPolyhedron#​ITERATED_VORONOI_GRAPH |ITERATED_VORONOI_GRAPH]]''​**|[[.:​polytope|polytope]]|property of VoronoiPolyhedron|no category|
 +|**''​[[.:​common#​Iterator |Iterator]]<​Element>''​**|[[.:​common|common]]|Property_types|Artificial|
 +|**''​[[.:​matroid#​j_matroid |j_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​common#​javaview |javaview]]([[.:​common:​Visual_Object |Visual::​Object]] vis_obj ...)''​**|[[.:​common|common]]|Functions|Visualization|
 +|**''​[[.:​graph#​johnson_graph |johnson_graph]]([[.:​common#​Int |Int]] n, [[.:​common#​Int |Int]] k)''​**|[[.:​graph|graph]]|Functions|Producing a graph|
 +|**''​[[.:​polytope#​johnson_solid |johnson_solid]]([[.:​common#​Int |Int]] n)''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​polytope#​johnson_solid |johnson_solid]]([[.:​common#​String |String]] s)''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​topaz#​join_complexes |join_complexes]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex1, [[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex2)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​polytope#​join_polytopes |join_polytopes]]([[.:​polytope:​Polytope |Polytope]] P1, [[.:​polytope:​Polytope |Polytope]] P2)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​common#​jreality |jreality]]([[.:​common:​Visual_Object |Visual::​Object]] vis_obj ...)''​**|[[.:​common|common]]|Functions|Visualization|
 +|**''​[[.:​common#​ExtGCD |k1]]()''​**|[[.:​common|common]]|method of ExtGCD|no category|
 +|**''​[[.:​common#​ExtGCD |k2]]()''​**|[[.:​common|common]]|method of ExtGCD|no category|
 +|**''​[[.:​polytope#​k_cyclic |k_cyclic]]([[.:​common#​Int |Int]] n, [[.:​common#​Vector |Vector]] s)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​topaz#​k_skeleton |k_skeleton]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex, [[.:​common#​Int |Int]] k)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​topaz#​k_skeleton |k_skeleton]]([[.:​topaz:​GeometricSimplicialComplex |GeometricSimplicialComplex]] complex, [[.:​common#​Int |Int]] k)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​fan#​k_skeleton |k_skeleton]]<​Coord>​([[.:​fan:​PolyhedralFan |PolyhedralFan]] F, [[.:​common#​Int |Int]] k)''​**|[[.:​fan|fan]]|Functions|Producing a fan|
 +|**''​[[.:​polytope#​klee_minty_cube |klee_minty_cube]]([[.:​common#​Int |Int]] d, Scalar e)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​topaz#​klein_bottle |klein_bottle]]()''​**|[[.:​topaz|topaz]]|Functions|Producing from scratch|
 +|**''​[[.:​graph#​kneser_graph |kneser_graph]]([[.:​common#​Int |Int]] n, [[.:​common#​Int |Int]] k)''​**|[[.:​graph|graph]]|Functions|Producing a graph|
 +|**''​[[.:​topaz:​SimplicialComplex#​KNOT |KNOT]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Topology|
 +|**''​[[.:​matroid#​l8_matroid |l8_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​common#​labeled |labeled]]([[.:​common#​Vector |Vector]] data, [[.:​common#​Array |Array]]<​[[.:​common#​String |String]]>​ elem_labels)''​**|[[.:​common|common]]|Functions|Formatting|
 +|**''​[[.:​topaz:​SimplicialComplex#​labeled_vertices |labeled_vertices]]([[.:​common#​String |String]] label ...)''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​labeled_vertices |labeled_vertices]]([[.:​common#​String |String]] label ...)''​**|[[.:​polytope|polytope]]|method of Polytope|Geometry|
 +|**''​[[.:​matroid:​Matroid#​LABELS |LABELS]]''​**|[[.:​matroid|matroid]]|property of Matroid|Other|
 +|**''​[[.:​polytope:​VectorConfiguration#​LABELS |LABELS]]''​**|[[.:​polytope|polytope]]|property of VectorConfiguration|Visualization|
 +|**''​[[.:​fan:​SubdivisionOfVectors#​LABELS |LABELS]]''​**|[[.:​fan|fan]]|property of SubdivisionOfVectors|Visualization|
 +|**''​[[.:​matroid:​Matroid#​LAMINAR |LAMINAR]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​graph#​laplacian |laplacian]]([[.:​graph:​Graph |Graph]] G)''​**|[[.:​graph|graph]]|Functions|Combinatorics|
 +|**''​[[.:​graph#​laplacian |laplacian]]([[.:​graph:​Graph |Graph]] G)''​**|[[.:​graph|graph]]|Functions|Combinatorics|
 +|**''​[[.:​common#​latex |latex]]([[.:​common#​Matrix |Matrix]] data, [[.:​common#​Array |Array]]<​[[.:​common#​String |String]]>​ elem_labels)''​**|[[.:​common|common]]|Functions|Formatting|
 +|**''​[[.:​polytope:​Polytope#​LATTICE |LATTICE]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​Visual_Polytope#​LATTICE |LATTICE]]()''​**|[[.:​polytope|polytope]]|method of Visual::​Polytope|no category|
 +|**''​[[.:​graph:​Lattice#​Lattice |Lattice]]<​Decoration,​ SeqType>''​**|[[.:​graph|graph]]|Objects|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​LATTICE_ACCUMULATED_EDGE_LENGTHS |LATTICE_ACCUMULATED_EDGE_LENGTHS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​polytope#​lattice_automorphisms_smooth_polytope |lattice_automorphisms_smooth_polytope]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Symmetry|
 +|**''​[[.:​tropical:​Cycle#​LATTICE_BASES |LATTICE_BASES]]''​**|[[.:​tropical|tropical]]|property of Cycle|Weights and lattices|
 +|**''​[[.:​common#​lattice_basis |lattice_basis]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​Integer |Integer]]>​ A)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​polytope:​Polytope#​LATTICE_BASIS |LATTICE_BASIS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​polytope#​lattice_bipyramid |lattice_bipyramid]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​common#​Vector |Vector]] v, [[.:​common#​Vector |Vector]] v_prime, [[.:​common#​Rational |Rational]] z, [[.:​common#​Rational |Rational]] z_prime)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​polytope:​Polytope#​LATTICE_CODEGREE |LATTICE_CODEGREE]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​polytope:​Visual_Polytope#​LATTICE_COLORED |LATTICE_COLORED]]()''​**|[[.:​polytope|polytope]]|method of Visual::​Polytope|no category|
 +|**''​[[.:​polytope:​Polytope#​LATTICE_DEGREE |LATTICE_DEGREE]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​polytope:​Polytope#​LATTICE_EDGE_LENGTHS |LATTICE_EDGE_LENGTHS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​polytope:​Polytope#​LATTICE_EMPTY |LATTICE_EMPTY]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​tropical:​Cycle#​LATTICE_GENERATORS |LATTICE_GENERATORS]]''​**|[[.:​tropical|tropical]]|property of Cycle|Weights and lattices|
 +|**''​[[.:​polytope:​Polytope#​LATTICE_HOLLOW |LATTICE_HOLLOW]]''​**|[[.:​polytope|polytope]]|method of Polytope|no category|
 +|**''​[[.:​tropical#​lattice_index |lattice_index]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​Integer |Integer]]>​ m)''​**|[[.:​tropical|tropical]]|Functions|Lattices|
 +|**''​[[.:​polytope#​lattice_isomorphic_smooth_polytopes |lattice_isomorphic_smooth_polytopes]]([[.:​polytope:​Polytope |Polytope]] P1, [[.:​polytope:​Polytope |Polytope]] P2)''​**|[[.:​polytope|polytope]]|Functions|Comparing|
 +|**''​[[.:​tropical:​Cycle#​lattice_normal |lattice_normal]]([[.:​common#​Int |Int]] i, [[.:​common#​Int |Int]] j)''​**|[[.:​tropical|tropical]]|method of Cycle|Weights and lattices|
 +|**''​[[.:​tropical:​Cycle#​LATTICE_NORMAL_FCT_VECTOR |LATTICE_NORMAL_FCT_VECTOR]]''​**|[[.:​tropical|tropical]]|property of Cycle|Weights and lattices|
 +|**''​[[.:​tropical:​Cycle#​LATTICE_NORMAL_SUM |LATTICE_NORMAL_SUM]]''​**|[[.:​tropical|tropical]]|property of Cycle|Weights and lattices|
 +|**''​[[.:​tropical:​Cycle#​LATTICE_NORMAL_SUM_FCT_VECTOR |LATTICE_NORMAL_SUM_FCT_VECTOR]]''​**|[[.:​tropical|tropical]]|property of Cycle|Weights and lattices|
 +|**''​[[.:​tropical:​Cycle#​LATTICE_NORMALS |LATTICE_NORMALS]]''​**|[[.:​tropical|tropical]]|property of Cycle|Weights and lattices|
 +|**''​[[.:​graph#​lattice_of_chains |lattice_of_chains]]([[.:​graph:​Lattice |Lattice]]<​Decoration>​ lattice)''​**|[[.:​graph|graph]]|Functions|Combinatorics|
 +|**''​[[.:​matroid:​Matroid#​LATTICE_OF_CYCLIC_FLATS |LATTICE_OF_CYCLIC_FLATS]]''​**|[[.:​matroid|matroid]]|property of Matroid|Axiom systems|
 +|**''​[[.:​matroid:​Matroid#​LATTICE_OF_FLATS |LATTICE_OF_FLATS]]''​**|[[.:​matroid|matroid]]|property of Matroid|Axiom systems|
 +|**''​[[.:​polytope:​Polytope#​LATTICE_POINTS |LATTICE_POINTS]]()''​**|[[.:​polytope|polytope]]|method of Polytope|Lattice points in polytopes|
 +|**''​[[.:​polytope:​Polytope#​LATTICE_POINTS_GENERATORS |LATTICE_POINTS_GENERATORS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in polytopes|
 +|**''​[[.:​polytope#​lattice_pyramid |lattice_pyramid]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​common#​Rational |Rational]] z, [[.:​common#​Vector |Vector]] v)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​polytope:​Polytope#​LATTICE_VOLUME |LATTICE_VOLUME]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​polytope:​Polytope#​LATTICE_WIDTH |LATTICE_WIDTH]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​polytope:​Polytope#​LATTICE_WIDTH_DIRECTION |LATTICE_WIDTH_DIRECTION]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​polytope#​lawrence |lawrence]]([[.:​polytope:​Cone |Cone]] P)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​polytope#​lawrence_matrix |lawrence_matrix]]([[.:​common#​Matrix |Matrix]] M)''​**|[[.:​polytope|polytope]]|Functions|Other|
 +|**''​[[.:​group:​LayeredPermutationAction#​LayeredPermutationAction |LayeredPermutationAction]]''​**|[[.:​group|group]]|Objects|no category|
 +|**''​[[.:​common#​UniPolynomial |lc]]()''​**|[[.:​common|common]]|method of UniPolynomial|no category|
 +|**''​[[.:​common#​Polynomial |lc]]()''​**|[[.:​common|common]]|method of Polynomial|no category|
 +|**''​[[.:​common#​lcm |lcm]]([[.:​common#​Int |Int]] a, [[.:​common#​Int |Int]] b)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​common#​lcm |lcm]]([[.:​common#​Vector |Vector]]<//​Scalar//>​ v)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​polytope#​lecture_hall_simplex |lecture_hall_simplex]]([[.:​common#​Int |Int]] d)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​graph#​LEDA_graph |LEDA_graph]]([[.:​common#​GraphAdjacency |GraphAdjacency]] G)''​**|[[.:​graph|graph]]|Functions|Visualization|
 +|**''​[[.:​common#​SmithNormalForm |left_companion]]()''​**|[[.:​common|common]]|method of SmithNormalForm|no category|
 +|**''​[[.:​common#​SingularValueDecomposition |left_companion]]()''​**|[[.:​common|common]]|method of SingularValueDecomposition|no category|
 +|**''​[[.:​matroid#​lex_extension |lex_extension]]([[.:​matroid:​Matroid |Matroid]] M, [[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]> C)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from matroids|
 +|**''​[[.:​group:​PermutationAction#​lex_maximal |lex_maximal]]''​**|[[.:​group|group]]|method of PermutationAction|Orbits|
 +|**''​[[.:​group#​lex_min_representative |lex_min_representative]]([[.:​group:​Group |Group]] G, [[.:​common#​Set |Set]] S)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​group:​PermutationAction#​lex_minimal |lex_minimal]]''​**|[[.:​group|group]]|method of PermutationAction|Orbits|
 +|**''​[[.:​common#​lex_ordered |lex_ordered]]([[.:​common#​FacetList |FacetList]] f)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​tropical#​lifted_pluecker |lifted_pluecker]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition%%>>​%% V)''​**|[[.:​tropical|tropical]]|Functions|Other|
 +|**''​[[.:​fulton:​RationalDivisorClassGroup#​LIFTING |LIFTING]]''​**|[[.:​fulton|fulton]]|property of RationalDivisorClassGroup|Algebraic Geometry|
 +|**''​[[.:​common#​lin_solve |lin_solve]]([[.:​common#​Matrix |Matrix]] A, [[.:​common#​Vector |Vector]] b)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​graph#​line_graph |line_graph]]([[.:​graph:​Graph |Graph]] G)''​**|[[.:​graph|graph]]|Functions|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​LINEALITY_DIM |LINEALITY_DIM]]''​**|[[.:​polytope|polytope]]|property of Cone|Geometry|
 +|**''​[[.:​fan:​PolyhedralFan#​LINEALITY_DIM |LINEALITY_DIM]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Geometry|
 +|**''​[[.:​common#​lineality_space |lineality_space]]([[.:​common#​Matrix |Matrix]] A)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​polytope:​Cone#​LINEALITY_SPACE |LINEALITY_SPACE]]''​**|[[.:​polytope|polytope]]|property of Cone|Geometry|
 +|**''​[[.:​fan:​PolyhedralFan#​LINEALITY_SPACE |LINEALITY_SPACE]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Geometry|
 +|**''​[[.:​fan:​HyperplaneArrangement#​LINEALITY_SPACE |LINEALITY_SPACE]]''​**|[[.:​fan|fan]]|property of HyperplaneArrangement|Geometry|
 +|**''​[[.:​group:​Action#​LINEALITY_SPACE_GENERATORS |LINEALITY_SPACE_GENERATORS]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​tropical:​TropicalRationalFunction#​LINEALITY_VALUES |LINEALITY_VALUES]]''​**|[[.:​tropical|tropical]]|property of TropicalRationalFunction|Defining morphisms and functions|
 +|**''​[[.:​tropical:​Morphism#​LINEALITY_VALUES |LINEALITY_VALUES]]''​**|[[.:​tropical|tropical]]|property of Morphism|Defining morphisms and functions|
 +|**''​[[.:​polytope:​MixedIntegerLinearProgram#​LINEAR_OBJECTIVE |LINEAR_OBJECTIVE]]''​**|[[.:​polytope|polytope]]|property of MixedIntegerLinearProgram|no category|
 +|**''​[[.:​polytope:​LinearProgram#​LINEAR_OBJECTIVE |LINEAR_OBJECTIVE]]''​**|[[.:​polytope|polytope]]|property of LinearProgram|no category|
 +|**''​[[.:​tropical#​linear_space |linear_space]]([[.:​matroid:​ValuatedMatroid |ValuatedMatroid]]<​Addition,​[[.:​common#​Rational |Rational]]>​ A)''​**|[[.:​tropical|tropical]]|Functions|Tropical linear spaces|
 +|**''​[[.:​polytope:​Cone#​LINEAR_SPAN |LINEAR_SPAN]]''​**|[[.:​polytope|polytope]]|property of Cone|Geometry|
 +|**''​[[.:​polytope:​VectorConfiguration#​LINEAR_SPAN |LINEAR_SPAN]]''​**|[[.:​polytope|polytope]]|property of VectorConfiguration|Geometry|
 +|**''​[[.:​fan:​SubdivisionOfVectors#​LINEAR_SPAN |LINEAR_SPAN]]''​**|[[.:​fan|fan]]|property of SubdivisionOfVectors|Geometry|
 +|**''​[[.:​fan:​PolyhedralFan#​LINEAR_SPAN_NORMALS |LINEAR_SPAN_NORMALS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Geometry|
 +|**''​[[.:​polytope#​linear_symmetries |linear_symmetries]]''​**|[[.:​polytope|polytope]]|Functions|Symmetry|
 +|**''​[[.:​polytope#​linear_symmetries |linear_symmetries]]([[.:​common#​Matrix |Matrix]] m)''​**|[[.:​polytope|polytope]]|Functions|Symmetry|
 +|**''​[[.:​polytope:​LinearProgram#​LinearProgram |LinearProgram]]<​Scalar>''​**|[[.:​polytope|polytope]]|Objects|Optimization|
 +|**''​[[.:​tropical#​lines_in_cubic |lines_in_cubic]]([[.:​common#​Polynomial |Polynomial]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition%%>>​%% p)''​**|[[.:​tropical|tropical]]|Functions|Lines in surfaces|
 +|**''​[[.:​tropical:​LinesInCubic#​LinesInCubic |LinesInCubic]]<​Addition>''​**|[[.:​tropical|tropical]]|Objects|no category|
 +|**''​[[.:​topaz#​link_complex |link_complex]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> face)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​common#​List |List]]<​Element>''​**|[[.:​common|common]]|Property_types|Basic Types|
 +|**''​[[.:​core:​Core_RuleChain#​list |list]]''​**|[[.:​core|core]]|method of Core::​RuleChain|no category|
 +|**''​[[.:​core:​Core_BigObject#​list_attachments |list_attachments]]''​**|[[.:​core|core]]|method of Core::​BigObject|no category|
 +|**''​[[.:​common:​PolyDB_Client#​list_collections |list_collections]]([[.:​common#​String |String]] section)''​**|[[.:​common|common]]|method of PolyDB::​Client|Database Access|
 +|**''​[[.:​tropical:​LinesInCubic#​LIST_FAMILY_FIXED_EDGE |LIST_FAMILY_FIXED_EDGE]]''​**|[[.:​tropical|tropical]]|property of LinesInCubic|Lists of lines|
 +|**''​[[.:​tropical:​LinesInCubic#​LIST_FAMILY_FIXED_VERTEX |LIST_FAMILY_FIXED_VERTEX]]''​**|[[.:​tropical|tropical]]|property of LinesInCubic|Lists of lines|
 +|**''​[[.:​tropical:​LinesInCubic#​LIST_FAMILY_MOVING_EDGE |LIST_FAMILY_MOVING_EDGE]]''​**|[[.:​tropical|tropical]]|property of LinesInCubic|Lists of lines|
 +|**''​[[.:​tropical:​LinesInCubic#​LIST_FAMILY_MOVING_VERTEX |LIST_FAMILY_MOVING_VERTEX]]''​**|[[.:​tropical|tropical]]|property of LinesInCubic|Lists of lines|
 +|**''​[[.:​tropical:​LinesInCubic#​LIST_ISOLATED_EDGE |LIST_ISOLATED_EDGE]]''​**|[[.:​tropical|tropical]]|property of LinesInCubic|Lists of lines|
 +|**''​[[.:​tropical:​LinesInCubic#​LIST_ISOLATED_NO_EDGE |LIST_ISOLATED_NO_EDGE]]''​**|[[.:​tropical|tropical]]|property of LinesInCubic|Lists of lines|
 +|**''​[[.:​core:​Core_BigObject#​list_names |list_names]]''​**|[[.:​core|core]]|method of Core::​BigObject|no category|
 +|**''​[[.:​core:​Core_RuleChain#​list_new_properties |list_new_properties]]''​**|[[.:​core|core]]|method of Core::​RuleChain|no category|
 +|**''​[[.:​core:​Core_BigObject#​list_properties |list_properties]]([[.:​common#​Bool |Bool]] deep)''​**|[[.:​core|core]]|method of Core::​BigObject|no category|
 +|**''​[[.:​common:​PolyDB_Client#​list_sections |list_sections]]([[.:​common#​String |String]] section)''​**|[[.:​common|common]]|method of PolyDB::​Client|Database Access|
 +|**''​[[.:​common#​Polynomial |lm]]()''​**|[[.:​common|common]]|method of Polynomial|no category|
 +|**''​[[.:​core#​load |load]]([[.:​common#​String |String]] filename)''​**|[[.:​core|core]]|Functions|Basic|
 +|**''​[[.:​core#​load_commands |load_commands]]([[.:​common#​String |String]] filename)''​**|[[.:​core|core]]|Functions|Interactive|
 +|**''​[[.:​core#​load_data |load_data]]([[.:​common#​String |String]] filename)''​**|[[.:​core|core]]|Functions|Basic|
 +|**''​[[.:​core#​load_schema |load_schema]]([[.:​common#​String |String]] filename)''​**|[[.:​core|core]]|Functions|Schemas|
 +|**''​[[.:​ideal#​load_singular_library |load_singular_library]]([[.:​common#​String |String]] s)''​**|[[.:​ideal|ideal]]|Functions|Singular interface|
 +|**''​[[.:​tropical#​local_codim_one |local_codim_one]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ complex, [[.:​common#​Int |Int]] face)''​**|[[.:​tropical|tropical]]|Functions|Local computations|
 +|**''​[[.:​tropical#​local_m0n |local_m0n]]<​Addition>​([[.:​tropical:​RationalCurve |RationalCurve]] R ...)''​**|[[.:​tropical|tropical]]|Functions|Moduli of rational curves|
 +|**''​[[.:​tropical#​local_point |local_point]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ complex, [[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ v)''​**|[[.:​tropical|tropical]]|Functions|Local computations|
 +|**''​[[.:​tropical#​local_restrict |local_restrict]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ complex, [[.:​common#​IncidenceMatrix |IncidenceMatrix]] cones)''​**|[[.:​tropical|tropical]]|Functions|Local computations|
 +|**''​[[.:​tropical:​Cycle#​LOCAL_RESTRICTION |LOCAL_RESTRICTION]]''​**|[[.:​tropical|tropical]]|property of Cycle|Local computations|
 +|**''​[[.:​common#​local_var_names |local_var_names]]([[.:​common#​String |String]] names ...)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​tropical#​local_vertex |local_vertex]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ complex, [[.:​common#​Int |Int]] ray)''​**|[[.:​tropical|tropical]]|Functions|Local computations|
 +|**''​[[.:​common#​LocalFloatEpsilon |LocalFloatEpsilon]]''​**|[[.:​common|common]]|Property_types|Artificial|
 +|**''​[[.:​topaz:​SimplicialComplex#​LOCALLY_STRONGLY_CONNECTED |LOCALLY_STRONGLY_CONNECTED]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Topology|
 +|**''​[[.:​polytope#​long_and_winding |long_and_winding]]([[.:​common#​Int |Int]] r)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​core:​Core_BigObject#​lookup |lookup]]([[.:​common#​String |String]] property_name,​ Any multi_choice)''​**|[[.:​core|core]]|method of Core::​BigObject|no category|
 +|**''​[[.:​matroid:​Matroid#​LOOPS |LOOPS]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​common#​UniPolynomial |lower_deg]]()''​**|[[.:​common|common]]|method of UniPolynomial|no category|
 +|**''​[[.:​fulton#​lower_lattice_points |lower_lattice_points]]''​**|[[.:​fulton|fulton]]|Functions|Commutative Algebra|
 +|**''​[[.:​polytope:​Polytope#​LP |LP]]''​**|[[.:​polytope|polytope]]|property of Polytope|Optimization|
 +|**''​[[.:​polytope#​lp2poly |lp2poly]]<​Scalar>​([[.:​common#​String |String]] file, [[.:​common#​Vector |Vector]] testvec, [[.:​common#​String |String]] prefix)''​**|[[.:​polytope|polytope]]|Functions|Optimization|
 +|**''​[[.:​tropical#​m0n |m0n]]<​Addition>​([[.:​common#​Int |Int]] n)''​**|[[.:​tropical|tropical]]|Functions|Moduli of rational curves|
 +|**''​[[.:​polytope#​m_sequence |m_sequence]]([[.:​common#​Vector |Vector]]<​[[.:​common#​Int |Int]]> h)''​**|[[.:​polytope|polytope]]|Functions|Other|
 +|**''​[[.:​polytope:​Polytope#​MAHLER_VOLUME |MAHLER_VOLUME]]''​**|[[.:​polytope|polytope]]|property of Polytope|Triangulation and volume|
 +|**''​[[.:​fan#​make_hyperplanes_unique_in_support |make_hyperplanes_unique_in_support]]''​**|[[.:​fan|fan]]|Functions|no category|
 +|**''​[[.:​polytope#​make_totally_dual_integral |make_totally_dual_integral]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​topaz:​SimplicialComplex#​MANIFOLD |MANIFOLD]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Topology|
 +|**''​[[.:​common#​Map |Map]]<​Key,​ Value>''​**|[[.:​common|common]]|Property_types|Set Types|
 +|**''​[[.:​polytope#​mapping_polytope |mapping_polytope]]([[.:​polytope:​Polytope |Polytope]] P1, [[.:​polytope:​Polytope |Polytope]] P2)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​common#​Polynomial |mapvars]]([[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]> indices, [[.:​common#​Int |Int]] nvars)''​**|[[.:​common|common]]|method of Polynomial|no category|
 +|**''​[[.:​polytope:​PointConfiguration#​MASSIVE_GKZ_VECTOR |MASSIVE_GKZ_VECTOR]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Triangulation and volume|
 +|**''​[[.:​topaz:​SimplicialComplex#​MATCHING |MATCHING]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|no category|
 +|**''​[[.:​common#​Matrix |Matrix]]<​Element,​ Sym>''​**|[[.:​common|common]]|Property_types|Algebraic Types|
 +|**''​[[.:​tropical:​Morphism#​MATRIX |MATRIX]]''​**|[[.:​tropical|tropical]]|property of Morphism|Defining morphisms and functions|
 +|**''​[[.:​polytope:​Polytope#​MATRIX_ACTION |MATRIX_ACTION]]''​**|[[.:​polytope|polytope]]|property of Polytope|Symmetry|
 +|**''​[[.:​polytope:​Cone#​MATRIX_ACTION |MATRIX_ACTION]]''​**|[[.:​polytope|polytope]]|property of Cone|Symmetry|
 +|**''​[[.:​polytope:​PointConfiguration#​MATRIX_ACTION |MATRIX_ACTION]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Symmetry|
 +|**''​[[.:​polytope:​VectorConfiguration#​MATRIX_ACTION |MATRIX_ACTION]]''​**|[[.:​polytope|polytope]]|property of VectorConfiguration|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​MATRIX_ACTION |MATRIX_ACTION]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​MATRIX_ACTION_ON_COMPLEX |MATRIX_ACTION_ON_COMPLEX]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​group:​MatrixActionOnVectors#​MatrixActionOnVectors |MatrixActionOnVectors]]''​**|[[.:​group|group]]|Objects|no category|
 +|**''​[[.:​tropical#​matrixPair2apexSet |matrixPair2apexSet]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]>​ G, [[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]>​ A)''​**|[[.:​tropical|tropical]]|Functions|Tropical operations|
 +|**''​[[.:​matroid:​Matroid#​Matroid |Matroid]]''​**|[[.:​matroid|matroid]]|Objects|no category|
 +|**''​[[.:​tropical#​matroid_coordinates_from_curve |matroid_coordinates_from_curve]]<​Addition>​([[.:​tropical:​RationalCurve |RationalCurve]] r)''​**|[[.:​tropical|tropical]]|Functions|Abstract rational curves|
 +|**''​[[.:​tropical#​matroid_fan |matroid_fan]]<​Addition>​([[.:​matroid:​Matroid |Matroid]] m)''​**|[[.:​tropical|tropical]]|Functions|Matroids|
 +|**''​[[.:​tropical#​matroid_fan |matroid_fan]]<​Addition>​([[.:​common#​Matrix |Matrix]]<​[[.:​common#​Rational |Rational]]>​ m)''​**|[[.:​tropical|tropical]]|Functions|Matroids|
 +|**''​[[.:​tropical#​matroid_fan_from_flats |matroid_fan_from_flats]]<​Addition>​([[.:​matroid:​Matroid |Matroid]] A)''​**|[[.:​tropical|tropical]]|Functions|Matroids|
 +|**''​[[.:​matroid#​matroid_from_characteristic_vector |matroid_from_characteristic_vector]]([[.:​common#​Vector |Vector]]<​[[.:​common#​Integer |Integer]]>​ v, [[.:​common#​Int |Int]] r, [[.:​common#​Int |Int]] n)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from other objects|
 +|**''​[[.:​matroid#​matroid_from_cyclic_flats |matroid_from_cyclic_flats]]([[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]%%>>​%% F, [[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]%%>>​%% R, [[.:​common#​Int |Int]] N)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from other objects|
 +|**''​[[.:​tropical#​matroid_from_fan |matroid_from_fan]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ A)''​**|[[.:​tropical|tropical]]|Functions|Matroids|
 +|**''​[[.:​matroid#​matroid_from_graph |matroid_from_graph]]([[.:​graph:​Graph |Graph]] g)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from other objects|
 +|**''​[[.:​matroid#​matroid_from_matroid_polytope |matroid_from_matroid_polytope]]([[.:​polytope:​Polytope |Polytope]] p)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from other objects|
 +|**''​[[.:​matroid:​Matroid#​MATROID_HYPERPLANES |MATROID_HYPERPLANES]]''​**|[[.:​matroid|matroid]]|property of Matroid|Axiom systems|
 +|**''​[[.:​polytope#​matroid_indices_of_hypersimplex_vertices |matroid_indices_of_hypersimplex_vertices]]()''​**|[[.:​polytope|polytope]]|Functions|Other|
 +|**''​[[.:​matroid#​matroid_plueckervector |matroid_plueckervector]]([[.:​matroid:​Matroid |Matroid]] m)''​**|[[.:​matroid|matroid]]|Functions|Other|
 +|**''​[[.:​tropical#​matroid_polytope |matroid_polytope]]<​Addition,​ Scalar>​([[.:​matroid:​Matroid |Matroid]] m, Scalar v)''​**|[[.:​tropical|tropical]]|Functions|Producing a tropical polytope|
 +|**''​[[.:​tropical#​matroid_ring_cycle |matroid_ring_cycle]]<​Addition>​([[.:​matroid:​Matroid |Matroid]] M, [[.:​common#​Int |Int]] scale)''​**|[[.:​tropical|tropical]]|Functions|Creation functions for specific cycles|
 +|**''​[[.:​tropical#​matroid_ring_linear_space |matroid_ring_linear_space]]([[.:​tropical:​MatroidRingCycle |MatroidRingCycle]] L)''​**|[[.:​tropical|tropical]]|Functions|Matroid ring cycle arithmetics|
 +|**''​[[.:​tropical#​matroid_ring_product |matroid_ring_product]]([[.:​tropical:​MatroidRingCycle |MatroidRingCycle]] A, [[.:​tropical:​MatroidRingCycle |MatroidRingCycle]] B)''​**|[[.:​tropical|tropical]]|Functions|Matroid ring cycle arithmetics|
 +|**''​[[.:​tropical#​matroid_ring_sum |matroid_ring_sum]]([[.:​tropical:​MatroidRingCycle |MatroidRingCycle]] A, [[.:​tropical:​MatroidRingCycle |MatroidRingCycle]] B)''​**|[[.:​tropical|tropical]]|Functions|Matroid ring cycle arithmetics|
 +|**''​[[.:​tropical:​MatroidRingCycle#​MatroidRingCycle |MatroidRingCycle]]<​Addition>''​**|[[.:​tropical|tropical]]|Objects|no category|
 +|**''​[[.:​common#​Max |Max]]''​**|[[.:​common|common]]|Property_types|Arithmetic|
 +|**''​[[.:​common#​Int |max]]''​**|[[.:​common|common]]|method of Int|no category|
 +|**''​[[.:​polytope:​Cone#​MAX_BOUNDARY_SIMPLICES |MAX_BOUNDARY_SIMPLICES]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​polytope:​PointConfiguration#​MAX_BOUNDARY_SIMPLICES |MAX_BOUNDARY_SIMPLICES]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Combinatorics|
 +|**''​[[.:​topaz:​SimplicialComplex#​MAX_CLIQUES |MAX_CLIQUES]]()''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|Combinatorics|
 +|**''​[[.:​graph:​Graph#​MAX_CLIQUES |MAX_CLIQUES]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​polytope#​max_GC_rank |max_GC_rank]]([[.:​common#​Int |Int]] d)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​polytope:​Cone#​MAX_INTERIOR_SIMPLICES |MAX_INTERIOR_SIMPLICES]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​polytope:​PointConfiguration#​MAX_INTERIOR_SIMPLICES |MAX_INTERIOR_SIMPLICES]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Combinatorics|
 +|**''​[[.:​polytope#​max_interior_simplices |max_interior_simplices]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope#​max_interior_simplices |max_interior_simplices]]([[.:​polytope:​PointConfiguration |PointConfiguration]] P)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​fan#​max_metric |max_metric]]([[.:​common#​Int |Int]] n)''​**|[[.:​fan|fan]]|Functions|Finite metric spaces|
 +|**''​[[.:​tropical:​Cycle#​MAXIMAL_AT_CODIM_ONE |MAXIMAL_AT_CODIM_ONE]]''​**|[[.:​tropical|tropical]]|property of Cycle|Combinatorics|
 +|**''​[[.:​fan:​SubdivisionOfVectors#​MAXIMAL_CELLS |MAXIMAL_CELLS]]''​**|[[.:​fan|fan]]|property of SubdivisionOfVectors|Combinatorics|
 +|**''​[[.:​graph#​maximal_chains_of_lattice |maximal_chains_of_lattice]]([[.:​graph:​Lattice |Lattice]] F)''​**|[[.:​graph|graph]]|Functions|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralFan#​MAXIMAL_CONE_LABELS |MAXIMAL_CONE_LABELS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Visualization|
 +|**''​[[.:​fan:​PolyhedralFan#​MAXIMAL_CONES |MAXIMAL_CONES]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Combinatorics|
 +|**''​[[.:​group:​Group#​MAXIMAL_CONES_ACTION |MAXIMAL_CONES_ACTION]]''​**|[[.:​group|group]]|property of Group|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​MAXIMAL_CONES_ACTION |MAXIMAL_CONES_ACTION]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​MAXIMAL_CONES_COMBINATORIAL_DIMS |MAXIMAL_CONES_COMBINATORIAL_DIMS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralFan#​MAXIMAL_CONES_FACETS |MAXIMAL_CONES_FACETS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Geometry|
 +|**''​[[.:​group:​Action#​MAXIMAL_CONES_GENERATORS |MAXIMAL_CONES_GENERATORS]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​MAXIMAL_CONES_IN_ORBITS |MAXIMAL_CONES_IN_ORBITS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​MAXIMAL_CONES_INCIDENCES |MAXIMAL_CONES_INCIDENCES]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralFan#​MAXIMAL_CONES_LINEAR_SPAN_NORMALS |MAXIMAL_CONES_LINEAR_SPAN_NORMALS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Geometry|
 +|**''​[[.:​fan:​PolyhedralFan#​MAXIMAL_CONES_ORBIT_SIZES |MAXIMAL_CONES_ORBIT_SIZES]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​MAXIMAL_CONES_REPS |MAXIMAL_CONES_REPS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​MAXIMAL_CONES_REPS_DIMS |MAXIMAL_CONES_REPS_DIMS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​MAXIMAL_CONES_REPS_FACETS |MAXIMAL_CONES_REPS_FACETS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​MAXIMAL_CONES_REPS_LINEAR_SPAN_NORMALS |MAXIMAL_CONES_REPS_LINEAR_SPAN_NORMALS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​MAXIMAL_CONES_THRU_RAYS |MAXIMAL_CONES_THRU_RAYS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Combinatorics|
 +|**''​[[.:​tropical:​Polytope#​MAXIMAL_COVECTOR_CELLS |MAXIMAL_COVECTOR_CELLS]]''​**|[[.:​tropical|tropical]]|property of Polytope|Combinatorics|
 +|**''​[[.:​tropical:​Polytope#​MAXIMAL_COVECTORS |MAXIMAL_COVECTORS]]''​**|[[.:​tropical|tropical]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​LinearProgram#​MAXIMAL_FACE |MAXIMAL_FACE]]''​**|[[.:​polytope|polytope]]|property of LinearProgram|no category|
 +|**''​[[.:​fan:​PolyhedralComplex#​MAXIMAL_POLYTOPES |MAXIMAL_POLYTOPES]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralComplex#​MAXIMAL_POLYTOPES_ACTION |MAXIMAL_POLYTOPES_ACTION]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​MAXIMAL_POLYTOPES_AFFINE_HULL_NORMALS |MAXIMAL_POLYTOPES_AFFINE_HULL_NORMALS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Geometry|
 +|**''​[[.:​fan:​PolyhedralComplex#​MAXIMAL_POLYTOPES_COMBINATORIAL_DIMS |MAXIMAL_POLYTOPES_COMBINATORIAL_DIMS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralComplex#​MAXIMAL_POLYTOPES_FACETS |MAXIMAL_POLYTOPES_FACETS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Geometry|
 +|**''​[[.:​fan:​PolyhedralComplex#​MAXIMAL_POLYTOPES_GENERATORS |MAXIMAL_POLYTOPES_GENERATORS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​MAXIMAL_POLYTOPES_IN_ORBITS |MAXIMAL_POLYTOPES_IN_ORBITS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​MAXIMAL_POLYTOPES_INCIDENCES |MAXIMAL_POLYTOPES_INCIDENCES]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralComplex#​MAXIMAL_POLYTOPES_ORBIT_SIZES |MAXIMAL_POLYTOPES_ORBIT_SIZES]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​MAXIMAL_POLYTOPES_REPS |MAXIMAL_POLYTOPES_REPS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​MAXIMAL_POLYTOPES_REPS_AFFINE_SPAN_NORMALS |MAXIMAL_POLYTOPES_REPS_AFFINE_SPAN_NORMALS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​MAXIMAL_POLYTOPES_REPS_DIMS |MAXIMAL_POLYTOPES_REPS_DIMS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​MAXIMAL_POLYTOPES_REPS_FACETS |MAXIMAL_POLYTOPES_REPS_FACETS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​MAXIMAL_POLYTOPES_THRU_VERTICES |MAXIMAL_POLYTOPES_THRU_VERTICES]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Combinatorics|
 +|**''​[[.:​polytope:​MixedIntegerLinearProgram#​MAXIMAL_SOLUTION |MAXIMAL_SOLUTION]]''​**|[[.:​polytope|polytope]]|property of MixedIntegerLinearProgram|no category|
 +|**''​[[.:​matroid:​Matroid#​MAXIMAL_TRANSVERSAL_PRESENTATION |MAXIMAL_TRANSVERSAL_PRESENTATION]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​polytope:​MixedIntegerLinearProgram#​MAXIMAL_VALUE |MAXIMAL_VALUE]]''​**|[[.:​polytope|polytope]]|property of MixedIntegerLinearProgram|no category|
 +|**''​[[.:​polytope:​LinearProgram#​MAXIMAL_VALUE |MAXIMAL_VALUE]]''​**|[[.:​polytope|polytope]]|property of LinearProgram|no category|
 +|**''​[[.:​polytope:​LinearProgram#​MAXIMAL_VERTEX |MAXIMAL_VERTEX]]''​**|[[.:​polytope|polytope]]|property of LinearProgram|no category|
 +|**''​[[.:​common#​maximum |maximum]](ARRAY array)''​**|[[.:​common|common]]|Functions|Utilities|
 +|**''​[[.:​common#​median |median]](ARRAY array)''​**|[[.:​common|common]]|Functions|Utilities|
 +|**''​[[.:​graph#​metapost |metapost]]([[.:​common:​Visual_Object |Visual::​Object]] vis_obj ...)''​**|[[.:​graph|graph]]|Functions|Visualization|
 +|**''​[[.:​fan#​metric_extended_tight_span |metric_extended_tight_span]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​Rational |Rational]]>​ M)''​**|[[.:​fan|fan]]|Functions|Finite metric spaces|
 +|**''​[[.:​fan#​metric_tight_span |metric_tight_span]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​Rational |Rational]]>​ M)''​**|[[.:​fan|fan]]|Functions|Finite metric spaces|
 +|**''​[[.:​tropical:​RationalCurve#​metric_vector |metric_vector]]''​**|[[.:​tropical|tropical]]|method of RationalCurve|Conversion|
 +|**''​[[.:​polytope:​Polytope#​MILP |MILP]]''​**|[[.:​polytope|polytope]]|property of Polytope|Optimization|
 +|**''​[[.:​common#​Min |Min]]''​**|[[.:​common|common]]|Property_types|Arithmetic|
 +|**''​[[.:​common#​Int |min]]''​**|[[.:​common|common]]|method of Int|no category|
 +|**''​[[.:​polytope:​Visual_SchlegelDiagram#​MIN_MAX_FACE |MIN_MAX_FACE]]([[.:​polytope:​LinearProgram |LinearProgram]] lp)''​**|[[.:​polytope|polytope]]|method of Visual::​SchlegelDiagram|no category|
 +|**''​[[.:​polytope:​Visual_PolytopeLattice#​MIN_MAX_FACE |MIN_MAX_FACE]]([[.:​polytope:​LinearProgram |LinearProgram]] lp)''​**|[[.:​polytope|polytope]]|method of Visual::​PolytopeLattice|no category|
 +|**''​[[.:​polytope:​Visual_PolytopeGraph#​MIN_MAX_FACE |MIN_MAX_FACE]]([[.:​polytope:​LinearProgram |LinearProgram]] lp)''​**|[[.:​polytope|polytope]]|method of Visual::​PolytopeGraph|no category|
 +|**''​[[.:​polytope:​Visual_Polytope#​MIN_MAX_FACE |MIN_MAX_FACE]]([[.:​polytope:​LinearProgram |LinearProgram]] lp)''​**|[[.:​polytope|polytope]]|method of Visual::​Polytope|no category|
 +|**''​[[.:​fan#​min_metric |min_metric]]([[.:​common#​Int |Int]] n)''​**|[[.:​fan|fan]]|Functions|Finite metric spaces|
 +|**''​[[.:​fan:​SubdivisionOfVectors#​MIN_WEIGHTS |MIN_WEIGHTS]]''​**|[[.:​fan|fan]]|property of SubdivisionOfVectors|Geometry|
 +|**''​[[.:​matroid#​minimal_base |minimal_base]]([[.:​matroid:​Matroid |Matroid]] matroid, [[.:​common#​Vector |Vector]] weights)''​**|[[.:​matroid|matroid]]|Functions|Other|
 +|**''​[[.:​polytope:​LinearProgram#​MINIMAL_FACE |MINIMAL_FACE]]''​**|[[.:​polytope|polytope]]|property of LinearProgram|no category|
 +|**''​[[.:​topaz:​SimplicialComplex#​MINIMAL_NON_FACES |MINIMAL_NON_FACES]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​MINIMAL_NON_FACES |MINIMAL_NON_FACES]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​MixedIntegerLinearProgram#​MINIMAL_SOLUTION |MINIMAL_SOLUTION]]''​**|[[.:​polytope|polytope]]|property of MixedIntegerLinearProgram|no category|
 +|**''​[[.:​polytope:​MixedIntegerLinearProgram#​MINIMAL_VALUE |MINIMAL_VALUE]]''​**|[[.:​polytope|polytope]]|property of MixedIntegerLinearProgram|no category|
 +|**''​[[.:​polytope:​LinearProgram#​MINIMAL_VALUE |MINIMAL_VALUE]]''​**|[[.:​polytope|polytope]]|property of LinearProgram|no category|
 +|**''​[[.:​polytope:​LinearProgram#​MINIMAL_VERTEX |MINIMAL_VERTEX]]''​**|[[.:​polytope|polytope]]|property of LinearProgram|no category|
 +|**''​[[.:​polytope:​Polytope#​MINIMAL_VERTEX_ANGLE |MINIMAL_VERTEX_ANGLE]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope#​minimal_vertex_angle |minimal_vertex_angle]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Geometry|
 +|**''​[[.:​common#​minimum |minimum]](ARRAY array)''​**|[[.:​common|common]]|Functions|Utilities|
 +|**''​[[.:​polytope:​Polytope#​MINKOWSKI_CONE |MINKOWSKI_CONE]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​Polytope#​MINKOWSKI_CONE_COEFF |MINKOWSKI_CONE_COEFF]]([[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ coeff)''​**|[[.:​polytope|polytope]]|method of Polytope|Geometry|
 +|**''​[[.:​polytope:​Polytope#​MINKOWSKI_CONE_POINT |MINKOWSKI_CONE_POINT]]([[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ point)''​**|[[.:​polytope|polytope]]|method of Polytope|Geometry|
 +|**''​[[.:​polytope#​minkowski_sum |minkowski_sum]]([[.:​polytope:​PointConfiguration |PointConfiguration]] P1, [[.:​polytope:​PointConfiguration |PointConfiguration]] P2)''​**|[[.:​polytope|polytope]]|Functions|Producing a point configuration|
 +|**''​[[.:​polytope#​minkowski_sum |minkowski_sum]](Scalar lambda, [[.:​polytope:​PointConfiguration |PointConfiguration]] P1, Scalar mu, [[.:​polytope:​PointConfiguration |PointConfiguration]] P2)''​**|[[.:​polytope|polytope]]|Functions|Producing a point configuration|
 +|**''​[[.:​polytope#​minkowski_sum |minkowski_sum]]([[.:​polytope:​Polytope |Polytope]] P1, [[.:​polytope:​Polytope |Polytope]] P2)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​polytope#​minkowski_sum |minkowski_sum]](Scalar lambda, [[.:​polytope:​Polytope |Polytope]] P1, Scalar mu, [[.:​polytope:​Polytope |Polytope]] P2)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​tropical#​minkowski_sum |minkowski_sum]]([[.:​common#​TropicalNumber |TropicalNumber]]<​Addition,​Scalar>​ lambda, [[.:​tropical:​Polytope |Polytope]]<​Addition,​Scalar>​ P, [[.:​common#​TropicalNumber |TropicalNumber]]<​Addition,​Scalar>​ mu, [[.:​tropical:​Polytope |Polytope]]<​Addition,​Scalar>​ Q)''​**|[[.:​tropical|tropical]]|Functions|Producing a tropical polytope|
 +|**''​[[.:​polytope#​minkowski_sum_fukuda |minkowski_sum_fukuda]]([[.:​common#​Array |Array]]<​[[.:​polytope:​Polytope |Polytope]]>​ summands)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​common#​Matrix |minor]]([[.:​common#​Set |Set]] r, [[.:​common#​Set |Set]] c)''​**|[[.:​common|common]]|method of Matrix|no category|
 +|**''​[[.:​common#​IncidenceMatrix |minor]]([[.:​common#​Set |Set]] r, [[.:​common#​Set |Set]] c)''​**|[[.:​common|common]]|method of IncidenceMatrix|no category|
 +|**''​[[.:​common#​Float |minus_inf]]''​**|[[.:​common|common]]|method of Float|no category|
 +|**''​[[.:​common#​Rational |minus_inf]]''​**|[[.:​common|common]]|method of Rational|no category|
 +|**''​[[.:​common#​Integer |minus_inf]]''​**|[[.:​common|common]]|method of Integer|no category|
 +|**''​[[.:​topaz:​SimplicialComplex#​MIXED_GRAPH |MIXED_GRAPH]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Visualization|
 +|**''​[[.:​topaz#​mixed_graph |mixed_graph]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex)''​**|[[.:​topaz|topaz]]|Functions|Other|
 +|**''​[[.:​polytope#​mixed_integer_hull |mixed_integer_hull]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]> int_coords)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​fan#​mixed_subdivision |mixed_subdivision]]([[.:​polytope:​Polytope |Polytope]] P_0, [[.:​polytope:​Polytope |Polytope]] P_1, [[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]> VIF, Scalar t_0, Scalar t_1)''​**|[[.:​fan|fan]]|Functions|Producing a polyhedral complex|
 +|**''​[[.:​fan#​mixed_subdivision |mixed_subdivision]]([[.:​common#​Int |Int]] m, [[.:​polytope:​Polytope |Polytope]] C, [[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]> a)''​**|[[.:​fan|fan]]|Functions|Producing a polyhedral complex|
 +|**''​[[.:​fan#​mixed_subdivision |mixed_subdivision]]([[.:​common#​Array |Array]]<​[[.:​polytope:​Polytope |Polytope]]>​ A, [[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]> VIF)''​**|[[.:​fan|fan]]|Functions|Producing a polyhedral complex|
 +|**''​[[.:​polytope#​mixed_volume |mixed_volume]]([[.:​polytope:​Polytope |Polytope]]<​Scalar>​ P1, [[.:​polytope:​Polytope |Polytope]]<​Scalar>​ P2, [[.:​polytope:​Polytope |Polytope]]<​Scalar>​ Pn)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope:​MixedIntegerLinearProgram#​MixedIntegerLinearProgram |MixedIntegerLinearProgram]]<​Scalar>''​**|[[.:​polytope|polytope]]|Objects|Optimization|
 +|**''​[[.:​fulton:​NormalToricVariety#​MODULE_GENERATORS |MODULE_GENERATORS]]''​**|[[.:​fulton|fulton]]|property of NormalToricVariety|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​MOEBIUS_STRIP_EDGES |MOEBIUS_STRIP_EDGES]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​MOEBIUS_STRIP_QUADS |MOEBIUS_STRIP_QUADS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​MONOID_GRADING |MONOID_GRADING]]''​**|[[.:​polytope|polytope]]|property of Cone|Lattice points in cones|
 +|**''​[[.:​common#​UniPolynomial |monomial]]''​**|[[.:​common|common]]|method of UniPolynomial|no category|
 +|**''​[[.:​common#​Polynomial |monomial]]([[.:​common#​Int |Int]] var_index, [[.:​common#​Int |Int]] n_vars)''​**|[[.:​common|common]]|method of Polynomial|no category|
 +|**''​[[.:​ideal:​Ideal#​MONOMIAL |MONOMIAL]]''​**|[[.:​ideal|ideal]]|property of Ideal|Commutative algebra|
 +|**''​[[.:​tropical#​monomial_cone_lattice |monomial_cone_lattice]]([[.:​common#​Matrix |Matrix]] M)''​**|[[.:​tropical|tropical]]|Functions|Tropical operations|
 +|**''​[[.:​tropical#​monomial_dual_description |monomial_dual_description]]([[.:​common#​Matrix |Matrix]] monomial_generators)''​**|[[.:​tropical|tropical]]|Functions|Tropical operations|
 +|**''​[[.:​common#​monomials |monomials]]<​Coefficient,​ Exponent>​([[.:​common#​Int |Int]] n)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​tropical:​Hypersurface#​MONOMIALS |MONOMIALS]]''​**|[[.:​tropical|tropical]]|property of Hypersurface|no category|
 +|**''​[[.:​common#​Polynomial |monomials_as_matrix]]()''​**|[[.:​common|common]]|method of Polynomial|no category|
 +|**''​[[.:​common#​UniPolynomial |monomials_as_vector]]()''​**|[[.:​common|common]]|method of UniPolynomial|no category|
 +|**''​[[.:​common#​moore_penrose_inverse |moore_penrose_inverse]]([[.:​common#​Matrix |Matrix]] M)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​fulton:​NormalToricVariety#​MORI_CONE |MORI_CONE]]''​**|[[.:​fulton|fulton]]|property of NormalToricVariety|Algebraic Geometry|
 +|**''​[[.:​tropical:​Morphism#​Morphism |Morphism]]<​Addition>''​**|[[.:​tropical|tropical]]|Objects|no category|
 +|**''​[[.:​tropical#​morphism_from_affine |morphism_from_affine]]<​Addition>​([[.:​common#​Matrix |Matrix]]<​[[.:​common#​Rational |Rational]]>​ A, [[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ v, [[.:​common#​Int |Int]] domain_chart,​ [[.:​common#​Int |Int]] target_chart)''​**|[[.:​tropical|tropical]]|Functions|Affine and projective coordinates|
 +|**''​[[.:​topaz:​Visual_SimplicialComplexLattice#​MORSE_MATCHING |MORSE_MATCHING]]()''​**|[[.:​topaz|topaz]]|method of Visual::​SimplicialComplexLattice|no category|
 +|**''​[[.:​topaz:​SimplicialComplex#​MORSE_MATCHING |MORSE_MATCHING]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Topology|
 +|**''​[[.:​topaz:​Visual_SimplicialComplex#​MORSE_MATCHING |MORSE_MATCHING]]()''​**|[[.:​topaz|topaz]]|method of Visual::​SimplicialComplex|no category|
 +|**''​[[.:​topaz:​MorseMatching#​MorseMatching |MorseMatching]]''​**|[[.:​topaz|topaz]]|Objects|Topology|
 +|**''​[[.:​topaz#​multi_associahedron_sphere |multi_associahedron_sphere]]([[.:​common#​Int |Int]] n, [[.:​common#​Int |Int]] k)''​**|[[.:​topaz|topaz]]|Functions|Producing from scratch|
 +|**''​[[.:​polytope:​PointConfiguration#​MULTIPLE_POINTS |MULTIPLE_POINTS]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Geometry|
 +|**''​[[.:​polytope:​VectorConfiguration#​MULTIPLE_VECTORS |MULTIPLE_VECTORS]]''​**|[[.:​polytope|polytope]]|property of VectorConfiguration|Geometry|
 +|**''​[[.:​polytope#​multiplex |multiplex]]([[.:​common#​Int |Int]] d, [[.:​common#​Int |Int]] n)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​fulton:​CyclicQuotient#​N |N]]''​**|[[.:​fulton|fulton]]|property of CyclicQuotient|Input properties|
 +|**''​[[.:​matroid#​n1_matroid |n1_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​matroid#​n2_matroid |n2_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​polytope:​Polytope#​N_01POINTS |N_01POINTS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​matroid:​Matroid#​N_AUTOMORPHISMS |N_AUTOMORPHISMS]]''​**|[[.:​matroid|matroid]]|property of Matroid|Enumerative properties|
 +|**''​[[.:​graph#​n_automorphisms |n_automorphisms]]([[.:​common#​GraphAdjacency |GraphAdjacency]] graph)''​**|[[.:​graph|graph]]|Functions|Comparing|
 +|**''​[[.:​matroid:​Matroid#​N_BASES |N_BASES]]''​**|[[.:​matroid|matroid]]|property of Matroid|Enumerative properties|
 +|**''​[[.:​polytope:​Polytope#​N_BOUNDARY_LATTICE_POINTS |N_BOUNDARY_LATTICE_POINTS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in polytopes|
 +|**''​[[.:​polytope:​Polytope#​N_BOUNDED_VERTICES |N_BOUNDED_VERTICES]]''​**|[[.:​polytope|polytope]]|property of Polytope|Unbounded polyhedra|
 +|**''​[[.:​topaz#​Filtration |n_cells]]()''​**|[[.:​topaz|topaz]]|method of Filtration|no category|
 +|**''​[[.:​matroid:​Matroid#​N_CIRCUITS |N_CIRCUITS]]''​**|[[.:​matroid|matroid]]|property of Matroid|Enumerative properties|
 +|**''​[[.:​matroid:​Matroid#​N_COCIRCUITS |N_COCIRCUITS]]''​**|[[.:​matroid|matroid]]|method of Matroid|Enumerative properties|
 +|**''​[[.:​matroid:​Matroid#​N_COLOOPS |N_COLOOPS]]''​**|[[.:​matroid|matroid]]|method of Matroid|Enumerative properties|
 +|**''​[[.:​fan:​PolyhedralFan#​N_CONES |N_CONES]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Combinatorics|
 +|**''​[[.:​matroid:​Matroid#​N_CONNECTED_COMPONENTS |N_CONNECTED_COMPONENTS]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​topaz:​SimplicialComplex#​N_CONNECTED_COMPONENTS |N_CONNECTED_COMPONENTS]]()''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|Topology|
 +|**''​[[.:​graph:​Graph#​N_CONNECTED_COMPONENTS |N_CONNECTED_COMPONENTS]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​topaz:​MorseMatching#​N_CRITICAL_FACES |N_CRITICAL_FACES]]''​**|[[.:​topaz|topaz]]|property of MorseMatching|no category|
 +|**''​[[.:​matroid:​Matroid#​N_CYCLIC_FLATS |N_CYCLIC_FLATS]]''​**|[[.:​matroid|matroid]]|property of Matroid|Enumerative properties|
 +|**''​[[.:​polytope:​Cone#​N_EDGES |N_EDGES]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​graph:​Graph#​N_EDGES |N_EDGES]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​matroid:​Matroid#​N_ELEMENTS |N_ELEMENTS]]''​**|[[.:​matroid|matroid]]|property of Matroid|Enumerative properties|
 +|**''​[[.:​tropical:​MatroidRingCycle#​N_ELEMENTS |N_ELEMENTS]]''​**|[[.:​tropical|tropical]]|property of MatroidRingCycle|Matroid data|
 +|**''​[[.:​polytope:​Cone#​N_EQUATIONS |N_EQUATIONS]]''​**|[[.:​polytope|polytope]]|property of Cone|Geometry|
 +|**''​[[.:​group:​Action#​N_EQUATIONS_GENERATORS |N_EQUATIONS_GENERATORS]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​N_FACET_NORMALS |N_FACET_NORMALS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Geometry|
 +|**''​[[.:​topaz:​SimplicialComplex#​N_FACETS |N_FACETS]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​N_FACETS |N_FACETS]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​group:​Action#​N_FACETS_GENERATORS |N_FACETS_GENERATORS]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​tropical:​LinesInCubic#​N_FAMILIES |N_FAMILIES]]''​**|[[.:​tropical|tropical]]|property of LinesInCubic|Counts of lines|
 +|**''​[[.:​polytope#​n_fine_triangulations |n_fine_triangulations]]([[.:​common#​Matrix |Matrix]] M, [[.:​common#​Bool |Bool]] optimization)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​common#​n_fixed_points |n_fixed_points]]([[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]> p)''​**|[[.:​common|common]]|Functions|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​N_FLAGS |N_FLAGS]]([[.:​common#​Int |Int]] type ...)''​**|[[.:​polytope|polytope]]|method of Cone|Combinatorics|
 +|**''​[[.:​matroid:​Matroid#​N_FLATS |N_FLATS]]''​**|[[.:​matroid|matroid]]|property of Matroid|Enumerative properties|
 +|**''​[[.:​topaz#​Filtration |n_frames]]()''​**|[[.:​topaz|topaz]]|method of Filtration|no category|
 +|**''​[[.:​polytope#​n_gon |n_gon]]([[.:​common#​Int |Int]] n, [[.:​common#​Rational |Rational]] r, [[.:​common#​Rational |Rational]] alpha_0)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​fulton:​VersalComponent#​N_GON_TRIANGULATION |N_GON_TRIANGULATION]]''​**|[[.:​fulton|fulton]]|property of VersalComponent|Combinatorics|
 +|**''​[[.:​graph#​n_graph_homomorphisms |n_graph_homomorphisms]]([[.:​graph:​Graph |Graph]] G, [[.:​graph:​Graph |Graph]] H)''​**|[[.:​graph|graph]]|Functions|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​N_HILBERT_BASIS |N_HILBERT_BASIS]]''​**|[[.:​polytope|polytope]]|property of Cone|Lattice points in cones|
 +|**''​[[.:​fan:​HyperplaneArrangement#​N_HYPERPLANES |N_HYPERPLANES]]''​**|[[.:​fan|fan]]|property of HyperplaneArrangement|Combinatorics|
 +|**''​[[.:​group:​Action#​N_INEQUALITIES_GENERATORS |N_INEQUALITIES_GENERATORS]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​polytope:​Cone#​N_INPUT_LINEALITY |N_INPUT_LINEALITY]]''​**|[[.:​polytope|polytope]]|property of Cone|Geometry|
 +|**''​[[.:​group:​Action#​N_INPUT_LINEALITY_GENERATORS |N_INPUT_LINEALITY_GENERATORS]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​polytope:​Cone#​N_INPUT_RAYS |N_INPUT_RAYS]]''​**|[[.:​polytope|polytope]]|property of Cone|Geometry|
 +|**''​[[.:​fan:​PolyhedralFan#​N_INPUT_RAYS |N_INPUT_RAYS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Geometry|
 +|**''​[[.:​group:​Action#​N_INPUT_RAYS_GENERATORS |N_INPUT_RAYS_GENERATORS]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​polytope:​Polytope#​N_INTERIOR_LATTICE_POINTS |N_INTERIOR_LATTICE_POINTS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in polytopes|
 +|**''​[[.:​tropical:​LinesInCubic#​N_ISOLATED |N_ISOLATED]]''​**|[[.:​tropical|tropical]]|property of LinesInCubic|Counts of lines|
 +|**''​[[.:​polytope:​Polytope#​N_LATTICE_POINTS |N_LATTICE_POINTS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in polytopes|
 +|**''​[[.:​polytope:​Polytope#​N_LATTICE_POINTS_IN_DILATION |N_LATTICE_POINTS_IN_DILATION]]([[.:​common#​Int |Int]] n)''​**|[[.:​polytope|polytope]]|method of Polytope|Lattice points in cones|
 +|**''​[[.:​tropical:​RationalCurve#​N_LEAVES |N_LEAVES]]''​**|[[.:​tropical|tropical]]|property of RationalCurve|Combinatorics|
 +|**''​[[.:​group:​Action#​N_LINEALITY_SPACE_GENERATORS |N_LINEALITY_SPACE_GENERATORS]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​matroid:​Matroid#​N_LOOPS |N_LOOPS]]''​**|[[.:​matroid|matroid]]|property of Matroid|Enumerative properties|
 +|**''​[[.:​matroid:​Matroid#​N_MATROID_HYPERPLANES |N_MATROID_HYPERPLANES]]''​**|[[.:​matroid|matroid]]|property of Matroid|Enumerative properties|
 +|**''​[[.:​polytope:​PointConfiguration#​N_MAX_BOUNDARY_SIMPLICES |N_MAX_BOUNDARY_SIMPLICES]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Combinatorics|
 +|**''​[[.:​polytope:​PointConfiguration#​N_MAX_INTERIOR_SIMPLICES |N_MAX_INTERIOR_SIMPLICES]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Combinatorics|
 +|**''​[[.:​fan:​SubdivisionOfVectors#​N_MAXIMAL_CELLS |N_MAXIMAL_CELLS]]''​**|[[.:​fan|fan]]|property of SubdivisionOfVectors|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralFan#​N_MAXIMAL_CONE_ORBITS |N_MAXIMAL_CONE_ORBITS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​N_MAXIMAL_CONES |N_MAXIMAL_CONES]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Combinatorics|
 +|**''​[[.:​group:​Action#​N_MAXIMAL_CONES_GENERATORS |N_MAXIMAL_CONES_GENERATORS]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​N_MAXIMAL_POLYTOPES |N_MAXIMAL_POLYTOPES]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralComplex#​N_MAXIMAL_POLYTOPES_ORBITS |N_MAXIMAL_POLYTOPES_ORBITS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​fulton:​NormalToricVariety#​N_MAXIMAL_TORUS_ORBITS |N_MAXIMAL_TORUS_ORBITS]]''​**|[[.:​fulton|fulton]]|property of NormalToricVariety|Basic properties|
 +|**''​[[.:​topaz:​SimplicialComplex#​N_MINIMAL_NON_FACES |N_MINIMAL_NON_FACES]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Combinatorics|
 +|**''​[[.:​tropical:​MatroidRingCycle#​N_NESTED_SUMMANDS |N_NESTED_SUMMANDS]]''​**|[[.:​tropical|tropical]]|property of MatroidRingCycle|Matroid data|
 +|**''​[[.:​graph:​Graph#​N_NODES |N_NODES]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​group:​Action#​N_ORBIT_REPRESENTATIVES |N_ORBIT_REPRESENTATIVES]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​group:​Action#​N_ORBITS |N_ORBITS]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​polytope:​Polytope#​N_POINTS |N_POINTS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​PointConfiguration#​N_POINTS |N_POINTS]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Geometry|
 +|**''​[[.:​fan:​PolyhedralComplex#​N_POINTS |N_POINTS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Geometry|
 +|**''​[[.:​fan:​SubdivisionOfPoints#​N_POINTS |N_POINTS]]''​**|[[.:​fan|fan]]|property of SubdivisionOfPoints|Geometry|
 +|**''​[[.:​polytope:​Polytope#​N_POINTS_GENERATORS |N_POINTS_GENERATORS]]''​**|[[.:​polytope|polytope]]|property of Polytope|no category|
 +|**''​[[.:​fan:​PolyhedralComplex#​N_POINTS_GENERATORS |N_POINTS_GENERATORS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​N_POINTS_GENERATORS |N_POINTS_GENERATORS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​N_POLYTOPES |N_POLYTOPES]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Combinatorics|
 +|**''​[[.:​graph#​n_poset_homomorphisms |n_poset_homomorphisms]]([[.:​graph:​Graph |Graph]]<​[[.:​common#​Directed |Directed]]>​ P, [[.:​graph:​Graph |Graph]]<​[[.:​common#​Directed |Directed]]>​ Q)''​**|[[.:​graph|graph]]|Functions|Posets|
 +|**''​[[.:​polytope:​Cone#​N_RAY_FACET_INC |N_RAY_FACET_INC]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralFan#​N_RAY_ORBITS |N_RAY_ORBITS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​polytope:​Cone#​N_RAYS |N_RAYS]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralFan#​N_RAYS |N_RAYS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Geometry|
 +|**''​[[.:​group:​Action#​N_RAYS_GENERATORS |N_RAYS_GENERATORS]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​polytope:​Polytope#​N_REPRESENTATIVE_CERTIFIERS |N_REPRESENTATIVE_CERTIFIERS]]''​**|[[.:​polytope|polytope]]|property of Polytope|no category|
 +|**''​[[.:​polytope:​Polytope#​N_REPRESENTATIVE_CORE_POINTS |N_REPRESENTATIVE_CORE_POINTS]]''​**|[[.:​polytope|polytope]]|property of Polytope|no category|
 +|**''​[[.:​polytope:​Cone#​N_RIDGES |N_RIDGES]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​polytope:​QuotientSpace#​N_SIMPLICES |N_SIMPLICES]]''​**|[[.:​polytope|polytope]]|property of QuotientSpace|Combinatorics|
 +|**''​[[.:​polytope:​VoronoiPolyhedron#​N_SITES |N_SITES]]''​**|[[.:​polytope|polytope]]|property of VoronoiPolyhedron|no category|
 +|**''​[[.:​tropical:​VoronoiDiagram#​N_SITES |N_SITES]]''​**|[[.:​tropical|tropical]]|property of VoronoiDiagram|no category|
 +|**''​[[.:​group:​PermutationAction#​N_STRONG_GENERATORS |N_STRONG_GENERATORS]]''​**|[[.:​group|group]]|property of PermutationAction|no category|
 +|**''​[[.:​fan:​PolyhedralFan#​N_SYMMETRIES |N_SYMMETRIES]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​topaz:​GeometricSimplicialComplex#​N_UNIMODULAR |N_UNIMODULAR]]''​**|[[.:​topaz|topaz]]|property of GeometricSimplicialComplex|no category|
 +|**''​[[.:​ideal:​Ideal#​N_VARIABLES |N_VARIABLES]]''​**|[[.:​ideal|ideal]]|property of Ideal|Commutative algebra|
 +|**''​[[.:​common#​UniPolynomial |n_vars]]''​**|[[.:​common|common]]|method of UniPolynomial|no category|
 +|**''​[[.:​common#​Polynomial |n_vars]]()''​**|[[.:​common|common]]|method of Polynomial|no category|
 +|**''​[[.:​polytope:​VectorConfiguration#​N_VECTORS |N_VECTORS]]''​**|[[.:​polytope|polytope]]|property of VectorConfiguration|Geometry|
 +|**''​[[.:​fan:​SubdivisionOfVectors#​N_VECTORS |N_VECTORS]]''​**|[[.:​fan|fan]]|property of SubdivisionOfVectors|Geometry|
 +|**''​[[.:​polytope:​Polytope#​N_VERTEX_FACET_INC |N_VERTEX_FACET_INC]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​topaz:​SimplicialComplex#​N_VERTICES |N_VERTICES]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Combinatorics|
 +|**''​[[.:​common#​FacetList |n_vertices]]()''​**|[[.:​common|common]]|method of FacetList|no category|
 +|**''​[[.:​polytope:​Polytope#​N_VERTICES |N_VERTICES]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralComplex#​N_VERTICES |N_VERTICES]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Geometry|
 +|**''​[[.:​polytope:​Polytope#​N_VERTICES_GENERATORS |N_VERTICES_GENERATORS]]''​**|[[.:​polytope|polytope]]|property of Polytope|no category|
 +|**''​[[.:​fan:​PolyhedralComplex#​N_VERTICES_GENERATORS |N_VERTICES_GENERATORS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​N_VERTICES_GENERATORS |N_VERTICES_GENERATORS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​N_VERTICES_ORBITS |N_VERTICES_ORBITS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​core:​Core_BigObject#​name |name]]''​**|[[.:​core|core]]|method of Core::​BigObject|no category|
 +|**''​[[.:​tropical#​nearest_point |nearest_point]]([[.:​tropical:​Polytope |Polytope]]<​Addition,​Scalar>​ C, [[.:​common#​Vector |Vector]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition,​Scalar%%>>​%% x)''​**|[[.:​tropical|tropical]]|Functions|Tropical operations|
 +|**''​[[.:​fulton:​TDivisor#​NEF |NEF]]''​**|[[.:​fulton|fulton]]|property of TDivisor|Algebraic Geometry|
 +|**''​[[.:​fulton:​NormalToricVariety#​NEF_CONE |NEF_CONE]]''​**|[[.:​fulton|fulton]]|property of NormalToricVariety|Algebraic Geometry|
 +|**''​[[.:​polytope:​Cone#​NEIGHBOR_FACETS_CYCLIC_NORMAL |NEIGHBOR_FACETS_CYCLIC_NORMAL]]''​**|[[.:​polytope|polytope]]|property of Cone|Visualization|
 +|**''​[[.:​polytope:​Cone#​NEIGHBOR_RAYS_CYCLIC_NORMAL |NEIGHBOR_RAYS_CYCLIC_NORMAL]]''​**|[[.:​polytope|polytope]]|property of Cone|Visualization|
 +|**''​[[.:​polytope:​Polytope#​NEIGHBOR_VERTICES_CYCLIC_NORMAL |NEIGHBOR_VERTICES_CYCLIC_NORMAL]]''​**|[[.:​polytope|polytope]]|property of Polytope|Visualization|
 +|**''​[[.:​graph#​neighborhood_graph |neighborhood_graph]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​Rational |Rational]]>​ D, [[.:​common#​Rational |Rational]] delta)''​**|[[.:​graph|graph]]|Functions|Producing a graph|
 +|**''​[[.:​polytope:​Polytope#​NEIGHBORLINESS |NEIGHBORLINESS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​NEIGHBORLY |NEIGHBORLY]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope#​neighborly_cubical |neighborly_cubical]]([[.:​common#​Int |Int]] d, [[.:​common#​Int |Int]] n)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​matroid:​Matroid#​NESTED |NESTED]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​tropical:​MatroidRingCycle#​NESTED_COEFFICIENTS |NESTED_COEFFICIENTS]]''​**|[[.:​tropical|tropical]]|property of MatroidRingCycle|Matroid data|
 +|**''​[[.:​tropical:​MatroidRingCycle#​nested_matroids |nested_matroids]]''​**|[[.:​tropical|tropical]]|method of MatroidRingCycle|Matroid data|
 +|**''​[[.:​tropical:​MatroidRingCycle#​NESTED_PRESENTATIONS |NESTED_PRESENTATIONS]]''​**|[[.:​tropical|tropical]]|property of MatroidRingCycle|Matroid data|
 +|**''​[[.:​polytope#​nestedOPGraph |nestedOPGraph]]([[.:​common#​Vector |Vector]] gen_point, [[.:​common#​Matrix |Matrix]] points, [[.:​common#​Matrix |Matrix]] lattice_points,​ [[.:​group:​Group |Group]] group, [[.:​common#​Bool |Bool]] verbose)''​**|[[.:​polytope|polytope]]|Functions|Symmetry|
 +|**''​[[.:​polytope#​newton |newton]]([[.:​common#​Polynomial |Polynomial]] p)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​polytope:​VoronoiPolyhedron#​NN_CRUST_GRAPH |NN_CRUST_GRAPH]]''​**|[[.:​polytope|polytope]]|property of VoronoiPolyhedron|no category|
 +|**''​[[.:​polytope:​VoronoiPolyhedron#​NN_GRAPH |NN_GRAPH]]''​**|[[.:​polytope|polytope]]|property of VoronoiPolyhedron|no category|
 +|**''​[[.:​tropical:​RationalCurve#​NODE_DEGREES |NODE_DEGREES]]''​**|[[.:​tropical|tropical]]|property of RationalCurve|Combinatorics|
 +|**''​[[.:​graph:​Graph#​NODE_DEGREES |NODE_DEGREES]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​common#​node_edge_incidences |node_edge_incidences]]<​Coord>​([[.:​common#​GraphAdjacency |GraphAdjacency]] graph)''​**|[[.:​common|common]]|Functions|Graph Operations|
 +|**''​[[.:​common#​GraphAdjacency |node_exists]]([[.:​common#​Int |Int]] node)''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​graph:​Graph#​NODE_IN_DEGREES |NODE_IN_DEGREES]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​graph:​Graph#​NODE_LABELS |NODE_LABELS]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​graph:​Graph#​NODE_OUT_DEGREES |NODE_OUT_DEGREES]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​common#​GraphAdjacency |node_out_of_range]]([[.:​common#​Int |Int]] node)''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​common#​NodeHashMap |NodeHashMap]]<​Dir,​ Element>''​**|[[.:​common|common]]|Property_types|Graph Types|
 +|**''​[[.:​common#​NodeMap |NodeMap]]<​Dir,​ Element>''​**|[[.:​common|common]]|Property_types|Graph Types|
 +|**''​[[.:​common#​GraphAdjacency |nodes]]()''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​common#​nodes |nodes]]([[.:​common#​GraphAdjacency |GraphAdjacency]] graph)''​**|[[.:​common|common]]|Functions|Graph Operations|
 +|**''​[[.:​tropical:​RationalCurve#​NODES_BY_LEAVES |NODES_BY_LEAVES]]''​**|[[.:​tropical|tropical]]|property of RationalCurve|Combinatorics|
 +|**''​[[.:​tropical:​RationalCurve#​NODES_BY_SETS |NODES_BY_SETS]]''​**|[[.:​tropical|tropical]]|property of RationalCurve|Combinatorics|
 +|**''​[[.:​topaz:​SimplicialComplex#​nodes_of_dim |nodes_of_dim]]''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|no category|
 +|**''​[[.:​polytope:​Cone#​nodes_of_dim |nodes_of_dim]]([[.:​common#​Int |Int]] d)''​**|[[.:​polytope|polytope]]|method of Cone|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralFan#​nodes_of_dim |nodes_of_dim]]([[.:​common#​Int |Int]] d)''​**|[[.:​fan|fan]]|method of PolyhedralFan|Combinatorics|
 +|**''​[[.:​tropical:​CovectorLattice#​nodes_of_dim |nodes_of_dim]]''​**|[[.:​tropical|tropical]]|method of CovectorLattice|Combinatorics|
 +|**''​[[.:​topaz:​SimplicialComplex#​nodes_of_dim_range |nodes_of_dim_range]]''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|no category|
 +|**''​[[.:​polytope:​Cone#​nodes_of_dim_range |nodes_of_dim_range]]([[.:​common#​Int |Int]] d1, [[.:​common#​Int |Int]] d2)''​**|[[.:​polytope|polytope]]|method of Cone|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralFan#​nodes_of_dim_range |nodes_of_dim_range]]([[.:​common#​Int |Int]] d1, [[.:​common#​Int |Int]] d1)''​**|[[.:​fan|fan]]|method of PolyhedralFan|Combinatorics|
 +|**''​[[.:​tropical:​CovectorLattice#​nodes_of_dim_range |nodes_of_dim_range]]''​**|[[.:​tropical|tropical]]|method of CovectorLattice|Combinatorics|
 +|**''​[[.:​graph:​Lattice#​nodes_of_rank |nodes_of_rank]]([[.:​common#​Int |Int]] r)''​**|[[.:​graph|graph]]|method of Lattice|Combinatorics|
 +|**''​[[.:​graph#​InverseRankMap |nodes_of_rank]]([[.:​common#​Int |Int]] r)''​**|[[.:​graph|graph]]|method of InverseRankMap|Combinatorics|
 +|**''​[[.:​graph:​Lattice#​nodes_of_rank_range |nodes_of_rank_range]]([[.:​common#​Int |Int]] r1, [[.:​common#​Int |Int]] r2)''​**|[[.:​graph|graph]]|method of Lattice|Combinatorics|
 +|**''​[[.:​graph#​InverseRankMap |nodes_of_rank_range]]([[.:​common#​Int |Int]] r1, [[.:​common#​Int |Int]] r2)''​**|[[.:​graph|graph]]|method of InverseRankMap|Combinatorics|
 +|**''​[[.:​matroid:​Matroid#​NON_BASES |NON_BASES]]''​**|[[.:​matroid|matroid]]|property of Matroid|Axiom systems|
 +|**''​[[.:​matroid#​non_fano_matroid |non_fano_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​matroid#​non_p8_matroid |non_p8_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​matroid#​non_pappus_matroid |non_pappus_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​polytope:​SlackIdeal#​NON_SATURATED |NON_SATURATED]]''​**|[[.:​polytope|polytope]]|property of SlackIdeal|no category|
 +|**''​[[.:​matroid#​non_vamos_matroid |non_vamos_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​polytope:​PointConfiguration#​NON_VERTICES |NON_VERTICES]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Geometry|
 +|**''​[[.:​graph#​Nonsequential |Nonsequential]]''​**|[[.:​graph|graph]]|Property_types|Artificial|
 +|**''​[[.:​common#​NonSymmetric |NonSymmetric]]''​**|[[.:​common|common]]|Property_types|Artificial|
 +|**''​[[.:​polytope:​Polytope#​NOP_GRAPH |NOP_GRAPH]]''​**|[[.:​polytope|polytope]]|property of Polytope|no category|
 +|**''​[[.:​tropical#​norm |norm]]([[.:​common#​Vector |Vector]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition,​Scalar%%>>​%% v)''​**|[[.:​tropical|tropical]]|Functions|Tropical operations|
 +|**''​[[.:​polytope:​Polytope#​NORMAL |NORMAL]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​polytope#​normal_cone |normal_cone]]([[.:​polytope:​PointConfiguration |PointConfiguration]] p, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> F)''​**|[[.:​polytope|polytope]]|Functions|Producing a cone|
 +|**''​[[.:​polytope#​normal_cone |normal_cone]]([[.:​polytope:​Cone |Cone]] p, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> F)''​**|[[.:​polytope|polytope]]|Functions|Producing a cone|
 +|**''​[[.:​fan#​normal_fan |normal_fan]]<​Coord>​([[.:​polytope:​Polytope |Polytope]] p)''​**|[[.:​fan|fan]]|Functions|Producing a fan|
 +|**''​[[.:​polytope#​normaliz_compute |normaliz_compute]]([[.:​polytope:​Cone |Cone]] C)''​**|[[.:​polytope|polytope]]|Functions|Geometry|
 +|**''​[[.:​common#​normalized |normalized]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​Float |Float]]>​ A)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​fulton:​NormalToricVariety#​NormalToricVariety |NormalToricVariety]]''​**|[[.:​fulton|fulton]]|Objects|no category|
 +|**''​[[.:​common#​null_space |null_space]]([[.:​common#​Matrix |Matrix]] A)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​common#​null_space |null_space]]([[.:​common#​Vector |Vector]] b)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​common#​null_space_integer |null_space_integer]]([[.:​common#​Matrix |Matrix]] A)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​common#​numbered |numbered]]([[.:​common#​Vector |Vector]] data)''​**|[[.:​common|common]]|Functions|Formatting|
 +|**''​[[.:​common#​numerator |numerator]]([[.:​common#​Rational |Rational]] a)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​common#​numerator |numerator]]([[.:​common#​RationalFunction |RationalFunction]] f)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​common#​numerator |numerator]]([[.:​common#​PuiseuxFraction |PuiseuxFraction]] f)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​tropical:​TropicalRationalFunction#​NUMERATOR |NUMERATOR]]''​**|[[.:​tropical|tropical]]|property of TropicalRationalFunction|Defining morphisms and functions|
 +|**''​[[.:​matroid#​o7_matroid |o7_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​core#​obliterate_extension |obliterate_extension]]([[.:​common#​String |String]] extension)''​**|[[.:​core|core]]|Functions|Interactive|
 +|**''​[[.:​polytope#​occluding_cone |occluding_cone]]([[.:​polytope:​Cone |Cone]] P, [[.:​common#​Set |Set]] F)''​**|[[.:​polytope|polytope]]|Functions|Geometry|
 +|**''​[[.:​polytope#​octahedron |octahedron]]()''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​topaz:​SimplicialComplex#​ODD_SUBCOMPLEX |ODD_SUBCOMPLEX]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Combinatorics|
 +|**''​[[.:​group#​on_cols |on_cols]]''​**|[[.:​group|group]]|Property_types|no category|
 +|**''​[[.:​group#​on_container |on_container]]''​**|[[.:​group|group]]|Property_types|no category|
 +|**''​[[.:​group#​on_elements |on_elements]]''​**|[[.:​group|group]]|Property_types|no category|
 +|**''​[[.:​group#​on_nonhomog_cols |on_nonhomog_cols]]''​**|[[.:​group|group]]|Property_types|no category|
 +|**''​[[.:​group#​on_nonhomog_container |on_nonhomog_container]]''​**|[[.:​group|group]]|Property_types|no category|
 +|**''​[[.:​group#​on_rows |on_rows]]''​**|[[.:​group|group]]|Property_types|no category|
 +|**''​[[.:​polytope:​Cone#​ONE_RAY |ONE_RAY]]''​**|[[.:​polytope|polytope]]|property of Cone|Geometry|
 +|**''​[[.:​polytope:​Polytope#​ONE_VERTEX |ONE_VERTEX]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​common#​ones_matrix |ones_matrix]]<​Element>​([[.:​common#​Int |Int]] m, [[.:​common#​Int |Int]] n)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​common#​ones_vector |ones_vector]]<​Element>​([[.:​common#​Int |Int]] d)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​tropical#​optimal_permutations |optimal_permutations]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]>​ matrix)''​**|[[.:​tropical|tropical]]|Functions|Tropical operations|
 +|**''​[[.:​fulton:​NormalToricVariety#​ORBIFOLD |ORBIFOLD]]''​**|[[.:​fulton|fulton]]|property of NormalToricVariety|Basic properties|
 +|**''​[[.:​group#​orbit |orbit]]<​action_type>​([[.:​common#​Array |Array]] G, [[.:​core:​Core_BigObject |Core::​BigObject]] O)''​**|[[.:​group|group]]|Functions|Orbits|
 +|**''​[[.:​group#​orbit |orbit]]([[.:​group:​Group |Group]] G, Any C)''​**|[[.:​group|group]]|Functions|Orbits|
 +|**''​[[.:​group#​orbit |orbit]]<​Scalar>​([[.:​common#​Array |Array]]<​[[.:​common#​Matrix |Matrix]]<​Scalar%%>>​%% G, [[.:​common#​Vector |Vector]]<​Scalar>​ V)''​**|[[.:​group|group]]|Functions|Orbits|
 +|**''​[[.:​fan#​orbit_complex |orbit_complex]]([[.:​fan:​PolyhedralComplex |PolyhedralComplex]] input_complex,​ [[.:​common#​Array |Array]]<​[[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]%%>>​%% gens)''​**|[[.:​fan|fan]]|Functions|Symmetry|
 +|**''​[[.:​fan#​orbit_complex |orbit_complex]]([[.:​fan:​PolyhedralFan |PolyhedralFan]] input_fan, [[.:​group:​PermutationAction |PermutationAction]] a)''​**|[[.:​fan|fan]]|Functions|Symmetry|
 +|**''​[[.:​fan#​orbit_fan |orbit_fan]]([[.:​fan:​PolyhedralFan |PolyhedralFan]] input_fan, [[.:​common#​Array |Array]]<​[[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]%%>>​%% gens)''​**|[[.:​fan|fan]]|Functions|Symmetry|
 +|**''​[[.:​fan#​orbit_fan |orbit_fan]]<​Scalar>​([[.:​fan:​PolyhedralFan |PolyhedralFan]] input_fan, [[.:​common#​Array |Array]]<​[[.:​common#​Matrix |Matrix]]<​Scalar%%>>​%% gens)''​**|[[.:​fan|fan]]|Functions|Symmetry|
 +|**''​[[.:​group#​orbit_permlib |orbit_permlib]]([[.:​group:​Group |Group]] G, [[.:​common#​Set |Set]] S)''​**|[[.:​group|group]]|Functions|Orbits|
 +|**''​[[.:​group#​orbit_permlib |orbit_permlib]]([[.:​group:​Group |Group]] G, [[.:​common#​Set |Set]]<​[[.:​common#​Set |Set]]> S)''​**|[[.:​group|group]]|Functions|Orbits|
 +|**''​[[.:​polytope#​orbit_polytope |orbit_polytope]]([[.:​common#​Vector |Vector]] input_point,​ [[.:​group:​PermutationAction |PermutationAction]] a)''​**|[[.:​polytope|polytope]]|Functions|Symmetry|
 +|**''​[[.:​polytope#​orbit_polytope |orbit_polytope]]([[.:​common#​Matrix |Matrix]] input_points,​ [[.:​group:​PermutationAction |PermutationAction]] a)''​**|[[.:​polytope|polytope]]|Functions|Symmetry|
 +|**''​[[.:​polytope#​orbit_polytope |orbit_polytope]]([[.:​common#​Vector |Vector]] input_point,​ [[.:​group:​Group |Group]] g)''​**|[[.:​polytope|polytope]]|Functions|Symmetry|
 +|**''​[[.:​polytope#​orbit_polytope |orbit_polytope]]([[.:​common#​Matrix |Matrix]] input_points,​ [[.:​group:​Group |Group]] g)''​**|[[.:​polytope|polytope]]|Functions|Symmetry|
 +|**''​[[.:​polytope#​orbit_polytope |orbit_polytope]]([[.:​common#​Matrix |Matrix]] input_points,​ [[.:​common#​Array |Array]]<​[[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]%%>>​%% gens)''​**|[[.:​polytope|polytope]]|Functions|Symmetry|
 +|**''​[[.:​polytope#​orbit_polytope |orbit_polytope]]<​Scalar>​([[.:​common#​Vector |Vector]] input_point,​ [[.:​group:​MatrixActionOnVectors |MatrixActionOnVectors]] a)''​**|[[.:​polytope|polytope]]|Functions|Symmetry|
 +|**''​[[.:​polytope#​orbit_polytope |orbit_polytope]]<​Scalar>​([[.:​common#​Matrix |Matrix]]<​Scalar>​ input_points,​ [[.:​group:​MatrixActionOnVectors |MatrixActionOnVectors]]<​Scalar>​ a)''​**|[[.:​polytope|polytope]]|Functions|Symmetry|
 +|**''​[[.:​group:​Action#​ORBIT_REPRESENTATIVE_LABELS |ORBIT_REPRESENTATIVE_LABELS]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​group:​Action#​ORBIT_REPRESENTATIVES |ORBIT_REPRESENTATIVES]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​group#​orbit_representatives |orbit_representatives]]([[.:​common#​Array |Array]]<​GeneratorType>​ G)''​**|[[.:​group|group]]|Functions|Orbits|
 +|**''​[[.:​group#​orbit_reps_and_sizes |orbit_reps_and_sizes]]<​Container>​([[.:​common#​Array |Array]]<​[[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]%%>>​%% generators, Container S)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​group:​Action#​ORBIT_SIZES |ORBIT_SIZES]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​group:​Action#​ORBITS |ORBITS]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​ORBITS_F_VECTOR |ORBITS_F_VECTOR]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​group#​orbits_in_orbit_order |orbits_in_orbit_order]]([[.:​group:​PermutationAction |PermutationAction]] a, [[.:​common#​Matrix |Matrix]] M)''​**|[[.:​group|group]]|Functions|Orbits|
 +|**''​[[.:​group#​orbits_of_action |orbits_of_action]]([[.:​group:​PermutationAction |PermutationAction]] a)''​**|[[.:​group|group]]|Functions|Orbits|
 +|**''​[[.:​group#​orbits_of_coordinate_action |orbits_of_coordinate_action]]([[.:​group:​PermutationAction |PermutationAction]] a, [[.:​common#​Matrix |Matrix]]<​Scalar>​ M)''​**|[[.:​group|group]]|Functions|Orbits|
 +|**''​[[.:​group#​orbits_of_induced_action |orbits_of_induced_action]]([[.:​group:​PermutationAction |PermutationAction]] a, [[.:​common#​IncidenceMatrix |IncidenceMatrix]] I)''​**|[[.:​group|group]]|Functions|Orbits|
 +|**''​[[.:​group:​Group#​ORDER |ORDER]]''​**|[[.:​group|group]]|property of Group|Symmetry|
 +|**''​[[.:​ideal:​Groebner#​ORDER_MATRIX |ORDER_MATRIX]]''​**|[[.:​ideal|ideal]]|property of Groebner|Input properties|
 +|**''​[[.:​ideal:​Groebner#​ORDER_NAME |ORDER_NAME]]''​**|[[.:​ideal|ideal]]|property of Groebner|Input properties|
 +|**''​[[.:​ideal:​Groebner#​ORDER_VECTOR |ORDER_VECTOR]]''​**|[[.:​ideal|ideal]]|property of Groebner|Input properties|
 +|**''​[[.:​topaz:​SimplicialComplex#​ORIENTATION |ORIENTATION]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Topology|
 +|**''​[[.:​common#​TropicalNumber |orientation]]()''​**|[[.:​common|common]]|method of TropicalNumber|no category|
 +|**''​[[.:​common#​Max |orientation]]''​**|[[.:​common|common]]|method of Max|no category|
 +|**''​[[.:​common#​Min |orientation]]''​**|[[.:​common|common]]|method of Min|no category|
 +|**''​[[.:​topaz:​SimplicialComplex#​ORIENTED_PSEUDO_MANIFOLD |ORIENTED_PSEUDO_MANIFOLD]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Topology|
 +|**''​[[.:​polytope:​AffineLattice#​ORIGIN |ORIGIN]]''​**|[[.:​polytope|polytope]]|property of AffineLattice|no category|
 +|**''​[[.:​fan:​PolyhedralFan#​ORTH_LINEALITY_SPACE |ORTH_LINEALITY_SPACE]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Geometry|
 +|**''​[[.:​tropical#​orthant_subdivision |orthant_subdivision]]<​Addition>​([[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ point, [[.:​common#​Int |Int]] chart, [[.:​common#​Integer |Integer]] weight)''​**|[[.:​tropical|tropical]]|Functions|Creation functions for specific cycles|
 +|**''​[[.:​polytope#​orthantify |orthantify]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​common#​Int |Int]] v)''​**|[[.:​polytope|polytope]]|Functions|Transformations|
 +|**''​[[.:​polytope#​ortho_project |ortho_project]]([[.:​polytope:​Polytope |Polytope]] p)''​**|[[.:​polytope|polytope]]|Functions|Symmetry|
 +|**''​[[.:​polytope#​orthonormal_col_basis |orthonormal_col_basis]]([[.:​common#​Matrix |Matrix]] M)''​**|[[.:​polytope|polytope]]|Functions|Transformations|
 +|**''​[[.:​polytope#​orthonormal_row_basis |orthonormal_row_basis]]([[.:​common#​Matrix |Matrix]] M)''​**|[[.:​polytope|polytope]]|Functions|Transformations|
 +|**''​[[.:​common#​GraphAdjacency |out_adjacent_nodes]]([[.:​common#​Int |Int]] node)''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​common#​GraphAdjacency |out_degree]]([[.:​common#​Int |Int]] node)''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​common#​GraphAdjacency |out_edges]]([[.:​common#​Int |Int]] node)''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​polytope:​Polytope#​OUTER_DESCRIPTION |OUTER_DESCRIPTION]]()''​**|[[.:​polytope|polytope]]|method of Polytope|Geometry|
 +|**''​[[.:​topaz#​outitudePolynomials |outitudePolynomials]]([[.:​common#​Array |Array]]<​[[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]%%>>​%% dcel_data)''​**|[[.:​topaz|topaz]]|Functions|Other|
 +|**''​[[.:​topaz#​outitudes |outitudes]]([[.:​common#​Array |Array]]<​[[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]%%>>​%% DCEL_data, [[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ A_coords)''​**|[[.:​topaz|topaz]]|Functions|Producing other objects|
 +|**''​[[.:​common#​ExtGCD |p]]()''​**|[[.:​common|common]]|method of ExtGCD|no category|
 +|**''​[[.:​matroid#​p7_matroid |p7_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​matroid#​p8_matroid |p8_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​fulton:​VersalComponent#​P_RESOLUTION |P_RESOLUTION]]''​**|[[.:​fulton|fulton]]|property of VersalComponent|Combinatorics|
 +|**''​[[.:​common#​Pair |Pair]]<​First,​ Second>''​**|[[.:​common|common]]|Property_types|Basic Types|
 +|**''​[[.:​matroid#​pappus_matroid |pappus_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​matroid#​parallel_extension |parallel_extension]]([[.:​matroid:​Matroid |Matroid]] m_1, [[.:​common#​Int |Int]] e_1, [[.:​matroid:​Matroid |Matroid]] m_2, [[.:​common#​Int |Int]] e_2)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from matroids|
 +|**''​[[.:​matroid#​parallel_extension |parallel_extension]]([[.:​matroid:​Matroid |Matroid]] m, [[.:​common#​Int |Int]] e)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from matroids|
 +|**''​[[.:​group#​partition_representatives |partition_representatives]]([[.:​common#​Array |Array]]<​[[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]%%>>​%% gens, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> S)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​tropical:​Hypersurface#​PATCHWORK |PATCHWORK]]''​**|[[.:​tropical|tropical]]|property of Hypersurface|Combinatorics|
 +|**''​[[.:​tropical:​Patchwork#​Patchwork |Patchwork]]''​**|[[.:​tropical|tropical]]|Objects|no category|
 +|**''​[[.:​graph#​path_graph |path_graph]]([[.:​common#​Int |Int]] n)''​**|[[.:​graph|graph]]|Functions|Producing a graph|
 +|**''​[[.:​matroid:​Matroid#​PAVING |PAVING]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​topaz:​HyperbolicSurface#​PENNER_COORDINATES |PENNER_COORDINATES]]''​**|[[.:​topaz|topaz]]|property of HyperbolicSurface|no category|
 +|**''​[[.:​polytope#​perles_irrational_8_polytope |perles_irrational_8_polytope]]()''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​common:​PermBase#​PermBase |PermBase]]''​**|[[.:​common|common]]|Objects|Combinatorics|
 +|**''​[[.:​polytope#​permutahedron |permutahedron]]([[.:​common#​Int |Int]] d)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​common:​PermBase#​PERMUTATION |PERMUTATION]]''​**|[[.:​common|common]]|property of PermBase|no category|
 +|**''​[[.:​group:​Group#​PERMUTATION_ACTION |PERMUTATION_ACTION]]''​**|[[.:​group|group]]|property of Group|Symmetry|
 +|**''​[[.:​common#​permutation_cycle_lengths |permutation_cycle_lengths]]([[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]> p)''​**|[[.:​common|common]]|Functions|Combinatorics|
 +|**''​[[.:​common#​permutation_cycles |permutation_cycles]]([[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]> p)''​**|[[.:​common|common]]|Functions|Combinatorics|
 +|**''​[[.:​common#​permutation_matrix |permutation_matrix]]<​Scalar>​([[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]> p)''​**|[[.:​common|common]]|Functions|Combinatorics|
 +|**''​[[.:​common#​permutation_order |permutation_order]]([[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]> p)''​**|[[.:​common|common]]|Functions|Combinatorics|
 +|**''​[[.:​common#​permutation_sign |permutation_sign]]([[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]> p)''​**|[[.:​common|common]]|Functions|Combinatorics|
 +|**''​[[.:​group:​Action#​PERMUTATION_TO_ORBIT_ORDER |PERMUTATION_TO_ORBIT_ORDER]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​group:​PermutationAction#​PermutationAction |PermutationAction]]''​**|[[.:​group|group]]|Objects|no category|
 +|**''​[[.:​group:​PermutationActionOnSets#​PermutationActionOnSets |PermutationActionOnSets]]''​**|[[.:​group|group]]|Objects|no category|
 +|**''​[[.:​common#​GraphAdjacency |permute_inv_nodes]]''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​common#​GraphAdjacency |permute_nodes]]''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​common#​Plucker |permuted]]''​**|[[.:​common|common]]|method of Plucker|no category|
 +|**''​[[.:​topaz#​persistent_homology |persistent_homology]]([[.:​topaz#​Filtration |Filtration]]<​[[.:​common#​Matrix |Matrix]]<//​Scalar//​%%>>​%% F, [[.:​common#​Int |Int]] i, [[.:​common#​Int |Int]] p, [[.:​common#​Int |Int]] k)''​**|[[.:​topaz|topaz]]|Functions|Other|
 +|**''​[[.:​topaz#​persistent_homology |persistent_homology]]([[.:​topaz#​Filtration |Filtration]] F)''​**|[[.:​topaz|topaz]]|Functions|Other|
 +|**''​[[.:​common#​perturb_matrix |perturb_matrix]]([[.:​common#​Matrix |Matrix]] M, [[.:​common#​Float |Float]] eps, [[.:​common#​Bool |Bool]] not_hom)''​**|[[.:​common|common]]|Functions|Utilities|
 +|**''​[[.:​polytope#​perturbed_long_and_winding |perturbed_long_and_winding]]([[.:​common#​Int |Int]] r)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​graph#​petersen |petersen]]()''​**|[[.:​graph|graph]]|Functions|Producing a graph|
 +|**''​[[.:​matroid#​pg23_matroid |pg23_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​tropical#​piecewise_divisor |piecewise_divisor]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ F, [[.:​common#​IncidenceMatrix |IncidenceMatrix]] cones, [[.:​common#​Vector |Vector]]<​[[.:​common#​Integer |Integer]]>​ coefficients)''​**|[[.:​tropical|tropical]]|Functions|Divisor computation|
 +|**''​[[.:​polytope:​PointConfiguration#​PIF_CYCLIC_NORMAL |PIF_CYCLIC_NORMAL]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Visualization|
 +|**''​[[.:​polytope#​pile |pile]]([[.:​common#​Vector |Vector]]<​[[.:​common#​Int |Int]]> sizes)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​topaz#​pl_homeomorphic |pl_homeomorphic]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex1, [[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex2)''​**|[[.:​topaz|topaz]]|Functions|Comparing|
 +|**''​[[.:​polytope#​placing_triangulation |placing_triangulation]]([[.:​common#​Matrix |Matrix]] Points)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​fan#​planar_net |planar_net]]([[.:​polytope:​Polytope |Polytope]] p)''​**|[[.:​fan|fan]]|Functions|Producing a fan|
 +|**''​[[.:​fan:​PlanarNet#​PlanarNet |PlanarNet]]<​Scalar>''​**|[[.:​fan|fan]]|Objects|Geometry|
 +|**''​[[.:​polytope#​platonic_solid |platonic_solid]]([[.:​common#​String |String]] s)''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​common#​Plucker |Plucker]]<​Scalar>''​**|[[.:​common|common]]|Property_types|Algebraic Types|
 +|**''​[[.:​common#​pluecker |pluecker]]([[.:​common#​Matrix |Matrix]] V)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​ideal#​pluecker_ideal |pluecker_ideal]]([[.:​common#​Int |Int]] d, [[.:​common#​Int |Int]] n)''​**|[[.:​ideal|ideal]]|Functions|Producing an ideal from scratch|
 +|**''​[[.:​tropical#​point_collection |point_collection]]<​Addition>​([[.:​common#​Matrix |Matrix]]<​[[.:​common#​Rational |Rational]]>​ points, [[.:​common#​Vector |Vector]]<​[[.:​common#​Integer |Integer]]>​ weights)''​**|[[.:​tropical|tropical]]|Functions|Creation functions for specific cycles|
 +|**''​[[.:​tropical#​point_functions |point_functions]]<​Addition>​([[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ A)''​**|[[.:​tropical|tropical]]|Functions|Intersection theory|
 +|**''​[[.:​polytope:​Polytope#​POINT_LABELS |POINT_LABELS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Visualization|
 +|**''​[[.:​polytope:​PointConfiguration#​POINT_LABELS |POINT_LABELS]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Visualization|
 +|**''​[[.:​fan:​PolyhedralComplex#​POINT_LABELS |POINT_LABELS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Visualization|
 +|**''​[[.:​fan:​SubdivisionOfPoints#​POINT_LABELS |POINT_LABELS]]''​**|[[.:​fan|fan]]|property of SubdivisionOfPoints|Visualization|
 +|**''​[[.:​polytope:​PointConfiguration#​PointConfiguration |PointConfiguration]]<​Scalar>''​**|[[.:​polytope|polytope]]|Objects|no category|
 +|**''​[[.:​polytope:​Polytope#​POINTED |POINTED]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​Cone#​POINTED |POINTED]]''​**|[[.:​polytope|polytope]]|property of Cone|Geometry|
 +|**''​[[.:​fan:​PolyhedralFan#​POINTED |POINTED]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Geometry|
 +|**''​[[.:​polytope#​pointed_part |pointed_part]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​polytope:​Polytope#​POINTS |POINTS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Input property|
 +|**''​[[.:​polytope:​PointConfiguration#​POINTS |POINTS]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Input property|
 +|**''​[[.:​fan:​PolyhedralComplex#​POINTS |POINTS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Input property|
 +|**''​[[.:​fan:​SubdivisionOfPoints#​POINTS |POINTS]]''​**|[[.:​fan|fan]]|property of SubdivisionOfPoints|Geometry|
 +|**''​[[.:​tropical:​Polytope#​POINTS |POINTS]]''​**|[[.:​tropical|tropical]]|property of Polytope|Geometry|
 +|**''​[[.:​tropical#​points2hypersurface |points2hypersurface]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition%%>>​%% points)''​**|[[.:​tropical|tropical]]|Functions|Producing a tropical hypersurface|
 +|**''​[[.:​polytope#​points2metric |points2metric]]([[.:​common#​Matrix |Matrix]] points)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope:​Polytope#​POINTS_ACTION |POINTS_ACTION]]''​**|[[.:​polytope|polytope]]|property of Polytope|Symmetry|
 +|**''​[[.:​polytope:​PointConfiguration#​POINTS_ACTION |POINTS_ACTION]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​POINTS_ACTION |POINTS_ACTION]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​polytope:​Polytope#​POINTS_GENERATORS |POINTS_GENERATORS]]''​**|[[.:​polytope|polytope]]|property of Polytope|no category|
 +|**''​[[.:​fan:​PolyhedralComplex#​POINTS_GENERATORS |POINTS_GENERATORS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​POINTS_GENERATORS |POINTS_GENERATORS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​polytope:​Polytope#​POINTS_IN_FACETS |POINTS_IN_FACETS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​tropical#​points_in_pseudovertices |points_in_pseudovertices]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition,​Scalar%%>>​%% points, [[.:​common#​Matrix |Matrix]]<​Scalar>​ pseudovertices)''​**|[[.:​tropical|tropical]]|Functions|Other|
 +|**''​[[.:​polytope:​PointConfiguration#​POINTS_ORBITS |POINTS_ORBITS]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​POINTS_REPS |POINTS_REPS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​polytope:​Polytope#​POLAR_SMOOTH |POLAR_SMOOTH]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​polytope#​polarize |polarize]]([[.:​polytope:​Cone |Cone]] C)''​**|[[.:​polytope|polytope]]|Functions|Transformations|
 +|**''​[[.:​fulton#​polarized_toric_variety |polarized_toric_variety]]([[.:​polytope:​Polytope |Polytope]]<​[[.:​common#​Rational |Rational]]>​ P, [[.:​common#​String |String]] name)''​**|[[.:​fulton|fulton]]|Functions|Producing a normal toric variety|
 +|**''​[[.:​polytope#​poly2lp |poly2lp]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​polytope:​LinearProgram |LinearProgram]] LP, [[.:​common#​Bool |Bool]] maximize, [[.:​common#​String |String]] file)''​**|[[.:​polytope|polytope]]|Functions|Optimization|
 +|**''​[[.:​polytope#​poly2metric |poly2metric]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope#​poly2porta |poly2porta]]([[.:​polytope:​Polytope |Polytope]]<​[[.:​common#​Rational |Rational]]>​ p, [[.:​common#​String |String]] file)''​**|[[.:​polytope|polytope]]|Functions|Optimization|
 +|**''​[[.:​common#​polyDB |polyDB]]([[.:​common#​String |String]] host)''​**|[[.:​common|common]]|Functions|Database Access|
 +|**''​[[.:​common:​PolyDB_Client#​PolyDB::​Client |PolyDB::​Client]]''​**|[[.:​common|common]]|Objects|Database Access|
 +|**''​[[.:​common:​PolyDB_Collection#​PolyDB::​Collection |PolyDB::​Collection]]''​**|[[.:​common|common]]|Objects|Database Access|
 +|**''​[[.:​common:​PolyDB_Cursor#​PolyDB::​Cursor |PolyDB::​Cursor]]''​**|[[.:​common|common]]|Objects|Database Query Operations|
 +|**''​[[.:​fan:​SubdivisionOfPoints#​POLYHEDRAL_COMPLEX |POLYHEDRAL_COMPLEX]]''​**|[[.:​fan|fan]]|property of SubdivisionOfPoints|Geometry|
 +|**''​[[.:​fan:​PolyhedralComplex#​PolyhedralComplex |PolyhedralComplex]]<​Scalar>''​**|[[.:​fan|fan]]|Objects|Geometry|
 +|**''​[[.:​fan:​PolyhedralFan#​PolyhedralFan |PolyhedralFan]]<​Scalar>''​**|[[.:​fan|fan]]|Objects|Geometry|
 +|**''​[[.:​common#​Polynomial |Polynomial]]<​Coefficient,​ Exponent>''​**|[[.:​common|common]]|Property_types|Algebraic Types|
 +|**''​[[.:​tropical:​Hypersurface#​POLYNOMIAL |POLYNOMIAL]]''​**|[[.:​tropical|tropical]]|property of Hypersurface|no category|
 +|**''​[[.:​tropical:​LinesInCubic#​POLYNOMIAL |POLYNOMIAL]]''​**|[[.:​tropical|tropical]]|property of LinesInCubic|Defining properties|
 +|**''​[[.:​polytope:​Polytope#​POLYTOPAL_SUBDIVISION |POLYTOPAL_SUBDIVISION]]''​**|[[.:​polytope|polytope]]|property of Polytope|Triangulation and volume|
 +|**''​[[.:​polytope:​PointConfiguration#​POLYTOPAL_SUBDIVISION |POLYTOPAL_SUBDIVISION]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Triangulation and volume|
 +|**''​[[.:​polytope:​Visual_PointConfiguration#​POLYTOPAL_SUBDIVISION |POLYTOPAL_SUBDIVISION]]([[.:​common#​Int |Int]] index)''​**|[[.:​polytope|polytope]]|method of Visual::​PointConfiguration|no category|
 +|**''​[[.:​matroid:​Matroid#​POLYTOPE |POLYTOPE]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​polytope:​Polytope#​Polytope |Polytope]]<​Scalar>''​**|[[.:​polytope|polytope]]|Objects|no category|
 +|**''​[[.:​fan:​PolyhedralComplex#​polytope |polytope]]([[.:​common#​Int |Int]] i)''​**|[[.:​fan|fan]]|method of PolyhedralComplex|Geometry|
 +|**''​[[.:​fan:​PlanarNet#​POLYTOPE |POLYTOPE]]''​**|[[.:​fan|fan]]|property of PlanarNet|Geometry|
 +|**''​[[.:​tropical:​Polytope#​Polytope |Polytope]]<​Addition,​ Scalar>''​**|[[.:​tropical|tropical]]|Objects|no category|
 +|**''​[[.:​tropical:​Polytope#​POLYTOPE_COVECTOR_DECOMPOSITION |POLYTOPE_COVECTOR_DECOMPOSITION]]''​**|[[.:​tropical|tropical]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​POLYTOPE_IN_STD_BASIS |POLYTOPE_IN_STD_BASIS]]([[.:​polytope:​Polytope |Polytope]]<​[[.:​common#​Rational |Rational]]>​ P)''​**|[[.:​polytope|polytope]]|method of Polytope|Lattice points in cones|
 +|**''​[[.:​tropical:​Polytope#​POLYTOPE_MAXIMAL_COVECTOR_CELLS |POLYTOPE_MAXIMAL_COVECTOR_CELLS]]''​**|[[.:​tropical|tropical]]|property of Polytope|Combinatorics|
 +|**''​[[.:​tropical:​Polytope#​POLYTOPE_MAXIMAL_COVECTORS |POLYTOPE_MAXIMAL_COVECTORS]]''​**|[[.:​tropical|tropical]]|property of Polytope|Combinatorics|
 +|**''​[[.:​fulton#​polytope_of_divisor_class |polytope_of_divisor_class]]''​**|[[.:​fulton|fulton]]|Functions|Combinatorics|
 +|**''​[[.:​tropical:​Polytope#​polytope_subdivision_as_complex |polytope_subdivision_as_complex]]([[.:​common#​Int |Int]] chart)''​**|[[.:​tropical|tropical]]|method of Polytope|Geometry|
 +|**''​[[.:​fan:​PolyhedralComplex#​POLYTOPES |POLYTOPES]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralComplex#​POLYTOPES_ORBIT_SIZES |POLYTOPES_ORBIT_SIZES]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​POLYTOPES_REPS |POLYTOPES_REPS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​tropical:​VoronoiDiagram#​POLYTROPE_PARTITION |POLYTROPE_PARTITION]]''​**|[[.:​tropical|tropical]]|property of VoronoiDiagram|no category|
 +|**''​[[.:​polytope#​porta2poly |porta2poly]]([[.:​common#​String |String]] file)''​**|[[.:​polytope|polytope]]|Functions|Optimization|
 +|**''​[[.:​polytope#​porta_dual |porta_dual]]''​**|[[.:​polytope|polytope]]|Functions|Transformations|
 +|**''​[[.:​polytope#​porta_primal |porta_primal]]''​**|[[.:​polytope|polytope]]|Functions|Transformations|
 +|**''​[[.:​graph#​poset_by_inclusion |poset_by_inclusion]]([[.:​common#​Array |Array]]<​T>​ P)''​**|[[.:​graph|graph]]|Functions|Posets|
 +|**''​[[.:​graph#​poset_homomorphisms |poset_homomorphisms]]([[.:​graph:​Graph |Graph]]<​[[.:​common#​Directed |Directed]]>​ P, [[.:​graph:​Graph |Graph]]<​[[.:​common#​Directed |Directed]]>​ Q)''​**|[[.:​graph|graph]]|Functions|Posets|
 +|**''​[[.:​polytope:​Cone#​POSITIVE |POSITIVE]]''​**|[[.:​polytope|polytope]]|property of Cone|Geometry|
 +|**''​[[.:​polytope:​VectorConfiguration#​POSITIVE |POSITIVE]]''​**|[[.:​polytope|polytope]]|property of VectorConfiguration|Geometry|
 +|**''​[[.:​polytope#​positive_circuits |positive_circuits]]([[.:​polytope:​Polytope |Polytope]] or, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> S)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​matroid#​positroid_from_decorated_permutation |positroid_from_decorated_permutation]]([[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]> perm, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> loops)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from other objects|
 +|**''​[[.:​common#​postscript |postscript]]([[.:​common:​Visual_Object |Visual::​Object]] vis_obj ...)''​**|[[.:​common|common]]|Functions|Visualization|
 +|**''​[[.:​common#​povray |povray]]([[.:​common:​Visual_Object |Visual::​Object]] vis_obj ...)''​**|[[.:​common|common]]|Functions|Visualization|
 +|**''​[[.:​tropical:​TropicalRationalFunction#​POWER |POWER]]''​**|[[.:​tropical|tropical]]|property of TropicalRationalFunction|Defining morphisms and functions|
 +|**''​[[.:​common#​PowerSet |PowerSet]]<​Element>''​**|[[.:​common|common]]|Property_types|Set Types|
 +|**''​[[.:​core#​prefer |prefer]]([[.:​common#​String |String]] label_expression)''​**|[[.:​core|core]]|Functions|Basic|
 +|**''​[[.:​core#​prefer_now |prefer_now]]([[.:​common#​String |String]] label_expression)''​**|[[.:​core|core]]|Functions|Basic|
 +|**''​[[.:​core:​Schema#​prescribe_property_types |prescribe_property_types]](Any properties)''​**|[[.:​core|core]]|method of Schema|no category|
 +|**''​[[.:​ideal:​Ideal#​PRIMARY |PRIMARY]]''​**|[[.:​ideal|ideal]]|property of Ideal|Commutative algebra|
 +|**''​[[.:​ideal:​Ideal#​PRIMARY_DECOMPOSITION |PRIMARY_DECOMPOSITION]]''​**|[[.:​ideal|ideal]]|property of Ideal|Commutative algebra|
 +|**''​[[.:​ideal:​Ideal#​PRIME |PRIME]]''​**|[[.:​ideal|ideal]]|property of Ideal|Commutative algebra|
 +|**''​[[.:​common#​primitive |primitive]]([[.:​common#​Vector |Vector]] v)''​**|[[.:​common|common]]|Functions|Lattice Tools|
 +|**''​[[.:​common#​primitive |primitive]]([[.:​common#​Matrix |Matrix]] M)''​**|[[.:​common|common]]|Functions|Lattice Tools|
 +|**''​[[.:​common#​primitive_affine |primitive_affine]]([[.:​common#​Vector |Vector]] v)''​**|[[.:​common|common]]|Functions|Lattice Tools|
 +|**''​[[.:​common#​primitive_affine |primitive_affine]]([[.:​common#​Matrix |Matrix]] M)''​**|[[.:​common|common]]|Functions|Lattice Tools|
 +|**''​[[.:​fulton:​TDivisor#​PRINCIPAL |PRINCIPAL]]''​**|[[.:​fulton|fulton]]|property of TDivisor|Algebraic Geometry|
 +|**''​[[.:​matroid#​principal_extension |principal_extension]]([[.:​matroid:​Matroid |Matroid]] M, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> F)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from matroids|
 +|**''​[[.:​matroid#​principal_lift |principal_lift]]([[.:​matroid:​Matroid |Matroid]] M, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> F)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from matroids|
 +|**''​[[.:​tropical#​principal_solution |principal_solution]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]>​ A, [[.:​common#​Vector |Vector]]<​[[.:​common#​TropicalNumber |TropicalNumber]]>​ b)''​**|[[.:​tropical|tropical]]|Functions|Tropical operations|
 +|**''​[[.:​matroid#​principal_truncation |principal_truncation]]([[.:​matroid:​Matroid |Matroid]] M, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> F)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from matroids|
 +|**''​[[.:​common#​print_constraints |print_constraints]]([[.:​common#​Matrix |Matrix]]<​Scalar>​ M)''​**|[[.:​common|common]]|Functions|Formatting|
 +|**''​[[.:​polytope#​print_constraints |print_constraints]]([[.:​polytope:​Cone |Cone]]<​Scalar>​ C)''​**|[[.:​polytope|polytope]]|Functions|Optimization|
 +|**''​[[.:​polytope#​print_face_lattice |print_face_lattice]]([[.:​common#​IncidenceMatrix |IncidenceMatrix]] VIF, [[.:​common#​Bool |Bool]] dual)''​**|[[.:​polytope|polytope]]|Functions|Geometry|
 +|**''​[[.:​common#​UniPolynomial |print_ordered]](Exponent x)''​**|[[.:​common|common]]|method of UniPolynomial|no category|
 +|**''​[[.:​common#​Polynomial |print_ordered]]([[.:​common#​Matrix |Matrix]] m)''​**|[[.:​common|common]]|method of Polynomial|no category|
 +|**''​[[.:​polytope#​prism |prism]]([[.:​polytope:​Polytope |Polytope]] P, Scalar z1, Scalar z2)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​polytope#​product |product]]([[.:​polytope:​Polytope |Polytope]] P1, [[.:​polytope:​Polytope |Polytope]] P2)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​fan#​product |product]]([[.:​fan:​PolyhedralFan |PolyhedralFan]] F1, [[.:​fan:​PolyhedralFan |PolyhedralFan]] F2)''​**|[[.:​fan|fan]]|Functions|Producing a fan|
 +|**''​[[.:​topaz:​SimplicialComplex#​PROJ_DICTIONARY |PROJ_DICTIONARY]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Combinatorics|
 +|**''​[[.:​topaz:​SimplicialComplex#​PROJ_ORBITS |PROJ_ORBITS]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Combinatorics|
 +|**''​[[.:​common#​Polynomial |project]]()''​**|[[.:​common|common]]|method of Polynomial|no category|
 +|**''​[[.:​polytope#​project_full |project_full]]([[.:​polytope:​Cone |Cone]] P)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​polytope#​project_full |project_full]]<​Scalar>​([[.:​polytope:​VectorConfiguration |VectorConfiguration]] P)''​**|[[.:​polytope|polytope]]|Functions|Producing a vector configuration|
 +|**''​[[.:​fan#​project_full |project_full]]([[.:​fan:​PolyhedralFan |PolyhedralFan]] P)''​**|[[.:​fan|fan]]|Functions|Producing a fan|
 +|**''​[[.:​polytope#​project_out |project_out]]<​Scalar>​([[.:​polytope:​VectorConfiguration |VectorConfiguration]] V, [[.:​common#​Matrix |Matrix]] B)''​**|[[.:​polytope|polytope]]|Functions|Producing a vector configuration|
 +|**''​[[.:​polytope#​project_out |project_out]]<​Scalar>​([[.:​polytope:​Cone |Cone]] C, [[.:​common#​Matrix |Matrix]] B)''​**|[[.:​polytope|polytope]]|Functions|Producing a vector configuration|
 +|**''​[[.:​polytope#​project_to |project_to]]<​Scalar>​([[.:​polytope:​VectorConfiguration |VectorConfiguration]] V, [[.:​common#​Matrix |Matrix]] B)''​**|[[.:​polytope|polytope]]|Functions|Producing a vector configuration|
 +|**''​[[.:​polytope#​project_to |project_to]]<​Scalar>​([[.:​polytope:​Cone |Cone]] C, [[.:​common#​Matrix |Matrix]] B)''​**|[[.:​polytope|polytope]]|Functions|Producing a vector configuration|
 +|**''​[[.:​common#​project_to_orthogonal_complement |project_to_orthogonal_complement]]([[.:​common#​Matrix |Matrix]] points, [[.:​common#​Matrix |Matrix]] orthogonal)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​polytope:​SymmetrizedCocircuitEquations#​PROJECTED_EQUATIONS |PROJECTED_EQUATIONS]]''​**|[[.:​polytope|polytope]]|property of SymmetrizedCocircuitEquations|no category|
 +|**''​[[.:​fulton:​RationalDivisorClassGroup#​PROJECTION |PROJECTION]]''​**|[[.:​fulton|fulton]]|property of RationalDivisorClassGroup|Algebraic Geometry|
 +|**''​[[.:​polytope#​projection |projection]]([[.:​polytope:​Cone |Cone]] P, [[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]> indices)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​polytope#​projection |projection]]<​Scalar>​([[.:​polytope:​VectorConfiguration |VectorConfiguration]] P, [[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]> indices)''​**|[[.:​polytope|polytope]]|Functions|Producing a vector configuration|
 +|**''​[[.:​tropical#​projection_map |projection_map]]<​Addition>​([[.:​common#​Int |Int]] n, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> s)''​**|[[.:​tropical|tropical]]|Functions|Creation function for specific morphisms and functions|
 +|**''​[[.:​tropical#​projection_map |projection_map]]([[.:​common#​Int |Int]] n, [[.:​common#​Int |Int]] m)''​**|[[.:​tropical|tropical]]|Functions|Creation function for specific morphisms and functions|
 +|**''​[[.:​polytope#​projection_preimage |projection_preimage]]([[.:​common#​Array |Array]]<​[[.:​polytope:​Cone |Cone]]> P_Array)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​polytope#​projection_preimage |projection_preimage]]<​Scalar>​([[.:​common#​Array |Array]]<​[[.:​polytope:​VectorConfiguration |VectorConfiguration]]>​ P_Array)''​**|[[.:​polytope|polytope]]|Functions|Producing a vector configuration|
 +|**''​[[.:​fulton:​NormalToricVariety#​PROJECTIVE |PROJECTIVE]]''​**|[[.:​fulton|fulton]]|property of NormalToricVariety|Algebraic Geometry|
 +|**''​[[.:​tropical:​Cycle#​PROJECTIVE_AMBIENT_DIM |PROJECTIVE_AMBIENT_DIM]]''​**|[[.:​tropical|tropical]]|property of Cycle|Affine and projective coordinates|
 +|**''​[[.:​tropical:​Polytope#​PROJECTIVE_AMBIENT_DIM |PROJECTIVE_AMBIENT_DIM]]''​**|[[.:​tropical|tropical]]|property of Polytope|Geometry|
 +|**''​[[.:​tropical:​Cycle#​PROJECTIVE_CODIMENSION |PROJECTIVE_CODIMENSION]]''​**|[[.:​tropical|tropical]]|property of Cycle|Affine and projective coordinates|
 +|**''​[[.:​tropical:​Cycle#​PROJECTIVE_DIM |PROJECTIVE_DIM]]''​**|[[.:​tropical|tropical]]|property of Cycle|Affine and projective coordinates|
 +|**''​[[.:​matroid#​projective_plane |projective_plane]]([[.:​common#​Integer |Integer]] p)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​topaz#​projective_potato |projective_potato]]([[.:​common#​Array |Array]]<​[[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]%%>>​%% DCEL_data, [[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ A_coords, [[.:​common#​Matrix |Matrix]]<​[[.:​common#​Rational |Rational]]>​ first_two_vertices,​ [[.:​common#​Int |Int]] depth)''​**|[[.:​topaz|topaz]]|Functions|Producing other objects|
 +|**''​[[.:​fulton#​projective_space |projective_space]]([[.:​common#​Int |Int]] d)''​**|[[.:​fulton|fulton]]|Functions|Producing a normal toric variety|
 +|**''​[[.:​tropical#​projective_torus |projective_torus]]<​Addition>​([[.:​common#​Int |Int]] n, [[.:​common#​Integer |Integer]] w)''​**|[[.:​tropical|tropical]]|Functions|Creation functions for specific cycles|
 +|**''​[[.:​tropical:​Cycle#​PROJECTIVE_VERTICES |PROJECTIVE_VERTICES]]''​**|[[.:​tropical|tropical]]|property of Cycle|Input property|
 +|**''​[[.:​polytope:​PropagatedPolytope#​PropagatedPolytope |PropagatedPolytope]]<​Scalar>''​**|[[.:​polytope|polytope]]|Objects|no category|
 +|**''​[[.:​core:​Core_BigObject#​properties |properties]]()''​**|[[.:​core|core]]|method of Core::​BigObject|no category|
 +|**''​[[.:​core:​Core_BigObject#​provide |provide]]([[.:​common#​String |String]] property_name)''​**|[[.:​core|core]]|method of Core::​BigObject|no category|
 +|**''​[[.:​polytope#​pseudo_delpezzo |pseudo_delpezzo]]([[.:​common#​Int |Int]] d, Scalar scale)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​topaz:​SimplicialComplex#​PSEUDO_MANIFOLD |PSEUDO_MANIFOLD]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Topology|
 +|**''​[[.:​fan:​PolyhedralFan#​PSEUDO_REGULAR |PSEUDO_REGULAR]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Geometry|
 +|**''​[[.:​polytope#​pseudopower |pseudopower]]([[.:​common#​Integer |Integer]] l, [[.:​common#​Int |Int]] i)''​**|[[.:​polytope|polytope]]|Functions|Other|
 +|**''​[[.:​tropical:​Polytope#​PSEUDOVERTEX_COARSE_COVECTORS |PSEUDOVERTEX_COARSE_COVECTORS]]''​**|[[.:​tropical|tropical]]|property of Polytope|Combinatorics|
 +|**''​[[.:​tropical:​Polytope#​PSEUDOVERTEX_COVECTORS |PSEUDOVERTEX_COVECTORS]]''​**|[[.:​tropical|tropical]]|property of Polytope|Combinatorics|
 +|**''​[[.:​tropical:​Polytope#​PSEUDOVERTICES |PSEUDOVERTICES]]''​**|[[.:​tropical|tropical]]|property of Polytope|Geometry|
 +|**''​[[.:​tropical#​psi_class |psi_class]]<​Addition>​([[.:​common#​Int |Int]] n, [[.:​common#​Int |Int]] i)''​**|[[.:​tropical|tropical]]|Functions|Moduli of rational curves|
 +|**''​[[.:​tropical#​psi_product |psi_product]]<​Addition>​([[.:​common#​Int |Int]] n, [[.:​common#​Vector |Vector]]<​[[.:​common#​Int |Int]]> exponents)''​**|[[.:​tropical|tropical]]|Functions|Moduli of rational curves|
 +|**''​[[.:​common#​PuiseuxFraction |PuiseuxFraction]]<​MinMax,​ Coefficient,​ Exponent>''​**|[[.:​common|common]]|Property_types|Algebraic Types|
 +|**''​[[.:​tropical#​pullback |pullback]]([[.:​tropical:​Morphism |Morphism]] m, [[.:​tropical:​TropicalRationalFunction |TropicalRationalFunction]] r)''​**|[[.:​tropical|tropical]]|Functions|Intersection theory|
 +|**''​[[.:​topaz:​SimplicialComplex#​PURE |PURE]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralFan#​PURE |PURE]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Combinatorics|
 +|**''​[[.:​polytope#​pyramid |pyramid]]([[.:​polytope:​Polytope |Polytope]] P, Scalar z)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​fulton:​VersalComponent#​PYRAMID_LATTICE |PYRAMID_LATTICE]]''​**|[[.:​fulton|fulton]]|property of VersalComponent|Combinatorics|
 +|**''​[[.:​fulton:​CyclicQuotient#​Q |Q]]''​**|[[.:​fulton|fulton]]|property of CyclicQuotient|Input properties|
 +|**''​[[.:​common#​ExtGCD |q]]()''​**|[[.:​common|common]]|method of ExtGCD|no category|
 +|**''​[[.:​matroid#​q3_gf3_star_matroid |q3_gf3_star_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​matroid#​q8_matroid |q8_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​fulton:​TDivisor#​Q_CARTIER |Q_CARTIER]]''​**|[[.:​fulton|fulton]]|property of TDivisor|Algebraic Geometry|
 +|**''​[[.:​fan:​PolyhedralFan#​Q_GORENSTEIN |Q_GORENSTEIN]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Toric Varieties|
 +|**''​[[.:​polytope:​Cone#​Q_GORENSTEIN_CONE |Q_GORENSTEIN_CONE]]''​**|[[.:​polytope|polytope]]|property of Cone|Lattice points in cones|
 +|**''​[[.:​polytope:​Cone#​Q_GORENSTEIN_CONE_INDEX |Q_GORENSTEIN_CONE_INDEX]]''​**|[[.:​polytope|polytope]]|property of Cone|Lattice points in cones|
 +|**''​[[.:​fan:​PolyhedralFan#​Q_GORENSTEIN_INDEX |Q_GORENSTEIN_INDEX]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Toric Varieties|
 +|**''​[[.:​common#​qr_decomp |qr_decomp]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​Float |Float]]>​ M)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​common#​QuadraticExtension |QuadraticExtension]]<​Field>''​**|[[.:​common|common]]|Property_types|Basic Types|
 +|**''​[[.:​polytope#​quarter_turn_manifold |quarter_turn_manifold]]()''​**|[[.:​polytope|polytope]]|Functions|Quotient spaces|
 +|**''​[[.:​common#​Div |quot]]()''​**|[[.:​common|common]]|method of Div|no category|
 +|**''​[[.:​polytope:​Polytope#​QUOTIENT_SPACE |QUOTIENT_SPACE]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope#​quotient_space_simplexity_ilp |quotient_space_simplexity_ilp]]([[.:​common#​Int |Int]] d, [[.:​common#​Matrix |Matrix]] V, Scalar volume, [[.:​common#​SparseMatrix |SparseMatrix]] cocircuit_equations)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope#​quotient_space_simplexity_lower_bound |quotient_space_simplexity_lower_bound]]([[.:​common#​Int |Int]] d, [[.:​common#​Matrix |Matrix]] V, Scalar volume, [[.:​common#​SparseMatrix |SparseMatrix]] cocircuit_equations)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope:​QuotientSpace#​QuotientSpace |QuotientSpace]]''​**|[[.:​polytope|polytope]]|Objects|Symmetry|
 +|**''​[[.:​matroid#​r10_matroid |r10_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​matroid#​r8_matroid |r8_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​matroid#​r9a_matroid |r9a_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​matroid#​r9b_matroid |r9b_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​ideal:​Ideal#​RADICAL |RADICAL]]''​**|[[.:​ideal|ideal]]|property of Ideal|Commutative algebra|
 +|**''​[[.:​tropical#​ragsdale_counterexample |ragsdale_counterexample]]()''​**|[[.:​tropical|tropical]]|Functions|no category|
 +|**''​[[.:​polytope#​rand01 |rand01]]([[.:​common#​Int |Int]] d, [[.:​common#​Int |Int]] n)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​polytope#​rand_aof |rand_aof]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​common#​Int |Int]] start)''​**|[[.:​polytope|polytope]]|Functions|Optimization|
 +|**''​[[.:​polytope#​rand_box |rand_box]]([[.:​common#​Int |Int]] d, [[.:​common#​Int |Int]] n, [[.:​common#​Int |Int]] b)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​polytope#​rand_cyclic |rand_cyclic]]([[.:​common#​Int |Int]] d, [[.:​common#​Int |Int]] n)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​polytope#​rand_inner_points |rand_inner_points]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​common#​Int |Int]] n)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​topaz#​rand_knot |rand_knot]]([[.:​common#​Int |Int]] n_edges)''​**|[[.:​topaz|topaz]]|Functions|Producing from scratch|
 +|**''​[[.:​polytope#​rand_metric |rand_metric]]<​Scalar>​([[.:​common#​Int |Int]] n)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​polytope#​rand_metric_int |rand_metric_int]]<​Scalar>​([[.:​common#​Int |Int]] n)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​polytope#​rand_normal |rand_normal]]([[.:​common#​Int |Int]] d, [[.:​common#​Int |Int]] n)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​common#​rand_perm |rand_perm]]([[.:​common#​Int |Int]] n)''​**|[[.:​common|common]]|Functions|Utilities|
 +|**''​[[.:​polytope#​rand_sphere |rand_sphere]]<​Num>​([[.:​common#​Int |Int]] d, [[.:​common#​Int |Int]] n)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​polytope#​rand_vert |rand_vert]]([[.:​common#​Matrix |Matrix]] V, [[.:​common#​Int |Int]] n)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​topaz#​random_discrete_morse |random_discrete_morse]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex)''​**|[[.:​topaz|topaz]]|Functions|Other|
 +|**''​[[.:​polytope:​LinearProgram#​RANDOM_EDGE_EPL |RANDOM_EDGE_EPL]]''​**|[[.:​polytope|polytope]]|property of LinearProgram|no category|
 +|**''​[[.:​polytope#​random_edge_epl |random_edge_epl]]([[.:​graph:​Graph |Graph]]<​[[.:​common#​Directed |Directed]]>​ G)''​**|[[.:​polytope|polytope]]|Functions|Optimization|
 +|**''​[[.:​graph#​random_graph |random_graph]]([[.:​common#​Int |Int]] n)''​**|[[.:​graph|graph]]|Functions|Producing a graph|
 +|**''​[[.:​graph#​random_spanningtree |random_spanningtree]]([[.:​graph:​Graph |Graph]] G)''​**|[[.:​graph|graph]]|Functions|Combinatorics|
 +|**''​[[.:​tropical#​randomInteger |randomInteger]]([[.:​common#​Int |Int]] max_arg, [[.:​common#​Int |Int]] n)''​**|[[.:​tropical|tropical]]|Functions|Lattices|
 +|**''​[[.:​common#​range |range]]([[.:​common#​Int |Int]] a, [[.:​common#​Int |Int]] b)''​**|[[.:​common|common]]|Functions|Set Operations|
 +|**''​[[.:​common#​range_from |range_from]]([[.:​common#​Int |Int]] a)''​**|[[.:​common|common]]|Functions|Set Operations|
 +|**''​[[.:​matroid:​Matroid#​RANK |RANK]]''​**|[[.:​matroid|matroid]]|property of Matroid|Enumerative properties|
 +|**''​[[.:​matroid:​Matroid#​rank |rank]]()''​**|[[.:​matroid|matroid]]|method of Matroid|Axiom systems|
 +|**''​[[.:​common#​SmithNormalForm |rank]]()''​**|[[.:​common|common]]|method of SmithNormalForm|no category|
 +|**''​[[.:​common#​HermiteNormalForm |rank]]()''​**|[[.:​common|common]]|method of HermiteNormalForm|no category|
 +|**''​[[.:​common#​rank |rank]]([[.:​common#​Matrix |Matrix]] A)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​tropical:​MatroidRingCycle#​RANK |RANK]]''​**|[[.:​tropical|tropical]]|property of MatroidRingCycle|Matroid data|
 +|**''​[[.:​graph:​Lattice#​rank |rank]]()''​**|[[.:​graph|graph]]|method of Lattice|Combinatorics|
 +|**''​[[.:​graph#​BasicDecoration |rank]]()''​**|[[.:​graph|graph]]|method of BasicDecoration|no category|
 +|**''​[[.:​common#​Rational |Rational]]''​**|[[.:​common|common]]|Property_types|Basic Types|
 +|**''​[[.:​fulton#​rational2cf |rational2cf]]([[.:​common#​Rational |Rational]] r)''​**|[[.:​fulton|fulton]]|Functions|Continued fractions|
 +|**''​[[.:​tropical#​rational_curve_from_cone |rational_curve_from_cone]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ X, [[.:​common#​Int |Int]] n_leaves, [[.:​common#​Int |Int]] coneIndex)''​**|[[.:​tropical|tropical]]|Functions|Abstract rational curves|
 +|**''​[[.:​tropical#​rational_curve_from_matroid_coordinates |rational_curve_from_matroid_coordinates]]<​Addition>​([[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ v)''​**|[[.:​tropical|tropical]]|Functions|Abstract rational curves|
 +|**''​[[.:​tropical#​rational_curve_from_metric |rational_curve_from_metric]]([[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ v)''​**|[[.:​tropical|tropical]]|Functions|Abstract rational curves|
 +|**''​[[.:​tropical#​rational_curve_from_rays |rational_curve_from_rays]]<​Addition>​([[.:​common#​Matrix |Matrix]]<​[[.:​common#​Rational |Rational]]>​ rays)''​**|[[.:​tropical|tropical]]|Functions|Abstract rational curves|
 +|**''​[[.:​tropical#​rational_curve_immersion |rational_curve_immersion]]<​Addition>​([[.:​common#​Matrix |Matrix]]<​[[.:​common#​Rational |Rational]]>​ delta, [[.:​tropical:​RationalCurve |RationalCurve]] type)''​**|[[.:​tropical|tropical]]|Functions|Abstract rational curves|
 +|**''​[[.:​tropical#​rational_curve_list_from_matroid_coordinates |rational_curve_list_from_matroid_coordinates]]<​Addition>​([[.:​common#​Matrix |Matrix]]<​[[.:​common#​Rational |Rational]]>​ m)''​**|[[.:​tropical|tropical]]|Functions|Abstract rational curves|
 +|**''​[[.:​tropical#​rational_curve_list_from_metric |rational_curve_list_from_metric]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​Rational |Rational]]>​ m)''​**|[[.:​tropical|tropical]]|Functions|Abstract rational curves|
 +|**''​[[.:​fulton:​NormalToricVariety#​RATIONAL_DIVISOR_CLASS_GROUP |RATIONAL_DIVISOR_CLASS_GROUP]]''​**|[[.:​fulton|fulton]]|property of NormalToricVariety|Algebraic Geometry|
 +|**''​[[.:​tropical#​rational_fct_from_affine_denominator |rational_fct_from_affine_denominator]]([[.:​common#​Polynomial |Polynomial]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition%%>>​%% p, [[.:​common#​Int |Int]] chart)''​**|[[.:​tropical|tropical]]|Functions|Affine and projective coordinates|
 +|**''​[[.:​tropical#​rational_fct_from_affine_denominator |rational_fct_from_affine_denominator]]([[.:​common#​String |String]] p, [[.:​common#​Int |Int]] chart)''​**|[[.:​tropical|tropical]]|Functions|Affine and projective coordinates|
 +|**''​[[.:​tropical#​rational_fct_from_affine_numerator |rational_fct_from_affine_numerator]]([[.:​common#​Polynomial |Polynomial]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition%%>>​%% p, [[.:​common#​Int |Int]] chart)''​**|[[.:​tropical|tropical]]|Functions|Affine and projective coordinates|
 +|**''​[[.:​tropical#​rational_fct_from_affine_numerator |rational_fct_from_affine_numerator]]([[.:​common#​String |String]] p, [[.:​common#​Int |Int]] chart)''​**|[[.:​tropical|tropical]]|Functions|Affine and projective coordinates|
 +|**''​[[.:​tropical:​RationalCurve#​RationalCurve |RationalCurve]]''​**|[[.:​tropical|tropical]]|Objects|no category|
 +|**''​[[.:​fulton:​RationalDivisorClassGroup#​RationalDivisorClassGroup |RationalDivisorClassGroup]]''​**|[[.:​fulton|fulton]]|Objects|no category|
 +|**''​[[.:​common#​RationalFunction |RationalFunction]]<​Coefficient,​ Exponent>''​**|[[.:​common|common]]|Property_types|Algebraic Types|
 +|**''​[[.:​polytope:​Cone#​RAY_LABELS |RAY_LABELS]]''​**|[[.:​polytope|polytope]]|property of Cone|Visualization|
 +|**''​[[.:​fan:​PolyhedralFan#​RAY_LABELS |RAY_LABELS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Visualization|
 +|**''​[[.:​polytope:​Cone#​RAY_SEPARATORS |RAY_SEPARATORS]]''​**|[[.:​polytope|polytope]]|property of Cone|Geometry|
 +|**''​[[.:​polytope:​Cone#​RAY_SIZES |RAY_SIZES]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​RAYS |RAYS]]''​**|[[.:​polytope|polytope]]|property of Cone|Geometry|
 +|**''​[[.:​fan:​PolyhedralFan#​RAYS |RAYS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Geometry|
 +|**''​[[.:​group:​Group#​RAYS_ACTION |RAYS_ACTION]]''​**|[[.:​group|group]]|property of Group|Symmetry|
 +|**''​[[.:​group:​Action#​RAYS_GENERATORS |RAYS_GENERATORS]]''​**|[[.:​group|group]]|property of Action|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​RAYS_IMAGES |RAYS_IMAGES]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​polytope:​Cone#​RAYS_IN_FACETS |RAYS_IN_FACETS]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​fan:​HyperplaneArrangement#​RAYS_IN_HYPERPLANES |RAYS_IN_HYPERPLANES]]''​**|[[.:​fan|fan]]|property of HyperplaneArrangement|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​RAYS_IN_INEQUALITIES |RAYS_IN_INEQUALITIES]]''​**|[[.:​polytope|polytope]]|property of Cone|Geometry|
 +|**''​[[.:​fan:​PolyhedralFan#​RAYS_IN_ORBITS |RAYS_IN_ORBITS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​polytope:​Cone#​RAYS_IN_RIDGES |RAYS_IN_RIDGES]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralFan#​RAYS_ORBIT_SIZES |RAYS_ORBIT_SIZES]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​polytope:​Cone#​RAYS_ORBITS |RAYS_ORBITS]]''​**|[[.:​polytope|polytope]]|property of Cone|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​RAYS_REPS |RAYS_REPS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​RAYS_REPS_LABELS |RAYS_REPS_LABELS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​tropical:​Patchwork#​REAL_FACETS |REAL_FACETS]]''​**|[[.:​tropical|tropical]]|property of Patchwork|no category|
 +|**''​[[.:​tropical:​Patchwork#​REAL_PHASE |REAL_PHASE]]''​**|[[.:​tropical|tropical]]|property of Patchwork|no category|
 +|**''​[[.:​topaz#​real_projective_plane |real_projective_plane]]()''​**|[[.:​topaz|topaz]]|Functions|Producing from scratch|
 +|**''​[[.:​tropical:​Patchwork#​realize |realize]]([[.:​common#​String |String]] method)''​**|[[.:​tropical|tropical]]|method of Patchwork|no category|
 +|**''​[[.:​polytope#​recession_cone |recession_cone]]([[.:​polytope:​Polytope |Polytope]]<​Scalar>​ P)''​**|[[.:​polytope|polytope]]|Functions|Producing a cone|
 +|**''​[[.:​tropical#​recession_fan |recession_fan]]([[.:​tropical:​Cycle |Cycle]] complex)''​**|[[.:​tropical|tropical]]|Functions|Basic polyhedral operations|
 +|**''​[[.:​core#​reconfigure |reconfigure]]([[.:​common#​String |String]] rulename)''​**|[[.:​core|core]]|Functions|Interactive|
 +|**''​[[.:​core#​reconfigure_extension |reconfigure_extension]]([[.:​common#​String |String]] extension, [[.:​common#​String |String]] options)''​**|[[.:​core|core]]|Functions|Interactive|
 +|**''​[[.:​common#​reduce |reduce]]([[.:​common#​Matrix |Matrix]] A, [[.:​common#​Vector |Vector]] b)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​ideal:​Groebner#​reduce |reduce]]''​**|[[.:​ideal|ideal]]|method of Groebner|no category|
 +|**''​[[.:​polytope#​reduced |reduced]]([[.:​common#​Rational |Rational]] t, [[.:​common#​Rational |Rational]] x, [[.:​common#​Rational |Rational]] s, [[.:​common#​Rational |Rational]] h, [[.:​common#​Rational |Rational]] r)''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​tropical:​Hypersurface#​REDUNDANT_MONOMIALS |REDUNDANT_MONOMIALS]]''​**|[[.:​tropical|tropical]]|property of Hypersurface|no category|
 +|**''​[[.:​polytope:​Polytope#​REFINED_SPLITS |REFINED_SPLITS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​REFINED_SPLITS |REFINED_SPLITS]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​polytope:​PointConfiguration#​REFINED_SPLITS |REFINED_SPLITS]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Triangulation and volume|
 +|**''​[[.:​polytope:​PointConfiguration#​REFINED_SPLITS |REFINED_SPLITS]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​REFLEXIVE |REFLEXIVE]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​tropical:​Hypersurface#​REGIONS |REGIONS]]''​**|[[.:​tropical|tropical]]|property of Hypersurface|no category|
 +|**''​[[.:​matroid:​Matroid#​REGULAR |REGULAR]]''​**|[[.:​matroid|matroid]]|property of Matroid|Realizability|
 +|**''​[[.:​fan:​PolyhedralFan#​REGULAR |REGULAR]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Geometry|
 +|**''​[[.:​fan:​SubdivisionOfPoints#​REGULAR |REGULAR]]''​**|[[.:​fan|fan]]|property of SubdivisionOfPoints|Geometry|
 +|**''​[[.:​polytope#​regular_120_cell |regular_120_cell]]()''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​polytope#​regular_24_cell |regular_24_cell]]()''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​polytope#​regular_600_cell |regular_600_cell]]()''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​group:​Group#​REGULAR_REPRESENTATION |REGULAR_REPRESENTATION]]''​**|[[.:​group|group]]|property of Group|Symmetry|
 +|**''​[[.:​group#​regular_representation |regular_representation]]([[.:​group:​PermutationAction |PermutationAction]] a)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​polytope#​regular_simplex |regular_simplex]]([[.:​common#​Int |Int]] d)''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​polytope#​regular_subdivision |regular_subdivision]]([[.:​common#​Matrix |Matrix]] points, [[.:​common#​Vector |Vector]] weights)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope#​regularity_lp |regularity_lp]]([[.:​common#​Matrix |Matrix]] points, [[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]%%>>​%% subdiv)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope:​Cone#​REL_INT_POINT |REL_INT_POINT]]''​**|[[.:​polytope|polytope]]|property of Cone|Geometry|
 +|**''​[[.:​polytope:​Polytope#​RELATIVE_VOLUME |RELATIVE_VOLUME]]''​**|[[.:​polytope|polytope]]|property of Polytope|Triangulation and volume|
 +|**''​[[.:​common#​Div |rem]]()''​**|[[.:​common|common]]|method of Div|no category|
 +|**''​[[.:​common:​PolyDB_Collection#​remove |remove]]([[.:​common#​String |String]] id)''​**|[[.:​common|common]]|method of PolyDB::​Collection|Database Collection Administration|
 +|**''​[[.:​core:​Core_BigObject#​remove |remove]]([[.:​common#​String |String]] property_name)''​**|[[.:​core|core]]|method of Core::​BigObject|no category|
 +|**''​[[.:​common:​PolyDB_Collection#​remove_all |remove_all]]''​**|[[.:​common|common]]|method of PolyDB::​Collection|Database Collection Administration|
 +|**''​[[.:​core:​Core_BigObject#​remove_attachment |remove_attachment]]([[.:​common#​String |String]] name)''​**|[[.:​core|core]]|method of Core::​BigObject|no category|
 +|**''​[[.:​common:​PolyDB_Client#​remove_collection |remove_collection]]()''​**|[[.:​common|common]]|method of PolyDB::​Client|Database Administration|
 +|**''​[[.:​common:​PolyDB_Client#​remove_section |remove_section]]()''​**|[[.:​common|common]]|method of PolyDB::​Client|Database Administration|
 +|**''​[[.:​common:​PolyDB_Client#​remove_user_from_collection |remove_user_from_collection]]()''​**|[[.:​common|common]]|method of PolyDB::​Client|Database Administration|
 +|**''​[[.:​common#​remove_zero_rows |remove_zero_rows]]([[.:​common#​Matrix |Matrix]] m)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​common#​repeat_col |repeat_col]]([[.:​common#​Vector |Vector]] v, [[.:​common#​Int |Int]] i)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​common#​repeat_row |repeat_row]]([[.:​common#​Vector |Vector]] v, [[.:​common#​Int |Int]] i)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​core#​replay_history |replay_history]]''​**|[[.:​core|core]]|Functions|Interactive|
 +|**''​[[.:​polytope#​representation_conversion_up_to_symmetry |representation_conversion_up_to_symmetry]]([[.:​polytope:​Cone |Cone]] c)''​**|[[.:​polytope|polytope]]|Functions|Symmetry|
 +|**''​[[.:​tropical:​LinesInCubic#​representative |representative]]''​**|[[.:​tropical|tropical]]|method of LinesInCubic|Lists of lines|
 +|**''​[[.:​tropical:​LinesInCubic#​representative |representative]]''​**|[[.:​tropical|tropical]]|method of LinesInCubic|Lists of lines|
 +|**''​[[.:​tropical:​LinesInCubic#​representative |representative]]''​**|[[.:​tropical|tropical]]|method of LinesInCubic|Lists of lines|
 +|**''​[[.:​tropical:​LinesInCubic#​representative |representative]]''​**|[[.:​tropical|tropical]]|method of LinesInCubic|Lists of lines|
 +|**''​[[.:​polytope:​Cone#​REPRESENTATIVE_BOUNDARY_RIDGE_SIMPLICES |REPRESENTATIVE_BOUNDARY_RIDGE_SIMPLICES]]''​**|[[.:​polytope|polytope]]|property of Cone|Symmetry|
 +|**''​[[.:​polytope:​PointConfiguration#​REPRESENTATIVE_BOUNDARY_RIDGE_SIMPLICES |REPRESENTATIVE_BOUNDARY_RIDGE_SIMPLICES]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Symmetry|
 +|**''​[[.:​polytope:​Polytope#​REPRESENTATIVE_CERTIFIERS |REPRESENTATIVE_CERTIFIERS]]''​**|[[.:​polytope|polytope]]|property of Polytope|no category|
 +|**''​[[.:​fan:​PolyhedralFan#​REPRESENTATIVE_COMBINATORIAL_DIMS |REPRESENTATIVE_COMBINATORIAL_DIMS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​REPRESENTATIVE_CONES |REPRESENTATIVE_CONES]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​polytope:​Polytope#​REPRESENTATIVE_CORE_POINTS |REPRESENTATIVE_CORE_POINTS]]''​**|[[.:​polytope|polytope]]|property of Polytope|no category|
 +|**''​[[.:​fan:​PolyhedralFan#​REPRESENTATIVE_F_VECTOR |REPRESENTATIVE_F_VECTOR]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​polytope:​Cone#​REPRESENTATIVE_FACETS |REPRESENTATIVE_FACETS]]''​**|[[.:​polytope|polytope]]|property of Cone|Symmetry|
 +|**''​[[.:​polytope:​Polytope#​REPRESENTATIVE_INEQUALITIES |REPRESENTATIVE_INEQUALITIES]]''​**|[[.:​polytope|polytope]]|method of Polytope|no category|
 +|**''​[[.:​polytope:​Cone#​REPRESENTATIVE_INEQUALITIES |REPRESENTATIVE_INEQUALITIES]]()''​**|[[.:​polytope|polytope]]|method of Cone|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​REPRESENTATIVE_INPUT_CONES |REPRESENTATIVE_INPUT_CONES]]''​**|[[.:​fan|fan]]|method of PolyhedralFan|Symmetry|
 +|**''​[[.:​polytope:​Cone#​REPRESENTATIVE_INPUT_RAYS |REPRESENTATIVE_INPUT_RAYS]]()''​**|[[.:​polytope|polytope]]|method of Cone|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​REPRESENTATIVE_INPUT_RAYS |REPRESENTATIVE_INPUT_RAYS]]''​**|[[.:​fan|fan]]|method of PolyhedralFan|Symmetry|
 +|**''​[[.:​polytope:​Cone#​REPRESENTATIVE_INTERIOR_RIDGE_SIMPLICES |REPRESENTATIVE_INTERIOR_RIDGE_SIMPLICES]]''​**|[[.:​polytope|polytope]]|property of Cone|Symmetry|
 +|**''​[[.:​polytope:​PointConfiguration#​REPRESENTATIVE_INTERIOR_RIDGE_SIMPLICES |REPRESENTATIVE_INTERIOR_RIDGE_SIMPLICES]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Symmetry|
 +|**''​[[.:​polytope:​QuotientSpace#​REPRESENTATIVE_INTERIOR_RIDGE_SIMPLICES |REPRESENTATIVE_INTERIOR_RIDGE_SIMPLICES]]''​**|[[.:​polytope|polytope]]|property of QuotientSpace|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​REPRESENTATIVE_MAX_BOUNDARY_SIMPLICES |REPRESENTATIVE_MAX_BOUNDARY_SIMPLICES]]''​**|[[.:​polytope|polytope]]|property of Cone|Symmetry|
 +|**''​[[.:​polytope:​PointConfiguration#​REPRESENTATIVE_MAX_BOUNDARY_SIMPLICES |REPRESENTATIVE_MAX_BOUNDARY_SIMPLICES]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Symmetry|
 +|**''​[[.:​polytope:​QuotientSpace#​REPRESENTATIVE_MAX_BOUNDARY_SIMPLICES |REPRESENTATIVE_MAX_BOUNDARY_SIMPLICES]]''​**|[[.:​polytope|polytope]]|property of QuotientSpace|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​REPRESENTATIVE_MAX_INTERIOR_SIMPLICES |REPRESENTATIVE_MAX_INTERIOR_SIMPLICES]]''​**|[[.:​polytope|polytope]]|property of Cone|Symmetry|
 +|**''​[[.:​polytope:​PointConfiguration#​REPRESENTATIVE_MAX_INTERIOR_SIMPLICES |REPRESENTATIVE_MAX_INTERIOR_SIMPLICES]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Symmetry|
 +|**''​[[.:​polytope:​QuotientSpace#​REPRESENTATIVE_MAX_INTERIOR_SIMPLICES |REPRESENTATIVE_MAX_INTERIOR_SIMPLICES]]''​**|[[.:​polytope|polytope]]|property of QuotientSpace|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralFan#​REPRESENTATIVE_MAXIMAL_CONES |REPRESENTATIVE_MAXIMAL_CONES]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​polytope:​Cone#​REPRESENTATIVE_RAYS |REPRESENTATIVE_RAYS]]''​**|[[.:​polytope|polytope]]|property of Cone|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​REPRESENTATIVE_RAYS |REPRESENTATIVE_RAYS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​polytope:​Polytope#​REPRESENTATIVE_VERTICES |REPRESENTATIVE_VERTICES]]''​**|[[.:​polytope|polytope]]|property of Polytope|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​REPRESENTATIVE_VERTICES |REPRESENTATIVE_VERTICES]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​REPS_AFFINE_SPAN_NORMALS |REPS_AFFINE_SPAN_NORMALS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​REPS_FACET_NORMALS |REPS_FACET_NORMALS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​REPS_LINEAR_SPAN_NORMALS |REPS_LINEAR_SPAN_NORMALS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​core#​reset_custom |reset_custom]](Any variable)''​**|[[.:​core|core]]|Functions|Basic|
 +|**''​[[.:​core#​reset_preference |reset_preference]]([[.:​common#​String |String]] label_expression)''​**|[[.:​core|core]]|Functions|Basic|
 +|**''​[[.:​common#​UniPolynomial |reset_var_names]]''​**|[[.:​common|common]]|method of UniPolynomial|no category|
 +|**''​[[.:​common#​Polynomial |reset_var_names]]''​**|[[.:​common|common]]|method of Polynomial|no category|
 +|**''​[[.:​common#​SparseMatrix |resize]]([[.:​common#​Int |Int]] r, [[.:​common#​Int |Int]] c)''​**|[[.:​common|common]]|method of SparseMatrix|no category|
 +|**''​[[.:​common#​Matrix |resize]]([[.:​common#​Int |Int]] r, [[.:​common#​Int |Int]] c)''​**|[[.:​common|common]]|method of Matrix|no category|
 +|**''​[[.:​tropical:​TropicalRationalFunction#​restrict |restrict]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ C)''​**|[[.:​tropical|tropical]]|method of TropicalRationalFunction|Defining morphisms and functions|
 +|**''​[[.:​tropical:​Morphism#​restrict |restrict]]([[.:​tropical:​Cycle |Cycle]] Some)''​**|[[.:​tropical|tropical]]|method of Morphism|Morphisms|
 +|**''​[[.:​polytope#​revert |revert]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Transformations|
 +|**''​[[.:​matroid:​Matroid#​REVLEX_BASIS_ENCODING |REVLEX_BASIS_ENCODING]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​common#​RGB |RGB]]''​**|[[.:​common|common]]|Property_types|Visualization|
 +|**''​[[.:​polytope#​rhombicosidodecahedron |rhombicosidodecahedron]]()''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​polytope#​rhombicuboctahedron |rhombicuboctahedron]]()''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​polytope:​SymmetrizedCocircuitEquations#​RIDGES |RIDGES]]''​**|[[.:​polytope|polytope]]|property of SymmetrizedCocircuitEquations|no category|
 +|**''​[[.:​polytope:​Cone#​RIF_CYCLIC_NORMAL |RIF_CYCLIC_NORMAL]]''​**|[[.:​polytope|polytope]]|property of Cone|Visualization|
 +|**''​[[.:​common#​SmithNormalForm |right_companion]]()''​**|[[.:​common|common]]|method of SmithNormalForm|no category|
 +|**''​[[.:​common#​SingularValueDecomposition |right_companion]]()''​**|[[.:​common|common]]|method of SingularValueDecomposition|no category|
 +|**''​[[.:​polytope#​root_system |root_system]]([[.:​common#​String |String]] type)''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​polytope:​SchlegelDiagram#​ROTATION |ROTATION]]''​**|[[.:​polytope|polytope]]|property of SchlegelDiagram|no category|
 +|**''​[[.:​common#​Matrix |row]]([[.:​common#​Int |Int]] i)''​**|[[.:​common|common]]|method of Matrix|no category|
 +|**''​[[.:​common#​IncidenceMatrix |row]]([[.:​common#​Int |Int]] i)''​**|[[.:​common|common]]|method of IncidenceMatrix|no category|
 +|**''​[[.:​group#​row_support_sizes |row_support_sizes]]([[.:​common#​SparseMatrix |SparseMatrix]] M)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​common#​Matrix |rows]]()''​**|[[.:​common|common]]|method of Matrix|no category|
 +|**''​[[.:​common#​IncidenceMatrix |rows]]()''​**|[[.:​common|common]]|method of IncidenceMatrix|no category|
 +|**''​[[.:​common#​rows |rows]]''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​common#​rows |rows]]([[.:​common#​Matrix |Matrix]] A)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​common#​rows_labeled |rows_labeled]]([[.:​common#​Matrix |Matrix]] data, [[.:​common#​Array |Array]]<​[[.:​common#​String |String]]>​ row_labels, [[.:​common#​Array |Array]]<​[[.:​common#​String |String]]>​ elem_labels)''​**|[[.:​common|common]]|Functions|Formatting|
 +|**''​[[.:​common#​rows_labeled |rows_labeled]]([[.:​common#​GraphAdjacency |GraphAdjacency]] graph, [[.:​common#​Array |Array]]<​[[.:​common#​String |String]]>​ elem_labels)''​**|[[.:​common|common]]|Functions|Formatting|
 +|**''​[[.:​common#​rows_numbered |rows_numbered]]([[.:​common#​Matrix |Matrix]] data)''​**|[[.:​common|common]]|Functions|Formatting|
 +|**''​[[.:​polytope#​rss_associahedron |rss_associahedron]]([[.:​common#​Int |Int]] l)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​ideal:​Ideal#​SATURATION |SATURATION]]''​**|[[.:​ideal|ideal]]|method of Ideal|no category|
 +|**''​[[.:​core#​save |save]]([[.:​core:​Core_BigObject |Core::​BigObject]] object, [[.:​common#​String |String]] filename)''​**|[[.:​core|core]]|Functions|Basic|
 +|**''​[[.:​core#​save_data |save_data]](Any data, [[.:​common#​String |String]] filename)''​**|[[.:​core|core]]|Functions|Basic|
 +|**''​[[.:​core#​save_history |save_history]]([[.:​common#​String |String]] filename)''​**|[[.:​core|core]]|Functions|Interactive|
 +|**''​[[.:​core#​save_schema |save_schema]]([[.:​core:​Schema |Schema]] schema, [[.:​common#​String |String]] filename)''​**|[[.:​core|core]]|Functions|Schemas|
 +|**''​[[.:​common#​scalar2set |scalar2set]](//​Scalar//​ s)''​**|[[.:​common|common]]|Functions|Set Operations|
 +|**''​[[.:​polytope#​scale |scale]]([[.:​polytope:​Polytope |Polytope]] P, Scalar factor, [[.:​common#​Bool |Bool]] store)''​**|[[.:​polytope|polytope]]|Functions|Transformations|
 +|**''​[[.:​core:​Schema#​Schema |Schema]]''​**|[[.:​core|core]]|Objects|no category|
 +|**''​[[.:​polytope:​Polytope#​SCHLEGEL |SCHLEGEL]]()''​**|[[.:​polytope|polytope]]|method of Polytope|Visualization|
 +|**''​[[.:​polytope:​Polytope#​SCHLEGEL_DIAGRAM |SCHLEGEL_DIAGRAM]]''​**|[[.:​polytope|polytope]]|property of Polytope|Visualization|
 +|**''​[[.:​polytope:​SchlegelDiagram#​SchlegelDiagram |SchlegelDiagram]]<​Scalar>''​**|[[.:​polytope|polytope]]|Objects|no category|
 +|**''​[[.:​core#​script |script]]([[.:​common#​String |String]] filename, Any Arguments)''​**|[[.:​core|core]]|Functions|Basic|
 +|**''​[[.:​tropical#​second_tdet_and_perm |second_tdet_and_perm]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]>​ matrix)''​**|[[.:​tropical|tropical]]|Functions|Tropical operations|
 +|**''​[[.:​fan:​SubdivisionOfVectors#​secondary_cone |secondary_cone]]()''​**|[[.:​fan|fan]]|method of SubdivisionOfVectors|Geometry|
 +|**''​[[.:​topaz:​HyperbolicSurface#​SECONDARY_FAN |SECONDARY_FAN]]''​**|[[.:​topaz|topaz]]|property of HyperbolicSurface|no category|
 +|**''​[[.:​fan#​secondary_fan |secondary_fan]]([[.:​polytope:​VectorConfiguration |VectorConfiguration]] V)''​**|[[.:​fan|fan]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​fan#​secondary_fan |secondary_fan]]''​**|[[.:​fan|fan]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​topaz#​secondary_polyhedron |secondary_polyhedron]]([[.:​topaz:​HyperbolicSurface |HyperbolicSurface]] s, [[.:​common#​Int |Int]] depth)''​**|[[.:​topaz|topaz]]|Functions|Producing other objects|
 +|**''​[[.:​polytope#​secondary_polytope |secondary_polytope]]([[.:​polytope:​PointConfiguration |PointConfiguration]] pc)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope#​secondary_polytope |secondary_polytope]]([[.:​polytope:​Polytope |Polytope]] pc)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​fulton:​TDivisor#​SECTION_POLYTOPE |SECTION_POLYTOPE]]''​**|[[.:​fulton|fulton]]|property of TDivisor|Combinatorics|
 +|**''​[[.:​fan#​SedentarityDecoration |SedentarityDecoration]]''​**|[[.:​fan|fan]]|Property_types|no category|
 +|**''​[[.:​common#​select_subset |select_subset]]([[.:​common#​Set |Set]] s, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> indices)''​**|[[.:​common|common]]|Functions|Set Operations|
 +|**''​[[.:​matroid:​Matroid#​SELF_DUAL |SELF_DUAL]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​polytope:​Polytope#​SELF_DUAL |SELF_DUAL]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​SELF_DUAL |SELF_DUAL]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​fulton:​TDivisor#​SEMIAMPLE |SEMIAMPLE]]''​**|[[.:​fulton|fulton]]|property of TDivisor|Algebraic Geometry|
 +|**''​[[.:​polytope#​separable |separable]]([[.:​common#​Vector |Vector]] q, [[.:​polytope:​Cone |Cone]] P)''​**|[[.:​polytope|polytope]]|Functions|Geometry|
 +|**''​[[.:​tropical:​Cycle#​SEPARATED_CODIMENSION_ONE_POLYTOPES |SEPARATED_CODIMENSION_ONE_POLYTOPES]]''​**|[[.:​tropical|tropical]]|property of Cycle|Defining morphisms and functions|
 +|**''​[[.:​tropical:​Cycle#​SEPARATED_CONVERSION_VECTOR |SEPARATED_CONVERSION_VECTOR]]''​**|[[.:​tropical|tropical]]|property of Cycle|Defining morphisms and functions|
 +|**''​[[.:​tropical:​Cycle#​SEPARATED_MAXIMAL_POLYTOPES |SEPARATED_MAXIMAL_POLYTOPES]]''​**|[[.:​tropical|tropical]]|property of Cycle|Defining morphisms and functions|
 +|**''​[[.:​tropical:​Cycle#​SEPARATED_VERTICES |SEPARATED_VERTICES]]''​**|[[.:​tropical|tropical]]|property of Cycle|Defining morphisms and functions|
 +|**''​[[.:​polytope#​separating_hyperplane |separating_hyperplane]]([[.:​common#​Vector |Vector]] q, [[.:​common#​Matrix |Matrix]] points)''​**|[[.:​polytope|polytope]]|Functions|Optimization|
 +|**''​[[.:​polytope#​separating_hyperplane |separating_hyperplane]]([[.:​polytope:​Polytope |Polytope]] p1, [[.:​polytope:​Polytope |Polytope]] p2)''​**|[[.:​polytope|polytope]]|Functions|Optimization|
 +|**''​[[.:​common#​sequence |sequence]]([[.:​common#​Int |Int]] a, [[.:​common#​Int |Int]] c)''​**|[[.:​common|common]]|Functions|Set Operations|
 +|**''​[[.:​graph#​Sequential |Sequential]]''​**|[[.:​graph|graph]]|Property_types|Artificial|
 +|**''​[[.:​common#​Serialized |Serialized]]<​X>''​**|[[.:​common|common]]|Property_types|Artificial|
 +|**''​[[.:​matroid#​series_extension |series_extension]]([[.:​matroid:​Matroid |Matroid]] m_1, [[.:​common#​Int |Int]] e_1, [[.:​matroid:​Matroid |Matroid]] m_2, [[.:​common#​Int |Int]] e_2)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from matroids|
 +|**''​[[.:​matroid#​series_extension |series_extension]]([[.:​matroid:​Matroid |Matroid]] m, [[.:​common#​Int |Int]] e)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from matroids|
 +|**''​[[.:​matroid:​Matroid#​SERIES_PARALLEL |SERIES_PARALLEL]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​common#​Set |Set]]<​Element>''​**|[[.:​common|common]]|Property_types|Set Types|
 +|**''​[[.:​group:​Group#​SET_ACTION |SET_ACTION]]''​**|[[.:​group|group]]|property of Group|Symmetry|
 +|**''​[[.:​core:​Core_BigObject#​set_as_default |set_as_default]]''​**|[[.:​core|core]]|method of Core::​BigObject|no category|
 +|**''​[[.:​core:​Core_BigObject#​set_as_default_now |set_as_default_now]]''​**|[[.:​core|core]]|method of Core::​BigObject|no category|
 +|**''​[[.:​common:​PolyDB_Collection#​set_collection_doc |set_collection_doc]](HASH doc)''​**|[[.:​common|common]]|method of PolyDB::​Collection|Database Collection Administration|
 +|**''​[[.:​core#​set_custom |set_custom]](Any assignment)''​**|[[.:​core|core]]|Functions|Basic|
 +|**''​[[.:​common:​PolyDB_Collection#​set_info |set_info]](HASH info)''​**|[[.:​common|common]]|method of PolyDB::​Collection|Database Collection Administration|
 +|**''​[[.:​core#​set_preference |set_preference]]([[.:​common#​String |String]] label_expression)''​**|[[.:​core|core]]|Functions|Basic|
 +|**''​[[.:​common:​PolyDB_Collection#​set_schema |set_schema]](HASH schema)''​**|[[.:​common|common]]|method of PolyDB::​Collection|Database Collection Administration|
 +|**''​[[.:​common:​PolyDB_Client#​set_section_doc |set_section_doc]](HASH doc)''​**|[[.:​common|common]]|method of PolyDB::​Client|Database Administration|
 +|**''​[[.:​tropical#​set_theoretic_intersection |set_theoretic_intersection]]([[.:​tropical:​Cycle |Cycle]] A, [[.:​tropical:​Cycle |Cycle]] B)''​**|[[.:​tropical|tropical]]|Functions|Basic polyhedral operations|
 +|**''​[[.:​common#​UniPolynomial |set_var_names]]''​**|[[.:​common|common]]|method of UniPolynomial|no category|
 +|**''​[[.:​common#​Polynomial |set_var_names]]''​**|[[.:​common|common]]|method of Polynomial|no category|
 +|**''​[[.:​common#​set_var_names |set_var_names]]([[.:​common#​String |String]] names ...)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​tropical:​RationalCurve#​SETS |SETS]]''​**|[[.:​tropical|tropical]]|property of RationalCurve|Combinatorics|
 +|**''​[[.:​topaz:​SimplicialComplex#​SHELLABLE |SHELLABLE]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Combinatorics|
 +|**''​[[.:​topaz:​SimplicialComplex#​SHELLING |SHELLING]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Combinatorics|
 +|**''​[[.:​tropical#​shift_cycle |shift_cycle]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ C, [[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ T)''​**|[[.:​tropical|tropical]]|Functions|Basic polyhedral operations|
 +|**''​[[.:​graph#​shortest_path_dijkstra |shortest_path_dijkstra]]([[.:​graph:​Graph |Graph]] G, [[.:​common#​EdgeMap |EdgeMap]] weights, [[.:​common#​Int |Int]] source, [[.:​common#​Int |Int]] target, [[.:​common#​Bool |Bool]] if)''​**|[[.:​graph|graph]]|Functions|no category|
 +|**''​[[.:​core#​show_credits |show_credits]]''​**|[[.:​core|core]]|Functions|Interactive|
 +|**''​[[.:​core#​show_extensions |show_extensions]]''​**|[[.:​core|core]]|Functions|Interactive|
 +|**''​[[.:​core#​show_preferences |show_preferences]]''​**|[[.:​core|core]]|Functions|Interactive|
 +|**''​[[.:​core#​show_unconfigured |show_unconfigured]]''​**|[[.:​core|core]]|Functions|Interactive|
 +|**''​[[.:​common#​SingularValueDecomposition |sigma]]()''​**|[[.:​common|common]]|method of SingularValueDecomposition|no category|
 +|**''​[[.:​topaz:​GeometricSimplicialComplex#​SIGNATURE |SIGNATURE]]''​**|[[.:​topaz|topaz]]|property of GeometricSimplicialComplex|no category|
 +|**''​[[.:​graph:​Graph#​SIGNATURE |SIGNATURE]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​fan:​HyperplaneArrangement#​signature_to_cell |signature_to_cell]]''​**|[[.:​fan|fan]]|method of HyperplaneArrangement|Combinatorics|
 +|**''​[[.:​graph:​Graph#​SIGNED_INCIDENCE_MATRIX |SIGNED_INCIDENCE_MATRIX]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​graph#​signed_incidence_matrix |signed_incidence_matrix]]([[.:​graph:​Graph |Graph]] G)''​**|[[.:​graph|graph]]|Functions|Combinatorics|
 +|**''​[[.:​graph#​signed_incidence_matrix |signed_incidence_matrix]]([[.:​common#​GraphAdjacency |GraphAdjacency]] G)''​**|[[.:​graph|graph]]|Functions|Combinatorics|
 +|**''​[[.:​polytope#​signed_permutahedron |signed_permutahedron]]([[.:​common#​Int |Int]] d)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​tropical:​Patchwork#​SIGNS |SIGNS]]''​**|[[.:​tropical|tropical]]|property of Patchwork|no category|
 +|**''​[[.:​matroid:​Matroid#​SIMPLE |SIMPLE]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​polytope:​Polytope#​SIMPLE |SIMPLE]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​SIMPLE |SIMPLE]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​SIMPLE_POLYHEDRON |SIMPLE_POLYHEDRON]]''​**|[[.:​polytope|polytope]]|property of Polytope|Unbounded polyhedra|
 +|**''​[[.:​polytope#​simple_polytope_vertices_rs |simple_polytope_vertices_rs]]([[.:​polytope:​Polytope |Polytope]]<​Scalar>​ P, [[.:​common#​Vector |Vector]]<​Scalar>​ min_vertex)''​**|[[.:​polytope|polytope]]|Functions|Geometry|
 +|**''​[[.:​polytope#​simple_roots_type_A |simple_roots_type_A]]([[.:​common#​Int |Int]] index)''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​polytope#​simple_roots_type_B |simple_roots_type_B]]([[.:​common#​Int |Int]] index)''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​polytope#​simple_roots_type_C |simple_roots_type_C]]([[.:​common#​Int |Int]] index)''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​polytope#​simple_roots_type_D |simple_roots_type_D]]([[.:​common#​Int |Int]] index)''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​polytope#​simple_roots_type_E6 |simple_roots_type_E6]]()''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​polytope#​simple_roots_type_E7 |simple_roots_type_E7]]()''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​polytope#​simple_roots_type_E8 |simple_roots_type_E8]]()''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​polytope#​simple_roots_type_F4 |simple_roots_type_F4]]()''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​polytope#​simple_roots_type_G2 |simple_roots_type_G2]]()''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​polytope#​simple_roots_type_H3 |simple_roots_type_H3]]()''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​polytope#​simple_roots_type_H4 |simple_roots_type_H4]]()''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​topaz#​simplex |simplex]]([[.:​common#​Int |Int]] d)''​**|[[.:​topaz|topaz]]|Functions|Producing from scratch|
 +|**''​[[.:​polytope#​simplex |simplex]]([[.:​common#​Int |Int]] d, Scalar scale)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​polytope#​simplexity_ilp |simplexity_ilp]]([[.:​common#​Int |Int]] d, [[.:​common#​Matrix |Matrix]] points, [[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]> MIS, Scalar volume, [[.:​common#​SparseMatrix |SparseMatrix]] cocircuit_equations)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope#​simplexity_ilp_with_angles |simplexity_ilp_with_angles]]([[.:​common#​Int |Int]] d, [[.:​common#​Matrix |Matrix]] V, [[.:​common#​Matrix |Matrix]] F, [[.:​common#​IncidenceMatrix |IncidenceMatrix]] VIF, [[.:​common#​IncidenceMatrix |IncidenceMatrix]] VIR, [[.:​common#​Array |Array]]<​[[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]%%>>​%% gens, [[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]> MIS, Scalar volume, [[.:​common#​SparseMatrix |SparseMatrix]] cocircuit_equations)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope:​Polytope#​SIMPLEXITY_LOWER_BOUND |SIMPLEXITY_LOWER_BOUND]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​PointConfiguration#​SIMPLEXITY_LOWER_BOUND |SIMPLEXITY_LOWER_BOUND]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Combinatorics|
 +|**''​[[.:​polytope:​QuotientSpace#​SIMPLEXITY_LOWER_BOUND |SIMPLEXITY_LOWER_BOUND]]''​**|[[.:​polytope|polytope]]|property of QuotientSpace|Combinatorics|
 +|**''​[[.:​polytope#​simplexity_lower_bound |simplexity_lower_bound]]([[.:​common#​Int |Int]] d, [[.:​common#​Matrix |Matrix]] points, Scalar volume, [[.:​common#​SparseMatrix |SparseMatrix]] cocircuit_equations)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​group:​Group#​SIMPLEXITY_LOWER_BOUND |SIMPLEXITY_LOWER_BOUND]]''​**|[[.:​group|group]]|property of Group|Symmetry|
 +|**''​[[.:​polytope:​QuotientSpace#​SIMPLICES |SIMPLICES]]''​**|[[.:​polytope|polytope]]|property of QuotientSpace|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​SIMPLICIAL |SIMPLICIAL]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​SIMPLICIAL |SIMPLICIAL]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralFan#​SIMPLICIAL |SIMPLICIAL]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Combinatorics|
 +|**''​[[.:​polytope:​QuotientSpace#​SIMPLICIAL_COMPLEX |SIMPLICIAL_COMPLEX]]''​**|[[.:​polytope|polytope]]|property of QuotientSpace|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​SIMPLICIAL_CONE |SIMPLICIAL_CONE]]''​**|[[.:​polytope|polytope]]|property of Cone|Combinatorics|
 +|**''​[[.:​tropical#​simplicial_diagonal_system |simplicial_diagonal_system]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ fan)''​**|[[.:​tropical|tropical]]|Functions|Inverse problems|
 +|**''​[[.:​tropical#​simplicial_piecewise_system |simplicial_piecewise_system]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ F)''​**|[[.:​tropical|tropical]]|Functions|Inverse problems|
 +|**''​[[.:​topaz#​simplicial_product |simplicial_product]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex1, [[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex2)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​topaz#​simplicial_product |simplicial_product]]<​Scalar>​([[.:​topaz:​GeometricSimplicialComplex |GeometricSimplicialComplex]] complex1, [[.:​topaz:​GeometricSimplicialComplex |GeometricSimplicialComplex]] complex2)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​tropical#​simplicial_with_diagonal |simplicial_with_diagonal]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ F)''​**|[[.:​tropical|tropical]]|Functions|Inverse problems|
 +|**''​[[.:​topaz:​SimplicialComplex#​SimplicialComplex |SimplicialComplex]]''​**|[[.:​topaz|topaz]]|Objects|no category|
 +|**''​[[.:​polytope:​Polytope#​SIMPLICIALITY |SIMPLICIALITY]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​SIMPLICITY |SIMPLICITY]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​ideal#​singular_eval |singular_eval]]([[.:​common#​String |String]] s)''​**|[[.:​ideal|ideal]]|Functions|Singular interface|
 +|**''​[[.:​ideal#​singular_get_var |singular_get_var]]([[.:​common#​String |String]] s)''​**|[[.:​ideal|ideal]]|Functions|Singular interface|
 +|**''​[[.:​ideal:​Groebner#​SINGULAR_IDEAL |SINGULAR_IDEAL]]''​**|[[.:​ideal|ideal]]|property of Groebner|Singular interface|
 +|**''​[[.:​common#​singular_value_decomposition |singular_value_decomposition]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​Float |Float]]>​ M)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​ideal#​SingularIdeal |SingularIdeal]]''​**|[[.:​ideal|ideal]]|Property_types|Singular interface|
 +|**''​[[.:​common#​SingularValueDecomposition |SingularValueDecomposition]]''​**|[[.:​common|common]]|Property_types|Linear Algebra|
 +|**''​[[.:​polytope:​VoronoiPolyhedron#​SITE_LABELS |SITE_LABELS]]''​**|[[.:​polytope|polytope]]|property of VoronoiPolyhedron|no category|
 +|**''​[[.:​polytope:​VoronoiPolyhedron#​SITES |SITES]]''​**|[[.:​polytope|polytope]]|property of VoronoiPolyhedron|no category|
 +|**''​[[.:​tropical:​VoronoiDiagram#​SITES |SITES]]''​**|[[.:​tropical|tropical]]|property of VoronoiDiagram|no category|
 +|**''​[[.:​topaz:​MorseMatching#​SIZE |SIZE]]''​**|[[.:​topaz|topaz]]|property of MorseMatching|no category|
 +|**''​[[.:​common#​Array |size]]()''​**|[[.:​common|common]]|method of Array|no category|
 +|**''​[[.:​common#​SparseVector |size]]()''​**|[[.:​common|common]]|method of SparseVector|no category|
 +|**''​[[.:​common#​FacetList |size]]()''​**|[[.:​common|common]]|method of FacetList|no category|
 +|**''​[[.:​common#​Set |size]]()''​**|[[.:​common|common]]|method of Set|no category|
 +|**''​[[.:​common#​HashSet |size]]()''​**|[[.:​common|common]]|method of HashSet|no category|
 +|**''​[[.:​common#​HashMap |size]]()''​**|[[.:​common|common]]|method of HashMap|no category|
 +|**''​[[.:​tropical#​skeleton_complex |skeleton_complex]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ C, [[.:​common#​Int |Int]] k, [[.:​common#​Bool |Bool]] preserveRays)''​**|[[.:​tropical|tropical]]|Functions|Basic polyhedral operations|
 +|**''​[[.:​common#​sketch |sketch]]([[.:​common:​Visual_Object |Visual::​Object]] vis_obj ...)''​**|[[.:​common|common]]|Functions|Visualization|
 +|**''​[[.:​polytope:​Polytope#​SLACK_IDEAL |SLACK_IDEAL]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​ideal#​slack_ideal_non_saturated |slack_ideal_non_saturated]]''​**|[[.:​ideal|ideal]]|Functions|Singular interface|
 +|**''​[[.:​polytope:​Polytope#​SLACK_MATRIX |SLACK_MATRIX]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​SlackIdeal#​SlackIdeal |SlackIdeal]]''​**|[[.:​polytope|polytope]]|Objects|no category|
 +|**''​[[.:​common#​Vector |slice]]([[.:​common#​Set |Set]] s)''​**|[[.:​common|common]]|method of Vector|no category|
 +|**''​[[.:​common#​smith_normal_form |smith_normal_form]]([[.:​common#​Matrix |Matrix]] M, [[.:​common#​Bool |Bool]] inv)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​common#​smith_normal_form_flint |smith_normal_form_flint]]([[.:​common#​Matrix |Matrix]] M)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​common#​SmithNormalForm |SmithNormalForm]]<​Scalar>''​**|[[.:​common|common]]|Property_types|Linear Algebra|
 +|**''​[[.:​fulton:​NormalToricVariety#​SMOOTH |SMOOTH]]''​**|[[.:​fulton|fulton]]|property of NormalToricVariety|Algebraic Geometry|
 +|**''​[[.:​polytope:​Polytope#​SMOOTH |SMOOTH]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​polytope:​Cone#​SMOOTH_CONE |SMOOTH_CONE]]''​**|[[.:​polytope|polytope]]|property of Cone|Lattice points in cones|
 +|**''​[[.:​fan:​PolyhedralFan#​SMOOTH_FAN |SMOOTH_FAN]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Toric Varieties|
 +|**''​[[.:​polytope:​Visual_SchlegelDiagram#​SOLID |SOLID]]()''​**|[[.:​polytope|polytope]]|method of Visual::​SchlegelDiagram|no category|
 +|**''​[[.:​ideal:​Ideal#​SOLVE |SOLVE]]''​**|[[.:​ideal|ideal]]|method of Ideal|no category|
 +|**''​[[.:​common#​solve_left |solve_left]]([[.:​common#​Matrix |Matrix]] A, [[.:​common#​Matrix |Matrix]] B)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​common#​solve_right |solve_right]]([[.:​common#​Matrix |Matrix]] A, [[.:​common#​Matrix |Matrix]] B)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​core:​Schema#​source |source]]()''​**|[[.:​core|core]]|method of Schema|no category|
 +|**''​[[.:​tropical#​space_of_stable_maps |space_of_stable_maps]]<​Addition>​([[.:​common#​Int |Int]] n, [[.:​common#​Int |Int]] d, [[.:​common#​Int |Int]] r)''​**|[[.:​tropical|tropical]]|Functions|Moduli of rational curves|
 +|**''​[[.:​group#​span_same_subspace |span_same_subspace]]([[.:​common#​Array |Array]]<​[[.:​common#​HashMap |HashMap]]<​SetType,​[[.:​common#​Rational |Rational]]%%>>​%% S1, [[.:​common#​Array |Array]]<​[[.:​common#​HashMap |HashMap]]<​SetType,​[[.:​common#​Rational |Rational]]%%>>​%% S2)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​polytope:​Polytope#​SPANNING |SPANNING]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​group#​spans_invariant_subspace |spans_invariant_subspace]]([[.:​group:​ImplicitActionOnSets |ImplicitActionOnSets]] a, [[.:​common#​Array |Array]]<​[[.:​common#​HashMap |HashMap]]<​[[.:​common#​Bitset |Bitset]],​[[.:​common#​Rational |Rational]]%%>>​%% S)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​group#​sparse_isotypic_basis |sparse_isotypic_basis]]([[.:​group:​PermutationActionOnSets |PermutationActionOnSets]] rep, [[.:​common#​Int |Int]] i)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​group#​sparse_isotypic_spanning_set |sparse_isotypic_spanning_set]]([[.:​group:​PermutationActionOnSets |PermutationActionOnSets]] rep, [[.:​common#​Int |Int]] i)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​group#​sparse_isotypic_support |sparse_isotypic_support]]([[.:​group:​PermutationActionOnSets |PermutationActionOnSets]] rep, [[.:​common#​Int |Int]] i)''​**|[[.:​group|group]]|Functions|Symmetry|
 +|**''​[[.:​matroid:​Matroid#​SPARSE_PAVING |SPARSE_PAVING]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​common#​SparseMatrix |SparseMatrix]]<​Element,​ Sym>''​**|[[.:​common|common]]|Property_types|Algebraic Types|
 +|**''​[[.:​common#​SparseVector |SparseVector]]<​Element>''​**|[[.:​common|common]]|Property_types|Algebraic Types|
 +|**''​[[.:​polytope:​Polytope#​SPECIAL_FACETS |SPECIAL_FACETS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​matroid#​special_matroid |special_matroid]]([[.:​common#​String |String]] s)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​topaz:​HyperbolicSurface#​SPECIAL_POINT |SPECIAL_POINT]]''​**|[[.:​topaz|topaz]]|property of HyperbolicSurface|no category|
 +|**''​[[.:​topaz:​SimplicialComplex#​SPHERE |SPHERE]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Topology|
 +|**''​[[.:​topaz#​sphere |sphere]]([[.:​common#​Int |Int]] d)''​**|[[.:​topaz|topaz]]|Functions|Producing from scratch|
 +|**''​[[.:​polytope#​spherize |spherize]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​matroid:​Matroid#​SPLIT |SPLIT]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​polytope:​Polytope#​SPLIT_COMPATIBILITY_GRAPH |SPLIT_COMPATIBILITY_GRAPH]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​PointConfiguration#​SPLIT_COMPATIBILITY_GRAPH |SPLIT_COMPATIBILITY_GRAPH]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Combinatorics|
 +|**''​[[.:​polytope#​split_compatibility_graph |split_compatibility_graph]]([[.:​common#​Matrix |Matrix]] splits, [[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​matroid:​Matroid#​SPLIT_FLACETS |SPLIT_FLACETS]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​polytope#​split_polyhedron |split_polyhedron]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope:​Polytope#​SPLITS |SPLITS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​PointConfiguration#​SPLITS |SPLITS]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Combinatorics|
 +|**''​[[.:​polytope#​splits |splits]]([[.:​common#​Matrix |Matrix]] V, [[.:​graph:​Graph |Graph]] G, [[.:​common#​Matrix |Matrix]] F, [[.:​common#​Int |Int]] dimension)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope#​splits_in_subdivision |splits_in_subdivision]]([[.:​common#​Matrix |Matrix]] vertices, [[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]%%>>​%% subdivision,​ [[.:​common#​Matrix |Matrix]] splits)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​fan#​splitstree |splitstree]]([[.:​common:​Visual_Object |Visual::​Object]] vis_obj ...)''​**|[[.:​fan|fan]]|Functions|Visualization|
 +|**''​[[.:​graph#​spring_embedder |spring_embedder]]([[.:​common#​GraphAdjacency |GraphAdjacency]]<​[[.:​common#​Undirected |Undirected]]>​ graph)''​**|[[.:​graph|graph]]|Functions|Visualization|
 +|**''​[[.:​common#​sqr |sqr]]([[.:​common#​Vector |Vector]]<//​Scalar//>​ v)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​polytope:​AffineLattice#​SQUARED_DETERMINANT |SQUARED_DETERMINANT]]''​**|[[.:​polytope|polytope]]|property of AffineLattice|no category|
 +|**''​[[.:​polytope:​Polytope#​SQUARED_EDGE_LENGTHS |SQUARED_EDGE_LENGTHS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​Polytope#​SQUARED_RELATIVE_VOLUMES |SQUARED_RELATIVE_VOLUMES]]''​**|[[.:​polytope|polytope]]|property of Polytope|Triangulation and volume|
 +|**''​[[.:​common#​GraphAdjacency |squeeze]]''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​common#​SparseMatrix |squeeze]]''​**|[[.:​common|common]]|method of SparseMatrix|no category|
 +|**''​[[.:​common#​IncidenceMatrix |squeeze]]''​**|[[.:​common|common]]|method of IncidenceMatrix|no category|
 +|**''​[[.:​common#​SparseMatrix |squeeze_cols]]''​**|[[.:​common|common]]|method of SparseMatrix|no category|
 +|**''​[[.:​common#​IncidenceMatrix |squeeze_cols]]''​**|[[.:​common|common]]|method of IncidenceMatrix|no category|
 +|**''​[[.:​common#​GraphAdjacency |squeeze_isolated]]''​**|[[.:​common|common]]|method of GraphAdjacency|no category|
 +|**''​[[.:​common#​SparseMatrix |squeeze_rows]]''​**|[[.:​common|common]]|method of SparseMatrix|no category|
 +|**''​[[.:​common#​IncidenceMatrix |squeeze_rows]]''​**|[[.:​common|common]]|method of IncidenceMatrix|no category|
 +|**''​[[.:​topaz#​stabbing_order |stabbing_order]]([[.:​topaz:​GeometricSimplicialComplex |GeometricSimplicialComplex]] P)''​**|[[.:​topaz|topaz]]|Functions|Other|
 +|**''​[[.:​group#​stabilizer_of_set |stabilizer_of_set]]([[.:​group:​PermutationAction |PermutationAction]] a, [[.:​common#​Set |Set]] S)''​**|[[.:​group|group]]|Functions|Producing a group|
 +|**''​[[.:​group#​stabilizer_of_vector |stabilizer_of_vector]]([[.:​group:​PermutationAction |PermutationAction]] a, [[.:​common#​Vector |Vector]] v)''​**|[[.:​group|group]]|Functions|Producing a group|
 +|**''​[[.:​polytope#​stable_set |stable_set]]([[.:​graph:​Graph |Graph]] G)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​polytope#​stack |stack]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> stack_facets)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​polytope#​staircase_weight |staircase_weight]]([[.:​common#​Int |Int]] k, [[.:​common#​Int |Int]] l)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​topaz#​stanley_reisner |stanley_reisner]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex)''​**|[[.:​topaz|topaz]]|Functions|Other|
 +|**''​[[.:​topaz#​star |star]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> face)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​tropical#​star_at_point |star_at_point]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ C, [[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ v)''​**|[[.:​tropical|tropical]]|Functions|Local computations|
 +|**''​[[.:​tropical#​star_at_vertex |star_at_vertex]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ C, [[.:​common#​Int |Int]] i)''​**|[[.:​tropical|tropical]]|Functions|Local computations|
 +|**''​[[.:​topaz#​star_deletion |star_deletion]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> face)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​topaz#​star_of_zero |star_of_zero]]([[.:​topaz:​GeometricSimplicialComplex |GeometricSimplicialComplex]] C)''​**|[[.:​topaz|topaz]]|Functions|Other|
 +|**''​[[.:​topaz#​star_shaped_balls |star_shaped_balls]]([[.:​topaz:​GeometricSimplicialComplex |GeometricSimplicialComplex]] P)''​**|[[.:​topaz|topaz]]|Functions|Other|
 +|**''​[[.:​common#​static |static]]([[.:​common:​Visual_Object |Visual::​Object]] vis_obj)''​**|[[.:​common|common]]|Functions|Visualization|
 +|**''​[[.:​polytope:​Visual_SchlegelDiagram#​STEINER |STEINER]]()''​**|[[.:​polytope|polytope]]|method of Visual::​SchlegelDiagram|no category|
 +|**''​[[.:​polytope:​Visual_Polytope#​STEINER |STEINER]]()''​**|[[.:​polytope|polytope]]|method of Visual::​Polytope|no category|
 +|**''​[[.:​polytope:​Polytope#​STEINER_POINT |STEINER_POINT]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope#​steiner_point |steiner_point]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Geometry|
 +|**''​[[.:​polytope:​Polytope#​STEINER_POINTS |STEINER_POINTS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope#​stellar_all_faces |stellar_all_faces]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​common#​Int |Int]] d)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​polytope#​stellar_indep_faces |stellar_indep_faces]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]%%>>​%% in_faces)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​topaz#​stellar_subdivision |stellar_subdivision]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex, [[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]%%>>​%% faces)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​topaz#​stellar_subdivision |stellar_subdivision]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> face)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​topaz:​SimplicialComplex#​STIEFEL_WHITNEY |STIEFEL_WHITNEY]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Topology|
 +|**''​[[.:​topaz#​stiefel_whitney |stiefel_whitney]]([[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]%%>>​%% facets)''​**|[[.:​topaz|topaz]]|Functions|Other|
 +|**''​[[.:​tropical#​stregular |stregular]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]>​ matrix)''​**|[[.:​tropical|tropical]]|Functions|Tropical operations|
 +|**''​[[.:​matroid:​Matroid#​STRICT_GAMMOID |STRICT_GAMMOID]]''​**|[[.:​matroid|matroid]]|method of Matroid|Advanced properties|
 +|**''​[[.:​common#​String |String]]''​**|[[.:​common|common]]|Property_types|Basic Types|
 +|**''​[[.:​graph:​Graph#​STRONG_COMPONENTS |STRONG_COMPONENTS]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​group:​PermutationAction#​STRONG_GENERATORS |STRONG_GENERATORS]]''​**|[[.:​group|group]]|property of PermutationAction|no category|
 +|**''​[[.:​graph:​Graph#​STRONGLY_CONNECTED |STRONGLY_CONNECTED]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​topaz:​Visual_SimplicialComplexLattice#​SUBCOMPLEX |SUBCOMPLEX]]([[.:​common#​String |String]] property)''​**|[[.:​topaz|topaz]]|method of Visual::​SimplicialComplexLattice|no category|
 +|**''​[[.:​topaz:​Visual_SimplicialComplex#​SUBCOMPLEX |SUBCOMPLEX]]([[.:​common#​String |String]] PROPERTY_NAME)''​**|[[.:​topaz|topaz]]|method of Visual::​SimplicialComplex|no category|
 +|**''​[[.:​polytope#​subcone |subcone]]([[.:​polytope:​Cone |Cone]] C)''​**|[[.:​polytope|polytope]]|Functions|Producing a cone|
 +|**''​[[.:​tropical#​subcramer |subcramer]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition,​Scalar%%>>​%% m, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> J, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> I)''​**|[[.:​tropical|tropical]]|Functions|Tropical operations|
 +|**''​[[.:​matroid:​ValuatedMatroid#​SUBDIVISION |SUBDIVISION]]''​**|[[.:​matroid|matroid]]|property of ValuatedMatroid|Combinatorics|
 +|**''​[[.:​fan:​SubdivisionOfPoints#​SubdivisionOfPoints |SubdivisionOfPoints]]<​Scalar>''​**|[[.:​fan|fan]]|Objects|Geometry|
 +|**''​[[.:​fan:​SubdivisionOfVectors#​SubdivisionOfVectors |SubdivisionOfVectors]]<​Scalar>''​**|[[.:​fan|fan]]|Objects|Geometry|
 +|**''​[[.:​polytope:​Polytope#​SUBRIDGE_SIZES |SUBRIDGE_SIZES]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​common#​UniPolynomial |substitute]]''​**|[[.:​common|common]]|method of UniPolynomial|no category|
 +|**''​[[.:​common#​Polynomial |substitute]]''​**|[[.:​common|common]]|method of Polynomial|no category|
 +|**''​[[.:​tropical#​sum_curves |sum_curves]]([[.:​tropical:​RationalCurve |RationalCurve]] An, [[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ v)''​**|[[.:​tropical|tropical]]|Functions|Abstract rational curves|
 +|**''​[[.:​common#​sum_of_square_roots_naive |sum_of_square_roots_naive]]([[.:​common#​Array |Array]]<​[[.:​common#​Rational |Rational]]>​ input_array)''​**|[[.:​common|common]]|Functions|Arithmetic|
 +|**''​[[.:​polytope:​PropagatedPolytope#​SUM_PRODUCT_GRAPH |SUM_PRODUCT_GRAPH]]''​**|[[.:​polytope|polytope]]|property of PropagatedPolytope|no category|
 +|**''​[[.:​topaz#​sum_triangulation |sum_triangulation]]([[.:​topaz:​GeometricSimplicialComplex |GeometricSimplicialComplex]] P, [[.:​topaz:​GeometricSimplicialComplex |GeometricSimplicialComplex]] Q, [[.:​common#​IncidenceMatrix |IncidenceMatrix]] WebOfStars)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​common#​support |support]]([[.:​common#​Vector |Vector]] v)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​fan:​HyperplaneArrangement#​SUPPORT |SUPPORT]]''​**|[[.:​fan|fan]]|property of HyperplaneArrangement|Input property|
 +|**''​[[.:​topaz:​SimplicialComplex#​SURFACE |SURFACE]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Topology|
 +|**''​[[.:​topaz#​surface |surface]]([[.:​common#​Int |Int]] g)''​**|[[.:​topaz|topaz]]|Functions|Producing from scratch|
 +|**''​[[.:​topaz#​suspension |suspension]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex, [[.:​common#​Int |Int]] k)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​common#​svg |svg]]([[.:​common:​Visual_Object |Visual::​Object]] vis_obj ...)''​**|[[.:​common|common]]|Functions|Visualization|
 +|**''​[[.:​group:​PermutationAction#​SWITCH_TABLE |SWITCH_TABLE]]''​**|[[.:​group|group]]|property of PermutationAction|Orbits|
 +|**''​[[.:​group#​SwitchTable |SwitchTable]]''​**|[[.:​group|group]]|Property_types|no category|
 +|**''​[[.:​common#​Symmetric |Symmetric]]''​**|[[.:​common|common]]|Property_types|Artificial|
 +|**''​[[.:​polytope:​Polytope#​SYMMETRIC_FACETS |SYMMETRIC_FACETS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Symmetry|
 +|**''​[[.:​group#​symmetric_group |symmetric_group]]([[.:​common#​Int |Int]] d)''​**|[[.:​group|group]]|Functions|Producing a group|
 +|**''​[[.:​polytope:​Polytope#​SYMMETRIC_RAYS |SYMMETRIC_RAYS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Symmetry|
 +|**''​[[.:​polytope:​Polytope#​SYMMETRIZED_COCIRCUIT_EQUATIONS |SYMMETRIZED_COCIRCUIT_EQUATIONS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Symmetry|
 +|**''​[[.:​polytope:​PointConfiguration#​SYMMETRIZED_COCIRCUIT_EQUATIONS |SYMMETRIZED_COCIRCUIT_EQUATIONS]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Symmetry|
 +|**''​[[.:​polytope#​symmetrized_cocircuit_equations |symmetrized_cocircuit_equations]]<​Scalar>​([[.:​polytope:​Cone |Cone]] P, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> comps)''​**|[[.:​polytope|polytope]]|Functions|Symmetry|
 +|**''​[[.:​polytope#​symmetrized_foldable_max_signature_ilp |symmetrized_foldable_max_signature_ilp]]([[.:​common#​Int |Int]] d, [[.:​common#​Matrix |Matrix]] points, [[.:​common#​Rational |Rational]] volume, [[.:​common#​Array |Array]]<​[[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]%%>>​%% generators, [[.:​common#​SparseMatrix |SparseMatrix]] symmetrized_foldable_cocircuit_equations)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope#​symmetrized_foldable_max_signature_upper_bound |symmetrized_foldable_max_signature_upper_bound]]([[.:​common#​Int |Int]] d, [[.:​common#​Matrix |Matrix]] points, [[.:​common#​Rational |Rational]] volume, [[.:​common#​SparseMatrix |SparseMatrix]] cocircuit_equations)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope:​SymmetrizedCocircuitEquations#​SymmetrizedCocircuitEquations |SymmetrizedCocircuitEquations]]''​**|[[.:​polytope|polytope]]|Objects|Symmetry|
 +|**''​[[.:​fan:​PolyhedralFan#​SYMMETRY_GENERATORS |SYMMETRY_GENERATORS]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​polytope:​QuotientSpace#​SYMMETRY_GROUP |SYMMETRY_GROUP]]''​**|[[.:​polytope|polytope]]|property of QuotientSpace|Combinatorics|
 +|**''​[[.:​fan:​PolyhedralFan#​SYMMETRY_GROUP |SYMMETRY_GROUP]]''​**|[[.:​fan|fan]]|property of PolyhedralFan|Symmetry|
 +|**''​[[.:​matroid#​t8_matroid |t8_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​core:​Core_BigObject#​take |take]]([[.:​common#​String |String]] property_name,​ Any value, [[.:​common#​Int |Int]] temp)''​**|[[.:​core|core]]|method of Core::​BigObject|no category|
 +|**''​[[.:​tropical#​tdehomog |tdehomog]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​Rational |Rational]]>​ A, [[.:​common#​Int |Int]] chart, [[.:​common#​Bool |Bool]] has_leading_coordinate)''​**|[[.:​tropical|tropical]]|Functions|Affine and projective coordinates|
 +|**''​[[.:​tropical#​tdet |tdet]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]>​ matrix)''​**|[[.:​tropical|tropical]]|Functions|Tropical operations|
 +|**''​[[.:​tropical#​tdet_and_perm |tdet_and_perm]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]>​ matrix)''​**|[[.:​tropical|tropical]]|Functions|Tropical operations|
 +|**''​[[.:​tropical#​tdet_and_perms |tdet_and_perms]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]>​ matrix)''​**|[[.:​tropical|tropical]]|Functions|Tropical operations|
 +|**''​[[.:​tropical#​tdiam |tdiam]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition,​Scalar%%>>​%% matrix)''​**|[[.:​tropical|tropical]]|Functions|Tropical operations|
 +|**''​[[.:​tropical#​tdist |tdist]]([[.:​common#​Vector |Vector]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition,​Scalar%%>>​%% v, [[.:​common#​Vector |Vector]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition,​Scalar%%>>​%% w)''​**|[[.:​tropical|tropical]]|Functions|Tropical operations|
 +|**''​[[.:​fulton:​TDivisor#​TDivisor |TDivisor]]''​**|[[.:​fulton|fulton]]|Objects|no category|
 +|**''​[[.:​polytope#​tensor |tensor]]([[.:​polytope:​Polytope |Polytope]] P1, [[.:​polytope:​Polytope |Polytope]] P2)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​polytope:​GroebnerBasis#​TERM_ORDER_MATRIX |TERM_ORDER_MATRIX]]''​**|[[.:​polytope|polytope]]|property of GroebnerBasis|no category|
 +|**''​[[.:​polytope:​GroebnerBasis#​TERM_ORDER_NAME |TERM_ORDER_NAME]]''​**|[[.:​polytope|polytope]]|property of GroebnerBasis|no category|
 +|**''​[[.:​polytope:​Polytope#​TERMINAL |TERMINAL]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​matroid:​Matroid#​TERNARY |TERNARY]]''​**|[[.:​matroid|matroid]]|property of Matroid|Realizability|
 +|**''​[[.:​matroid:​Matroid#​TERNARY_VECTORS |TERNARY_VECTORS]]''​**|[[.:​matroid|matroid]]|property of Matroid|Realizability|
 +|**''​[[.:​tropical#​testFourPointCondition |testFourPointCondition]]([[.:​common#​Vector |Vector]]<​[[.:​common#​Rational |Rational]]>​ v)''​**|[[.:​tropical|tropical]]|Functions|Abstract rational curves|
 +|**''​[[.:​polytope#​tetrahedron |tetrahedron]]()''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​common#​Text |Text]]''​**|[[.:​common|common]]|Property_types|Basic Types|
 +|**''​[[.:​tropical#​thomog |thomog]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​Rational |Rational]]>​ A, [[.:​common#​Int |Int]] chart, [[.:​common#​Bool |Bool]] has_leading_coordinate)''​**|[[.:​tropical|tropical]]|Functions|Affine and projective coordinates|
 +|**''​[[.:​fan#​thrackle_metric |thrackle_metric]]([[.:​common#​Int |Int]] n)''​**|[[.:​fan|fan]]|Functions|Finite metric spaces|
 +|**''​[[.:​common#​threejs |threejs]]([[.:​common:​Visual_Object |Visual::​Object]] vis_obj)''​**|[[.:​common|common]]|Functions|Visualization|
 +|**''​[[.:​fan:​SubdivisionOfPoints#​TIGHT_SPAN |TIGHT_SPAN]]''​**|[[.:​fan|fan]]|property of SubdivisionOfPoints|Geometry|
 +|**''​[[.:​polytope#​tight_span_envelope |tight_span_envelope]]([[.:​fan:​SubdivisionOfPoints |SubdivisionOfPoints]] sd)''​**|[[.:​polytope|polytope]]|Functions|Finite metric spaces|
 +|**''​[[.:​fan#​tight_span_max_metric |tight_span_max_metric]]([[.:​common#​Int |Int]] n)''​**|[[.:​fan|fan]]|Functions|Finite metric spaces|
 +|**''​[[.:​fan#​tight_span_min_metric |tight_span_min_metric]]([[.:​common#​Int |Int]] n)''​**|[[.:​fan|fan]]|Functions|Finite metric spaces|
 +|**''​[[.:​fan#​tight_span_thrackle_metric |tight_span_thrackle_metric]]([[.:​common#​Int |Int]] n)''​**|[[.:​fan|fan]]|Functions|Finite metric spaces|
 +|**''​[[.:​common#​tikz |tikz]]([[.:​common:​Visual_Object |Visual::​Object]] vis_obj)''​**|[[.:​common|common]]|Functions|Visualization|
 +|**''​[[.:​polytope:​Polytope#​TILING_LATTICE |TILING_LATTICE]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​fan#​tiling_quotient |tiling_quotient]]<​Coord>​([[.:​polytope:​Polytope |Polytope]] P, [[.:​polytope:​Polytope |Polytope]] Q)''​**|[[.:​fan|fan]]|Functions|Producing a polyhedral complex|
 +|**''​[[.:​common#​toMatrix |toMatrix]]<​Scalar>​([[.:​common#​IncidenceMatrix |IncidenceMatrix]] A)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​graph:​Lattice#​TOP_NODE |TOP_NODE]]''​**|[[.:​graph|graph]]|property of Lattice|Combinatorics|
 +|**''​[[.:​polytope#​topcom_all_triangulations |topcom_all_triangulations]]([[.:​polytope:​PointConfiguration |PointConfiguration]] pc)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope#​topcom_fine_and_connected_triangulations |topcom_fine_and_connected_triangulations]]([[.:​polytope:​PointConfiguration |PointConfiguration]] pc)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope#​topcom_input_format |topcom_input_format]]([[.:​polytope:​Cone |Cone]] P)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope#​topcom_regular_and_connected_triangulations |topcom_regular_and_connected_triangulations]]([[.:​polytope:​PointConfiguration |PointConfiguration]] pc)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope:​Cone#​TORIC_IDEAL |TORIC_IDEAL]]''​**|[[.:​polytope|polytope]]|property of Cone|Algebraic Geometry|
 +|**''​[[.:​topaz#​HomologyGroup |torsion]]()''​**|[[.:​topaz|topaz]]|method of HomologyGroup|no category|
 +|**''​[[.:​common#​SmithNormalForm |torsion]]()''​**|[[.:​common|common]]|method of SmithNormalForm|no category|
 +|**''​[[.:​topaz#​torus |torus]]()''​**|[[.:​topaz|topaz]]|Functions|Producing from scratch|
 +|**''​[[.:​tropical:​Polytope#​TORUS_COVECTOR_DECOMPOSITION |TORUS_COVECTOR_DECOMPOSITION]]''​**|[[.:​tropical|tropical]]|property of Polytope|Combinatorics|
 +|**''​[[.:​tropical:​Polytope#​torus_subdivision_as_complex |torus_subdivision_as_complex]]([[.:​common#​Int |Int]] chart)''​**|[[.:​tropical|tropical]]|method of Polytope|Geometry|
 +|**''​[[.:​polytope:​Polytope#​TOTAL_LENGTH |TOTAL_LENGTH]]''​**|[[.:​polytope|polytope]]|property of Polytope|no category|
 +|**''​[[.:​fulton:​VersalComponent#​TOTAL_SPACE |TOTAL_SPACE]]''​**|[[.:​fulton|fulton]]|property of VersalComponent|Algebraic Geometry|
 +|**''​[[.:​polytope#​totally_dual_integral |totally_dual_integral]]([[.:​common#​Matrix |Matrix]] inequalities)''​**|[[.:​polytope|polytope]]|Functions|Optimization|
 +|**''​[[.:​common#​totally_unimodular |totally_unimodular]]([[.:​common#​Matrix |Matrix]] A)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​common#​toTropicalPolynomial |toTropicalPolynomial]]([[.:​common#​String |String]] s, [[.:​common#​String |String]] vars)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​common#​toVector |toVector]]<​Scalar>​([[.:​common#​Set |Set]] S, [[.:​common#​Int |Int]] d)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​polytope:​Polytope#​TOWARDS_FAR_FACE |TOWARDS_FAR_FACE]]''​**|[[.:​polytope|polytope]]|property of Polytope|Unbounded polyhedra|
 +|**''​[[.:​common#​trace |trace]]([[.:​common#​Matrix |Matrix]] A)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​polytope:​SchlegelDiagram#​TRANSFORM |TRANSFORM]]''​**|[[.:​polytope|polytope]]|property of SchlegelDiagram|no category|
 +|**''​[[.:​polytope#​transform |transform]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​common#​Matrix |Matrix]] trans, [[.:​common#​Bool |Bool]] store)''​**|[[.:​polytope|polytope]]|Functions|Transformations|
 +|**''​[[.:​polytope#​translate |translate]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​common#​Vector |Vector]] trans, [[.:​common#​Bool |Bool]] store)''​**|[[.:​polytope|polytope]]|Functions|Transformations|
 +|**''​[[.:​tropical:​Morphism#​TRANSLATE |TRANSLATE]]''​**|[[.:​tropical|tropical]]|property of Morphism|Defining morphisms and functions|
 +|**''​[[.:​polytope:​PropagatedPolytope#​TRANSLATIONS |TRANSLATIONS]]''​**|[[.:​polytope|polytope]]|property of PropagatedPolytope|no category|
 +|**''​[[.:​polytope#​transportation |transportation]]([[.:​common#​Vector |Vector]] r, [[.:​common#​Vector |Vector]] c)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​common#​transpose |transpose]]([[.:​common#​IncidenceMatrix |IncidenceMatrix]] A)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​common#​transpose |transpose]]([[.:​common#​Matrix |Matrix]] A)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​matroid:​Matroid#​TRANSVERSAL |TRANSVERSAL]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​matroid:​Matroid#​TRANSVERSAL_PRESENTATION |TRANSVERSAL_PRESENTATION]]''​**|[[.:​matroid|matroid]]|property of Matroid|Input properties|
 +|**''​[[.:​group:​PermutationAction#​TRANSVERSAL_SIZES |TRANSVERSAL_SIZES]]''​**|[[.:​group|group]]|property of PermutationAction|no category|
 +|**''​[[.:​group:​PermutationAction#​TRANSVERSALS |TRANSVERSALS]]''​**|[[.:​group|group]]|property of PermutationAction|no category|
 +|**''​[[.:​tropical#​tregular |tregular]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]>​ matrix)''​**|[[.:​tropical|tropical]]|Functions|Tropical operations|
 +|**''​[[.:​topaz#​triang_neighborhood |triang_neighborhood]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex, [[.:​common#​Rational |Rational]] width)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​polytope:​Cone#​TRIANGLE_FREE |TRIANGLE_FREE]]()''​**|[[.:​polytope|polytope]]|method of Cone|Backward compatibility|
 +|**''​[[.:​graph:​Graph#​TRIANGLE_FREE |TRIANGLE_FREE]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​fulton:​VersalComponent#​TRIANGLES |TRIANGLES]]''​**|[[.:​fulton|fulton]]|property of VersalComponent|Combinatorics|
 +|**''​[[.:​tropical#​triangulate_cycle |triangulate_cycle]]([[.:​tropical:​Cycle |Cycle]]<​Addition>​ F)''​**|[[.:​tropical|tropical]]|Functions|Basic polyhedral operations|
 +|**''​[[.:​polytope:​Polytope#​TRIANGULATION |TRIANGULATION]]''​**|[[.:​polytope|polytope]]|property of Polytope|Triangulation and volume|
 +|**''​[[.:​polytope:​Cone#​TRIANGULATION |TRIANGULATION]]''​**|[[.:​polytope|polytope]]|property of Cone|Triangulation and volume|
 +|**''​[[.:​polytope:​PointConfiguration#​TRIANGULATION |TRIANGULATION]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Triangulation and volume|
 +|**''​[[.:​polytope:​Visual_PointConfiguration#​TRIANGULATION |TRIANGULATION]]([[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]%%>>​%% t)''​**|[[.:​polytope|polytope]]|method of Visual::​PointConfiguration|no category|
 +|**''​[[.:​polytope:​Visual_Polytope#​TRIANGULATION |TRIANGULATION]]([[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]%%>>​%% t)''​**|[[.:​polytope|polytope]]|method of Visual::​Polytope|no category|
 +|**''​[[.:​polytope:​Visual_SchlegelDiagram#​TRIANGULATION_BOUNDARY |TRIANGULATION_BOUNDARY]]()''​**|[[.:​polytope|polytope]]|method of Visual::​SchlegelDiagram|no category|
 +|**''​[[.:​polytope:​Visual_Polytope#​TRIANGULATION_BOUNDARY |TRIANGULATION_BOUNDARY]]()''​**|[[.:​polytope|polytope]]|method of Visual::​Polytope|no category|
 +|**''​[[.:​polytope:​Visual_SchlegelDiagram#​TRIANGULATION_BOUNDARY_SOLID |TRIANGULATION_BOUNDARY_SOLID]]()''​**|[[.:​polytope|polytope]]|method of Visual::​SchlegelDiagram|no category|
 +|**''​[[.:​polytope:​Cone#​TRIANGULATION_INT |TRIANGULATION_INT]]''​**|[[.:​polytope|polytope]]|property of Cone|Triangulation and volume|
 +|**''​[[.:​polytope:​Polytope#​TRIANGULATION_INT_SIGNS |TRIANGULATION_INT_SIGNS]]()''​**|[[.:​polytope|polytope]]|method of Polytope|Triangulation and volume|
 +|**''​[[.:​common#​Polynomial |trivial]]()''​**|[[.:​common|common]]|method of Polynomial|no category|
 +|**''​[[.:​polytope:​Cone#​TRIVIAL |TRIVIAL]]''​**|[[.:​polytope|polytope]]|property of Cone|Geometry|
 +|**''​[[.:​matroid#​trivial_valuation |trivial_valuation]]<​Addition,​ Scalar>​([[.:​matroid:​Matroid |Matroid]] M)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from matroids|
 +|**''​[[.:​tropical#​trop_witness |trop_witness]]<​Addition,​ Scalar>​([[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition,​Scalar%%>>​%% m, [[.:​common#​Array |Array]]<​[[.:​common#​Int ​ |Int ]]> t, [[.:​common#​Int |Int]] start)''​**|[[.:​tropical|tropical]]|Functions|Tropical operations|
 +|**''​[[.:​tropical#​trop_witness |trop_witness]]<​Addition,​ Scalar>​([[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition,​Scalar%%>>​%% m, [[.:​common#​Array |Array]]<​[[.:​common#​Int ​ |Int ]]> t, [[.:​common#​Int |Int]] start)''​**|[[.:​tropical|tropical]]|Functions|Tropical operations|
 +|**''​[[.:​common#​TropicalNumber |TropicalNumber]]<​Addition,​ Scalar>''​**|[[.:​common|common]]|Property_types|Arithmetic|
 +|**''​[[.:​tropical:​TropicalRationalFunction#​TropicalRationalFunction |TropicalRationalFunction]]<​Addition>''​**|[[.:​tropical|tropical]]|Objects|no category|
 +|**''​[[.:​polytope#​truncated_cube |truncated_cube]]()''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​polytope#​truncated_cuboctahedron |truncated_cuboctahedron]]()''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​polytope#​truncated_dodecahedron |truncated_dodecahedron]]()''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​polytope#​truncated_icosahedron |truncated_icosahedron]]()''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​polytope#​truncated_icosidodecahedron |truncated_icosidodecahedron]]()''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​polytope#​truncated_octahedron |truncated_octahedron]]()''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​polytope#​truncated_orbit_polytope |truncated_orbit_polytope]]([[.:​polytope:​Polytope |Polytope]] P, Scalar eps)''​**|[[.:​polytope|polytope]]|Functions|Symmetry|
 +|**''​[[.:​matroid#​truncation |truncation]]([[.:​matroid:​Matroid |Matroid]] M)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from matroids|
 +|**''​[[.:​polytope#​truncation |truncation]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> trunc_vertices)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​tropical#​tsgn |tsgn]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​TropicalNumber |TropicalNumber]]>​ matrix)''​**|[[.:​tropical|tropical]]|Functions|Tropical operations|
 +|**''​[[.:​fan#​tubes_of_graph |tubes_of_graph]]([[.:​graph:​Graph |Graph]] G)''​**|[[.:​fan|fan]]|Functions|Other|
 +|**''​[[.:​fan#​tubes_of_tubing |tubes_of_tubing]]([[.:​graph:​Graph |Graph]] G, [[.:​graph:​Graph |Graph]] T)''​**|[[.:​fan|fan]]|Functions|Other|
 +|**''​[[.:​fan#​tubing_of_graph |tubing_of_graph]]([[.:​graph:​Graph |Graph]] G)''​**|[[.:​fan|fan]]|Functions|Other|
 +|**''​[[.:​polytope#​tutte_lifting |tutte_lifting]]([[.:​graph:​Graph |Graph]] G)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from graphs|
 +|**''​[[.:​matroid:​Matroid#​TUTTE_POLYNOMIAL |TUTTE_POLYNOMIAL]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​polytope:​Polytope#​TWO_FACE_SIZES |TWO_FACE_SIZES]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​matroid#​two_sum |two_sum]]([[.:​matroid:​Matroid |Matroid]] m_1, [[.:​common#​Int |Int]] e_1, [[.:​matroid:​Matroid |Matroid]] m_2, [[.:​common#​Int |Int]] e_2)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from matroids|
 +|**''​[[.:​core:​Core_BigObject#​type |type]]''​**|[[.:​core|core]]|method of Core::​BigObject|no category|
 +|**''​[[.:​tropical:​Cycle#​UNBALANCED_FACES |UNBALANCED_FACES]]''​**|[[.:​tropical|tropical]]|property of Cycle|Weights and lattices|
 +|**''​[[.:​polytope:​Polytope#​UNBOUNDED_FACETS |UNBOUNDED_FACETS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Unbounded polyhedra|
 +|**''​[[.:​core#​unconfigure |unconfigure]]([[.:​common#​String |String]] rulename)''​**|[[.:​core|core]]|Functions|Interactive|
 +|**''​[[.:​common#​Undirected |Undirected]]''​**|[[.:​common|common]]|Property_types|Artificial|
 +|**''​[[.:​common#​UndirectedMulti |UndirectedMulti]]''​**|[[.:​common|common]]|Property_types|Artificial|
 +|**''​[[.:​matroid:​Matroid#​UNIFORM |UNIFORM]]''​**|[[.:​matroid|matroid]]|property of Matroid|Advanced properties|
 +|**''​[[.:​tropical#​uniform_linear_space |uniform_linear_space]]<​Addition>​([[.:​common#​Int |Int]] n, [[.:​common#​Int |Int]] k, [[.:​common#​Integer |Integer]] weight)''​**|[[.:​tropical|tropical]]|Functions|Creation functions for specific cycles|
 +|**''​[[.:​matroid#​uniform_matroid |uniform_matroid]]([[.:​common#​Int |Int]] r, [[.:​common#​Int |Int]] n)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​topaz:​GeometricSimplicialComplex#​UNIMODULAR |UNIMODULAR]]''​**|[[.:​topaz|topaz]]|property of GeometricSimplicialComplex|no category|
 +|**''​[[.:​fan:​SubdivisionOfPoints#​UNIMODULAR |UNIMODULAR]]''​**|[[.:​fan|fan]]|property of SubdivisionOfPoints|Geometry|
 +|**''​[[.:​matroid#​union |union]]([[.:​matroid:​Matroid |Matroid]] M)''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from matroids|
 +|**''​[[.:​topaz#​union |union]]([[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex1, [[.:​topaz:​SimplicialComplex |SimplicialComplex]] complex2)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​common#​UniPolynomial |UniPolynomial]]<​Coefficient,​ Exponent>''​**|[[.:​common|common]]|Property_types|Algebraic Types|
 +|**''​[[.:​polytope#​unirand |unirand]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​common#​Int |Int]] n)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​common#​unit_matrix |unit_matrix]]<​Element>​([[.:​common#​Int |Int]] d)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​common#​unit_vector |unit_vector]]<​Element>​([[.:​common#​Int |Int]] d, [[.:​common#​Int |Int]] pos)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​polytope#​universal_polytope |universal_polytope]]<​Scalar>​([[.:​polytope:​PointConfiguration |PointConfiguration]]<​Scalar>​ PC)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope#​universal_polytope |universal_polytope]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​polytope#​universal_polytope |universal_polytope]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]> reps, [[.:​common#​SparseMatrix |SparseMatrix]] cocircuit_equations)''​**|[[.:​polytope|polytope]]|Functions|Triangulations,​ subdivisions and volume|
 +|**''​[[.:​topaz#​unknot |unknot]]([[.:​common#​Int |Int]] m, [[.:​common#​Int |Int]] n)''​**|[[.:​topaz|topaz]]|Functions|Producing from scratch|
 +|**''​[[.:​polytope#​upper_bound_theorem |upper_bound_theorem]]([[.:​common#​Int |Int]] d, [[.:​common#​Int |Int]] n)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​common#​PuiseuxFraction |val]]()''​**|[[.:​common|common]]|method of PuiseuxFraction|no category|
 +|**''​[[.:​polytope:​Polytope#​VALID_POINT |VALID_POINT]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​tropical:​Polytope#​VALID_POINT |VALID_POINT]]''​**|[[.:​tropical|tropical]]|property of Polytope|Geometry|
 +|**''​[[.:​core:​Schema#​validate |validate]](Any primitive)''​**|[[.:​core|core]]|method of Schema|no category|
 +|**''​[[.:​polytope#​validate_moebius_strip |validate_moebius_strip]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Consistency check|
 +|**''​[[.:​polytope#​validate_moebius_strip_quads |validate_moebius_strip_quads]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Consistency check|
 +|**''​[[.:​core:​Schema#​validate_self |validate_self]]()''​**|[[.:​core|core]]|method of Schema|no category|
 +|**''​[[.:​matroid:​ValuatedMatroid#​ValuatedMatroid |ValuatedMatroid]]<​Addition,​ Scalar>''​**|[[.:​matroid|matroid]]|Objects|no category|
 +|**''​[[.:​matroid:​ValuatedMatroid#​VALUATION_ON_BASES |VALUATION_ON_BASES]]''​**|[[.:​matroid|matroid]]|property of ValuatedMatroid|Valuation|
 +|**''​[[.:​matroid:​ValuatedMatroid#​VALUATION_ON_CIRCUITS |VALUATION_ON_CIRCUITS]]''​**|[[.:​matroid|matroid]]|property of ValuatedMatroid|Valuation|
 +|**''​[[.:​matroid#​vamos_matroid |vamos_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​common#​Vector |Vector]]<​Element>''​**|[[.:​common|common]]|Property_types|Algebraic Types|
 +|**''​[[.:​common#​vector2col |vector2col]]([[.:​common#​Vector |Vector]] v)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​common#​vector2row |vector2row]]([[.:​common#​Vector |Vector]] v)''​**|[[.:​common|common]]|Functions|Data Conversion|
 +|**''​[[.:​group:​Group#​VECTOR_ACTION |VECTOR_ACTION]]''​**|[[.:​group|group]]|property of Group|Symmetry|
 +|**''​[[.:​polytope:​VectorConfiguration#​VECTOR_AMBIENT_DIM |VECTOR_AMBIENT_DIM]]''​**|[[.:​polytope|polytope]]|property of VectorConfiguration|Geometry|
 +|**''​[[.:​fan:​SubdivisionOfVectors#​VECTOR_AMBIENT_DIM |VECTOR_AMBIENT_DIM]]''​**|[[.:​fan|fan]]|property of SubdivisionOfVectors|Geometry|
 +|**''​[[.:​polytope:​VectorConfiguration#​VECTOR_DIM |VECTOR_DIM]]''​**|[[.:​polytope|polytope]]|property of VectorConfiguration|Geometry|
 +|**''​[[.:​fan:​SubdivisionOfVectors#​VECTOR_DIM |VECTOR_DIM]]''​**|[[.:​fan|fan]]|property of SubdivisionOfVectors|Geometry|
 +|**''​[[.:​polytope:​VectorConfiguration#​VectorConfiguration |VectorConfiguration]]<​Scalar>''​**|[[.:​polytope|polytope]]|Objects|Geometry|
 +|**''​[[.:​matroid:​Matroid#​VECTORS |VECTORS]]''​**|[[.:​matroid|matroid]]|property of Matroid|Realizability|
 +|**''​[[.:​polytope:​VectorConfiguration#​VECTORS |VECTORS]]''​**|[[.:​polytope|polytope]]|property of VectorConfiguration|Input property|
 +|**''​[[.:​fan:​SubdivisionOfVectors#​VECTORS |VECTORS]]''​**|[[.:​fan|fan]]|property of SubdivisionOfVectors|Geometry|
 +|**''​[[.:​group:​MatrixActionOnVectors#​VECTORS_ORBITS |VECTORS_ORBITS]]''​**|[[.:​group|group]]|property of MatrixActionOnVectors|Symmetry|
 +|**''​[[.:​fulton:​CyclicQuotient#​VERSAL_COMPONENT |VERSAL_COMPONENT]]''​**|[[.:​fulton|fulton]]|property of CyclicQuotient|Algebraic Geometry|
 +|**''​[[.:​fulton:​CyclicQuotient#​VERSAL_COMPONENTS |VERSAL_COMPONENTS]]''​**|[[.:​fulton|fulton]]|property of CyclicQuotient|Algebraic Geometry|
 +|**''​[[.:​fulton:​VersalComponent#​VersalComponent |VersalComponent]]''​**|[[.:​fulton|fulton]]|Objects|no category|
 +|**''​[[.:​polytope:​Polytope#​VERTEX_BARYCENTER |VERTEX_BARYCENTER]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​Visual_SchlegelDiagram#​VERTEX_COLORS |VERTEX_COLORS]]([[.:​polytope:​LinearProgram |LinearProgram]] lp)''​**|[[.:​polytope|polytope]]|method of Visual::​SchlegelDiagram|no category|
 +|**''​[[.:​polytope:​Visual_PolytopeGraph#​VERTEX_COLORS |VERTEX_COLORS]]([[.:​polytope:​LinearProgram |LinearProgram]] lp)''​**|[[.:​polytope|polytope]]|method of Visual::​PolytopeGraph|no category|
 +|**''​[[.:​polytope:​Visual_Polytope#​VERTEX_COLORS |VERTEX_COLORS]]([[.:​polytope:​LinearProgram |LinearProgram]] lp)''​**|[[.:​polytope|polytope]]|method of Visual::​Polytope|no category|
 +|**''​[[.:​polytope#​vertex_colors |vertex_colors]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​polytope:​LinearProgram |LinearProgram]] LP)''​**|[[.:​polytope|polytope]]|Functions|Optimization|
 +|**''​[[.:​topaz:​SimplicialComplex#​VERTEX_DEGREES |VERTEX_DEGREES]]()''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|Combinatorics|
 +|**''​[[.:​polytope:​Cone#​VERTEX_DEGREES |VERTEX_DEGREES]]()''​**|[[.:​polytope|polytope]]|method of Cone|Combinatorics|
 +|**''​[[.:​polytope#​vertex_figure |vertex_figure]]([[.:​polytope:​Polytope |Polytope]] p, [[.:​common#​Int |Int]] n)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​polytope:​LinearProgram#​VERTEX_IN_DEGREES |VERTEX_IN_DEGREES]]()''​**|[[.:​polytope|polytope]]|method of LinearProgram|no category|
 +|**''​[[.:​topaz:​SimplicialComplex#​VERTEX_INDICES |VERTEX_INDICES]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Combinatorics|
 +|**''​[[.:​topaz:​SimplicialComplex#​VERTEX_LABELS |VERTEX_LABELS]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Visualization|
 +|**''​[[.:​polytope:​Polytope#​VERTEX_LABELS |VERTEX_LABELS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Visualization|
 +|**''​[[.:​fan:​PolyhedralComplex#​VERTEX_LABELS |VERTEX_LABELS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Visualization|
 +|**''​[[.:​polytope#​vertex_lattice_normalization |vertex_lattice_normalization]]([[.:​polytope:​Polytope |Polytope]] p)''​**|[[.:​polytope|polytope]]|Functions|Transformations|
 +|**''​[[.:​topaz:​SimplicialComplex#​VERTEX_MAP |VERTEX_MAP]]''​**|[[.:​topaz|topaz]]|property of SimplicialComplex|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​VERTEX_MAP |VERTEX_MAP]]''​**|[[.:​polytope|polytope]]|property of Polytope|Unbounded polyhedra|
 +|**''​[[.:​polytope:​Polytope#​VERTEX_NORMALS |VERTEX_NORMALS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​LinearProgram#​VERTEX_OUT_DEGREES |VERTEX_OUT_DEGREES]]()''​**|[[.:​polytope|polytope]]|method of LinearProgram|no category|
 +|**''​[[.:​polytope:​PointConfiguration#​VERTEX_POINT_MAP |VERTEX_POINT_MAP]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Geometry|
 +|**''​[[.:​polytope:​PointConfiguration#​VERTEX_POINT_MAP |VERTEX_POINT_MAP]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|no category|
 +|**''​[[.:​polytope:​Polytope#​VERTEX_SIZES |VERTEX_SIZES]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​tropical:​TropicalRationalFunction#​VERTEX_VALUES |VERTEX_VALUES]]''​**|[[.:​tropical|tropical]]|property of TropicalRationalFunction|Defining morphisms and functions|
 +|**''​[[.:​tropical:​Morphism#​VERTEX_VALUES |VERTEX_VALUES]]''​**|[[.:​tropical|tropical]]|property of Morphism|Defining morphisms and functions|
 +|**''​[[.:​polytope:​Polytope#​VERTICES |VERTICES]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​SchlegelDiagram#​VERTICES |VERTICES]]''​**|[[.:​polytope|polytope]]|property of SchlegelDiagram|no category|
 +|**''​[[.:​fan:​PolyhedralComplex#​VERTICES |VERTICES]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Geometry|
 +|**''​[[.:​tropical:​Polytope#​VERTICES |VERTICES]]''​**|[[.:​tropical|tropical]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​Polytope#​VERTICES_ACTION |VERTICES_ACTION]]''​**|[[.:​polytope|polytope]]|property of Polytope|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​VERTICES_ACTION |VERTICES_ACTION]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​polytope:​Polytope#​VERTICES_GENERATORS |VERTICES_GENERATORS]]''​**|[[.:​polytope|polytope]]|property of Polytope|no category|
 +|**''​[[.:​fan:​PolyhedralComplex#​VERTICES_GENERATORS |VERTICES_GENERATORS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​VERTICES_GENERATORS |VERTICES_GENERATORS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​VERTICES_GENERATORS |VERTICES_GENERATORS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​VERTICES_IMAGES |VERTICES_IMAGES]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​polytope:​Polytope#​VERTICES_IN_FACETS |VERTICES_IN_FACETS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Combinatorics|
 +|**''​[[.:​polytope:​Polytope#​VERTICES_IN_INEQUALITIES |VERTICES_IN_INEQUALITIES]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​fan:​PolyhedralComplex#​VERTICES_IN_ORBITS |VERTICES_IN_ORBITS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​tropical:​Polytope#​VERTICES_IN_POINTS |VERTICES_IN_POINTS]]''​**|[[.:​tropical|tropical]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope:​Polytope#​VERTICES_IN_RIDGES |VERTICES_IN_RIDGES]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​fan:​PolyhedralComplex#​VERTICES_ORBIT_SIZES |VERTICES_ORBIT_SIZES]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​polytope:​Polytope#​VERTICES_ORBITS |VERTICES_ORBITS]]''​**|[[.:​polytope|polytope]]|property of Polytope|no category|
 +|**''​[[.:​fan:​PolyhedralComplex#​VERTICES_REPS |VERTICES_REPS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​fan:​PolyhedralComplex#​VERTICES_REPS_LABELS |VERTICES_REPS_LABELS]]''​**|[[.:​fan|fan]]|property of PolyhedralComplex|Symmetry|
 +|**''​[[.:​fulton:​TDivisor#​VERY_AMPLE |VERY_AMPLE]]''​**|[[.:​fulton|fulton]]|property of TDivisor|Algebraic Geometry|
 +|**''​[[.:​polytope:​Polytope#​VERY_AMPLE |VERY_AMPLE]]''​**|[[.:​polytope|polytope]]|property of Polytope|Lattice points in cones|
 +|**''​[[.:​fan:​PlanarNet#​VF_MAP |VF_MAP]]''​**|[[.:​fan|fan]]|property of PlanarNet|Combinatorics|
 +|**''​[[.:​fan:​PlanarNet#​VF_MAP_INV |VF_MAP_INV]]''​**|[[.:​fan|fan]]|property of PlanarNet|Combinatorics|
 +|**''​[[.:​topaz#​vietoris_rips_complex |vietoris_rips_complex]]([[.:​common#​Matrix |Matrix]] D, [[.:​common#​Rational |Rational]] delta)''​**|[[.:​topaz|topaz]]|Functions|Producing a simplicial complex from other objects|
 +|**''​[[.:​topaz#​vietoris_rips_filtration |vietoris_rips_filtration]]<​Coeff>​([[.:​common#​Matrix |Matrix]] D, [[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]> deg, [[.:​common#​Float |Float]] step_size, [[.:​common#​Int |Int]] k)''​**|[[.:​topaz|topaz]]|Functions|Other|
 +|**''​[[.:​polytope:​SchlegelDiagram#​VIEWPOINT |VIEWPOINT]]''​**|[[.:​polytope|polytope]]|property of SchlegelDiagram|no category|
 +|**''​[[.:​polytope:​Polytope#​VIF_CYCLIC_NORMAL |VIF_CYCLIC_NORMAL]]''​**|[[.:​polytope|polytope]]|property of Polytope|Visualization|
 +|**''​[[.:​fan:​PlanarNet#​VIF_CYCLIC_NORMAL |VIF_CYCLIC_NORMAL]]''​**|[[.:​fan|fan]]|property of PlanarNet|Combinatorics|
 +|**''​[[.:​polytope#​violations |violations]]([[.:​polytope:​Cone |Cone]] P, [[.:​common#​Vector |Vector]] q)''​**|[[.:​polytope|polytope]]|Functions|Geometry|
 +|**''​[[.:​polytope#​visible_face_indices |visible_face_indices]]([[.:​polytope:​Cone |Cone]] P, [[.:​common#​Vector |Vector]] q)''​**|[[.:​polytope|polytope]]|Functions|Geometry|
 +|**''​[[.:​polytope#​visible_facet_indices |visible_facet_indices]]([[.:​polytope:​Cone |Cone]] P, [[.:​common#​Vector |Vector]] q)''​**|[[.:​polytope|polytope]]|Functions|Geometry|
 +|**''​[[.:​topaz:​GeometricSimplicialComplex#​VISUAL |VISUAL]]()''​**|[[.:​topaz|topaz]]|method of GeometricSimplicialComplex|no category|
 +|**''​[[.:​topaz:​SimplicialComplex#​VISUAL |VISUAL]]()''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|Visualization|
 +|**''​[[.:​polytope:​Polytope#​VISUAL |VISUAL]]()''​**|[[.:​polytope|polytope]]|method of Polytope|Visualization|
 +|**''​[[.:​polytope:​SchlegelDiagram#​VISUAL |VISUAL]]()''​**|[[.:​polytope|polytope]]|method of SchlegelDiagram|no category|
 +|**''​[[.:​polytope:​Cone#​VISUAL |VISUAL]]()''​**|[[.:​polytope|polytope]]|method of Cone|Visualization|
 +|**''​[[.:​polytope:​PointConfiguration#​VISUAL |VISUAL]]()''​**|[[.:​polytope|polytope]]|method of PointConfiguration|Visualization|
 +|**''​[[.:​polytope:​VectorConfiguration#​VISUAL |VISUAL]]()''​**|[[.:​polytope|polytope]]|method of VectorConfiguration|Visualization|
 +|**''​[[.:​fan:​PolyhedralComplex#​VISUAL |VISUAL]]()''​**|[[.:​fan|fan]]|method of PolyhedralComplex|no category|
 +|**''​[[.:​fan:​PlanarNet#​VISUAL |VISUAL]]()''​**|[[.:​fan|fan]]|method of PlanarNet|Visualization|
 +|**''​[[.:​fan:​PolyhedralFan#​VISUAL |VISUAL]]()''​**|[[.:​fan|fan]]|method of PolyhedralFan|Visualization|
 +|**''​[[.:​fan:​HyperplaneArrangement#​VISUAL |VISUAL]]()''​**|[[.:​fan|fan]]|method of HyperplaneArrangement|Visualization|
 +|**''​[[.:​fan:​SubdivisionOfPoints#​VISUAL |VISUAL]]()''​**|[[.:​fan|fan]]|method of SubdivisionOfPoints|Visualization|
 +|**''​[[.:​tropical:​VoronoiDiagram#​VISUAL |VISUAL]]''​**|[[.:​tropical|tropical]]|method of VoronoiDiagram|no category|
 +|**''​[[.:​tropical:​Cycle#​VISUAL |VISUAL]]()''​**|[[.:​tropical|tropical]]|method of Cycle|Visualization|
 +|**''​[[.:​tropical:​TropicalRationalFunction#​VISUAL |VISUAL]]()''​**|[[.:​tropical|tropical]]|method of TropicalRationalFunction|Visualization|
 +|**''​[[.:​tropical:​Morphism#​VISUAL |VISUAL]]()''​**|[[.:​tropical|tropical]]|method of Morphism|Visualization|
 +|**''​[[.:​tropical:​Polytope#​VISUAL |VISUAL]]()''​**|[[.:​tropical|tropical]]|method of Polytope|Visualization|
 +|**''​[[.:​tropical:​RationalCurve#​VISUAL |VISUAL]]()''​**|[[.:​tropical|tropical]]|method of RationalCurve|Visualization|
 +|**''​[[.:​tropical:​CovectorLattice#​VISUAL |VISUAL]]''​**|[[.:​tropical|tropical]]|method of CovectorLattice|Visualization|
 +|**''​[[.:​graph:​Lattice#​VISUAL |VISUAL]]()''​**|[[.:​graph|graph]]|method of Lattice|Visualization|
 +|**''​[[.:​graph:​Graph#​VISUAL |VISUAL]]()''​**|[[.:​graph|graph]]|method of Graph|Visualization|
 +|**''​[[.:​polytope:​Visual_Cone#​Visual::​Cone |Visual::​Cone]]''​**|[[.:​polytope|polytope]]|Objects|Visualization|
 +|**''​[[.:​common:​Visual_Container#​Visual::​Container |Visual::​Container]]''​**|[[.:​common|common]]|Objects|Visualization|
 +|**''​[[.:​polytope:​Visual_Gale#​Visual::​Gale |Visual::​Gale]]''​**|[[.:​polytope|polytope]]|Objects|Visualization|
 +|**''​[[.:​graph:​Visual_Graph#​Visual::​Graph |Visual::​Graph]]''​**|[[.:​graph|graph]]|Objects|Visualization|
 +|**''​[[.:​graph:​Visual_Lattice#​Visual::​Lattice |Visual::​Lattice]]''​**|[[.:​graph|graph]]|Objects|Visualization|
 +|**''​[[.:​common:​Visual_Object#​Visual::​Object |Visual::​Object]]''​**|[[.:​common|common]]|Objects|Visualization|
 +|**''​[[.:​fan:​Visual_PlanarNet#​Visual::​PlanarNet |Visual::​PlanarNet]]''​**|[[.:​fan|fan]]|Objects|Visualization|
 +|**''​[[.:​polytope:​Visual_PointConfiguration#​Visual::​PointConfiguration |Visual::​PointConfiguration]]''​**|[[.:​polytope|polytope]]|Objects|Visualization|
 +|**''​[[.:​fan:​Visual_PolyhedralFan#​Visual::​PolyhedralFan |Visual::​PolyhedralFan]]''​**|[[.:​fan|fan]]|Objects|Visualization|
 +|**''​[[.:​polytope:​Visual_Polytope#​Visual::​Polytope |Visual::​Polytope]]''​**|[[.:​polytope|polytope]]|Objects|Visualization|
 +|**''​[[.:​polytope:​Visual_PolytopeGraph#​Visual::​PolytopeGraph |Visual::​PolytopeGraph]]''​**|[[.:​polytope|polytope]]|Objects|Visualization|
 +|**''​[[.:​polytope:​Visual_PolytopeLattice#​Visual::​PolytopeLattice |Visual::​PolytopeLattice]]''​**|[[.:​polytope|polytope]]|Objects|Visualization|
 +|**''​[[.:​polytope:​Visual_SchlegelDiagram#​Visual::​SchlegelDiagram |Visual::​SchlegelDiagram]]''​**|[[.:​polytope|polytope]]|Objects|Visualization|
 +|**''​[[.:​topaz:​Visual_SimplicialComplex#​Visual::​SimplicialComplex |Visual::​SimplicialComplex]]''​**|[[.:​topaz|topaz]]|Objects|no category|
 +|**''​[[.:​topaz:​Visual_SimplicialComplexLattice#​Visual::​SimplicialComplexLattice |Visual::​SimplicialComplexLattice]]''​**|[[.:​topaz|topaz]]|Objects|no category|
 +|**''​[[.:​polytope:​Polytope#​VISUAL_BOUNDED_GRAPH |VISUAL_BOUNDED_GRAPH]]()''​**|[[.:​polytope|polytope]]|method of Polytope|Visualization|
 +|**''​[[.:​polytope:​VoronoiPolyhedron#​VISUAL_CRUST |VISUAL_CRUST]]()''​**|[[.:​polytope|polytope]]|method of VoronoiPolyhedron|Visualization|
 +|**''​[[.:​polytope:​Polytope#​VISUAL_DUAL |VISUAL_DUAL]]()''​**|[[.:​polytope|polytope]]|method of Polytope|Visualization|
 +|**''​[[.:​graph:​Lattice#​VISUAL_DUAL |VISUAL_DUAL]]()''​**|[[.:​graph|graph]]|method of Lattice|Visualization|
 +|**''​[[.:​polytope:​Polytope#​VISUAL_DUAL_FACE_LATTICE |VISUAL_DUAL_FACE_LATTICE]]()''​**|[[.:​polytope|polytope]]|method of Polytope|Visualization|
 +|**''​[[.:​topaz:​SimplicialComplex#​VISUAL_DUAL_GRAPH |VISUAL_DUAL_GRAPH]]()''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|Visualization|
 +|**''​[[.:​polytope:​Polytope#​VISUAL_DUAL_GRAPH |VISUAL_DUAL_GRAPH]]()''​**|[[.:​polytope|polytope]]|method of Polytope|Visualization|
 +|**''​[[.:​topaz:​SimplicialComplex#​VISUAL_FACE_LATTICE |VISUAL_FACE_LATTICE]]()''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|Visualization|
 +|**''​[[.:​polytope:​Polytope#​VISUAL_FACE_LATTICE |VISUAL_FACE_LATTICE]]()''​**|[[.:​polytope|polytope]]|method of Polytope|Visualization|
 +|**''​[[.:​topaz:​SimplicialComplex#​VISUAL_GRAPH |VISUAL_GRAPH]]()''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|Visualization|
 +|**''​[[.:​polytope:​Polytope#​VISUAL_GRAPH |VISUAL_GRAPH]]()''​**|[[.:​polytope|polytope]]|method of Polytope|Visualization|
 +|**''​[[.:​tropical:​Polytope#​VISUAL_HYPERPLANE_ARRANGEMENT |VISUAL_HYPERPLANE_ARRANGEMENT]]()''​**|[[.:​tropical|tropical]]|method of Polytope|Visualization|
 +|**''​[[.:​fan:​PolyhedralComplex#​VISUAL_METRIC_TIGHT_SPAN |VISUAL_METRIC_TIGHT_SPAN]]()''​**|[[.:​fan|fan]]|method of PolyhedralComplex|Visualization|
 +|**''​[[.:​topaz:​SimplicialComplex#​VISUAL_MIXED_GRAPH |VISUAL_MIXED_GRAPH]]()''​**|[[.:​topaz|topaz]]|method of SimplicialComplex|Visualization|
 +|**''​[[.:​polytope:​VoronoiPolyhedron#​VISUAL_NN_CRUST |VISUAL_NN_CRUST]]()''​**|[[.:​polytope|polytope]]|method of VoronoiPolyhedron|Visualization|
 +|**''​[[.:​polytope:​Polytope#​VISUAL_NOP |VISUAL_NOP]](ARRAY colors_ref, ARRAY trans_ref)''​**|[[.:​polytope|polytope]]|method of Polytope|Symmetry|
 +|**''​[[.:​polytope:​Polytope#​VISUAL_NOP_GRAPH |VISUAL_NOP_GRAPH]]([[.:​common#​String |String]] filename)''​**|[[.:​polytope|polytope]]|method of Polytope|Symmetry|
 +|**''​[[.:​polytope:​Polytope#​VISUAL_ORBIT_COLORED_GRAPH |VISUAL_ORBIT_COLORED_GRAPH]]()''​**|[[.:​polytope|polytope]]|method of Polytope|Visualization|
 +|**''​[[.:​fan:​PolyhedralComplex#​VISUAL_ORBIT_COLORED_GRAPH |VISUAL_ORBIT_COLORED_GRAPH]]()''​**|[[.:​fan|fan]]|method of PolyhedralComplex|Visualization|
 +|**''​[[.:​polytope:​PointConfiguration#​VISUAL_POINTS |VISUAL_POINTS]]()''​**|[[.:​polytope|polytope]]|method of PointConfiguration|Visualization|
 +|**''​[[.:​fan#​visual_splitstree |visual_splitstree]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​Rational |Rational]]>​ M)''​**|[[.:​fan|fan]]|Functions|Visualization|
 +|**''​[[.:​tropical:​Polytope#​VISUAL_SUBDIVISION |VISUAL_SUBDIVISION]]()''​**|[[.:​tropical|tropical]]|method of Polytope|Visualization|
 +|**''​[[.:​polytope:​VoronoiPolyhedron#​VISUAL_VORONOI |VISUAL_VORONOI]]()''​**|[[.:​polytope|polytope]]|method of VoronoiPolyhedron|Visualization|
 +|**''​[[.:​tropical#​visualize_in_surface |visualize_in_surface]]''​**|[[.:​tropical|tropical]]|Functions|Visualization|
 +|**''​[[.:​polytope#​vlabels |vlabels]]([[.:​common#​Matrix |Matrix]] vertices, [[.:​common#​Bool |Bool]] wo_zero)''​**|[[.:​polytope|polytope]]|Functions|Visualization|
 +|**''​[[.:​topaz:​GeometricSimplicialComplex#​VOLUME |VOLUME]]''​**|[[.:​topaz|topaz]]|property of GeometricSimplicialComplex|no category|
 +|**''​[[.:​polytope:​Polytope#​VOLUME |VOLUME]]''​**|[[.:​polytope|polytope]]|property of Polytope|Triangulation and volume|
 +|**''​[[.:​polytope:​VoronoiPolyhedron#​VORONOI_DIAGRAM |VORONOI_DIAGRAM]]''​**|[[.:​polytope|polytope]]|property of VoronoiPolyhedron|no category|
 +|**''​[[.:​polytope:​VoronoiPolyhedron#​VORONOI_GRAPH |VORONOI_GRAPH]]''​**|[[.:​polytope|polytope]]|property of VoronoiPolyhedron|no category|
 +|**''​[[.:​polytope:​VoronoiPolyhedron#​VORONOI_VERTICES |VORONOI_VERTICES]]''​**|[[.:​polytope|polytope]]|property of VoronoiPolyhedron|no category|
 +|**''​[[.:​tropical:​VoronoiDiagram#​VoronoiDiagram |VoronoiDiagram]]''​**|[[.:​tropical|tropical]]|Objects|no category|
 +|**''​[[.:​polytope:​VoronoiPolyhedron#​VoronoiPolyhedron |VoronoiPolyhedron]]<​Scalar>''​**|[[.:​polytope|polytope]]|Objects|no category|
 +|**''​[[.:​polytope:​Polytope#​WEAKLY_CENTERED |WEAKLY_CENTERED]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​graph:​Graph#​WEAKLY_CONNECTED |WEAKLY_CONNECTED]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​graph:​Graph#​WEAKLY_CONNECTED_COMPONENTS |WEAKLY_CONNECTED_COMPONENTS]]''​**|[[.:​graph|graph]]|property of Graph|no category|
 +|**''​[[.:​topaz#​web_of_stars |web_of_stars]]([[.:​common#​Array |Array]]<​[[.:​common#​Int |Int]]> poset_hom, [[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]<​[[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]%%>>​%%>​ star_shaped_balls,​ [[.:​common#​Array |Array]]<​[[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]%%>>​%% triang)''​**|[[.:​topaz|topaz]]|Functions|Producing a new simplicial complex from others|
 +|**''​[[.:​polytope#​wedge |wedge]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​common#​Int |Int]] facet, [[.:​common#​Rational |Rational]] z, [[.:​common#​Rational |Rational]] z_prime)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​fulton:​NormalToricVariety#​WEIGHT_CONE |WEIGHT_CONE]]''​**|[[.:​fulton|fulton]]|property of NormalToricVariety|Combinatorics|
 +|**''​[[.:​tropical:​Cycle#​WEIGHT_CONE |WEIGHT_CONE]]''​**|[[.:​tropical|tropical]]|property of Cycle|Weights and lattices|
 +|**''​[[.:​tropical#​weight_cone |weight_cone]]([[.:​tropical:​Cycle |Cycle]] X, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> negative)''​**|[[.:​tropical|tropical]]|Functions|Weight space|
 +|**''​[[.:​tropical:​Cycle#​WEIGHT_SPACE |WEIGHT_SPACE]]''​**|[[.:​tropical|tropical]]|property of Cycle|Weights and lattices|
 +|**''​[[.:​tropical:​Cycle#​WEIGHT_SYSTEM |WEIGHT_SYSTEM]]''​**|[[.:​tropical|tropical]]|property of Cycle|Weights and lattices|
 +|**''​[[.:​polytope#​weighted_digraph_polyhedron |weighted_digraph_polyhedron]]([[.:​common#​Matrix |Matrix]] encoding)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from graphs|
 +|**''​[[.:​fulton#​weighted_projective_space |weighted_projective_space]]([[.:​common#​Vector |Vector]]<​[[.:​common#​Int |Int]]> a)''​**|[[.:​fulton|fulton]]|Functions|Producing a normal toric variety|
 +|**''​[[.:​polytope:​Cone#​WEIGHTS |WEIGHTS]]''​**|[[.:​polytope|polytope]]|property of Cone|Geometry|
 +|**''​[[.:​polytope:​PointConfiguration#​WEIGHTS |WEIGHTS]]''​**|[[.:​polytope|polytope]]|property of PointConfiguration|Triangulation and volume|
 +|**''​[[.:​fan:​SubdivisionOfPoints#​WEIGHTS |WEIGHTS]]''​**|[[.:​fan|fan]]|property of SubdivisionOfPoints|Geometry|
 +|**''​[[.:​tropical:​Cycle#​WEIGHTS |WEIGHTS]]''​**|[[.:​tropical|tropical]]|property of Cycle|Weights and lattices|
 +|**''​[[.:​matroid#​wheel4_matroid |wheel4_matroid]]()''​**|[[.:​matroid|matroid]]|Functions|Producing a matroid from scratch|
 +|**''​[[.:​graph#​wheel_graph |wheel_graph]]([[.:​common#​Int |Int]] n)''​**|[[.:​graph|graph]]|Functions|Producing a graph|
 +|**''​[[.:​polytope#​wreath |wreath]]([[.:​polytope:​Polytope |Polytope]] P1, [[.:​polytope:​Polytope |Polytope]] P2)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from polytopes|
 +|**''​[[.:​polytope#​write_foldable_max_signature_ilp |write_foldable_max_signature_ilp]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​common#​String |String]] outfile_name)''​**|[[.:​polytope|polytope]]|Functions|Optimization|
 +|**''​[[.:​polytope#​write_quotient_space_simplexity_ilp |write_quotient_space_simplexity_ilp]]''​**|[[.:​polytope|polytope]]|Functions|Quotient spaces|
 +|**''​[[.:​polytope#​write_simplexity_ilp |write_simplexity_ilp]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Optimization|
 +|**''​[[.:​polytope#​write_simplexity_ilp_with_angles |write_simplexity_ilp_with_angles]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​common#​String |String]] outfile_name)''​**|[[.:​polytope|polytope]]|Functions|Optimization|
 +|**''​[[.:​polytope:​Polytope#​write_stl |write_stl]]([[.:​common#​String |String]] filename)''​**|[[.:​polytope|polytope]]|method of Polytope|Visualization|
 +|**''​[[.:​polytope#​write_symmetrized_simplexity_ilp |write_symmetrized_simplexity_ilp]]([[.:​polytope:​Polytope |Polytope]] P, [[.:​common#​Set |Set]]<​[[.:​common#​Int |Int]]> isotypic_components,​ [[.:​common#​String |String]] outfile_name)''​**|[[.:​polytope|polytope]]|Functions|Optimization|
 +|**''​[[.:​polytope#​wronski_center_ideal |wronski_center_ideal]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​Int |Int]]> L, [[.:​common#​Vector |Vector]]<​[[.:​common#​Int |Int]]> lambda)''​**|[[.:​polytope|polytope]]|Functions|Other|
 +|**''​[[.:​polytope#​wronski_polynomial |wronski_polynomial]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​Int |Int]]> M, [[.:​common#​Vector |Vector]]<​[[.:​common#​Int |Int]]> lambda, [[.:​common#​Array |Array]]<​[[.:​common#​Rational |Rational]]>​ coeff, [[.:​common#​Rational |Rational]] s)''​**|[[.:​polytope|polytope]]|Functions|Other|
 +|**''​[[.:​polytope#​wronski_system |wronski_system]]([[.:​common#​Matrix |Matrix]]<​[[.:​common#​Int |Int]]> M, [[.:​common#​Vector |Vector]]<​[[.:​common#​Int |Int]]> lambda, [[.:​common#​Array |Array]]<​[[.:​common#​Array |Array]]<​[[.:​common#​Rational |Rational]]%%>>​%% coeff_array,​ [[.:​common#​Rational |Rational]] s)''​**|[[.:​polytope|polytope]]|Functions|Other|
 +|**''​[[.:​polytope#​wythoff |wythoff]]([[.:​common#​String |String]] type, [[.:​common#​Set |Set]] rings)''​**|[[.:​polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
 +|**''​[[.:​common#​x3d |x3d]]([[.:​common:​Visual_Object |Visual::​Object]] vis_obj ...)''​**|[[.:​common|common]]|Functions|Visualization|
 +|**''​[[.:​common#​TropicalNumber |zero]]()''​**|[[.:​common|common]]|method of TropicalNumber|no category|
 +|**''​[[.:​ideal:​Ideal#​ZERO |ZERO]]''​**|[[.:​ideal|ideal]]|property of Ideal|Commutative algebra|
 +|**''​[[.:​tropical#​zero_in_matroid_ring |zero_in_matroid_ring]]<​Addition>​([[.:​common#​Int |Int]] n)''​**|[[.:​tropical|tropical]]|Functions|Matroid ring cycle arithmetics|
 +|**''​[[.:​common#​zero_matrix |zero_matrix]]<​Element>​([[.:​common#​Int |Int]] i, [[.:​common#​Int |Int]] j)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​common#​zero_vector |zero_vector]]<​Element>​([[.:​common#​Int |Int]] d)''​**|[[.:​common|common]]|Functions|Linear Algebra|
 +|**''​[[.:​polytope#​zonotope |zonotope]]([[.:​common#​Matrix |Matrix]]<​Scalar>​ M)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​polytope:​Polytope#​ZONOTOPE_INPUT_POINTS |ZONOTOPE_INPUT_POINTS]]''​**|[[.:​polytope|polytope]]|property of Polytope|Geometry|
 +|**''​[[.:​polytope#​zonotope_tiling_lattice |zonotope_tiling_lattice]]([[.:​polytope:​Polytope |Polytope]] P)''​**|[[.:​polytope|polytope]]|Functions|Geometry|
 +|**''​[[.:​polytope#​zonotope_vertices_fukuda |zonotope_vertices_fukuda]]([[.:​common#​Matrix |Matrix]] M)''​**|[[.:​polytope|polytope]]|Functions|Producing a polytope from scratch|
 +|**''​[[.:​polytope:​SchlegelDiagram#​ZOOM |ZOOM]]''​**|[[.:​polytope|polytope]]|property of SchlegelDiagram|no category|</​sortable>​