Index

_

__init__() (ArcView method) (BoundingBox method) (Cache method), [1] (Circle method) (CircularArc method) (ClassifierDict method) (DisjointSetUnion method) (Endpoint method) (EndpointView method) (FaceView method) (FilteredNodeView method) (HashableSized method) (IdentityDict method) (IngoingEndpoint method) (LazyDict method) (LeveledSet method) (Line method) (Module method) (Network method) (Node method) (NodeView method) (OrientedCircularArc method) (OrientedPlanarDiagram method) (OutgoingEndpoint method) (PlanarDiagram method) (PolySegment method) (ProgressBar method) (Segment method) (TangleExpr method) (TangleProduct method) (TangleSum method) (ZigZag method)

_inc (Node attribute) _nodes (NodeView attribute), [1] (PlanarDiagram attribute), [1]

A

A (CircularArc property), [1] (OrientedCircularArc property) acxyz() (in module knotpy.utils.circlepack) add() (DisjointSetUnion method), [1] (LeveledSet method), [1] add_angled_triplet() (Network method), [1] add_connection() (Network method), [1] add_connections_from() (Network method), [1] add_corners_and_smoothen() (in module knotpy.drawing.draw_tangle), [1] add_crossing() (OrientedPlanarDiagram method) (PlanarDiagram method) add_crossings_from() (OrientedPlanarDiagram method) (PlanarDiagram method), [1] add_line() (ZigZag method), [1] add_node() (OrientedPlanarDiagram method) (PlanarDiagram method), [1] add_nodes_from() (OrientedPlanarDiagram method) (PlanarDiagram method), [1] add_padding() (BoundingBox method), [1] add_point() (Network method), [1] add_stiff_triplet() (Network method), [1] add_stiff_triplets_from() (Network method), [1] add_unknot() (in module knotpy.algorithms.disjoint_union) add_vertex() (OrientedPlanarDiagram method) (PlanarDiagram method), [1] add_vertices_from() (OrientedPlanarDiagram method) (PlanarDiagram method) add_virtual_crossing() (OrientedPlanarDiagram method) (PlanarDiagram method) add_virtual_crossings_from() (OrientedPlanarDiagram method) (PlanarDiagram method) affine_index_polynomial() (in module knotpy.invariants.affine_index), [1] alexander() (in module knotpy.invariants.alexander) alexander_fox_matrix() (in module knotpy.invariants.fundamental_group), [1] alexander_multivariable() (in module knotpy.invariants.alexander)

align_layouts() (in module knotpy.drawing.alignment), [1] all_orientations() (in module knotpy.algorithms.orientation), [1] all_reidemeister_moves() (in module knotpy.reidemeister) alpha (ProgressBar attribute) alternating_crossings() (in module knotpy.algorithms.alternating), [1] angle() (CircularArc method), [1] (OrientedCircularArc method) angle_between() (in module knotpy.utils.geometry) angle_between_points() (in module knotpy.drawing.draw_tangle), [1] animate_simulation() (in module knotpy.drawing.dynamic_network), [1] antipode() (in module knotpy.utils.geometry), [1] append() (ClassifierDict method), [1] (Module method), [1] (Node method) arc_cut_sets() (in module knotpy.algorithms.cut_set), [1] arc_face_graph() (in module knotpy.algorithms.duality), [1] arc_from_circle_and_points() (in module knotpy.utils.geometry) arc_from_diameter() (in module knotpy.utils.geometry), [1] arcs (OrientedPlanarDiagram property) (PlanarDiagram property), [1] arcs() (ArcView method) (EndpointView method) (FaceView method) (FilteredNodeView method) (NodeView method), [1] ArcView (class in knotpy.classes.views), [1] are_continuation() (in module knotpy.drawing.draw_tangle), [1] arrow_polynomial() (in module knotpy.invariants.arrow), [1] attr (Endpoint attribute), [1], [2], [3] (IngoingEndpoint attribute) (Node attribute), [1] (OutgoingEndpoint attribute) (PlanarDiagram attribute), [1] autoscale_with_padding() (in module knotpy.drawing.draw) average_connection_length() (Network method), [1]

B

B (CircularArc property), [1] (OrientedCircularArc property) bar (in module knotpy.utils.progressbar), [1] bisect() (in module knotpy.utils.geometry), [1] bisector() (in module knotpy.utils.geometry), [1] BLUE (ProgressBar attribute), [1]

bounding_box() (in module knotpy.utils.geometry) (ZigZag method), [1] BoundingBox (class in knotpy.utils.geometry), [1] bracket() (in module knotpy.invariants.bracket) bridge_join() (in module knotpy.algorithms.join), [1] bridges() (in module knotpy.algorithms.topology), [1]

C

Cache (class in knotpy.invariants.cache), [1] (class in knotpy.utils.cache), [1] cache_size (Cache attribute), [1] canonical() (in module knotpy.algorithms.canonical) canonical_generator() (in module knotpy.algorithms.canonical) canonicalize_under_variable_permutation() (in module knotpy.utils.laurent), [1] canonically_rotate_circles() (in module knotpy.drawing.alignment), [1] center (Circle attribute), [1] check_expressions() (in module knotpy.invariants.tests.test_gcd), [1] Circle (class in knotpy.utils.geometry), [1] circle_pack() (in module knotpy.utils.circlepack), [1] circle_through_points() (in module knotpy.utils.geometry), [1] CircularArc (class in knotpy.utils.geometry), [1] classes() (DisjointSetUnion method), [1] ClassifierDict (class in knotpy.utils.dict_utils), [1] clear() (Cache method), [1], [2] (ClassifierDict method) (IdentityDict method) (LazyDict method) (OrientedPlanarDiagram method) (PlanarDiagram method), [1] clear_attributes() (in module knotpy.algorithms.attributes), [1] clear_diagram_attributes() (in module knotpy.algorithms.attributes), [1] clear_endpoint_attributes() (in module knotpy.algorithms.attributes), [1] clear_node_attributes() (in module knotpy.algorithms.attributes), [1] clear_temporary_attributes() (in module knotpy.algorithms.attributes), [1] clear_temporary_diagram_attributes() (in module knotpy.algorithms.attributes), [1] clear_temporary_endpoint_attributes() (in module knotpy.algorithms.attributes), [1] clear_temporary_node_attributes() (in module knotpy.algorithms.attributes), [1] closure() (in module knotpy.algorithms.closure) comment (ProgressBar attribute)

common_dict() (in module knotpy.utils.dict_utils), [1] compare_dicts() (in module knotpy.utils.dict_utils), [1] compose_tangles() (in module knotpy.algorithms.tangle), [1] compute_forces() (Network method), [1] compute_repulsive_ignore() (Network method), [1] connect() (in module knotpy.drawing.draw_tangle), [1] connected_sum() (in module knotpy.algorithms.connected_sum) connected_sum_decomposition() (in module knotpy.algorithms.connected_sum) contains() (LeveledSet method), [1] contract_arc() (in module knotpy.algorithms.contract), [1] convert_node() (OrientedPlanarDiagram method) (PlanarDiagram method), [1] convert_nodes() (OrientedPlanarDiagram method) (PlanarDiagram method), [1] conway() (in module knotpy.invariants.conway) copy() (Cache method) (ClassifierDict method) (IdentityDict method) (LazyDict method) (Module method), [1] (OrientedPlanarDiagram method) (PlanarDiagram method), [1] crossing_join() (in module knotpy.algorithms.join), [1] crossing_to_vertex() (in module knotpy.invariants.skein), [1] crossings (OrientedPlanarDiagram property) (PlanarDiagram property) crossings() (in module knotpy.drawing.draw_tangle), [1] cut_decomposition() (in module knotpy.algorithms.cut_set), [1] cut_nodes() (in module knotpy.algorithms.cut_set), [1] CYAN (ProgressBar attribute), [1] cycles() (in module knotpy.algorithms.cycles)

D

default_factory (IdentityDict attribute) degree() (Node method) (OrientedPlanarDiagram method) (PlanarDiagram method), [1] degree_sequence() (in module knotpy.algorithms.degree_sequence) deletion_contraction() (in module knotpy.invariants.tutte) detour_generator() (in module knotpy.reidemeister) Diagram (in module knotpy.classes.planardiagram), [1] DiagramCollection (in module knotpy.classes.planardiagram), [1] difference() (LeveledSet method), [1] disjoint_union() (in module knotpy.algorithms.disjoint_union) disjoint_union_decomposition() (in module knotpy.algorithms.disjoint_union) DisjointSetUnion (class in knotpy.utils.disjoint_union_set), [1] disoriented_smoothing() (in module knotpy.invariants.arrow)

distances() (Network method), [1] DO_NOT_test_homflypt() (in module knotpy.invariants.tests.test_homflypt), [1] DO_NOTtest_draw_bridges() (in module knotpy.drawing.tests.test_draw), [1] draw() (in module knotpy.drawing.draw) (in module knotpy.drawing.draw_tangle), [1] draw_arc_labels() (in module knotpy.drawing.draw) draw_arcs() (in module knotpy.drawing.draw) draw_arrows() (in module knotpy.drawing.draw) draw_endpoint_labels() (in module knotpy.drawing.draw) draw_endpoints() (in module knotpy.drawing.draw) draw_from_layout() (in module knotpy.drawing.draw) draw_node_labels() (in module knotpy.drawing.draw) draw_smooth() (in module knotpy.drawing.draw_tangle), [1] draw_vertices() (in module knotpy.drawing.draw) dual_planar_diagram() (in module knotpy.algorithms.duality), [1]

E

E (ZigZag property), [1] edges() (in module knotpy.algorithms.topology), [1] elements (DisjointSetUnion property), [1] Endpoint (class in knotpy.classes.endpoint), [1] endpoint_from_pair() (OrientedPlanarDiagram method) (PlanarDiagram method), [1] endpoints (OrientedPlanarDiagram property) (PlanarDiagram property), [1]

EndpointView (class in knotpy.classes.views), [1] ensure_arc() (in module knotpy.classes.endpoint) ensure_endpoint() (in module knotpy.classes.endpoint) export_pdf() (in module knotpy.drawing.export), [1] export_pdf_groups() (in module knotpy.drawing.export), [1] extend() (LeveledSet method), [1] (Module method), [1] extract_variables() (in module knotpy.utils.laurent), [1]

F

faces (OrientedPlanarDiagram property) (PlanarDiagram property), [1] FaceView (class in knotpy.classes.views), [1] filter() (Module method), [1] FilteredNodeView (class in knotpy.classes.views), [1] find() (DisjointSetUnion method), [1] find_arc_cut_set() (in module knotpy.algorithms.cut_set), [1] first_letter() (in module knotpy.invariants.tests.test_classifier), [1] flatten_nested_list() (in module knotpy.notation.dt) flip() (in module knotpy.algorithms.symmetry), [1] flower() (in module knotpy.utils.circlepack) flype_generator() (in module knotpy.reidemeister) fox_derivative() (in module knotpy.invariants.fundamental_group), [1] framing (OrientedPlanarDiagram property) (PlanarDiagram property), [1]

freeze() (in module knotpy.classes.freezing), [1] from_condensed_em_notation() (in module knotpy.notation.em), [1] from_condensed_pd_notation() (in module knotpy.notation.pd), [1] from_dt_notation() (in module knotpy.notation.dt), [1] from_em_notation() (in module knotpy.notation.em), [1] from_knotpy_notation() (in module knotpy.notation.native), [1] from_notation_dispatcher() (in module knotpy.notation.dispatcher), [1] from_pd_notation() (in module knotpy.notation.pd), [1] from_plantri_notation() (in module knotpy.notation.plantri), [1] from_tuples() (Module static method), [1] fromkeys() (Cache class method) (ClassifierDict class method) (IdentityDict class method) (LazyDict class method) frozen() (in module knotpy.classes.freezing) fundamental_group() (in module knotpy.invariants.fundamental_group), [1]

G

generate_node_names() (in module knotpy.algorithms.naming), [1] get() (ArcView method) (Cache method), [1], [2] (ClassifierDict method) (Endpoint method), [1] (EndpointView method) (FaceView method) (FilteredNodeView method) (IdentityDict method) (IngoingEndpoint method) (LazyDict method), [1] (NodeView method) (OutgoingEndpoint method)

GRAY (ProgressBar attribute), [1] group_by_invariants() (in module knotpy.invariants.classifier), [1]

H

HashableSized (class in knotpy.invariants.cache) height (ZigZag property), [1] helper_test_connected_sum_on_knots() (in module knotpy.algorithms.tests.test_sums), [1] homflypt() (in module knotpy.invariants.homflypt)

homflypt_az() (in module knotpy.invariants.homflypt) homflypt_lm() (in module knotpy.invariants.homflypt) homflypt_vz() (in module knotpy.invariants.homflypt) homflypt_xyz() (in module knotpy.invariants.homflypt)

I

IdentityDict (class in knotpy.utils.dict_utils), [1] index (ProgressBar attribute) index() (Module method), [1] IngoingEndpoint (class in knotpy.classes.endpoint), [1] init_network() (in module knotpy.drawing.dynamic_simulation), [1] insert_arc() (in module knotpy.algorithms.insert), [1] insert_endpoint() (in module knotpy.algorithms.insert), [1] insert_loop() (in module knotpy.algorithms.insert), [1] insert_new_leaf() (in module knotpy.algorithms.insert), [1] integral() (in module knotpy.drawing.draw_tangle), [1] intersection() (LeveledSet method), [1] inverse_point_through_circle() (in module knotpy.utils.geometry) invert_around() (in module knotpy.utils.circlepack), [1] invert_dict() (in module knotpy.utils.dict_utils), [1] invert_dict_of_sets() (in module knotpy.utils.dict_utils), [1] invert_multi_dict() (in module knotpy.utils.dict_utils), [1] invert_nested_dict() (in module knotpy.utils.dict_utils), [1] invert_packing() (in module knotpy.utils.circlepack), [1] is_alternating() (in module knotpy.algorithms.alternating), [1] is_angle_between() (in module knotpy.utils.geometry), [1] is_bridge() (in module knotpy.algorithms.topology), [1] is_connected_sum() (in module knotpy.algorithms.connected_sum) is_connected_sum_third_order() (in module knotpy.algorithms.connected_sum) is_disjoint_union() (in module knotpy.algorithms.disjoint_union) is_empty_diagram() (in module knotpy.algorithms.topology), [1] is_face_alternating() (in module knotpy.algorithms.alternating), [1] is_framed() (OrientedPlanarDiagram method) (PlanarDiagram method), [1] is_frozen() (OrientedPlanarDiagram method) (PlanarDiagram method) is_integer_tangle() (in module knotpy.algorithms.tangle), [1]

is_kink() (in module knotpy.algorithms.topology), [1] is_knot() (in module knotpy.algorithms.topology), [1] is_knotoid() (in module knotpy.algorithms.topology), [1] is_leaf() (in module knotpy.algorithms.topology), [1] is_level_empty() (LeveledSet method), [1] is_link() (in module knotpy.algorithms.topology), [1] is_linkoid() (in module knotpy.algorithms.topology), [1] is_loop() (in module knotpy.algorithms.topology), [1] is_oriented() (Endpoint static method), [1] (IngoingEndpoint static method), [1] (OrientedPlanarDiagram static method), [1] (OutgoingEndpoint static method), [1] (PlanarDiagram static method), [1] is_planar_graph() (in module knotpy.algorithms.topology), [1] is_unknot() (in module knotpy.algorithms.topology), [1] is_unlink() (in module knotpy.algorithms.topology), [1] isdisjoint() (ArcView method) (EndpointView method) (FaceView method) (FilteredNodeView method) (LeveledSet method), [1] (NodeView method) items() (ArcView method) (Cache method) (ClassifierDict method) (EndpointView method) (FaceView method) (FilteredNodeView method) (IdentityDict method) (LazyDict method), [1] (NodeView method) iter_level() (LeveledSet method), [1]

J

join() (ZigZag method), [1]

jones() (in module knotpy.invariants.jones)

K

kauffman() (in module knotpy.invariants.kauffman) kauffman_bracket_skein_module() (in module knotpy.invariants.bracket) keys() (ArcView method) (Cache method) (ClassifierDict method) (EndpointView method) (FaceView method) (FilteredNodeView method) (IdentityDict method) (LazyDict method), [1] (NodeView method) kink_region_iterator() (in module knotpy.algorithms.topology), [1] kinks() (in module knotpy.algorithms.topology), [1] knotpy module knotpy.algorithms module knotpy.algorithms.alternating module knotpy.algorithms.attributes module knotpy.algorithms.canonical module knotpy.algorithms.closure module knotpy.algorithms.components_link module knotpy.algorithms.connected_sum module knotpy.algorithms.contract module knotpy.algorithms.cut_set module knotpy.algorithms.cycles module knotpy.algorithms.degree_sequence module knotpy.algorithms.disjoint_union module knotpy.algorithms.duality module knotpy.algorithms.insert module knotpy.algorithms.join module knotpy.algorithms.naming module knotpy.algorithms.orientation module knotpy.algorithms.remove module knotpy.algorithms.rewire module knotpy.algorithms.sanity module knotpy.algorithms.subdivide module knotpy.algorithms.symmetry module knotpy.algorithms.tangle module knotpy.algorithms.tests module knotpy.algorithms.tests.test_alternating module knotpy.algorithms.tests.test_attributes__ module knotpy.algorithms.tests.test_canonical module knotpy.algorithms.tests.test_closure module knotpy.algorithms.tests.test_component_links module knotpy.algorithms.tests.test_contract module knotpy.algorithms.tests.test_cut_set module knotpy.algorithms.tests.test_degree_sequence module knotpy.algorithms.tests.test_disjoint_sum module knotpy.algorithms.tests.test_features module knotpy.algorithms.tests.test_insert module knotpy.algorithms.tests.test_orientation module knotpy.algorithms.tests.test_remove module knotpy.algorithms.tests.test_reverse module knotpy.algorithms.tests.test_rewire module knotpy.algorithms.tests.test_sanity module knotpy.algorithms.tests.test_skein module knotpy.algorithms.tests.test_sums module knotpy.algorithms.tests.test_tangles module knotpy.algorithms.topology module knotpy.classes module knotpy.classes.endpoint module knotpy.classes.freezing module knotpy.classes.node module knotpy.classes.planardiagram module knotpy.classes.tests module knotpy.classes.tests.test_endpoint module knotpy.classes.tests.test_faces module knotpy.classes.tests.test_freezing module knotpy.classes.tests.test_init module knotpy.classes.tests.test_nodes module knotpy.classes.tests.test_nothing module knotpy.classes.tests.test_pickle module knotpy.classes.tests.test_planardiagram module knotpy.classes.views module knotpy.drawing module knotpy.drawing.alignment module knotpy.drawing.draw module knotpy.drawing.draw_tangle module knotpy.drawing.dynamic_network module knotpy.drawing.dynamic_simulation module knotpy.drawing.export module

knotpy.drawing.layout_circle_packing module knotpy.drawing.tests module knotpy.drawing.tests.test_draw module knotpy.drawing.tests.test_export module knotpy.drawing.tests.test_knotoids_strange module knotpy.drawing.tutte_layout module knotpy.invariants module knotpy.invariants.affine_index module knotpy.invariants.alexander module knotpy.invariants.arrow module knotpy.invariants.bracket module knotpy.invariants.cache module knotpy.invariants.classifier module knotpy.invariants.conway module knotpy.invariants.fundamental_group module knotpy.invariants.homflypt module knotpy.invariants.jones module knotpy.invariants.kauffman module knotpy.invariants.mock_alexander module knotpy.invariants.skein module knotpy.invariants.tests module knotpy.invariants.tests.test_bracket module knotpy.invariants.tests.test_classifier module knotpy.invariants.tests.test_gcd module knotpy.invariants.tests.test_homflypt module knotpy.invariants.tests.test_jones module knotpy.invariants.tests.test_knotoids module knotpy.invariants.tests.test_knotoids_hard module knotpy.invariants.tests.test_multivariable_alexander module knotpy.invariants.tests.test_tutte module knotpy.invariants.tests.test_yamada module knotpy.invariants.tutte module knotpy.invariants.unplugging module knotpy.invariants.writhe module knotpy.invariants.yamada module knotpy.notation module knotpy.notation.dispatcher module knotpy.notation.dt module knotpy.notation.em module knotpy.notation.native module knotpy.notation.pd module knotpy.notation.plantri module knotpy.notation.tests module knotpy.notation.tests.test_notation module knotpy.notation.tests.test_plantri module knotpy.reidemeister module knotpy.utils module knotpy.utils.cache module knotpy.utils.circlepack module knotpy.utils.decorators module knotpy.utils.dict_utils module knotpy.utils.disjoint_union_set module knotpy.utils.geometry module knotpy.utils.laurent module knotpy.utils.module module knotpy.utils.parsing module knotpy.utils.progressbar module knotpy.utils.set_utils module knotpy.utils.string_utils module knotpy.utils.test module knotpy.utils.test.test_cache module knotpy.utils.test.test_circlepack module knotpy.utils.test.test_combinatorics module knotpy.utils.test.test_dict module knotpy.utils.test.test_dict_utils module knotpy.utils.test.test_dsu module knotpy.utils.test.test_geometry module knotpy.utils.test.test_laurent module knotpy.utils.test.test_lazy_dict module knotpy.utils.test.test_module module knotpy.utils.test.test_parser module knotpy.utils.test.test_set_utils module knotpy.utils.test.test_value_partitioner module

L

last_bar_size (ProgressBar attribute) last_letter() (in module knotpy.invariants.tests.test_classifier), [1] last_update_time (ProgressBar attribute) layout_circle_packing() (in module knotpy.drawing.layout_circle_packing) LazyDict (class in knotpy.utils.dict_utils), [1] leafs() (in module knotpy.algorithms.topology), [1] length() (Circle method), [1] (CircularArc method), [1] (Line static method), [1] (OrientedCircularArc method) (PolySegment method), [1] (Segment method), [1]

level_sizes() (LeveledSet method), [1] LeveledSet (class in knotpy.utils.set_utils), [1] Line (class in knotpy.utils.geometry), [1] link_components_endpoints() (in module knotpy.algorithms.components_link), [1] loops() (in module knotpy.algorithms.topology), [1]

M

make_simple_diagram() (in module knotpy.classes.tests.test_planardiagram), [1] make_square() (BoundingBox method), [1] max_cache_size (Cache attribute), [1] max_key_length (Cache attribute), [1] max_number_of_nodes (Cache attribute), [1] middle() (in module knotpy.utils.geometry), [1] mirror() (in module knotpy.algorithms.symmetry), [1] (ZigZag method), [1] mock_alexander_polynomial() (in module knotpy.invariants.mock_alexander), [1] mod2() (in module knotpy.utils.test.test_value_partitioner), [1] mod3() (in module knotpy.utils.test.test_value_partitioner), [1] module knotpy knotpy.algorithms knotpy.algorithms.alternating knotpy.algorithms.attributes knotpy.algorithms.canonical knotpy.algorithms.closure knotpy.algorithms.components_link knotpy.algorithms.connected_sum knotpy.algorithms.contract knotpy.algorithms.cut_set knotpy.algorithms.cycles knotpy.algorithms.degree_sequence knotpy.algorithms.disjoint_union knotpy.algorithms.duality knotpy.algorithms.insert knotpy.algorithms.join knotpy.algorithms.naming knotpy.algorithms.orientation knotpy.algorithms.remove knotpy.algorithms.rewire knotpy.algorithms.sanity knotpy.algorithms.subdivide knotpy.algorithms.symmetry knotpy.algorithms.tangle knotpy.algorithms.tests knotpy.algorithms.tests.test_alternating knotpy.algorithms.tests.test_attributes__ knotpy.algorithms.tests.test_canonical knotpy.algorithms.tests.test_closure knotpy.algorithms.tests.test_component_links knotpy.algorithms.tests.test_contract knotpy.algorithms.tests.test_cut_set knotpy.algorithms.tests.test_degree_sequence knotpy.algorithms.tests.test_disjoint_sum knotpy.algorithms.tests.test_features knotpy.algorithms.tests.test_insert knotpy.algorithms.tests.test_orientation knotpy.algorithms.tests.test_remove knotpy.algorithms.tests.test_reverse knotpy.algorithms.tests.test_rewire knotpy.algorithms.tests.test_sanity knotpy.algorithms.tests.test_skein knotpy.algorithms.tests.test_sums knotpy.algorithms.tests.test_tangles knotpy.algorithms.topology knotpy.classes knotpy.classes.endpoint knotpy.classes.freezing knotpy.classes.node knotpy.classes.planardiagram knotpy.classes.tests knotpy.classes.tests.test_endpoint knotpy.classes.tests.test_faces knotpy.classes.tests.test_freezing knotpy.classes.tests.test_init knotpy.classes.tests.test_nodes knotpy.classes.tests.test_nothing knotpy.classes.tests.test_pickle knotpy.classes.tests.test_planardiagram knotpy.classes.views knotpy.drawing knotpy.drawing.alignment knotpy.drawing.draw knotpy.drawing.draw_tangle knotpy.drawing.dynamic_network knotpy.drawing.dynamic_simulation knotpy.drawing.export knotpy.drawing.layout_circle_packing knotpy.drawing.tests knotpy.drawing.tests.test_draw knotpy.drawing.tests.test_export knotpy.drawing.tests.test_knotoids_strange knotpy.drawing.tutte_layout knotpy.invariants knotpy.invariants.affine_index knotpy.invariants.alexander knotpy.invariants.arrow knotpy.invariants.bracket knotpy.invariants.cache knotpy.invariants.classifier knotpy.invariants.conway knotpy.invariants.fundamental_group knotpy.invariants.homflypt knotpy.invariants.jones knotpy.invariants.kauffman knotpy.invariants.mock_alexander knotpy.invariants.skein knotpy.invariants.tests knotpy.invariants.tests.test_bracket knotpy.invariants.tests.test_classifier knotpy.invariants.tests.test_gcd knotpy.invariants.tests.test_homflypt knotpy.invariants.tests.test_jones knotpy.invariants.tests.test_knotoids knotpy.invariants.tests.test_knotoids_hard knotpy.invariants.tests.test_multivariable_alexander knotpy.invariants.tests.test_tutte knotpy.invariants.tests.test_yamada knotpy.invariants.tutte knotpy.invariants.unplugging knotpy.invariants.writhe knotpy.invariants.yamada knotpy.notation knotpy.notation.dispatcher knotpy.notation.dt knotpy.notation.em knotpy.notation.native knotpy.notation.pd knotpy.notation.plantri knotpy.notation.tests knotpy.notation.tests.test_notation knotpy.notation.tests.test_plantri knotpy.reidemeister knotpy.utils knotpy.utils.cache knotpy.utils.circlepack knotpy.utils.decorators knotpy.utils.dict_utils knotpy.utils.disjoint_union_set knotpy.utils.geometry knotpy.utils.laurent knotpy.utils.module knotpy.utils.parsing knotpy.utils.progressbar knotpy.utils.set_utils knotpy.utils.string_utils knotpy.utils.test knotpy.utils.test.test_cache knotpy.utils.test.test_circlepack knotpy.utils.test.test_combinatorics knotpy.utils.test.test_dict knotpy.utils.test.test_dict_utils knotpy.utils.test.test_dsu knotpy.utils.test.test_geometry knotpy.utils.test.test_laurent knotpy.utils.test.test_lazy_dict knotpy.utils.test.test_module knotpy.utils.test.test_parser knotpy.utils.test.test_set_utils knotpy.utils.test.test_value_partitioner

Module (class in knotpy.utils.module), [1] move() (ZigZag method), [1] multi_replace() (in module knotpy.utils.string_utils), [1] multiple_unique_new_node_names() (in module knotpy.algorithms.naming), [1] multivariable_alexander() (in module knotpy.invariants.alexander)

N

N (ZigZag property), [1] name (OrientedPlanarDiagram property) (PlanarDiagram property), [1] neighbour_sequence() (in module knotpy.algorithms.degree_sequence) net_force_magnitude() (Network method), [1] Network (class in knotpy.drawing.dynamic_network), [1] new_level() (LeveledSet method), [1] Node (class in knotpy.classes.node) node (Endpoint attribute), [1], [2], [3] (IngoingEndpoint attribute) (OutgoingEndpoint attribute) nodes (OrientedPlanarDiagram property) (PlanarDiagram property), [1] NodeView (class in knotpy.classes.views), [1] normalize_laurent_polynomial() (in module knotpy.utils.laurent), [1] normalize_packing() (in module knotpy.utils.circlepack), [1] normalize_polynomial() (in module knotpy.utils.laurent), [1] normalize_symmetric() (in module knotpy.utils.laurent), [1]

number_of_arcs (OrientedPlanarDiagram property) (PlanarDiagram property), [1] number_of_crossings (OrientedPlanarDiagram property) (PlanarDiagram property), [1] number_of_disjoint_components() (in module knotpy.algorithms.disjoint_union) number_of_endpoints (OrientedPlanarDiagram property) (PlanarDiagram property), [1] number_of_items() (LeveledSet method), [1] number_of_levels() (LeveledSet method), [1] number_of_link_components() (in module knotpy.algorithms.components_link), [1] number_of_nodes (OrientedPlanarDiagram property) (PlanarDiagram property), [1] number_of_unknots() (in module knotpy.algorithms.topology), [1] number_of_vertices (OrientedPlanarDiagram property) (PlanarDiagram property), [1] number_of_virtual_crossings (OrientedPlanarDiagram property) (PlanarDiagram property), [1] number_to_alpha() (in module knotpy.algorithms.naming)

O

orient() (in module knotpy.algorithms.orientation), [1] orient_arc() (in module knotpy.utils.geometry) orient_edges() (in module knotpy.algorithms.orientation)

OrientedCircularArc (class in knotpy.utils.geometry) OrientedPlanarDiagram (class in knotpy.classes.planardiagram), [1] OutgoingEndpoint (class in knotpy.classes.endpoint), [1] overstrands() (in module knotpy.algorithms.topology), [1]

P

parallelize_arc() (in module knotpy.algorithms.insert), [1] parameter_from_point() (Line method), [1] (Segment method) parse_arc() (in module knotpy.utils.parsing), [1] parse_arcs() (in module knotpy.utils.parsing), [1] parse_endpoint() (in module knotpy.utils.parsing), [1] parse_spaced_rows() (in module knotpy.utils.parsing), [1] path_from_endpoint() (in module knotpy.algorithms.topology) permute_node() (in module knotpy.algorithms.rewire), [1] (OrientedPlanarDiagram method) (PlanarDiagram method), [1] perpendicular_arc() (in module knotpy.utils.geometry), [1] perpendicular_arc_through_point() (in module knotpy.utils.geometry), [1] perpendicular_line() (in module knotpy.utils.geometry), [1] place() (in module knotpy.utils.circlepack) planar_diagram_from_data() (in module knotpy.classes.planardiagram) PlanarDiagram (class in knotpy.classes.planardiagram), [1]

plot_bead_frame() (in module knotpy.drawing.dynamic_network), [1] plot_force_history() (in module knotpy.drawing.dynamic_network), [1] plot_static_frame() (in module knotpy.drawing.dynamic_network), [1] PolySegment (class in knotpy.utils.geometry), [1] pop() (Cache method) (ClassifierDict method) (IdentityDict method) (LazyDict method) popitem() (Cache method) (ClassifierDict method) (IdentityDict method) (LazyDict method) position (Endpoint attribute), [1], [2], [3] (IngoingEndpoint attribute) (OutgoingEndpoint attribute) powerset() (in module knotpy.utils.set_utils), [1] ProgressBar (class in knotpy.utils.progressbar), [1] pull_and_plug_endpoint() (in module knotpy.algorithms.rewire), [1]

R

r1_add_kink_generator() (in module knotpy.reidemeister) r1_remove_kink_generator() (in module knotpy.reidemeister) r2_poke_generator() (in module knotpy.reidemeister) r2_unpoke_generator() (in module knotpy.reidemeister) r3_generator() (in module knotpy.reidemeister) r4_generator() (in module knotpy.reidemeister) r5_twist_generator() (in module knotpy.reidemeister) r5_untwist_generator() (in module knotpy.reidemeister) radius (Circle attribute), [1] random_reidemeister_move() (in module knotpy.reidemeister) randomize_diagram() (in module knotpy.reidemeister) reciprocal() (in module knotpy.utils.laurent), [1] reflect() (ZigZag method), [1] refresh() (ProgressBar method), [1] reidemeister_decreasing_moves_generator() (in module knotpy.reidemeister) reidemeister_increasing_moves_generator() (in module knotpy.reidemeister) reidemeister_moves_generator() (in module knotpy.reidemeister) reidemeister_preserving_moves_generator() (in module knotpy.reidemeister) relabel_nodes() (OrientedPlanarDiagram method) (PlanarDiagram method), [1] reload() (LazyDict method), [1] remove_arc() (in module knotpy.algorithms.remove), [1] (OrientedPlanarDiagram method) (PlanarDiagram method), [1]

remove_arcs_from() (OrientedPlanarDiagram method) (PlanarDiagram method), [1] remove_bivalent_vertex() (in module knotpy.algorithms.remove), [1] remove_bivalent_vertices() (in module knotpy.algorithms.remove), [1] remove_empty_levels() (LeveledSet method), [1] remove_empty_nodes() (in module knotpy.algorithms.remove), [1] remove_endpoint() (OrientedPlanarDiagram method) (PlanarDiagram method), [1] remove_endpoints_from() (OrientedPlanarDiagram method) (PlanarDiagram method), [1] remove_loops() (in module knotpy.algorithms.remove), [1] remove_node() (OrientedPlanarDiagram method) (PlanarDiagram method), [1] remove_nodes_from() (OrientedPlanarDiagram method) (PlanarDiagram method), [1] remove_unknots() (in module knotpy.algorithms.remove), [1] replug_endpoint() (in module knotpy.algorithms.rewire), [1] representatives() (DisjointSetUnion method), [1] RESET (ProgressBar attribute), [1] reverse() (in module knotpy.algorithms.symmetry), [1] reverse_type() (Endpoint static method), [1] (IngoingEndpoint static method), [1] (OutgoingEndpoint static method), [1] rotate() (in module knotpy.algorithms.tangle) (ZigZag method), [1]

S

S (ZigZag property), [1] sample() (PolySegment method), [1] (Segment method), [1] sanity_check() (in module knotpy.algorithms.sanity), [1] save_invariants() (in module knotpy.invariants.classifier), [1] scale() (Network method), [1] Segment (class in knotpy.utils.geometry), [1] set() (Cache method), [1] set_arc() (OrientedPlanarDiagram method) (PlanarDiagram method), [1] set_arcs_from() (OrientedPlanarDiagram method) (PlanarDiagram method), [1] set_comment() (ProgressBar method), [1] set_compass() (ZigZag method), [1] set_endpoint() (OrientedPlanarDiagram method) (PlanarDiagram method), [1] set_orientation() (OrientedCircularArc method) (Segment method), [1] setdefault() (Cache method) (ClassifierDict method) (IdentityDict method) (LazyDict method)

shorten() (OrientedCircularArc method) (Segment method), [1] sign() (OrientedPlanarDiagram method) (PlanarDiagram method) simulation() (in module knotpy.drawing.dynamic_network), [1] smoothed_speed (ProgressBar attribute) smoothen() (ZigZag method), [1] smoothen_crossing() (in module knotpy.invariants.skein), [1] sort() (Module method), [1] split() (in module knotpy.utils.geometry), [1] (ZigZag method), [1] start_time (ProgressBar attribute) step() (Network method), [1] subdivide_arc() (in module knotpy.algorithms.subdivide), [1] subdivide_arcs_around_node() (in module knotpy.algorithms.subdivide), [1] subdivide_endpoint() (in module knotpy.algorithms.subdivide), [1] subdivide_endpoint_by_crossing() (in module knotpy.algorithms.subdivide), [1] swap_endpoints() (in module knotpy.algorithms.rewire), [1]

T

tangent_line() (in module knotpy.utils.geometry), [1] tangle_decompositions() (in module knotpy.algorithms.tangle), [1] TangleExpr (class in knotpy.drawing.draw_tangle), [1] TangleProduct (class in knotpy.drawing.draw_tangle), [1] TangleSum (class in knotpy.drawing.draw_tangle), [1] test1() (in module knotpy.invariants.tests.test_gcd), [1] test2() (in module knotpy.invariants.tests.test_gcd), [1] test_add_crossings_from_and_degree_sequence() (in module knotpy.classes.tests.test_planardiagram), [1] test_add_sub_extend() (in module knotpy.utils.test.test_module), [1] test_add_vertices_and_arcs() (in module knotpy.classes.tests.test_planardiagram), [1] test_affine() (in module knotpy.invariants.tests.test_knotoids_hard), [1] test_affine_index_polynomial() (in module knotpy.invariants.tests.test_knotoids), [1] test_all_connected_sums() (in module knotpy.algorithms.tests.test_sums), [1] test_alternating() (in module knotpy.algorithms.tests.test_alternating), [1] test_angles_helpers() (in module knotpy.utils.test.test_geometry), [1] test_antipode_and_inversion() (in module knotpy.utils.test.test_geometry), [1] test_append_combines_like_terms() (in module knotpy.utils.test.test_module), [1] test_arc_cut_set() (in module knotpy.algorithms.tests.test_cut_set), [1] test_arc_from_circle_and_points_and_diameter() (in module knotpy.utils.test.test_geometry), [1] test_arrow() (in module knotpy.invariants.tests.test_knotoids_hard), [1] test_arrow_polynomial() (in module knotpy.invariants.tests.test_knotoids), [1] test_basic_circle_pack() (in module knotpy.utils.test.test_circlepack), [1] test_bisector_and_middle() (in module knotpy.utils.test.test_geometry), [1] test_bracket() (in module knotpy.invariants.tests.test_bracket), [1] (in module knotpy.invariants.tests.test_knotoids_hard), [1] test_bridges() (in module knotpy.algorithms.tests.test_features), [1] test_cache() (in module knotpy.invariants.tests.test_homflypt), [1] test_cache_eviction_on_full() (in module knotpy.utils.test.test_cache), [1] test_cache_insertion_and_length_limits() (in module knotpy.utils.test.test_cache), [1] test_canonical() (in module knotpy.algorithms.tests.test_canonical), [1] test_canonical_degenerate() (in module knotpy.algorithms.tests.test_canonical), [1] test_canonical_degenerate_oriented() (in module knotpy.algorithms.tests.test_canonical), [1] test_canonical_knots() (in module knotpy.algorithms.tests.test_canonical), [1] test_canonical_knots_oriented() (in module knotpy.algorithms.tests.test_canonical), [1] test_canonical_oriented() (in module knotpy.algorithms.tests.test_canonical), [1] test_canonicalize_under_permutation_with_sign_change() (in module knotpy.utils.test.test_laurent), [1] test_canonicalize_under_variable_permutation_minimal_rep() (in module knotpy.utils.test.test_laurent), [1] test_circle_circle_intersection_two_points() (in module knotpy.utils.test.test_geometry), [1] test_circle_circle_tangent_one_point() (in module knotpy.utils.test.test_geometry), [1] test_circle_contains_and_length() (in module knotpy.utils.test.test_geometry), [1] test_circle_through_points() (in module knotpy.utils.test.test_geometry), [1] test_circular_arc_contains_and_length() (in module knotpy.utils.test.test_geometry), [1] test_classifier_dict_groups_by_functions() (in module knotpy.utils.test.test_dict_utils), [1] test_closure() (in module knotpy.algorithms.tests.test_closure), [1] test_common_dict_empty_input() (in module knotpy.utils.test.test_dict_utils), [1] test_common_dict_intersection() (in module knotpy.utils.test.test_dict_utils), [1] test_compare_dicts_equal_simple() (in module knotpy.utils.test.test_dict_utils), [1] test_compare_dicts_exclude_and_include() (in module knotpy.utils.test.test_dict_utils), [1] test_compare_dicts_nested() (in module knotpy.utils.test.test_dict_utils), [1] test_compare_dicts_ordering_by_keys() (in module knotpy.utils.test.test_dict_utils), [1] test_compare_dicts_sets() (in module knotpy.utils.test.test_dict_utils), [1] test_compare_dicts_type_mismatch() (in module knotpy.utils.test.test_dict_utils), [1] test_compare_ordering_by_size_and_degree() (in module knotpy.classes.tests.test_planardiagram), [1] test_connected_sum() (in module knotpy.algorithms.tests.test_sums), [1] test_construct_and_basic_ops() (in module knotpy.utils.test.test_module), [1] test_contract_arc() (in module knotpy.algorithms.tests.test_contract), [1] test_contract_edge() (in module knotpy.algorithms.tests.test_contract), [1] test_contract_edge_attributes() (in module knotpy.algorithms.tests.test_contract), [1] test_copy_shallow_and_attr_independence() (in module knotpy.classes.tests.test_planardiagram), [1] test_cut_set_knotoid() (in module knotpy.algorithms.tests.test_cut_set), [1] test_cut_set_new() (in module knotpy.algorithms.tests.test_cut_set), [1] test_decompose() (in module knotpy.algorithms.tests.test_tangles), [1] test_deg_seq() (in module knotpy.algorithms.tests.test_degree_sequence), [1] test_deletion_contraction_cycle() (in module knotpy.invariants.tests.test_tutte), [1] test_deletion_contraction_parallel_edges() (in module knotpy.invariants.tests.test_tutte), [1] test_deletion_contraction_square_with_diagonal() (in module knotpy.invariants.tests.test_tutte), [1] test_dict() (in module knotpy.utils.test.test_dict), [1] test_disjoint_key_check() (in module knotpy.utils.test.test_circlepack), [1] test_disjoint_sum() (in module knotpy.algorithms.tests.test_disjoint_sum), [1] (in module knotpy.algorithms.tests.test_sums), [1] test_draw_all() (in module knotpy.drawing.tests.test_knotoids_strange), [1] test_draw_bonded() (in module knotpy.drawing.tests.test_draw), [1] test_draw_knot() (in module knotpy.drawing.tests.test_draw), [1] test_draw_knotoid() (in module knotpy.drawing.tests.test_draw), [1] test_draw_theta() (in module knotpy.drawing.tests.test_draw), [1] test_dsu() (in module knotpy.utils.test.test_dsu), [1] test_eviction_prefers_longest_key() (in module knotpy.utils.test.test_cache), [1] test_export() (in module knotpy.drawing.tests.test_export), [1] test_extract_variables_with_and_without_prefix() (in module knotpy.utils.test.test_laurent), [1] test_faces() (in module knotpy.classes.tests.test_faces), [1] test_filter_and_sort_and_equality() (in module knotpy.utils.test.test_module), [1] test_find_cut_sets() (in module knotpy.algorithms.tests.test_cut_set), [1] test_find_unknown_and_known() (in module knotpy.utils.test.test_dsu), [1] test_freeze() (in module knotpy.classes.tests.test_freezing), [1] test_from_plantri() (in module knotpy.notation.tests.test_plantri), [1] test_grid() (in module knotpy.utils.circlepack) test_group_by_invariants() (in module knotpy.invariants.tests.test_classifier), [1] test_hopf() (in module knotpy.classes.tests.test_faces), [1] test_iadd_and_setitem_shortcuts() (in module knotpy.utils.test.test_dsu), [1] test_identity_dict_missing_returns_key() (in module knotpy.utils.test.test_dict_utils), [1] test_init_and_add() (in module knotpy.utils.test.test_dsu), [1] test_insert_attr() (in module knotpy.algorithms.tests.test_insert), [1] test_inversion_preserves_count() (in module knotpy.utils.test.test_circlepack), [1] test_invert_around() (in module knotpy.utils.test.test_circlepack), [1] test_invert_dict_duplicate_value_raises() (in module knotpy.utils.test.test_dict_utils), [1] test_invert_dict_of_sets() (in module knotpy.utils.test.test_dict_utils), [1] test_invert_dict_unique_values() (in module knotpy.utils.test.test_dict_utils), [1] test_invert_multi_dict_groups() (in module knotpy.utils.test.test_dict_utils), [1]

test_invert_nested_dict() (in module knotpy.utils.test.test_dict_utils), [1] test_iter_components_and_len() (in module knotpy.utils.test.test_dsu), [1] test_jones() (in module knotpy.invariants.tests.test_jones), [1] test_kauffman_polynomial() (in module knotpy.invariants.tests.test_knotoids), [1] test_key_too_long_is_ignored() (in module knotpy.utils.test.test_cache), [1] test_knot_name() (in module knotpy.classes.tests.test_init), [1] test_lazy_eval() (in module knotpy.utils.test.test_lazy_dict), [1] test_lazy_load() (in module knotpy.utils.test.test_lazy_dict), [1] test_lazy_load_eval() (in module knotpy.utils.test.test_lazy_dict), [1] test_lazydict_loads_on_access_and_evaluates_once() (in module knotpy.utils.test.test_dict_utils), [1] test_lazydict_reload() (in module knotpy.utils.test.test_dict_utils), [1] test_leveled_set() (in module knotpy.utils.test.test_set_utils), [1] test_leveled_set_reidemeister() (in module knotpy.utils.test.test_set_utils), [1] test_leveledset_contains_and_extend() (in module knotpy.utils.test.test_set_utils), [1] test_leveledset_iter_level_indexing_and_errors() (in module knotpy.utils.test.test_set_utils), [1] test_leveledset_no_conversion_basic_levels_and_counts() (in module knotpy.utils.test.test_set_utils), [1] test_leveledset_remove_empty_levels_trailing_only() (in module knotpy.utils.test.test_set_utils), [1] test_leveledset_with_conversion_roundtrip_and_ops() (in module knotpy.utils.test.test_set_utils), [1] test_line_circle_intersection_two_points() (in module knotpy.utils.test.test_geometry), [1] test_line_param_and_contains() (in module knotpy.utils.test.test_geometry), [1] test_link() (in module knotpy.invariants.tests.test_multivariable_alexander), [1] test_mock() (in module knotpy.invariants.tests.test_knotoids_hard), [1] test_mock_polynomial() (in module knotpy.invariants.tests.test_knotoids), [1] test_module() (in module knotpy.utils.test.test_module), [1] test_native_notation_from() (in module knotpy.notation.tests.test_notation), [1] test_native_notation_to() (in module knotpy.notation.tests.test_notation), [1] test_native_notation_to_from() (in module knotpy.notation.tests.test_notation), [1] test_negative_radius_check() (in module knotpy.utils.test.test_circlepack), [1] test_normalization() (in module knotpy.utils.test.test_circlepack), [1] test_normalize_laurent_polynomial() (in module knotpy.utils.test.test_laurent), [1] test_normalize_laurent_polynomial_make_nonnegative() (in module knotpy.utils.test.test_laurent), [1] test_normalize_polynomial_basic() (in module knotpy.utils.test.test_laurent), [1] test_normalize_symmetric_centering_and_sign() (in module knotpy.utils.test.test_laurent), [1] test_nothing() (in module knotpy.classes.tests.test_nothing), [1] test_number_of_link_components() (in module knotpy.algorithms.tests.test_component_links), [1] test_order_2() (in module knotpy.algorithms.tests.test_cut_set), [1] test_orientation() (in module knotpy.algorithms.tests.test_orientation), [1] test_orientation_constraints_in_oriented_diagram() (in module knotpy.classes.tests.test_planardiagram), [1] test_oriented_circular_arc_shorten() (in module knotpy.utils.test.test_geometry), [1] test_path_compression_idempotence() (in module knotpy.utils.test.test_dsu), [1] test_perpendicular_arc_through_point_and_perpendicular_arc() (in module knotpy.utils.test.test_geometry), [1] test_perpendicular_line_and_tangent_line() (in module knotpy.utils.test.test_geometry), [1] test_pickability() (in module knotpy.classes.tests.test_pickle), [1] test_planar_diagram_from_data_with_instance() (in module knotpy.classes.tests.test_planardiagram), [1] test_polysegment_length_and_sample() (in module knotpy.utils.test.test_geometry), [1] test_powerset_basic() (in module knotpy.utils.test.test_set_utils), [1] test_pull_and_plug_endpoint_sanity() (in module knotpy.algorithms.tests.test_rewire), [1] test_radd_sum_zero_seed() (in module knotpy.utils.test.test_module), [1] test_reciprocal_roundtrip() (in module knotpy.utils.test.test_laurent), [1] test_refuse_replace_when_key_not_shorter() (in module knotpy.utils.test.test_cache), [1] test_relabel_nodes_updates_endpoints() (in module knotpy.classes.tests.test_planardiagram), [1] test_remove_arc_and_endpoints() (in module knotpy.classes.tests.test_planardiagram), [1] test_remove_bivalent_vertex() (in module knotpy.classes.tests.test_nodes), [1] test_remove_edge() (in module knotpy.algorithms.tests.test_remove), [1] test_representatives_and_classes() (in module knotpy.utils.test.test_dsu), [1] test_reverse() (in module knotpy.algorithms.tests.test_reverse), [1] test_sanity_raises_on_none_endpoints() (in module knotpy.algorithms.tests.test_sanity), [1] test_sanity_raises_on_oriented_arc_with_same_direction() (in module knotpy.algorithms.tests.test_sanity), [1] test_sanity_valid_diagram() (in module knotpy.algorithms.tests.test_sanity), [1] test_saver() (in module knotpy.invariants.tests.test_classifier), [1] test_scalar_multiply_divide() (in module knotpy.utils.test.test_module), [1] test_segment_contains_and_length() (in module knotpy.utils.test.test_geometry), [1] test_setitem_substitution() (in module knotpy.utils.test.test_module), [1] test_skein() (in module knotpy.algorithms.tests.test_skein), [1] test_split_and_bisect_segment_and_arc() (in module knotpy.utils.test.test_geometry), [1] test_sympy_coefficients() (in module knotpy.utils.test.test_module), [1] test_tangle_63() (in module knotpy.algorithms.tests.test_tangles), [1] test_thetas_recursive() (in module knotpy.invariants.tests.test_yamada), [1] test_thetas_sums() (in module knotpy.drawing.tests.test_draw), [1] test_to_dict_rep_map() (in module knotpy.utils.test.test_dsu), [1] test_to_set_and_unknown() (in module knotpy.utils.test.test_dsu), [1] test_union_and_connectivity() (in module knotpy.utils.test.test_dsu), [1] test_universal_list_of_lists_parser() (in module knotpy.utils.test.test_parser), [1] test_unknots() (in module knotpy.algorithms.tests.test_disjoint_sum), [1] test_value_partitioner() (in module knotpy.utils.test.test_value_partitioner), [1] test_weighted_center_and_orient_arc() (in module knotpy.utils.test.test_geometry), [1] test_yamada_examples_from_paper() (in module knotpy.invariants.tests.test_yamada), [1] test_yamada_moriuchi() (in module knotpy.invariants.tests.test_yamada), [1] test_yamada_polynomial() (in module knotpy.invariants.tests.test_knotoids), [1] test_yamada_reidemeister() (in module knotpy.invariants.tests.test_yamada), [1] tick() (ProgressBar method), [1] to_condensed_em_notation() (in module knotpy.notation.em), [1] to_condensed_pd_notation() (in module knotpy.notation.pd), [1] to_dict() (DisjointSetUnion method), [1] to_dt_notation() (in module knotpy.notation.dt), [1] to_em_notation() (in module knotpy.notation.em), [1] to_knotpy_notation() (in module knotpy.notation.native), [1] to_notation_dispatcher() (in module knotpy.notation.dispatcher), [1] to_pd_notation() (in module knotpy.notation.pd), [1] to_plantri_notation() (in module knotpy.notation.plantri), [1] to_set() (DisjointSetUnion method), [1] to_tuple() (Module method), [1] to_zigzag() (in module knotpy.drawing.draw_tangle), [1] total (ProgressBar attribute) total_ordering_from_compare() (in module knotpy.utils.decorators), [1] translate() (in module knotpy.utils.geometry) tutte() (in module knotpy.invariants.tutte), [1] twin() (OrientedPlanarDiagram method) (PlanarDiagram method), [1]

U

unfreeze() (in module knotpy.classes.freezing), [1] union() (DisjointSetUnion method), [1] (LeveledSet method), [1] unique_new_node_name() (in module knotpy.algorithms.naming), [1] universal_list_of_lists_parser() (in module knotpy.utils.parsing), [1] unorient() (in module knotpy.algorithms.orientation), [1]

unplugging() (in module knotpy.invariants.unplugging) update() (Cache method) (ClassifierDict method) (IdentityDict method) (LazyDict method) update_interval (ProgressBar attribute)

V

values() (ArcView method) (Cache method) (ClassifierDict method) (EndpointView method) (FaceView method) (FilteredNodeView method) (IdentityDict method) (LazyDict method), [1] (NodeView method)

vertices (OrientedPlanarDiagram property) (PlanarDiagram property) virtual_crossings (OrientedPlanarDiagram property) (PlanarDiagram property)

W

W (ZigZag property), [1] weighted_circle_center_mean() (in module knotpy.utils.geometry), [1]

width (ProgressBar attribute) (ZigZag property), [1] writhe() (in module knotpy.invariants.writhe)

Y

yamada() (in module knotpy.invariants.yamada)

Z

ZigZag (class in knotpy.drawing.draw_tangle), [1]