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Notation (knot, links, and knotted graphs encoding via EM and PD codes)
Reference
Examples
GitHub
Section Navigation
algorithms
alternating
is_alternating
is_face_alternating
attributes
clear_attributes
clear_diagram_attributes
clear_endpoint_attributes
clear_node_attributes
clear_temporary_attributes
clear_temporary_diagram_attributes
clear_temporary_endpoint_attributes
clear_temporary_node_attributes
canonical
closure
components_link
enumerate_link_components
link_components_endpoints
number_of_link_components
connected_sum
contract
contract_arc
cut_set
arc_cut_sets
cut_decomposition
cut_nodes
find_arc_cut_set
cycles
degree_sequence
disjoint_union
duality
arc_face_graph
dual_planar_diagram
insert
insert_arc
insert_endpoint
insert_loop
insert_new_leaf
parallelize_arc
join
bridge_join
crossing_join
naming
generate_node_names
multiple_unique_new_node_names
number_to_alpha
unique_new_node_name
orientation
orient
orient_edges
orientations
reverse
unorient
remove
remove_arc
remove_bivalent_vertex
remove_bivalent_vertices
remove_empty_nodes
remove_loops
remove_unknots
rewire
permute_node
pull_and_plug_endpoint
replug_endpoint
swap_endpoints
sanity
sanity_check
subdivide
subdivide_arc
subdivide_arcs_around_node
subdivide_endpoint
subdivide_endpoint_by_crossing
symmetry
flip
mirror
tangle
compose_tangles
is_integer_tangle
rotate
tangle_decompositions
tests
test_alternating
test_face_alternating
test_is_alternating
test_attributes__
test_canonical
test_canonical
test_canonical_degenerate
test_canonical_degenerate_oriented
test_canonical_knots
test_canonical_knots_oriented
test_canonical_oriented
test_closure
test_closure
test_component_links_
test_number_of_link_components
test_connected_sum__
test_contract_
test_contract_arc
test_contract_edge
test_contract_edge_attributes
test_cut_set_
test_arc_cut_set
test_cut_set_knotoid
test_cut_set_new
test_find_cut_sets
test_order_2
test_cycles__
test_degree_sequence_
test_deg_seq
test_disjoint_sum_
test_disjoint_sum
test_unknots
test_duality__
test_insert_
test_insert_attr
test_join__
test_naming___
test_orientation_
test_orientation
test_remove_
test_remove_edge
test_rewire_
test_pull_and_plug_endpoint_sanity
test_sanity_
test_sanity_raises_on_none_endpoints
test_sanity_raises_on_oriented_arc_with_same_direction
test_sanity_valid_diagram
test_subdivide__
test_symmetry___
test_tangle_
test_decompose
test_tangle_63
test_topology___
topology
bridges
edges
is_bridge
is_empty_diagram
is_kink
is_knot
is_knotoid
is_leaf
is_link
is_linkoid
is_loop
is_planar_graph
is_unknot
is_unlink
kink_region_iterator
kinks
leafs
loops
number_of_unknots
overstrands
path_from_endpoint
classes
endpoint
ensure_arc
ensure_endpoint
Endpoint
IngoingEndpoint
OutgoingEndpoint
freezing
freeze
frozen
lock
unfreeze
node
Node
planardiagram
Diagram
DiagramCollection
planar_diagram_from_data
OrientedPlanarDiagram
PlanarDiagram
tests
test_endpoint
test_faces
test_faces
test_hopf
test_freezing
test_freeze
test_init
test_knot_name
test_nodes
test_remove_bivalent_vertex
test_nothing
test_nothing
test_pickle
test_pickability
test_planardiagram
make_simple_diagram
test_add_crossings_from_and_degree_sequence
test_add_vertices_and_arcs
test_compare_ordering_by_size_and_degree
test_copy_shallow_and_attr_independence
test_orientation_constraints_in_oriented_diagram
test_planar_diagram_from_data_with_instance
test_relabel_nodes_updates_endpoints
test_remove_arc_and_endpoints
views
ArcView
EndpointView
FaceView
FilteredNodeView
NodeView
drawing
alignment
align_layouts
canonically_rotate_circles
draw
draw_tangle
add_corners_and_smoothen
angle_between_points
are_continuation
connect
crossings
draw
draw_smooth
integral
to_zigzag
TangleExpr
TangleProduct
TangleSum
ZigZag
drawing_defaults
dynamic_network
animate_simulation
plot_bead_frame
plot_force_history
plot_static_frame
simulation
Network
dynamic_simulation
init_network
export
export_pdf
export_pdf_groups
layout_circle_packing
tests
test_draw
DO_NOTtest_draw_bridges
test_draw_bonded
test_draw_knot
test_draw_knotoid
test_draw_theta
test_thetas_sums
test_export
test_export
test_knotoids_strange
test_draw_all
tutte_layout
invariants
affine_index
affine_index_polynomial
alexander
arrow
arrow_polynomial
disoriented_smoothing
bracket
cache
Cache
HashableSized
classifier
group_by_invariants
save_invariants
coloring
colorings
tricolorable
conway
fundamental_group
homflypt
jones
kauffman
mock_alexander
mock_alexander_polynomial
skein
crossing_to_vertex
smoothen_crossing
tests
test_alexander_minors
test_alexander_minors_functions
test_bracket
test_bracket
test_bracket_precomputed
test_bracket_vs_homflypt
test_classifier
first_letter
last_letter
test_group_by_invariants
test_saver
test_gcd
check_expressions
test1
test2
test_homfly_cache
test
test_homflypt
test_homflypt
test_precomputed_speed
test_jones
test_jones
test_jones_vs_homflypt
test_knotoids
test_affine_index_polynomial
test_arrow_polynomial
test_kauffman_polynomial
test_mock_polynomial
test_yamada_polynomial
test_knotoids_hard
test_affine
test_arrow
test_bracket
test_mock
test_multivariable_alexander
test_link
test_tutte
test_deletion_contraction_cycle
test_deletion_contraction_parallel_edges
test_deletion_contraction_square_with_diagonal
test_yamada
test_thetas_recursive
test_yamada_examples_from_paper
test_yamada_moriuchi
test_yamada_reidemeister
tutte
deletion_contraction
tutte
unplugging
writhe
yamada
notation
dispatcher
from_notation_dispatcher
to_notation_dispatcher
dt
flatten_nested_list
from_dt_notation
to_dt_notation
em
from_condensed_em_notation
from_em_notation
to_condensed_em_notation
to_em_notation
native
from_knotpy_notation
to_knotpy_notation
pd
from_condensed_pd_notation
from_pd_notation
to_condensed_pd_notation
to_pd_notation
plantri
from_plantri_notation
to_plantri_notation
tests
test_notation
test_native_notation_from
test_native_notation_to
test_native_notation_to_from
test_plantri
test_from_plantri
reidemeister
all_reidemeister_moves
detour_generator
flype_generator
r1_add_kink_generator
r1_remove_kink_generator
r2_poke_generator
r2_unpoke_generator
r3_generator
r4_generator
r5_twist_generator
r5_untwist_generator
random_reidemeister_move
randomize_diagram
reidemeister_decreasing_moves_generator
reidemeister_increasing_moves_generator
reidemeister_moves_generator
reidemeister_preserving_moves_generator
utils
cache
Cache
circlepack
acxyz
circle_pack
flower
invert_around
invert_packing
normalize_packing
place
test_grid
decorators
total_ordering_from_compare
dict_utils
common_dict
compare_dicts
invert_dict
invert_dict_of_sets
invert_multi_dict
invert_nested_dict
ClassifierDict
IdentityDict
LazyDict
disjoint_union_set
DisjointSetUnion
geometry
angle_between
antipode
arc_from_circle_and_points
arc_from_diameter
bisect
bisector
bounding_box
circle_through_points
inverse_point_through_circle
is_angle_between
middle
orient_arc
perpendicular_arc
perpendicular_arc_through_point
perpendicular_line
split
tangent_line
translate
weighted_circle_center_mean
BoundingBox
Circle
CircularArc
Line
OrientedCircularArc
PolySegment
Segment
laurent
extract_variables
laurent_to_tuples
normalize_laurent
normalize_symmetric
reciprocal
tuples_to_laurent
module
Module
parsing
parse_arc
parse_arcs
parse_endpoint
parse_spaced_rows
universal_list_of_lists_parser
progressbar
ProgressBar
bar
set_utils
powerset
LeveledSet
string_utils
multi_replace
test
test_cache
test_cache_eviction_on_full
test_cache_insertion_and_length_limits
test_eviction_prefers_longest_key
test_key_too_long_is_ignored
test_refuse_replace_when_key_not_shorter
test_circlepack
test_basic_circle_pack
test_disjoint_key_check
test_inversion_preserves_count
test_invert_around
test_negative_radius_check
test_normalization
test_combinatorics
test_dict
test_dict
test_dict_utils
test_classifier_dict_groups_by_functions
test_common_dict_empty_input
test_common_dict_intersection
test_compare_dicts_equal_simple
test_compare_dicts_exclude_and_include
test_compare_dicts_nested
test_compare_dicts_ordering_by_keys
test_compare_dicts_sets
test_compare_dicts_type_mismatch
test_identity_dict_missing_returns_key
test_invert_dict_duplicate_value_raises
test_invert_dict_of_sets
test_invert_dict_unique_values
test_invert_multi_dict_groups
test_invert_nested_dict
test_lazydict_loads_on_access_and_evaluates_once
test_lazydict_reload
test_dsu
test_dsu
test_find_unknown_and_known
test_iadd_and_setitem_shortcuts
test_init_and_add
test_iter_components_and_len
test_path_compression_idempotence
test_representatives_and_classes
test_to_dict_rep_map
test_to_set_and_unknown
test_union_and_connectivity
test_geometry
test_angles_helpers
test_antipode_and_inversion
test_arc_from_circle_and_points_and_diameter
test_bisector_and_middle
test_circle_circle_intersection_two_points
test_circle_circle_tangent_one_point
test_circle_contains_and_length
test_circle_through_points
test_circular_arc_contains_and_length
test_line_circle_intersection_two_points
test_line_param_and_contains
test_oriented_circular_arc_shorten
test_perpendicular_arc_through_point_and_perpendicular_arc
test_perpendicular_line_and_tangent_line
test_polysegment_length_and_sample
test_segment_contains_and_length
test_split_and_bisect_segment_and_arc
test_weighted_center_and_orient_arc
test_laurent
test_alexander_cases
test_canonicalize_under_permutation_with_sign_change
test_canonicalize_under_variable_permutation_minimal_rep
test_extract_variables_with_and_without_prefix
test_laurent_div_2
test_laurent_tuples
test_normalize_laurent_basic
test_normalize_laurent_polynomial
test_normalize_laurent_polynomial_make_nonnegative
test_normalize_symmetric_centering_and_sign
test_reciprocal_roundtrip
test_laurent_2
test_normalize_laurent
test_lazy_dict
test_lazy_eval
test_lazy_load
test_lazy_load_eval
test_module
test_add_sub_extend
test_append_combines_like_terms
test_construct_and_basic_ops
test_filter_and_sort_and_equality
test_module
test_radd_sum_zero_seed
test_scalar_multiply_divide
test_setitem_substitution
test_sympy_coefficients
test_parser
test_universal_list_of_lists_parser
test_set_utils
test_leveled_set
test_leveled_set_reidemeister
test_leveledset_contains_and_extend
test_leveledset_iter_level_indexing_and_errors
test_leveledset_no_conversion_basic_levels_and_counts
test_leveledset_remove_empty_levels_trailing_only
test_leveledset_with_conversion_roundtrip_and_ops
test_powerset_basic
test_value_partitioner
mod2
mod3
test_value_partitioner
Reference
invariants
tests
test_bracket
test_bracket_vs_homflypt
test_bracket_vs_homflypt
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test_bracket_vs_homflypt
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test_bracket_vs_homflypt()
