Hoste–Thistlethwaite–Weeks knot tables

E656662

knot table mathematical database reference work in knot theory

The Hoste–Thistlethwaite–Weeks knot tables are comprehensive, systematically generated lists of prime knots (and links) organized by crossing number, widely used as a modern extension and refinement of classical knot tabulations in knot theory.

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Statements (44)

Predicate	Object
instanceOf	knot table ⓘ mathematical database ⓘ reference work in knot theory ⓘ
appliesTo	links with multiple components ⓘ oriented knots ⓘ unoriented knots ⓘ
basedOn	systematic computer enumeration ⓘ
creator	Jeff Weeks NERFINISHED ⓘ Jim Hoste NERFINISHED ⓘ Morwen Thistlethwaite NERFINISHED ⓘ
extends	Alexander–Briggs knot tables NERFINISHED ⓘ Tait knot tables NERFINISHED ⓘ
field	knot theory ⓘ
hasFeature	canonical numbering within each crossing number ⓘ compatibility with standard knot notations ⓘ data suitable for computer processing ⓘ diagrams for each knot type ⓘ
includes	prime knots up to at least 16 crossings ⓘ prime links up to at least 10 crossings ⓘ
influenced	computational approaches in knot theory ⓘ modern electronic knot tables ⓘ
language	English ⓘ
organizedBy	crossing number ⓘ
property	comprehensive for small crossing numbers ⓘ computer-assisted ⓘ organized by minimal crossing number ⓘ systematically generated ⓘ
relatedTo	Knot Atlas NERFINISHED ⓘ Rolfsen knot table NERFINISHED ⓘ
subject	links ⓘ prime knots ⓘ
use	classification of knots ⓘ classification of links ⓘ comparison of knot invariants ⓘ computation of knot invariants ⓘ extension of classical knot tabulations ⓘ testing conjectures in knot theory ⓘ
usedBy	knot theorists ⓘ low-dimensional topologists ⓘ mathematical physicists ⓘ
usedFor	benchmarking knot recognition algorithms ⓘ building electronic knot databases ⓘ studying distribution of knot invariants ⓘ studying growth of number of knots with crossing number ⓘ

Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

Alexander–Briggs notation → relatedTo → Hoste–Thistlethwaite–Weeks knot tables ⓘ

Dowker–Thistlethwaite notation → usedIn → Hoste–Thistlethwaite–Weeks knot tables ⓘ