CensusKnotInfo

CensusKnotInfo: Table of Knots

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Select knots by tetrahedral complexity
2-5	6	7	8	9	All

Nomenclature
Name	Census Knot Name	DT Name	Snappy DT Name
Burton Name

Presentations
DT Code	PD Code	Extended Gauss Code	Braid Word

3D Presentations and Properties
Alternating	Quasi-Alternating	Adequacy	Homogenicity
2-Bridge Knot	Montesinos Knot	Double Branched Cover	Fibered
Fundamental Group	Small or Large

3D Numeric Invariants
Tetrahedral Complexity	Arc Index	Bridge Index	Braid Index
Canonical Genus	Crosscap Number	Crossing Number	Determinant
Morse-Novikov Number	3-Genus	Thurston-Bennequin Number	Self-Linking Number
Torsion Numbers	Tunnel Number	Turaev Genus	Unknotting Number

Positivity Notions
Positivity	Strongly Quasipositive	Quasipositive	Almost Positivity
Braid Positivity	Almost Braid Positivity

Symmetry Notions
Full Symmetry Group	Orientation Preserving Symmetry Group	Strongly Invertible	Isotopic to its Mirror

4D Numeric Invariants
Arf Invariant	Genus-4D	Genus-4D (Top.)	Signature
Signature Function

Polynomial Invariants
Alexander Polynomial	Conway Polynomial	Jones Polynomial	HOMFLYPT Polynomial
Kauffman Polynomial

Knot Heegaard Floer Homology Invariants
Knot Floer Homology	L-Space	Ozsvath-Szabo's tau	Epsilon
Nu

Khovanov Homology
Khovanov Homology

Hyperbolic Invariants
Systole	Meridian Length	Meridian Translation	Longitude Length
Longitude Translation	Volume	Chern-Simons Invariant