KnotInfo

KnotInfo: Table of Knots

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About

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Select knots by crossing number (13 crossing knot data in development and unverified)
3-6	7	8	9	10	11	12	3-12	13a	13n

Nomenclature
Name	DT Name	Conway Name	Gauss Notation
Name Rank	DT Notation	Conway Notation	Tetrahedral Census Name
PD Notation	DT Rank

3D Presentations and Properties
Adequate	Braid Notation	Pretzel Notation	Small or Large
Almost Alternating	Fibered	Quasialternating	Symmetry Type
Alternating	Monodromy	Seifert Matrix	Two-Bridge Notation
Boundary Slopes	Montesinos Notation

3D Numeric Invariants
Arc Index	Crossing Number	Ropelength	Tunnel Number
Braid Index	Determinant	Stick Number	Turaev Genus
Braid Length	Genus-3D	Super Bridge Index	Unknotting Number
Bridge Index	Mosaic/Tile-Number	Thurston-Bennequin Number	Unknotting Number-Algebraic
Clasp Number	Morse-Novikov Number	TorsionNumbers	Width
Crosscap Number	Nakanishi Index

Positivity and Strong Quasipositivity
Positive Braid	Positive	SQ-Positive	Q-Positive
Pos. Braid Notation	Pos. PD Notation	SQ-Postive Braid	Q-Positive Braid

4D Numeric Invariants smooth unless indicated algebraic (Alg.) or topologial (Top.)
Arf Invariant	Concordance Order	Concordance Genus (Top.)	Genus-4D (Top.)
Clasp Number-4D	Concordance Order (Alg.)	Double Slice Genus	Signature
Crosscap Number-4D	Concordance Order (Top.)	Genus-4D	Signature function
Crosscap Number-4D (Top.)	Concordance Genus

Polynomial Invariants
Alexander	Conway	Jones	Kauffman
A-Polynomial	HOMFLY

Vectorized Polynomial Invariants (click to view)
Alexander (vector)	Conway (vector)	Jones (vector)	Kauffman (vector)
A-Polynomial	HOMFLY (vector)

Knot Homology Properties and Numeric Invariants
Epsilon	Nu	Ozsvath-Szabo tau	Rasmussen s
L-space

Knot Homology Polynomial Invariants
KH Unred Z Poly	KH Red Z Poly	KH Red Q Poly	KH Red Mod2 Poly
KH Odd Red Z Poly	KH Odd Red Q Poly	KH Odd Red Mod2 Poly	HFK Polyomial

Vectorized Knot Homology Polynomial Invariants (click to view)
KH Unred Z Vector	KH Red Z Vector	KH Red Q Vector	KH Red Mod2 Vector
KH Odd Red Z Vector	KH Odd Red Q Vector	KH Odd Red Mod2 Vector	HFK Polyomial Vector

Hyperbolic Invariants
Chern-Simons Invariant	Longitude Length	Meridian Length	Max. Cusp Volume
Full Symmetry Group	Longitude Translation	Meridinal Translation	Volume
Other Short Geodesics