KnotInfo: Table of Knots
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Use the advanced features to specify the knots you want tabulated. Then select invariants and properties from the sections below. Click SUBMIT anywhere to produce your desired table.

Either select knots you want tabulated by selecting specific search criteria:

Or specify search criterion with text input:

e.g.: (signature=0 and rasmussen_invariant != 0) or alexander_polynomial='1' [Search Help]

The result includes knots with unknown values of the invariants used in the search criterion (including those with range values).

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 Torsion Numbers 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
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

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