View source for Invariant Definition Table

{{Invariant Definition Table Warning}}
<table width="100%">
<tr>
<th>Invariant name</th>
   <th>KnotInfoTag</th>
   <th>KnotTheory</th>
   <th>KnotTheorySetter</th>
   <th>ReadWiki</th>
   <th>Type</th>
   <th>WikiPage</th>
</tr>
<tr>
<!-- Invariant name --> <td>Crossings</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>Crossings</td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>Link Presentation</td>
<!-- WikiPage =            --> <td>Crossings</td>
</tr>
<tr>
<!-- Invariant name --> <td>Knot Number</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>KnotNumber</td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>Link Presentation</td>
<!-- WikiPage =            --> <td>Number</td>
</tr>
<tr>
<!-- Invariant name --> <td>Knotilus URL</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>"["<>KnotilusURL[#]<>" "<>NameString[#]<>"'s page]"&</td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>Navigation</td>
<!-- WikiPage =            --> <td>KnotilusURL</td>
</tr>
<tr>
<!-- Invariant name --> <td>Next Knot</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>NextKnot</td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td>Knot</td>
<!-- Type =                --> <td>Navigation</td>
<!-- WikiPage =            --> <td>Next_Knot</td>
</tr>
<tr>
<!-- Invariant name --> <td>Previous Knot</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>PreviousKnot</td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td>Knot</td>
<!-- Type =                --> <td>Navigation</td>
<!-- WikiPage =            --> <td>Previous_Knot</td>
</tr>
<tr>
<!-- Invariant name --> <td>Gauss Code</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>GaussCode</td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td>GaussCode</td>
<!-- Type =                --> <td>Link Presentation</td>
<!-- WikiPage =            --> <td>Gauss_Code</td>
</tr>
<tr>
<!-- Invariant name --> <td>Planar Diagram</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>PD</td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td>PD</td>
<!-- Type =                --> <td>Link Presentation</td>
<!-- WikiPage =            --> <td>PD_Presentation</td>
</tr>
<tr>
<!-- Invariant name --> <td>Dowker-Thistlethwaite Code</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>DTCode</td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td>DTCode</td>
<!-- Type =                --> <td>Knot Presentation</td>
<!-- WikiPage =            --> <td>DT_Code</td>
</tr>
<tr>
<!-- Invariant name --> <td>Minimal Braid Length</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>Crossings[BR[#]]&</td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>Knot Presentation</td>
<!-- WikiPage =            --> <td>MinimalBraidLength</td>
</tr>
<tr>
<!-- Invariant name --> <td>Minimal Braid Width</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>First[BR[#]]&</td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>Knot Presentation</td>
<!-- WikiPage =            --> <td>MinimalBraidWidth</td>
</tr>
<tr>
<!-- Invariant name --> <td>Braid Index</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>BraidIndex</td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>Knot Presentation</td>
<!-- WikiPage =            --> <td>BraidIndex</td>
</tr>
<tr>
<!-- Invariant name --> <td>Braid Plot</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>BraidPlot[CollapseBraid[BR[#]], Mode -> "Wiki", Images -> {"BraidPart0.gif", "BraidPart1.gif",                     "BraidPart2.gif", "BraidPart3.gif", "BraidPart4.gif"}]&</td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>Knot Presentation</td>
<!-- WikiPage =            --> <td>BraidPlot</td>
</tr>
<tr>
<!-- Invariant name --> <td>SymmetryType</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>SymmetryType</td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td>SymmetryType</td>
<!-- Type =                --> <td>3D Invariant</td>
<!-- WikiPage =            --> <td>Symmetry_Type</td>
</tr>
<tr>
<!-- Invariant name --> <td>UnknottingNumber</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>UnknottingNumber</td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>3D Invariant</td>
<!-- WikiPage =            --> <td>Unknotting_Number</td>
</tr>
<tr>
<!-- Invariant name --> <td>ThreeGenus</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>ThreeGenus</td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>3D Invariant</td>
<!-- WikiPage =            --> <td>3-Genus</td>
</tr>
<tr>
<!-- Invariant name --> <td>ConcordanceGenus</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>ConcordanceGenus</td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>3D Invariant</td>
<!-- WikiPage =            --> <td>ConcordanceGenus</td>
</tr>
<tr>
<!-- Invariant name --> <td>BridgeIndex</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>BridgeIndex</td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>3D Invariant</td>
<!-- WikiPage =            --> <td>Bridge_Index</td>
</tr>
<tr>
<!-- Invariant name --> <td>SuperBridgeIndex</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>SuperBridgeIndex</td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>3D Invariant</td>
<!-- WikiPage =            --> <td>Super_Bridge_Index</td>
</tr>
<tr>
<!-- Invariant name --> <td>NakanishiIndex</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>NakanishiIndex</td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>3D Invariant</td>
<!-- WikiPage =            --> <td>Nakanishi_Index</td>
</tr>
<tr>
<!-- Invariant name --> <td>Jones</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>Jones[#1][q] & </td>
<!-- KnotTheorySetter =    --> <td>Jones[#1] = Function[{q}, #2];&</td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>Polynomial Invariant</td>
<!-- WikiPage =            --> <td>Jones_Polynomial</td>
</tr>
<tr>
<!-- Invariant name --> <td>Alexander</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>Alexander[#1][t] & </td>
<!-- KnotTheorySetter =    --> <td>Alexander[#1] = Function[{t}, #2];&</td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>Polynomial Invariant</td>
<!-- WikiPage =            --> <td>Alexander_Polynomial</td>
</tr>
<tr>
<!-- Invariant name --> <td>Multivariable Alexander</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>MultivariableAlexander[#1][t] & </td>
<!-- KnotTheorySetter =    --> <td>MultivariableAlexander[#1] = Function[{t}, #2];&</td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>Polynomial Invariant</td>
<!-- WikiPage =            --> <td>Multivariable_Alexander</td>
</tr>
<tr>
<!-- Invariant name --> <td>Determinant</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>KnotDet</td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>Polynomial Invariant</td>
<!-- WikiPage =            --> <td>Determinant</td>
</tr>
<tr>
<!-- Invariant name --> <td>Signature</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>KnotSignature</td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>Polynomial Invariant</td>
<!-- WikiPage =            --> <td>Signature</td>
</tr>
<tr>
<!-- Invariant name --> <td>Conway</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>Conway[#1][z] & </td>
<!-- KnotTheorySetter =    --> <td>Conway[#1] = Function[{z}, #2];&</td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>Polynomial Invariant</td>
<!-- WikiPage =            --> <td>Conway_Polynomial</td>
</tr>
<tr>
<!-- Invariant name --> <td>HOMFLYPT</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>HOMFLYPT[#1][a, z] & </td>
<!-- KnotTheorySetter =    --> <td>HOMFLYPT[#1] = Function[{a, z}, #2];&</td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>Polynomial Invariant</td>
<!-- WikiPage =            --> <td>HOMFLYPT_Polynomial</td>
</tr>
<tr>
<!-- Invariant name --> <td>Kauffman</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>Kauffman[#1][a, z] & </td>
<!-- KnotTheorySetter =    --> <td>Kauffman[#1] = Function[{a, z}, #2];&</td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>Polynomial Invariant</td>
<!-- WikiPage =            --> <td>Kauffman_Polynomial</td>
</tr>
<tr>
<!-- Invariant name --> <td>Khovanov-Rozansky Polynomial</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td></td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>Polynomial Invariant</td>
<!-- WikiPage =            --> <td>Khovanov_Rozansky_Polynomial</td>
</tr>
<tr>
<!-- Invariant name --> <td>Vassiliev2</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>Vassiliev[2]</td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>Vassiliev Invariant</td>
<!-- WikiPage =            --> <td>V_2</td>
</tr>
<tr>
<!-- Invariant name --> <td>Vassiliev3</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>Vassiliev[3]</td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>Vassiliev Invariant</td>
<!-- WikiPage =            --> <td>V_3</td>
</tr>
<tr>
<!-- Invariant name --> <td>Smooth 4-Genus</td>
<!-- KnotInfoTag =         --> <td>smooth_4_genus</td>
<!-- KnotTheory =          --> <td></td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>4D Invariant</td>
<!-- WikiPage =            --> <td>Smooth4Genus</td>
</tr>
<tr>
<!-- Invariant name --> <td>Topological 4-Genus</td>
<!-- KnotInfoTag =         --> <td>topological_4_genus</td>
<!-- KnotTheory =          --> <td></td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>4D Invariant</td>
<!-- WikiPage =            --> <td>Topological4Genus</td>
</tr>
<tr>
<!-- Invariant name --> <td>Thurston-Bennequin Number</td>
<!-- KnotInfoTag =         --> <td>thurston_bennequin_number</td>
<!-- KnotTheory =          --> <td></td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>3D Invariant</td>
<!-- WikiPage =            --> <td>ThurstonBennequinNumber</td>
</tr>
<tr>
<!-- Invariant name --> <td>Hyperbolic Volume</td>
<!-- KnotInfoTag =         --> <td>volume</td>
<!-- KnotTheory =          --> <td>HyperbolicVolume</td>
<!-- KnotTheorySetter =    --> <td>HyperbolicVolume[#1]=#2;&</td>
<!-- ReadWiki =            --> <td>HyperbolicVolume</td>
<!-- Type =                --> <td>Hyperbolic Invariant</td>
<!-- WikiPage =            --> <td>HyperbolicVolume</td>
</tr>
<tr>
<!-- Invariant name --> <td>Conway Notation</td>
<!-- KnotInfoTag =         --> <td>conway_notation</td>
<!-- KnotTheory =          --> <td></td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>Knot Presentation</td>
<!-- WikiPage =            --> <td>Conway Notation</td>
</tr>
<tr>
<!-- Invariant name --> <td>Concordance Order</td>
<!-- KnotInfoTag =         --> <td>concordance_order</td>
<!-- KnotTheory =          --> <td></td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>Concordance Invariant</td>
<!-- WikiPage =            --> <td>ConcordanceOrder</td>
</tr>
<tr>
<!-- Invariant name --> <td>Algebraic Concordance Order</td>
<!-- KnotInfoTag =         --> <td>concordance_order_algebraic</td>
<!-- KnotTheory =          --> <td></td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>Concordance Invariant</td>
<!-- WikiPage =            --> <td>AlgebraicConcordanceOrder</td>
</tr>
<tr>
<!-- Invariant name --> <td>Ozsvath-Szabo Tau Invariant</td>
<!-- KnotInfoTag =         --> <td>ozsvath_szabo_tau</td>
<!-- KnotTheory =          --> <td></td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>4D Invariant</td>
<!-- WikiPage =            --> <td>TauInvariant</td>
</tr>
<tr>
<!-- Invariant name --> <td>Khovanov s-Invariant</td>
<!-- KnotInfoTag =         --> <td>khovanov_s_invariant</td>
<!-- KnotTheory =          --> <td></td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>4D Invariant</td>
<!-- WikiPage =            --> <td>s-Invariant</td>
</tr>
<tr>
<!-- Invariant name --> <td>Rational Khovanov Polynomial</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>Kh[#1][q, t] & </td>
<!-- KnotTheorySetter =    --> <td>Kh[#1] = Function[{q, t}, #2];&</td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>Polynomial Invariant</td>
<!-- WikiPage =            --> <td>Rational_Khovanov_Polynomial</td>
</tr>
<tr>
<!-- Invariant name --> <td>Khovanov Polynomial Table</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td>TabularKh[Kh[#][q, t], KnotSignature[#]+{1,-1}]&</td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td>Polynomial Invariant</td>
<!-- WikiPage =            --> <td>KhovanovTable</td>
</tr>
<tr>
<!-- Invariant name --> <td>A-polynomial</td>
<!-- KnotInfoTag =         --> <td></td>
<!-- KnotTheory =          --> <td></td>
<!-- KnotTheorySetter =    --> <td></td>
<!-- ReadWiki =            --> <td></td>
<!-- Type =                --> <td></td>
<!-- WikiPage =            --> <td>A-polynomial</td>
</tr>
</table>