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2026-04-07T16:25:30Z
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https://katlas.org/index.php?title=Invariant_Definition_Table&diff=48205
Invariant Definition Table
2005-09-06T06:09:37Z
<p>ScottSysopRobot: </p>
<hr />
<div>{{Invariant Definition Table Warning}}<br />
<table width="100%"><br />
<tr><br />
<th>Invariant name</th><br />
<th>KnotTheory</th><br />
<th>LivingstonTag</th><br />
<th>ReadLivingston</th><br />
<th>ReadWiki</th><br />
<th>Type</th><br />
<th>WikiPage</th><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Next Knot</td><br />
<!-- KnotTheory = --> <td>NextKnot</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>Knot</td><br />
<!-- Type = --> <td>Navigation</td><br />
<!-- WikiPage = --> <td>Next_Knot</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Previous Knot</td><br />
<!-- KnotTheory = --> <td>PreviousKnot</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>Knot</td><br />
<!-- Type = --> <td>Navigation</td><br />
<!-- WikiPage = --> <td>Previous_Knot</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Gauss Code</td><br />
<!-- KnotTheory = --> <td>GaussCode</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>GaussCode</td><br />
<!-- Type = --> <td>Link Presentation</td><br />
<!-- WikiPage = --> <td>Gauss_Code</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Planar Diagram</td><br />
<!-- KnotTheory = --> <td>PD</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>PD</td><br />
<!-- Type = --> <td>Link Presentation</td><br />
<!-- WikiPage = --> <td>PD_Presentation</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Dowker-Thistlethwaite Code</td><br />
<!-- KnotTheory = --> <td>DTCode</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>DTCode</td><br />
<!-- Type = --> <td>Knot Presentation</td><br />
<!-- WikiPage = --> <td>DT_Code</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>SymmetryType</td><br />
<!-- KnotTheory = --> <td>SymmetryType</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>SymmetryType</td><br />
<!-- Type = --> <td>3D Invariant</td><br />
<!-- WikiPage = --> <td>Symmetry_Type</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>UnknottingNumber</td><br />
<!-- KnotTheory = --> <td>UnknottingNumber</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td></td><br />
<!-- Type = --> <td>3D Invariant</td><br />
<!-- WikiPage = --> <td>Unknotting_Number</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>ThreeGenus</td><br />
<!-- KnotTheory = --> <td>ThreeGenus</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td></td><br />
<!-- Type = --> <td>3D Invariant</td><br />
<!-- WikiPage = --> <td>3-Genus</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>BridgeIndex</td><br />
<!-- KnotTheory = --> <td>BridgeIndex</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td></td><br />
<!-- Type = --> <td>3D Invariant</td><br />
<!-- WikiPage = --> <td>Bridge_Index</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>SuperBridgeIndex</td><br />
<!-- KnotTheory = --> <td>SuperBridgeIndex</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td></td><br />
<!-- Type = --> <td>3D Invariant</td><br />
<!-- WikiPage = --> <td>Super_Bridge_Index</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>NakanishiIndex</td><br />
<!-- KnotTheory = --> <td>NakanishiIndex</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td></td><br />
<!-- Type = --> <td>3D Invariant</td><br />
<!-- WikiPage = --> <td>Nakanishi_Index</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Jones</td><br />
<!-- KnotTheory = --> <td>Jones[#1][q] & </td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td></td><br />
<!-- Type = --> <td>Polynomial Invariant</td><br />
<!-- WikiPage = --> <td>Jones_Polynomial</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Alexander</td><br />
<!-- KnotTheory = --> <td>Alexander[#1][t] & </td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td></td><br />
<!-- Type = --> <td>Polynomial Invariant</td><br />
<!-- WikiPage = --> <td>Alexander_Polynomial</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Determinant</td><br />
<!-- KnotTheory = --> <td>KnotDet</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td></td><br />
<!-- Type = --> <td>Polynomial Invariant</td><br />
<!-- WikiPage = --> <td>Determinant</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Signature</td><br />
<!-- KnotTheory = --> <td>KnotSignature</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td></td><br />
<!-- Type = --> <td>Polynomial Invariant</td><br />
<!-- WikiPage = --> <td>Signature</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Conway</td><br />
<!-- KnotTheory = --> <td>Conway[#1][z] & </td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td></td><br />
<!-- Type = --> <td>Polynomial Invariant</td><br />
<!-- WikiPage = --> <td>Conway_Polynomial</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>HOMFLYPT</td><br />
<!-- KnotTheory = --> <td>HOMFLYPT[#1][a, z] & </td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td></td><br />
<!-- Type = --> <td>Polynomial Invariant</td><br />
<!-- WikiPage = --> <td>HOMFLYPT_Polynomial</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Kauffman</td><br />
<!-- KnotTheory = --> <td>Kauffman[#1][a, z] & </td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td></td><br />
<!-- Type = --> <td>Polynomial Invariant</td><br />
<!-- WikiPage = --> <td>Kauffman_Polynomial</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Vassiliev2</td><br />
<!-- KnotTheory = --> <td>Vassiliev[2]</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td></td><br />
<!-- Type = --> <td>Vassiliev Invariant</td><br />
<!-- WikiPage = --> <td>V_2</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Vassiliev3</td><br />
<!-- KnotTheory = --> <td>Vassiliev[3]</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td></td><br />
<!-- Type = --> <td>Vassiliev Invariant</td><br />
<!-- WikiPage = --> <td>V_3</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Smooth 4-Genus</td><br />
<!-- KnotTheory = --> <td></td><br />
<!-- LivingstonTag = --> <td>smooth_4_genus</td><br />
<!-- ReadLivingston = --> <td>FromLivingstonString</td><br />
<!-- ReadWiki = --> <td></td><br />
<!-- Type = --> <td>4D Invariant</td><br />
<!-- WikiPage = --> <td>Smooth4Genus</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Topological 4-Genus</td><br />
<!-- KnotTheory = --> <td></td><br />
<!-- LivingstonTag = --> <td>topological_4_genus</td><br />
<!-- ReadLivingston = --> <td>FromLivingstonString</td><br />
<!-- ReadWiki = --> <td></td><br />
<!-- Type = --> <td>4D Invariant</td><br />
<!-- WikiPage = --> <td>Topological4Genus</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Thurston-Bennequin Number</td><br />
<!-- KnotTheory = --> <td></td><br />
<!-- LivingstonTag = --> <td>thurston_bennequin_number</td><br />
<!-- ReadLivingston = --> <td>(ToExpression/@StringCases[#,"["~~a__~~"]:>a]&)</td><br />
<!-- ReadWiki = --> <td></td><br />
<!-- Type = --> <td>3D Invariant</td><br />
<!-- WikiPage = --> <td>ThurstonBennequinNumber</td><br />
</tr><br />
</table></div>
ScottSysopRobot
https://katlas.org/index.php?title=Invariant_Definition_Table&diff=48204
Invariant Definition Table
2005-09-06T06:08:53Z
<p>ScottSysopRobot: </p>
<hr />
<div>{{Invariant Definition Table Warning}}<br />
<table width="100%"><br />
<tr><br />
<th>Invariant name</th><br />
<th>KnotTheory</th><br />
<th>LivingstonTag</th><br />
<th>ReadLivingston</th><br />
<th>ReadWiki</th><br />
<th>Type</th><br />
<th>WikiPage</th><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Next Knot</td><br />
<!-- KnotTheory = --> <td>NextKnot</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>Knot</td><br />
<!-- Type = --> <td>Navigation</td><br />
<!-- WikiPage = --> <td>Next_Knot</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Previous Knot</td><br />
<!-- KnotTheory = --> <td>PreviousKnot</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>Knot</td><br />
<!-- Type = --> <td>Navigation</td><br />
<!-- WikiPage = --> <td>Previous_Knot</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Gauss Code</td><br />
<!-- KnotTheory = --> <td>GaussCode</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>GaussCode</td><br />
<!-- Type = --> <td>Link Presentation</td><br />
<!-- WikiPage = --> <td>Gauss_Code</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Planar Diagram</td><br />
<!-- KnotTheory = --> <td>PD</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>PD</td><br />
<!-- Type = --> <td>Link Presentation</td><br />
<!-- WikiPage = --> <td>PD_Presentation</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Dowker-Thistlethwaite Code</td><br />
<!-- KnotTheory = --> <td>DTCode</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>DTCode</td><br />
<!-- Type = --> <td>Knot Presentation</td><br />
<!-- WikiPage = --> <td>DT_Code</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>SymmetryType</td><br />
<!-- KnotTheory = --> <td>SymmetryType</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>SymmetryType</td><br />
<!-- Type = --> <td>3D Invariant</td><br />
<!-- WikiPage = --> <td>Symmetry_Type</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>UnknottingNumber</td><br />
<!-- KnotTheory = --> <td>UnknottingNumber</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- Type = --> <td>3D Invariant</td><br />
<!-- WikiPage = --> <td>Unknotting_Number</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>ThreeGenus</td><br />
<!-- KnotTheory = --> <td>ThreeGenus</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- Type = --> <td>3D Invariant</td><br />
<!-- WikiPage = --> <td>3-Genus</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>BridgeIndex</td><br />
<!-- KnotTheory = --> <td>BridgeIndex</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- Type = --> <td>3D Invariant</td><br />
<!-- WikiPage = --> <td>Bridge_Index</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>SuperBridgeIndex</td><br />
<!-- KnotTheory = --> <td>SuperBridgeIndex</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- Type = --> <td>3D Invariant</td><br />
<!-- WikiPage = --> <td>Super_Bridge_Index</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>NakanishiIndex</td><br />
<!-- KnotTheory = --> <td>NakanishiIndex</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- Type = --> <td>3D Invariant</td><br />
<!-- WikiPage = --> <td>Nakanishi_Index</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Jones</td><br />
<!-- KnotTheory = --> <td>Jones[#1][q] & </td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- Type = --> <td>Polynomial Invariant</td><br />
<!-- WikiPage = --> <td>Jones_Polynomial</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Alexander</td><br />
<!-- KnotTheory = --> <td>Alexander[#1][t] & </td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- Type = --> <td>Polynomial Invariant</td><br />
<!-- WikiPage = --> <td>Alexander_Polynomial</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Determinant</td><br />
<!-- KnotTheory = --> <td>KnotDet</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- Type = --> <td>Polynomial Invariant</td><br />
<!-- WikiPage = --> <td>Determinant</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Signature</td><br />
<!-- KnotTheory = --> <td>KnotSignature</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- Type = --> <td>Polynomial Invariant</td><br />
<!-- WikiPage = --> <td>Signature</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Conway</td><br />
<!-- KnotTheory = --> <td>Conway[#1][z] & </td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- Type = --> <td>Polynomial Invariant</td><br />
<!-- WikiPage = --> <td>Conway_Polynomial</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>HOMFLYPT</td><br />
<!-- KnotTheory = --> <td>HOMFLYPT[#1][a, z] & </td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- Type = --> <td>Polynomial Invariant</td><br />
<!-- WikiPage = --> <td>HOMFLYPT_Polynomial</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Kauffman</td><br />
<!-- KnotTheory = --> <td>Kauffman[#1][a, z] & </td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- Type = --> <td>Polynomial Invariant</td><br />
<!-- WikiPage = --> <td>Kauffman_Polynomial</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Vassiliev2</td><br />
<!-- KnotTheory = --> <td>Vassiliev[2]</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- Type = --> <td>Vassiliev Invariant</td><br />
<!-- WikiPage = --> <td>V_2</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Vassiliev3</td><br />
<!-- KnotTheory = --> <td>Vassiliev[3]</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- Type = --> <td>Vassiliev Invariant</td><br />
<!-- WikiPage = --> <td>V_3</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Smooth 4-Genus</td><br />
<!-- KnotTheory = --> <td></td><br />
<!-- LivingstonTag = --> <td>smooth_4_genus</td><br />
<!-- ReadLivingston = --> <td>FromLivingstonString</td><br />
<!-- Type = --> <td>4D Invariant</td><br />
<!-- WikiPage = --> <td>Smooth4Genus</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Topological 4-Genus</td><br />
<!-- KnotTheory = --> <td></td><br />
<!-- LivingstonTag = --> <td>topological_4_genus</td><br />
<!-- ReadLivingston = --> <td>FromLivingstonString</td><br />
<!-- Type = --> <td>4D Invariant</td><br />
<!-- WikiPage = --> <td>Topological4Genus</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Thurston-Bennequin Number</td><br />
<!-- KnotTheory = --> <td></td><br />
<!-- LivingstonTag = --> <td>thurston_bennequin_number</td><br />
<!-- ReadLivingston = --> <td>(ToExpression/@StringCases[#,"["~~a__~~"]:>a]&)</td><br />
<!-- Type = --> <td>3D Invariant</td><br />
<!-- WikiPage = --> <td>ThurstonBennequinNumber</td><br />
</tr><br />
</table></div>
ScottSysopRobot
https://katlas.org/index.php?title=Invariant_Definition_Table&diff=48203
Invariant Definition Table
2005-09-06T06:02:58Z
<p>ScottSysopRobot: </p>
<hr />
<div>{{Invariant Definition Table Warning}}<br />
<table width="100%"><br />
<tr><br />
<th>Invariant name</th><br />
<th>KnotTheory</th><br />
<th>LivingstonTag</th><br />
<th>ReadLivingston</th><br />
<th>ReadWiki</th><br />
<th>Type</th><br />
<th>WikiPage</th><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Next Knot</td><br />
<!-- KnotTheory = --> <td>NextKnot</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>Knot</td><br />
<!-- Type = --> <td>Navigation</td><br />
<!-- WikiPage = --> <td>Next_Knot</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Previous Knot</td><br />
<!-- KnotTheory = --> <td>PreviousKnot</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>Knot</td><br />
<!-- Type = --> <td>Navigation</td><br />
<!-- WikiPage = --> <td>Previous_Knot</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Gauss Code</td><br />
<!-- KnotTheory = --> <td>GaussCode</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>GaussCode</td><br />
<!-- Type = --> <td>Link Presentation</td><br />
<!-- WikiPage = --> <td>Gauss_Code</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Planar Diagram</td><br />
<!-- KnotTheory = --> <td>PD</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>PD</td><br />
<!-- Type = --> <td>Link Presentation</td><br />
<!-- WikiPage = --> <td>PD_Presentation</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Dowker-Thistlethwaite Code</td><br />
<!-- KnotTheory = --> <td>DTCode</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>DTCode</td><br />
<!-- Type = --> <td>Knot Presentation</td><br />
<!-- WikiPage = --> <td>DT_Code</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>SymmetryType</td><br />
<!-- KnotTheory = --> <td>SymmetryType</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>SymmetryType</td><br />
<!-- Type = --> <td>3D Invariant</td><br />
<!-- WikiPage = --> <td>Symmetry_Type</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>UnknottingNumber</td><br />
<!-- KnotTheory = --> <td>UnknottingNumber</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>FromWikiString</td><br />
<!-- Type = --> <td>3D Invariant</td><br />
<!-- WikiPage = --> <td>Unknotting_Number</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>ThreeGenus</td><br />
<!-- KnotTheory = --> <td>ThreeGenus</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>FromWikiString</td><br />
<!-- Type = --> <td>3D Invariant</td><br />
<!-- WikiPage = --> <td>3-Genus</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>BridgeIndex</td><br />
<!-- KnotTheory = --> <td>BridgeIndex</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>FromWikiString</td><br />
<!-- Type = --> <td>3D Invariant</td><br />
<!-- WikiPage = --> <td>Bridge_Index</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>SuperBridgeIndex</td><br />
<!-- KnotTheory = --> <td>SuperBridgeIndex</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>FromWikiString</td><br />
<!-- Type = --> <td>3D Invariant</td><br />
<!-- WikiPage = --> <td>Super_Bridge_Index</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>NakanishiIndex</td><br />
<!-- KnotTheory = --> <td>NakanishiIndex</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>FromWikiString</td><br />
<!-- Type = --> <td>3D Invariant</td><br />
<!-- WikiPage = --> <td>Nakanishi_Index</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Jones</td><br />
<!-- KnotTheory = --> <td>Jones[#1][q] & </td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>FromWikiString</td><br />
<!-- Type = --> <td>Polynomial Invariant</td><br />
<!-- WikiPage = --> <td>Jones_Polynomial</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Alexander</td><br />
<!-- KnotTheory = --> <td>Alexander[#1][t] & </td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>FromWikiString</td><br />
<!-- Type = --> <td>Polynomial Invariant</td><br />
<!-- WikiPage = --> <td>Alexander_Polynomial</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Determinant</td><br />
<!-- KnotTheory = --> <td>KnotDet</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>FromWikiString</td><br />
<!-- Type = --> <td>Polynomial Invariant</td><br />
<!-- WikiPage = --> <td>Determinant</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Signature</td><br />
<!-- KnotTheory = --> <td>KnotSignature</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>FromWikiString</td><br />
<!-- Type = --> <td>Polynomial Invariant</td><br />
<!-- WikiPage = --> <td>Signature</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Conway</td><br />
<!-- KnotTheory = --> <td>Conway[#1][z] & </td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>FromWikiString</td><br />
<!-- Type = --> <td>Polynomial Invariant</td><br />
<!-- WikiPage = --> <td>Conway_Polynomial</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>HOMFLYPT</td><br />
<!-- KnotTheory = --> <td>HOMFLYPT[#1][a, z] & </td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>FromWikiString</td><br />
<!-- Type = --> <td>Polynomial Invariant</td><br />
<!-- WikiPage = --> <td>HOMFLYPT_Polynomial</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Kauffman</td><br />
<!-- KnotTheory = --> <td>Kauffman[#1][a, z] & </td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>FromWikiString</td><br />
<!-- Type = --> <td>Polynomial Invariant</td><br />
<!-- WikiPage = --> <td>Kauffman_Polynomial</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Vassiliev2</td><br />
<!-- KnotTheory = --> <td>Vassiliev[2]</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>FromWikiString</td><br />
<!-- Type = --> <td>Vassiliev Invariant</td><br />
<!-- WikiPage = --> <td>V_2</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Vassiliev3</td><br />
<!-- KnotTheory = --> <td>Vassiliev[3]</td><br />
<!-- LivingstonTag = --> <td></td><br />
<!-- ReadLivingston = --> <td></td><br />
<!-- ReadWiki = --> <td>FromWikiString</td><br />
<!-- Type = --> <td>Vassiliev Invariant</td><br />
<!-- WikiPage = --> <td>V_3</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Smooth 4-Genus</td><br />
<!-- KnotTheory = --> <td></td><br />
<!-- LivingstonTag = --> <td>smooth_4_genus</td><br />
<!-- ReadLivingston = --> <td>FromLivingstonString</td><br />
<!-- ReadWiki = --> <td>FromWikiString</td><br />
<!-- Type = --> <td>4D Invariant</td><br />
<!-- WikiPage = --> <td>Smooth4Genus</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Topological 4-Genus</td><br />
<!-- KnotTheory = --> <td></td><br />
<!-- LivingstonTag = --> <td>topological_4_genus</td><br />
<!-- ReadLivingston = --> <td>FromLivingstonString</td><br />
<!-- ReadWiki = --> <td>FromWikiString</td><br />
<!-- Type = --> <td>4D Invariant</td><br />
<!-- WikiPage = --> <td>Topological4Genus</td><br />
</tr><br />
<tr><br />
<!-- Invariant name --> <td>Thurston-Bennequin Number</td><br />
<!-- KnotTheory = --> <td></td><br />
<!-- LivingstonTag = --> <td>thurston_bennequin_number</td><br />
<!-- ReadLivingston = --> <td>(ToExpression/@StringCases[#,"["~~a__~~"]:>a]&)</td><br />
<!-- ReadWiki = --> <td>FromWikiString</td><br />
<!-- Type = --> <td>3D Invariant</td><br />
<!-- WikiPage = --> <td>ThurstonBennequinNumber</td><br />
</tr><br />
</table></div>
ScottSysopRobot
https://katlas.org/index.php?title=Who_Am_I&diff=48211
Who Am I
2005-09-06T05:58:39Z
<p>ScottSysopRobot: </p>
<hr />
<div>--[[User:ScottSysopRobot|ScottSysopRobot]]</div>
ScottSysopRobot
https://katlas.org/index.php?title=Who_Am_I&diff=48134
Who Am I
2005-09-02T04:00:38Z
<p>ScottSysopRobot: </p>
<hr />
<div>--[[User:ScottSysopRobot|ScottSysopRobot]]</div>
ScottSysopRobot
https://katlas.org/index.php?title=Who_Am_I&diff=42149
Who Am I
2005-09-01T03:44:19Z
<p>ScottSysopRobot: </p>
<hr />
<div>--[[User:ScottSysopRobot|ScottSysopRobot]]</div>
ScottSysopRobot
https://katlas.org/index.php?title=Who_Am_I&diff=41751
Who Am I
2005-08-31T16:41:45Z
<p>ScottSysopRobot: </p>
<hr />
<div>--[[User:ScottSysopRobot|ScottSysopRobot]]</div>
ScottSysopRobot