Template:Polynomial Invariants: Difference between revisions

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<table width=98%>
<table width=98%>
<tr valign=top>
<tr valign=top>
<td>'''[[The Jones Polynomial|Jones polynomial]]'''</td>
⚫
<td>{{Data:{{PAGENAME}}/Jones Polynomial}}</td>
</tr><tr valign=top>
<td>'''[[The Alexander-Conway Polynomial|Alexander polynomial]]'''</td>
<td>'''[[The Alexander-Conway Polynomial|Alexander polynomial]]'''</td>
<td>{{Data:{{PAGENAME}}/Alexander Polynomial}}</td>
<td>{{Data:{{PAGENAME}}/Alexander Polynomial}}</td>
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<td>{{Data:{{PAGENAME}}/Conway Polynomial}}</td>
<td>{{Data:{{PAGENAME}}/Conway Polynomial}}</td>
</tr><tr valign=top>
</tr><tr valign=top>
<td>'''[[The Determinant and the Signature|Determinant]]'''</td>
<td>'''[[The Determinant and the Signature|Determinant and Signature]]'''</td>
<td>{{Data:{{PAGENAME}}/Determinant}}</td>
<td>{ {{Data:{{PAGENAME}}/Determinant}}, {{Data:{{PAGENAME}}/Signature}} }</td>
</tr><tr valign=top>
</tr><tr valign=top>
<td>'''[[The Determinant and the Signature|Signature]]'''</td>
<td>'''[[The Jones Polynomial|Jones polynomial]]'''</td>
<td>{{Data:{{PAGENAME}}/Signature}}</td>
<td>{{Data:{{PAGENAME}}/Jones Polynomial}}</td>
</tr><tr valign=top>
</tr><tr valign=top>
<td>'''[[The HOMFLY-PT Polynomial|HOMFLY-PT polynomial]]'''</td>
<td>'''[[The HOMFLY-PT Polynomial|HOMFLY-PT polynomial]]'''</td>
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|<code style="white-space: pre; color: red; border: 0px; padding: 0em; background-color: rgb(255,255,255);">K = Knot["{{PAGENAME}}"];</code>
|<code style="white-space: pre; color: red; border: 0px; padding: 0em; background-color: rgb(255,255,255);">K = Knot["{{PAGENAME}}"];</code>
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{{In|n=4|in=<nowiki>Alexander[K][t]</nowiki>}}

{{Message|KnotTheory::loading: Loading precomputed data in PD4Knots`.}}

{{FreeStyleOut|4}}
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| {{Data:{{PAGENAME}}/Alexander Polynomial}}
|}
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Revision as of 17:09, 24 June 2006

Polynomial invariants

Alexander polynomial Data:Polynomial Invariants/Alexander Polynomial
Conway polynomial Data:Polynomial Invariants/Conway Polynomial
Determinant and Signature { Data:Polynomial Invariants/Determinant, Data:Polynomial Invariants/Signature }
Jones polynomial Data:Polynomial Invariants/Jones Polynomial
HOMFLY-PT polynomial Data:Polynomial Invariants/HOMFLYPT Polynomial
Kauffman polynomial Data:Polynomial Invariants/Kauffman Polynomial
Khovanov-Rozansky polynomial Data:Polynomial Invariants/Khovanov Rozansky Polynomial
The A2 invariant Data:Polynomial Invariants/QuantumInvariant/A2/1,0
The G2 invariant Data:Polynomial Invariants/QuantumInvariant/G2/1,0
Further Quantum Invariants.   
Polynomial Invariants Quantum Invariants.
Computer Talk.   
The above data is available with the Mathematica package KnotTheory`. Your input (in red) is realistic; all else should have the same content as in a real mathematica session, but with different formatting.

(The path below may be different on your system, and possibly also the KnotTheory` date)

In[1]:= AppendTo[$Path, "C:/drorbn/projects/KAtlas/"]; << KnotTheory`
Loading KnotTheory` version of May 31, 2006, 14:15:20.091.

Read more at http://katlas.math.toronto.edu/wiki/KnotTheory.

In[3]:= K = Knot["Polynomial Invariants"];
In[4]:= Alexander[K][t]
KnotTheory::loading: Loading precomputed data in PD4Knots`.
Out[4]= Data:Polynomial Invariants/Alexander Polynomial
Retrieved from "https://katlas.org/index.php?title=Template:Polynomial_Invariants&oldid=50449"