Template:Polynomial Invariants: Difference between revisions
From Knot Atlas
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<td>'''[[The Alexander-Conway Polynomial|Alexander polynomial]]'''</td> |
<td>'''[[The Alexander-Conway Polynomial|Alexander polynomial]]'''</td> |
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<td>{{Data:{{PAGENAME}}/Alexander Polynomial}}</td> |
<td>{{Data:{{PAGENAME}}/Alexander Polynomial}}</td> |
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</tr |
</tr> |
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<tr valign=top> |
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<td>'''[[The Alexander-Conway Polynomial|Conway polynomial]]'''</td> |
<td>'''[[The Alexander-Conway Polynomial|Conway polynomial]]'''</td> |
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<td>{{Data:{{PAGENAME}}/Conway Polynomial}}</td> |
<td>{{Data:{{PAGENAME}}/Conway Polynomial}}</td> |
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</tr |
</tr> |
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<tr valign=top> |
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<td>'''[[The Alexander-Conway Polynomial|2nd Alexander ideal]] ([[Data:{{PAGENAME}}/2nd AlexanderIdeal|db]], [[Alexander ideals data sources|data sources]])'''</td> |
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<td>{{Data:{{PAGENAME}}/2nd AlexanderIdeal}}</td> |
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</tr> |
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<td>'''[[The Determinant and the Signature|Determinant and Signature]]'''</td> |
<td>'''[[The Determinant and the Signature|Determinant and Signature]]'''</td> |
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<td>{ {{Data:{{PAGENAME}}/Determinant}}, {{Data:{{PAGENAME}}/Signature}} }</td> |
<td>{ {{Data:{{PAGENAME}}/Determinant}}, {{Data:{{PAGENAME}}/Signature}} }</td> |
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Revision as of 11:06, 31 August 2006
Polynomial 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]:=
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AppendTo[$Path, "C:/drorbn/projects/KAtlas/"];
<< KnotTheory`
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Loading KnotTheory` version of May 31, 2006, 14:15:20.091.
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In[3]:=
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K = Knot["Polynomial Invariants"];
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In[4]:=
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Alexander[K][t]
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KnotTheory::loading: Loading precomputed data in PD4Knots`.
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Out[4]=
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Data:Polynomial Invariants/Alexander Polynomial |
In[5]:=
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Conway[K][z]
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Out[5]=
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Data:Polynomial Invariants/Conway Polynomial |
In[6]:=
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{KnotDet[K], KnotSignature[K]}
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Out[6]=
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{ Data:Polynomial Invariants/Determinant, Data:Polynomial Invariants/Signature } |
In[7]:=
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Jones[K][q]
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KnotTheory::loading: Loading precomputed data in Jones4Knots`.
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Out[7]=
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Data:Polynomial Invariants/Jones Polynomial |
In[8]:=
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HOMFLYPT[K][a, z]
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KnotTheory::credits: The HOMFLYPT program was written by Scott Morrison.
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Out[8]=
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Data:Polynomial Invariants/HOMFLYPT Polynomial |
In[9]:=
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Kauffman[K][a, z]
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KnotTheory::loading: Loading precomputed data in Kauffman4Knots`.
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Out[9]=
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Data:Polynomial Invariants/Kauffman Polynomial |
