Template:Polynomial Invariants: Difference between revisions
From Knot Atlas
Jump to navigationJump to search
| Line 5: | Line 5: | ||
<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> |
||
</tr |
</tr> |
||
<tr valign=top> |
|||
<td>'''[[The Alexander-Conway Polynomial|Conway polynomial]]'''</td> |
<td>'''[[The Alexander-Conway Polynomial|Conway polynomial]]'''</td> |
||
<td>{{Data:{{PAGENAME}}/Conway Polynomial}}</td> |
<td>{{Data:{{PAGENAME}}/Conway Polynomial}}</td> |
||
</tr |
</tr> |
||
<tr valign=top> |
|||
<td>'''[[The Alexander-Conway Polynomial|2nd Alexander ideal]] ([[Data:{{PAGENAME}}/2nd AlexanderIdeal|db]], [[Alexander ideals data sources|data sources]])'''</td> |
|||
<td>{{Data:{{PAGENAME}}/2nd AlexanderIdeal}}</td> |
|||
</tr> |
|||
<tr valign=top> |
|||
<td>'''[[The Determinant and the Signature|Determinant and Signature]]'''</td> |
<td>'''[[The Determinant and the Signature|Determinant and Signature]]'''</td> |
||
<td>{ {{Data:{{PAGENAME}}/Determinant}}, {{Data:{{PAGENAME}}/Signature}} }</td> |
<td>{ {{Data:{{PAGENAME}}/Determinant}}, {{Data:{{PAGENAME}}/Signature}} }</td> |
||
Revision as of 12:06, 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]:=
|
AppendTo[$Path, "C:/drorbn/projects/KAtlas/"];
<< KnotTheory`
|
Loading KnotTheory` version of May 31, 2006, 14:15:20.091.
|
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 |
In[5]:=
|
Conway[K][z]
|
Out[5]=
|
Data:Polynomial Invariants/Conway Polynomial |
In[6]:=
|
{KnotDet[K], KnotSignature[K]}
|
Out[6]=
|
{ Data:Polynomial Invariants/Determinant, Data:Polynomial Invariants/Signature } |
In[7]:=
|
Jones[K][q]
|
KnotTheory::loading: Loading precomputed data in Jones4Knots`.
|
Out[7]=
|
Data:Polynomial Invariants/Jones Polynomial |
In[8]:=
|
HOMFLYPT[K][a, z]
|
KnotTheory::credits: The HOMFLYPT program was written by Scott Morrison.
|
Out[8]=
|
Data:Polynomial Invariants/HOMFLYPT Polynomial |
In[9]:=
|
Kauffman[K][a, z]
|
KnotTheory::loading: Loading precomputed data in Kauffman4Knots`.
|
Out[9]=
|
Data:Polynomial Invariants/Kauffman Polynomial |
