Template:Polynomial Invariants: Difference between revisions
From Knot Atlas
Jump to navigationJump to search
Line 18: | Line 18: | ||
<td>{{Data:{{PAGENAME}}/HOMFLYPT Polynomial}}</td> |
<td>{{Data:{{PAGENAME}}/HOMFLYPT Polynomial}}</td> |
||
</tr><tr valign=top> |
</tr><tr valign=top> |
||
<td>'''[[The Kauffman Polynomial|Kauffman polynomial]]'''</td> |
<td>'''[[The Kauffman Polynomial|Kauffman polynomial]]''' ([[Data:{{PAGENAME}}/Kauffman Polynomial|db]], [[Kauffman polynomial data sources|data sources]])</td> |
||
<td>{{Data:{{PAGENAME}}/Kauffman Polynomial}}</td> |
<td>{{Data:{{PAGENAME}}/Kauffman Polynomial}}</td> |
||
</tr> |
</tr> |
Revision as of 13:09, 5 July 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 |