In[1]:= |
<< KnotTheory` |
Loading KnotTheory` (version of August 30, 2005, 10:15:35)... |
In[2]:= | Length[Skeleton[L]] |
Out[2]= | 2 |
In[3]:= | Show[DrawMorseLink[Link[7, Alternating, 6]]] |
|  |
Out[3]= | -Graphics- |
In[4]:= | PD[L = Link[7, Alternating, 6]] |
Out[4]= | PD[X[8, 1, 9, 2], X[10, 4, 11, 3], X[14, 10, 7, 9], X[12, 6, 13, 5],
> X[2, 7, 3, 8], X[4, 12, 5, 11], X[6, 14, 1, 13]] |
In[5]:= | GaussCode[L] |
Out[5]= | GaussCode[{1, -5, 2, -6, 4, -7}, {5, -1, 3, -2, 6, -4, 7, -3}] |
In[6]:= | Jones[L][q] |
Out[6]= | 1 3/2 5/2 7/2 9/2 11/2 13/2
-(-------) + Sqrt[q] - 2 q + 2 q - 3 q + 2 q - 2 q + q
Sqrt[q] |
In[7]:= | A2Invariant[L][q] |
Out[7]= | -2 2 4 8 10 12 14 20
1 + q + q + q + 2 q + q + 2 q + q - q |
In[8]:= | HOMFLYPT[Link[7, Alternating, 6]][a, z] |
Out[8]= | 3 3 3 5
1 1 2 z 4 z 3 z z 4 z z z
-(----) + --- + --- - --- + --- + -- - ---- + -- - --
3 a z 5 3 a 5 3 a 3
a z a a a a a |
In[9]:= | Kauffman[Link[7, Alternating, 6]][a, z] |
Out[9]= | 2 2 2 2 3 3
-2 1 1 z z 6 z 4 z z z z z 2 z 3 z
-a + ---- + --- + -- - -- - --- - --- - -- + -- + -- - -- - ---- + ---- +
3 a z 7 5 3 a 8 6 4 2 7 5
a z a a a a a a a a a
3 3 4 4 4 5 5 5 6 6
9 z 4 z 2 z z 3 z 2 z 3 z z z z
> ---- + ---- - ---- + -- + ---- - ---- - ---- - -- - -- - --
3 a 6 4 2 5 3 a 4 2
a a a a a a a a |
In[10]:= | Kh[L][q, t] |
Out[10]= | 2
2 4 1 q 4 6 6 2 8 2 8 3 10 3
2 q + q + ----- + -- + q t + q t + 2 q t + 2 q t + q t + q t +
2 2 t
q t
10 4 12 4 14 5
> q t + q t + q t |