The Jones Polynomial
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The knots 6_1 and 9_46 have the same Alexander polynomial. Their Jones polynomials are different, though:
| In[2]:= |
Jones[Knot[6, 3]][q] |
| Out[2]= | -3 2 2 2 3
3 - q + -- - - - 2 q + 2 q - q
2 q
q
|
| In[3]:= |
Jones[Knot[9, 48]][q] |
| Out[3]= | 1 2 3 4 5 6
-3 + - + 4 q - 4 q + 6 q - 4 q + 3 q - 2 q
q
|
| In[4]:= |
Jones[Knot[10, 112]][q] |
| Out[4]= | -7 4 7 11 14 14 14 2 3
-10 + q - -- + -- - -- + -- - -- + -- + 7 q - 4 q + q
6 5 4 3 2 q
q q q q q
|
