Notes for AKT-090917-2/0:27:14

Rearranging the skein relation, we see that:

Failed to parse (unknown function "\doublepoint"): {\displaystyle J(\doublepoint)=x(...)}

Analogously,

Failed to parse (unknown function "\doublepoint"): {\displaystyle J(\doublepoint ... \doublepoint)=x^{n+1}(...)}

for n+1 double points. In particular, the coefficient of $x^{n}$, $J_{n}$, will be zero when evaluated on a knot with $k+1$ double points.