Conway's Knot

The Knot with Braid Word

$${\sigma_2}^3\sigma_1{\sigma_3}^{-1}{\sigma_2}^{-2}\sigma_1{\sigma_2}^{-1}\sigma_1{\sigma_3}^{-1}.$$

The Jones Polynomial of Conway's knot is

$$t^{-4}(-1+2t-2t^2+2t^3+t^6-2t^7+2t^8-2t^9+t^{10}),$$

the same as for the Kinoshita-Terasaka Knot.