Kinoshita–Terasaka knot

In knot theory, the Kinoshita–Terasaka knot is a particular prime knot.

It has 11 crossings.

[1] The Kinoshita–Terasaka knot has a variety of interesting mathematical properties.

[2] It is related by mutation to the Conway knot,[3] with which it shares a Jones polynomial.

It has the same Alexander polynomial as the unknot.

The prime Kinoshita–Terasaka knot (11n42) (left) and the prime Conway knot (11n34) (right) showing how they are related by mutation