[Hendrikto]

> There is a 1-1 mapping

It is strong, but not 1 to 1:

> Tubbenhauer computed, for instance, that the invariant uniquely identifies more than 97% of the knots with 18 crossings.

[tromp]

Since they said "the corresponding polynomial", they must mean the mapping between the colored hexagons and the knot polynomials.