QUANDLES AT FINITE TEMPERATURES II

Abstract

The number of colorings of a knot diagram by a given quandle is a knot invariant. This follows naturally from the fact that the knot quandle is a knot invariant, and is observed again in the context of the CJKLS invariant and also in the context of the equivalence relation on colored diagrams introduced by the second author. Here we investigate the effectiveness of this invariant on prime knots of up to and including ten crossings, by computing the number of colorings using a list of ten quandles. This distinguishes these knots in all but less than 3% of the cases.