Differences of Alexander polynomials for knots caused by a single crossing change, II

Abstract

In the previous note, Okada and the author gave an approach to give a characterization of Alexander polynomials for knots which are transformed by a single crossing change into a given knot whose Alexander polynomial is monic. In this note, we give a characterization in the case of [Formula: see text], and show that the Gordian distance of [Formula: see text] and [Formula: see text] is two. We also give a characterization in the cases of more three knots.