The Third Term In Lens Surgery Polynomials

It is well-known that the second highest coefficient of the Alexander polynomial of any lens space knot in S-3 is -1. We show that if the third highest coefficient of the Alexander polynomial Delta(K)(t) of a lens space knot K in S3 is non-zero, then Delta(K)(t) coincides with the Alexander polynomial of the (2, 2g +)-torus knot, where g is the Seifert genus of K.