We will show that if $K$ is a knot of prime period $p>2$ and whose Alexander polynomial $\Delta_K(t)$ is monic and of degree $p-1$, then $\Delta_K(t)$ is uniquely determined only by $p$.
Various stabilities of the Alexander polynomials of knots and links
On zeros of the Alexander polynomial of an alternating knot
Alexander polynomials and hyperbolic volume of arborescent links
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