Stoimenow's square leading-coefficient conjecture for amphicheiral knots

Let $K$ be an amphicheiral knot, and let $\Delta_K$ denote its Alexander polynomial; equivalently, consider the leading coefficient of its Conway polynomial. Stoimenow's square leading-coefficient conjecture. The leading coefficient of the Alexander (or Conway) polynomial of $K$ is a square. The claim is motivated by results covering alternating, strongly amphicheiral, negative amphicheiral, low-crossing, and fibered homogeneous knots, but the paper constructs counterexamples among nonstrong positive amphicheiral knots.