Lunar-domain conjecture for zeros of the Alexander polynomials of $K[n]$

Let

$$\alpha=\frac{3-\sqrt{5}}{2}$$

be a real zero of $\Delta_{K[1]}(t)=t^2-3t+1$, and let $C$ be the circle with centre $(\frac{\alpha-1}{2},0)$ and radius $\frac{\alpha+1}{2}$. Lunar-domain conjecture. For every $n\geq1$, all zeros of $\Delta_{K[n]}(t)$ with modulus less than $1$ lie in the narrow lunar domain bounded by the unit circle and $C$. The conjecture describes the location of the non-unit zeros after the source establishes that $\Delta_{K[n]}(t)$ has no unit-complex zeros.