Fox Trapezoidal Conjecture for alternating knots

Let $K$ be an alternating knot with normalized Alexander polynomial

$$\Delta_K(T)=\sum_{i=-g}^g a_iT^i,$$

where $g$ is the genus of $K$. Fox Trapezoidal Conjecture. The coefficients satisfy

$$|a_i|\le |a_{i-1}| \quad\text{when }0<i\le g.$$

Moreover, if $|a_i|=|a_{i-1}|$ for some $i$, then $|a_j|=|a_i|$ whenever $0\le j\le i$. This conjecture predicts a trapezoidal pattern for the absolute values of the Alexander polynomial coefficients of alternating knots; the paper proves a special case in which $|a_g|=|a_{g-1}|$, but the full statement remains open in the supplied source.