The convex-hull conjecture for Thurston unit balls of chained-link complements

Let $C(n,p)$ be the $n$-chained link with $p$ half-twists on its first component, and let $M(n,p)$ be its complement. For $p<0$, let $V(n,p)$ be a set of points in the Thurston unit ball, and let $B(n,p)$ denote their convex hull. Convex-hull conjecture. The polytope $B(n,p)$ is equal to the Thurston unit norm ball of $C(n,p)$ when $p<0$. The conjecture concerns the unresolved negative-twist cases, extending the paper’s determination of the Thurston unit ball for $p\geq 0$. It is partially supported by computational data obtained with the program Tnorm.