Silver–Williams representation-shift characterization of fibered knots

Let $k$ be a knot, let $cpi$ be its knot group, and for each finite group ${\Sigma}$ let $h_{\Sigma}$ denote the topological entropy of the representation shift associated with ${\Sigma}$. Silver–Williams' representation-shift conjecture. The knot $k$ is fibered if and only if

$$h_{\Sigma}=0$$

for every finite group ${\Sigma}$. This proposes a characterization of fibered knots through the entropy of representation shifts; the surrounding proposition relates positive entropy to uncountably many finite covers of the infinite cyclic cover, and the conjecture was previously proposed for all nonfibered knots after being proved in genus one.