The torus-knot extension conjecture for Proposition 5.2

A torus knot is a knot $T(s,t)\subseteq S^3$ with $\gcd(s,t)=1$. Let Proposition 5.2 denote the proposition preceding this claim, concerning the chamber parameters and associated computation for torus knots. Torus-knot extension conjecture. Proposition 5.2 holds for all torus knots $T(s,t)\subseteq S^3$ with $\gcd(s,t)=1$. The claim extends Proposition 5.2 beyond the torus-knot cases checked in the surrounding calculations; the source provides no resolution evidence.