Uniform folded ribbonlength conjecture for (2,q)-torus links

Let $T(2,q)$ denote a $(2,q)$-torus link, let $[T(2,q)]$ denote its link type, and let ${\operatorname{Rib}}([T(2,q)])$ denote its infimal folded ribbonlength. Uniform torus-link conjecture. There is a constant $C>0$ such that

$${\operatorname{Rib}}([T(2,q)])\leq \begin{cases} q+3 & \text{when }q\leq 10,\\ 8\sqrt{3}\leq 13.86 & \text{when }q\geq 11\text{ is odd},\\ C & \text{when }q\geq 12\text{ is even}. \end{cases}$$

The statement combines explicit small-crossing bounds with uniform bounds for the odd and even families; the paper presents it as a conjecture following constructions and previously known uniform estimates.