Goda--Teragaito's order bound conjecture for hyperbolic knots with lens space surgeries

Let $K\subset S^3$ be a hyperbolic knot of genus $g$, and suppose that a surgery on $K$ yields a lens space of order $r$. Goda--Teragaito's conjecture. The order satisfies

$$2g+8\leq r\leq 4g-1.$$

The conjecture is based on calculations from Berge's conjecturally complete list of double-primitive knots. Its upper bound is consistent with the small-genus result proved in the paper, while the full two-sided bound remains open in the source.