Generalized FAMED semi-geometric triangulation conjecture

Let $K$ be a hyperbolic knot in ${\mathbb S}^3$, and let $l$ and $m$ denote the preferred longitude and meridian, respectively. A semi-geometric triangulation is an ideal triangulation equipped with the semi-geometric structure used in the paper, and it is generalized FAMED with respect to $(l,m)$ when it satisfies the corresponding generalized FAMED conditions. Generalized FAMED semi-geometric triangulation conjecture. Every hyperbolic knot complement in ${\mathbb S}^3$ admits a semi-geometric triangulation that is generalized FAMED with respect to $(l,m)$. This conjecture concerns the existence of triangulations broad enough for the paper's asymptotic theory; no resolution is supplied.