Generalized FAMED conjecture for ideal triangulations

Let $K$ be a hyperbolic knot in ${\mathbb S}^3$, let $X$ be an ordered ideal triangulation of ${\mathbb S}^3{\smallsetminus} K$, and suppose that $X$ admits an angle structure. Let $l$ be the preferred longitude of $K$. The triangulation $X$ is generalized FAMED with respect to $l$ when it satisfies the four matrix and angle-structure conditions in the paper's definition. Generalized FAMED conjecture. Every ordered ideal triangulation of a hyperbolic knot complement in ${\mathbb S}^3$ that admits angle structures is generalized FAMED with respect to $l$. The statement is presented as a conjecture extending the combinatorial conditions used to obtain the asymptotic results, and its resolution is not given in the paper.