Ben Aribi and Wong have described a combinatorial « FAMED » condition on an ideal triangulation of a knot complement under which Andersen-Kashaev volume conjecture holds.

I wrote a SageMath module « FAMEDexploration », available here, to try and explore how often this condition hold. The answer seems very clear: alwasy for a hyperbolic knot complement!

Beware, there is a subtlety: for each knot complement, with at most 12 crossings or at most 14 crossings and at most 23 tetrahedra, we find a triangulation (often not the on readily given by Snappy) that has the FAMED property.

A regina container containing all those triangulations is available here: .