The non-4-divisible Frobenius–Perron dimension solvability conjecture

Let $\mathcal C$ be a modular tensor category, and let $\operatorname{FPdim}(\mathcal C)$ denote its Frobenius–Perron dimension. Solvability conjecture. If $\operatorname{FPdim}(\mathcal C)$ is not divisible by $4$, then $\mathcal C$ is solvable. This is presented as an equivalent formulation of the odd-dimensional modular category solvability conjecture, using the preceding corollary; the supplied text does not establish whether the conjecture is resolved.