The minimal-volume conjecture for orientable hyperbolic 3-manifolds with 3 cusps

Let $M$ be an orientable hyperbolic 3-manifold with three cusps, and let $C_3$ denote the 3-chain link complement. Minimal-volume conjecture. The minimal volume of a 3-cusped orientable hyperbolic manifold is the volume of $C_3$, which is $5.33\ldots$. The minimal volume for three cusps is one of the remaining unknown cases in the classification of minimal-volume orientable finite-volume hyperbolic 3-manifolds.