  We further develop the description of three-dimensional quantum gravity with
negative cosmological constant in terms of Virasoro TQFT formulated in our
previous paper arXiv:2304.13650. We compare the partition functions computed in
the Virasoro TQFT formalism to the semiclassical evaluation of Euclidean
gravity partition functions. This matching is highly non-trivial, but can be
checked directly in some examples. We then showcase the formalism in action, by
computing the gravity partition functions of many relevant topologies. For
holographic applications, we focus on the partition functions of Euclidean
multi-boundary wormholes with three-punctured spheres as boundaries. This
precisely quantifies the higher moments of the structure constants in the
proposed ensemble boundary dual and subjects the proposal to thorough checks.
Finally, we investigate in detail the example of the figure eight knot
complement as a hyperbolic 3-manifold. We show that the Virasoro TQFT partition
function is identical to the partition function computed in Teichm\"uller
theory, thus giving strong evidence for the equivalence of these TQFTs. We also
show how to produce a large class of manifolds via Dehn surgery on the figure
eight knot.
