  Continuing the work arXiv:1504.05991, we discuss various aspects of three
dimensional quantum gravity partition function in AdS in the semi-classical
limit. The partition function is holomorphic and is the one which we obtained
by using the localization technique of Chern-Simons theory in arXiv:1504.05991.
We obtain a good expression for it in the summation form over Virasoro
characters for the vacuum and primaries. A key ingredient for that is an
interpretation of boundary localized fermion. We also check that the
coefficients in the summation form over Virasoro characters of the partition
function are positive integers and satisfy the Cardy formula. These give
physical interpretation that these coefficients represent the number of primary
fields in the dual CFT in the large k limit.
