  In the generalized topological quantum field theory constructed by Andersen
and Kashaev, invariants of 3-manifolds are defined given the combinatorial
structure of a tetrahedral decomposition. Furthermore, a variant of the volume
conjecture has been proposed in which the hyperbolic volume can be extracted
from this invariant of the complementary space of the hyperbolic knot in an
oriented $3$-dimensional closed manifold. We prove that the reformulated volume
conjecture holds for the complementary space of the hyperbolic knot $7_3$ in
$S^3$, given a specific tetrahedral decomposition.
