  This article pursues the study of the knot state asymptotics in the large
level limit initiated in "Knot sate Asymptotics I". As a main result, we prove
the Witten asymptotic expansion conjecture for the Dehn fillings of the figure
eight knot. The state of a knot is defined in the realm of Chern-Simons
topological quantum field theory as a holomorphic section on the
SU(2)-character manifold of the peripheral torus. In the previous paper, we
conjectured that the knot state concentrates on the character variety of the
knot with a given asymptotic behavior on the neighborhood of the abelian
representations. In the present paper we study the neighborhood of irreducible
representations. We conjecture that the knot state is Lagrangian with a phase
and a symbol given respectively by the Chern-Simons and Reidemeister torsion
invariants. We show that under some mild assumptions, these conjectures imply
the Witten conjecture on the asymptotic expansion of WRT invariants of the Dehn
fillings of the knot. Using microlocal techniques, we show that the figure
eight knot state satisfies our conjecture starting from q-differential
relations verified by the colored Jones polynomials. The proof relies on a
differential equation satisfied by the Reidemeister torsion along the branches
of the character variety, a phenomenon which has not been observed previously
as far as we know.
