  We identify the leading order term of the asymptotic expansion of the
Witten-Reshetikhin-Turaev invariants for finite order mapping tori with
classical invariants for all simple and simply-connected compact Lie groups.
The square root of the Reidemeister torsion is used as a density on the moduli
space of flat connections and the leading order term is identified with the
integral over this moduli space of this density weighted by a certain phase for
each component of the moduli space. We also identify this phase in terms of
classical invariants such as Chern-Simons invariants, eta invariants, spectral
flow and the rho invariant. As a result, we show agreement with the
semiclassical approximation as predicted by the method of stationary phase.
