  We consider the Witten-Reshetikhin-Turaev invariants or Chern-Simons
partition function at or around roots of unity $q=e^{2\pi i \frac{1}{K}}$ with
rational level $K=\frac{r}{s}$ where $r$ and $s$ are coprime integers. From the
exact expression for the $G=SU(2)$ Witten-Reshetikhin-Turaev invariants of
Seifert manifolds at other roots of unity obtained by Lawrence and Rozansky, we
provide an expected form of the structure of the Witten-Reshetikhin-Turaev
invariants in terms of the homological blocks at other roots of unity. Also, we
discuss the asymptotic expansion of knot invariants around roots of unity where
we take a limit different from the standard limit in the volume conjecture.
