Remarks on the $\mathbb{Z}\mathrm{/}p$ Dijkgraaf-Witten invariants of 3D mapping tori

We make some remarks on the $\mathbb{Z}\mathrm{/}p$ Dijkgraaf-Witten invariants of 3D mapping tori and determine the asymptotic behavior of their sum over all diffeomorphism classes of genus one mapping tori.