  In a previous paper \cite{Jahn:2018dke} we presented a methodology for
computing the topological susceptibility of QCD at temperatures where it is
small and standard methods fail. Here we improve on this methodology by
removing two barriers to the reweighting method's moving between topological
sectors. We present high-statistics, continuum-extrapolated results for the
susceptibility of pure-glue QCD up to $7 T_c$. We show that the susceptibility
varies with temperature as $T^{-6.7\pm 0.3}$ between $T=2.5 T_c$ and $T=7 T_c$,
in good agreement with expectations based on the dilute instanton gas
approximation.
