  Let $\gamma$ be a non-degenerate Ustilovsky geodesic in $Ham (M, \omega)$
generated by $H$. We give a simple proof of a generalization of the conjecture
stated in \cite{virtmorse}, relating the Morse index of $ \gamma$, as a
critical point of the Hofer length functional, with the Conley Zehnder index of
the extremizers of $H$, considered as periodic orbits.
