\[\zeta\mathrm{H}_{\mbox{\scriptsize III}}(q,p,\zeta)=q^{2}p^{2}-\left(\eta_{%
\infty}q^{2}+\theta_{0}q-\eta_{0}\zeta\right)p+\tfrac{1}{2}\eta_{\infty}(%
\theta_{0}+\theta_{\infty})q,\]