 of AZ class $q$ in $d$ spatial dimensions by $\mathcal{H}_{q,d}^{{\mathbb{R}}}$ for the eight real AZ classes, and by $\mathcal{H}_{q,d}^{{\mathbb{C}}}$ for the two complex AZ classes; see Sec. \[rgtp\].  As a consequence of Eq. (\[