Map-counting conjecture with diagonal or degenerate intermediate fields

Let an $n$-point function of diagonal and non-diagonal fields lie on a Riemann surface of genus $g$. In each channel, consider conformal-bootstrap spectra containing all allowed non-diagonal fields and, whenever permitted by the fusion rules, one diagonal or degenerate field. Let $\mathcal{M}_{g,n}(r_i)$ denote the corresponding set of combinatorial maps, and let $d_{0,4}(\delta_i)$ be the dimension of the four-point crossing-symmetry solution space. Map-counting conjecture with diagonal or degenerate fields. The dimension of the solution space equals $|\mathcal{M}_{g,n}(r_i)|$; in particular,

$$d_{0,4}(\delta_i)=\left|\mathcal{M}_{0,4}(r_i)\right|.$$

The text says that the conjecture is intended without non-trivial map symmetries, with stated qualifications when such symmetries occur; the supplied text does not resolve the conjecture.