Enumeration of intersection arrays of $AT4$-graphs with $q\le 4$

Let $\mathcal M$ be a class of strongly regular graphs for which $\mu$ is a nonprincipal eigenvalue. Note that the neighborhood of any vertex of an $AT4$-graph lies in $\mathcal M$. Previously, the parameters of graphs from $\mathcal M$ were described. In this paper, intersection arrays of $AT4$-graphs with $q\le 4$ and the parameters of the corresponding strongly regular graphs are found.