Extensions of pseudogeometric graphs for pGs-5 (s, t)

J. Koolen posed the problem of studying distance-regular graphs in which neighborhoods of vertices are strongly regular graphs with the second eigenvalue ≤t for a given positive integer t. This problem is reduced to the description of distance-regular graphs in which neighborhoods of vertices are strongly regular graphs with non-principal eigenvalue t for t=1,2,… In the article by A. K. Gutnova and A. A. Makhnev "Extensions of pseudogeometrical graphs for pGs-4(s,t)" the Koolen problem was solved for t=4 and for pseudogeometrical neighborhoods of vertices. In the article of A. A. Makhnev "Strongly regular graphs with nonprincipal eigenvalue 5 and its extensions" the Koolen problem for t=5 was reduced to the case where the neighborhoods of vertices are exceptional graphs. In this paper intersection arrays for distance-regular graphs whose local subgraphs are exceptional pseudogeometric graphs for pGs-5(s,t).