Graphs attached to certain complex hyperbolic discrete reflection groups (Q1084671)

\textit{T. Terada} [J. Math. Soc. Japan 35, 451-475 (1983; Zbl 0518.33001)] gave explicit values for those 27 parameter tests in Appell's hypergeometric differential equations for which the projective monodromy group is a reflection group in complex hyperbolic space. In this paper, these reflection groups are described in terms of Coxeter graphs, which term out to be pentagonshaped. Incomplete results are also given for certain reflection groups related to universal coverings of certain manifolds attached to the Hession configuration of 12 lines in the complex projective plane, studied by F. Hirzebruch and T. Höfer.