Minimal Schwarz maps of 3F2 with finite irreducible monodromy groups

The generalized hypergeometric function F-3(2)(a(0), a(1), a(2); b(1), b(2); z) satisfies the Fuchsian differential equation E-3(2) of rank three. Beukers and Heckman classified all of the possible parameter sets Of E-3(2) with finite irreducible primitive monodromy groups into I I classes. In each of these classes, we determine the parameter set of E-3(2) such that the image curve (in the projective plane) of the Schwarz map defined by the ratio of its three independent solutions attains the minimal degree.