“…With respect to this correspondence, in the case of a non-degenerate linear monodromy (that is, neither finite, nor dihedral, nor triangular), algebraic solutions were partially classified by K. Diarra [9] for an arbitrary M and by P. Calligaris, M. Mazzocco [4] for M = 2. For a non-abelian triangular linear monodromy, the classification of Schlesinger isomonodromic (2 × 2)families leading to algebraic solutions of Garnier systems, was done by G. Cousin, D. Moussard [7]. For a dihedral linear monodromy, there are families of algebraic solutions obtained by A. Girand [17], for M = 2 and by A. Komyo [28] for an arbitrary even M .…”