ONCE MORE NICE EQUATIONS FOR NICE GROUPS

In a previous paper, nice quintinomial equations were given for unrami fied coverings of the affine line in nonzero characteristic p with the projective symplectic isometry group PSp(2m, q) and the (vectorial) s ymplectic isometry group Sp(am, q) as Galois groups where m > 2 is any integer and q > 1 is any power of p. Here we deform these equations t o get nice quintinomial equations for unramified coverings of the once punctured affine line in characteristic p with the projective symplec tic similitude group PGSp(2m, q) and the (vectorial) symplectic simili tude group GSp(2m, q) as Galois groups.