  In this paper, we propose another characterization of the generalized mirror
transformation on the quantum cohomology rings of general type projective
hypersurfaces. This characterics is useful for explicit determination of the
form of the generalized mirror transformation. As applications, we rederive the
generalized mirror transformation up to $d=3$ rational Gromov-Witten invariants
obtained in our previous article, and determine explicitly the the generalized
mirror transformation for the $d=4, 5$ rational Gromov-Witten invariants in the
case when the first Chern class of the hypersurface equals $-H$ (i.e.,
$k-N=1$).
