  Conjugation coactions of the quantum general linear group on the algebra of
quantum matrices have been introduced in an earlier paper and the coinvariants
have been determined. In this paper the notion of orbit is considered via
co-orbit maps for these coactions. The co-orbit maps are calculated explicitly
for 2 by 2 quantum matrices. In the NxN case we consider the case of a generic
diagonal matrix when the deformation parameter is transcendental over the field
generated by the diagonal entries.
