  The families of simplest cubic, simplest quartic and simplest sextic fields
and the related Thue equations are well known. The family of simplest cubic
Thue equations was already studied in the relative case, over imaginary
quadratic fields. In the present paper we give a similar extension of simplest
quartic and simplest sextic Thue equations over imaginary quadratic fields. We
explicitly give the solutions of these infinite parametric families of Thue
equations over arbitrary imaginary quadratic fields.
