The pictures show slices of the SL(3,C) character variety of the free product Z/3Z*Z/3Z. The set of points fixed by the involution Phi_2 is parametrized by two complex numbers. The slices pictured below are drawn by fixing one of the complex numbers. These slices are also slices of the SU(3) and SU(2,1) character varieties of Z/3Z*Z/3Z. You can see my PhD thesis (end of Chapter 2) for all the information about the picture.
These pictures were made with SAGE