  In this paper we are interested in computing representations of the
fundamental group of a 3-manifold into PSL(3;C) (in particular in PSL(2;C);
PSL(3;R) and PU(2; 1)). The representations are obtained by gluing decorated
tetrahedra of flags. We list complete computations (giving 0-dimensional or
1-dimensional solution sets) for the first complete hyperbolic non-compact
manifolds with finite volume which are obtained gluing less than three
tetrahedra with a description of the computer methods used to find them.
