  We complete the classification of type preserving representations of
Deligne-Mostow lattices with 3-fold symmetry into PGL(3,C) started in
arXiv:2003.06466. In particular, we show local rigidity for all the
representations where the generators we chose are of the same type as the
generators of the Deligne-Mostow lattices. We use formal computations in SAGE
and MAPLE to obtain the results. The code files are available on GitHub.
