  We classify representations of a class of Deligne-Mostow lattices into
PGL(3;C). In particular, we show local rigidity for the representations (of
Deligne-Mostow lattices with 3-fold symmetry and of type one) where the
generators we chose are of the same type as the generators of Deligne-Mostow
lattices. We also show local rigidity without constraints on the type of
generators for six of them and we show the existence of local deformations for
a number of representations in three of them. We use formal computations in
SAGE and Maple to obtain the results. The code files are available on GitHub.
