  Here we continue to list the differential operators invariant with respect to
the 15 exceptional simple Lie superalgebras of polynomial vector fields. A part
of the list (for operators acting on tensors with finite dimensional fibers)
was earlier obtained in 2 of the 15 cases by Kochetkov and in one more instance
by Kac and Rudakov. Broadhurst and Kac conjectured that some of these
structures pertain to the Standard Models of elementary particles and the Grand
Unified Theories. So, GUT, if any exists, will be formulated in terms of
operators we found, or their r-nary analogs to be found. Calculations are
performed with the aid of Grozman's Mathematica-based SuperLie package. When
degeneracy conditions are violated (absence of singular vectors) the
corresponding module of tensor fields is irreducible. We consider generalized
tensors corresponding to fibers of countable infinite dimension, not only
finite dimensional ones. We also verified some of the earlier findings.
