  We consider T(x), a tensor of arbitrary rank that is symmetric in all of its
indices and conserved in the sense that the divergence on any one index
vanishes. Our conjecture is that all integral moments of this tensor will
vanish if the number of coordinates in that integral moment is less than the
rank of the tensor. This result is proved explicitly for a number of particular
cases, assuming adequate dimensionality of the Euclidean space of coordinates
(x); but a general proof is lacking. Along the way, we find some neat results
for certain large matrices generated by permutations.
