Title: A rank 18 Waring decomposition of $sM_{\langle 3\rangle}$ with 432 symmetries,
Abstract: The recent discovery that the exponent of matrix multiplication is determined
by the rank of the symmetrized matrix multiplication tensor has invigorated
interest in better understanding symmetrized matrix multiplication. I present
an explicit rank 18 Waring decomposition of $sM_{\langle 3\rangle}$ and
describe its symmetry group.