Ŝγm . where we recognize that the last line of Eq. A11 is identical to the last line of Eq. A8, which can be expressed as generators in Eq. A9. We do not need to compute the anti-commutator between an asymmetric and a diagonal generator as we already have the result by permutation from Eq. A11 (and Eqs. A10 indicates d αβγ = 0). The remaining d ijk values are obtained through the anti-commutator between two diagonal generators