“…(1) and diagonalize within the manifold of all the 8-spin configurations yielding states with S z ¼ 0; there are 1286 energy eigenvalues corresponding to eigenvectors with S ranging from 0 to 10. The distribution of states is: (10,1), (9,7), (8,24), (7,56), (6,104), (5,164), (4,220), (3,248), (2,232), (1,168), (0,62), where the first number in parenthesis is the value of S and the second is the number of levels with this value of S: With the 2S þ 1 degeneracies included, there are exactly 10 000 states. These are the basis states which are then used to diagonalize the full Hamiltonian, including anisotropy and DM terms.…”