HFK^ ranks: 0 0 0 0 0 0 1 0 0 0 0 0 3 0 0 0 0 0 5 0 0 0 0 0 7 0 0 0 0 0 5 0 0 0 0 0 3 0 0 0 0 0 1 0 0 0 0 0 0
[(3, 3, 1), (2, 2, 12), (0, 0, 244), (1, 1, 68)]