weight 1: total homology {}
weight 2: total homology {}
weight 3 md (1, 0, 0, 2): chain dims {0: 0, 1: 3, 2: 6, 3: 2}  nonzero homology {2: 1}
weight 3 md (1, 2, 0, 0): chain dims {0: 0, 1: 3, 2: 6, 3: 2}  nonzero homology {2: 1}
weight 3: total homology {2: 2}
weight 4 md (0, 0, 0, 4): chain dims {0: 0, 1: 0, 2: 1, 3: 2, 4: 0}  nonzero homology {3: 1}
weight 4 md (0, 4, 0, 0): chain dims {0: 0, 1: 0, 2: 1, 3: 2, 4: 0}  nonzero homology {3: 1}
weight 4 md (2, 1, 0, 1): chain dims {0: 2, 1: 6, 2: 11, 3: 12, 4: 4}  nonzero homology {3: 1}
weight 4: total homology {3: 3}
