Final statement of results: Deg is: 2 Elements of kern listed below span the top dimensional homology group of the quotient complex Q_n,deg for n large. Elements of kern are indexed by cubesused. Kern is: [[1, -1, 1]] Cubesused is: [[[[1, 2], [1, 3], [1, 3], [2, 3]], [[1, 2], [1, 3]]], [[[1, 2], [1, 3], [1, 3], [2, 3]], [[1, 2], [2, 3]]], [[[1, 2], [1, 3], [1, 3], [2, 3]], [[1, 3], [2, 3]]]] We now calculate the image imfin of deg+1 chains in Q_n,deg+1 that map to kern. Elements of imfin are also indexed by cubesused. For each element of imfin, we give a corresponding deg+1 chain that maps onto it. The deg+1 chains are listed in kerfin. Elements of kerfin are indexed by "cubelist". Imfin is: [[1, -1, 1]] Kerfin is: [[1, -1, 1]] Cubelist is: [[[[1, 3], [1, 4], [2, 3], [2, 4], [3, 4]], [[1, 3], [2, 3], [2, 4]]], [[[1, 3], [1, 4], [2, 3], [2, 4], [3, 4]], [[1, 3 ], [2, 3], [3, 4]]], [[[1, 3], [1, 4], [2, 3], [2, 4], [3, 4]], [[1, 3], [2, 4], [3, 4]]]]