Final statement of results:
Deg is:   3
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, 1, 1, -1, 1, 1, -1, 1, -1]]
Cubesused is:   [[[[1, 2], [1, 3], [1, 3], [1, 4], [2, 4], [3, 4]], [[1, 2], [1, 3], [1, 4]]], [[[1, 2], [1, 3], [1, 3], [1, 4], [2, 4]
, [3, 4]], [[1, 2], [1, 3], [3, 4]]], [[[1, 2], [1, 3], [1, 3], [1, 4], [2, 4], [3, 4]], [[1, 2], [1, 4], [3, 4]]], [[[1, 2], [1, 3], [
1, 3], [1, 4], [2, 4], [3, 4]], [[1, 3], [1, 4], [2, 4]]], [[[1, 2], [1, 3], [1, 3], [1, 4], [2, 4], [3, 4]], [[1, 3], [2, 4], [3, 4]]]
, [[[1, 2], [1, 3], [1, 3], [1, 4], [2, 4], [3, 4]], [[1, 4], [2, 4], [3, 4]]], [[[1, 3], [1, 3], [1, 4], [1, 4], [2, 3], [2, 4]], [[1,
3], [1, 4], [2, 3]]], [[[1, 3], [1, 3], [1, 4], [1, 4], [2, 3], [2, 4]], [[1, 3], [2, 3], [2, 4]]], [[[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]]]]
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, -1, -1, 1, -1, -1, 1, -1, 1]]
Kerfin is:   [[-1/2, 1/2, -1/2, 1/2, 1/2, -1/2, -1/2, -1/2, 1/2, 3, 3/2, 3/2, -3/2, -3/2, 3/2, 1, 1/2, -1/2, 1/2, -1/2, 1]]
Cubelist is:   [[[[1, 3], [1, 3], [1, 4], [2, 4], [2, 5], [3, 5], [4, 5]], [[1, 3], [1, 4], [2, 4], [2, 5]]], [[[1, 3], [1, 3], [1, 4],
[2, 4], [2, 5], [3, 5], [4, 5]], [[1, 3], [1, 4], [2, 4], [4, 5]]], [[[1, 3], [1, 3], [1, 4], [2, 4], [2, 5], [3, 5], [4, 5]], [[1, 3],
[1, 4], [2, 5], [4, 5]]], [[[1, 3], [1, 3], [1, 4], [2, 4], [2, 5], [3, 5], [4, 5]], [[1, 3], [2, 4], [2, 5], [3, 5]]], [[[1, 3], [1, 3
], [1, 4], [2, 4], [2, 5], [3, 5], [4, 5]], [[1, 3], [2, 4], [3, 5], [4, 5]]], [[[1, 3], [1, 3], [1, 4], [2, 4], [2, 5], [3, 5], [4, 5]
], [[1, 3], [2, 5], [3, 5], [4, 5]]], [[[1, 3], [1, 3], [1, 4], [2, 4], [2, 5], [3, 5], [4, 5]], [[1, 4], [2, 4], [2, 5], [3, 5]]], [[[
1, 3], [1, 3], [1, 4], [2, 4], [2, 5], [3, 5], [4, 5]], [[1, 4], [2, 4], [3, 5], [4, 5]]], [[[1, 3], [1, 3], [1, 4], [2, 4], [2, 5], [3
, 5], [4, 5]], [[1, 4], [2, 5], [3, 5], [4, 5]]], [[[1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [3, 5], [4, 5]], [[1, 3], [1, 4], [1, 5], [
2, 3]]], [[[1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [3, 5], [4, 5]], [[1, 3], [1, 4], [2, 3], [3, 5]]], [[[1, 3], [1, 4], [1, 5], [2, 3]
, [2, 4], [3, 5], [4, 5]], [[1, 3], [1, 4], [2, 3], [4, 5]]], [[[1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [3, 5], [4, 5]], [[1, 3], [1, 5
], [2, 3], [2, 4]]], [[[1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [3, 5], [4, 5]], [[1, 3], [1, 5], [2, 3], [4, 5]]], [[[1, 3], [1, 4], [1
, 5], [2, 3], [2, 4], [3, 5], [4, 5]], [[1, 3], [1, 5], [2, 4], [4, 5]]], [[[1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [3, 5], [4, 5]], [[
1, 3], [2, 3], [2, 4], [3, 5]]], [[[1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [3, 5], [4, 5]], [[1, 3], [2, 3], [2, 4], [4, 5]]], [[[1, 3]
, [1, 4], [1, 5], [2, 3], [2, 4], [3, 5], [4, 5]], [[1, 3], [2, 3], [3, 5], [4, 5]]], [[[1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [3, 5],
[4, 5]], [[1, 3], [2, 4], [3, 5], [4, 5]]], [[[1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [3, 5], [4, 5]], [[1, 5], [2, 3], [2, 4], [3, 5]]
], [[[1, 3], [1, 4], [1, 5], [2, 3], [2, 4], [3, 5], [4, 5]], [[1, 5], [2, 3], [3, 5], [4, 5]]]]