Some solutions for n=3:
-3 -2 -3 -3 -1 -2 -3 -2 -2 -3 -3 -3 -2 -2 -3 0
-3 -1 -2 -1 -1 -1 -3 -2 -2 -2 -3 2 -1 -1 -3 0
1 -1 1 0 -1 -1 -3 -2 -2 -1 -3 2 -1 -1 -3 1
1 -1 1 0 -1 2 -3 0 -2 -1 -1 2 -1 2 -2 1
2 -1 2 1 2 2 -1 0 -1 0 0 3 0 2 -1 1
3 3 3 1 3 2 1 3 2 2 3 3 1 3 2 3
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