Identifier
Values
[[1]] => [1,0] => [2,1] => 1
[[1,0],[0,1]] => [1,0,1,0] => [3,1,2] => 2
[[0,1],[1,0]] => [1,1,0,0] => [2,3,1] => 2
[[1,0,0],[0,1,0],[0,0,1]] => [1,0,1,0,1,0] => [4,1,2,3] => 3
[[0,1,0],[1,0,0],[0,0,1]] => [1,1,0,0,1,0] => [2,4,1,3] => 3
[[1,0,0],[0,0,1],[0,1,0]] => [1,0,1,1,0,0] => [3,1,4,2] => 4
[[0,1,0],[1,-1,1],[0,1,0]] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[0,0,1],[1,0,0],[0,1,0]] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[0,1,0],[0,0,1],[1,0,0]] => [1,1,0,1,0,0] => [4,3,1,2] => 3
[[0,0,1],[0,1,0],[1,0,0]] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 4
[[0,1,0,0],[1,0,0,0],[0,0,1,0],[0,0,0,1]] => [1,1,0,0,1,0,1,0] => [2,5,1,3,4] => 4
[[1,0,0,0],[0,0,1,0],[0,1,0,0],[0,0,0,1]] => [1,0,1,1,0,0,1,0] => [3,1,5,2,4] => 5
[[0,1,0,0],[1,-1,1,0],[0,1,0,0],[0,0,0,1]] => [1,1,0,1,0,0,1,0] => [5,3,1,2,4] => 4
[[0,0,1,0],[1,0,0,0],[0,1,0,0],[0,0,0,1]] => [1,1,1,0,0,0,1,0] => [2,3,5,1,4] => 4
[[0,1,0,0],[0,0,1,0],[1,0,0,0],[0,0,0,1]] => [1,1,0,1,0,0,1,0] => [5,3,1,2,4] => 4
[[0,0,1,0],[0,1,0,0],[1,0,0,0],[0,0,0,1]] => [1,1,1,0,0,0,1,0] => [2,3,5,1,4] => 4
[[1,0,0,0],[0,1,0,0],[0,0,0,1],[0,0,1,0]] => [1,0,1,0,1,1,0,0] => [4,1,2,5,3] => 5
[[0,1,0,0],[1,0,0,0],[0,0,0,1],[0,0,1,0]] => [1,1,0,0,1,1,0,0] => [2,4,1,5,3] => 5
[[1,0,0,0],[0,0,1,0],[0,1,-1,1],[0,0,1,0]] => [1,0,1,1,0,1,0,0] => [5,1,4,2,3] => 6
[[0,1,0,0],[1,-1,1,0],[0,1,-1,1],[0,0,1,0]] => [1,1,0,1,0,1,0,0] => [5,4,1,2,3] => 4
[[0,0,1,0],[1,0,0,0],[0,1,-1,1],[0,0,1,0]] => [1,1,1,0,0,1,0,0] => [2,5,4,1,3] => 4
[[0,1,0,0],[0,0,1,0],[1,0,-1,1],[0,0,1,0]] => [1,1,0,1,0,1,0,0] => [5,4,1,2,3] => 4
[[0,0,1,0],[0,1,0,0],[1,0,-1,1],[0,0,1,0]] => [1,1,1,0,0,1,0,0] => [2,5,4,1,3] => 4
[[1,0,0,0],[0,0,0,1],[0,1,0,0],[0,0,1,0]] => [1,0,1,1,1,0,0,0] => [3,1,4,5,2] => 5
[[0,1,0,0],[1,-1,0,1],[0,1,0,0],[0,0,1,0]] => [1,1,0,1,1,0,0,0] => [4,3,1,5,2] => 6
[[0,0,1,0],[1,0,-1,1],[0,1,0,0],[0,0,1,0]] => [1,1,1,0,1,0,0,0] => [5,3,4,1,2] => 5
[[0,0,0,1],[1,0,0,0],[0,1,0,0],[0,0,1,0]] => [1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 4
[[0,1,0,0],[0,0,0,1],[1,0,0,0],[0,0,1,0]] => [1,1,0,1,1,0,0,0] => [4,3,1,5,2] => 6
[[0,0,1,0],[0,1,-1,1],[1,0,0,0],[0,0,1,0]] => [1,1,1,0,1,0,0,0] => [5,3,4,1,2] => 5
[[0,0,0,1],[0,1,0,0],[1,0,0,0],[0,0,1,0]] => [1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 4
[[1,0,0,0],[0,0,1,0],[0,0,0,1],[0,1,0,0]] => [1,0,1,1,0,1,0,0] => [5,1,4,2,3] => 6
[[0,1,0,0],[1,-1,1,0],[0,0,0,1],[0,1,0,0]] => [1,1,0,1,0,1,0,0] => [5,4,1,2,3] => 4
[[0,0,1,0],[1,0,0,0],[0,0,0,1],[0,1,0,0]] => [1,1,1,0,0,1,0,0] => [2,5,4,1,3] => 4
[[0,1,0,0],[0,0,1,0],[1,-1,0,1],[0,1,0,0]] => [1,1,0,1,0,1,0,0] => [5,4,1,2,3] => 4
[[0,0,1,0],[0,1,0,0],[1,-1,0,1],[0,1,0,0]] => [1,1,1,0,0,1,0,0] => [2,5,4,1,3] => 4
[[1,0,0,0],[0,0,0,1],[0,0,1,0],[0,1,0,0]] => [1,0,1,1,1,0,0,0] => [3,1,4,5,2] => 5
[[0,1,0,0],[1,-1,0,1],[0,0,1,0],[0,1,0,0]] => [1,1,0,1,1,0,0,0] => [4,3,1,5,2] => 6
[[0,0,1,0],[1,0,-1,1],[0,0,1,0],[0,1,0,0]] => [1,1,1,0,1,0,0,0] => [5,3,4,1,2] => 5
[[0,0,0,1],[1,0,0,0],[0,0,1,0],[0,1,0,0]] => [1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 4
[[0,1,0,0],[0,0,0,1],[1,-1,1,0],[0,1,0,0]] => [1,1,0,1,1,0,0,0] => [4,3,1,5,2] => 6
[[0,0,1,0],[0,1,-1,1],[1,-1,1,0],[0,1,0,0]] => [1,1,1,0,1,0,0,0] => [5,3,4,1,2] => 5
[[0,0,0,1],[0,1,0,0],[1,-1,1,0],[0,1,0,0]] => [1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 4
[[0,0,1,0],[0,0,0,1],[1,0,0,0],[0,1,0,0]] => [1,1,1,0,1,0,0,0] => [5,3,4,1,2] => 5
[[0,0,0,1],[0,0,1,0],[1,0,0,0],[0,1,0,0]] => [1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 4
[[0,1,0,0],[0,0,1,0],[0,0,0,1],[1,0,0,0]] => [1,1,0,1,0,1,0,0] => [5,4,1,2,3] => 4
[[0,0,1,0],[0,1,0,0],[0,0,0,1],[1,0,0,0]] => [1,1,1,0,0,1,0,0] => [2,5,4,1,3] => 4
[[0,1,0,0],[0,0,0,1],[0,0,1,0],[1,0,0,0]] => [1,1,0,1,1,0,0,0] => [4,3,1,5,2] => 6
[[0,0,1,0],[0,1,-1,1],[0,0,1,0],[1,0,0,0]] => [1,1,1,0,1,0,0,0] => [5,3,4,1,2] => 5
[[0,0,0,1],[0,1,0,0],[0,0,1,0],[1,0,0,0]] => [1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 4
[[0,0,1,0],[0,0,0,1],[0,1,0,0],[1,0,0,0]] => [1,1,1,0,1,0,0,0] => [5,3,4,1,2] => 5
[[0,0,0,1],[0,0,1,0],[0,1,0,0],[1,0,0,0]] => [1,1,1,1,0,0,0,0] => [2,3,4,5,1] => 4
[[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1]] => [1,0,1,0,1,0,1,0,1,0] => [6,1,2,3,4,5] => 5
[[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1]] => [1,1,0,0,1,0,1,0,1,0] => [2,6,1,3,4,5] => 5
[[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1]] => [1,0,1,1,0,0,1,0,1,0] => [3,1,6,2,4,5] => 6
[[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1]] => [1,1,0,1,0,0,1,0,1,0] => [6,3,1,2,4,5] => 5
[[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1]] => [1,1,1,0,0,0,1,0,1,0] => [2,3,6,1,4,5] => 5
[[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1]] => [1,1,0,1,0,0,1,0,1,0] => [6,3,1,2,4,5] => 5
[[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1]] => [1,1,1,0,0,0,1,0,1,0] => [2,3,6,1,4,5] => 5
[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,0,1,0,1,1,0,0,1,0] => [4,1,2,6,3,5] => 6
[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,0,0,1,1,0,0,1,0] => [2,4,1,6,3,5] => 6
[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,0,1,1,0,1,0,0,1,0] => [6,1,4,2,3,5] => 7
[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0] => [6,4,1,2,3,5] => 5
[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0] => [2,6,4,1,3,5] => 5
[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0] => [6,4,1,2,3,5] => 5
[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0] => [2,6,4,1,3,5] => 5
[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,0,1,1,1,0,0,0,1,0] => [3,1,4,6,2,5] => 6
[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0] => [4,3,1,6,2,5] => 7
[[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0] => [6,3,4,1,2,5] => 6
[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0] => [2,3,4,6,1,5] => 5
[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0] => [4,3,1,6,2,5] => 7
[[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0] => [6,3,4,1,2,5] => 6
[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0] => [2,3,4,6,1,5] => 5
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,0,1,1,0,1,0,0,1,0] => [6,1,4,2,3,5] => 7
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0] => [6,4,1,2,3,5] => 5
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0] => [2,6,4,1,3,5] => 5
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0] => [6,4,1,2,3,5] => 5
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0] => [2,6,4,1,3,5] => 5
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,0,1,1,1,0,0,0,1,0] => [3,1,4,6,2,5] => 6
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0] => [4,3,1,6,2,5] => 7
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0] => [6,3,4,1,2,5] => 6
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0] => [2,3,4,6,1,5] => 5
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0] => [4,3,1,6,2,5] => 7
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0] => [6,3,4,1,2,5] => 6
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0] => [2,3,4,6,1,5] => 5
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0] => [6,3,4,1,2,5] => 6
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0] => [2,3,4,6,1,5] => 5
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1]] => [1,1,0,1,0,1,0,0,1,0] => [6,4,1,2,3,5] => 5
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1]] => [1,1,1,0,0,1,0,0,1,0] => [2,6,4,1,3,5] => 5
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1]] => [1,1,0,1,1,0,0,0,1,0] => [4,3,1,6,2,5] => 7
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0] => [6,3,4,1,2,5] => 6
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0] => [2,3,4,6,1,5] => 5
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1]] => [1,1,1,0,1,0,0,0,1,0] => [6,3,4,1,2,5] => 6
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1]] => [1,1,1,1,0,0,0,0,1,0] => [2,3,4,6,1,5] => 5
[[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [1,0,1,0,1,0,1,1,0,0] => [5,1,2,3,6,4] => 6
[[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [1,1,0,0,1,0,1,1,0,0] => [2,5,1,3,6,4] => 6
[[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [1,0,1,1,0,0,1,1,0,0] => [3,1,5,2,6,4] => 7
[[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [1,1,0,1,0,0,1,1,0,0] => [5,3,1,2,6,4] => 6
[[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [1,1,1,0,0,0,1,1,0,0] => [2,3,5,1,6,4] => 6
[[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [1,1,0,1,0,0,1,1,0,0] => [5,3,1,2,6,4] => 6
[[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0]] => [1,1,1,0,0,0,1,1,0,0] => [2,3,5,1,6,4] => 6
>>> Load all 481 entries. <<<
[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,0,1,0,1,1,0,1,0,0] => [6,1,2,5,3,4] => 7
[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,0,0,1,1,0,1,0,0] => [2,6,1,5,3,4] => 7
[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,0] => [6,1,5,2,3,4] => 8
[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,0] => [5,6,1,2,3,4] => 5
[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,0] => [2,6,5,1,3,4] => 5
[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,0] => [5,6,1,2,3,4] => 5
[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,0] => [2,6,5,1,3,4] => 5
[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,0,1,1,1,0,0,1,0,0] => [3,1,6,5,2,4] => 6
[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,0] => [6,3,1,5,2,4] => 8
[[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => 7
[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,0] => [2,3,6,5,1,4] => 5
[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,0] => [6,3,1,5,2,4] => 8
[[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => 7
[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,0] => [2,3,6,5,1,4] => 5
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,0,1,1,0,1,0,1,0,0] => [6,1,5,2,3,4] => 8
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,0] => [5,6,1,2,3,4] => 5
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,0] => [2,6,5,1,3,4] => 5
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,0] => [5,6,1,2,3,4] => 5
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,0] => [2,6,5,1,3,4] => 5
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,0,1,1,1,0,0,1,0,0] => [3,1,6,5,2,4] => 6
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,0] => [6,3,1,5,2,4] => 8
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => 7
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,0] => [2,3,6,5,1,4] => 5
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,0] => [6,3,1,5,2,4] => 8
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => 7
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,0] => [2,3,6,5,1,4] => 5
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => 7
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,-1,1],[0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,0] => [2,3,6,5,1,4] => 5
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0]] => [1,1,0,1,0,1,0,1,0,0] => [5,6,1,2,3,4] => 5
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0]] => [1,1,1,0,0,1,0,1,0,0] => [2,6,5,1,3,4] => 5
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0]] => [1,1,0,1,1,0,0,1,0,0] => [6,3,1,5,2,4] => 8
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => 7
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,0] => [2,3,6,5,1,4] => 5
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,-1,1],[0,0,0,1,0]] => [1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => 7
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,-1,1],[0,0,0,1,0]] => [1,1,1,1,0,0,0,1,0,0] => [2,3,6,5,1,4] => 5
[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,0,1,0,1,1,1,0,0,0] => [4,1,2,5,6,3] => 6
[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,0,0,1,1,1,0,0,0] => [2,4,1,5,6,3] => 6
[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,0,1,1,0,1,1,0,0,0] => [5,1,4,2,6,3] => 9
[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,0] => [5,4,1,2,6,3] => 7
[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,5,4,1,6,3] => 7
[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,0] => [5,4,1,2,6,3] => 7
[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,5,4,1,6,3] => 7
[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,0,1,1,1,0,1,0,0,0] => [6,1,4,5,2,3] => 8
[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => 8
[[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => 8
[[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [1,0,1,1,1,1,0,0,0,0] => [3,1,4,5,6,2] => 6
[[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,0] => [4,3,1,5,6,2] => 7
[[0,0,1,0,0],[1,0,-1,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[1,0,0,-1,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,0] => [4,3,1,5,6,2] => 7
[[0,0,1,0,0],[0,1,-1,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,1,0,-1,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,0,1,1,0,1,1,0,0,0] => [5,1,4,2,6,3] => 9
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,0] => [5,4,1,2,6,3] => 7
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,5,4,1,6,3] => 7
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,0] => [5,4,1,2,6,3] => 7
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,5,4,1,6,3] => 7
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,0,1,1,1,0,1,0,0,0] => [6,1,4,5,2,3] => 8
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => 8
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => 8
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,0,1,1,1,1,0,0,0,0] => [3,1,4,5,6,2] => 6
[[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,0] => [4,3,1,5,6,2] => 7
[[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,0] => [4,3,1,5,6,2] => 7
[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,1,0,-1,1],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,0,1,0,1,1,0,0,0] => [5,4,1,2,6,3] => 7
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,5,4,1,6,3] => 7
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => 8
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,0,1,1,1,0,0,0,0] => [4,3,1,5,6,2] => 7
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,0,1,0,1,1,0,1,0,0] => [6,1,2,5,3,4] => 7
[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,0,0,1,1,0,1,0,0] => [2,6,1,5,3,4] => 7
[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,0,1,1,0,1,0,1,0,0] => [6,1,5,2,3,4] => 8
[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,0] => [5,6,1,2,3,4] => 5
[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,0] => [2,6,5,1,3,4] => 5
[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,0] => [5,6,1,2,3,4] => 5
[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,0] => [2,6,5,1,3,4] => 5
[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,0,1,1,1,0,0,1,0,0] => [3,1,6,5,2,4] => 6
[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,0] => [6,3,1,5,2,4] => 8
[[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => 7
[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,0] => [2,3,6,5,1,4] => 5
[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,0] => [6,3,1,5,2,4] => 8
[[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => 7
[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,0] => [2,3,6,5,1,4] => 5
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,0,1,1,0,1,0,1,0,0] => [6,1,5,2,3,4] => 8
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,0] => [5,6,1,2,3,4] => 5
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,0] => [2,6,5,1,3,4] => 5
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,0] => [5,6,1,2,3,4] => 5
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,0] => [2,6,5,1,3,4] => 5
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,0,1,1,1,0,0,1,0,0] => [3,1,6,5,2,4] => 6
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,0] => [6,3,1,5,2,4] => 8
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => 7
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,0] => [2,3,6,5,1,4] => 5
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,0] => [6,3,1,5,2,4] => 8
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => 7
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,0] => [2,3,6,5,1,4] => 5
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => 7
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,0] => [2,3,6,5,1,4] => 5
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,0,1,0,0]] => [1,1,0,1,0,1,0,1,0,0] => [5,6,1,2,3,4] => 5
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,0,1,0,0]] => [1,1,1,0,0,1,0,1,0,0] => [2,6,5,1,3,4] => 5
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0]] => [1,1,0,1,1,0,0,1,0,0] => [6,3,1,5,2,4] => 8
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => 7
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,0] => [2,3,6,5,1,4] => 5
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,1,0,0]] => [1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => 7
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,1,0,0]] => [1,1,1,1,0,0,0,1,0,0] => [2,3,6,5,1,4] => 5
[[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,0,1,0,1,1,1,0,0,0] => [4,1,2,5,6,3] => 6
[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,0,0,1,1,1,0,0,0] => [2,4,1,5,6,3] => 6
[[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,0,1,1,0,1,1,0,0,0] => [5,1,4,2,6,3] => 9
[[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,0] => [5,4,1,2,6,3] => 7
[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,5,4,1,6,3] => 7
[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,0] => [5,4,1,2,6,3] => 7
[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,5,4,1,6,3] => 7
[[1,0,0,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,0] => [6,1,4,5,2,3] => 8
[[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => 8
[[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[1,0,0,0,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,1,0,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => 8
[[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,0] => [3,1,4,5,6,2] => 6
[[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [4,3,1,5,6,2] => 7
[[0,0,1,0,0],[1,0,-1,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[1,0,0,-1,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [4,3,1,5,6,2] => 7
[[0,0,1,0,0],[0,1,-1,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,1,0,-1,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,0,1,1,0,1,1,0,0,0] => [5,1,4,2,6,3] => 9
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,0] => [5,4,1,2,6,3] => 7
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,5,4,1,6,3] => 7
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,0] => [5,4,1,2,6,3] => 7
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,5,4,1,6,3] => 7
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,0] => [6,1,4,5,2,3] => 8
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => 8
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => 8
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,0] => [3,1,4,5,6,2] => 6
[[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [4,3,1,5,6,2] => 7
[[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [4,3,1,5,6,2] => 7
[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,1,0,-1,1],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,0,1,1,0,0,0] => [5,4,1,2,6,3] => 7
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,5,4,1,6,3] => 7
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => 8
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [4,3,1,5,6,2] => 7
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [1,0,1,1,1,0,1,0,0,0] => [6,1,4,5,2,3] => 8
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => 8
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => 8
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,0,1,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,0,1,1,1,1,0,0,0,0] => [3,1,4,5,6,2] => 6
[[0,1,0,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [4,3,1,5,6,2] => 7
[[0,0,1,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,1,0,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [4,3,1,5,6,2] => 7
[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,1,0,-1,1],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,0,1,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => 8
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [4,3,1,5,6,2] => 7
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,0,1,1,0,1,0,1,0,0] => [6,1,5,2,3,4] => 8
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,0] => [5,6,1,2,3,4] => 5
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,0] => [2,6,5,1,3,4] => 5
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,0] => [5,6,1,2,3,4] => 5
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,0] => [2,6,5,1,3,4] => 5
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,0,1,1,1,0,0,1,0,0] => [3,1,6,5,2,4] => 6
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,0] => [6,3,1,5,2,4] => 8
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => 7
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,0] => [2,3,6,5,1,4] => 5
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,0] => [6,3,1,5,2,4] => 8
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => 7
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,0] => [2,3,6,5,1,4] => 5
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => 7
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,0] => [2,3,6,5,1,4] => 5
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,1,0,0,0]] => [1,1,0,1,0,1,0,1,0,0] => [5,6,1,2,3,4] => 5
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,1,0,0,0]] => [1,1,1,0,0,1,0,1,0,0] => [2,6,5,1,3,4] => 5
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0]] => [1,1,0,1,1,0,0,1,0,0] => [6,3,1,5,2,4] => 8
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => 7
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,0] => [2,3,6,5,1,4] => 5
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0]] => [1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => 7
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0]] => [1,1,1,1,0,0,0,1,0,0] => [2,3,6,5,1,4] => 5
[[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,0,1,1,0,1,1,0,0,0] => [5,1,4,2,6,3] => 9
[[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,0] => [5,4,1,2,6,3] => 7
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,5,4,1,6,3] => 7
[[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,0] => [5,4,1,2,6,3] => 7
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,5,4,1,6,3] => 7
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,0,1,1,1,0,1,0,0,0] => [6,1,4,5,2,3] => 8
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => 8
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => 8
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,0,1,1,1,1,0,0,0,0] => [3,1,4,5,6,2] => 6
[[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [4,3,1,5,6,2] => 7
[[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [4,3,1,5,6,2] => 7
[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,1,0,-1,1],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,0,1,0,1,1,0,0,0] => [5,4,1,2,6,3] => 7
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,5,4,1,6,3] => 7
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => 8
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [4,3,1,5,6,2] => 7
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [1,0,1,1,1,0,1,0,0,0] => [6,1,4,5,2,3] => 8
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => 8
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => 8
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,0,1,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,0,1,1,1,1,0,0,0,0] => [3,1,4,5,6,2] => 6
[[0,1,0,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [4,3,1,5,6,2] => 7
[[0,0,1,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,1,0,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [4,3,1,5,6,2] => 7
[[0,0,1,0,0],[0,1,-1,0,1],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,1,0,-1,1],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,0,1,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => 8
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [4,3,1,5,6,2] => 7
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0]] => [1,1,0,1,0,1,0,1,0,0] => [5,6,1,2,3,4] => 5
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0]] => [1,1,1,0,0,1,0,1,0,0] => [2,6,5,1,3,4] => 5
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0]] => [1,1,0,1,1,0,0,1,0,0] => [6,3,1,5,2,4] => 8
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => 7
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,0] => [2,3,6,5,1,4] => 5
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0]] => [1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => 7
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0]] => [1,1,1,1,0,0,0,1,0,0] => [2,3,6,5,1,4] => 5
[[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,0,1,0,1,1,0,0,0] => [5,4,1,2,6,3] => 7
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,1,0,0,1,1,0,0,0] => [2,5,4,1,6,3] => 7
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => 8
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [4,3,1,5,6,2] => 7
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => 8
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,0,1,1,1,0,0,0,0] => [4,3,1,5,6,2] => 7
[[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0]] => [1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => 5
[[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0]] => [1,1,1,1,0,0,1,0,0,0] => [2,6,4,5,1,3] => 6
[[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0]] => [1,1,1,0,1,1,0,0,0,0] => [5,3,4,1,6,2] => 9
[[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
[[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0]] => [1,1,1,1,0,1,0,0,0,0] => [6,3,4,5,1,2] => 7
[[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0]] => [1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => 5
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Description
The sum of the descent differences of a permutations.
This statistic is given by
$$\pi \mapsto \sum_{i\in\operatorname{Des}(\pi)} (\pi_i-\pi_{i+1}).$$
See St000111The sum of the descent tops (or Genocchi descents) of a permutation. and St000154The sum of the descent bottoms of a permutation. for the sum of the descent tops and the descent bottoms, respectively. This statistic was studied in [1] and [2] where is was called the drop of a permutation.
Map
to Dyck path
Description
The Dyck path determined by the last diagonal of the monotone triangle of an alternating sign matrix.
Map
Ringel
Description
The Ringel permutation of the LNakayama algebra corresponding to a Dyck path.