Identifier
Values
[1,0] => [[1]] => [1] => ([],1) => 0
[1,0,1,0] => [[1,0],[0,1]] => [1,2] => ([],2) => 0
[1,1,0,0] => [[0,1],[1,0]] => [2,1] => ([(0,1)],2) => 2
[1,0,1,0,1,0] => [[1,0,0],[0,1,0],[0,0,1]] => [1,2,3] => ([],3) => 0
[1,0,1,1,0,0] => [[1,0,0],[0,0,1],[0,1,0]] => [1,3,2] => ([(1,2)],3) => 2
[1,1,0,0,1,0] => [[0,1,0],[1,0,0],[0,0,1]] => [2,1,3] => ([(1,2)],3) => 2
[1,1,0,1,0,0] => [[0,1,0],[1,-1,1],[0,1,0]] => [1,3,2] => ([(1,2)],3) => 2
[1,0,1,0,1,0,1,0] => [[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]] => [1,2,3,4] => ([],4) => 0
[1,0,1,0,1,1,0,0] => [[1,0,0,0],[0,1,0,0],[0,0,0,1],[0,0,1,0]] => [1,2,4,3] => ([(2,3)],4) => 2
[1,0,1,1,0,0,1,0] => [[1,0,0,0],[0,0,1,0],[0,1,0,0],[0,0,0,1]] => [1,3,2,4] => ([(2,3)],4) => 2
[1,0,1,1,0,1,0,0] => [[1,0,0,0],[0,0,1,0],[0,1,-1,1],[0,0,1,0]] => [1,2,4,3] => ([(2,3)],4) => 2
[1,1,0,0,1,0,1,0] => [[0,1,0,0],[1,0,0,0],[0,0,1,0],[0,0,0,1]] => [2,1,3,4] => ([(2,3)],4) => 2
[1,1,0,0,1,1,0,0] => [[0,1,0,0],[1,0,0,0],[0,0,0,1],[0,0,1,0]] => [2,1,4,3] => ([(0,3),(1,2)],4) => 4
[1,1,0,1,0,0,1,0] => [[0,1,0,0],[1,-1,1,0],[0,1,0,0],[0,0,0,1]] => [1,3,2,4] => ([(2,3)],4) => 2
[1,1,0,1,0,1,0,0] => [[0,1,0,0],[1,-1,1,0],[0,1,-1,1],[0,0,1,0]] => [1,2,4,3] => ([(2,3)],4) => 2
[1,1,1,0,0,1,0,0] => [[0,0,1,0],[1,0,0,0],[0,1,-1,1],[0,0,1,0]] => [2,1,4,3] => ([(0,3),(1,2)],4) => 4
[1,0,1,0,1,0,1,0,1,0] => [[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]] => [1,2,3,4,5] => ([],5) => 0
[1,0,1,0,1,0,1,1,0,0] => [[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]] => [1,2,3,5,4] => ([(3,4)],5) => 2
[1,0,1,0,1,1,0,0,1,0] => [[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]] => [1,2,4,3,5] => ([(3,4)],5) => 2
[1,0,1,0,1,1,0,1,0,0] => [[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]] => [1,2,3,5,4] => ([(3,4)],5) => 2
[1,0,1,1,0,0,1,0,1,0] => [[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]] => [1,3,2,4,5] => ([(3,4)],5) => 2
[1,0,1,1,0,0,1,1,0,0] => [[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]] => [1,3,2,5,4] => ([(1,4),(2,3)],5) => 4
[1,0,1,1,0,1,0,0,1,0] => [[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]] => [1,2,4,3,5] => ([(3,4)],5) => 2
[1,0,1,1,0,1,0,1,0,0] => [[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]] => [1,2,3,5,4] => ([(3,4)],5) => 2
[1,0,1,1,1,0,0,1,0,0] => [[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]] => [1,3,2,5,4] => ([(1,4),(2,3)],5) => 4
[1,1,0,0,1,0,1,0,1,0] => [[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]] => [2,1,3,4,5] => ([(3,4)],5) => 2
[1,1,0,0,1,0,1,1,0,0] => [[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]] => [2,1,3,5,4] => ([(1,4),(2,3)],5) => 4
[1,1,0,0,1,1,0,0,1,0] => [[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]] => [2,1,4,3,5] => ([(1,4),(2,3)],5) => 4
[1,1,0,0,1,1,0,1,0,0] => [[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]] => [2,1,3,5,4] => ([(1,4),(2,3)],5) => 4
[1,1,0,1,0,0,1,0,1,0] => [[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]] => [1,3,2,4,5] => ([(3,4)],5) => 2
[1,1,0,1,0,0,1,1,0,0] => [[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]] => [1,3,2,5,4] => ([(1,4),(2,3)],5) => 4
[1,1,0,1,0,1,0,0,1,0] => [[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]] => [1,2,4,3,5] => ([(3,4)],5) => 2
[1,1,0,1,0,1,0,1,0,0] => [[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]] => [1,2,3,5,4] => ([(3,4)],5) => 2
[1,1,0,1,1,0,0,1,0,0] => [[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]] => [1,3,2,5,4] => ([(1,4),(2,3)],5) => 4
[1,1,1,0,0,1,0,0,1,0] => [[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]] => [2,1,4,3,5] => ([(1,4),(2,3)],5) => 4
[1,1,1,0,0,1,0,1,0,0] => [[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]] => [2,1,3,5,4] => ([(1,4),(2,3)],5) => 4
[1,1,1,0,1,0,0,1,0,0] => [[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]] => [1,3,2,5,4] => ([(1,4),(2,3)],5) => 4
[1,1,1,1,1,0,0,0,0,0] => [[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]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => 4
[1,0,1,0,1,0,1,0,1,0,1,0] => [[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,2,3,4,5,6] => ([],6) => 0
[1,0,1,0,1,0,1,0,1,1,0,0] => [[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[1,0,1,0,1,0,1,1,0,0,1,0] => [[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,2,3,5,4,6] => ([(4,5)],6) => 2
[1,0,1,0,1,0,1,1,0,1,0,0] => [[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[1,0,1,0,1,1,0,0,1,0,1,0] => [[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,2,4,3,5,6] => ([(4,5)],6) => 2
[1,0,1,0,1,1,0,0,1,1,0,0] => [[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 4
[1,0,1,0,1,1,0,1,0,0,1,0] => [[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,2,3,5,4,6] => ([(4,5)],6) => 2
[1,0,1,0,1,1,0,1,0,1,0,0] => [[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[1,0,1,0,1,1,1,0,0,1,0,0] => [[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 4
[1,0,1,1,0,0,1,0,1,0,1,0] => [[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,3,2,4,5,6] => ([(4,5)],6) => 2
[1,0,1,1,0,0,1,0,1,1,0,0] => [[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 4
[1,0,1,1,0,0,1,1,0,0,1,0] => [[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 4
[1,0,1,1,0,0,1,1,0,1,0,0] => [[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 4
[1,0,1,1,0,1,0,0,1,0,1,0] => [[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,2,4,3,5,6] => ([(4,5)],6) => 2
[1,0,1,1,0,1,0,0,1,1,0,0] => [[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 4
[1,0,1,1,0,1,0,1,0,0,1,0] => [[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,2,3,5,4,6] => ([(4,5)],6) => 2
[1,0,1,1,0,1,0,1,0,1,0,0] => [[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[1,0,1,1,0,1,1,0,0,1,0,0] => [[1,0,0,0,0,0],[0,0,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 4
[1,0,1,1,1,0,0,1,0,0,1,0] => [[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 4
[1,0,1,1,1,0,0,1,0,1,0,0] => [[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 4
[1,0,1,1,1,0,1,0,0,1,0,0] => [[1,0,0,0,0,0],[0,0,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 4
[1,0,1,1,1,1,1,0,0,0,0,0] => [[1,0,0,0,0,0],[0,0,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[1,1,0,0,1,0,1,0,1,0,1,0] => [[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [2,1,3,4,5,6] => ([(4,5)],6) => 2
[1,1,0,0,1,0,1,0,1,1,0,0] => [[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [2,1,3,4,6,5] => ([(2,5),(3,4)],6) => 4
[1,1,0,0,1,0,1,1,0,0,1,0] => [[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [2,1,3,5,4,6] => ([(2,5),(3,4)],6) => 4
[1,1,0,0,1,0,1,1,0,1,0,0] => [[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [2,1,3,4,6,5] => ([(2,5),(3,4)],6) => 4
[1,1,0,0,1,1,0,0,1,0,1,0] => [[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [2,1,4,3,5,6] => ([(2,5),(3,4)],6) => 4
[1,1,0,0,1,1,0,0,1,1,0,0] => [[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 6
[1,1,0,0,1,1,0,1,0,0,1,0] => [[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [2,1,3,5,4,6] => ([(2,5),(3,4)],6) => 4
[1,1,0,0,1,1,0,1,0,1,0,0] => [[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [2,1,3,4,6,5] => ([(2,5),(3,4)],6) => 4
[1,1,0,0,1,1,1,0,0,1,0,0] => [[0,1,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 6
[1,1,0,1,0,0,1,0,1,0,1,0] => [[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,3,2,4,5,6] => ([(4,5)],6) => 2
[1,1,0,1,0,0,1,0,1,1,0,0] => [[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 4
[1,1,0,1,0,0,1,1,0,0,1,0] => [[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 4
[1,1,0,1,0,0,1,1,0,1,0,0] => [[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,0,0,0,0],[0,0,0,0,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 4
[1,1,0,1,0,1,0,0,1,0,1,0] => [[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [1,2,4,3,5,6] => ([(4,5)],6) => 2
[1,1,0,1,0,1,0,0,1,1,0,0] => [[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 4
[1,1,0,1,0,1,0,1,0,0,1,0] => [[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,2,3,5,4,6] => ([(4,5)],6) => 2
[1,1,0,1,0,1,0,1,0,1,0,0] => [[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[1,1,0,1,0,1,1,0,0,1,0,0] => [[0,1,0,0,0,0],[1,-1,1,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 4
[1,1,0,1,1,0,0,1,0,0,1,0] => [[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 4
[1,1,0,1,1,0,0,1,0,1,0,0] => [[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 4
[1,1,0,1,1,0,1,0,0,1,0,0] => [[0,1,0,0,0,0],[1,-1,0,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 4
[1,1,0,1,1,1,1,0,0,0,0,0] => [[0,1,0,0,0,0],[1,-1,0,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[1,1,1,0,0,1,0,0,1,0,1,0] => [[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,1,0],[0,0,0,0,0,1]] => [2,1,4,3,5,6] => ([(2,5),(3,4)],6) => 4
[1,1,1,0,0,1,0,0,1,1,0,0] => [[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,0,0,0],[0,0,0,0,0,1],[0,0,0,0,1,0]] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 6
[1,1,1,0,0,1,0,1,0,0,1,0] => [[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [2,1,3,5,4,6] => ([(2,5),(3,4)],6) => 4
[1,1,1,0,0,1,0,1,0,1,0,0] => [[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,1,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [2,1,3,4,6,5] => ([(2,5),(3,4)],6) => 4
[1,1,1,0,0,1,1,0,0,1,0,0] => [[0,0,1,0,0,0],[1,0,0,0,0,0],[0,1,-1,0,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 6
[1,1,1,0,1,0,0,1,0,0,1,0] => [[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 4
[1,1,1,0,1,0,0,1,0,1,0,0] => [[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,0,0,0],[0,0,1,-1,1,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 4
[1,1,1,0,1,0,1,0,0,1,0,0] => [[0,0,1,0,0,0],[1,0,-1,1,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 4
[1,1,1,0,1,1,1,0,0,0,0,0] => [[0,0,1,0,0,0],[1,0,-1,0,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[1,1,1,1,0,0,1,0,0,1,0,0] => [[0,0,0,1,0,0],[1,0,0,0,0,0],[0,1,0,-1,1,0],[0,0,1,0,0,0],[0,0,0,1,-1,1],[0,0,0,0,1,0]] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 6
[1,1,1,1,0,1,1,0,0,0,0,0] => [[0,0,0,1,0,0],[1,0,0,-1,0,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[1,1,1,1,1,0,0,0,0,0,1,0] => [[0,0,0,0,1,0],[1,0,0,0,0,0],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,0,1]] => [5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[1,1,1,1,1,0,1,0,0,0,0,0] => [[0,0,0,0,1,0],[1,0,0,0,-1,1],[0,1,0,0,0,0],[0,0,1,0,0,0],[0,0,0,1,0,0],[0,0,0,0,1,0]] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,3,4,5,6,7] => ([],7) => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,3,4,5,7,6] => ([(5,6)],7) => 2
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,3,4,6,5,7] => ([(5,6)],7) => 2
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,4,5,7,6] => ([(5,6)],7) => 2
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,3,5,4,6,7] => ([(5,6)],7) => 2
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 4
>>> Load all 250 entries. <<<
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,3,4,6,5,7] => ([(5,6)],7) => 2
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,4,5,7,6] => ([(5,6)],7) => 2
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 4
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,4,3,5,6,7] => ([(5,6)],7) => 2
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 4
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,3,5,4,6,7] => ([(5,6)],7) => 2
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 4
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,3,4,6,5,7] => ([(5,6)],7) => 2
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,4,5,7,6] => ([(5,6)],7) => 2
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 4
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 4
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 4
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,3,2,4,5,6,7] => ([(5,6)],7) => 2
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 4
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => 4
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 4
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,4,3,5,6,7] => ([(5,6)],7) => 2
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 4
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,3,5,4,6,7] => ([(5,6)],7) => 2
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 4
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,3,4,6,5,7] => ([(5,6)],7) => 2
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,4,5,7,6] => ([(5,6)],7) => 2
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 4
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 4
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 4
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,1,-1,0,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => 4
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 4
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 4
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 4
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,1,0,-1,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,1,0,0,-1,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [[1,0,0,0,0,0,0],[0,0,0,0,0,1,0],[0,1,0,0,0,-1,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [2,1,3,4,5,6,7] => ([(5,6)],7) => 2
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,3,4,6,5,7] => ([(3,6),(4,5)],7) => 4
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [2,1,3,5,4,6,7] => ([(3,6),(4,5)],7) => 4
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,3,4,6,5,7] => ([(3,6),(4,5)],7) => 4
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [2,1,4,3,5,6,7] => ([(3,6),(4,5)],7) => 4
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [2,1,3,5,4,6,7] => ([(3,6),(4,5)],7) => 4
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,3,4,6,5,7] => ([(3,6),(4,5)],7) => 4
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [[0,1,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,7,3,4,5,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,3,2,4,5,6,7] => ([(5,6)],7) => 2
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 4
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => 4
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 4
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,0,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,4,3,5,6,7] => ([(5,6)],7) => 2
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 4
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,2,3,5,4,6,7] => ([(5,6)],7) => 2
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 4
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,3,4,6,5,7] => ([(5,6)],7) => 2
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,4,5,7,6] => ([(5,6)],7) => 2
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 4
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 4
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 4
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,1,0,0,0,0],[0,1,-1,0,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => 4
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 4
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 4
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 4
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,1,0,0,0],[0,1,0,-1,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,0,1,0,0],[0,1,0,0,-1,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [[0,1,0,0,0,0,0],[1,-1,0,0,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [[0,1,0,0,0,0,0],[1,-1,0,0,0,1,0],[0,1,0,0,0,-1,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [2,1,4,3,5,6,7] => ([(3,6),(4,5)],7) => 4
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,0,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [2,1,3,5,4,6,7] => ([(3,6),(4,5)],7) => 4
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,3,4,6,5,7] => ([(3,6),(4,5)],7) => 4
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,1,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,0,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [[0,0,1,0,0,0,0],[1,0,0,0,0,0,0],[0,1,-1,0,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,7,3,4,5,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => 4
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 4
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,1,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,0,0,0,0],[0,0,1,-1,0,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 4
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 4
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 4
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,1,0,0,0],[0,1,0,-1,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,0,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,0,1,0,0],[0,1,0,0,-1,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [[0,0,1,0,0,0,0],[1,0,-1,0,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [[0,0,1,0,0,0,0],[1,0,-1,0,0,1,0],[0,1,0,0,0,-1,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,0,0,0],[0,0,0,1,-1,1,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,-1,1,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [[0,0,0,1,0,0,0],[1,0,0,0,0,0,0],[0,1,0,-1,0,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,7,3,4,5,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [[0,0,0,1,0,0,0],[1,0,0,-1,1,0,0],[0,1,0,0,0,0,0],[0,0,1,0,-1,1,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [[0,0,0,1,0,0,0],[1,0,0,-1,1,0,0],[0,1,0,0,-1,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [[0,0,0,1,0,0,0],[1,0,0,-1,0,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [[0,0,0,1,0,0,0],[1,0,0,-1,0,1,0],[0,1,0,0,0,-1,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [[0,0,0,0,1,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,1,0],[0,0,0,0,0,0,1]] => [5,1,2,3,4,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [[0,0,0,0,1,0,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,0,0,1],[0,0,0,0,0,1,0]] => [5,1,2,3,4,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [[0,0,0,0,1,0,0],[1,0,0,0,0,0,0],[0,1,0,0,-1,0,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,7,3,4,5,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [[0,0,0,0,1,0,0],[1,0,0,0,-1,1,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,0,1]] => [1,6,2,3,4,5,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [[0,0,0,0,1,0,0],[1,0,0,0,-1,1,0],[0,1,0,0,0,-1,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [1,2,7,3,4,5,6] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [[0,0,0,0,0,1,0],[1,0,0,0,0,0,0],[0,1,0,0,0,0,0],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,-1,1],[0,0,0,0,0,1,0]] => [5,1,2,3,4,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [[0,0,0,0,0,1,0],[1,0,0,0,0,0,0],[0,1,0,0,0,-1,1],[0,0,1,0,0,0,0],[0,0,0,1,0,0,0],[0,0,0,0,1,0,0],[0,0,0,0,0,1,0]] => [2,1,7,3,4,5,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
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Description
The energy of a graph, if it is integral.
The energy of a graph is the sum of the absolute values of its eigenvalues. This statistic is only defined for graphs with integral energy. It is known, that the energy is never an odd integer [2]. In fact, it is never the square root of an odd integer [3].
The energy of a graph is the sum of the energies of the connected components of a graph. The energy of the complete graph $K_n$ equals $2n-2$. For this reason, we do not define the energy of the empty graph.
Map
to left key permutation
Description
Return the permutation of the left key of an alternating sign matrix.
This was originally defined by Lascoux and then further studied by Aval [1].
Map
graph of inversions
Description
The graph of inversions of a permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.
Map
to alternating sign matrix
Description
Return the Dyck path as an alternating sign matrix.
This is an inclusion map from Dyck words of length $2n$ to certain
$n \times n$ alternating sign matrices.