Identifier
Values
[1] => [1] => [1] => ([],1) => 0
[1,2] => [1,2] => [2,1] => ([(0,1)],2) => 2
[2,1] => [1,2] => [2,1] => ([(0,1)],2) => 2
[3,1,2] => [1,3,2] => [2,1,3] => ([(1,2)],3) => 2
[3,2,1] => [1,3,2] => [2,1,3] => ([(1,2)],3) => 2
[4,1,2,3] => [1,4,3,2] => [2,1,3,4] => ([(2,3)],4) => 2
[4,1,3,2] => [1,4,2,3] => [2,1,4,3] => ([(0,3),(1,2)],4) => 4
[4,2,1,3] => [1,4,3,2] => [2,1,3,4] => ([(2,3)],4) => 2
[4,2,3,1] => [1,4,2,3] => [2,1,4,3] => ([(0,3),(1,2)],4) => 4
[4,3,1,2] => [1,4,2,3] => [2,1,4,3] => ([(0,3),(1,2)],4) => 4
[4,3,2,1] => [1,4,2,3] => [2,1,4,3] => ([(0,3),(1,2)],4) => 4
[1,2,3,4,5] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 4
[1,2,3,5,4] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 4
[1,2,4,3,5] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 4
[1,2,4,5,3] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 4
[1,3,2,4,5] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 4
[1,3,2,5,4] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 4
[1,3,4,2,5] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 4
[1,3,4,5,2] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 4
[2,1,3,4,5] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 4
[2,1,3,5,4] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 4
[2,1,4,3,5] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 4
[2,1,4,5,3] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 4
[2,3,1,4,5] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 4
[2,3,1,5,4] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 4
[2,3,4,1,5] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 4
[2,3,4,5,1] => [1,2,3,4,5] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 4
[5,1,2,3,4] => [1,5,4,3,2] => [2,1,3,4,5] => ([(3,4)],5) => 2
[5,1,2,4,3] => [1,5,3,2,4] => [2,1,5,4,3] => ([(0,1),(2,3),(2,4),(3,4)],5) => 6
[5,1,3,2,4] => [1,5,4,2,3] => [2,1,3,5,4] => ([(1,4),(2,3)],5) => 4
[5,2,1,3,4] => [1,5,4,3,2] => [2,1,3,4,5] => ([(3,4)],5) => 2
[5,2,1,4,3] => [1,5,3,2,4] => [2,1,5,4,3] => ([(0,1),(2,3),(2,4),(3,4)],5) => 6
[5,2,3,1,4] => [1,5,4,2,3] => [2,1,3,5,4] => ([(1,4),(2,3)],5) => 4
[5,3,1,2,4] => [1,5,4,2,3] => [2,1,3,5,4] => ([(1,4),(2,3)],5) => 4
[5,3,2,1,4] => [1,5,4,2,3] => [2,1,3,5,4] => ([(1,4),(2,3)],5) => 4
[5,4,1,2,3] => [1,5,3,2,4] => [2,1,5,4,3] => ([(0,1),(2,3),(2,4),(3,4)],5) => 6
[5,4,1,3,2] => [1,5,2,4,3] => [2,1,4,3,5] => ([(1,4),(2,3)],5) => 4
[5,4,2,1,3] => [1,5,3,2,4] => [2,1,5,4,3] => ([(0,1),(2,3),(2,4),(3,4)],5) => 6
[5,4,2,3,1] => [1,5,2,4,3] => [2,1,4,3,5] => ([(1,4),(2,3)],5) => 4
[5,4,3,1,2] => [1,5,2,4,3] => [2,1,4,3,5] => ([(1,4),(2,3)],5) => 4
[5,4,3,2,1] => [1,5,2,4,3] => [2,1,4,3,5] => ([(1,4),(2,3)],5) => 4
[1,2,3,6,4,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[1,2,3,6,5,4] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[1,2,4,6,3,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[1,2,4,6,5,3] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[1,3,2,6,4,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[1,3,2,6,5,4] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[1,3,4,6,2,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[1,3,4,6,5,2] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[1,5,2,3,6,4] => [1,2,5,6,4,3] => [2,3,6,1,4,5] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 6
[1,5,3,2,6,4] => [1,2,5,6,4,3] => [2,3,6,1,4,5] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 6
[2,1,3,6,4,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[2,1,3,6,5,4] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[2,1,4,6,3,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[2,1,4,6,5,3] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[2,3,1,6,4,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[2,3,1,6,5,4] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[2,3,4,6,1,5] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[2,3,4,6,5,1] => [1,2,3,4,6,5] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[2,5,1,3,6,4] => [1,2,5,6,4,3] => [2,3,6,1,4,5] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 6
[2,5,3,1,6,4] => [1,2,5,6,4,3] => [2,3,6,1,4,5] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 6
[6,1,2,3,4,5] => [1,6,5,4,3,2] => [2,1,3,4,5,6] => ([(4,5)],6) => 2
[6,1,2,3,5,4] => [1,6,4,3,2,5] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 8
[6,1,2,4,3,5] => [1,6,5,3,2,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 6
[6,1,3,2,4,5] => [1,6,5,4,2,3] => [2,1,3,4,6,5] => ([(2,5),(3,4)],6) => 4
[6,1,4,5,2,3] => [1,6,3,4,5,2] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 6
[6,2,1,3,4,5] => [1,6,5,4,3,2] => [2,1,3,4,5,6] => ([(4,5)],6) => 2
[6,2,1,3,5,4] => [1,6,4,3,2,5] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 8
[6,2,1,4,3,5] => [1,6,5,3,2,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 6
[6,2,3,1,4,5] => [1,6,5,4,2,3] => [2,1,3,4,6,5] => ([(2,5),(3,4)],6) => 4
[6,2,4,5,1,3] => [1,6,3,4,5,2] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 6
[6,3,1,2,4,5] => [1,6,5,4,2,3] => [2,1,3,4,6,5] => ([(2,5),(3,4)],6) => 4
[6,3,2,1,4,5] => [1,6,5,4,2,3] => [2,1,3,4,6,5] => ([(2,5),(3,4)],6) => 4
[6,4,1,2,3,5] => [1,6,5,3,2,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 6
[6,4,1,3,2,5] => [1,6,5,2,4,3] => [2,1,3,5,4,6] => ([(2,5),(3,4)],6) => 4
[6,4,2,1,3,5] => [1,6,5,3,2,4] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 6
[6,4,2,3,1,5] => [1,6,5,2,4,3] => [2,1,3,5,4,6] => ([(2,5),(3,4)],6) => 4
[6,4,3,1,2,5] => [1,6,5,2,4,3] => [2,1,3,5,4,6] => ([(2,5),(3,4)],6) => 4
[6,4,3,2,1,5] => [1,6,5,2,4,3] => [2,1,3,5,4,6] => ([(2,5),(3,4)],6) => 4
[6,5,1,2,4,3] => [1,6,3,2,5,4] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 6
[6,5,1,3,2,4] => [1,6,4,3,2,5] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 8
[6,5,1,3,4,2] => [1,6,2,5,4,3] => [2,1,4,3,5,6] => ([(2,5),(3,4)],6) => 4
[6,5,1,4,2,3] => [1,6,3,2,5,4] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 6
[6,5,1,4,3,2] => [1,6,2,5,3,4] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 6
[6,5,2,1,4,3] => [1,6,3,2,5,4] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 6
[6,5,2,3,1,4] => [1,6,4,3,2,5] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 8
[6,5,2,3,4,1] => [1,6,2,5,4,3] => [2,1,4,3,5,6] => ([(2,5),(3,4)],6) => 4
[6,5,2,4,1,3] => [1,6,3,2,5,4] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 6
[6,5,2,4,3,1] => [1,6,2,5,3,4] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 6
[6,5,3,1,4,2] => [1,6,2,5,4,3] => [2,1,4,3,5,6] => ([(2,5),(3,4)],6) => 4
[6,5,3,2,4,1] => [1,6,2,5,4,3] => [2,1,4,3,5,6] => ([(2,5),(3,4)],6) => 4
[6,5,3,4,1,2] => [1,6,2,5,3,4] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 6
[6,5,3,4,2,1] => [1,6,2,5,3,4] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 6
[6,5,4,1,3,2] => [1,6,2,5,3,4] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 6
[6,5,4,2,3,1] => [1,6,2,5,3,4] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 6
[6,5,4,3,1,2] => [1,6,2,5,3,4] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 6
[6,5,4,3,2,1] => [1,6,2,5,3,4] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 6
[1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,2,3,7,4,6,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,2,3,7,5,4,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,2,3,7,5,6,4] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
>>> Load all 291 entries. <<<
[1,2,3,7,6,4,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,2,3,7,6,5,4] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,2,4,7,3,5,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,2,4,7,3,6,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,2,4,7,5,3,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,2,4,7,5,6,3] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,2,4,7,6,3,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,2,4,7,6,5,3] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,3,2,7,4,5,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,3,2,7,4,6,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,3,2,7,5,4,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,3,2,7,5,6,4] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,3,2,7,6,4,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,3,2,7,6,5,4] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,3,4,7,2,5,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,3,4,7,2,6,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,3,4,7,5,2,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[1,3,4,7,5,6,2] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,3,4,7,6,2,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,3,4,7,6,5,2] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[1,5,2,3,7,4,6] => [1,2,5,7,6,4,3] => [2,3,6,1,4,5,7] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 6
[1,5,3,2,7,4,6] => [1,2,5,7,6,4,3] => [2,3,6,1,4,5,7] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 6
[2,1,3,7,4,5,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[2,1,3,7,4,6,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,1,3,7,5,4,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[2,1,3,7,5,6,4] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,1,3,7,6,4,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,1,3,7,6,5,4] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,1,4,7,3,5,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[2,1,4,7,3,6,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,1,4,7,5,3,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[2,1,4,7,5,6,3] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,1,4,7,6,3,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,1,4,7,6,5,3] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,3,1,7,4,5,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[2,3,1,7,4,6,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,3,1,7,5,4,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[2,3,1,7,5,6,4] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,3,1,7,6,4,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,3,1,7,6,5,4] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,3,4,7,1,5,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[2,3,4,7,1,6,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,3,4,7,5,1,6] => [1,2,3,4,7,6,5] => [2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 4
[2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,3,4,7,6,1,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[2,5,1,3,7,4,6] => [1,2,5,7,6,4,3] => [2,3,6,1,4,5,7] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 6
[2,5,3,1,7,4,6] => [1,2,5,7,6,4,3] => [2,3,6,1,4,5,7] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 6
[7,1,2,3,4,5,6] => [1,7,6,5,4,3,2] => [2,1,3,4,5,6,7] => ([(5,6)],7) => 2
[7,1,2,3,4,6,5] => [1,7,5,4,3,2,6] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 10
[7,1,2,3,5,4,6] => [1,7,6,4,3,2,5] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,1,2,3,6,4,5] => [1,7,5,6,4,3,2] => [2,1,7,3,4,5,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,1,2,4,3,5,6] => [1,7,6,5,3,2,4] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 6
[7,1,2,6,4,3,5] => [1,7,5,4,6,3,2] => [2,1,7,6,3,4,5] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,1,3,2,4,5,6] => [1,7,6,5,4,2,3] => [2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => 4
[7,1,3,4,2,6,5] => [1,7,5,2,3,4,6] => [2,1,7,4,5,6,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,1,3,4,5,6,2] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,1,3,4,6,5,2] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,1,3,5,4,6,2] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,1,3,5,6,4,2] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,1,3,6,2,4,5] => [1,7,5,2,3,4,6] => [2,1,7,4,5,6,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,1,4,3,2,6,5] => [1,7,5,2,3,4,6] => [2,1,7,4,5,6,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,1,4,3,5,6,2] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,1,4,3,6,5,2] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,1,4,5,2,3,6] => [1,7,6,3,4,5,2] => [2,1,3,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => 6
[7,1,4,5,2,6,3] => [1,7,3,4,5,2,6] => [2,1,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,1,4,5,3,6,2] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,1,4,5,6,3,2] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,1,4,6,2,3,5] => [1,7,5,2,3,4,6] => [2,1,7,4,5,6,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,1,4,6,2,5,3] => [1,7,3,4,6,5,2] => [2,1,5,6,3,4,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => 6
[7,2,1,3,4,5,6] => [1,7,6,5,4,3,2] => [2,1,3,4,5,6,7] => ([(5,6)],7) => 2
[7,2,1,3,4,6,5] => [1,7,5,4,3,2,6] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 10
[7,2,1,3,5,4,6] => [1,7,6,4,3,2,5] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,2,1,3,6,4,5] => [1,7,5,6,4,3,2] => [2,1,7,3,4,5,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,2,1,4,3,5,6] => [1,7,6,5,3,2,4] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 6
[7,2,1,6,4,3,5] => [1,7,5,4,6,3,2] => [2,1,7,6,3,4,5] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,2,3,1,4,5,6] => [1,7,6,5,4,2,3] => [2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => 4
[7,2,3,4,1,6,5] => [1,7,5,2,3,4,6] => [2,1,7,4,5,6,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,2,3,4,5,6,1] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,2,3,4,6,5,1] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,2,3,5,4,6,1] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,2,3,5,6,4,1] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,2,3,6,1,4,5] => [1,7,5,2,3,4,6] => [2,1,7,4,5,6,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,2,4,3,1,6,5] => [1,7,5,2,3,4,6] => [2,1,7,4,5,6,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,2,4,3,5,6,1] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,2,4,3,6,5,1] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,2,4,5,1,3,6] => [1,7,6,3,4,5,2] => [2,1,3,6,7,4,5] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => 6
[7,2,4,5,1,6,3] => [1,7,3,4,5,2,6] => [2,1,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,2,4,5,3,6,1] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,2,4,5,6,3,1] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,2,4,6,1,3,5] => [1,7,5,2,3,4,6] => [2,1,7,4,5,6,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,2,4,6,1,5,3] => [1,7,3,4,6,5,2] => [2,1,5,6,3,4,7] => ([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => 6
[7,3,1,2,4,5,6] => [1,7,6,5,4,2,3] => [2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => 4
[7,3,1,4,2,6,5] => [1,7,5,2,3,4,6] => [2,1,7,4,5,6,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,3,1,4,5,6,2] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,3,1,4,6,5,2] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,3,1,5,4,6,2] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,3,1,5,6,4,2] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,3,1,6,2,4,5] => [1,7,5,2,3,4,6] => [2,1,7,4,5,6,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,3,2,1,4,5,6] => [1,7,6,5,4,2,3] => [2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => 4
[7,3,2,4,1,6,5] => [1,7,5,2,3,4,6] => [2,1,7,4,5,6,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,3,2,4,5,6,1] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,3,2,4,6,5,1] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,3,2,5,4,6,1] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,3,2,5,6,4,1] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,3,2,6,1,4,5] => [1,7,5,2,3,4,6] => [2,1,7,4,5,6,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,3,4,1,2,6,5] => [1,7,5,2,3,4,6] => [2,1,7,4,5,6,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,3,4,1,5,6,2] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,3,4,1,6,5,2] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,3,4,2,1,6,5] => [1,7,5,2,3,4,6] => [2,1,7,4,5,6,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,3,4,2,5,6,1] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,3,4,2,6,5,1] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,3,4,5,1,6,2] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,3,4,5,2,6,1] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,3,4,5,6,1,2] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,3,4,5,6,2,1] => [1,7,2,3,4,5,6] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 6
[7,3,4,6,1,2,5] => [1,7,5,2,3,4,6] => [2,1,7,4,5,6,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,3,4,6,2,1,5] => [1,7,5,2,3,4,6] => [2,1,7,4,5,6,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,4,1,2,3,5,6] => [1,7,6,5,3,2,4] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 6
[7,4,1,3,2,5,6] => [1,7,6,5,2,4,3] => [2,1,3,4,6,5,7] => ([(3,6),(4,5)],7) => 4
[7,4,2,1,3,5,6] => [1,7,6,5,3,2,4] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 6
[7,4,2,3,1,5,6] => [1,7,6,5,2,4,3] => [2,1,3,4,6,5,7] => ([(3,6),(4,5)],7) => 4
[7,4,3,1,2,5,6] => [1,7,6,5,2,4,3] => [2,1,3,4,6,5,7] => ([(3,6),(4,5)],7) => 4
[7,4,3,2,1,5,6] => [1,7,6,5,2,4,3] => [2,1,3,4,6,5,7] => ([(3,6),(4,5)],7) => 4
[7,5,1,2,4,3,6] => [1,7,6,3,2,5,4] => [2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 6
[7,5,1,3,2,4,6] => [1,7,6,4,3,2,5] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,5,1,3,4,2,6] => [1,7,6,2,5,4,3] => [2,1,3,5,4,6,7] => ([(3,6),(4,5)],7) => 4
[7,5,1,4,2,3,6] => [1,7,6,3,2,5,4] => [2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 6
[7,5,1,4,3,2,6] => [1,7,6,2,5,3,4] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[7,5,2,1,4,3,6] => [1,7,6,3,2,5,4] => [2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 6
[7,5,2,3,1,4,6] => [1,7,6,4,3,2,5] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,5,2,3,4,1,6] => [1,7,6,2,5,4,3] => [2,1,3,5,4,6,7] => ([(3,6),(4,5)],7) => 4
[7,5,2,4,1,3,6] => [1,7,6,3,2,5,4] => [2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 6
[7,5,2,4,3,1,6] => [1,7,6,2,5,3,4] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[7,5,3,1,4,2,6] => [1,7,6,2,5,4,3] => [2,1,3,5,4,6,7] => ([(3,6),(4,5)],7) => 4
[7,5,3,2,4,1,6] => [1,7,6,2,5,4,3] => [2,1,3,5,4,6,7] => ([(3,6),(4,5)],7) => 4
[7,5,3,4,1,2,6] => [1,7,6,2,5,3,4] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[7,5,3,4,2,1,6] => [1,7,6,2,5,3,4] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[7,5,4,1,3,2,6] => [1,7,6,2,5,3,4] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[7,5,4,2,3,1,6] => [1,7,6,2,5,3,4] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[7,5,4,3,1,2,6] => [1,7,6,2,5,3,4] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[7,5,4,3,2,1,6] => [1,7,6,2,5,3,4] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[7,6,1,2,4,5,3] => [1,7,3,2,6,5,4] => [2,1,5,4,3,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 6
[7,6,1,2,5,4,3] => [1,7,3,2,6,4,5] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 8
[7,6,1,3,2,5,4] => [1,7,4,3,2,6,5] => [2,1,6,5,4,3,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,6,1,3,4,2,5] => [1,7,5,4,3,2,6] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 10
[7,6,1,3,4,5,2] => [1,7,2,6,5,4,3] => [2,1,4,3,5,6,7] => ([(3,6),(4,5)],7) => 4
[7,6,1,3,5,2,4] => [1,7,4,3,2,6,5] => [2,1,6,5,4,3,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,6,1,3,5,4,2] => [1,7,2,6,4,3,5] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 8
[7,6,1,4,2,5,3] => [1,7,3,2,6,5,4] => [2,1,5,4,3,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 6
[7,6,1,4,3,5,2] => [1,7,2,6,5,3,4] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[7,6,1,4,5,2,3] => [1,7,3,2,6,4,5] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 8
[7,6,1,5,2,4,3] => [1,7,3,2,6,4,5] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 8
[7,6,1,5,4,2,3] => [1,7,3,2,6,4,5] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 8
[7,6,2,1,4,5,3] => [1,7,3,2,6,5,4] => [2,1,5,4,3,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 6
[7,6,2,1,5,4,3] => [1,7,3,2,6,4,5] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 8
[7,6,2,3,1,5,4] => [1,7,4,3,2,6,5] => [2,1,6,5,4,3,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,6,2,3,4,1,5] => [1,7,5,4,3,2,6] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 10
[7,6,2,3,4,5,1] => [1,7,2,6,5,4,3] => [2,1,4,3,5,6,7] => ([(3,6),(4,5)],7) => 4
[7,6,2,3,5,1,4] => [1,7,4,3,2,6,5] => [2,1,6,5,4,3,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,6,2,3,5,4,1] => [1,7,2,6,4,3,5] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 8
[7,6,2,4,1,5,3] => [1,7,3,2,6,5,4] => [2,1,5,4,3,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 6
[7,6,2,4,3,5,1] => [1,7,2,6,5,3,4] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[7,6,2,4,5,1,3] => [1,7,3,2,6,4,5] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 8
[7,6,2,5,1,4,3] => [1,7,3,2,6,4,5] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 8
[7,6,2,5,4,1,3] => [1,7,3,2,6,4,5] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 8
[7,6,3,1,4,5,2] => [1,7,2,6,5,4,3] => [2,1,4,3,5,6,7] => ([(3,6),(4,5)],7) => 4
[7,6,3,1,5,4,2] => [1,7,2,6,4,3,5] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 8
[7,6,3,2,4,5,1] => [1,7,2,6,5,4,3] => [2,1,4,3,5,6,7] => ([(3,6),(4,5)],7) => 4
[7,6,3,2,5,4,1] => [1,7,2,6,4,3,5] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 8
[7,6,3,4,1,5,2] => [1,7,2,6,5,3,4] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[7,6,3,4,2,5,1] => [1,7,2,6,5,3,4] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[7,6,4,1,3,5,2] => [1,7,2,6,5,3,4] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[7,6,4,2,3,5,1] => [1,7,2,6,5,3,4] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[7,6,4,3,1,5,2] => [1,7,2,6,5,3,4] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[7,6,4,3,2,5,1] => [1,7,2,6,5,3,4] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 6
[7,6,4,5,1,2,3] => [1,7,3,4,5,2,6] => [2,1,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,6,4,5,2,1,3] => [1,7,3,4,5,2,6] => [2,1,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8
[7,6,5,1,3,4,2] => [1,7,2,6,4,3,5] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 8
[7,6,5,1,4,3,2] => [1,7,2,6,3,5,4] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 6
[7,6,5,2,3,4,1] => [1,7,2,6,4,3,5] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 8
[7,6,5,2,4,3,1] => [1,7,2,6,3,5,4] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 6
[7,6,5,3,1,4,2] => [1,7,2,6,4,3,5] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 8
[7,6,5,3,2,4,1] => [1,7,2,6,4,3,5] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 8
[7,6,5,3,4,1,2] => [1,7,2,6,3,5,4] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 6
[7,6,5,3,4,2,1] => [1,7,2,6,3,5,4] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 6
[7,6,5,4,1,3,2] => [1,7,2,6,3,5,4] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 6
[7,6,5,4,2,3,1] => [1,7,2,6,3,5,4] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 6
[7,6,5,4,3,1,2] => [1,7,2,6,3,5,4] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 6
[7,6,5,4,3,2,1] => [1,7,2,6,3,5,4] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 6
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
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
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
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
Map
Lehmer code rotation
Description
Sends a permutation $\pi$ to the unique permutation $\tau$ (of the same length) such that every entry in the Lehmer code of $\tau$ is cyclically one larger than the Lehmer code of $\pi$.