Identifier
Values
[2,3,4,1] => [4,2,3,1] => [1,4,2,3] => ([(1,3),(2,3)],4) => 2
[2,4,3,1] => [4,3,2,1] => [1,4,2,3] => ([(1,3),(2,3)],4) => 2
[3,1,4,2] => [4,2,3,1] => [1,4,2,3] => ([(1,3),(2,3)],4) => 2
[3,2,4,1] => [4,2,3,1] => [1,4,2,3] => ([(1,3),(2,3)],4) => 2
[3,4,1,2] => [4,3,2,1] => [1,4,2,3] => ([(1,3),(2,3)],4) => 2
[3,4,2,1] => [4,3,2,1] => [1,4,2,3] => ([(1,3),(2,3)],4) => 2
[4,1,2,3] => [4,2,3,1] => [1,4,2,3] => ([(1,3),(2,3)],4) => 2
[4,1,3,2] => [4,2,3,1] => [1,4,2,3] => ([(1,3),(2,3)],4) => 2
[4,2,1,3] => [4,3,2,1] => [1,4,2,3] => ([(1,3),(2,3)],4) => 2
[4,2,3,1] => [4,3,2,1] => [1,4,2,3] => ([(1,3),(2,3)],4) => 2
[4,3,1,2] => [4,3,2,1] => [1,4,2,3] => ([(1,3),(2,3)],4) => 2
[4,3,2,1] => [4,3,2,1] => [1,4,2,3] => ([(1,3),(2,3)],4) => 2
[2,3,4,5,1] => [5,2,3,4,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[2,3,5,4,1] => [5,2,4,3,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[2,4,3,5,1] => [5,3,2,4,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[2,4,5,1,3] => [4,5,3,1,2] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[2,4,5,3,1] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[2,5,3,1,4] => [4,5,3,1,2] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[2,5,3,4,1] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[2,5,4,1,3] => [4,5,3,1,2] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[2,5,4,3,1] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[3,1,4,5,2] => [5,2,3,4,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[3,1,5,4,2] => [5,2,4,3,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[3,2,4,5,1] => [5,2,3,4,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[3,2,5,4,1] => [5,2,4,3,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[3,4,1,5,2] => [5,3,2,4,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[3,4,2,5,1] => [5,3,2,4,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[3,4,5,1,2] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[3,4,5,2,1] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[3,5,1,2,4] => [4,5,3,1,2] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[3,5,1,4,2] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[3,5,2,1,4] => [4,5,3,1,2] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[3,5,2,4,1] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[3,5,4,1,2] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[3,5,4,2,1] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[4,1,2,5,3] => [5,2,3,4,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[4,1,3,5,2] => [5,2,3,4,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[4,1,5,2,3] => [5,2,4,3,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[4,1,5,3,2] => [5,2,4,3,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[4,2,1,5,3] => [5,3,2,4,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[4,2,3,5,1] => [5,3,2,4,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[4,2,5,1,3] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[4,2,5,3,1] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[4,3,1,5,2] => [5,3,2,4,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[4,3,2,5,1] => [5,3,2,4,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[4,3,5,1,2] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[4,3,5,2,1] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[4,5,1,2,3] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[4,5,1,3,2] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[4,5,2,1,3] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[4,5,2,3,1] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[4,5,3,1,2] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[4,5,3,2,1] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[5,1,2,3,4] => [5,2,3,4,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[5,1,2,4,3] => [5,2,3,4,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[5,1,3,2,4] => [5,2,4,3,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[5,1,3,4,2] => [5,2,4,3,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[5,1,4,2,3] => [5,2,4,3,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[5,1,4,3,2] => [5,2,4,3,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[5,2,1,3,4] => [5,3,2,4,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[5,2,1,4,3] => [5,3,2,4,1] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 3
[5,2,3,1,4] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[5,2,3,4,1] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[5,2,4,1,3] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[5,2,4,3,1] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[5,3,1,2,4] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[5,3,1,4,2] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[5,3,2,1,4] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[5,3,2,4,1] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[5,3,4,1,2] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[5,3,4,2,1] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[5,4,1,2,3] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[5,4,1,3,2] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[5,4,2,1,3] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[5,4,2,3,1] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[5,4,3,1,2] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[5,4,3,2,1] => [5,4,3,2,1] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 2
[2,3,4,5,6,1] => [6,2,3,4,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[2,3,4,6,5,1] => [6,2,3,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[2,3,5,4,6,1] => [6,2,4,3,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[2,3,5,6,1,4] => [5,2,6,4,1,3] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[2,3,5,6,4,1] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[2,3,6,4,1,5] => [5,2,6,4,1,3] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[2,3,6,4,5,1] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[2,3,6,5,1,4] => [5,2,6,4,1,3] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[2,3,6,5,4,1] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[2,4,3,5,6,1] => [6,3,2,4,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[2,4,3,6,5,1] => [6,3,2,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[2,4,5,1,6,3] => [4,6,3,1,5,2] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[2,4,5,3,6,1] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[2,4,5,6,1,3] => [5,6,3,4,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[2,4,5,6,3,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[2,4,6,1,5,3] => [4,6,5,1,3,2] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[2,4,6,3,5,1] => [6,4,5,2,3,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[2,4,6,5,1,3] => [5,6,4,3,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[2,4,6,5,3,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[2,5,3,1,6,4] => [4,6,3,1,5,2] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[2,5,3,4,6,1] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[2,5,3,6,1,4] => [5,6,3,4,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[2,5,3,6,4,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[2,5,4,1,6,3] => [4,6,3,1,5,2] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
>>> Load all 496 entries. <<<
[2,5,4,3,6,1] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[2,5,4,6,1,3] => [5,6,3,4,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[2,5,4,6,3,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[2,5,6,1,3,4] => [4,6,5,1,3,2] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[2,5,6,1,4,3] => [4,6,5,1,3,2] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[2,5,6,3,1,4] => [5,6,4,3,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[2,5,6,3,4,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[2,5,6,4,1,3] => [5,6,4,3,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[2,5,6,4,3,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[2,6,3,1,4,5] => [4,6,3,1,5,2] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[2,6,3,1,5,4] => [4,6,3,1,5,2] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[2,6,3,4,1,5] => [5,6,3,4,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[2,6,3,4,5,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[2,6,3,5,1,4] => [5,6,3,4,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[2,6,3,5,4,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[2,6,4,1,3,5] => [4,6,5,1,3,2] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[2,6,4,1,5,3] => [4,6,5,1,3,2] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[2,6,4,3,1,5] => [5,6,4,3,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[2,6,4,3,5,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[2,6,4,5,1,3] => [5,6,4,3,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[2,6,4,5,3,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[2,6,5,1,3,4] => [4,6,5,1,3,2] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[2,6,5,1,4,3] => [4,6,5,1,3,2] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[2,6,5,3,1,4] => [5,6,4,3,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[2,6,5,3,4,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[2,6,5,4,1,3] => [5,6,4,3,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[2,6,5,4,3,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,1,4,5,6,2] => [6,2,3,4,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[3,1,4,6,5,2] => [6,2,3,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[3,1,5,4,6,2] => [6,2,4,3,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[3,1,5,6,2,4] => [5,2,6,4,1,3] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[3,1,5,6,4,2] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,1,6,4,2,5] => [5,2,6,4,1,3] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[3,1,6,4,5,2] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,1,6,5,2,4] => [5,2,6,4,1,3] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[3,1,6,5,4,2] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,2,4,5,6,1] => [6,2,3,4,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[3,2,4,6,5,1] => [6,2,3,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[3,2,5,4,6,1] => [6,2,4,3,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[3,2,5,6,1,4] => [5,2,6,4,1,3] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[3,2,5,6,4,1] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,2,6,4,1,5] => [5,2,6,4,1,3] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[3,2,6,4,5,1] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,2,6,5,1,4] => [5,2,6,4,1,3] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[3,2,6,5,4,1] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,4,1,5,6,2] => [6,3,2,4,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[3,4,1,6,5,2] => [6,3,2,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[3,4,2,5,6,1] => [6,3,2,4,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[3,4,2,6,5,1] => [6,3,2,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[3,4,5,1,6,2] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,4,5,2,6,1] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,4,5,6,1,2] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,4,5,6,2,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,4,6,1,5,2] => [6,4,5,2,3,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,4,6,2,5,1] => [6,4,5,2,3,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,4,6,5,1,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,4,6,5,2,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,5,1,2,6,4] => [4,6,3,1,5,2] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[3,5,1,4,6,2] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,5,1,6,2,4] => [5,6,3,4,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[3,5,1,6,4,2] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,5,2,1,6,4] => [4,6,3,1,5,2] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[3,5,2,4,6,1] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,5,2,6,1,4] => [5,6,3,4,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[3,5,2,6,4,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,5,4,1,6,2] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,5,4,2,6,1] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,5,4,6,1,2] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,5,4,6,2,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,5,6,1,2,4] => [5,6,4,3,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[3,5,6,1,4,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,5,6,2,1,4] => [5,6,4,3,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[3,5,6,2,4,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,5,6,4,1,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,5,6,4,2,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,6,1,2,4,5] => [4,6,3,1,5,2] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[3,6,1,2,5,4] => [4,6,3,1,5,2] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[3,6,1,4,2,5] => [5,6,3,4,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[3,6,1,4,5,2] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,6,1,5,2,4] => [5,6,3,4,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[3,6,1,5,4,2] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,6,2,1,4,5] => [4,6,3,1,5,2] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[3,6,2,1,5,4] => [4,6,3,1,5,2] => [1,4,2,6,3,5] => ([(1,5),(2,4),(3,4),(3,5)],6) => 2
[3,6,2,4,1,5] => [5,6,3,4,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[3,6,2,4,5,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,6,2,5,1,4] => [5,6,3,4,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[3,6,2,5,4,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,6,4,1,2,5] => [5,6,4,3,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[3,6,4,1,5,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,6,4,2,1,5] => [5,6,4,3,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[3,6,4,2,5,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,6,4,5,1,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,6,4,5,2,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,6,5,1,2,4] => [5,6,4,3,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[3,6,5,1,4,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,6,5,2,1,4] => [5,6,4,3,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[3,6,5,2,4,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,6,5,4,1,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[3,6,5,4,2,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,1,2,5,6,3] => [6,2,3,4,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[4,1,2,6,5,3] => [6,2,3,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[4,1,3,5,6,2] => [6,2,3,4,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[4,1,3,6,5,2] => [6,2,3,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[4,1,5,2,6,3] => [6,2,4,3,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[4,1,5,3,6,2] => [6,2,4,3,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[4,1,5,6,2,3] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,1,5,6,3,2] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,1,6,2,3,5] => [5,2,6,4,1,3] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[4,1,6,2,5,3] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,1,6,3,2,5] => [5,2,6,4,1,3] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[4,1,6,3,5,2] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,1,6,5,2,3] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,1,6,5,3,2] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,2,1,5,6,3] => [6,3,2,4,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[4,2,1,6,5,3] => [6,3,2,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[4,2,3,5,6,1] => [6,3,2,4,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[4,2,3,6,5,1] => [6,3,2,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[4,2,5,1,6,3] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,2,5,3,6,1] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,2,5,6,1,3] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,2,5,6,3,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,2,6,1,5,3] => [6,4,5,2,3,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,2,6,3,5,1] => [6,4,5,2,3,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,2,6,5,1,3] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,2,6,5,3,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,3,1,5,6,2] => [6,3,2,4,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[4,3,1,6,5,2] => [6,3,2,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[4,3,2,5,6,1] => [6,3,2,4,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[4,3,2,6,5,1] => [6,3,2,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[4,3,5,1,6,2] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,3,5,2,6,1] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,3,5,6,1,2] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,3,5,6,2,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,3,6,1,5,2] => [6,4,5,2,3,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,3,6,2,5,1] => [6,4,5,2,3,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,3,6,5,1,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,3,6,5,2,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,5,1,2,6,3] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,5,1,3,6,2] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,5,1,6,2,3] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,5,1,6,3,2] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,5,2,1,6,3] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,5,2,3,6,1] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,5,2,6,1,3] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,5,2,6,3,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,5,3,1,6,2] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,5,3,2,6,1] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,5,3,6,1,2] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,5,3,6,2,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,5,6,1,2,3] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,5,6,1,3,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,5,6,2,1,3] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,5,6,2,3,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,5,6,3,1,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,5,6,3,2,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,6,1,2,3,5] => [5,6,3,4,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[4,6,1,2,5,3] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,6,1,3,2,5] => [5,6,3,4,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[4,6,1,3,5,2] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,6,1,5,2,3] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,6,1,5,3,2] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,6,2,1,3,5] => [5,6,4,3,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[4,6,2,1,5,3] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,6,2,3,1,5] => [5,6,4,3,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[4,6,2,3,5,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,6,2,5,1,3] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,6,2,5,3,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,6,3,1,2,5] => [5,6,4,3,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[4,6,3,1,5,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,6,3,2,1,5] => [5,6,4,3,1,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 2
[4,6,3,2,5,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,6,3,5,1,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,6,3,5,2,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,6,5,1,2,3] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,6,5,1,3,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,6,5,2,1,3] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,6,5,2,3,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,6,5,3,1,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[4,6,5,3,2,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,1,2,3,6,4] => [6,2,3,4,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[5,1,2,4,6,3] => [6,2,3,4,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[5,1,2,6,3,4] => [6,2,3,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[5,1,2,6,4,3] => [6,2,3,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[5,1,3,2,6,4] => [6,2,4,3,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[5,1,3,4,6,2] => [6,2,4,3,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[5,1,3,6,2,4] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,1,3,6,4,2] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,1,4,2,6,3] => [6,2,4,3,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[5,1,4,3,6,2] => [6,2,4,3,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[5,1,4,6,2,3] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,1,4,6,3,2] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,1,6,2,3,4] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,1,6,2,4,3] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,1,6,3,2,4] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,1,6,3,4,2] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,1,6,4,2,3] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,1,6,4,3,2] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,2,1,3,6,4] => [6,3,2,4,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[5,2,1,4,6,3] => [6,3,2,4,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[5,2,1,6,3,4] => [6,3,2,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[5,2,1,6,4,3] => [6,3,2,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[5,2,3,1,6,4] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,2,3,4,6,1] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,2,3,6,1,4] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,2,3,6,4,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,2,4,1,6,3] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,2,4,3,6,1] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,2,4,6,1,3] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,2,4,6,3,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,2,6,1,3,4] => [6,4,5,2,3,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,2,6,1,4,3] => [6,4,5,2,3,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,2,6,3,1,4] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,2,6,3,4,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,2,6,4,1,3] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,2,6,4,3,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,3,1,2,6,4] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,3,1,4,6,2] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,3,1,6,2,4] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,3,1,6,4,2] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,3,2,1,6,4] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,3,2,4,6,1] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,3,2,6,1,4] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,3,2,6,4,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,3,4,1,6,2] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,3,4,2,6,1] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,3,4,6,1,2] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,3,4,6,2,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,3,6,1,2,4] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,3,6,1,4,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,3,6,2,1,4] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,3,6,2,4,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,3,6,4,1,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,3,6,4,2,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,4,1,2,6,3] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,4,1,3,6,2] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,4,1,6,2,3] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,4,1,6,3,2] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,4,2,1,6,3] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,4,2,3,6,1] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,4,2,6,1,3] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,4,2,6,3,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,4,3,1,6,2] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,4,3,2,6,1] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,4,3,6,1,2] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,4,3,6,2,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,4,6,1,2,3] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,4,6,1,3,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,4,6,2,1,3] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,4,6,2,3,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,4,6,3,1,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,4,6,3,2,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,6,1,2,3,4] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,6,1,2,4,3] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,6,1,3,2,4] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,6,1,3,4,2] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,6,1,4,2,3] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,6,1,4,3,2] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,6,2,1,3,4] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,6,2,1,4,3] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,6,2,3,1,4] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,6,2,3,4,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,6,2,4,1,3] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,6,2,4,3,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,6,3,1,2,4] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,6,3,1,4,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,6,3,2,1,4] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,6,3,2,4,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,6,3,4,1,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,6,3,4,2,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,6,4,1,2,3] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,6,4,1,3,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,6,4,2,1,3] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,6,4,2,3,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,6,4,3,1,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[5,6,4,3,2,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,1,2,3,4,5] => [6,2,3,4,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[6,1,2,3,5,4] => [6,2,3,4,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[6,1,2,4,3,5] => [6,2,3,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[6,1,2,4,5,3] => [6,2,3,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[6,1,2,5,3,4] => [6,2,3,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[6,1,2,5,4,3] => [6,2,3,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[6,1,3,2,4,5] => [6,2,4,3,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[6,1,3,2,5,4] => [6,2,4,3,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[6,1,3,4,2,5] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,1,3,4,5,2] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,1,3,5,2,4] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,1,3,5,4,2] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,1,4,2,3,5] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,1,4,2,5,3] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,1,4,3,2,5] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,1,4,3,5,2] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,1,4,5,2,3] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,1,4,5,3,2] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,1,5,2,3,4] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,1,5,2,4,3] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,1,5,3,2,4] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,1,5,3,4,2] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,1,5,4,2,3] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,1,5,4,3,2] => [6,2,5,4,3,1] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,2,1,3,4,5] => [6,3,2,4,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[6,2,1,3,5,4] => [6,3,2,4,5,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[6,2,1,4,3,5] => [6,3,2,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[6,2,1,4,5,3] => [6,3,2,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[6,2,1,5,3,4] => [6,3,2,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[6,2,1,5,4,3] => [6,3,2,5,4,1] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 4
[6,2,3,1,4,5] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,2,3,1,5,4] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,2,3,4,1,5] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,2,3,4,5,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,2,3,5,1,4] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,2,3,5,4,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,2,4,1,3,5] => [6,4,5,2,3,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,2,4,1,5,3] => [6,4,5,2,3,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,2,4,3,1,5] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,2,4,3,5,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,2,4,5,1,3] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,2,4,5,3,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,2,5,1,3,4] => [6,4,5,2,3,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,2,5,1,4,3] => [6,4,5,2,3,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,2,5,3,1,4] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,2,5,3,4,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,2,5,4,1,3] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,2,5,4,3,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,3,1,2,4,5] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,3,1,2,5,4] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,3,1,4,2,5] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,3,1,4,5,2] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,3,1,5,2,4] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,3,1,5,4,2] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,3,2,1,4,5] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,3,2,1,5,4] => [6,4,3,2,5,1] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,3,2,4,1,5] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,3,2,4,5,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,3,2,5,1,4] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,3,2,5,4,1] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,3,4,1,2,5] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,3,4,1,5,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,3,4,2,1,5] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,3,4,2,5,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,3,4,5,1,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,3,4,5,2,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,3,5,1,2,4] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,3,5,1,4,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,3,5,2,1,4] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,3,5,2,4,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,3,5,4,1,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,3,5,4,2,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,4,1,2,3,5] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,4,1,2,5,3] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,4,1,3,2,5] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,4,1,3,5,2] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,4,1,5,2,3] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,4,1,5,3,2] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,4,2,1,3,5] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,4,2,1,5,3] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,4,2,3,1,5] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,4,2,3,5,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,4,2,5,1,3] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,4,2,5,3,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,4,3,1,2,5] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,4,3,1,5,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,4,3,2,1,5] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,4,3,2,5,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,4,3,5,1,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,4,3,5,2,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,4,5,1,2,3] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,4,5,1,3,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,4,5,2,1,3] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,4,5,2,3,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,4,5,3,1,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,4,5,3,2,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,5,1,2,3,4] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,5,1,2,4,3] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,5,1,3,2,4] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,5,1,3,4,2] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,5,1,4,2,3] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,5,1,4,3,2] => [6,5,3,4,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,5,2,1,3,4] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,5,2,1,4,3] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,5,2,3,1,4] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,5,2,3,4,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,5,2,4,1,3] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,5,2,4,3,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,5,3,1,2,4] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,5,3,1,4,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,5,3,2,1,4] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,5,3,2,4,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,5,3,4,1,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,5,3,4,2,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,5,4,1,2,3] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,5,4,1,3,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,5,4,2,1,3] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,5,4,2,3,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,5,4,3,1,2] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[6,5,4,3,2,1] => [6,5,4,3,2,1] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
search for individual values
searching the database for the individual values of this statistic
Description
The distinguishing index of a graph.
This is the smallest number of colours such that there is a colouring of the edges which is not preserved by any automorphism.
If the graph has a connected component which is a single edge, or at least two isolated vertices, this statistic is undefined.
Map
Demazure product with inverse
Description
This map sends a permutation $\pi$ to $\pi^{-1} \star \pi$ where $\star$ denotes the Demazure product on permutations.
This map is a surjection onto the set of involutions, i.e., the set of permutations $\pi$ for which $\pi = \pi^{-1}$.
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
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.