Identifier
Values
[1,2] => [1,2] => [1,2] => ([(0,1)],2) => 1
[2,1] => [1,2] => [1,2] => ([(0,1)],2) => 1
[3,1,2,4] => [1,3,2,4] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4) => 0
[3,2,1,4] => [1,3,2,4] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4) => 0
[3,4,1,2] => [1,3,2,4] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4) => 0
[3,4,2,1] => [1,3,2,4] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4) => 0
[4,1,2,3] => [1,4,3,2] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4) => 1
[4,2,1,3] => [1,4,3,2] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4) => 1
[3,1,2,4,5] => [1,3,2,4,5] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5) => 0
[3,1,2,5,4] => [1,3,2,4,5] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5) => 0
[3,1,4,2,5] => [1,3,4,2,5] => [2,3,5,1,4] => ([(0,4),(1,2),(2,3),(2,4)],5) => 1
[3,1,5,2,4] => [1,3,5,4,2] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 1
[3,1,5,4,2] => [1,3,5,2,4] => [2,4,5,1,3] => ([(0,4),(1,2),(1,4),(2,3)],5) => 0
[3,2,1,4,5] => [1,3,2,4,5] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5) => 0
[3,2,1,5,4] => [1,3,2,4,5] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5) => 0
[3,2,4,1,5] => [1,3,4,2,5] => [2,3,5,1,4] => ([(0,4),(1,2),(2,3),(2,4)],5) => 1
[3,2,5,1,4] => [1,3,5,4,2] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => 1
[3,2,5,4,1] => [1,3,5,2,4] => [2,4,5,1,3] => ([(0,4),(1,2),(1,4),(2,3)],5) => 0
[3,4,1,2,5] => [1,3,2,4,5] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5) => 0
[3,4,1,5,2] => [1,3,2,4,5] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5) => 0
[3,4,2,1,5] => [1,3,2,4,5] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5) => 0
[3,4,2,5,1] => [1,3,2,4,5] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5) => 0
[3,4,5,1,2] => [1,3,5,2,4] => [2,4,5,1,3] => ([(0,4),(1,2),(1,4),(2,3)],5) => 0
[3,4,5,2,1] => [1,3,5,2,4] => [2,4,5,1,3] => ([(0,4),(1,2),(1,4),(2,3)],5) => 0
[3,5,1,2,4] => [1,3,2,5,4] => [2,5,1,4,3] => ([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 0
[3,5,1,4,2] => [1,3,2,5,4] => [2,5,1,4,3] => ([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 0
[3,5,2,1,4] => [1,3,2,5,4] => [2,5,1,4,3] => ([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 0
[3,5,2,4,1] => [1,3,2,5,4] => [2,5,1,4,3] => ([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 0
[3,5,4,1,2] => [1,3,4,2,5] => [2,3,5,1,4] => ([(0,4),(1,2),(2,3),(2,4)],5) => 1
[3,5,4,2,1] => [1,3,4,2,5] => [2,3,5,1,4] => ([(0,4),(1,2),(2,3),(2,4)],5) => 1
[4,1,2,3,5] => [1,4,3,2,5] => [3,1,2,5,4] => ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 1
[4,1,2,5,3] => [1,4,5,3,2] => [3,4,1,2,5] => ([(0,3),(1,2),(2,4),(3,4)],5) => 2
[4,1,3,2,5] => [1,4,2,3,5] => [3,5,1,2,4] => ([(0,3),(1,2),(1,4),(3,4)],5) => 1
[4,1,5,2,3] => [1,4,2,3,5] => [3,5,1,2,4] => ([(0,3),(1,2),(1,4),(3,4)],5) => 1
[4,1,5,3,2] => [1,4,3,5,2] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5) => 1
[4,2,1,3,5] => [1,4,3,2,5] => [3,1,2,5,4] => ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 1
[4,2,1,5,3] => [1,4,5,3,2] => [3,4,1,2,5] => ([(0,3),(1,2),(2,4),(3,4)],5) => 2
[4,2,3,1,5] => [1,4,2,3,5] => [3,5,1,2,4] => ([(0,3),(1,2),(1,4),(3,4)],5) => 1
[4,2,5,1,3] => [1,4,2,3,5] => [3,5,1,2,4] => ([(0,3),(1,2),(1,4),(3,4)],5) => 1
[4,2,5,3,1] => [1,4,3,5,2] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5) => 1
[4,3,1,2,5] => [1,4,2,3,5] => [3,5,1,2,4] => ([(0,3),(1,2),(1,4),(3,4)],5) => 1
[4,3,2,1,5] => [1,4,2,3,5] => [3,5,1,2,4] => ([(0,3),(1,2),(1,4),(3,4)],5) => 1
[4,3,5,1,2] => [1,4,2,3,5] => [3,5,1,2,4] => ([(0,3),(1,2),(1,4),(3,4)],5) => 1
[4,3,5,2,1] => [1,4,2,3,5] => [3,5,1,2,4] => ([(0,3),(1,2),(1,4),(3,4)],5) => 1
[4,5,1,2,3] => [1,4,2,5,3] => [3,5,1,4,2] => ([(0,3),(0,4),(1,2),(1,4)],5) => 0
[4,5,1,3,2] => [1,4,3,2,5] => [3,1,2,5,4] => ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 1
[4,5,2,1,3] => [1,4,2,5,3] => [3,5,1,4,2] => ([(0,3),(0,4),(1,2),(1,4)],5) => 0
[4,5,2,3,1] => [1,4,3,2,5] => [3,1,2,5,4] => ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 1
[4,5,3,1,2] => [1,4,2,5,3] => [3,5,1,4,2] => ([(0,3),(0,4),(1,2),(1,4)],5) => 0
[4,5,3,2,1] => [1,4,2,5,3] => [3,5,1,4,2] => ([(0,3),(0,4),(1,2),(1,4)],5) => 0
[5,1,2,3,4] => [1,5,4,3,2] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 2
[5,1,2,4,3] => [1,5,3,2,4] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5) => 1
[5,1,3,2,4] => [1,5,4,2,3] => [4,1,3,5,2] => ([(0,4),(1,2),(1,3),(3,4)],5) => 1
[5,1,4,2,3] => [1,5,3,4,2] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5) => 1
[5,2,1,3,4] => [1,5,4,3,2] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 2
[5,2,1,4,3] => [1,5,3,2,4] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5) => 1
[5,2,3,1,4] => [1,5,4,2,3] => [4,1,3,5,2] => ([(0,4),(1,2),(1,3),(3,4)],5) => 1
[5,2,4,1,3] => [1,5,3,4,2] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5) => 1
[5,3,1,2,4] => [1,5,4,2,3] => [4,1,3,5,2] => ([(0,4),(1,2),(1,3),(3,4)],5) => 1
[5,3,2,1,4] => [1,5,4,2,3] => [4,1,3,5,2] => ([(0,4),(1,2),(1,3),(3,4)],5) => 1
[5,4,1,2,3] => [1,5,3,2,4] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5) => 1
[5,4,2,1,3] => [1,5,3,2,4] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5) => 1
[3,1,2,4,5,6] => [1,3,2,4,5,6] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 0
[3,1,2,4,6,5] => [1,3,2,4,5,6] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 0
[3,1,2,5,4,6] => [1,3,2,4,5,6] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 0
[3,1,2,5,6,4] => [1,3,2,4,5,6] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 0
[3,1,2,6,4,5] => [1,3,2,4,6,5] => [2,6,1,3,5,4] => ([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 0
[3,1,2,6,5,4] => [1,3,2,4,6,5] => [2,6,1,3,5,4] => ([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 0
[3,1,4,2,5,6] => [1,3,4,2,5,6] => [2,3,6,1,4,5] => ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 1
[3,1,4,2,6,5] => [1,3,4,2,5,6] => [2,3,6,1,4,5] => ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 1
[3,1,4,5,2,6] => [1,3,4,5,2,6] => [2,3,4,6,1,5] => ([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 1
[3,1,4,6,2,5] => [1,3,4,6,5,2] => [2,3,5,1,4,6] => ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => 2
[3,1,4,6,5,2] => [1,3,4,6,2,5] => [2,3,5,6,1,4] => ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 1
[3,1,5,2,4,6] => [1,3,5,4,2,6] => [2,4,1,3,6,5] => ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 0
[3,1,5,2,6,4] => [1,3,5,6,4,2] => [2,4,5,1,3,6] => ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => 1
[3,1,5,4,2,6] => [1,3,5,2,4,6] => [2,4,6,1,3,5] => ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 0
[3,1,5,4,6,2] => [1,3,5,6,2,4] => [2,4,5,6,1,3] => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 0
[3,1,5,6,2,4] => [1,3,5,2,4,6] => [2,4,6,1,3,5] => ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 0
[3,1,5,6,4,2] => [1,3,5,4,6,2] => [2,4,1,3,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 1
[3,1,6,2,4,5] => [1,3,6,5,4,2] => [2,5,1,4,3,6] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 4
[3,1,6,2,5,4] => [1,3,6,4,2,5] => [2,5,1,3,6,4] => ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => 0
[3,1,6,4,2,5] => [1,3,6,5,2,4] => [2,5,1,4,6,3] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 0
[3,1,6,4,5,2] => [1,3,6,2,4,5] => [2,5,6,1,3,4] => ([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 0
[3,1,6,5,2,4] => [1,3,6,4,5,2] => [2,5,1,3,4,6] => ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => 1
[3,1,6,5,4,2] => [1,3,6,2,4,5] => [2,5,6,1,3,4] => ([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 0
[3,2,1,4,5,6] => [1,3,2,4,5,6] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 0
[3,2,1,4,6,5] => [1,3,2,4,5,6] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 0
[3,2,1,5,4,6] => [1,3,2,4,5,6] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 0
[3,2,1,5,6,4] => [1,3,2,4,5,6] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 0
[3,2,1,6,4,5] => [1,3,2,4,6,5] => [2,6,1,3,5,4] => ([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 0
[3,2,1,6,5,4] => [1,3,2,4,6,5] => [2,6,1,3,5,4] => ([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 0
[3,2,4,1,5,6] => [1,3,4,2,5,6] => [2,3,6,1,4,5] => ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 1
[3,2,4,1,6,5] => [1,3,4,2,5,6] => [2,3,6,1,4,5] => ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 1
[3,2,4,5,1,6] => [1,3,4,5,2,6] => [2,3,4,6,1,5] => ([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 1
[3,2,4,6,1,5] => [1,3,4,6,5,2] => [2,3,5,1,4,6] => ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => 2
[3,2,4,6,5,1] => [1,3,4,6,2,5] => [2,3,5,6,1,4] => ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 1
[3,2,5,1,4,6] => [1,3,5,4,2,6] => [2,4,1,3,6,5] => ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 0
[3,2,5,1,6,4] => [1,3,5,6,4,2] => [2,4,5,1,3,6] => ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => 1
[3,2,5,4,1,6] => [1,3,5,2,4,6] => [2,4,6,1,3,5] => ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 0
[3,2,5,4,6,1] => [1,3,5,6,2,4] => [2,4,5,6,1,3] => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 0
[3,2,5,6,1,4] => [1,3,5,2,4,6] => [2,4,6,1,3,5] => ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 0
>>> Load all 476 entries. <<<
[3,2,5,6,4,1] => [1,3,5,4,6,2] => [2,4,1,3,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => 1
[3,2,6,1,4,5] => [1,3,6,5,4,2] => [2,5,1,4,3,6] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 4
[3,2,6,1,5,4] => [1,3,6,4,2,5] => [2,5,1,3,6,4] => ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => 0
[3,2,6,4,1,5] => [1,3,6,5,2,4] => [2,5,1,4,6,3] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 0
[3,2,6,4,5,1] => [1,3,6,2,4,5] => [2,5,6,1,3,4] => ([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 0
[3,2,6,5,1,4] => [1,3,6,4,5,2] => [2,5,1,3,4,6] => ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => 1
[3,2,6,5,4,1] => [1,3,6,2,4,5] => [2,5,6,1,3,4] => ([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 0
[3,4,1,2,5,6] => [1,3,2,4,5,6] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 0
[3,4,1,2,6,5] => [1,3,2,4,5,6] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 0
[3,4,1,5,2,6] => [1,3,2,4,5,6] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 0
[3,4,1,5,6,2] => [1,3,2,4,5,6] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 0
[3,4,1,6,2,5] => [1,3,2,4,6,5] => [2,6,1,3,5,4] => ([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 0
[3,4,1,6,5,2] => [1,3,2,4,6,5] => [2,6,1,3,5,4] => ([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 0
[3,4,2,1,5,6] => [1,3,2,4,5,6] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 0
[3,4,2,1,6,5] => [1,3,2,4,5,6] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 0
[3,4,2,5,1,6] => [1,3,2,4,5,6] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 0
[3,4,2,5,6,1] => [1,3,2,4,5,6] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => 0
[3,4,2,6,1,5] => [1,3,2,4,6,5] => [2,6,1,3,5,4] => ([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 0
[3,4,2,6,5,1] => [1,3,2,4,6,5] => [2,6,1,3,5,4] => ([(0,5),(1,2),(1,5),(5,3),(5,4)],6) => 0
[3,4,5,1,2,6] => [1,3,5,2,4,6] => [2,4,6,1,3,5] => ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 0
[3,4,5,1,6,2] => [1,3,5,6,2,4] => [2,4,5,6,1,3] => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 0
[3,4,5,2,1,6] => [1,3,5,2,4,6] => [2,4,6,1,3,5] => ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 0
[3,4,5,2,6,1] => [1,3,5,6,2,4] => [2,4,5,6,1,3] => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => 0
[3,4,5,6,1,2] => [1,3,5,2,4,6] => [2,4,6,1,3,5] => ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 0
[3,4,5,6,2,1] => [1,3,5,2,4,6] => [2,4,6,1,3,5] => ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => 0
[3,4,6,1,2,5] => [1,3,6,5,2,4] => [2,5,1,4,6,3] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 0
[3,4,6,1,5,2] => [1,3,6,2,4,5] => [2,5,6,1,3,4] => ([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 0
[3,4,6,2,1,5] => [1,3,6,5,2,4] => [2,5,1,4,6,3] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6) => 0
[3,4,6,2,5,1] => [1,3,6,2,4,5] => [2,5,6,1,3,4] => ([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 0
[3,4,6,5,1,2] => [1,3,6,2,4,5] => [2,5,6,1,3,4] => ([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 0
[3,4,6,5,2,1] => [1,3,6,2,4,5] => [2,5,6,1,3,4] => ([(0,5),(1,4),(1,5),(4,2),(5,3)],6) => 0
[3,5,1,2,4,6] => [1,3,2,5,4,6] => [2,6,1,4,3,5] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 2
[3,5,1,2,6,4] => [1,3,2,5,6,4] => [2,6,1,4,5,3] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 0
[3,5,1,4,2,6] => [1,3,2,5,4,6] => [2,6,1,4,3,5] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 2
[3,5,1,4,6,2] => [1,3,2,5,6,4] => [2,6,1,4,5,3] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 0
[3,5,1,6,2,4] => [1,3,2,5,4,6] => [2,6,1,4,3,5] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 2
[3,5,1,6,4,2] => [1,3,2,5,4,6] => [2,6,1,4,3,5] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 2
[3,5,2,1,4,6] => [1,3,2,5,4,6] => [2,6,1,4,3,5] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 2
[3,5,2,1,6,4] => [1,3,2,5,6,4] => [2,6,1,4,5,3] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 0
[3,5,2,4,1,6] => [1,3,2,5,4,6] => [2,6,1,4,3,5] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 2
[3,5,2,4,6,1] => [1,3,2,5,6,4] => [2,6,1,4,5,3] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 0
[3,5,2,6,1,4] => [1,3,2,5,4,6] => [2,6,1,4,3,5] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 2
[3,5,2,6,4,1] => [1,3,2,5,4,6] => [2,6,1,4,3,5] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6) => 2
[3,5,4,1,2,6] => [1,3,4,2,5,6] => [2,3,6,1,4,5] => ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 1
[3,5,4,1,6,2] => [1,3,4,2,5,6] => [2,3,6,1,4,5] => ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 1
[3,5,4,2,1,6] => [1,3,4,2,5,6] => [2,3,6,1,4,5] => ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 1
[3,5,4,2,6,1] => [1,3,4,2,5,6] => [2,3,6,1,4,5] => ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 1
[3,5,4,6,1,2] => [1,3,4,6,2,5] => [2,3,5,6,1,4] => ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 1
[3,5,4,6,2,1] => [1,3,4,6,2,5] => [2,3,5,6,1,4] => ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 1
[3,5,6,1,2,4] => [1,3,6,4,2,5] => [2,5,1,3,6,4] => ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => 0
[3,5,6,1,4,2] => [1,3,6,2,5,4] => [2,5,6,1,4,3] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => 0
[3,5,6,2,1,4] => [1,3,6,4,2,5] => [2,5,1,3,6,4] => ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6) => 0
[3,5,6,2,4,1] => [1,3,6,2,5,4] => [2,5,6,1,4,3] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => 0
[3,5,6,4,1,2] => [1,3,6,2,5,4] => [2,5,6,1,4,3] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => 0
[3,5,6,4,2,1] => [1,3,6,2,5,4] => [2,5,6,1,4,3] => ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6) => 0
[3,6,1,2,4,5] => [1,3,2,6,5,4] => [2,6,1,5,4,3] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 0
[3,6,1,2,5,4] => [1,3,2,6,4,5] => [2,6,1,5,3,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 0
[3,6,1,4,2,5] => [1,3,2,6,5,4] => [2,6,1,5,4,3] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 0
[3,6,1,4,5,2] => [1,3,2,6,4,5] => [2,6,1,5,3,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 0
[3,6,1,5,2,4] => [1,3,2,6,4,5] => [2,6,1,5,3,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 0
[3,6,1,5,4,2] => [1,3,2,6,4,5] => [2,6,1,5,3,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 0
[3,6,2,1,4,5] => [1,3,2,6,5,4] => [2,6,1,5,4,3] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 0
[3,6,2,1,5,4] => [1,3,2,6,4,5] => [2,6,1,5,3,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 0
[3,6,2,4,1,5] => [1,3,2,6,5,4] => [2,6,1,5,4,3] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 0
[3,6,2,4,5,1] => [1,3,2,6,4,5] => [2,6,1,5,3,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 0
[3,6,2,5,1,4] => [1,3,2,6,4,5] => [2,6,1,5,3,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 0
[3,6,2,5,4,1] => [1,3,2,6,4,5] => [2,6,1,5,3,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 0
[3,6,4,1,2,5] => [1,3,4,2,6,5] => [2,3,6,1,5,4] => ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 1
[3,6,4,1,5,2] => [1,3,4,2,6,5] => [2,3,6,1,5,4] => ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 1
[3,6,4,2,1,5] => [1,3,4,2,6,5] => [2,3,6,1,5,4] => ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 1
[3,6,4,2,5,1] => [1,3,4,2,6,5] => [2,3,6,1,5,4] => ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 1
[3,6,4,5,1,2] => [1,3,4,5,2,6] => [2,3,4,6,1,5] => ([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 1
[3,6,4,5,2,1] => [1,3,4,5,2,6] => [2,3,4,6,1,5] => ([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 1
[3,6,5,1,2,4] => [1,3,5,2,6,4] => [2,4,6,1,5,3] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => 0
[3,6,5,1,4,2] => [1,3,5,4,2,6] => [2,4,1,3,6,5] => ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 0
[3,6,5,2,1,4] => [1,3,5,2,6,4] => [2,4,6,1,5,3] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => 0
[3,6,5,2,4,1] => [1,3,5,4,2,6] => [2,4,1,3,6,5] => ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => 0
[3,6,5,4,1,2] => [1,3,5,2,6,4] => [2,4,6,1,5,3] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => 0
[3,6,5,4,2,1] => [1,3,5,2,6,4] => [2,4,6,1,5,3] => ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6) => 0
[4,1,2,3,5,6] => [1,4,3,2,5,6] => [3,1,2,6,4,5] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 1
[4,1,2,3,6,5] => [1,4,3,2,5,6] => [3,1,2,6,4,5] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 1
[4,1,2,5,3,6] => [1,4,5,3,2,6] => [3,4,1,2,6,5] => ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => 2
[4,1,2,5,6,3] => [1,4,5,6,3,2] => [3,4,5,1,2,6] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[4,1,2,6,3,5] => [1,4,6,5,3,2] => [3,5,1,4,2,6] => ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => 1
[4,1,2,6,5,3] => [1,4,6,3,2,5] => [3,5,1,2,6,4] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => 1
[4,1,3,2,5,6] => [1,4,2,3,5,6] => [3,6,1,2,4,5] => ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 1
[4,1,3,2,6,5] => [1,4,2,3,5,6] => [3,6,1,2,4,5] => ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 1
[4,1,3,5,2,6] => [1,4,5,2,3,6] => [3,4,6,1,2,5] => ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 2
[4,1,3,6,2,5] => [1,4,6,5,2,3] => [3,5,1,4,6,2] => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 0
[4,1,3,6,5,2] => [1,4,6,2,3,5] => [3,5,6,1,2,4] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 1
[4,1,5,2,3,6] => [1,4,2,3,5,6] => [3,6,1,2,4,5] => ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 1
[4,1,5,2,6,3] => [1,4,2,3,5,6] => [3,6,1,2,4,5] => ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 1
[4,1,5,3,2,6] => [1,4,3,5,2,6] => [3,1,2,4,6,5] => ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 1
[4,1,5,3,6,2] => [1,4,3,5,6,2] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
[4,1,5,6,2,3] => [1,4,6,3,5,2] => [3,5,1,2,4,6] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 1
[4,1,5,6,3,2] => [1,4,6,2,3,5] => [3,5,6,1,2,4] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 1
[4,1,6,2,3,5] => [1,4,2,3,6,5] => [3,6,1,2,5,4] => ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 1
[4,1,6,2,5,3] => [1,4,2,3,6,5] => [3,6,1,2,5,4] => ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 1
[4,1,6,3,2,5] => [1,4,3,6,5,2] => [3,1,2,5,4,6] => ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 2
[4,1,6,3,5,2] => [1,4,3,6,2,5] => [3,1,2,5,6,4] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 1
[4,1,6,5,2,3] => [1,4,5,2,3,6] => [3,4,6,1,2,5] => ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 2
[4,1,6,5,3,2] => [1,4,5,3,6,2] => [3,4,1,2,5,6] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 2
[4,2,1,3,5,6] => [1,4,3,2,5,6] => [3,1,2,6,4,5] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 1
[4,2,1,3,6,5] => [1,4,3,2,5,6] => [3,1,2,6,4,5] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 1
[4,2,1,5,3,6] => [1,4,5,3,2,6] => [3,4,1,2,6,5] => ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => 2
[4,2,1,5,6,3] => [1,4,5,6,3,2] => [3,4,5,1,2,6] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[4,2,1,6,3,5] => [1,4,6,5,3,2] => [3,5,1,4,2,6] => ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6) => 1
[4,2,1,6,5,3] => [1,4,6,3,2,5] => [3,5,1,2,6,4] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => 1
[4,2,3,1,5,6] => [1,4,2,3,5,6] => [3,6,1,2,4,5] => ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 1
[4,2,3,1,6,5] => [1,4,2,3,5,6] => [3,6,1,2,4,5] => ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 1
[4,2,3,5,1,6] => [1,4,5,2,3,6] => [3,4,6,1,2,5] => ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 2
[4,2,3,6,1,5] => [1,4,6,5,2,3] => [3,5,1,4,6,2] => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 0
[4,2,3,6,5,1] => [1,4,6,2,3,5] => [3,5,6,1,2,4] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 1
[4,2,5,1,3,6] => [1,4,2,3,5,6] => [3,6,1,2,4,5] => ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 1
[4,2,5,1,6,3] => [1,4,2,3,5,6] => [3,6,1,2,4,5] => ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 1
[4,2,5,3,1,6] => [1,4,3,5,2,6] => [3,1,2,4,6,5] => ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 1
[4,2,5,3,6,1] => [1,4,3,5,6,2] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
[4,2,5,6,1,3] => [1,4,6,3,5,2] => [3,5,1,2,4,6] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => 1
[4,2,5,6,3,1] => [1,4,6,2,3,5] => [3,5,6,1,2,4] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 1
[4,2,6,1,3,5] => [1,4,2,3,6,5] => [3,6,1,2,5,4] => ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 1
[4,2,6,1,5,3] => [1,4,2,3,6,5] => [3,6,1,2,5,4] => ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 1
[4,2,6,3,1,5] => [1,4,3,6,5,2] => [3,1,2,5,4,6] => ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 2
[4,2,6,3,5,1] => [1,4,3,6,2,5] => [3,1,2,5,6,4] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 1
[4,2,6,5,1,3] => [1,4,5,2,3,6] => [3,4,6,1,2,5] => ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 2
[4,2,6,5,3,1] => [1,4,5,3,6,2] => [3,4,1,2,5,6] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 2
[4,3,1,2,5,6] => [1,4,2,3,5,6] => [3,6,1,2,4,5] => ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 1
[4,3,1,2,6,5] => [1,4,2,3,5,6] => [3,6,1,2,4,5] => ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 1
[4,3,1,5,2,6] => [1,4,5,2,3,6] => [3,4,6,1,2,5] => ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 2
[4,3,1,6,2,5] => [1,4,6,5,2,3] => [3,5,1,4,6,2] => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 0
[4,3,1,6,5,2] => [1,4,6,2,3,5] => [3,5,6,1,2,4] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 1
[4,3,2,1,5,6] => [1,4,2,3,5,6] => [3,6,1,2,4,5] => ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 1
[4,3,2,1,6,5] => [1,4,2,3,5,6] => [3,6,1,2,4,5] => ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 1
[4,3,2,5,1,6] => [1,4,5,2,3,6] => [3,4,6,1,2,5] => ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 2
[4,3,2,6,1,5] => [1,4,6,5,2,3] => [3,5,1,4,6,2] => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 0
[4,3,2,6,5,1] => [1,4,6,2,3,5] => [3,5,6,1,2,4] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 1
[4,3,5,1,2,6] => [1,4,2,3,5,6] => [3,6,1,2,4,5] => ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 1
[4,3,5,1,6,2] => [1,4,2,3,5,6] => [3,6,1,2,4,5] => ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 1
[4,3,5,2,1,6] => [1,4,2,3,5,6] => [3,6,1,2,4,5] => ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 1
[4,3,5,2,6,1] => [1,4,2,3,5,6] => [3,6,1,2,4,5] => ([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => 1
[4,3,5,6,1,2] => [1,4,6,2,3,5] => [3,5,6,1,2,4] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 1
[4,3,5,6,2,1] => [1,4,6,2,3,5] => [3,5,6,1,2,4] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => 1
[4,3,6,1,2,5] => [1,4,2,3,6,5] => [3,6,1,2,5,4] => ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 1
[4,3,6,1,5,2] => [1,4,2,3,6,5] => [3,6,1,2,5,4] => ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 1
[4,3,6,2,1,5] => [1,4,2,3,6,5] => [3,6,1,2,5,4] => ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 1
[4,3,6,2,5,1] => [1,4,2,3,6,5] => [3,6,1,2,5,4] => ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6) => 1
[4,3,6,5,1,2] => [1,4,5,2,3,6] => [3,4,6,1,2,5] => ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 2
[4,3,6,5,2,1] => [1,4,5,2,3,6] => [3,4,6,1,2,5] => ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 2
[4,5,1,2,3,6] => [1,4,2,5,3,6] => [3,6,1,4,2,5] => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 0
[4,5,1,2,6,3] => [1,4,2,5,6,3] => [3,6,1,4,5,2] => ([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => 0
[4,5,1,3,2,6] => [1,4,3,2,5,6] => [3,1,2,6,4,5] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 1
[4,5,1,3,6,2] => [1,4,3,2,5,6] => [3,1,2,6,4,5] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 1
[4,5,1,6,2,3] => [1,4,6,3,2,5] => [3,5,1,2,6,4] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => 1
[4,5,1,6,3,2] => [1,4,6,2,5,3] => [3,5,6,1,4,2] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 0
[4,5,2,1,3,6] => [1,4,2,5,3,6] => [3,6,1,4,2,5] => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 0
[4,5,2,1,6,3] => [1,4,2,5,6,3] => [3,6,1,4,5,2] => ([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => 0
[4,5,2,3,1,6] => [1,4,3,2,5,6] => [3,1,2,6,4,5] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 1
[4,5,2,3,6,1] => [1,4,3,2,5,6] => [3,1,2,6,4,5] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 1
[4,5,2,6,1,3] => [1,4,6,3,2,5] => [3,5,1,2,6,4] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => 1
[4,5,2,6,3,1] => [1,4,6,2,5,3] => [3,5,6,1,4,2] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 0
[4,5,3,1,2,6] => [1,4,2,5,3,6] => [3,6,1,4,2,5] => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 0
[4,5,3,1,6,2] => [1,4,2,5,6,3] => [3,6,1,4,5,2] => ([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => 0
[4,5,3,2,1,6] => [1,4,2,5,3,6] => [3,6,1,4,2,5] => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 0
[4,5,3,2,6,1] => [1,4,2,5,6,3] => [3,6,1,4,5,2] => ([(0,4),(0,5),(1,3),(1,5),(5,2)],6) => 0
[4,5,3,6,1,2] => [1,4,6,2,5,3] => [3,5,6,1,4,2] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 0
[4,5,3,6,2,1] => [1,4,6,2,5,3] => [3,5,6,1,4,2] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 0
[4,5,6,1,2,3] => [1,4,2,5,3,6] => [3,6,1,4,2,5] => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 0
[4,5,6,1,3,2] => [1,4,2,5,3,6] => [3,6,1,4,2,5] => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 0
[4,5,6,2,1,3] => [1,4,2,5,3,6] => [3,6,1,4,2,5] => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 0
[4,5,6,2,3,1] => [1,4,2,5,3,6] => [3,6,1,4,2,5] => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6) => 0
[4,5,6,3,1,2] => [1,4,3,6,2,5] => [3,1,2,5,6,4] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 1
[4,5,6,3,2,1] => [1,4,3,6,2,5] => [3,1,2,5,6,4] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 1
[4,6,1,2,3,5] => [1,4,2,6,5,3] => [3,6,1,5,4,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 0
[4,6,1,2,5,3] => [1,4,2,6,3,5] => [3,6,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 0
[4,6,1,3,2,5] => [1,4,3,2,6,5] => [3,1,2,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 1
[4,6,1,3,5,2] => [1,4,3,2,6,5] => [3,1,2,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 1
[4,6,1,5,2,3] => [1,4,5,2,6,3] => [3,4,6,1,5,2] => ([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 1
[4,6,1,5,3,2] => [1,4,5,3,2,6] => [3,4,1,2,6,5] => ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => 2
[4,6,2,1,3,5] => [1,4,2,6,5,3] => [3,6,1,5,4,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 0
[4,6,2,1,5,3] => [1,4,2,6,3,5] => [3,6,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 0
[4,6,2,3,1,5] => [1,4,3,2,6,5] => [3,1,2,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 1
[4,6,2,3,5,1] => [1,4,3,2,6,5] => [3,1,2,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 1
[4,6,2,5,1,3] => [1,4,5,2,6,3] => [3,4,6,1,5,2] => ([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 1
[4,6,2,5,3,1] => [1,4,5,3,2,6] => [3,4,1,2,6,5] => ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => 2
[4,6,3,1,2,5] => [1,4,2,6,5,3] => [3,6,1,5,4,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 0
[4,6,3,1,5,2] => [1,4,2,6,3,5] => [3,6,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 0
[4,6,3,2,1,5] => [1,4,2,6,5,3] => [3,6,1,5,4,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6) => 0
[4,6,3,2,5,1] => [1,4,2,6,3,5] => [3,6,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 0
[4,6,3,5,1,2] => [1,4,5,2,6,3] => [3,4,6,1,5,2] => ([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 1
[4,6,3,5,2,1] => [1,4,5,2,6,3] => [3,4,6,1,5,2] => ([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 1
[4,6,5,1,2,3] => [1,4,2,6,3,5] => [3,6,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 0
[4,6,5,1,3,2] => [1,4,2,6,3,5] => [3,6,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 0
[4,6,5,2,1,3] => [1,4,2,6,3,5] => [3,6,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 0
[4,6,5,2,3,1] => [1,4,2,6,3,5] => [3,6,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6) => 0
[4,6,5,3,1,2] => [1,4,3,5,2,6] => [3,1,2,4,6,5] => ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 1
[4,6,5,3,2,1] => [1,4,3,5,2,6] => [3,1,2,4,6,5] => ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 1
[5,1,2,3,4,6] => [1,5,4,3,2,6] => [4,1,3,2,6,5] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
[5,1,2,3,6,4] => [1,5,6,4,3,2] => [4,5,1,3,2,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 3
[5,1,2,4,3,6] => [1,5,3,2,4,6] => [4,1,2,6,3,5] => ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 1
[5,1,2,4,6,3] => [1,5,6,3,2,4] => [4,5,1,2,6,3] => ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 2
[5,1,2,6,3,4] => [1,5,3,2,4,6] => [4,1,2,6,3,5] => ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 1
[5,1,2,6,4,3] => [1,5,4,6,3,2] => [4,1,3,5,2,6] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 1
[5,1,3,2,4,6] => [1,5,4,2,3,6] => [4,1,3,6,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 1
[5,1,3,2,6,4] => [1,5,6,4,2,3] => [4,5,1,3,6,2] => ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 2
[5,1,3,4,2,6] => [1,5,2,3,4,6] => [4,6,1,2,3,5] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 1
[5,1,3,6,2,4] => [1,5,2,3,4,6] => [4,6,1,2,3,5] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 1
[5,1,3,6,4,2] => [1,5,4,6,2,3] => [4,1,3,5,6,2] => ([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => 1
[5,1,4,2,3,6] => [1,5,3,4,2,6] => [4,1,2,3,6,5] => ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 1
[5,1,4,2,6,3] => [1,5,6,3,4,2] => [4,5,1,2,3,6] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[5,1,4,3,2,6] => [1,5,2,3,4,6] => [4,6,1,2,3,5] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 1
[5,1,4,6,2,3] => [1,5,2,3,4,6] => [4,6,1,2,3,5] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 1
[5,1,4,6,3,2] => [1,5,3,4,6,2] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
[5,1,6,2,3,4] => [1,5,3,6,4,2] => [4,1,2,5,3,6] => ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => 2
[5,1,6,2,4,3] => [1,5,4,2,3,6] => [4,1,3,6,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 1
[5,1,6,3,2,4] => [1,5,2,3,6,4] => [4,6,1,2,5,3] => ([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 1
[5,1,6,3,4,2] => [1,5,4,3,6,2] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 2
[5,1,6,4,2,3] => [1,5,2,3,6,4] => [4,6,1,2,5,3] => ([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 1
[5,1,6,4,3,2] => [1,5,3,6,2,4] => [4,1,2,5,6,3] => ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 1
[5,2,1,3,4,6] => [1,5,4,3,2,6] => [4,1,3,2,6,5] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
[5,2,1,3,6,4] => [1,5,6,4,3,2] => [4,5,1,3,2,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 3
[5,2,1,4,3,6] => [1,5,3,2,4,6] => [4,1,2,6,3,5] => ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 1
[5,2,1,4,6,3] => [1,5,6,3,2,4] => [4,5,1,2,6,3] => ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 2
[5,2,1,6,3,4] => [1,5,3,2,4,6] => [4,1,2,6,3,5] => ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 1
[5,2,1,6,4,3] => [1,5,4,6,3,2] => [4,1,3,5,2,6] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => 1
[5,2,3,1,4,6] => [1,5,4,2,3,6] => [4,1,3,6,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 1
[5,2,3,1,6,4] => [1,5,6,4,2,3] => [4,5,1,3,6,2] => ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 2
[5,2,3,4,1,6] => [1,5,2,3,4,6] => [4,6,1,2,3,5] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 1
[5,2,3,6,1,4] => [1,5,2,3,4,6] => [4,6,1,2,3,5] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 1
[5,2,3,6,4,1] => [1,5,4,6,2,3] => [4,1,3,5,6,2] => ([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => 1
[5,2,4,1,3,6] => [1,5,3,4,2,6] => [4,1,2,3,6,5] => ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 1
[5,2,4,1,6,3] => [1,5,6,3,4,2] => [4,5,1,2,3,6] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[5,2,4,3,1,6] => [1,5,2,3,4,6] => [4,6,1,2,3,5] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 1
[5,2,4,6,1,3] => [1,5,2,3,4,6] => [4,6,1,2,3,5] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 1
[5,2,4,6,3,1] => [1,5,3,4,6,2] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
[5,2,6,1,3,4] => [1,5,3,6,4,2] => [4,1,2,5,3,6] => ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => 2
[5,2,6,1,4,3] => [1,5,4,2,3,6] => [4,1,3,6,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 1
[5,2,6,3,1,4] => [1,5,2,3,6,4] => [4,6,1,2,5,3] => ([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 1
[5,2,6,3,4,1] => [1,5,4,3,6,2] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 2
[5,2,6,4,1,3] => [1,5,2,3,6,4] => [4,6,1,2,5,3] => ([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 1
[5,2,6,4,3,1] => [1,5,3,6,2,4] => [4,1,2,5,6,3] => ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 1
[5,3,1,2,4,6] => [1,5,4,2,3,6] => [4,1,3,6,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 1
[5,3,1,2,6,4] => [1,5,6,4,2,3] => [4,5,1,3,6,2] => ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 2
[5,3,1,4,2,6] => [1,5,2,3,4,6] => [4,6,1,2,3,5] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 1
[5,3,1,6,2,4] => [1,5,2,3,4,6] => [4,6,1,2,3,5] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 1
[5,3,1,6,4,2] => [1,5,4,6,2,3] => [4,1,3,5,6,2] => ([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => 1
[5,3,2,1,4,6] => [1,5,4,2,3,6] => [4,1,3,6,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 1
[5,3,2,1,6,4] => [1,5,6,4,2,3] => [4,5,1,3,6,2] => ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => 2
[5,3,2,4,1,6] => [1,5,2,3,4,6] => [4,6,1,2,3,5] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 1
[5,3,2,6,1,4] => [1,5,2,3,4,6] => [4,6,1,2,3,5] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 1
[5,3,2,6,4,1] => [1,5,4,6,2,3] => [4,1,3,5,6,2] => ([(0,5),(1,2),(1,3),(3,5),(5,4)],6) => 1
[5,3,4,1,2,6] => [1,5,2,3,4,6] => [4,6,1,2,3,5] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 1
[5,3,4,2,1,6] => [1,5,2,3,4,6] => [4,6,1,2,3,5] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 1
[5,3,4,6,1,2] => [1,5,2,3,4,6] => [4,6,1,2,3,5] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 1
[5,3,4,6,2,1] => [1,5,2,3,4,6] => [4,6,1,2,3,5] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => 1
[5,3,6,1,2,4] => [1,5,2,3,6,4] => [4,6,1,2,5,3] => ([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 1
[5,3,6,1,4,2] => [1,5,4,2,3,6] => [4,1,3,6,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 1
[5,3,6,2,1,4] => [1,5,2,3,6,4] => [4,6,1,2,5,3] => ([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 1
[5,3,6,2,4,1] => [1,5,4,2,3,6] => [4,1,3,6,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 1
[5,3,6,4,1,2] => [1,5,2,3,6,4] => [4,6,1,2,5,3] => ([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 1
[5,3,6,4,2,1] => [1,5,2,3,6,4] => [4,6,1,2,5,3] => ([(0,4),(1,3),(1,5),(4,2),(4,5)],6) => 1
[5,4,1,2,3,6] => [1,5,3,2,4,6] => [4,1,2,6,3,5] => ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 1
[5,4,1,2,6,3] => [1,5,6,3,2,4] => [4,5,1,2,6,3] => ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 2
[5,4,1,3,2,6] => [1,5,2,4,3,6] => [4,6,1,3,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 2
[5,4,1,6,2,3] => [1,5,2,4,6,3] => [4,6,1,3,5,2] => ([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 1
[5,4,1,6,3,2] => [1,5,3,2,4,6] => [4,1,2,6,3,5] => ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 1
[5,4,2,1,3,6] => [1,5,3,2,4,6] => [4,1,2,6,3,5] => ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 1
[5,4,2,1,6,3] => [1,5,6,3,2,4] => [4,5,1,2,6,3] => ([(0,3),(1,4),(3,5),(4,2),(4,5)],6) => 2
[5,4,2,3,1,6] => [1,5,2,4,3,6] => [4,6,1,3,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 2
[5,4,2,6,1,3] => [1,5,2,4,6,3] => [4,6,1,3,5,2] => ([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 1
[5,4,2,6,3,1] => [1,5,3,2,4,6] => [4,1,2,6,3,5] => ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6) => 1
[5,4,3,1,2,6] => [1,5,2,4,3,6] => [4,6,1,3,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 2
[5,4,3,2,1,6] => [1,5,2,4,3,6] => [4,6,1,3,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 2
[5,4,3,6,1,2] => [1,5,2,4,6,3] => [4,6,1,3,5,2] => ([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 1
[5,4,3,6,2,1] => [1,5,2,4,6,3] => [4,6,1,3,5,2] => ([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => 1
[5,4,6,1,2,3] => [1,5,2,4,3,6] => [4,6,1,3,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 2
[5,4,6,1,3,2] => [1,5,3,6,2,4] => [4,1,2,5,6,3] => ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 1
[5,4,6,2,1,3] => [1,5,2,4,3,6] => [4,6,1,3,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 2
[5,4,6,2,3,1] => [1,5,3,6,2,4] => [4,1,2,5,6,3] => ([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => 1
[5,4,6,3,1,2] => [1,5,2,4,3,6] => [4,6,1,3,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 2
[5,4,6,3,2,1] => [1,5,2,4,3,6] => [4,6,1,3,2,5] => ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6) => 2
[5,6,1,2,3,4] => [1,5,3,2,6,4] => [4,1,2,6,5,3] => ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 1
[5,6,1,2,4,3] => [1,5,4,2,6,3] => [4,1,3,6,5,2] => ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 1
[5,6,1,3,2,4] => [1,5,2,6,4,3] => [4,6,1,5,3,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => 0
[5,6,1,3,4,2] => [1,5,4,3,2,6] => [4,1,3,2,6,5] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
[5,6,1,4,2,3] => [1,5,2,6,3,4] => [4,6,1,5,2,3] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 0
[5,6,1,4,3,2] => [1,5,3,2,6,4] => [4,1,2,6,5,3] => ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 1
[5,6,2,1,3,4] => [1,5,3,2,6,4] => [4,1,2,6,5,3] => ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 1
[5,6,2,1,4,3] => [1,5,4,2,6,3] => [4,1,3,6,5,2] => ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 1
[5,6,2,3,1,4] => [1,5,2,6,4,3] => [4,6,1,5,3,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => 0
[5,6,2,3,4,1] => [1,5,4,3,2,6] => [4,1,3,2,6,5] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
[5,6,2,4,1,3] => [1,5,2,6,3,4] => [4,6,1,5,2,3] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 0
[5,6,2,4,3,1] => [1,5,3,2,6,4] => [4,1,2,6,5,3] => ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6) => 1
[5,6,3,1,2,4] => [1,5,2,6,4,3] => [4,6,1,5,3,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => 0
[5,6,3,1,4,2] => [1,5,4,2,6,3] => [4,1,3,6,5,2] => ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 1
[5,6,3,2,1,4] => [1,5,2,6,4,3] => [4,6,1,5,3,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5)],6) => 0
[5,6,3,2,4,1] => [1,5,4,2,6,3] => [4,1,3,6,5,2] => ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6) => 1
[5,6,3,4,1,2] => [1,5,2,6,3,4] => [4,6,1,5,2,3] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 0
[5,6,3,4,2,1] => [1,5,2,6,3,4] => [4,6,1,5,2,3] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 0
[5,6,4,1,2,3] => [1,5,2,6,3,4] => [4,6,1,5,2,3] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 0
[5,6,4,1,3,2] => [1,5,3,4,2,6] => [4,1,2,3,6,5] => ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 1
[5,6,4,2,1,3] => [1,5,2,6,3,4] => [4,6,1,5,2,3] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 0
[5,6,4,2,3,1] => [1,5,3,4,2,6] => [4,1,2,3,6,5] => ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 1
[5,6,4,3,1,2] => [1,5,2,6,3,4] => [4,6,1,5,2,3] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 0
[5,6,4,3,2,1] => [1,5,2,6,3,4] => [4,6,1,5,2,3] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => 0
[6,1,2,3,4,5] => [1,6,5,4,3,2] => [5,1,4,3,2,6] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 0
[6,1,2,3,5,4] => [1,6,4,3,2,5] => [5,1,3,2,6,4] => ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
[6,1,2,4,3,5] => [1,6,5,3,2,4] => [5,1,4,2,6,3] => ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 2
[6,1,2,4,5,3] => [1,6,3,2,4,5] => [5,1,2,6,3,4] => ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 1
[6,1,2,5,3,4] => [1,6,4,5,3,2] => [5,1,3,4,2,6] => ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[6,1,2,5,4,3] => [1,6,3,2,4,5] => [5,1,2,6,3,4] => ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 1
[6,1,3,2,4,5] => [1,6,5,4,2,3] => [5,1,4,3,6,2] => ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 0
[6,1,3,2,5,4] => [1,6,4,2,3,5] => [5,1,3,6,2,4] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 1
[6,1,3,4,2,5] => [1,6,5,2,3,4] => [5,1,4,6,2,3] => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 1
[6,1,3,5,2,4] => [1,6,4,5,2,3] => [5,1,3,4,6,2] => ([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => 1
[6,1,4,2,3,5] => [1,6,5,3,4,2] => [5,1,4,2,3,6] => ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[6,1,4,2,5,3] => [1,6,3,4,2,5] => [5,1,2,3,6,4] => ([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 1
[6,1,4,3,2,5] => [1,6,5,2,3,4] => [5,1,4,6,2,3] => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 1
[6,1,4,5,2,3] => [1,6,3,4,5,2] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 1
[6,1,5,2,3,4] => [1,6,4,2,3,5] => [5,1,3,6,2,4] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 1
[6,1,5,2,4,3] => [1,6,3,5,4,2] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 2
[6,1,5,3,2,4] => [1,6,4,3,5,2] => [5,1,3,2,4,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 2
[6,1,5,4,2,3] => [1,6,3,5,2,4] => [5,1,2,4,6,3] => ([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => 1
[6,2,1,3,4,5] => [1,6,5,4,3,2] => [5,1,4,3,2,6] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 0
[6,2,1,3,5,4] => [1,6,4,3,2,5] => [5,1,3,2,6,4] => ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
[6,2,1,4,3,5] => [1,6,5,3,2,4] => [5,1,4,2,6,3] => ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 2
[6,2,1,4,5,3] => [1,6,3,2,4,5] => [5,1,2,6,3,4] => ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 1
[6,2,1,5,3,4] => [1,6,4,5,3,2] => [5,1,3,4,2,6] => ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[6,2,1,5,4,3] => [1,6,3,2,4,5] => [5,1,2,6,3,4] => ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 1
[6,2,3,1,4,5] => [1,6,5,4,2,3] => [5,1,4,3,6,2] => ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 0
[6,2,3,1,5,4] => [1,6,4,2,3,5] => [5,1,3,6,2,4] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 1
[6,2,3,4,1,5] => [1,6,5,2,3,4] => [5,1,4,6,2,3] => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 1
[6,2,3,5,1,4] => [1,6,4,5,2,3] => [5,1,3,4,6,2] => ([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => 1
[6,2,4,1,3,5] => [1,6,5,3,4,2] => [5,1,4,2,3,6] => ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 2
[6,2,4,1,5,3] => [1,6,3,4,2,5] => [5,1,2,3,6,4] => ([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 1
[6,2,4,3,1,5] => [1,6,5,2,3,4] => [5,1,4,6,2,3] => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 1
[6,2,4,5,1,3] => [1,6,3,4,5,2] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 1
[6,2,5,1,3,4] => [1,6,4,2,3,5] => [5,1,3,6,2,4] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 1
[6,2,5,1,4,3] => [1,6,3,5,4,2] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 2
[6,2,5,3,1,4] => [1,6,4,3,5,2] => [5,1,3,2,4,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 2
[6,2,5,4,1,3] => [1,6,3,5,2,4] => [5,1,2,4,6,3] => ([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => 1
[6,3,1,2,4,5] => [1,6,5,4,2,3] => [5,1,4,3,6,2] => ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 0
[6,3,1,2,5,4] => [1,6,4,2,3,5] => [5,1,3,6,2,4] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 1
[6,3,1,4,2,5] => [1,6,5,2,3,4] => [5,1,4,6,2,3] => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 1
[6,3,1,5,2,4] => [1,6,4,5,2,3] => [5,1,3,4,6,2] => ([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => 1
[6,3,2,1,4,5] => [1,6,5,4,2,3] => [5,1,4,3,6,2] => ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 0
[6,3,2,1,5,4] => [1,6,4,2,3,5] => [5,1,3,6,2,4] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 1
[6,3,2,4,1,5] => [1,6,5,2,3,4] => [5,1,4,6,2,3] => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 1
[6,3,2,5,1,4] => [1,6,4,5,2,3] => [5,1,3,4,6,2] => ([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => 1
[6,3,4,1,2,5] => [1,6,5,2,3,4] => [5,1,4,6,2,3] => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 1
[6,3,4,2,1,5] => [1,6,5,2,3,4] => [5,1,4,6,2,3] => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => 1
[6,3,5,1,2,4] => [1,6,4,2,3,5] => [5,1,3,6,2,4] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 1
[6,3,5,2,1,4] => [1,6,4,2,3,5] => [5,1,3,6,2,4] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => 1
[6,4,1,2,3,5] => [1,6,5,3,2,4] => [5,1,4,2,6,3] => ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 2
[6,4,1,2,5,3] => [1,6,3,2,4,5] => [5,1,2,6,3,4] => ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 1
[6,4,1,3,2,5] => [1,6,5,2,4,3] => [5,1,4,6,3,2] => ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 0
[6,4,1,5,2,3] => [1,6,3,2,4,5] => [5,1,2,6,3,4] => ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 1
[6,4,2,1,3,5] => [1,6,5,3,2,4] => [5,1,4,2,6,3] => ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6) => 2
[6,4,2,1,5,3] => [1,6,3,2,4,5] => [5,1,2,6,3,4] => ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 1
[6,4,2,3,1,5] => [1,6,5,2,4,3] => [5,1,4,6,3,2] => ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 0
[6,4,2,5,1,3] => [1,6,3,2,4,5] => [5,1,2,6,3,4] => ([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => 1
[6,4,3,1,2,5] => [1,6,5,2,4,3] => [5,1,4,6,3,2] => ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 0
[6,4,3,2,1,5] => [1,6,5,2,4,3] => [5,1,4,6,3,2] => ([(0,5),(1,2),(1,3),(1,4),(4,5)],6) => 0
[6,4,5,1,2,3] => [1,6,3,5,2,4] => [5,1,2,4,6,3] => ([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => 1
[6,4,5,2,1,3] => [1,6,3,5,2,4] => [5,1,2,4,6,3] => ([(0,5),(1,4),(3,5),(4,2),(4,3)],6) => 1
[6,5,1,2,3,4] => [1,6,4,2,5,3] => [5,1,3,6,4,2] => ([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => 1
[6,5,1,2,4,3] => [1,6,3,2,5,4] => [5,1,2,6,4,3] => ([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => 1
[6,5,1,3,2,4] => [1,6,4,3,2,5] => [5,1,3,2,6,4] => ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
[6,5,1,4,2,3] => [1,6,3,2,5,4] => [5,1,2,6,4,3] => ([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => 1
[6,5,2,1,3,4] => [1,6,4,2,5,3] => [5,1,3,6,4,2] => ([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => 1
[6,5,2,1,4,3] => [1,6,3,2,5,4] => [5,1,2,6,4,3] => ([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => 1
[6,5,2,3,1,4] => [1,6,4,3,2,5] => [5,1,3,2,6,4] => ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
[6,5,2,4,1,3] => [1,6,3,2,5,4] => [5,1,2,6,4,3] => ([(0,5),(1,4),(4,2),(4,3),(4,5)],6) => 1
[6,5,3,1,2,4] => [1,6,4,2,5,3] => [5,1,3,6,4,2] => ([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => 1
[6,5,3,2,1,4] => [1,6,4,2,5,3] => [5,1,3,6,4,2] => ([(0,5),(1,3),(1,4),(4,2),(4,5)],6) => 1
[6,5,4,1,2,3] => [1,6,3,4,2,5] => [5,1,2,3,6,4] => ([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 1
[6,5,4,2,1,3] => [1,6,3,4,2,5] => [5,1,2,3,6,4] => ([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => 1
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Description
The number of indecomposable injective modules $I$ with $dim Ext^1(I,A)=1$ for the incidence algebra A of a poset.
Map
toric promotion
Description
Toric promotion of a permutation.
Let $\sigma\in\mathfrak S_n$ be a permutation and let
$ \tau_{i, j}(\sigma) = \begin{cases} \sigma & \text{if $|\sigma^{-1}(i) - \sigma^{-1}(j)| = 1$}\\ (i, j)\circ\sigma & \text{otherwise}. \end{cases} $
The toric promotion operator is the product $\tau_{n,1}\tau_{n-1,n}\dots\tau_{1,2}$.
This is the special case of toric promotion on graphs for the path graph. Its order is $n-1$.
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
permutation poset
Description
Sends a permutation to its permutation poset.
For a permutation $\pi$ of length $n$, this poset has vertices
$$\{ (i,\pi(i))\ :\ 1 \leq i \leq n \}$$
and the cover relation is given by $(w, x) \leq (y, z)$ if $w \leq y$ and $x \leq z$.
For example, the permutation $[3,1,5,4,2]$ is mapped to the poset with cover relations
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$