Identifier
Values
[1] => [1] => [1] => ([],1) => 0
[1,2] => [2,1] => [2,1] => ([(0,1)],2) => 0
[2,1] => [1,2] => [1,2] => ([(0,1)],2) => 0
[1,2,3] => [3,2,1] => [3,2,1] => ([(0,2),(2,1)],3) => 0
[1,3,2] => [2,3,1] => [3,2,1] => ([(0,2),(2,1)],3) => 0
[2,1,3] => [3,1,2] => [3,2,1] => ([(0,2),(2,1)],3) => 0
[2,3,1] => [1,3,2] => [1,3,2] => ([(0,1),(0,2),(1,3),(2,3)],4) => 0
[3,1,2] => [2,1,3] => [2,1,3] => ([(0,1),(0,2),(1,3),(2,3)],4) => 0
[3,2,1] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3) => 0
[1,2,3,4] => [4,3,2,1] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 0
[1,2,4,3] => [3,4,2,1] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 0
[1,3,2,4] => [4,2,3,1] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 0
[1,3,4,2] => [2,4,3,1] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 0
[2,1,3,4] => [4,3,1,2] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 0
[2,1,4,3] => [3,4,1,2] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 0
[3,1,2,4] => [4,2,1,3] => [4,3,2,1] => ([(0,3),(2,1),(3,2)],4) => 0
[4,3,2,1] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 0
[1,2,3,4,5] => [5,4,3,2,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[1,2,3,5,4] => [4,5,3,2,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[1,2,4,3,5] => [5,3,4,2,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[1,2,4,5,3] => [3,5,4,2,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[1,2,5,3,4] => [4,3,5,2,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[1,2,5,4,3] => [3,4,5,2,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[1,3,2,4,5] => [5,4,2,3,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[1,3,2,5,4] => [4,5,2,3,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[1,3,4,2,5] => [5,2,4,3,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[1,3,4,5,2] => [2,5,4,3,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[1,3,5,2,4] => [4,2,5,3,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[1,3,5,4,2] => [2,4,5,3,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[1,4,2,3,5] => [5,3,2,4,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[1,4,2,5,3] => [3,5,2,4,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[1,4,3,2,5] => [5,2,3,4,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[1,4,3,5,2] => [2,5,3,4,1] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[2,1,3,4,5] => [5,4,3,1,2] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[2,1,3,5,4] => [4,5,3,1,2] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[2,1,4,3,5] => [5,3,4,1,2] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[2,1,4,5,3] => [3,5,4,1,2] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[2,1,5,3,4] => [4,3,5,1,2] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[2,1,5,4,3] => [3,4,5,1,2] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[2,3,1,4,5] => [5,4,1,3,2] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[2,3,1,5,4] => [4,5,1,3,2] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[2,4,1,3,5] => [5,3,1,4,2] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[2,4,1,5,3] => [3,5,1,4,2] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[3,1,2,4,5] => [5,4,2,1,3] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[3,1,2,5,4] => [4,5,2,1,3] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[3,1,4,2,5] => [5,2,4,1,3] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[3,1,5,2,4] => [4,2,5,1,3] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[3,2,1,4,5] => [5,4,1,2,3] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[3,2,1,5,4] => [4,5,1,2,3] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[4,1,2,3,5] => [5,3,2,1,4] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[4,1,3,2,5] => [5,2,3,1,4] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[4,2,1,3,5] => [5,3,1,2,4] => [5,4,3,2,1] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[5,4,3,2,1] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 0
[1,2,3,4,5,6] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,2,3,4,6,5] => [5,6,4,3,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,2,3,5,4,6] => [6,4,5,3,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,2,3,5,6,4] => [4,6,5,3,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,2,3,6,4,5] => [5,4,6,3,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,2,3,6,5,4] => [4,5,6,3,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,2,4,3,5,6] => [6,5,3,4,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,2,4,3,6,5] => [5,6,3,4,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,2,4,5,3,6] => [6,3,5,4,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,2,4,5,6,3] => [3,6,5,4,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,2,4,6,3,5] => [5,3,6,4,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,2,4,6,5,3] => [3,5,6,4,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,2,5,3,4,6] => [6,4,3,5,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,2,5,3,6,4] => [4,6,3,5,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,2,5,4,3,6] => [6,3,4,5,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,2,5,4,6,3] => [3,6,4,5,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,2,5,6,3,4] => [4,3,6,5,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,2,5,6,4,3] => [3,4,6,5,2,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,3,2,4,5,6] => [6,5,4,2,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,3,2,4,6,5] => [5,6,4,2,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,3,2,5,4,6] => [6,4,5,2,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,3,2,5,6,4] => [4,6,5,2,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,3,2,6,4,5] => [5,4,6,2,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,3,2,6,5,4] => [4,5,6,2,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,3,4,2,5,6] => [6,5,2,4,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,3,4,2,6,5] => [5,6,2,4,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,3,4,5,2,6] => [6,2,5,4,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,3,4,5,6,2] => [2,6,5,4,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,3,4,6,2,5] => [5,2,6,4,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,3,4,6,5,2] => [2,5,6,4,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,3,5,2,4,6] => [6,4,2,5,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,3,5,2,6,4] => [4,6,2,5,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,3,5,4,2,6] => [6,2,4,5,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,3,5,4,6,2] => [2,6,4,5,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,3,5,6,2,4] => [4,2,6,5,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,3,5,6,4,2] => [2,4,6,5,3,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,4,2,3,5,6] => [6,5,3,2,4,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,4,2,3,6,5] => [5,6,3,2,4,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,4,2,5,3,6] => [6,3,5,2,4,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,4,2,5,6,3] => [3,6,5,2,4,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,4,2,6,3,5] => [5,3,6,2,4,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,4,2,6,5,3] => [3,5,6,2,4,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,4,3,2,5,6] => [6,5,2,3,4,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,4,3,2,6,5] => [5,6,2,3,4,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,4,3,5,2,6] => [6,2,5,3,4,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,4,3,5,6,2] => [2,6,5,3,4,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,4,3,6,2,5] => [5,2,6,3,4,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,4,3,6,5,2] => [2,5,6,3,4,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
>>> Load all 189 entries. <<<
[1,5,2,3,4,6] => [6,4,3,2,5,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,5,2,3,6,4] => [4,6,3,2,5,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,5,2,4,3,6] => [6,3,4,2,5,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,5,2,4,6,3] => [3,6,4,2,5,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,5,3,2,4,6] => [6,4,2,3,5,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,5,3,2,6,4] => [4,6,2,3,5,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,5,3,4,2,6] => [6,2,4,3,5,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[1,5,3,4,6,2] => [2,6,4,3,5,1] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,1,3,4,5,6] => [6,5,4,3,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,1,3,4,6,5] => [5,6,4,3,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,1,3,5,4,6] => [6,4,5,3,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,1,3,5,6,4] => [4,6,5,3,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,1,3,6,4,5] => [5,4,6,3,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,1,3,6,5,4] => [4,5,6,3,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,1,4,3,5,6] => [6,5,3,4,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,1,4,3,6,5] => [5,6,3,4,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,1,4,5,3,6] => [6,3,5,4,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,1,4,5,6,3] => [3,6,5,4,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,1,4,6,3,5] => [5,3,6,4,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,1,4,6,5,3] => [3,5,6,4,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,1,5,3,4,6] => [6,4,3,5,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,1,5,3,6,4] => [4,6,3,5,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,1,5,4,3,6] => [6,3,4,5,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,1,5,4,6,3] => [3,6,4,5,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,1,5,6,3,4] => [4,3,6,5,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,1,5,6,4,3] => [3,4,6,5,1,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,3,1,4,5,6] => [6,5,4,1,3,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,3,1,4,6,5] => [5,6,4,1,3,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,3,1,5,4,6] => [6,4,5,1,3,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,3,1,5,6,4] => [4,6,5,1,3,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,3,1,6,4,5] => [5,4,6,1,3,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,3,1,6,5,4] => [4,5,6,1,3,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,4,1,3,5,6] => [6,5,3,1,4,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,4,1,3,6,5] => [5,6,3,1,4,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,4,1,5,3,6] => [6,3,5,1,4,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,4,1,5,6,3] => [3,6,5,1,4,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,4,1,6,3,5] => [5,3,6,1,4,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,4,1,6,5,3] => [3,5,6,1,4,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,5,1,3,4,6] => [6,4,3,1,5,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,5,1,3,6,4] => [4,6,3,1,5,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,5,1,4,3,6] => [6,3,4,1,5,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[2,5,1,4,6,3] => [3,6,4,1,5,2] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[3,1,2,4,5,6] => [6,5,4,2,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[3,1,2,4,6,5] => [5,6,4,2,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[3,1,2,5,4,6] => [6,4,5,2,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[3,1,2,5,6,4] => [4,6,5,2,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[3,1,2,6,4,5] => [5,4,6,2,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[3,1,2,6,5,4] => [4,5,6,2,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[3,1,4,2,5,6] => [6,5,2,4,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[3,1,4,2,6,5] => [5,6,2,4,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[3,1,4,5,2,6] => [6,2,5,4,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[3,1,4,6,2,5] => [5,2,6,4,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[3,1,5,2,4,6] => [6,4,2,5,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[3,1,5,2,6,4] => [4,6,2,5,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[3,1,5,4,2,6] => [6,2,4,5,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[3,1,5,6,2,4] => [4,2,6,5,1,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[3,2,1,4,5,6] => [6,5,4,1,2,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[3,2,1,4,6,5] => [5,6,4,1,2,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[3,2,1,5,4,6] => [6,4,5,1,2,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[3,2,1,5,6,4] => [4,6,5,1,2,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[3,2,1,6,4,5] => [5,4,6,1,2,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[3,2,1,6,5,4] => [4,5,6,1,2,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[3,4,1,2,5,6] => [6,5,2,1,4,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[3,4,1,2,6,5] => [5,6,2,1,4,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[3,5,1,2,4,6] => [6,4,2,1,5,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[3,5,1,2,6,4] => [4,6,2,1,5,3] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[4,1,2,3,5,6] => [6,5,3,2,1,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[4,1,2,3,6,5] => [5,6,3,2,1,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[4,1,2,5,3,6] => [6,3,5,2,1,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[4,1,2,6,3,5] => [5,3,6,2,1,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[4,1,3,2,5,6] => [6,5,2,3,1,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[4,1,3,2,6,5] => [5,6,2,3,1,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[4,1,3,5,2,6] => [6,2,5,3,1,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[4,1,3,6,2,5] => [5,2,6,3,1,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[4,2,1,3,5,6] => [6,5,3,1,2,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[4,2,1,3,6,5] => [5,6,3,1,2,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[4,2,1,5,3,6] => [6,3,5,1,2,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[4,2,1,6,3,5] => [5,3,6,1,2,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[4,3,1,2,5,6] => [6,5,2,1,3,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[4,3,1,2,6,5] => [5,6,2,1,3,4] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[5,1,2,3,4,6] => [6,4,3,2,1,5] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[5,1,2,4,3,6] => [6,3,4,2,1,5] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[5,1,3,2,4,6] => [6,4,2,3,1,5] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[5,1,3,4,2,6] => [6,2,4,3,1,5] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[5,2,1,3,4,6] => [6,4,3,1,2,5] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[5,2,1,4,3,6] => [6,3,4,1,2,5] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[5,3,1,2,4,6] => [6,4,2,1,3,5] => [6,5,4,3,2,1] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
[6,5,4,3,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 0
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 interval resolution global dimension of a poset.
This is the cardinality of the longest chain of right minimal approximations by interval modules of an indecomposable module over the incidence algebra.
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
pattern poset
Description
The pattern poset of a permutation.
This is the poset of all non-empty permutations that occur in the given permutation as a pattern, ordered by pattern containment.
Map
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.