Identifier
Values
[1,2] => [1] => [1] => [1] => 1
[2,1] => [1] => [1] => [1] => 1
[1,2,3] => [1,2] => [1,2] => [1,2] => 1
[1,3,2] => [1,2] => [1,2] => [1,2] => 1
[2,1,3] => [2,1] => [2,1] => [-2,1] => 0
[2,3,1] => [2,1] => [2,1] => [-2,1] => 0
[3,1,2] => [1,2] => [1,2] => [1,2] => 1
[3,2,1] => [2,1] => [2,1] => [-2,1] => 0
[1,2,3,4] => [1,2,3] => [1,2,3] => [1,2,3] => 1
[1,2,4,3] => [1,2,3] => [1,2,3] => [1,2,3] => 1
[1,3,2,4] => [1,3,2] => [1,3,2] => [1,-3,2] => 0
[1,3,4,2] => [1,3,2] => [1,3,2] => [1,-3,2] => 0
[1,4,2,3] => [1,2,3] => [1,2,3] => [1,2,3] => 1
[1,4,3,2] => [1,3,2] => [1,3,2] => [1,-3,2] => 0
[2,1,3,4] => [2,1,3] => [2,1,3] => [-2,1,3] => 0
[2,1,4,3] => [2,1,3] => [2,1,3] => [-2,1,3] => 0
[2,3,1,4] => [2,3,1] => [2,3,1] => [3,-2,1] => 1
[2,3,4,1] => [2,3,1] => [2,3,1] => [3,-2,1] => 1
[2,4,1,3] => [2,1,3] => [2,1,3] => [-2,1,3] => 0
[2,4,3,1] => [2,3,1] => [2,3,1] => [3,-2,1] => 1
[3,1,2,4] => [3,1,2] => [3,1,2] => [3,1,2] => 0
[3,1,4,2] => [3,1,2] => [3,1,2] => [3,1,2] => 0
[3,2,1,4] => [3,2,1] => [3,2,1] => [-2,-3,1] => 0
[3,2,4,1] => [3,2,1] => [3,2,1] => [-2,-3,1] => 0
[3,4,1,2] => [3,1,2] => [3,1,2] => [3,1,2] => 0
[3,4,2,1] => [3,2,1] => [3,2,1] => [-2,-3,1] => 0
[4,1,2,3] => [1,2,3] => [1,2,3] => [1,2,3] => 1
[4,1,3,2] => [1,3,2] => [1,3,2] => [1,-3,2] => 0
[4,2,1,3] => [2,1,3] => [2,1,3] => [-2,1,3] => 0
[4,2,3,1] => [2,3,1] => [2,3,1] => [3,-2,1] => 1
[4,3,1,2] => [3,1,2] => [3,1,2] => [3,1,2] => 0
[4,3,2,1] => [3,2,1] => [3,2,1] => [-2,-3,1] => 0
[1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 1
[1,2,3,5,4] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 1
[1,2,4,3,5] => [1,2,4,3] => [1,2,4,3] => [1,2,-4,3] => 0
[1,2,4,5,3] => [1,2,4,3] => [1,2,4,3] => [1,2,-4,3] => 0
[1,2,5,3,4] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 1
[1,2,5,4,3] => [1,2,4,3] => [1,2,4,3] => [1,2,-4,3] => 0
[1,3,2,4,5] => [1,3,2,4] => [1,3,2,4] => [1,-3,2,4] => 0
[1,3,2,5,4] => [1,3,2,4] => [1,3,2,4] => [1,-3,2,4] => 0
[1,3,4,2,5] => [1,3,4,2] => [1,3,4,2] => [1,4,-3,2] => 1
[1,3,4,5,2] => [1,3,4,2] => [1,3,4,2] => [1,4,-3,2] => 1
[1,3,5,2,4] => [1,3,2,4] => [1,3,2,4] => [1,-3,2,4] => 0
[1,3,5,4,2] => [1,3,4,2] => [1,3,4,2] => [1,4,-3,2] => 1
[1,4,2,3,5] => [1,4,2,3] => [1,4,2,3] => [-4,1,2,3] => 0
[1,4,2,5,3] => [1,4,2,3] => [1,4,2,3] => [-4,1,2,3] => 0
[1,4,3,2,5] => [1,4,3,2] => [1,4,3,2] => [1,-3,-4,2] => 0
[1,4,3,5,2] => [1,4,3,2] => [1,4,3,2] => [1,-3,-4,2] => 0
[1,4,5,2,3] => [1,4,2,3] => [1,4,2,3] => [-4,1,2,3] => 0
[1,4,5,3,2] => [1,4,3,2] => [1,4,3,2] => [1,-3,-4,2] => 0
[1,5,2,3,4] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 1
[1,5,2,4,3] => [1,2,4,3] => [1,2,4,3] => [1,2,-4,3] => 0
[1,5,3,2,4] => [1,3,2,4] => [1,3,2,4] => [1,-3,2,4] => 0
[1,5,3,4,2] => [1,3,4,2] => [1,3,4,2] => [1,4,-3,2] => 1
[1,5,4,2,3] => [1,4,2,3] => [1,4,2,3] => [-4,1,2,3] => 0
[1,5,4,3,2] => [1,4,3,2] => [1,4,3,2] => [1,-3,-4,2] => 0
[2,1,3,4,5] => [2,1,3,4] => [2,1,3,4] => [-2,1,3,4] => 0
[2,1,3,5,4] => [2,1,3,4] => [2,1,3,4] => [-2,1,3,4] => 0
[2,1,4,3,5] => [2,1,4,3] => [2,1,4,3] => [-2,1,-4,3] => 0
[2,1,4,5,3] => [2,1,4,3] => [2,1,4,3] => [-2,1,-4,3] => 0
[2,1,5,3,4] => [2,1,3,4] => [2,1,3,4] => [-2,1,3,4] => 0
[2,1,5,4,3] => [2,1,4,3] => [2,1,4,3] => [-2,1,-4,3] => 0
[2,3,1,4,5] => [2,3,1,4] => [2,3,1,4] => [3,-2,1,4] => 1
[2,3,1,5,4] => [2,3,1,4] => [2,3,1,4] => [3,-2,1,4] => 1
[2,3,4,1,5] => [2,3,4,1] => [2,3,4,1] => [3,4,-2,1] => 0
[2,3,4,5,1] => [2,3,4,1] => [2,3,4,1] => [3,4,-2,1] => 0
[2,3,5,1,4] => [2,3,1,4] => [2,3,1,4] => [3,-2,1,4] => 1
[2,3,5,4,1] => [2,3,4,1] => [2,3,4,1] => [3,4,-2,1] => 0
[2,4,1,3,5] => [2,4,1,3] => [2,4,1,3] => [-2,4,1,3] => 0
[2,4,1,5,3] => [2,4,1,3] => [2,4,1,3] => [-2,4,1,3] => 0
[2,4,3,1,5] => [2,4,3,1] => [2,4,3,1] => [3,-2,-4,1] => 0
[2,4,3,5,1] => [2,4,3,1] => [2,4,3,1] => [3,-2,-4,1] => 0
[2,4,5,1,3] => [2,4,1,3] => [2,4,1,3] => [-2,4,1,3] => 0
[2,4,5,3,1] => [2,4,3,1] => [2,4,3,1] => [3,-2,-4,1] => 0
[2,5,1,3,4] => [2,1,3,4] => [2,1,3,4] => [-2,1,3,4] => 0
[2,5,1,4,3] => [2,1,4,3] => [2,1,4,3] => [-2,1,-4,3] => 0
[2,5,3,1,4] => [2,3,1,4] => [2,3,1,4] => [3,-2,1,4] => 1
[2,5,3,4,1] => [2,3,4,1] => [2,3,4,1] => [3,4,-2,1] => 0
[2,5,4,1,3] => [2,4,1,3] => [2,4,1,3] => [-2,4,1,3] => 0
[2,5,4,3,1] => [2,4,3,1] => [2,4,3,1] => [3,-2,-4,1] => 0
[3,1,2,4,5] => [3,1,2,4] => [3,1,2,4] => [3,1,2,4] => 0
[3,1,2,5,4] => [3,1,2,4] => [3,1,2,4] => [3,1,2,4] => 0
[3,1,4,2,5] => [3,1,4,2] => [3,1,4,2] => [-4,1,-3,2] => 0
[3,1,4,5,2] => [3,1,4,2] => [3,1,4,2] => [-4,1,-3,2] => 0
[3,1,5,2,4] => [3,1,2,4] => [3,1,2,4] => [3,1,2,4] => 0
[3,1,5,4,2] => [3,1,4,2] => [3,1,4,2] => [-4,1,-3,2] => 0
[3,2,1,4,5] => [3,2,1,4] => [3,2,1,4] => [-2,-3,1,4] => 0
[3,2,1,5,4] => [3,2,1,4] => [3,2,1,4] => [-2,-3,1,4] => 0
[3,2,4,1,5] => [3,2,4,1] => [3,2,4,1] => [-2,4,-3,1] => 0
[3,2,4,5,1] => [3,2,4,1] => [3,2,4,1] => [-2,4,-3,1] => 0
[3,2,5,1,4] => [3,2,1,4] => [3,2,1,4] => [-2,-3,1,4] => 0
[3,2,5,4,1] => [3,2,4,1] => [3,2,4,1] => [-2,4,-3,1] => 0
[3,4,1,2,5] => [3,4,1,2] => [3,4,1,2] => [3,4,1,2] => 1
[3,4,1,5,2] => [3,4,1,2] => [3,4,1,2] => [3,4,1,2] => 1
[3,4,2,1,5] => [3,4,2,1] => [3,4,2,1] => [2,-4,-3,1] => 0
[3,4,2,5,1] => [3,4,2,1] => [3,4,2,1] => [2,-4,-3,1] => 0
[3,4,5,1,2] => [3,4,1,2] => [3,4,1,2] => [3,4,1,2] => 1
[3,4,5,2,1] => [3,4,2,1] => [3,4,2,1] => [2,-4,-3,1] => 0
[3,5,1,2,4] => [3,1,2,4] => [3,1,2,4] => [3,1,2,4] => 0
[3,5,1,4,2] => [3,1,4,2] => [3,1,4,2] => [-4,1,-3,2] => 0
[3,5,2,1,4] => [3,2,1,4] => [3,2,1,4] => [-2,-3,1,4] => 0
>>> Load all 296 entries. <<<
[3,5,2,4,1] => [3,2,4,1] => [3,2,4,1] => [-2,4,-3,1] => 0
[3,5,4,1,2] => [3,4,1,2] => [3,4,1,2] => [3,4,1,2] => 1
[3,5,4,2,1] => [3,4,2,1] => [3,4,2,1] => [2,-4,-3,1] => 0
[4,1,2,3,5] => [4,1,2,3] => [4,1,2,3] => [1,4,2,3] => 0
[4,1,2,5,3] => [4,1,2,3] => [4,1,2,3] => [1,4,2,3] => 0
[4,1,3,2,5] => [4,1,3,2] => [4,1,3,2] => [3,1,-4,2] => 0
[4,1,3,5,2] => [4,1,3,2] => [4,1,3,2] => [3,1,-4,2] => 0
[4,1,5,2,3] => [4,1,2,3] => [4,1,2,3] => [1,4,2,3] => 0
[4,1,5,3,2] => [4,1,3,2] => [4,1,3,2] => [3,1,-4,2] => 0
[4,2,1,3,5] => [4,2,1,3] => [4,2,1,3] => [-4,-2,1,3] => 0
[4,2,1,5,3] => [4,2,1,3] => [4,2,1,3] => [-4,-2,1,3] => 0
[4,2,3,1,5] => [4,2,3,1] => [4,2,3,1] => [2,3,-4,1] => 0
[4,2,3,5,1] => [4,2,3,1] => [4,2,3,1] => [2,3,-4,1] => 0
[4,2,5,1,3] => [4,2,1,3] => [4,2,1,3] => [-4,-2,1,3] => 0
[4,2,5,3,1] => [4,2,3,1] => [4,2,3,1] => [2,3,-4,1] => 0
[4,3,1,2,5] => [4,3,1,2] => [4,3,1,2] => [-4,3,1,2] => 0
[4,3,1,5,2] => [4,3,1,2] => [4,3,1,2] => [-4,3,1,2] => 0
[4,3,2,1,5] => [4,3,2,1] => [4,3,2,1] => [-2,-3,-4,1] => 0
[4,3,2,5,1] => [4,3,2,1] => [4,3,2,1] => [-2,-3,-4,1] => 0
[4,3,5,1,2] => [4,3,1,2] => [4,3,1,2] => [-4,3,1,2] => 0
[4,3,5,2,1] => [4,3,2,1] => [4,3,2,1] => [-2,-3,-4,1] => 0
[4,5,1,2,3] => [4,1,2,3] => [4,1,2,3] => [1,4,2,3] => 0
[4,5,1,3,2] => [4,1,3,2] => [4,1,3,2] => [3,1,-4,2] => 0
[4,5,2,1,3] => [4,2,1,3] => [4,2,1,3] => [-4,-2,1,3] => 0
[4,5,2,3,1] => [4,2,3,1] => [4,2,3,1] => [2,3,-4,1] => 0
[4,5,3,1,2] => [4,3,1,2] => [4,3,1,2] => [-4,3,1,2] => 0
[4,5,3,2,1] => [4,3,2,1] => [4,3,2,1] => [-2,-3,-4,1] => 0
[5,1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 1
[5,1,2,4,3] => [1,2,4,3] => [1,2,4,3] => [1,2,-4,3] => 0
[5,1,3,2,4] => [1,3,2,4] => [1,3,2,4] => [1,-3,2,4] => 0
[5,1,3,4,2] => [1,3,4,2] => [1,3,4,2] => [1,4,-3,2] => 1
[5,1,4,2,3] => [1,4,2,3] => [1,4,2,3] => [-4,1,2,3] => 0
[5,1,4,3,2] => [1,4,3,2] => [1,4,3,2] => [1,-3,-4,2] => 0
[5,2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [-2,1,3,4] => 0
[5,2,1,4,3] => [2,1,4,3] => [2,1,4,3] => [-2,1,-4,3] => 0
[5,2,3,1,4] => [2,3,1,4] => [2,3,1,4] => [3,-2,1,4] => 1
[5,2,3,4,1] => [2,3,4,1] => [2,3,4,1] => [3,4,-2,1] => 0
[5,2,4,1,3] => [2,4,1,3] => [2,4,1,3] => [-2,4,1,3] => 0
[5,2,4,3,1] => [2,4,3,1] => [2,4,3,1] => [3,-2,-4,1] => 0
[5,3,1,2,4] => [3,1,2,4] => [3,1,2,4] => [3,1,2,4] => 0
[5,3,1,4,2] => [3,1,4,2] => [3,1,4,2] => [-4,1,-3,2] => 0
[5,3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [-2,-3,1,4] => 0
[5,3,2,4,1] => [3,2,4,1] => [3,2,4,1] => [-2,4,-3,1] => 0
[5,3,4,1,2] => [3,4,1,2] => [3,4,1,2] => [3,4,1,2] => 1
[5,3,4,2,1] => [3,4,2,1] => [3,4,2,1] => [2,-4,-3,1] => 0
[5,4,1,2,3] => [4,1,2,3] => [4,1,2,3] => [1,4,2,3] => 0
[5,4,1,3,2] => [4,1,3,2] => [4,1,3,2] => [3,1,-4,2] => 0
[5,4,2,1,3] => [4,2,1,3] => [4,2,1,3] => [-4,-2,1,3] => 0
[5,4,2,3,1] => [4,2,3,1] => [4,2,3,1] => [2,3,-4,1] => 0
[5,4,3,1,2] => [4,3,1,2] => [4,3,1,2] => [-4,3,1,2] => 0
[5,4,3,2,1] => [4,3,2,1] => [4,3,2,1] => [-2,-3,-4,1] => 0
[1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,2,3,4,6,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,2,3,5,4,6] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[1,2,3,5,6,4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[1,2,3,6,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,2,3,6,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[1,2,4,3,5,6] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[1,2,4,3,6,5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[1,2,4,5,3,6] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[1,2,4,5,6,3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[1,2,4,6,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[1,2,4,6,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[1,2,5,3,4,6] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[1,2,5,3,6,4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[1,2,5,4,3,6] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[1,2,5,4,6,3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[1,2,5,6,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[1,2,5,6,4,3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[1,2,6,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,2,6,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[1,2,6,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[1,2,6,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[1,2,6,5,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[1,2,6,5,4,3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[1,3,2,4,5,6] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[1,3,2,4,6,5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[1,3,2,5,4,6] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[1,3,2,5,6,4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[1,3,2,6,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[1,3,2,6,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[1,3,4,2,5,6] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[1,3,4,2,6,5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[1,3,4,5,2,6] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[1,3,4,5,6,2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[1,3,4,6,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[1,3,4,6,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[1,3,5,2,4,6] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[1,3,5,2,6,4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[1,3,5,4,2,6] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[1,3,5,4,6,2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[1,3,5,6,2,4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[1,3,5,6,4,2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[1,3,6,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[1,3,6,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[1,3,6,4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[1,3,6,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[1,3,6,5,2,4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[1,3,6,5,4,2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[1,4,2,5,3,6] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[1,4,2,5,6,3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[1,4,2,6,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[1,4,3,2,5,6] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[1,4,3,2,6,5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[1,4,3,5,2,6] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[1,4,3,5,6,2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[1,4,3,6,2,5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[1,4,3,6,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[1,4,5,3,2,6] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[1,4,5,3,6,2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[1,4,5,6,3,2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[1,4,6,2,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[1,4,6,3,2,5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[1,4,6,3,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[1,4,6,5,3,2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[1,5,3,2,4,6] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[1,5,3,2,6,4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[1,5,3,6,2,4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[1,5,4,3,2,6] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[1,5,4,3,6,2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[1,5,4,6,3,2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[1,5,6,3,2,4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[1,5,6,4,3,2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[1,6,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,6,2,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[1,6,2,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[1,6,2,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[1,6,2,5,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[1,6,2,5,4,3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[1,6,3,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[1,6,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[1,6,3,4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[1,6,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[1,6,3,5,2,4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[1,6,3,5,4,2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[1,6,4,2,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[1,6,4,3,2,5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[1,6,4,3,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[1,6,4,5,3,2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[1,6,5,3,2,4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[1,6,5,4,3,2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[4,1,2,3,5,6] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[4,1,2,3,6,5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[4,1,2,6,3,5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[4,1,6,2,3,5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[4,5,1,2,3,6] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[4,5,1,2,6,3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[4,5,1,6,2,3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[4,5,6,1,2,3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[4,6,1,2,3,5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[4,6,5,1,2,3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[5,1,2,3,4,6] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[5,1,2,3,6,4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[5,1,2,4,3,6] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[5,1,2,4,6,3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[5,1,2,6,3,4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[5,1,2,6,4,3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[5,1,3,4,2,6] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[5,1,3,4,6,2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[5,1,3,6,4,2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[5,1,4,2,3,6] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[5,1,4,2,6,3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[5,1,4,6,2,3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[5,1,6,2,3,4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[5,1,6,2,4,3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[5,1,6,3,4,2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[5,1,6,4,2,3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[5,6,1,2,3,4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[5,6,1,2,4,3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[5,6,1,3,4,2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[5,6,1,4,2,3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[6,1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[6,1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[6,1,2,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[6,1,2,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[6,1,2,5,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[6,1,2,5,4,3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[6,1,3,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[6,1,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[6,1,3,4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[6,1,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[6,1,3,5,2,4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[6,1,3,5,4,2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[6,1,4,2,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[6,1,4,3,2,5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[6,1,4,3,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[6,1,4,5,3,2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[6,1,5,3,2,4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[6,1,5,4,3,2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[6,4,1,2,3,5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[6,4,5,1,2,3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[6,5,1,2,3,4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[6,5,1,2,4,3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[6,5,1,3,4,2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[6,5,1,4,2,3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
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Description
The number of Hecke atoms of a signed permutation.
For a signed permutation $z\in\mathfrak H_n$, this is the cardinality of the set
$$ \{ w\in\mathfrak H_n | w^{-1} \star w = z\}, $$
where $\star$ denotes the Demazure product. Note that $w\mapsto w^{-1}\star w$ is a surjection onto the set of involutions.
Map
Foata-Han
Description
The Foata-Han bijection for signed permutations.
This map sends the flag major index St001433The flag major index of a signed permutation. to the flag inversion number St001428The number of B-inversions of a signed permutation..
Map
restriction
Description
The permutation obtained by removing the largest letter.
This map is undefined for the empty permutation.
Map
to signed permutation
Description
The signed permutation with all signs positive.