Identifier
Values
[1] => [1] => 0
[-1] => [-1] => 1
[1,2] => [1,2] => 0
[1,-2] => [1,-2] => 3
[-1,2] => [-1,2] => 1
[-1,-2] => [-1,-2] => 4
[2,1] => [-2,1] => 2
[2,-1] => [-2,-1] => 3
[-2,1] => [2,1] => 1
[-2,-1] => [2,-1] => 2
[1,2,3] => [1,2,3] => 0
[1,2,-3] => [1,2,-3] => 5
[1,-2,3] => [1,-2,3] => 3
[1,-2,-3] => [1,-2,-3] => 8
[-1,2,3] => [-1,2,3] => 1
[-1,2,-3] => [-1,2,-3] => 6
[-1,-2,3] => [-1,-2,3] => 4
[-1,-2,-3] => [-1,-2,-3] => 9
[1,3,2] => [1,-3,2] => 4
[1,3,-2] => [3,1,-2] => 5
[1,-3,2] => [-3,1,2] => 3
[1,-3,-2] => [1,3,-2] => 4
[-1,3,2] => [-1,-3,2] => 5
[-1,3,-2] => [3,-1,-2] => 6
[-1,-3,2] => [-3,-1,2] => 4
[-1,-3,-2] => [-1,3,-2] => 5
[2,1,3] => [-2,1,3] => 2
[2,1,-3] => [-2,1,-3] => 7
[2,-1,3] => [-2,-1,3] => 3
[2,-1,-3] => [-2,-1,-3] => 8
[-2,1,3] => [2,1,3] => 1
[-2,1,-3] => [2,1,-3] => 6
[-2,-1,3] => [2,-1,3] => 2
[-2,-1,-3] => [2,-1,-3] => 7
[2,3,1] => [3,-2,1] => 4
[2,3,-1] => [3,-2,-1] => 5
[2,-3,1] => [3,2,1] => 3
[2,-3,-1] => [3,2,-1] => 4
[-2,3,1] => [-3,-2,1] => 5
[-2,3,-1] => [-3,-2,-1] => 6
[-2,-3,1] => [-3,2,1] => 4
[-2,-3,-1] => [-3,2,-1] => 5
[3,1,2] => [3,1,2] => 2
[3,1,-2] => [1,-3,-2] => 7
[3,-1,2] => [3,-1,2] => 3
[3,-1,-2] => [-1,-3,-2] => 8
[-3,1,2] => [1,3,2] => 1
[-3,1,-2] => [-3,1,-2] => 6
[-3,-1,2] => [-1,3,2] => 2
[-3,-1,-2] => [-3,-1,-2] => 7
[3,2,1] => [-2,-3,1] => 6
[3,2,-1] => [-2,-3,-1] => 7
[3,-2,1] => [-2,3,1] => 3
[3,-2,-1] => [-2,3,-1] => 4
[-3,2,1] => [2,-3,1] => 5
[-3,2,-1] => [2,-3,-1] => 6
[-3,-2,1] => [2,3,1] => 2
[-3,-2,-1] => [2,3,-1] => 3
[1,2,3,4] => [1,2,3,4] => 0
[1,2,3,-4] => [1,2,3,-4] => 7
[1,2,-3,4] => [1,2,-3,4] => 5
[1,2,-3,-4] => [1,2,-3,-4] => 12
[1,-2,3,4] => [1,-2,3,4] => 3
[1,-2,3,-4] => [1,-2,3,-4] => 10
[1,-2,-3,4] => [1,-2,-3,4] => 8
[1,-2,-3,-4] => [1,-2,-3,-4] => 15
[-1,2,3,4] => [-1,2,3,4] => 1
[-1,2,3,-4] => [-1,2,3,-4] => 8
[-1,2,-3,4] => [-1,2,-3,4] => 6
[-1,2,-3,-4] => [-1,2,-3,-4] => 13
[-1,-2,3,4] => [-1,-2,3,4] => 4
[-1,-2,3,-4] => [-1,-2,3,-4] => 11
[-1,-2,-3,4] => [-1,-2,-3,4] => 9
[-1,-2,-3,-4] => [-1,-2,-3,-4] => 16
[1,2,4,3] => [1,2,-4,3] => 6
[1,2,4,-3] => [1,4,2,-3] => 7
[1,2,-4,3] => [1,-4,2,3] => 5
[1,2,-4,-3] => [1,2,4,-3] => 6
[1,-2,4,3] => [1,-2,-4,3] => 9
[1,-2,4,-3] => [1,4,-2,-3] => 10
[1,-2,-4,3] => [1,-4,-2,3] => 8
[1,-2,-4,-3] => [1,-2,4,-3] => 9
[-1,2,4,3] => [-1,2,-4,3] => 7
[-1,2,4,-3] => [-1,4,2,-3] => 8
[-1,2,-4,3] => [-1,-4,2,3] => 6
[-1,2,-4,-3] => [-1,2,4,-3] => 7
[-1,-2,4,3] => [-1,-2,-4,3] => 10
[-1,-2,4,-3] => [-1,4,-2,-3] => 11
[-1,-2,-4,3] => [-1,-4,-2,3] => 9
[-1,-2,-4,-3] => [-1,-2,4,-3] => 10
[1,3,2,4] => [1,-3,2,4] => 4
[1,3,2,-4] => [1,-3,2,-4] => 11
[1,3,-2,4] => [3,1,-2,4] => 5
[1,3,-2,-4] => [3,1,-2,-4] => 12
[1,-3,2,4] => [-3,1,2,4] => 3
[1,-3,2,-4] => [-3,1,2,-4] => 10
[1,-3,-2,4] => [1,3,-2,4] => 4
[1,-3,-2,-4] => [1,3,-2,-4] => 11
[-1,3,2,4] => [-1,-3,2,4] => 5
[-1,3,2,-4] => [-1,-3,2,-4] => 12
[-1,3,-2,4] => [3,-1,-2,4] => 6
>>> Load all 838 entries. <<<
[-1,3,-2,-4] => [3,-1,-2,-4] => 13
[-1,-3,2,4] => [-3,-1,2,4] => 4
[-1,-3,2,-4] => [-3,-1,2,-4] => 11
[-1,-3,-2,4] => [-1,3,-2,4] => 5
[-1,-3,-2,-4] => [-1,3,-2,-4] => 12
[1,3,4,2] => [1,4,-3,2] => 6
[1,3,4,-2] => [3,4,1,-2] => 7
[1,3,-4,2] => [-4,1,3,2] => 5
[1,3,-4,-2] => [1,4,3,-2] => 6
[1,-3,4,2] => [1,-4,-3,2] => 9
[1,-3,4,-2] => [4,1,-3,-2] => 10
[1,-3,-4,2] => [-3,-4,1,2] => 8
[1,-3,-4,-2] => [1,-4,3,-2] => 9
[-1,3,4,2] => [-1,4,-3,2] => 7
[-1,3,4,-2] => [3,4,-1,-2] => 8
[-1,3,-4,2] => [-4,-1,3,2] => 6
[-1,3,-4,-2] => [-1,4,3,-2] => 7
[-1,-3,4,2] => [-1,-4,-3,2] => 10
[-1,-3,4,-2] => [4,-1,-3,-2] => 11
[-1,-3,-4,2] => [-3,-4,-1,2] => 9
[-1,-3,-4,-2] => [-1,-4,3,-2] => 10
[1,4,2,3] => [-4,1,2,3] => 4
[1,4,2,-3] => [1,2,-4,-3] => 11
[1,4,-2,3] => [1,4,-2,3] => 5
[1,4,-2,-3] => [-4,1,-2,-3] => 12
[1,-4,2,3] => [4,1,2,3] => 3
[1,-4,2,-3] => [1,-4,2,-3] => 10
[1,-4,-2,3] => [1,-2,4,3] => 4
[1,-4,-2,-3] => [4,1,-2,-3] => 11
[-1,4,2,3] => [-4,-1,2,3] => 5
[-1,4,2,-3] => [-1,2,-4,-3] => 12
[-1,4,-2,3] => [-1,4,-2,3] => 6
[-1,4,-2,-3] => [-4,-1,-2,-3] => 13
[-1,-4,2,3] => [4,-1,2,3] => 4
[-1,-4,2,-3] => [-1,-4,2,-3] => 11
[-1,-4,-2,3] => [-1,-2,4,3] => 5
[-1,-4,-2,-3] => [4,-1,-2,-3] => 12
[1,4,3,2] => [1,-3,-4,2] => 10
[1,4,3,-2] => [3,1,-4,-2] => 11
[1,4,-3,2] => [1,-3,4,2] => 5
[1,4,-3,-2] => [3,1,4,-2] => 6
[1,-4,3,2] => [-3,1,-4,2] => 9
[1,-4,3,-2] => [1,3,-4,-2] => 10
[1,-4,-3,2] => [-3,1,4,2] => 4
[1,-4,-3,-2] => [1,3,4,-2] => 5
[-1,4,3,2] => [-1,-3,-4,2] => 11
[-1,4,3,-2] => [3,-1,-4,-2] => 12
[-1,4,-3,2] => [-1,-3,4,2] => 6
[-1,4,-3,-2] => [3,-1,4,-2] => 7
[-1,-4,3,2] => [-3,-1,-4,2] => 10
[-1,-4,3,-2] => [-1,3,-4,-2] => 11
[-1,-4,-3,2] => [-3,-1,4,2] => 5
[-1,-4,-3,-2] => [-1,3,4,-2] => 6
[2,1,3,4] => [-2,1,3,4] => 2
[2,1,3,-4] => [-2,1,3,-4] => 9
[2,1,-3,4] => [-2,1,-3,4] => 7
[2,1,-3,-4] => [-2,1,-3,-4] => 14
[2,-1,3,4] => [-2,-1,3,4] => 3
[2,-1,3,-4] => [-2,-1,3,-4] => 10
[2,-1,-3,4] => [-2,-1,-3,4] => 8
[2,-1,-3,-4] => [-2,-1,-3,-4] => 15
[-2,1,3,4] => [2,1,3,4] => 1
[-2,1,3,-4] => [2,1,3,-4] => 8
[-2,1,-3,4] => [2,1,-3,4] => 6
[-2,1,-3,-4] => [2,1,-3,-4] => 13
[-2,-1,3,4] => [2,-1,3,4] => 2
[-2,-1,3,-4] => [2,-1,3,-4] => 9
[-2,-1,-3,4] => [2,-1,-3,4] => 7
[-2,-1,-3,-4] => [2,-1,-3,-4] => 14
[2,1,4,3] => [-2,1,-4,3] => 8
[2,1,4,-3] => [-2,4,1,-3] => 9
[2,1,-4,3] => [-2,-4,1,3] => 7
[2,1,-4,-3] => [-2,1,4,-3] => 8
[2,-1,4,3] => [-2,-1,-4,3] => 9
[2,-1,4,-3] => [-2,4,-1,-3] => 10
[2,-1,-4,3] => [-2,-4,-1,3] => 8
[2,-1,-4,-3] => [-2,-1,4,-3] => 9
[-2,1,4,3] => [2,1,-4,3] => 7
[-2,1,4,-3] => [2,4,1,-3] => 8
[-2,1,-4,3] => [2,-4,1,3] => 6
[-2,1,-4,-3] => [2,1,4,-3] => 7
[-2,-1,4,3] => [2,-1,-4,3] => 8
[-2,-1,4,-3] => [2,4,-1,-3] => 9
[-2,-1,-4,3] => [2,-4,-1,3] => 7
[-2,-1,-4,-3] => [2,-1,4,-3] => 8
[2,3,1,4] => [3,-2,1,4] => 4
[2,3,1,-4] => [3,-2,1,-4] => 11
[2,3,-1,4] => [3,-2,-1,4] => 5
[2,3,-1,-4] => [3,-2,-1,-4] => 12
[2,-3,1,4] => [3,2,1,4] => 3
[2,-3,1,-4] => [3,2,1,-4] => 10
[2,-3,-1,4] => [3,2,-1,4] => 4
[2,-3,-1,-4] => [3,2,-1,-4] => 11
[-2,3,1,4] => [-3,-2,1,4] => 5
[-2,3,1,-4] => [-3,-2,1,-4] => 12
[-2,3,-1,4] => [-3,-2,-1,4] => 6
[-2,3,-1,-4] => [-3,-2,-1,-4] => 13
[-2,-3,1,4] => [-3,2,1,4] => 4
[-2,-3,1,-4] => [-3,2,1,-4] => 11
[-2,-3,-1,4] => [-3,2,-1,4] => 5
[-2,-3,-1,-4] => [-3,2,-1,-4] => 12
[2,3,4,1] => [3,4,-2,1] => 6
[2,3,4,-1] => [3,4,-2,-1] => 7
[2,3,-4,1] => [4,2,3,1] => 5
[2,3,-4,-1] => [4,2,3,-1] => 6
[2,-3,4,1] => [4,-2,-3,1] => 9
[2,-3,4,-1] => [4,-2,-3,-1] => 10
[2,-3,-4,1] => [3,-4,2,1] => 8
[2,-3,-4,-1] => [3,-4,2,-1] => 9
[-2,3,4,1] => [-3,4,-2,1] => 7
[-2,3,4,-1] => [-3,4,-2,-1] => 8
[-2,3,-4,1] => [-4,2,3,1] => 6
[-2,3,-4,-1] => [-4,2,3,-1] => 7
[-2,-3,4,1] => [-4,-2,-3,1] => 10
[-2,-3,4,-1] => [-4,-2,-3,-1] => 11
[-2,-3,-4,1] => [-3,-4,2,1] => 9
[-2,-3,-4,-1] => [-3,-4,2,-1] => 10
[2,4,1,3] => [-2,4,1,3] => 4
[2,4,1,-3] => [-4,-2,1,-3] => 11
[2,4,-1,3] => [-2,4,-1,3] => 5
[2,4,-1,-3] => [-4,-2,-1,-3] => 12
[2,-4,1,3] => [2,4,1,3] => 3
[2,-4,1,-3] => [-4,2,1,-3] => 10
[2,-4,-1,3] => [2,4,-1,3] => 4
[2,-4,-1,-3] => [-4,2,-1,-3] => 11
[-2,4,1,3] => [4,-2,1,3] => 5
[-2,4,1,-3] => [-2,-4,1,-3] => 12
[-2,4,-1,3] => [4,-2,-1,3] => 6
[-2,4,-1,-3] => [-2,-4,-1,-3] => 13
[-2,-4,1,3] => [4,2,1,3] => 4
[-2,-4,1,-3] => [2,-4,1,-3] => 11
[-2,-4,-1,3] => [4,2,-1,3] => 5
[-2,-4,-1,-3] => [2,-4,-1,-3] => 12
[2,4,3,1] => [3,-2,-4,1] => 10
[2,4,3,-1] => [3,-2,-4,-1] => 11
[2,4,-3,1] => [3,4,2,1] => 5
[2,4,-3,-1] => [3,4,2,-1] => 6
[2,-4,3,1] => [-2,3,-4,1] => 9
[2,-4,3,-1] => [-2,3,-4,-1] => 10
[2,-4,-3,1] => [3,2,4,1] => 4
[2,-4,-3,-1] => [3,2,4,-1] => 5
[-2,4,3,1] => [-3,-2,-4,1] => 11
[-2,4,3,-1] => [-3,-2,-4,-1] => 12
[-2,4,-3,1] => [2,-3,4,1] => 6
[-2,4,-3,-1] => [2,-3,4,-1] => 7
[-2,-4,3,1] => [-3,-4,-2,1] => 10
[-2,-4,3,-1] => [-3,-4,-2,-1] => 11
[-2,-4,-3,1] => [-3,2,4,1] => 5
[-2,-4,-3,-1] => [-3,2,4,-1] => 6
[3,1,2,4] => [3,1,2,4] => 2
[3,1,2,-4] => [3,1,2,-4] => 9
[3,1,-2,4] => [1,-3,-2,4] => 7
[3,1,-2,-4] => [1,-3,-2,-4] => 14
[3,-1,2,4] => [3,-1,2,4] => 3
[3,-1,2,-4] => [3,-1,2,-4] => 10
[3,-1,-2,4] => [-1,-3,-2,4] => 8
[3,-1,-2,-4] => [-1,-3,-2,-4] => 15
[-3,1,2,4] => [1,3,2,4] => 1
[-3,1,2,-4] => [1,3,2,-4] => 8
[-3,1,-2,4] => [-3,1,-2,4] => 6
[-3,1,-2,-4] => [-3,1,-2,-4] => 13
[-3,-1,2,4] => [-1,3,2,4] => 2
[-3,-1,2,-4] => [-1,3,2,-4] => 9
[-3,-1,-2,4] => [-3,-1,-2,4] => 7
[-3,-1,-2,-4] => [-3,-1,-2,-4] => 14
[3,1,4,2] => [-4,1,-3,2] => 8
[3,1,4,-2] => [1,4,-3,-2] => 9
[3,1,-4,2] => [3,-4,1,2] => 7
[3,1,-4,-2] => [-4,1,3,-2] => 8
[3,-1,4,2] => [-4,-1,-3,2] => 9
[3,-1,4,-2] => [-1,4,-3,-2] => 10
[3,-1,-4,2] => [3,-4,-1,2] => 8
[3,-1,-4,-2] => [-4,-1,3,-2] => 9
[-3,1,4,2] => [4,1,-3,2] => 7
[-3,1,4,-2] => [-3,4,1,-2] => 8
[-3,1,-4,2] => [1,-4,3,2] => 6
[-3,1,-4,-2] => [4,1,3,-2] => 7
[-3,-1,4,2] => [4,-1,-3,2] => 8
[-3,-1,4,-2] => [-3,4,-1,-2] => 9
[-3,-1,-4,2] => [-1,-4,3,2] => 7
[-3,-1,-4,-2] => [4,-1,3,-2] => 8
[3,2,1,4] => [-2,-3,1,4] => 6
[3,2,1,-4] => [-2,-3,1,-4] => 13
[3,2,-1,4] => [-2,-3,-1,4] => 7
[3,2,-1,-4] => [-2,-3,-1,-4] => 14
[3,-2,1,4] => [-2,3,1,4] => 3
[3,-2,1,-4] => [-2,3,1,-4] => 10
[3,-2,-1,4] => [-2,3,-1,4] => 4
[3,-2,-1,-4] => [-2,3,-1,-4] => 11
[-3,2,1,4] => [2,-3,1,4] => 5
[-3,2,1,-4] => [2,-3,1,-4] => 12
[-3,2,-1,4] => [2,-3,-1,4] => 6
[-3,2,-1,-4] => [2,-3,-1,-4] => 13
[-3,-2,1,4] => [2,3,1,4] => 2
[-3,-2,1,-4] => [2,3,1,-4] => 9
[-3,-2,-1,4] => [2,3,-1,4] => 3
[-3,-2,-1,-4] => [2,3,-1,-4] => 10
[3,2,4,1] => [-2,4,-3,1] => 8
[3,2,4,-1] => [-2,4,-3,-1] => 9
[3,2,-4,1] => [-4,3,2,1] => 7
[3,2,-4,-1] => [-4,3,2,-1] => 8
[3,-2,4,1] => [-4,-3,-2,1] => 9
[3,-2,4,-1] => [-4,-3,-2,-1] => 10
[3,-2,-4,1] => [-2,-4,3,1] => 8
[3,-2,-4,-1] => [-2,-4,3,-1] => 9
[-3,2,4,1] => [2,4,-3,1] => 7
[-3,2,4,-1] => [2,4,-3,-1] => 8
[-3,2,-4,1] => [4,3,2,1] => 6
[-3,2,-4,-1] => [4,3,2,-1] => 7
[-3,-2,4,1] => [4,-3,-2,1] => 8
[-3,-2,4,-1] => [4,-3,-2,-1] => 9
[-3,-2,-4,1] => [2,-4,3,1] => 7
[-3,-2,-4,-1] => [2,-4,3,-1] => 8
[3,4,1,2] => [3,4,1,2] => 4
[3,4,1,-2] => [-4,1,-3,-2] => 11
[3,4,-1,2] => [3,4,-1,2] => 5
[3,4,-1,-2] => [-4,-1,-3,-2] => 12
[3,-4,1,2] => [1,4,3,2] => 3
[3,-4,1,-2] => [3,-4,1,-2] => 10
[3,-4,-1,2] => [-1,4,3,2] => 4
[3,-4,-1,-2] => [3,-4,-1,-2] => 11
[-3,4,1,2] => [-3,4,1,2] => 5
[-3,4,1,-2] => [1,-4,-3,-2] => 12
[-3,4,-1,2] => [-3,4,-1,2] => 6
[-3,4,-1,-2] => [-1,-4,-3,-2] => 13
[-3,-4,1,2] => [4,1,3,2] => 4
[-3,-4,1,-2] => [-3,-4,1,-2] => 11
[-3,-4,-1,2] => [4,-1,3,2] => 5
[-3,-4,-1,-2] => [-3,-4,-1,-2] => 12
[3,4,2,1] => [2,-4,-3,1] => 10
[3,4,2,-1] => [2,-4,-3,-1] => 11
[3,4,-2,1] => [3,-2,4,1] => 5
[3,4,-2,-1] => [3,-2,4,-1] => 6
[3,-4,2,1] => [3,2,-4,1] => 9
[3,-4,2,-1] => [3,2,-4,-1] => 10
[3,-4,-2,1] => [2,4,3,1] => 4
[3,-4,-2,-1] => [2,4,3,-1] => 5
[-3,4,2,1] => [-2,-4,-3,1] => 11
[-3,4,2,-1] => [-2,-4,-3,-1] => 12
[-3,4,-2,1] => [-3,-2,4,1] => 6
[-3,4,-2,-1] => [-3,-2,4,-1] => 7
[-3,-4,2,1] => [-3,2,-4,1] => 10
[-3,-4,2,-1] => [-3,2,-4,-1] => 11
[-3,-4,-2,1] => [-2,4,3,1] => 5
[-3,-4,-2,-1] => [-2,4,3,-1] => 6
[4,1,2,3] => [1,4,2,3] => 2
[4,1,2,-3] => [-4,1,2,-3] => 9
[4,1,-2,3] => [-4,1,-2,3] => 7
[4,1,-2,-3] => [1,-2,-4,-3] => 14
[4,-1,2,3] => [-1,4,2,3] => 3
[4,-1,2,-3] => [-4,-1,2,-3] => 10
[4,-1,-2,3] => [-4,-1,-2,3] => 8
[4,-1,-2,-3] => [-1,-2,-4,-3] => 15
[-4,1,2,3] => [1,2,4,3] => 1
[-4,1,2,-3] => [4,1,2,-3] => 8
[-4,1,-2,3] => [4,1,-2,3] => 6
[-4,1,-2,-3] => [1,-4,-2,-3] => 13
[-4,-1,2,3] => [-1,2,4,3] => 2
[-4,-1,2,-3] => [4,-1,2,-3] => 9
[-4,-1,-2,3] => [4,-1,-2,3] => 7
[-4,-1,-2,-3] => [-1,-4,-2,-3] => 14
[4,1,3,2] => [3,1,-4,2] => 8
[4,1,3,-2] => [-4,3,1,-2] => 9
[4,1,-3,2] => [-4,-3,1,2] => 7
[4,1,-3,-2] => [1,-3,4,-2] => 8
[4,-1,3,2] => [3,-1,-4,2] => 9
[4,-1,3,-2] => [-4,3,-1,-2] => 10
[4,-1,-3,2] => [-4,-3,-1,2] => 8
[4,-1,-3,-2] => [-1,-3,4,-2] => 9
[-4,1,3,2] => [1,3,-4,2] => 7
[-4,1,3,-2] => [4,3,1,-2] => 8
[-4,1,-3,2] => [4,-3,1,2] => 6
[-4,1,-3,-2] => [-3,1,4,-2] => 7
[-4,-1,3,2] => [-1,3,-4,2] => 8
[-4,-1,3,-2] => [4,3,-1,-2] => 9
[-4,-1,-3,2] => [4,-3,-1,2] => 7
[-4,-1,-3,-2] => [-3,-1,4,-2] => 8
[4,2,1,3] => [-4,-2,1,3] => 6
[4,2,1,-3] => [-2,1,-4,-3] => 13
[4,2,-1,3] => [-4,-2,-1,3] => 7
[4,2,-1,-3] => [-2,-1,-4,-3] => 14
[4,-2,1,3] => [-2,1,4,3] => 3
[4,-2,1,-3] => [4,-2,1,-3] => 10
[4,-2,-1,3] => [-2,-1,4,3] => 4
[4,-2,-1,-3] => [4,-2,-1,-3] => 11
[-4,2,1,3] => [-4,2,1,3] => 5
[-4,2,1,-3] => [2,1,-4,-3] => 12
[-4,2,-1,3] => [-4,2,-1,3] => 6
[-4,2,-1,-3] => [2,-1,-4,-3] => 13
[-4,-2,1,3] => [2,1,4,3] => 2
[-4,-2,1,-3] => [4,2,1,-3] => 9
[-4,-2,-1,3] => [2,-1,4,3] => 3
[-4,-2,-1,-3] => [4,2,-1,-3] => 10
[4,2,3,1] => [2,3,-4,1] => 8
[4,2,3,-1] => [2,3,-4,-1] => 9
[4,2,-3,1] => [4,-3,2,1] => 7
[4,2,-3,-1] => [4,-3,2,-1] => 8
[4,-2,3,1] => [3,-4,-2,1] => 9
[4,-2,3,-1] => [3,-4,-2,-1] => 10
[4,-2,-3,1] => [-4,-3,2,1] => 8
[4,-2,-3,-1] => [-4,-3,2,-1] => 9
[-4,2,3,1] => [4,3,-2,1] => 7
[-4,2,3,-1] => [4,3,-2,-1] => 8
[-4,2,-3,1] => [-3,4,2,1] => 6
[-4,2,-3,-1] => [-3,4,2,-1] => 7
[-4,-2,3,1] => [-4,3,-2,1] => 8
[-4,-2,3,-1] => [-4,3,-2,-1] => 9
[-4,-2,-3,1] => [-2,-3,4,1] => 7
[-4,-2,-3,-1] => [-2,-3,4,-1] => 8
[4,3,1,2] => [-4,3,1,2] => 6
[4,3,1,-2] => [1,-3,-4,-2] => 13
[4,3,-1,2] => [-4,3,-1,2] => 7
[4,3,-1,-2] => [-1,-3,-4,-2] => 14
[4,-3,1,2] => [3,1,4,2] => 3
[4,-3,1,-2] => [-4,-3,1,-2] => 10
[4,-3,-1,2] => [3,-1,4,2] => 4
[4,-3,-1,-2] => [-4,-3,-1,-2] => 11
[-4,3,1,2] => [4,3,1,2] => 5
[-4,3,1,-2] => [-3,1,-4,-2] => 12
[-4,3,-1,2] => [4,3,-1,2] => 6
[-4,3,-1,-2] => [-3,-1,-4,-2] => 13
[-4,-3,1,2] => [1,3,4,2] => 2
[-4,-3,1,-2] => [4,-3,1,-2] => 9
[-4,-3,-1,2] => [-1,3,4,2] => 3
[-4,-3,-1,-2] => [4,-3,-1,-2] => 10
[4,3,2,1] => [-2,-3,-4,1] => 12
[4,3,2,-1] => [-2,-3,-4,-1] => 13
[4,3,-2,1] => [-4,-2,3,1] => 7
[4,3,-2,-1] => [-4,-2,3,-1] => 8
[4,-3,2,1] => [-4,2,-3,1] => 9
[4,-3,2,-1] => [-4,2,-3,-1] => 10
[4,-3,-2,1] => [-2,3,4,1] => 4
[4,-3,-2,-1] => [-2,3,4,-1] => 5
[-4,3,2,1] => [2,-3,-4,1] => 11
[-4,3,2,-1] => [2,-3,-4,-1] => 12
[-4,3,-2,1] => [4,-2,3,1] => 6
[-4,3,-2,-1] => [4,-2,3,-1] => 7
[-4,-3,2,1] => [4,2,-3,1] => 8
[-4,-3,2,-1] => [4,2,-3,-1] => 9
[-4,-3,-2,1] => [2,3,4,1] => 3
[-4,-3,-2,-1] => [2,3,4,-1] => 4
[1,2,3,4,5] => [1,2,3,4,5] => 0
[1,2,3,4,-5] => [1,2,3,4,-5] => 9
[-1,2,3,4,5] => [-1,2,3,4,5] => 1
[1,2,3,5,-4] => [1,2,5,3,-4] => 9
[1,2,3,-5,-4] => [1,2,3,5,-4] => 8
[1,2,4,5,-3] => [1,4,5,2,-3] => 9
[1,2,4,-5,-3] => [1,2,5,4,-3] => 8
[1,2,5,-4,-3] => [1,4,2,5,-3] => 8
[1,2,-5,-4,-3] => [1,2,4,5,-3] => 7
[1,3,4,5,-2] => [3,4,5,1,-2] => 9
[1,3,4,-5,-2] => [1,5,3,4,-2] => 8
[1,3,-5,2,4] => [5,1,3,2,4] => 5
[-1,3,-5,2,4] => [5,-1,3,2,4] => 6
[1,3,5,-4,-2] => [1,4,5,3,-2] => 8
[1,3,-5,-4,-2] => [1,4,3,5,-2] => 7
[1,-4,2,3,5] => [4,1,2,3,5] => 3
[1,-4,2,3,-5] => [4,1,2,3,-5] => 12
[-1,-4,2,3,5] => [4,-1,2,3,5] => 4
[1,4,-5,2,3] => [5,1,2,4,3] => 5
[-1,4,-5,2,3] => [5,-1,2,4,3] => 6
[1,4,5,-3,-2] => [3,4,1,5,-2] => 8
[1,4,-5,-3,-2] => [1,3,5,4,-2] => 7
[1,5,2,3,4] => [5,1,2,3,4] => 4
[1,-5,2,3,4] => [1,5,2,3,4] => 3
[-1,5,2,3,4] => [5,-1,2,3,4] => 5
[-1,-5,2,3,4] => [-1,5,2,3,4] => 4
[1,-5,-4,2,3] => [4,1,2,5,3] => 4
[-1,-5,-4,2,3] => [4,-1,2,5,3] => 5
[1,5,-4,-3,-2] => [3,1,4,5,-2] => 7
[1,-5,-4,-3,-2] => [1,3,4,5,-2] => 6
[-2,1,3,4,5] => [2,1,3,4,5] => 1
[-2,1,3,4,-5] => [2,1,3,4,-5] => 10
[-2,-1,3,4,5] => [2,-1,3,4,5] => 2
[-2,1,3,5,-4] => [2,1,5,3,-4] => 10
[-2,1,3,-5,-4] => [2,1,3,5,-4] => 9
[-2,1,4,5,-3] => [2,4,5,1,-3] => 10
[-2,1,4,-5,-3] => [2,1,5,4,-3] => 9
[-2,1,5,-4,-3] => [2,4,1,5,-3] => 9
[-2,1,-5,-4,-3] => [2,1,4,5,-3] => 8
[2,-3,1,4,5] => [3,2,1,4,5] => 3
[2,-3,1,4,-5] => [3,2,1,4,-5] => 12
[2,-3,-1,4,5] => [3,2,-1,4,5] => 4
[2,-3,1,5,-4] => [3,2,5,1,-4] => 12
[2,-3,1,-5,-4] => [3,2,1,5,-4] => 11
[2,3,-4,1,5] => [4,2,3,1,5] => 5
[2,3,-4,1,-5] => [4,2,3,1,-5] => 14
[2,3,-4,-1,5] => [4,2,3,-1,5] => 6
[2,3,4,-5,1] => [5,2,3,4,1] => 7
[2,3,4,-5,-1] => [5,2,3,4,-1] => 8
[2,3,-5,1,4] => [2,5,3,1,4] => 5
[2,3,-5,-1,4] => [2,5,3,-1,4] => 6
[-2,3,-5,1,4] => [5,2,3,1,4] => 6
[-2,3,-5,-1,4] => [5,2,3,-1,4] => 7
[2,3,5,-4,1] => [4,2,5,3,1] => 7
[2,3,5,-4,-1] => [4,2,5,3,-1] => 8
[2,3,-5,-4,1] => [4,2,3,5,1] => 6
[2,3,-5,-4,-1] => [4,2,3,5,-1] => 7
[2,-4,1,3,5] => [2,4,1,3,5] => 3
[2,-4,1,3,-5] => [2,4,1,3,-5] => 12
[2,-4,-1,3,5] => [2,4,-1,3,5] => 4
[-2,-4,1,3,5] => [4,2,1,3,5] => 4
[-2,-4,1,3,-5] => [4,2,1,3,-5] => 13
[-2,-4,-1,3,5] => [4,2,-1,3,5] => 5
[2,-4,1,-5,-3] => [5,2,1,4,-3] => 11
[2,4,-3,1,5] => [3,4,2,1,5] => 5
[2,4,-3,1,-5] => [3,4,2,1,-5] => 14
[2,4,-3,-1,5] => [3,4,2,-1,5] => 6
[2,-4,-3,1,5] => [3,2,4,1,5] => 4
[2,-4,-3,1,-5] => [3,2,4,1,-5] => 13
[2,-4,-3,-1,5] => [3,2,4,-1,5] => 5
[2,4,-5,1,3] => [2,5,1,4,3] => 5
[2,4,-5,-1,3] => [2,5,-1,4,3] => 6
[2,-4,-5,1,3] => [5,4,2,1,3] => 8
[2,-4,-5,-1,3] => [5,4,2,-1,3] => 9
[-2,4,-5,1,3] => [5,2,1,4,3] => 6
[-2,4,-5,-1,3] => [5,2,-1,4,3] => 7
[2,4,5,-3,1] => [3,4,5,2,1] => 7
[2,4,5,-3,-1] => [3,4,5,2,-1] => 8
[2,4,-5,-3,1] => [3,2,5,4,1] => 6
[2,4,-5,-3,-1] => [3,2,5,4,-1] => 7
[2,-5,1,3,4] => [2,1,5,3,4] => 3
[2,-5,1,3,-4] => [5,2,1,3,-4] => 12
[2,-5,-1,3,4] => [2,-1,5,3,4] => 4
[-2,-5,1,3,4] => [2,5,1,3,4] => 4
[-2,-5,-1,3,4] => [2,5,-1,3,4] => 5
[2,-5,1,4,-3] => [5,2,4,1,-3] => 12
[2,5,-3,1,4] => [3,2,5,1,4] => 5
[2,5,-3,1,-4] => [5,3,2,1,-4] => 14
[2,5,-3,-1,4] => [3,2,5,-1,4] => 6
[2,-5,-3,1,4] => [3,2,1,5,4] => 4
[2,-5,-3,1,-4] => [3,5,2,1,-4] => 13
[2,-5,-3,-1,4] => [3,2,-1,5,4] => 5
[2,5,-4,1,3] => [2,4,5,1,3] => 5
[2,5,-4,-1,3] => [2,4,5,-1,3] => 6
[2,-5,-4,1,3] => [2,4,1,5,3] => 4
[2,-5,-4,-1,3] => [2,4,-1,5,3] => 5
[-2,-5,-4,1,3] => [4,2,1,5,3] => 5
[-2,-5,-4,-1,3] => [4,2,-1,5,3] => 6
[2,5,-4,-3,1] => [3,4,2,5,1] => 6
[2,5,-4,-3,-1] => [3,4,2,5,-1] => 7
[2,-5,-4,-3,1] => [3,2,4,5,1] => 5
[2,-5,-4,-3,-1] => [3,2,4,5,-1] => 6
[3,1,2,4,5] => [3,1,2,4,5] => 2
[3,1,2,4,-5] => [3,1,2,4,-5] => 11
[3,-1,2,4,5] => [3,-1,2,4,5] => 3
[-3,1,2,4,5] => [1,3,2,4,5] => 1
[-3,1,2,4,-5] => [1,3,2,4,-5] => 10
[-3,-1,2,4,5] => [-1,3,2,4,5] => 2
[3,1,2,5,-4] => [3,1,5,2,-4] => 11
[3,1,2,-5,-4] => [3,1,2,5,-4] => 10
[-3,1,2,5,-4] => [1,3,5,2,-4] => 10
[-3,1,2,-5,-4] => [1,3,2,5,-4] => 9
[-3,1,4,-5,-2] => [5,1,3,4,-2] => 9
[-3,1,5,-4,-2] => [4,3,1,5,-2] => 9
[-3,1,-5,-4,-2] => [4,1,3,5,-2] => 8
[-3,-2,1,4,5] => [2,3,1,4,5] => 2
[-3,-2,1,4,-5] => [2,3,1,4,-5] => 11
[-3,-2,-1,4,5] => [2,3,-1,4,5] => 3
[-3,-2,1,5,-4] => [2,3,5,1,-4] => 11
[-3,-2,1,-5,-4] => [2,3,1,5,-4] => 10
[-3,2,-4,1,5] => [4,3,2,1,5] => 6
[-3,2,-4,1,-5] => [4,3,2,1,-5] => 15
[-3,2,-4,-1,5] => [4,3,2,-1,5] => 7
[-3,2,4,-5,1] => [5,3,2,4,1] => 8
[-3,2,4,-5,-1] => [5,3,2,4,-1] => 9
[3,2,-5,1,4] => [5,3,2,1,4] => 7
[3,2,-5,-1,4] => [5,3,2,-1,4] => 8
[-3,2,-5,1,4] => [3,5,2,1,4] => 6
[-3,2,-5,-1,4] => [3,5,2,-1,4] => 7
[-3,2,5,-4,1] => [4,3,5,2,1] => 8
[-3,2,5,-4,-1] => [4,3,5,2,-1] => 9
[-3,2,-5,-4,1] => [4,3,2,5,1] => 7
[-3,2,-5,-4,-1] => [4,3,2,5,-1] => 8
[3,4,1,2,5] => [3,4,1,2,5] => 4
[3,4,1,2,-5] => [3,4,1,2,-5] => 13
[3,4,-1,2,5] => [3,4,-1,2,5] => 5
[3,-4,1,2,5] => [1,4,3,2,5] => 3
[3,-4,1,2,-5] => [1,4,3,2,-5] => 12
[3,-4,-1,2,5] => [-1,4,3,2,5] => 4
[-3,-4,1,2,5] => [4,1,3,2,5] => 4
[-3,-4,1,2,-5] => [4,1,3,2,-5] => 13
[-3,-4,-1,2,5] => [4,-1,3,2,5] => 5
[3,-4,1,-5,-2] => [5,4,1,3,-2] => 11
[3,-4,-2,1,5] => [2,4,3,1,5] => 4
[3,-4,-2,1,-5] => [2,4,3,1,-5] => 13
[3,-4,-2,-1,5] => [2,4,3,-1,5] => 5
[3,-4,2,-5,1] => [5,4,3,2,1] => 10
[3,-4,2,-5,-1] => [5,4,3,2,-1] => 11
[3,4,5,1,2] => [3,4,5,1,2] => 6
[3,4,5,-1,2] => [3,4,5,-1,2] => 7
[3,4,-5,1,2] => [1,5,3,4,2] => 5
[3,4,-5,-1,2] => [-1,5,3,4,2] => 6
[3,-4,-5,1,2] => [5,4,1,3,2] => 8
[3,-4,-5,-1,2] => [5,4,-1,3,2] => 9
[-3,4,-5,1,2] => [5,1,3,4,2] => 6
[-3,4,-5,-1,2] => [5,-1,3,4,2] => 7
[3,4,-5,-2,1] => [2,5,3,4,1] => 6
[3,4,-5,-2,-1] => [2,5,3,4,-1] => 7
[3,5,1,2,4] => [3,1,5,2,4] => 4
[3,5,1,2,-4] => [5,3,1,2,-4] => 13
[3,5,-1,2,4] => [3,-1,5,2,4] => 5
[3,-5,1,2,4] => [1,3,5,2,4] => 3
[3,-5,1,2,-4] => [5,1,3,2,-4] => 12
[3,-5,-1,2,4] => [-1,3,5,2,4] => 4
[-3,-5,1,2,4] => [1,5,3,2,4] => 4
[-3,-5,-1,2,4] => [-1,5,3,2,4] => 5
[3,-5,-2,1,4] => [2,3,5,1,4] => 4
[3,-5,-2,1,-4] => [5,2,3,1,-4] => 13
[3,-5,-2,-1,4] => [2,3,5,-1,4] => 5
[3,5,-4,1,2] => [1,4,5,3,2] => 5
[3,5,-4,-1,2] => [-1,4,5,3,2] => 6
[3,-5,-4,1,2] => [1,4,3,5,2] => 4
[3,-5,-4,-1,2] => [-1,4,3,5,2] => 5
[-3,5,-4,1,2] => [4,3,1,5,2] => 6
[-3,5,-4,-1,2] => [4,3,-1,5,2] => 7
[-3,-5,-4,1,2] => [4,1,3,5,2] => 5
[-3,-5,-4,-1,2] => [4,-1,3,5,2] => 6
[3,5,-4,-2,1] => [2,4,5,3,1] => 6
[3,5,-4,-2,-1] => [2,4,5,3,-1] => 7
[3,-5,-4,-2,1] => [2,4,3,5,1] => 5
[3,-5,-4,-2,-1] => [2,4,3,5,-1] => 6
[4,1,2,3,5] => [1,4,2,3,5] => 2
[4,1,2,3,-5] => [1,4,2,3,-5] => 11
[4,-1,2,3,5] => [-1,4,2,3,5] => 3
[-4,1,2,3,5] => [1,2,4,3,5] => 1
[-4,1,2,3,-5] => [1,2,4,3,-5] => 10
[-4,-1,2,3,5] => [-1,2,4,3,5] => 2
[4,1,2,-5,-3] => [5,1,2,4,-3] => 10
[-4,1,2,5,-3] => [4,1,5,2,-3] => 10
[-4,1,2,-5,-3] => [1,5,2,4,-3] => 9
[4,1,3,-5,-2] => [5,1,4,3,-2] => 10
[-4,1,3,5,-2] => [4,3,5,1,-2] => 10
[-4,1,3,-5,-2] => [1,5,4,3,-2] => 9
[4,1,-5,2,3] => [5,4,1,2,3] => 7
[4,-1,-5,2,3] => [5,4,-1,2,3] => 8
[-4,1,-5,-3,-2] => [3,1,5,4,-2] => 8
[-4,-2,1,3,5] => [2,1,4,3,5] => 2
[-4,-2,1,3,-5] => [2,1,4,3,-5] => 11
[-4,-2,-1,3,5] => [2,-1,4,3,5] => 3
[-4,-2,1,5,-3] => [4,2,5,1,-3] => 11
[-4,-2,1,-5,-3] => [2,5,1,4,-3] => 10
[4,2,3,-5,1] => [5,4,2,3,1] => 9
[4,2,3,-5,-1] => [5,4,2,3,-1] => 10
[-4,2,3,-5,1] => [5,2,4,3,1] => 8
[-4,2,3,-5,-1] => [5,2,4,3,-1] => 9
[4,2,-5,1,3] => [5,2,4,1,3] => 7
[4,2,-5,-1,3] => [5,2,4,-1,3] => 8
[-4,2,-5,1,3] => [2,5,4,1,3] => 6
[-4,2,-5,-1,3] => [2,5,4,-1,3] => 7
[-4,2,-5,-3,1] => [3,5,2,4,1] => 7
[-4,2,-5,-3,-1] => [3,5,2,4,-1] => 8
[4,-3,1,2,5] => [3,1,4,2,5] => 3
[4,-3,1,2,-5] => [3,1,4,2,-5] => 12
[4,-3,-1,2,5] => [3,-1,4,2,5] => 4
[-4,3,1,2,5] => [4,3,1,2,5] => 5
[-4,3,1,2,-5] => [4,3,1,2,-5] => 14
[-4,3,-1,2,5] => [4,3,-1,2,5] => 6
[-4,-3,1,2,5] => [1,3,4,2,5] => 2
[-4,-3,1,2,-5] => [1,3,4,2,-5] => 11
[-4,-3,-1,2,5] => [-1,3,4,2,5] => 3
[-4,-3,1,-5,-2] => [5,3,1,4,-2] => 10
[-4,-3,-2,1,5] => [2,3,4,1,5] => 3
[-4,-3,-2,1,-5] => [2,3,4,1,-5] => 12
[-4,-3,-2,-1,5] => [2,3,4,-1,5] => 4
[-4,-3,2,-5,1] => [5,3,4,2,1] => 9
[-4,-3,2,-5,-1] => [5,3,4,2,-1] => 10
[4,3,-5,1,2] => [5,1,4,3,2] => 7
[4,3,-5,-1,2] => [5,-1,4,3,2] => 8
[-4,3,5,1,2] => [4,3,5,1,2] => 7
[-4,3,5,-1,2] => [4,3,5,-1,2] => 8
[-4,3,-5,1,2] => [1,5,4,3,2] => 6
[-4,3,-5,-1,2] => [-1,5,4,3,2] => 7
[-4,-3,-5,1,2] => [5,3,1,4,2] => 7
[-4,-3,-5,-1,2] => [5,3,-1,4,2] => 8
[-4,3,-5,-2,1] => [2,5,4,3,1] => 7
[-4,3,-5,-2,-1] => [2,5,4,3,-1] => 8
[4,5,1,2,3] => [1,4,5,2,3] => 4
[4,5,-1,2,3] => [-1,4,5,2,3] => 5
[4,-5,1,2,3] => [1,2,5,4,3] => 3
[4,-5,1,2,-3] => [5,4,1,2,-3] => 12
[4,-5,-1,2,3] => [-1,2,5,4,3] => 4
[-4,5,1,2,3] => [4,1,5,2,3] => 5
[-4,5,-1,2,3] => [4,-1,5,2,3] => 6
[-4,-5,1,2,3] => [1,5,2,4,3] => 4
[-4,-5,-1,2,3] => [-1,5,2,4,3] => 5
[4,-5,1,3,-2] => [5,4,3,1,-2] => 12
[4,-5,-2,1,3] => [2,1,5,4,3] => 4
[4,-5,-2,1,-3] => [5,4,2,1,-3] => 13
[4,-5,-2,-1,3] => [2,-1,5,4,3] => 5
[4,5,-3,1,2] => [3,4,1,5,2] => 5
[4,5,-3,-1,2] => [3,4,-1,5,2] => 6
[4,-5,3,1,2] => [5,4,3,1,2] => 9
[4,-5,3,-1,2] => [5,4,3,-1,2] => 10
[4,-5,-3,1,2] => [1,3,5,4,2] => 4
[4,-5,-3,-1,2] => [-1,3,5,4,2] => 5
[-4,-5,-3,1,2] => [3,1,5,4,2] => 5
[-4,-5,-3,-1,2] => [3,-1,5,4,2] => 6
[4,-5,-3,-2,1] => [2,3,5,4,1] => 5
[4,-5,-3,-2,-1] => [2,3,5,4,-1] => 6
[5,1,2,3,4] => [1,2,5,3,4] => 2
[5,1,2,3,-4] => [5,1,2,3,-4] => 11
[5,-1,2,3,4] => [-1,2,5,3,4] => 3
[-5,1,2,3,4] => [1,2,3,5,4] => 1
[-5,1,2,3,-4] => [1,5,2,3,-4] => 10
[-5,-1,2,3,4] => [-1,2,3,5,4] => 2
[5,1,2,4,-3] => [5,1,4,2,-3] => 11
[-5,1,2,4,-3] => [1,5,4,2,-3] => 10
[-5,1,2,-4,-3] => [4,1,2,5,-3] => 9
[5,1,3,4,-2] => [5,3,4,1,-2] => 11
[-5,1,3,4,-2] => [3,5,4,1,-2] => 10
[-5,1,3,-4,-2] => [4,1,5,3,-2] => 9
[-5,1,-4,2,3] => [4,5,1,2,3] => 6
[-5,-1,-4,2,3] => [4,5,-1,2,3] => 7
[-5,1,4,-3,-2] => [3,5,1,4,-2] => 9
[-5,2,1,3,4] => [5,2,1,3,4] => 5
[-5,2,-1,3,4] => [5,2,-1,3,4] => 6
[-5,-2,1,3,4] => [2,1,3,5,4] => 2
[-5,-2,1,3,-4] => [2,5,1,3,-4] => 11
[-5,-2,-1,3,4] => [2,-1,3,5,4] => 3
[-5,-2,1,4,-3] => [2,5,4,1,-3] => 11
[-5,-2,1,-4,-3] => [4,2,1,5,-3] => 10
[-5,2,3,-4,1] => [4,5,2,3,1] => 8
[-5,2,3,-4,-1] => [4,5,2,3,-1] => 9
[5,2,-4,1,3] => [4,5,2,1,3] => 7
[5,2,-4,-1,3] => [4,5,2,-1,3] => 8
[-5,2,-4,1,3] => [4,2,5,1,3] => 6
[-5,2,-4,-1,3] => [4,2,5,-1,3] => 7
[-5,2,4,-3,1] => [3,5,4,2,1] => 8
[-5,2,4,-3,-1] => [3,5,4,2,-1] => 9
[5,3,1,2,4] => [5,3,1,2,4] => 6
[5,3,-1,2,4] => [5,3,-1,2,4] => 7
[5,-3,1,2,4] => [3,1,2,5,4] => 3
[5,-3,1,2,-4] => [3,5,1,2,-4] => 12
[5,-3,-1,2,4] => [3,-1,2,5,4] => 4
[-5,3,1,2,4] => [3,5,1,2,4] => 5
[-5,3,-1,2,4] => [3,5,-1,2,4] => 6
[-5,-3,1,2,4] => [1,3,2,5,4] => 2
[-5,-3,1,2,-4] => [1,5,3,2,-4] => 11
[-5,-3,-1,2,4] => [-1,3,2,5,4] => 3
[-5,-3,1,-4,-2] => [4,5,1,3,-2] => 10
[-5,-3,-2,1,4] => [2,3,1,5,4] => 3
[-5,-3,-2,1,-4] => [2,5,3,1,-4] => 12
[-5,-3,-2,-1,4] => [2,3,-1,5,4] => 4
[-5,-3,2,-4,1] => [4,5,3,2,1] => 9
[-5,-3,2,-4,-1] => [4,5,3,2,-1] => 10
[5,3,4,1,2] => [5,3,4,1,2] => 8
[5,3,4,-1,2] => [5,3,4,-1,2] => 9
[5,3,-4,1,2] => [4,5,1,3,2] => 7
[5,3,-4,-1,2] => [4,5,-1,3,2] => 8
[-5,3,4,1,2] => [3,5,4,1,2] => 7
[-5,3,4,-1,2] => [3,5,4,-1,2] => 8
[-5,3,-4,1,2] => [4,1,5,3,2] => 6
[-5,3,-4,-1,2] => [4,-1,5,3,2] => 7
[5,4,1,2,3] => [5,1,4,2,3] => 6
[5,4,-1,2,3] => [5,-1,4,2,3] => 7
[5,-4,1,2,3] => [1,4,2,5,3] => 3
[5,-4,-1,2,3] => [-1,4,2,5,3] => 4
[-5,4,1,2,3] => [1,5,4,2,3] => 5
[-5,4,-1,2,3] => [-1,5,4,2,3] => 6
[-5,-4,1,2,3] => [1,2,4,5,3] => 2
[-5,-4,1,2,-3] => [4,5,1,2,-3] => 11
[-5,-4,-1,2,3] => [-1,2,4,5,3] => 3
[-5,-4,1,3,-2] => [4,5,3,1,-2] => 11
[-5,-4,-2,1,3] => [2,1,4,5,3] => 3
[-5,-4,-2,1,-3] => [4,5,2,1,-3] => 12
[-5,-4,-2,-1,3] => [2,-1,4,5,3] => 4
[5,-4,-3,1,2] => [3,1,4,5,2] => 4
[5,-4,-3,-1,2] => [3,-1,4,5,2] => 5
[-5,4,-3,1,2] => [3,5,1,4,2] => 6
[-5,4,-3,-1,2] => [3,5,-1,4,2] => 7
[-5,-4,3,1,2] => [4,5,3,1,2] => 8
[-5,-4,3,-1,2] => [4,5,3,-1,2] => 9
[-5,-4,-3,1,2] => [1,3,4,5,2] => 3
[-5,-4,-3,-1,2] => [-1,3,4,5,2] => 4
[-5,-4,-3,-2,1] => [2,3,4,5,1] => 4
[-5,-4,-3,-2,-1] => [2,3,4,5,-1] => 5
[1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,5,2,3,4,6] => [5,1,2,3,4,6] => 4
[1,5,6,2,3,4] => [5,1,2,6,3,4] => 6
[1,6,2,3,4,5] => [1,6,2,3,4,5] => 4
[3,1,2,4,5,6] => [3,1,2,4,5,6] => 2
[3,4,1,2,5,6] => [3,4,1,2,5,6] => 4
[3,4,5,1,2,6] => [3,4,5,1,2,6] => 6
[3,4,5,6,1,2] => [3,4,5,6,1,2] => 8
[3,4,6,1,2,5] => [3,4,1,6,2,5] => 6
[3,5,1,2,4,6] => [3,1,5,2,4,6] => 4
[3,5,6,1,2,4] => [3,1,5,6,2,4] => 6
[3,6,1,2,4,5] => [3,1,2,6,4,5] => 4
[4,1,2,3,5,6] => [1,4,2,3,5,6] => 2
[4,5,1,2,3,6] => [1,4,5,2,3,6] => 4
[4,5,6,1,2,3] => [1,4,5,6,2,3] => 6
[4,6,1,2,3,5] => [1,4,2,6,3,5] => 4
[5,1,2,3,4,6] => [1,2,5,3,4,6] => 2
[5,1,6,2,3,4] => [5,6,1,2,3,4] => 8
[5,3,1,2,4,6] => [5,3,1,2,4,6] => 6
[5,3,4,1,2,6] => [5,3,4,1,2,6] => 8
[5,3,4,6,1,2] => [5,3,4,6,1,2] => 10
[5,6,1,2,3,4] => [1,2,5,6,3,4] => 4
[5,6,3,1,2,4] => [5,6,3,1,2,4] => 10
[5,6,3,4,1,2] => [5,6,3,4,1,2] => 12
[6,1,2,3,4,5] => [1,2,3,6,4,5] => 2
[6,2,4,1,3,5] => [6,2,4,1,3,5] => 8
[6,3,1,2,4,5] => [3,6,1,2,4,5] => 6
[7,8,5,6,3,4,1,2] => [7,8,5,6,3,4,1,2] => 24
[-6,-4,-2,1,3,5] => [2,1,4,3,6,5] => 3
[4,5,2,3,-6,1] => [6,4,5,2,3,1] => 13
[3,4,7,8,1,2,5,6] => [3,4,1,2,7,8,5,6] => 8
[-4,-2,1,3,5,6] => [2,1,4,3,5,6] => 2
[-2,-5,1,3,4,6] => [2,5,1,3,4,6] => 4
[-6,-2,1,3,4,5] => [2,1,3,4,6,5] => 2
[-2,1,3,4,5,6] => [2,1,3,4,5,6] => 1
[5,-4,1,2,3,6] => [1,4,2,5,3,6] => 3
[5,6,-4,1,2,3] => [1,4,5,2,6,3] => 5
[-4,6,1,2,3,5] => [4,1,2,6,3,5] => 5
[-4,1,2,3,5,6] => [1,2,4,3,5,6] => 1
[-6,1,-5,2,3,4] => [1,5,6,2,3,4] => 6
[1,6,-5,2,3,4] => [5,1,2,3,6,4] => 5
[1,-5,2,3,4,6] => [1,5,2,3,4,6] => 3
[1,2,-6,3,4,5] => [6,1,2,3,4,5] => 5
[-6,1,2,3,4,5] => [1,2,3,4,6,5] => 1
[-4,3,1,2,5,6] => [4,3,1,2,5,6] => 5
[-2,1,-6,3,4,5] => [6,2,1,3,4,5] => 6
[3,1,-6,2,4,5] => [6,3,1,2,4,5] => 7
[-4,3,5,1,2,6] => [4,3,5,1,2,6] => 7
[-6,-4,3,1,2,5] => [4,3,6,1,2,5] => 8
[-6,5,3,1,2,4] => [6,5,3,1,2,4] => 11
[-6,5,3,4,1,2] => [6,5,3,4,1,2] => 13
[4,2,3,5,-6,1] => [6,4,2,3,5,1] => 11
[4,-6,-5,3,1,2] => [5,4,6,3,1,2] => 12
[4,5,-6,3,1,2] => [6,4,5,3,1,2] => 13
[-4,3,5,6,1,2] => [4,3,5,6,1,2] => 9
[2,-6,-5,-3,1,4] => [3,2,1,5,6,4] => 5
[-4,2,3,-5,1,6] => [5,2,4,3,1,6] => 8
[2,-4,-3,1,5,6] => [3,2,4,1,5,6] => 4
[2,3,-4,1,5,6] => [4,2,3,1,5,6] => 5
[2,3,4,5,-6,1] => [6,2,3,4,5,1] => 9
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Description
The number of B-inversions of a signed permutation.
The number of B-inversions of a signed permutation $\sigma$ of length $n$ is
$$ \operatorname{inv}_B(\sigma) = \big|\{ 1 \leq i < j \leq n \mid \sigma(i) > \sigma(j) \}\big| + \big|\{ 1 \leq i \leq j \leq n \mid \sigma(-i) > \sigma(j) \}\big|, $$
see [1, Eq. (8.2)]. According to [1, Eq. (8.4)], this is the Coxeter length of $\sigma$.
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..