Identifier
-
Mp00168:
Signed permutations
—Kreweras complement⟶
Signed permutations
Mp00161: Signed permutations —reverse⟶ Signed permutations
Mp00188: Signed permutations —complement⟶ Signed permutations
St001817: Signed permutations ⟶ ℤ
Values
[1] => [-1] => [-1] => [-1] => 1
[-1] => [1] => [1] => [1] => 2
[1,2] => [2,-1] => [-1,2] => [-2,1] => 1
[1,-2] => [2,1] => [1,2] => [2,1] => 2
[-1,2] => [-2,-1] => [-1,-2] => [-2,-1] => 2
[-1,-2] => [-2,1] => [1,-2] => [2,-1] => 3
[2,1] => [-1,2] => [2,-1] => [1,-2] => 3
[2,-1] => [1,2] => [2,1] => [1,2] => 4
[-2,1] => [-1,-2] => [-2,-1] => [-1,-2] => 2
[-2,-1] => [1,-2] => [-2,1] => [-1,2] => 3
[1,2,3] => [2,3,-1] => [-1,3,2] => [-3,1,2] => 1
[1,2,-3] => [2,3,1] => [1,3,2] => [3,1,2] => 2
[1,-2,3] => [2,-3,-1] => [-1,-3,2] => [-3,-1,2] => 2
[1,-2,-3] => [2,-3,1] => [1,-3,2] => [3,-1,2] => 3
[-1,2,3] => [-2,3,-1] => [-1,3,-2] => [-3,1,-2] => 2
[-1,2,-3] => [-2,3,1] => [1,3,-2] => [3,1,-2] => 3
[-1,-2,3] => [-2,-3,-1] => [-1,-3,-2] => [-3,-1,-2] => 3
[-1,-2,-3] => [-2,-3,1] => [1,-3,-2] => [3,-1,-2] => 4
[1,3,2] => [2,-1,3] => [3,-1,2] => [1,-3,2] => 3
[1,3,-2] => [2,1,3] => [3,1,2] => [1,3,2] => 4
[1,-3,2] => [2,-1,-3] => [-3,-1,2] => [-1,-3,2] => 2
[1,-3,-2] => [2,1,-3] => [-3,1,2] => [-1,3,2] => 3
[-1,3,2] => [-2,-1,3] => [3,-1,-2] => [1,-3,-2] => 4
[-1,3,-2] => [-2,1,3] => [3,1,-2] => [1,3,-2] => 5
[-1,-3,2] => [-2,-1,-3] => [-3,-1,-2] => [-1,-3,-2] => 3
[-1,-3,-2] => [-2,1,-3] => [-3,1,-2] => [-1,3,-2] => 4
[2,1,3] => [3,2,-1] => [-1,2,3] => [-3,2,1] => 3
[2,1,-3] => [3,2,1] => [1,2,3] => [3,2,1] => 4
[2,-1,3] => [-3,2,-1] => [-1,2,-3] => [-3,2,-1] => 4
[2,-1,-3] => [-3,2,1] => [1,2,-3] => [3,2,-1] => 5
[-2,1,3] => [3,-2,-1] => [-1,-2,3] => [-3,-2,1] => 2
[-2,1,-3] => [3,-2,1] => [1,-2,3] => [3,-2,1] => 3
[-2,-1,3] => [-3,-2,-1] => [-1,-2,-3] => [-3,-2,-1] => 3
[-2,-1,-3] => [-3,-2,1] => [1,-2,-3] => [3,-2,-1] => 4
[2,3,1] => [-1,2,3] => [3,2,-1] => [1,2,-3] => 5
[2,3,-1] => [1,2,3] => [3,2,1] => [1,2,3] => 6
[2,-3,1] => [-1,2,-3] => [-3,2,-1] => [-1,2,-3] => 4
[2,-3,-1] => [1,2,-3] => [-3,2,1] => [-1,2,3] => 5
[-2,3,1] => [-1,-2,3] => [3,-2,-1] => [1,-2,-3] => 4
[-2,3,-1] => [1,-2,3] => [3,-2,1] => [1,-2,3] => 5
[-2,-3,1] => [-1,-2,-3] => [-3,-2,-1] => [-1,-2,-3] => 3
[-2,-3,-1] => [1,-2,-3] => [-3,-2,1] => [-1,-2,3] => 4
[3,1,2] => [3,-1,2] => [2,-1,3] => [2,-3,1] => 3
[3,1,-2] => [3,1,2] => [2,1,3] => [2,3,1] => 4
[3,-1,2] => [-3,-1,2] => [2,-1,-3] => [2,-3,-1] => 4
[3,-1,-2] => [-3,1,2] => [2,1,-3] => [2,3,-1] => 5
[-3,1,2] => [3,-1,-2] => [-2,-1,3] => [-2,-3,1] => 2
[-3,1,-2] => [3,1,-2] => [-2,1,3] => [-2,3,1] => 3
[-3,-1,2] => [-3,-1,-2] => [-2,-1,-3] => [-2,-3,-1] => 3
[-3,-1,-2] => [-3,1,-2] => [-2,1,-3] => [-2,3,-1] => 4
[3,2,1] => [-1,3,2] => [2,3,-1] => [2,1,-3] => 3
[3,2,-1] => [1,3,2] => [2,3,1] => [2,1,3] => 4
[3,-2,1] => [-1,-3,2] => [2,-3,-1] => [2,-1,-3] => 4
[3,-2,-1] => [1,-3,2] => [2,-3,1] => [2,-1,3] => 5
[-3,2,1] => [-1,3,-2] => [-2,3,-1] => [-2,1,-3] => 2
[-3,2,-1] => [1,3,-2] => [-2,3,1] => [-2,1,3] => 3
[-3,-2,1] => [-1,-3,-2] => [-2,-3,-1] => [-2,-1,-3] => 3
[-3,-2,-1] => [1,-3,-2] => [-2,-3,1] => [-2,-1,3] => 4
[1,2,3,4] => [2,3,4,-1] => [-1,4,3,2] => [-4,1,2,3] => 1
[1,2,3,-4] => [2,3,4,1] => [1,4,3,2] => [4,1,2,3] => 2
[1,2,-3,4] => [2,3,-4,-1] => [-1,-4,3,2] => [-4,-1,2,3] => 2
[1,2,-3,-4] => [2,3,-4,1] => [1,-4,3,2] => [4,-1,2,3] => 3
[1,-2,3,4] => [2,-3,4,-1] => [-1,4,-3,2] => [-4,1,-2,3] => 2
[1,-2,3,-4] => [2,-3,4,1] => [1,4,-3,2] => [4,1,-2,3] => 3
[1,-2,-3,4] => [2,-3,-4,-1] => [-1,-4,-3,2] => [-4,-1,-2,3] => 3
[1,-2,-3,-4] => [2,-3,-4,1] => [1,-4,-3,2] => [4,-1,-2,3] => 4
[-1,2,3,4] => [-2,3,4,-1] => [-1,4,3,-2] => [-4,1,2,-3] => 2
[-1,2,3,-4] => [-2,3,4,1] => [1,4,3,-2] => [4,1,2,-3] => 3
[-1,2,-3,4] => [-2,3,-4,-1] => [-1,-4,3,-2] => [-4,-1,2,-3] => 3
[-1,2,-3,-4] => [-2,3,-4,1] => [1,-4,3,-2] => [4,-1,2,-3] => 4
[-1,-2,3,4] => [-2,-3,4,-1] => [-1,4,-3,-2] => [-4,1,-2,-3] => 3
[-1,-2,3,-4] => [-2,-3,4,1] => [1,4,-3,-2] => [4,1,-2,-3] => 4
[-1,-2,-3,4] => [-2,-3,-4,-1] => [-1,-4,-3,-2] => [-4,-1,-2,-3] => 4
[-1,-2,-3,-4] => [-2,-3,-4,1] => [1,-4,-3,-2] => [4,-1,-2,-3] => 5
[1,2,4,3] => [2,3,-1,4] => [4,-1,3,2] => [1,-4,2,3] => 3
[1,2,4,-3] => [2,3,1,4] => [4,1,3,2] => [1,4,2,3] => 4
[1,2,-4,3] => [2,3,-1,-4] => [-4,-1,3,2] => [-1,-4,2,3] => 2
[1,2,-4,-3] => [2,3,1,-4] => [-4,1,3,2] => [-1,4,2,3] => 3
[1,-2,4,3] => [2,-3,-1,4] => [4,-1,-3,2] => [1,-4,-2,3] => 4
[1,-2,4,-3] => [2,-3,1,4] => [4,1,-3,2] => [1,4,-2,3] => 5
[1,-2,-4,3] => [2,-3,-1,-4] => [-4,-1,-3,2] => [-1,-4,-2,3] => 3
[1,-2,-4,-3] => [2,-3,1,-4] => [-4,1,-3,2] => [-1,4,-2,3] => 4
[-1,2,4,3] => [-2,3,-1,4] => [4,-1,3,-2] => [1,-4,2,-3] => 4
[-1,2,4,-3] => [-2,3,1,4] => [4,1,3,-2] => [1,4,2,-3] => 5
[-1,2,-4,3] => [-2,3,-1,-4] => [-4,-1,3,-2] => [-1,-4,2,-3] => 3
[-1,2,-4,-3] => [-2,3,1,-4] => [-4,1,3,-2] => [-1,4,2,-3] => 4
[-1,-2,4,3] => [-2,-3,-1,4] => [4,-1,-3,-2] => [1,-4,-2,-3] => 5
[-1,-2,4,-3] => [-2,-3,1,4] => [4,1,-3,-2] => [1,4,-2,-3] => 6
[-1,-2,-4,3] => [-2,-3,-1,-4] => [-4,-1,-3,-2] => [-1,-4,-2,-3] => 4
[-1,-2,-4,-3] => [-2,-3,1,-4] => [-4,1,-3,-2] => [-1,4,-2,-3] => 5
[1,3,2,4] => [2,4,3,-1] => [-1,3,4,2] => [-4,2,1,3] => 3
[1,3,2,-4] => [2,4,3,1] => [1,3,4,2] => [4,2,1,3] => 4
[1,3,-2,4] => [2,-4,3,-1] => [-1,3,-4,2] => [-4,2,-1,3] => 4
[1,3,-2,-4] => [2,-4,3,1] => [1,3,-4,2] => [4,2,-1,3] => 5
[1,-3,2,4] => [2,4,-3,-1] => [-1,-3,4,2] => [-4,-2,1,3] => 2
[1,-3,2,-4] => [2,4,-3,1] => [1,-3,4,2] => [4,-2,1,3] => 3
[1,-3,-2,4] => [2,-4,-3,-1] => [-1,-3,-4,2] => [-4,-2,-1,3] => 3
[1,-3,-2,-4] => [2,-4,-3,1] => [1,-3,-4,2] => [4,-2,-1,3] => 4
[-1,3,2,4] => [-2,4,3,-1] => [-1,3,4,-2] => [-4,2,1,-3] => 4
[-1,3,2,-4] => [-2,4,3,1] => [1,3,4,-2] => [4,2,1,-3] => 5
[-1,3,-2,4] => [-2,-4,3,-1] => [-1,3,-4,-2] => [-4,2,-1,-3] => 5
>>> Load all 1200 entries. <<<[-1,3,-2,-4] => [-2,-4,3,1] => [1,3,-4,-2] => [4,2,-1,-3] => 6
[-1,-3,2,4] => [-2,4,-3,-1] => [-1,-3,4,-2] => [-4,-2,1,-3] => 3
[-1,-3,2,-4] => [-2,4,-3,1] => [1,-3,4,-2] => [4,-2,1,-3] => 4
[-1,-3,-2,4] => [-2,-4,-3,-1] => [-1,-3,-4,-2] => [-4,-2,-1,-3] => 4
[-1,-3,-2,-4] => [-2,-4,-3,1] => [1,-3,-4,-2] => [4,-2,-1,-3] => 5
[1,3,4,2] => [2,-1,3,4] => [4,3,-1,2] => [1,2,-4,3] => 5
[1,3,4,-2] => [2,1,3,4] => [4,3,1,2] => [1,2,4,3] => 6
[1,3,-4,2] => [2,-1,3,-4] => [-4,3,-1,2] => [-1,2,-4,3] => 4
[1,3,-4,-2] => [2,1,3,-4] => [-4,3,1,2] => [-1,2,4,3] => 5
[1,-3,4,2] => [2,-1,-3,4] => [4,-3,-1,2] => [1,-2,-4,3] => 4
[1,-3,4,-2] => [2,1,-3,4] => [4,-3,1,2] => [1,-2,4,3] => 5
[1,-3,-4,2] => [2,-1,-3,-4] => [-4,-3,-1,2] => [-1,-2,-4,3] => 3
[1,-3,-4,-2] => [2,1,-3,-4] => [-4,-3,1,2] => [-1,-2,4,3] => 4
[-1,3,4,2] => [-2,-1,3,4] => [4,3,-1,-2] => [1,2,-4,-3] => 6
[-1,3,4,-2] => [-2,1,3,4] => [4,3,1,-2] => [1,2,4,-3] => 7
[-1,3,-4,2] => [-2,-1,3,-4] => [-4,3,-1,-2] => [-1,2,-4,-3] => 5
[-1,3,-4,-2] => [-2,1,3,-4] => [-4,3,1,-2] => [-1,2,4,-3] => 6
[-1,-3,4,2] => [-2,-1,-3,4] => [4,-3,-1,-2] => [1,-2,-4,-3] => 5
[-1,-3,4,-2] => [-2,1,-3,4] => [4,-3,1,-2] => [1,-2,4,-3] => 6
[-1,-3,-4,2] => [-2,-1,-3,-4] => [-4,-3,-1,-2] => [-1,-2,-4,-3] => 4
[-1,-3,-4,-2] => [-2,1,-3,-4] => [-4,-3,1,-2] => [-1,-2,4,-3] => 5
[1,4,2,3] => [2,4,-1,3] => [3,-1,4,2] => [2,-4,1,3] => 3
[1,4,2,-3] => [2,4,1,3] => [3,1,4,2] => [2,4,1,3] => 4
[1,4,-2,3] => [2,-4,-1,3] => [3,-1,-4,2] => [2,-4,-1,3] => 4
[1,4,-2,-3] => [2,-4,1,3] => [3,1,-4,2] => [2,4,-1,3] => 5
[1,-4,2,3] => [2,4,-1,-3] => [-3,-1,4,2] => [-2,-4,1,3] => 2
[1,-4,2,-3] => [2,4,1,-3] => [-3,1,4,2] => [-2,4,1,3] => 3
[1,-4,-2,3] => [2,-4,-1,-3] => [-3,-1,-4,2] => [-2,-4,-1,3] => 3
[1,-4,-2,-3] => [2,-4,1,-3] => [-3,1,-4,2] => [-2,4,-1,3] => 4
[-1,4,2,3] => [-2,4,-1,3] => [3,-1,4,-2] => [2,-4,1,-3] => 4
[-1,4,2,-3] => [-2,4,1,3] => [3,1,4,-2] => [2,4,1,-3] => 5
[-1,4,-2,3] => [-2,-4,-1,3] => [3,-1,-4,-2] => [2,-4,-1,-3] => 5
[-1,4,-2,-3] => [-2,-4,1,3] => [3,1,-4,-2] => [2,4,-1,-3] => 6
[-1,-4,2,3] => [-2,4,-1,-3] => [-3,-1,4,-2] => [-2,-4,1,-3] => 3
[-1,-4,2,-3] => [-2,4,1,-3] => [-3,1,4,-2] => [-2,4,1,-3] => 4
[-1,-4,-2,3] => [-2,-4,-1,-3] => [-3,-1,-4,-2] => [-2,-4,-1,-3] => 4
[-1,-4,-2,-3] => [-2,-4,1,-3] => [-3,1,-4,-2] => [-2,4,-1,-3] => 5
[1,4,3,2] => [2,-1,4,3] => [3,4,-1,2] => [2,1,-4,3] => 3
[1,4,3,-2] => [2,1,4,3] => [3,4,1,2] => [2,1,4,3] => 4
[1,4,-3,2] => [2,-1,-4,3] => [3,-4,-1,2] => [2,-1,-4,3] => 4
[1,4,-3,-2] => [2,1,-4,3] => [3,-4,1,2] => [2,-1,4,3] => 5
[1,-4,3,2] => [2,-1,4,-3] => [-3,4,-1,2] => [-2,1,-4,3] => 2
[1,-4,3,-2] => [2,1,4,-3] => [-3,4,1,2] => [-2,1,4,3] => 3
[1,-4,-3,2] => [2,-1,-4,-3] => [-3,-4,-1,2] => [-2,-1,-4,3] => 3
[1,-4,-3,-2] => [2,1,-4,-3] => [-3,-4,1,2] => [-2,-1,4,3] => 4
[-1,4,3,2] => [-2,-1,4,3] => [3,4,-1,-2] => [2,1,-4,-3] => 4
[-1,4,3,-2] => [-2,1,4,3] => [3,4,1,-2] => [2,1,4,-3] => 5
[-1,4,-3,2] => [-2,-1,-4,3] => [3,-4,-1,-2] => [2,-1,-4,-3] => 5
[-1,4,-3,-2] => [-2,1,-4,3] => [3,-4,1,-2] => [2,-1,4,-3] => 6
[-1,-4,3,2] => [-2,-1,4,-3] => [-3,4,-1,-2] => [-2,1,-4,-3] => 3
[-1,-4,3,-2] => [-2,1,4,-3] => [-3,4,1,-2] => [-2,1,4,-3] => 4
[-1,-4,-3,2] => [-2,-1,-4,-3] => [-3,-4,-1,-2] => [-2,-1,-4,-3] => 4
[-1,-4,-3,-2] => [-2,1,-4,-3] => [-3,-4,1,-2] => [-2,-1,4,-3] => 5
[2,1,3,4] => [3,2,4,-1] => [-1,4,2,3] => [-4,1,3,2] => 3
[2,1,3,-4] => [3,2,4,1] => [1,4,2,3] => [4,1,3,2] => 4
[2,1,-3,4] => [3,2,-4,-1] => [-1,-4,2,3] => [-4,-1,3,2] => 4
[2,1,-3,-4] => [3,2,-4,1] => [1,-4,2,3] => [4,-1,3,2] => 5
[2,-1,3,4] => [-3,2,4,-1] => [-1,4,2,-3] => [-4,1,3,-2] => 4
[2,-1,3,-4] => [-3,2,4,1] => [1,4,2,-3] => [4,1,3,-2] => 5
[2,-1,-3,4] => [-3,2,-4,-1] => [-1,-4,2,-3] => [-4,-1,3,-2] => 5
[2,-1,-3,-4] => [-3,2,-4,1] => [1,-4,2,-3] => [4,-1,3,-2] => 6
[-2,1,3,4] => [3,-2,4,-1] => [-1,4,-2,3] => [-4,1,-3,2] => 2
[-2,1,3,-4] => [3,-2,4,1] => [1,4,-2,3] => [4,1,-3,2] => 3
[-2,1,-3,4] => [3,-2,-4,-1] => [-1,-4,-2,3] => [-4,-1,-3,2] => 3
[-2,1,-3,-4] => [3,-2,-4,1] => [1,-4,-2,3] => [4,-1,-3,2] => 4
[-2,-1,3,4] => [-3,-2,4,-1] => [-1,4,-2,-3] => [-4,1,-3,-2] => 3
[-2,-1,3,-4] => [-3,-2,4,1] => [1,4,-2,-3] => [4,1,-3,-2] => 4
[-2,-1,-3,4] => [-3,-2,-4,-1] => [-1,-4,-2,-3] => [-4,-1,-3,-2] => 4
[-2,-1,-3,-4] => [-3,-2,-4,1] => [1,-4,-2,-3] => [4,-1,-3,-2] => 5
[2,1,4,3] => [3,2,-1,4] => [4,-1,2,3] => [1,-4,3,2] => 5
[2,1,4,-3] => [3,2,1,4] => [4,1,2,3] => [1,4,3,2] => 6
[2,1,-4,3] => [3,2,-1,-4] => [-4,-1,2,3] => [-1,-4,3,2] => 4
[2,1,-4,-3] => [3,2,1,-4] => [-4,1,2,3] => [-1,4,3,2] => 5
[2,-1,4,3] => [-3,2,-1,4] => [4,-1,2,-3] => [1,-4,3,-2] => 6
[2,-1,4,-3] => [-3,2,1,4] => [4,1,2,-3] => [1,4,3,-2] => 7
[2,-1,-4,3] => [-3,2,-1,-4] => [-4,-1,2,-3] => [-1,-4,3,-2] => 5
[2,-1,-4,-3] => [-3,2,1,-4] => [-4,1,2,-3] => [-1,4,3,-2] => 6
[-2,1,4,3] => [3,-2,-1,4] => [4,-1,-2,3] => [1,-4,-3,2] => 4
[-2,1,4,-3] => [3,-2,1,4] => [4,1,-2,3] => [1,4,-3,2] => 5
[-2,1,-4,3] => [3,-2,-1,-4] => [-4,-1,-2,3] => [-1,-4,-3,2] => 3
[-2,1,-4,-3] => [3,-2,1,-4] => [-4,1,-2,3] => [-1,4,-3,2] => 4
[-2,-1,4,3] => [-3,-2,-1,4] => [4,-1,-2,-3] => [1,-4,-3,-2] => 5
[-2,-1,4,-3] => [-3,-2,1,4] => [4,1,-2,-3] => [1,4,-3,-2] => 6
[-2,-1,-4,3] => [-3,-2,-1,-4] => [-4,-1,-2,-3] => [-1,-4,-3,-2] => 4
[-2,-1,-4,-3] => [-3,-2,1,-4] => [-4,1,-2,-3] => [-1,4,-3,-2] => 5
[2,3,1,4] => [4,2,3,-1] => [-1,3,2,4] => [-4,2,3,1] => 5
[2,3,1,-4] => [4,2,3,1] => [1,3,2,4] => [4,2,3,1] => 6
[2,3,-1,4] => [-4,2,3,-1] => [-1,3,2,-4] => [-4,2,3,-1] => 6
[2,3,-1,-4] => [-4,2,3,1] => [1,3,2,-4] => [4,2,3,-1] => 7
[2,-3,1,4] => [4,2,-3,-1] => [-1,-3,2,4] => [-4,-2,3,1] => 4
[2,-3,1,-4] => [4,2,-3,1] => [1,-3,2,4] => [4,-2,3,1] => 5
[2,-3,-1,4] => [-4,2,-3,-1] => [-1,-3,2,-4] => [-4,-2,3,-1] => 5
[2,-3,-1,-4] => [-4,2,-3,1] => [1,-3,2,-4] => [4,-2,3,-1] => 6
[-2,3,1,4] => [4,-2,3,-1] => [-1,3,-2,4] => [-4,2,-3,1] => 4
[-2,3,1,-4] => [4,-2,3,1] => [1,3,-2,4] => [4,2,-3,1] => 5
[-2,3,-1,4] => [-4,-2,3,-1] => [-1,3,-2,-4] => [-4,2,-3,-1] => 5
[-2,3,-1,-4] => [-4,-2,3,1] => [1,3,-2,-4] => [4,2,-3,-1] => 6
[-2,-3,1,4] => [4,-2,-3,-1] => [-1,-3,-2,4] => [-4,-2,-3,1] => 3
[-2,-3,1,-4] => [4,-2,-3,1] => [1,-3,-2,4] => [4,-2,-3,1] => 4
[-2,-3,-1,4] => [-4,-2,-3,-1] => [-1,-3,-2,-4] => [-4,-2,-3,-1] => 4
[-2,-3,-1,-4] => [-4,-2,-3,1] => [1,-3,-2,-4] => [4,-2,-3,-1] => 5
[2,3,4,1] => [-1,2,3,4] => [4,3,2,-1] => [1,2,3,-4] => 7
[2,3,4,-1] => [1,2,3,4] => [4,3,2,1] => [1,2,3,4] => 8
[2,3,-4,1] => [-1,2,3,-4] => [-4,3,2,-1] => [-1,2,3,-4] => 6
[2,3,-4,-1] => [1,2,3,-4] => [-4,3,2,1] => [-1,2,3,4] => 7
[2,-3,4,1] => [-1,2,-3,4] => [4,-3,2,-1] => [1,-2,3,-4] => 6
[2,-3,4,-1] => [1,2,-3,4] => [4,-3,2,1] => [1,-2,3,4] => 7
[2,-3,-4,1] => [-1,2,-3,-4] => [-4,-3,2,-1] => [-1,-2,3,-4] => 5
[2,-3,-4,-1] => [1,2,-3,-4] => [-4,-3,2,1] => [-1,-2,3,4] => 6
[-2,3,4,1] => [-1,-2,3,4] => [4,3,-2,-1] => [1,2,-3,-4] => 6
[-2,3,4,-1] => [1,-2,3,4] => [4,3,-2,1] => [1,2,-3,4] => 7
[-2,3,-4,1] => [-1,-2,3,-4] => [-4,3,-2,-1] => [-1,2,-3,-4] => 5
[-2,3,-4,-1] => [1,-2,3,-4] => [-4,3,-2,1] => [-1,2,-3,4] => 6
[-2,-3,4,1] => [-1,-2,-3,4] => [4,-3,-2,-1] => [1,-2,-3,-4] => 5
[-2,-3,4,-1] => [1,-2,-3,4] => [4,-3,-2,1] => [1,-2,-3,4] => 6
[-2,-3,-4,1] => [-1,-2,-3,-4] => [-4,-3,-2,-1] => [-1,-2,-3,-4] => 4
[-2,-3,-4,-1] => [1,-2,-3,-4] => [-4,-3,-2,1] => [-1,-2,-3,4] => 5
[2,4,1,3] => [4,2,-1,3] => [3,-1,2,4] => [2,-4,3,1] => 5
[2,4,1,-3] => [4,2,1,3] => [3,1,2,4] => [2,4,3,1] => 6
[2,4,-1,3] => [-4,2,-1,3] => [3,-1,2,-4] => [2,-4,3,-1] => 6
[2,4,-1,-3] => [-4,2,1,3] => [3,1,2,-4] => [2,4,3,-1] => 7
[2,-4,1,3] => [4,2,-1,-3] => [-3,-1,2,4] => [-2,-4,3,1] => 4
[2,-4,1,-3] => [4,2,1,-3] => [-3,1,2,4] => [-2,4,3,1] => 5
[2,-4,-1,3] => [-4,2,-1,-3] => [-3,-1,2,-4] => [-2,-4,3,-1] => 5
[2,-4,-1,-3] => [-4,2,1,-3] => [-3,1,2,-4] => [-2,4,3,-1] => 6
[-2,4,1,3] => [4,-2,-1,3] => [3,-1,-2,4] => [2,-4,-3,1] => 4
[-2,4,1,-3] => [4,-2,1,3] => [3,1,-2,4] => [2,4,-3,1] => 5
[-2,4,-1,3] => [-4,-2,-1,3] => [3,-1,-2,-4] => [2,-4,-3,-1] => 5
[-2,4,-1,-3] => [-4,-2,1,3] => [3,1,-2,-4] => [2,4,-3,-1] => 6
[-2,-4,1,3] => [4,-2,-1,-3] => [-3,-1,-2,4] => [-2,-4,-3,1] => 3
[-2,-4,1,-3] => [4,-2,1,-3] => [-3,1,-2,4] => [-2,4,-3,1] => 4
[-2,-4,-1,3] => [-4,-2,-1,-3] => [-3,-1,-2,-4] => [-2,-4,-3,-1] => 4
[-2,-4,-1,-3] => [-4,-2,1,-3] => [-3,1,-2,-4] => [-2,4,-3,-1] => 5
[2,4,3,1] => [-1,2,4,3] => [3,4,2,-1] => [2,1,3,-4] => 5
[2,4,3,-1] => [1,2,4,3] => [3,4,2,1] => [2,1,3,4] => 6
[2,4,-3,1] => [-1,2,-4,3] => [3,-4,2,-1] => [2,-1,3,-4] => 6
[2,4,-3,-1] => [1,2,-4,3] => [3,-4,2,1] => [2,-1,3,4] => 7
[2,-4,3,1] => [-1,2,4,-3] => [-3,4,2,-1] => [-2,1,3,-4] => 4
[2,-4,3,-1] => [1,2,4,-3] => [-3,4,2,1] => [-2,1,3,4] => 5
[2,-4,-3,1] => [-1,2,-4,-3] => [-3,-4,2,-1] => [-2,-1,3,-4] => 5
[2,-4,-3,-1] => [1,2,-4,-3] => [-3,-4,2,1] => [-2,-1,3,4] => 6
[-2,4,3,1] => [-1,-2,4,3] => [3,4,-2,-1] => [2,1,-3,-4] => 4
[-2,4,3,-1] => [1,-2,4,3] => [3,4,-2,1] => [2,1,-3,4] => 5
[-2,4,-3,1] => [-1,-2,-4,3] => [3,-4,-2,-1] => [2,-1,-3,-4] => 5
[-2,4,-3,-1] => [1,-2,-4,3] => [3,-4,-2,1] => [2,-1,-3,4] => 6
[-2,-4,3,1] => [-1,-2,4,-3] => [-3,4,-2,-1] => [-2,1,-3,-4] => 3
[-2,-4,3,-1] => [1,-2,4,-3] => [-3,4,-2,1] => [-2,1,-3,4] => 4
[-2,-4,-3,1] => [-1,-2,-4,-3] => [-3,-4,-2,-1] => [-2,-1,-3,-4] => 4
[-2,-4,-3,-1] => [1,-2,-4,-3] => [-3,-4,-2,1] => [-2,-1,-3,4] => 5
[3,1,2,4] => [3,4,2,-1] => [-1,2,4,3] => [-4,3,1,2] => 3
[3,1,2,-4] => [3,4,2,1] => [1,2,4,3] => [4,3,1,2] => 4
[3,1,-2,4] => [3,-4,2,-1] => [-1,2,-4,3] => [-4,3,-1,2] => 4
[3,1,-2,-4] => [3,-4,2,1] => [1,2,-4,3] => [4,3,-1,2] => 5
[3,-1,2,4] => [-3,4,2,-1] => [-1,2,4,-3] => [-4,3,1,-2] => 4
[3,-1,2,-4] => [-3,4,2,1] => [1,2,4,-3] => [4,3,1,-2] => 5
[3,-1,-2,4] => [-3,-4,2,-1] => [-1,2,-4,-3] => [-4,3,-1,-2] => 5
[3,-1,-2,-4] => [-3,-4,2,1] => [1,2,-4,-3] => [4,3,-1,-2] => 6
[-3,1,2,4] => [3,4,-2,-1] => [-1,-2,4,3] => [-4,-3,1,2] => 2
[-3,1,2,-4] => [3,4,-2,1] => [1,-2,4,3] => [4,-3,1,2] => 3
[-3,1,-2,4] => [3,-4,-2,-1] => [-1,-2,-4,3] => [-4,-3,-1,2] => 3
[-3,1,-2,-4] => [3,-4,-2,1] => [1,-2,-4,3] => [4,-3,-1,2] => 4
[-3,-1,2,4] => [-3,4,-2,-1] => [-1,-2,4,-3] => [-4,-3,1,-2] => 3
[-3,-1,2,-4] => [-3,4,-2,1] => [1,-2,4,-3] => [4,-3,1,-2] => 4
[-3,-1,-2,4] => [-3,-4,-2,-1] => [-1,-2,-4,-3] => [-4,-3,-1,-2] => 4
[-3,-1,-2,-4] => [-3,-4,-2,1] => [1,-2,-4,-3] => [4,-3,-1,-2] => 5
[3,1,4,2] => [3,-1,2,4] => [4,2,-1,3] => [1,3,-4,2] => 5
[3,1,4,-2] => [3,1,2,4] => [4,2,1,3] => [1,3,4,2] => 6
[3,1,-4,2] => [3,-1,2,-4] => [-4,2,-1,3] => [-1,3,-4,2] => 4
[3,1,-4,-2] => [3,1,2,-4] => [-4,2,1,3] => [-1,3,4,2] => 5
[3,-1,4,2] => [-3,-1,2,4] => [4,2,-1,-3] => [1,3,-4,-2] => 6
[3,-1,4,-2] => [-3,1,2,4] => [4,2,1,-3] => [1,3,4,-2] => 7
[3,-1,-4,2] => [-3,-1,2,-4] => [-4,2,-1,-3] => [-1,3,-4,-2] => 5
[3,-1,-4,-2] => [-3,1,2,-4] => [-4,2,1,-3] => [-1,3,4,-2] => 6
[-3,1,4,2] => [3,-1,-2,4] => [4,-2,-1,3] => [1,-3,-4,2] => 4
[-3,1,4,-2] => [3,1,-2,4] => [4,-2,1,3] => [1,-3,4,2] => 5
[-3,1,-4,2] => [3,-1,-2,-4] => [-4,-2,-1,3] => [-1,-3,-4,2] => 3
[-3,1,-4,-2] => [3,1,-2,-4] => [-4,-2,1,3] => [-1,-3,4,2] => 4
[-3,-1,4,2] => [-3,-1,-2,4] => [4,-2,-1,-3] => [1,-3,-4,-2] => 5
[-3,-1,4,-2] => [-3,1,-2,4] => [4,-2,1,-3] => [1,-3,4,-2] => 6
[-3,-1,-4,2] => [-3,-1,-2,-4] => [-4,-2,-1,-3] => [-1,-3,-4,-2] => 4
[-3,-1,-4,-2] => [-3,1,-2,-4] => [-4,-2,1,-3] => [-1,-3,4,-2] => 5
[3,2,1,4] => [4,3,2,-1] => [-1,2,3,4] => [-4,3,2,1] => 3
[3,2,1,-4] => [4,3,2,1] => [1,2,3,4] => [4,3,2,1] => 4
[3,2,-1,4] => [-4,3,2,-1] => [-1,2,3,-4] => [-4,3,2,-1] => 4
[3,2,-1,-4] => [-4,3,2,1] => [1,2,3,-4] => [4,3,2,-1] => 5
[3,-2,1,4] => [4,-3,2,-1] => [-1,2,-3,4] => [-4,3,-2,1] => 4
[3,-2,1,-4] => [4,-3,2,1] => [1,2,-3,4] => [4,3,-2,1] => 5
[3,-2,-1,4] => [-4,-3,2,-1] => [-1,2,-3,-4] => [-4,3,-2,-1] => 5
[3,-2,-1,-4] => [-4,-3,2,1] => [1,2,-3,-4] => [4,3,-2,-1] => 6
[-3,2,1,4] => [4,3,-2,-1] => [-1,-2,3,4] => [-4,-3,2,1] => 2
[-3,2,1,-4] => [4,3,-2,1] => [1,-2,3,4] => [4,-3,2,1] => 3
[-3,2,-1,4] => [-4,3,-2,-1] => [-1,-2,3,-4] => [-4,-3,2,-1] => 3
[-3,2,-1,-4] => [-4,3,-2,1] => [1,-2,3,-4] => [4,-3,2,-1] => 4
[-3,-2,1,4] => [4,-3,-2,-1] => [-1,-2,-3,4] => [-4,-3,-2,1] => 3
[-3,-2,1,-4] => [4,-3,-2,1] => [1,-2,-3,4] => [4,-3,-2,1] => 4
[-3,-2,-1,4] => [-4,-3,-2,-1] => [-1,-2,-3,-4] => [-4,-3,-2,-1] => 4
[-3,-2,-1,-4] => [-4,-3,-2,1] => [1,-2,-3,-4] => [4,-3,-2,-1] => 5
[3,2,4,1] => [-1,3,2,4] => [4,2,3,-1] => [1,3,2,-4] => 5
[3,2,4,-1] => [1,3,2,4] => [4,2,3,1] => [1,3,2,4] => 6
[3,2,-4,1] => [-1,3,2,-4] => [-4,2,3,-1] => [-1,3,2,-4] => 4
[3,2,-4,-1] => [1,3,2,-4] => [-4,2,3,1] => [-1,3,2,4] => 5
[3,-2,4,1] => [-1,-3,2,4] => [4,2,-3,-1] => [1,3,-2,-4] => 6
[3,-2,4,-1] => [1,-3,2,4] => [4,2,-3,1] => [1,3,-2,4] => 7
[3,-2,-4,1] => [-1,-3,2,-4] => [-4,2,-3,-1] => [-1,3,-2,-4] => 5
[3,-2,-4,-1] => [1,-3,2,-4] => [-4,2,-3,1] => [-1,3,-2,4] => 6
[-3,2,4,1] => [-1,3,-2,4] => [4,-2,3,-1] => [1,-3,2,-4] => 4
[-3,2,4,-1] => [1,3,-2,4] => [4,-2,3,1] => [1,-3,2,4] => 5
[-3,2,-4,1] => [-1,3,-2,-4] => [-4,-2,3,-1] => [-1,-3,2,-4] => 3
[-3,2,-4,-1] => [1,3,-2,-4] => [-4,-2,3,1] => [-1,-3,2,4] => 4
[-3,-2,4,1] => [-1,-3,-2,4] => [4,-2,-3,-1] => [1,-3,-2,-4] => 5
[-3,-2,4,-1] => [1,-3,-2,4] => [4,-2,-3,1] => [1,-3,-2,4] => 6
[-3,-2,-4,1] => [-1,-3,-2,-4] => [-4,-2,-3,-1] => [-1,-3,-2,-4] => 4
[-3,-2,-4,-1] => [1,-3,-2,-4] => [-4,-2,-3,1] => [-1,-3,-2,4] => 5
[3,4,1,2] => [4,-1,2,3] => [3,2,-1,4] => [2,3,-4,1] => 5
[3,4,1,-2] => [4,1,2,3] => [3,2,1,4] => [2,3,4,1] => 6
[3,4,-1,2] => [-4,-1,2,3] => [3,2,-1,-4] => [2,3,-4,-1] => 6
[3,4,-1,-2] => [-4,1,2,3] => [3,2,1,-4] => [2,3,4,-1] => 7
[3,-4,1,2] => [4,-1,2,-3] => [-3,2,-1,4] => [-2,3,-4,1] => 4
[3,-4,1,-2] => [4,1,2,-3] => [-3,2,1,4] => [-2,3,4,1] => 5
[3,-4,-1,2] => [-4,-1,2,-3] => [-3,2,-1,-4] => [-2,3,-4,-1] => 5
[3,-4,-1,-2] => [-4,1,2,-3] => [-3,2,1,-4] => [-2,3,4,-1] => 6
[-3,4,1,2] => [4,-1,-2,3] => [3,-2,-1,4] => [2,-3,-4,1] => 4
[-3,4,1,-2] => [4,1,-2,3] => [3,-2,1,4] => [2,-3,4,1] => 5
[-3,4,-1,2] => [-4,-1,-2,3] => [3,-2,-1,-4] => [2,-3,-4,-1] => 5
[-3,4,-1,-2] => [-4,1,-2,3] => [3,-2,1,-4] => [2,-3,4,-1] => 6
[-3,-4,1,2] => [4,-1,-2,-3] => [-3,-2,-1,4] => [-2,-3,-4,1] => 3
[-3,-4,1,-2] => [4,1,-2,-3] => [-3,-2,1,4] => [-2,-3,4,1] => 4
[-3,-4,-1,2] => [-4,-1,-2,-3] => [-3,-2,-1,-4] => [-2,-3,-4,-1] => 4
[-3,-4,-1,-2] => [-4,1,-2,-3] => [-3,-2,1,-4] => [-2,-3,4,-1] => 5
[3,4,2,1] => [-1,4,2,3] => [3,2,4,-1] => [2,3,1,-4] => 5
[3,4,2,-1] => [1,4,2,3] => [3,2,4,1] => [2,3,1,4] => 6
[3,4,-2,1] => [-1,-4,2,3] => [3,2,-4,-1] => [2,3,-1,-4] => 6
[3,4,-2,-1] => [1,-4,2,3] => [3,2,-4,1] => [2,3,-1,4] => 7
[3,-4,2,1] => [-1,4,2,-3] => [-3,2,4,-1] => [-2,3,1,-4] => 4
[3,-4,2,-1] => [1,4,2,-3] => [-3,2,4,1] => [-2,3,1,4] => 5
[3,-4,-2,1] => [-1,-4,2,-3] => [-3,2,-4,-1] => [-2,3,-1,-4] => 5
[3,-4,-2,-1] => [1,-4,2,-3] => [-3,2,-4,1] => [-2,3,-1,4] => 6
[-3,4,2,1] => [-1,4,-2,3] => [3,-2,4,-1] => [2,-3,1,-4] => 4
[-3,4,2,-1] => [1,4,-2,3] => [3,-2,4,1] => [2,-3,1,4] => 5
[-3,4,-2,1] => [-1,-4,-2,3] => [3,-2,-4,-1] => [2,-3,-1,-4] => 5
[-3,4,-2,-1] => [1,-4,-2,3] => [3,-2,-4,1] => [2,-3,-1,4] => 6
[-3,-4,2,1] => [-1,4,-2,-3] => [-3,-2,4,-1] => [-2,-3,1,-4] => 3
[-3,-4,2,-1] => [1,4,-2,-3] => [-3,-2,4,1] => [-2,-3,1,4] => 4
[-3,-4,-2,1] => [-1,-4,-2,-3] => [-3,-2,-4,-1] => [-2,-3,-1,-4] => 4
[-3,-4,-2,-1] => [1,-4,-2,-3] => [-3,-2,-4,1] => [-2,-3,-1,4] => 5
[4,1,2,3] => [3,4,-1,2] => [2,-1,4,3] => [3,-4,1,2] => 3
[4,1,2,-3] => [3,4,1,2] => [2,1,4,3] => [3,4,1,2] => 4
[4,1,-2,3] => [3,-4,-1,2] => [2,-1,-4,3] => [3,-4,-1,2] => 4
[4,1,-2,-3] => [3,-4,1,2] => [2,1,-4,3] => [3,4,-1,2] => 5
[4,-1,2,3] => [-3,4,-1,2] => [2,-1,4,-3] => [3,-4,1,-2] => 4
[4,-1,2,-3] => [-3,4,1,2] => [2,1,4,-3] => [3,4,1,-2] => 5
[4,-1,-2,3] => [-3,-4,-1,2] => [2,-1,-4,-3] => [3,-4,-1,-2] => 5
[4,-1,-2,-3] => [-3,-4,1,2] => [2,1,-4,-3] => [3,4,-1,-2] => 6
[-4,1,2,3] => [3,4,-1,-2] => [-2,-1,4,3] => [-3,-4,1,2] => 2
[-4,1,2,-3] => [3,4,1,-2] => [-2,1,4,3] => [-3,4,1,2] => 3
[-4,1,-2,3] => [3,-4,-1,-2] => [-2,-1,-4,3] => [-3,-4,-1,2] => 3
[-4,1,-2,-3] => [3,-4,1,-2] => [-2,1,-4,3] => [-3,4,-1,2] => 4
[-4,-1,2,3] => [-3,4,-1,-2] => [-2,-1,4,-3] => [-3,-4,1,-2] => 3
[-4,-1,2,-3] => [-3,4,1,-2] => [-2,1,4,-3] => [-3,4,1,-2] => 4
[-4,-1,-2,3] => [-3,-4,-1,-2] => [-2,-1,-4,-3] => [-3,-4,-1,-2] => 4
[-4,-1,-2,-3] => [-3,-4,1,-2] => [-2,1,-4,-3] => [-3,4,-1,-2] => 5
[4,1,3,2] => [3,-1,4,2] => [2,4,-1,3] => [3,1,-4,2] => 3
[4,1,3,-2] => [3,1,4,2] => [2,4,1,3] => [3,1,4,2] => 4
[4,1,-3,2] => [3,-1,-4,2] => [2,-4,-1,3] => [3,-1,-4,2] => 4
[4,1,-3,-2] => [3,1,-4,2] => [2,-4,1,3] => [3,-1,4,2] => 5
[4,-1,3,2] => [-3,-1,4,2] => [2,4,-1,-3] => [3,1,-4,-2] => 4
[4,-1,3,-2] => [-3,1,4,2] => [2,4,1,-3] => [3,1,4,-2] => 5
[4,-1,-3,2] => [-3,-1,-4,2] => [2,-4,-1,-3] => [3,-1,-4,-2] => 5
[4,-1,-3,-2] => [-3,1,-4,2] => [2,-4,1,-3] => [3,-1,4,-2] => 6
[-4,1,3,2] => [3,-1,4,-2] => [-2,4,-1,3] => [-3,1,-4,2] => 2
[-4,1,3,-2] => [3,1,4,-2] => [-2,4,1,3] => [-3,1,4,2] => 3
[-4,1,-3,2] => [3,-1,-4,-2] => [-2,-4,-1,3] => [-3,-1,-4,2] => 3
[-4,1,-3,-2] => [3,1,-4,-2] => [-2,-4,1,3] => [-3,-1,4,2] => 4
[-4,-1,3,2] => [-3,-1,4,-2] => [-2,4,-1,-3] => [-3,1,-4,-2] => 3
[-4,-1,3,-2] => [-3,1,4,-2] => [-2,4,1,-3] => [-3,1,4,-2] => 4
[-4,-1,-3,2] => [-3,-1,-4,-2] => [-2,-4,-1,-3] => [-3,-1,-4,-2] => 4
[-4,-1,-3,-2] => [-3,1,-4,-2] => [-2,-4,1,-3] => [-3,-1,4,-2] => 5
[4,2,1,3] => [4,3,-1,2] => [2,-1,3,4] => [3,-4,2,1] => 3
[4,2,1,-3] => [4,3,1,2] => [2,1,3,4] => [3,4,2,1] => 4
[4,2,-1,3] => [-4,3,-1,2] => [2,-1,3,-4] => [3,-4,2,-1] => 4
[4,2,-1,-3] => [-4,3,1,2] => [2,1,3,-4] => [3,4,2,-1] => 5
[4,-2,1,3] => [4,-3,-1,2] => [2,-1,-3,4] => [3,-4,-2,1] => 4
[4,-2,1,-3] => [4,-3,1,2] => [2,1,-3,4] => [3,4,-2,1] => 5
[4,-2,-1,3] => [-4,-3,-1,2] => [2,-1,-3,-4] => [3,-4,-2,-1] => 5
[4,-2,-1,-3] => [-4,-3,1,2] => [2,1,-3,-4] => [3,4,-2,-1] => 6
[-4,2,1,3] => [4,3,-1,-2] => [-2,-1,3,4] => [-3,-4,2,1] => 2
[-4,2,1,-3] => [4,3,1,-2] => [-2,1,3,4] => [-3,4,2,1] => 3
[-4,2,-1,3] => [-4,3,-1,-2] => [-2,-1,3,-4] => [-3,-4,2,-1] => 3
[-4,2,-1,-3] => [-4,3,1,-2] => [-2,1,3,-4] => [-3,4,2,-1] => 4
[-4,-2,1,3] => [4,-3,-1,-2] => [-2,-1,-3,4] => [-3,-4,-2,1] => 3
[-4,-2,1,-3] => [4,-3,1,-2] => [-2,1,-3,4] => [-3,4,-2,1] => 4
[-4,-2,-1,3] => [-4,-3,-1,-2] => [-2,-1,-3,-4] => [-3,-4,-2,-1] => 4
[-4,-2,-1,-3] => [-4,-3,1,-2] => [-2,1,-3,-4] => [-3,4,-2,-1] => 5
[4,2,3,1] => [-1,3,4,2] => [2,4,3,-1] => [3,1,2,-4] => 3
[4,2,3,-1] => [1,3,4,2] => [2,4,3,1] => [3,1,2,4] => 4
[4,2,-3,1] => [-1,3,-4,2] => [2,-4,3,-1] => [3,-1,2,-4] => 4
[4,2,-3,-1] => [1,3,-4,2] => [2,-4,3,1] => [3,-1,2,4] => 5
[4,-2,3,1] => [-1,-3,4,2] => [2,4,-3,-1] => [3,1,-2,-4] => 4
[4,-2,3,-1] => [1,-3,4,2] => [2,4,-3,1] => [3,1,-2,4] => 5
[4,-2,-3,1] => [-1,-3,-4,2] => [2,-4,-3,-1] => [3,-1,-2,-4] => 5
[4,-2,-3,-1] => [1,-3,-4,2] => [2,-4,-3,1] => [3,-1,-2,4] => 6
[-4,2,3,1] => [-1,3,4,-2] => [-2,4,3,-1] => [-3,1,2,-4] => 2
[-4,2,3,-1] => [1,3,4,-2] => [-2,4,3,1] => [-3,1,2,4] => 3
[-4,2,-3,1] => [-1,3,-4,-2] => [-2,-4,3,-1] => [-3,-1,2,-4] => 3
[-4,2,-3,-1] => [1,3,-4,-2] => [-2,-4,3,1] => [-3,-1,2,4] => 4
[-4,-2,3,1] => [-1,-3,4,-2] => [-2,4,-3,-1] => [-3,1,-2,-4] => 3
[-4,-2,3,-1] => [1,-3,4,-2] => [-2,4,-3,1] => [-3,1,-2,4] => 4
[-4,-2,-3,1] => [-1,-3,-4,-2] => [-2,-4,-3,-1] => [-3,-1,-2,-4] => 4
[-4,-2,-3,-1] => [1,-3,-4,-2] => [-2,-4,-3,1] => [-3,-1,-2,4] => 5
[4,3,1,2] => [4,-1,3,2] => [2,3,-1,4] => [3,2,-4,1] => 5
[4,3,1,-2] => [4,1,3,2] => [2,3,1,4] => [3,2,4,1] => 6
[4,3,-1,2] => [-4,-1,3,2] => [2,3,-1,-4] => [3,2,-4,-1] => 6
[4,3,-1,-2] => [-4,1,3,2] => [2,3,1,-4] => [3,2,4,-1] => 7
[4,-3,1,2] => [4,-1,-3,2] => [2,-3,-1,4] => [3,-2,-4,1] => 4
[4,-3,1,-2] => [4,1,-3,2] => [2,-3,1,4] => [3,-2,4,1] => 5
[4,-3,-1,2] => [-4,-1,-3,2] => [2,-3,-1,-4] => [3,-2,-4,-1] => 5
[4,-3,-1,-2] => [-4,1,-3,2] => [2,-3,1,-4] => [3,-2,4,-1] => 6
[-4,3,1,2] => [4,-1,3,-2] => [-2,3,-1,4] => [-3,2,-4,1] => 4
[-4,3,1,-2] => [4,1,3,-2] => [-2,3,1,4] => [-3,2,4,1] => 5
[-4,3,-1,2] => [-4,-1,3,-2] => [-2,3,-1,-4] => [-3,2,-4,-1] => 5
[-4,3,-1,-2] => [-4,1,3,-2] => [-2,3,1,-4] => [-3,2,4,-1] => 6
[-4,-3,1,2] => [4,-1,-3,-2] => [-2,-3,-1,4] => [-3,-2,-4,1] => 3
[-4,-3,1,-2] => [4,1,-3,-2] => [-2,-3,1,4] => [-3,-2,4,1] => 4
[-4,-3,-1,2] => [-4,-1,-3,-2] => [-2,-3,-1,-4] => [-3,-2,-4,-1] => 4
[-4,-3,-1,-2] => [-4,1,-3,-2] => [-2,-3,1,-4] => [-3,-2,4,-1] => 5
[4,3,2,1] => [-1,4,3,2] => [2,3,4,-1] => [3,2,1,-4] => 5
[4,3,2,-1] => [1,4,3,2] => [2,3,4,1] => [3,2,1,4] => 6
[4,3,-2,1] => [-1,-4,3,2] => [2,3,-4,-1] => [3,2,-1,-4] => 6
[4,3,-2,-1] => [1,-4,3,2] => [2,3,-4,1] => [3,2,-1,4] => 7
[4,-3,2,1] => [-1,4,-3,2] => [2,-3,4,-1] => [3,-2,1,-4] => 4
[4,-3,2,-1] => [1,4,-3,2] => [2,-3,4,1] => [3,-2,1,4] => 5
[4,-3,-2,1] => [-1,-4,-3,2] => [2,-3,-4,-1] => [3,-2,-1,-4] => 5
[4,-3,-2,-1] => [1,-4,-3,2] => [2,-3,-4,1] => [3,-2,-1,4] => 6
[-4,3,2,1] => [-1,4,3,-2] => [-2,3,4,-1] => [-3,2,1,-4] => 4
[-4,3,2,-1] => [1,4,3,-2] => [-2,3,4,1] => [-3,2,1,4] => 5
[-4,3,-2,1] => [-1,-4,3,-2] => [-2,3,-4,-1] => [-3,2,-1,-4] => 5
[-4,3,-2,-1] => [1,-4,3,-2] => [-2,3,-4,1] => [-3,2,-1,4] => 6
[-4,-3,2,1] => [-1,4,-3,-2] => [-2,-3,4,-1] => [-3,-2,1,-4] => 3
[-4,-3,2,-1] => [1,4,-3,-2] => [-2,-3,4,1] => [-3,-2,1,4] => 4
[-4,-3,-2,1] => [-1,-4,-3,-2] => [-2,-3,-4,-1] => [-3,-2,-1,-4] => 4
[-4,-3,-2,-1] => [1,-4,-3,-2] => [-2,-3,-4,1] => [-3,-2,-1,4] => 5
[1,2,3,5,4] => [2,3,4,-1,5] => [5,-1,4,3,2] => [1,-5,2,3,4] => 3
[1,2,3,5,-4] => [2,3,4,1,5] => [5,1,4,3,2] => [1,5,2,3,4] => 4
[1,2,3,-5,4] => [2,3,4,-1,-5] => [-5,-1,4,3,2] => [-1,-5,2,3,4] => 2
[1,2,3,-5,-4] => [2,3,4,1,-5] => [-5,1,4,3,2] => [-1,5,2,3,4] => 3
[1,2,-3,5,4] => [2,3,-4,-1,5] => [5,-1,-4,3,2] => [1,-5,-2,3,4] => 4
[1,2,-3,5,-4] => [2,3,-4,1,5] => [5,1,-4,3,2] => [1,5,-2,3,4] => 5
[1,2,-3,-5,4] => [2,3,-4,-1,-5] => [-5,-1,-4,3,2] => [-1,-5,-2,3,4] => 3
[1,2,-3,-5,-4] => [2,3,-4,1,-5] => [-5,1,-4,3,2] => [-1,5,-2,3,4] => 4
[1,-2,3,5,4] => [2,-3,4,-1,5] => [5,-1,4,-3,2] => [1,-5,2,-3,4] => 4
[1,-2,3,5,-4] => [2,-3,4,1,5] => [5,1,4,-3,2] => [1,5,2,-3,4] => 5
[1,-2,3,-5,4] => [2,-3,4,-1,-5] => [-5,-1,4,-3,2] => [-1,-5,2,-3,4] => 3
[1,-2,3,-5,-4] => [2,-3,4,1,-5] => [-5,1,4,-3,2] => [-1,5,2,-3,4] => 4
[1,-2,-3,5,4] => [2,-3,-4,-1,5] => [5,-1,-4,-3,2] => [1,-5,-2,-3,4] => 5
[1,-2,-3,5,-4] => [2,-3,-4,1,5] => [5,1,-4,-3,2] => [1,5,-2,-3,4] => 6
[1,-2,-3,-5,4] => [2,-3,-4,-1,-5] => [-5,-1,-4,-3,2] => [-1,-5,-2,-3,4] => 4
[1,-2,-3,-5,-4] => [2,-3,-4,1,-5] => [-5,1,-4,-3,2] => [-1,5,-2,-3,4] => 5
[-1,2,3,5,4] => [-2,3,4,-1,5] => [5,-1,4,3,-2] => [1,-5,2,3,-4] => 4
[-1,2,3,5,-4] => [-2,3,4,1,5] => [5,1,4,3,-2] => [1,5,2,3,-4] => 5
[-1,2,3,-5,4] => [-2,3,4,-1,-5] => [-5,-1,4,3,-2] => [-1,-5,2,3,-4] => 3
[-1,2,3,-5,-4] => [-2,3,4,1,-5] => [-5,1,4,3,-2] => [-1,5,2,3,-4] => 4
[-1,2,-3,5,4] => [-2,3,-4,-1,5] => [5,-1,-4,3,-2] => [1,-5,-2,3,-4] => 5
[-1,2,-3,5,-4] => [-2,3,-4,1,5] => [5,1,-4,3,-2] => [1,5,-2,3,-4] => 6
[-1,2,-3,-5,4] => [-2,3,-4,-1,-5] => [-5,-1,-4,3,-2] => [-1,-5,-2,3,-4] => 4
[-1,2,-3,-5,-4] => [-2,3,-4,1,-5] => [-5,1,-4,3,-2] => [-1,5,-2,3,-4] => 5
[-1,-2,3,5,4] => [-2,-3,4,-1,5] => [5,-1,4,-3,-2] => [1,-5,2,-3,-4] => 5
[-1,-2,3,5,-4] => [-2,-3,4,1,5] => [5,1,4,-3,-2] => [1,5,2,-3,-4] => 6
[-1,-2,3,-5,4] => [-2,-3,4,-1,-5] => [-5,-1,4,-3,-2] => [-1,-5,2,-3,-4] => 4
[-1,-2,3,-5,-4] => [-2,-3,4,1,-5] => [-5,1,4,-3,-2] => [-1,5,2,-3,-4] => 5
[-1,-2,-3,5,4] => [-2,-3,-4,-1,5] => [5,-1,-4,-3,-2] => [1,-5,-2,-3,-4] => 6
[-1,-2,-3,5,-4] => [-2,-3,-4,1,5] => [5,1,-4,-3,-2] => [1,5,-2,-3,-4] => 7
[-1,-2,-3,-5,4] => [-2,-3,-4,-1,-5] => [-5,-1,-4,-3,-2] => [-1,-5,-2,-3,-4] => 5
[-1,-2,-3,-5,-4] => [-2,-3,-4,1,-5] => [-5,1,-4,-3,-2] => [-1,5,-2,-3,-4] => 6
[1,2,4,5,3] => [2,3,-1,4,5] => [5,4,-1,3,2] => [1,2,-5,3,4] => 5
[1,2,4,5,-3] => [2,3,1,4,5] => [5,4,1,3,2] => [1,2,5,3,4] => 6
[1,2,4,-5,3] => [2,3,-1,4,-5] => [-5,4,-1,3,2] => [-1,2,-5,3,4] => 4
[1,2,4,-5,-3] => [2,3,1,4,-5] => [-5,4,1,3,2] => [-1,2,5,3,4] => 5
[1,2,-4,5,3] => [2,3,-1,-4,5] => [5,-4,-1,3,2] => [1,-2,-5,3,4] => 4
[1,2,-4,5,-3] => [2,3,1,-4,5] => [5,-4,1,3,2] => [1,-2,5,3,4] => 5
[1,2,-4,-5,3] => [2,3,-1,-4,-5] => [-5,-4,-1,3,2] => [-1,-2,-5,3,4] => 3
[1,2,-4,-5,-3] => [2,3,1,-4,-5] => [-5,-4,1,3,2] => [-1,-2,5,3,4] => 4
[1,-2,4,5,3] => [2,-3,-1,4,5] => [5,4,-1,-3,2] => [1,2,-5,-3,4] => 6
[1,-2,4,5,-3] => [2,-3,1,4,5] => [5,4,1,-3,2] => [1,2,5,-3,4] => 7
[1,-2,4,-5,3] => [2,-3,-1,4,-5] => [-5,4,-1,-3,2] => [-1,2,-5,-3,4] => 5
[1,-2,4,-5,-3] => [2,-3,1,4,-5] => [-5,4,1,-3,2] => [-1,2,5,-3,4] => 6
[1,-2,-4,5,3] => [2,-3,-1,-4,5] => [5,-4,-1,-3,2] => [1,-2,-5,-3,4] => 5
[1,-2,-4,5,-3] => [2,-3,1,-4,5] => [5,-4,1,-3,2] => [1,-2,5,-3,4] => 6
[1,-2,-4,-5,3] => [2,-3,-1,-4,-5] => [-5,-4,-1,-3,2] => [-1,-2,-5,-3,4] => 4
[1,-2,-4,-5,-3] => [2,-3,1,-4,-5] => [-5,-4,1,-3,2] => [-1,-2,5,-3,4] => 5
[-1,2,4,5,3] => [-2,3,-1,4,5] => [5,4,-1,3,-2] => [1,2,-5,3,-4] => 6
[-1,2,4,5,-3] => [-2,3,1,4,5] => [5,4,1,3,-2] => [1,2,5,3,-4] => 7
[-1,2,4,-5,3] => [-2,3,-1,4,-5] => [-5,4,-1,3,-2] => [-1,2,-5,3,-4] => 5
[-1,2,4,-5,-3] => [-2,3,1,4,-5] => [-5,4,1,3,-2] => [-1,2,5,3,-4] => 6
[-1,2,-4,5,3] => [-2,3,-1,-4,5] => [5,-4,-1,3,-2] => [1,-2,-5,3,-4] => 5
[-1,2,-4,5,-3] => [-2,3,1,-4,5] => [5,-4,1,3,-2] => [1,-2,5,3,-4] => 6
[-1,2,-4,-5,3] => [-2,3,-1,-4,-5] => [-5,-4,-1,3,-2] => [-1,-2,-5,3,-4] => 4
[-1,2,-4,-5,-3] => [-2,3,1,-4,-5] => [-5,-4,1,3,-2] => [-1,-2,5,3,-4] => 5
[-1,-2,4,5,3] => [-2,-3,-1,4,5] => [5,4,-1,-3,-2] => [1,2,-5,-3,-4] => 7
[-1,-2,4,5,-3] => [-2,-3,1,4,5] => [5,4,1,-3,-2] => [1,2,5,-3,-4] => 8
[-1,-2,4,-5,3] => [-2,-3,-1,4,-5] => [-5,4,-1,-3,-2] => [-1,2,-5,-3,-4] => 6
[-1,-2,4,-5,-3] => [-2,-3,1,4,-5] => [-5,4,1,-3,-2] => [-1,2,5,-3,-4] => 7
[-1,-2,-4,5,3] => [-2,-3,-1,-4,5] => [5,-4,-1,-3,-2] => [1,-2,-5,-3,-4] => 6
[-1,-2,-4,5,-3] => [-2,-3,1,-4,5] => [5,-4,1,-3,-2] => [1,-2,5,-3,-4] => 7
[-1,-2,-4,-5,3] => [-2,-3,-1,-4,-5] => [-5,-4,-1,-3,-2] => [-1,-2,-5,-3,-4] => 5
[-1,-2,-4,-5,-3] => [-2,-3,1,-4,-5] => [-5,-4,1,-3,-2] => [-1,-2,5,-3,-4] => 6
[1,3,2,5,4] => [2,4,3,-1,5] => [5,-1,3,4,2] => [1,-5,3,2,4] => 5
[1,3,2,5,-4] => [2,4,3,1,5] => [5,1,3,4,2] => [1,5,3,2,4] => 6
[1,3,2,-5,4] => [2,4,3,-1,-5] => [-5,-1,3,4,2] => [-1,-5,3,2,4] => 4
[1,3,2,-5,-4] => [2,4,3,1,-5] => [-5,1,3,4,2] => [-1,5,3,2,4] => 5
[1,3,-2,5,4] => [2,-4,3,-1,5] => [5,-1,3,-4,2] => [1,-5,3,-2,4] => 6
[1,3,-2,5,-4] => [2,-4,3,1,5] => [5,1,3,-4,2] => [1,5,3,-2,4] => 7
[1,3,-2,-5,4] => [2,-4,3,-1,-5] => [-5,-1,3,-4,2] => [-1,-5,3,-2,4] => 5
[1,3,-2,-5,-4] => [2,-4,3,1,-5] => [-5,1,3,-4,2] => [-1,5,3,-2,4] => 6
[1,-3,2,5,4] => [2,4,-3,-1,5] => [5,-1,-3,4,2] => [1,-5,-3,2,4] => 4
[1,-3,2,5,-4] => [2,4,-3,1,5] => [5,1,-3,4,2] => [1,5,-3,2,4] => 5
[1,-3,2,-5,4] => [2,4,-3,-1,-5] => [-5,-1,-3,4,2] => [-1,-5,-3,2,4] => 3
[1,-3,2,-5,-4] => [2,4,-3,1,-5] => [-5,1,-3,4,2] => [-1,5,-3,2,4] => 4
[1,-3,-2,5,4] => [2,-4,-3,-1,5] => [5,-1,-3,-4,2] => [1,-5,-3,-2,4] => 5
[1,-3,-2,5,-4] => [2,-4,-3,1,5] => [5,1,-3,-4,2] => [1,5,-3,-2,4] => 6
[1,-3,-2,-5,4] => [2,-4,-3,-1,-5] => [-5,-1,-3,-4,2] => [-1,-5,-3,-2,4] => 4
[1,-3,-2,-5,-4] => [2,-4,-3,1,-5] => [-5,1,-3,-4,2] => [-1,5,-3,-2,4] => 5
[-1,3,2,5,4] => [-2,4,3,-1,5] => [5,-1,3,4,-2] => [1,-5,3,2,-4] => 6
[-1,3,2,5,-4] => [-2,4,3,1,5] => [5,1,3,4,-2] => [1,5,3,2,-4] => 7
[-1,3,2,-5,4] => [-2,4,3,-1,-5] => [-5,-1,3,4,-2] => [-1,-5,3,2,-4] => 5
[-1,3,2,-5,-4] => [-2,4,3,1,-5] => [-5,1,3,4,-2] => [-1,5,3,2,-4] => 6
[-1,3,-2,5,4] => [-2,-4,3,-1,5] => [5,-1,3,-4,-2] => [1,-5,3,-2,-4] => 7
[-1,3,-2,5,-4] => [-2,-4,3,1,5] => [5,1,3,-4,-2] => [1,5,3,-2,-4] => 8
[-1,3,-2,-5,4] => [-2,-4,3,-1,-5] => [-5,-1,3,-4,-2] => [-1,-5,3,-2,-4] => 6
[-1,3,-2,-5,-4] => [-2,-4,3,1,-5] => [-5,1,3,-4,-2] => [-1,5,3,-2,-4] => 7
[-1,-3,2,5,4] => [-2,4,-3,-1,5] => [5,-1,-3,4,-2] => [1,-5,-3,2,-4] => 5
[-1,-3,2,5,-4] => [-2,4,-3,1,5] => [5,1,-3,4,-2] => [1,5,-3,2,-4] => 6
[-1,-3,2,-5,4] => [-2,4,-3,-1,-5] => [-5,-1,-3,4,-2] => [-1,-5,-3,2,-4] => 4
[-1,-3,2,-5,-4] => [-2,4,-3,1,-5] => [-5,1,-3,4,-2] => [-1,5,-3,2,-4] => 5
[-1,-3,-2,5,4] => [-2,-4,-3,-1,5] => [5,-1,-3,-4,-2] => [1,-5,-3,-2,-4] => 6
[-1,-3,-2,5,-4] => [-2,-4,-3,1,5] => [5,1,-3,-4,-2] => [1,5,-3,-2,-4] => 7
[-1,-3,-2,-5,4] => [-2,-4,-3,-1,-5] => [-5,-1,-3,-4,-2] => [-1,-5,-3,-2,-4] => 5
[-1,-3,-2,-5,-4] => [-2,-4,-3,1,-5] => [-5,1,-3,-4,-2] => [-1,5,-3,-2,-4] => 6
[1,3,4,5,2] => [2,-1,3,4,5] => [5,4,3,-1,2] => [1,2,3,-5,4] => 7
[1,3,4,5,-2] => [2,1,3,4,5] => [5,4,3,1,2] => [1,2,3,5,4] => 8
[1,3,4,-5,2] => [2,-1,3,4,-5] => [-5,4,3,-1,2] => [-1,2,3,-5,4] => 6
[1,3,4,-5,-2] => [2,1,3,4,-5] => [-5,4,3,1,2] => [-1,2,3,5,4] => 7
[1,3,-4,5,2] => [2,-1,3,-4,5] => [5,-4,3,-1,2] => [1,-2,3,-5,4] => 6
[1,3,-4,5,-2] => [2,1,3,-4,5] => [5,-4,3,1,2] => [1,-2,3,5,4] => 7
[1,3,-4,-5,2] => [2,-1,3,-4,-5] => [-5,-4,3,-1,2] => [-1,-2,3,-5,4] => 5
[1,3,-4,-5,-2] => [2,1,3,-4,-5] => [-5,-4,3,1,2] => [-1,-2,3,5,4] => 6
[1,-3,4,5,2] => [2,-1,-3,4,5] => [5,4,-3,-1,2] => [1,2,-3,-5,4] => 6
[1,-3,4,5,-2] => [2,1,-3,4,5] => [5,4,-3,1,2] => [1,2,-3,5,4] => 7
[1,-3,4,-5,2] => [2,-1,-3,4,-5] => [-5,4,-3,-1,2] => [-1,2,-3,-5,4] => 5
[1,-3,4,-5,-2] => [2,1,-3,4,-5] => [-5,4,-3,1,2] => [-1,2,-3,5,4] => 6
[1,-3,-4,5,2] => [2,-1,-3,-4,5] => [5,-4,-3,-1,2] => [1,-2,-3,-5,4] => 5
[1,-3,-4,5,-2] => [2,1,-3,-4,5] => [5,-4,-3,1,2] => [1,-2,-3,5,4] => 6
[1,-3,-4,-5,2] => [2,-1,-3,-4,-5] => [-5,-4,-3,-1,2] => [-1,-2,-3,-5,4] => 4
[1,-3,-4,-5,-2] => [2,1,-3,-4,-5] => [-5,-4,-3,1,2] => [-1,-2,-3,5,4] => 5
[-1,3,4,5,2] => [-2,-1,3,4,5] => [5,4,3,-1,-2] => [1,2,3,-5,-4] => 8
[-1,3,4,5,-2] => [-2,1,3,4,5] => [5,4,3,1,-2] => [1,2,3,5,-4] => 9
[-1,3,4,-5,2] => [-2,-1,3,4,-5] => [-5,4,3,-1,-2] => [-1,2,3,-5,-4] => 7
[-1,3,4,-5,-2] => [-2,1,3,4,-5] => [-5,4,3,1,-2] => [-1,2,3,5,-4] => 8
[-1,3,-4,5,2] => [-2,-1,3,-4,5] => [5,-4,3,-1,-2] => [1,-2,3,-5,-4] => 7
[-1,3,-4,5,-2] => [-2,1,3,-4,5] => [5,-4,3,1,-2] => [1,-2,3,5,-4] => 8
[-1,3,-4,-5,2] => [-2,-1,3,-4,-5] => [-5,-4,3,-1,-2] => [-1,-2,3,-5,-4] => 6
[-1,3,-4,-5,-2] => [-2,1,3,-4,-5] => [-5,-4,3,1,-2] => [-1,-2,3,5,-4] => 7
[-1,-3,4,5,2] => [-2,-1,-3,4,5] => [5,4,-3,-1,-2] => [1,2,-3,-5,-4] => 7
[-1,-3,4,5,-2] => [-2,1,-3,4,5] => [5,4,-3,1,-2] => [1,2,-3,5,-4] => 8
[-1,-3,4,-5,2] => [-2,-1,-3,4,-5] => [-5,4,-3,-1,-2] => [-1,2,-3,-5,-4] => 6
[-1,-3,4,-5,-2] => [-2,1,-3,4,-5] => [-5,4,-3,1,-2] => [-1,2,-3,5,-4] => 7
[-1,-3,-4,5,2] => [-2,-1,-3,-4,5] => [5,-4,-3,-1,-2] => [1,-2,-3,-5,-4] => 6
[-1,-3,-4,5,-2] => [-2,1,-3,-4,5] => [5,-4,-3,1,-2] => [1,-2,-3,5,-4] => 7
[-1,-3,-4,-5,2] => [-2,-1,-3,-4,-5] => [-5,-4,-3,-1,-2] => [-1,-2,-3,-5,-4] => 5
[-1,-3,-4,-5,-2] => [-2,1,-3,-4,-5] => [-5,-4,-3,1,-2] => [-1,-2,-3,5,-4] => 6
[1,4,2,5,3] => [2,4,-1,3,5] => [5,3,-1,4,2] => [1,3,-5,2,4] => 5
[1,4,2,5,-3] => [2,4,1,3,5] => [5,3,1,4,2] => [1,3,5,2,4] => 6
[1,4,2,-5,3] => [2,4,-1,3,-5] => [-5,3,-1,4,2] => [-1,3,-5,2,4] => 4
[1,4,2,-5,-3] => [2,4,1,3,-5] => [-5,3,1,4,2] => [-1,3,5,2,4] => 5
[1,4,-2,5,3] => [2,-4,-1,3,5] => [5,3,-1,-4,2] => [1,3,-5,-2,4] => 6
[1,4,-2,5,-3] => [2,-4,1,3,5] => [5,3,1,-4,2] => [1,3,5,-2,4] => 7
[1,4,-2,-5,3] => [2,-4,-1,3,-5] => [-5,3,-1,-4,2] => [-1,3,-5,-2,4] => 5
[1,4,-2,-5,-3] => [2,-4,1,3,-5] => [-5,3,1,-4,2] => [-1,3,5,-2,4] => 6
[1,-4,2,5,3] => [2,4,-1,-3,5] => [5,-3,-1,4,2] => [1,-3,-5,2,4] => 4
[1,-4,2,5,-3] => [2,4,1,-3,5] => [5,-3,1,4,2] => [1,-3,5,2,4] => 5
[1,-4,2,-5,3] => [2,4,-1,-3,-5] => [-5,-3,-1,4,2] => [-1,-3,-5,2,4] => 3
[1,-4,2,-5,-3] => [2,4,1,-3,-5] => [-5,-3,1,4,2] => [-1,-3,5,2,4] => 4
[1,-4,-2,5,3] => [2,-4,-1,-3,5] => [5,-3,-1,-4,2] => [1,-3,-5,-2,4] => 5
[1,-4,-2,5,-3] => [2,-4,1,-3,5] => [5,-3,1,-4,2] => [1,-3,5,-2,4] => 6
[1,-4,-2,-5,3] => [2,-4,-1,-3,-5] => [-5,-3,-1,-4,2] => [-1,-3,-5,-2,4] => 4
[1,-4,-2,-5,-3] => [2,-4,1,-3,-5] => [-5,-3,1,-4,2] => [-1,-3,5,-2,4] => 5
[-1,4,2,5,3] => [-2,4,-1,3,5] => [5,3,-1,4,-2] => [1,3,-5,2,-4] => 6
[-1,4,2,5,-3] => [-2,4,1,3,5] => [5,3,1,4,-2] => [1,3,5,2,-4] => 7
[-1,4,2,-5,3] => [-2,4,-1,3,-5] => [-5,3,-1,4,-2] => [-1,3,-5,2,-4] => 5
[-1,4,2,-5,-3] => [-2,4,1,3,-5] => [-5,3,1,4,-2] => [-1,3,5,2,-4] => 6
[-1,4,-2,5,3] => [-2,-4,-1,3,5] => [5,3,-1,-4,-2] => [1,3,-5,-2,-4] => 7
[-1,4,-2,5,-3] => [-2,-4,1,3,5] => [5,3,1,-4,-2] => [1,3,5,-2,-4] => 8
[-1,4,-2,-5,3] => [-2,-4,-1,3,-5] => [-5,3,-1,-4,-2] => [-1,3,-5,-2,-4] => 6
[-1,4,-2,-5,-3] => [-2,-4,1,3,-5] => [-5,3,1,-4,-2] => [-1,3,5,-2,-4] => 7
[-1,-4,2,5,3] => [-2,4,-1,-3,5] => [5,-3,-1,4,-2] => [1,-3,-5,2,-4] => 5
[-1,-4,2,5,-3] => [-2,4,1,-3,5] => [5,-3,1,4,-2] => [1,-3,5,2,-4] => 6
[-1,-4,2,-5,3] => [-2,4,-1,-3,-5] => [-5,-3,-1,4,-2] => [-1,-3,-5,2,-4] => 4
[-1,-4,2,-5,-3] => [-2,4,1,-3,-5] => [-5,-3,1,4,-2] => [-1,-3,5,2,-4] => 5
[-1,-4,-2,5,3] => [-2,-4,-1,-3,5] => [5,-3,-1,-4,-2] => [1,-3,-5,-2,-4] => 6
[-1,-4,-2,5,-3] => [-2,-4,1,-3,5] => [5,-3,1,-4,-2] => [1,-3,5,-2,-4] => 7
[-1,-4,-2,-5,3] => [-2,-4,-1,-3,-5] => [-5,-3,-1,-4,-2] => [-1,-3,-5,-2,-4] => 5
[-1,-4,-2,-5,-3] => [-2,-4,1,-3,-5] => [-5,-3,1,-4,-2] => [-1,-3,5,-2,-4] => 6
[1,4,3,5,2] => [2,-1,4,3,5] => [5,3,4,-1,2] => [1,3,2,-5,4] => 5
[1,4,3,5,-2] => [2,1,4,3,5] => [5,3,4,1,2] => [1,3,2,5,4] => 6
[1,4,3,-5,2] => [2,-1,4,3,-5] => [-5,3,4,-1,2] => [-1,3,2,-5,4] => 4
[1,4,3,-5,-2] => [2,1,4,3,-5] => [-5,3,4,1,2] => [-1,3,2,5,4] => 5
[1,4,-3,5,2] => [2,-1,-4,3,5] => [5,3,-4,-1,2] => [1,3,-2,-5,4] => 6
[1,4,-3,5,-2] => [2,1,-4,3,5] => [5,3,-4,1,2] => [1,3,-2,5,4] => 7
[1,4,-3,-5,2] => [2,-1,-4,3,-5] => [-5,3,-4,-1,2] => [-1,3,-2,-5,4] => 5
[1,4,-3,-5,-2] => [2,1,-4,3,-5] => [-5,3,-4,1,2] => [-1,3,-2,5,4] => 6
[1,-4,3,5,2] => [2,-1,4,-3,5] => [5,-3,4,-1,2] => [1,-3,2,-5,4] => 4
[1,-4,3,5,-2] => [2,1,4,-3,5] => [5,-3,4,1,2] => [1,-3,2,5,4] => 5
[1,-4,3,-5,2] => [2,-1,4,-3,-5] => [-5,-3,4,-1,2] => [-1,-3,2,-5,4] => 3
[1,-4,3,-5,-2] => [2,1,4,-3,-5] => [-5,-3,4,1,2] => [-1,-3,2,5,4] => 4
[1,-4,-3,5,2] => [2,-1,-4,-3,5] => [5,-3,-4,-1,2] => [1,-3,-2,-5,4] => 5
[1,-4,-3,5,-2] => [2,1,-4,-3,5] => [5,-3,-4,1,2] => [1,-3,-2,5,4] => 6
[1,-4,-3,-5,2] => [2,-1,-4,-3,-5] => [-5,-3,-4,-1,2] => [-1,-3,-2,-5,4] => 4
[1,-4,-3,-5,-2] => [2,1,-4,-3,-5] => [-5,-3,-4,1,2] => [-1,-3,-2,5,4] => 5
[-1,4,3,5,2] => [-2,-1,4,3,5] => [5,3,4,-1,-2] => [1,3,2,-5,-4] => 6
[-1,4,3,5,-2] => [-2,1,4,3,5] => [5,3,4,1,-2] => [1,3,2,5,-4] => 7
[-1,4,3,-5,2] => [-2,-1,4,3,-5] => [-5,3,4,-1,-2] => [-1,3,2,-5,-4] => 5
[-1,4,3,-5,-2] => [-2,1,4,3,-5] => [-5,3,4,1,-2] => [-1,3,2,5,-4] => 6
[-1,4,-3,5,2] => [-2,-1,-4,3,5] => [5,3,-4,-1,-2] => [1,3,-2,-5,-4] => 7
[-1,4,-3,5,-2] => [-2,1,-4,3,5] => [5,3,-4,1,-2] => [1,3,-2,5,-4] => 8
[-1,4,-3,-5,2] => [-2,-1,-4,3,-5] => [-5,3,-4,-1,-2] => [-1,3,-2,-5,-4] => 6
[-1,4,-3,-5,-2] => [-2,1,-4,3,-5] => [-5,3,-4,1,-2] => [-1,3,-2,5,-4] => 7
[-1,-4,3,5,2] => [-2,-1,4,-3,5] => [5,-3,4,-1,-2] => [1,-3,2,-5,-4] => 5
[-1,-4,3,5,-2] => [-2,1,4,-3,5] => [5,-3,4,1,-2] => [1,-3,2,5,-4] => 6
[-1,-4,3,-5,2] => [-2,-1,4,-3,-5] => [-5,-3,4,-1,-2] => [-1,-3,2,-5,-4] => 4
[-1,-4,3,-5,-2] => [-2,1,4,-3,-5] => [-5,-3,4,1,-2] => [-1,-3,2,5,-4] => 5
[-1,-4,-3,5,2] => [-2,-1,-4,-3,5] => [5,-3,-4,-1,-2] => [1,-3,-2,-5,-4] => 6
[-1,-4,-3,5,-2] => [-2,1,-4,-3,5] => [5,-3,-4,1,-2] => [1,-3,-2,5,-4] => 7
[-1,-4,-3,-5,2] => [-2,-1,-4,-3,-5] => [-5,-3,-4,-1,-2] => [-1,-3,-2,-5,-4] => 5
[-1,-4,-3,-5,-2] => [-2,1,-4,-3,-5] => [-5,-3,-4,1,-2] => [-1,-3,-2,5,-4] => 6
[2,1,3,5,4] => [3,2,4,-1,5] => [5,-1,4,2,3] => [1,-5,2,4,3] => 5
[2,1,3,5,-4] => [3,2,4,1,5] => [5,1,4,2,3] => [1,5,2,4,3] => 6
[2,1,3,-5,4] => [3,2,4,-1,-5] => [-5,-1,4,2,3] => [-1,-5,2,4,3] => 4
[2,1,3,-5,-4] => [3,2,4,1,-5] => [-5,1,4,2,3] => [-1,5,2,4,3] => 5
[2,1,-3,5,4] => [3,2,-4,-1,5] => [5,-1,-4,2,3] => [1,-5,-2,4,3] => 6
[2,1,-3,5,-4] => [3,2,-4,1,5] => [5,1,-4,2,3] => [1,5,-2,4,3] => 7
[2,1,-3,-5,4] => [3,2,-4,-1,-5] => [-5,-1,-4,2,3] => [-1,-5,-2,4,3] => 5
[2,1,-3,-5,-4] => [3,2,-4,1,-5] => [-5,1,-4,2,3] => [-1,5,-2,4,3] => 6
[2,-1,3,5,4] => [-3,2,4,-1,5] => [5,-1,4,2,-3] => [1,-5,2,4,-3] => 6
[2,-1,3,5,-4] => [-3,2,4,1,5] => [5,1,4,2,-3] => [1,5,2,4,-3] => 7
[2,-1,3,-5,4] => [-3,2,4,-1,-5] => [-5,-1,4,2,-3] => [-1,-5,2,4,-3] => 5
[2,-1,3,-5,-4] => [-3,2,4,1,-5] => [-5,1,4,2,-3] => [-1,5,2,4,-3] => 6
[2,-1,-3,5,4] => [-3,2,-4,-1,5] => [5,-1,-4,2,-3] => [1,-5,-2,4,-3] => 7
[2,-1,-3,5,-4] => [-3,2,-4,1,5] => [5,1,-4,2,-3] => [1,5,-2,4,-3] => 8
[2,-1,-3,-5,4] => [-3,2,-4,-1,-5] => [-5,-1,-4,2,-3] => [-1,-5,-2,4,-3] => 6
[2,-1,-3,-5,-4] => [-3,2,-4,1,-5] => [-5,1,-4,2,-3] => [-1,5,-2,4,-3] => 7
[-2,1,3,5,4] => [3,-2,4,-1,5] => [5,-1,4,-2,3] => [1,-5,2,-4,3] => 4
[-2,1,3,5,-4] => [3,-2,4,1,5] => [5,1,4,-2,3] => [1,5,2,-4,3] => 5
[-2,1,3,-5,4] => [3,-2,4,-1,-5] => [-5,-1,4,-2,3] => [-1,-5,2,-4,3] => 3
[-2,1,3,-5,-4] => [3,-2,4,1,-5] => [-5,1,4,-2,3] => [-1,5,2,-4,3] => 4
[-2,1,-3,5,4] => [3,-2,-4,-1,5] => [5,-1,-4,-2,3] => [1,-5,-2,-4,3] => 5
[-2,1,-3,5,-4] => [3,-2,-4,1,5] => [5,1,-4,-2,3] => [1,5,-2,-4,3] => 6
[-2,1,-3,-5,4] => [3,-2,-4,-1,-5] => [-5,-1,-4,-2,3] => [-1,-5,-2,-4,3] => 4
[-2,1,-3,-5,-4] => [3,-2,-4,1,-5] => [-5,1,-4,-2,3] => [-1,5,-2,-4,3] => 5
[-2,-1,3,5,4] => [-3,-2,4,-1,5] => [5,-1,4,-2,-3] => [1,-5,2,-4,-3] => 5
[-2,-1,3,5,-4] => [-3,-2,4,1,5] => [5,1,4,-2,-3] => [1,5,2,-4,-3] => 6
[-2,-1,3,-5,4] => [-3,-2,4,-1,-5] => [-5,-1,4,-2,-3] => [-1,-5,2,-4,-3] => 4
[-2,-1,3,-5,-4] => [-3,-2,4,1,-5] => [-5,1,4,-2,-3] => [-1,5,2,-4,-3] => 5
[-2,-1,-3,5,4] => [-3,-2,-4,-1,5] => [5,-1,-4,-2,-3] => [1,-5,-2,-4,-3] => 6
[-2,-1,-3,5,-4] => [-3,-2,-4,1,5] => [5,1,-4,-2,-3] => [1,5,-2,-4,-3] => 7
[-2,-1,-3,-5,4] => [-3,-2,-4,-1,-5] => [-5,-1,-4,-2,-3] => [-1,-5,-2,-4,-3] => 5
[-2,-1,-3,-5,-4] => [-3,-2,-4,1,-5] => [-5,1,-4,-2,-3] => [-1,5,-2,-4,-3] => 6
[2,1,4,5,3] => [3,2,-1,4,5] => [5,4,-1,2,3] => [1,2,-5,4,3] => 7
[2,1,4,5,-3] => [3,2,1,4,5] => [5,4,1,2,3] => [1,2,5,4,3] => 8
[2,1,4,-5,3] => [3,2,-1,4,-5] => [-5,4,-1,2,3] => [-1,2,-5,4,3] => 6
[2,1,4,-5,-3] => [3,2,1,4,-5] => [-5,4,1,2,3] => [-1,2,5,4,3] => 7
[2,1,-4,5,3] => [3,2,-1,-4,5] => [5,-4,-1,2,3] => [1,-2,-5,4,3] => 6
[2,1,-4,5,-3] => [3,2,1,-4,5] => [5,-4,1,2,3] => [1,-2,5,4,3] => 7
[2,1,-4,-5,3] => [3,2,-1,-4,-5] => [-5,-4,-1,2,3] => [-1,-2,-5,4,3] => 5
[2,1,-4,-5,-3] => [3,2,1,-4,-5] => [-5,-4,1,2,3] => [-1,-2,5,4,3] => 6
[2,-1,4,5,3] => [-3,2,-1,4,5] => [5,4,-1,2,-3] => [1,2,-5,4,-3] => 8
[2,-1,4,5,-3] => [-3,2,1,4,5] => [5,4,1,2,-3] => [1,2,5,4,-3] => 9
[2,-1,4,-5,3] => [-3,2,-1,4,-5] => [-5,4,-1,2,-3] => [-1,2,-5,4,-3] => 7
[2,-1,4,-5,-3] => [-3,2,1,4,-5] => [-5,4,1,2,-3] => [-1,2,5,4,-3] => 8
[2,-1,-4,5,3] => [-3,2,-1,-4,5] => [5,-4,-1,2,-3] => [1,-2,-5,4,-3] => 7
[2,-1,-4,5,-3] => [-3,2,1,-4,5] => [5,-4,1,2,-3] => [1,-2,5,4,-3] => 8
[2,-1,-4,-5,3] => [-3,2,-1,-4,-5] => [-5,-4,-1,2,-3] => [-1,-2,-5,4,-3] => 6
[2,-1,-4,-5,-3] => [-3,2,1,-4,-5] => [-5,-4,1,2,-3] => [-1,-2,5,4,-3] => 7
[-2,1,4,5,3] => [3,-2,-1,4,5] => [5,4,-1,-2,3] => [1,2,-5,-4,3] => 6
[-2,1,4,5,-3] => [3,-2,1,4,5] => [5,4,1,-2,3] => [1,2,5,-4,3] => 7
[-2,1,4,-5,3] => [3,-2,-1,4,-5] => [-5,4,-1,-2,3] => [-1,2,-5,-4,3] => 5
[-2,1,4,-5,-3] => [3,-2,1,4,-5] => [-5,4,1,-2,3] => [-1,2,5,-4,3] => 6
[-2,1,-4,5,3] => [3,-2,-1,-4,5] => [5,-4,-1,-2,3] => [1,-2,-5,-4,3] => 5
[-2,1,-4,5,-3] => [3,-2,1,-4,5] => [5,-4,1,-2,3] => [1,-2,5,-4,3] => 6
[-2,1,-4,-5,3] => [3,-2,-1,-4,-5] => [-5,-4,-1,-2,3] => [-1,-2,-5,-4,3] => 4
[-2,1,-4,-5,-3] => [3,-2,1,-4,-5] => [-5,-4,1,-2,3] => [-1,-2,5,-4,3] => 5
[-2,-1,4,5,3] => [-3,-2,-1,4,5] => [5,4,-1,-2,-3] => [1,2,-5,-4,-3] => 7
[-2,-1,4,5,-3] => [-3,-2,1,4,5] => [5,4,1,-2,-3] => [1,2,5,-4,-3] => 8
[-2,-1,4,-5,3] => [-3,-2,-1,4,-5] => [-5,4,-1,-2,-3] => [-1,2,-5,-4,-3] => 6
[-2,-1,4,-5,-3] => [-3,-2,1,4,-5] => [-5,4,1,-2,-3] => [-1,2,5,-4,-3] => 7
[-2,-1,-4,5,3] => [-3,-2,-1,-4,5] => [5,-4,-1,-2,-3] => [1,-2,-5,-4,-3] => 6
[-2,-1,-4,5,-3] => [-3,-2,1,-4,5] => [5,-4,1,-2,-3] => [1,-2,5,-4,-3] => 7
[-2,-1,-4,-5,3] => [-3,-2,-1,-4,-5] => [-5,-4,-1,-2,-3] => [-1,-2,-5,-4,-3] => 5
[-2,-1,-4,-5,-3] => [-3,-2,1,-4,-5] => [-5,-4,1,-2,-3] => [-1,-2,5,-4,-3] => 6
[2,3,1,5,4] => [4,2,3,-1,5] => [5,-1,3,2,4] => [1,-5,3,4,2] => 7
[2,3,1,5,-4] => [4,2,3,1,5] => [5,1,3,2,4] => [1,5,3,4,2] => 8
[2,3,1,-5,4] => [4,2,3,-1,-5] => [-5,-1,3,2,4] => [-1,-5,3,4,2] => 6
[2,3,1,-5,-4] => [4,2,3,1,-5] => [-5,1,3,2,4] => [-1,5,3,4,2] => 7
[2,3,-1,5,4] => [-4,2,3,-1,5] => [5,-1,3,2,-4] => [1,-5,3,4,-2] => 8
[2,3,-1,5,-4] => [-4,2,3,1,5] => [5,1,3,2,-4] => [1,5,3,4,-2] => 9
[2,3,-1,-5,4] => [-4,2,3,-1,-5] => [-5,-1,3,2,-4] => [-1,-5,3,4,-2] => 7
[2,3,-1,-5,-4] => [-4,2,3,1,-5] => [-5,1,3,2,-4] => [-1,5,3,4,-2] => 8
[2,-3,1,5,4] => [4,2,-3,-1,5] => [5,-1,-3,2,4] => [1,-5,-3,4,2] => 6
[2,-3,1,5,-4] => [4,2,-3,1,5] => [5,1,-3,2,4] => [1,5,-3,4,2] => 7
[2,-3,1,-5,4] => [4,2,-3,-1,-5] => [-5,-1,-3,2,4] => [-1,-5,-3,4,2] => 5
[2,-3,1,-5,-4] => [4,2,-3,1,-5] => [-5,1,-3,2,4] => [-1,5,-3,4,2] => 6
[2,-3,-1,5,4] => [-4,2,-3,-1,5] => [5,-1,-3,2,-4] => [1,-5,-3,4,-2] => 7
[2,-3,-1,5,-4] => [-4,2,-3,1,5] => [5,1,-3,2,-4] => [1,5,-3,4,-2] => 8
[2,-3,-1,-5,4] => [-4,2,-3,-1,-5] => [-5,-1,-3,2,-4] => [-1,-5,-3,4,-2] => 6
[2,-3,-1,-5,-4] => [-4,2,-3,1,-5] => [-5,1,-3,2,-4] => [-1,5,-3,4,-2] => 7
[-2,3,1,5,4] => [4,-2,3,-1,5] => [5,-1,3,-2,4] => [1,-5,3,-4,2] => 6
[-2,3,1,5,-4] => [4,-2,3,1,5] => [5,1,3,-2,4] => [1,5,3,-4,2] => 7
[-2,3,1,-5,4] => [4,-2,3,-1,-5] => [-5,-1,3,-2,4] => [-1,-5,3,-4,2] => 5
[-2,3,1,-5,-4] => [4,-2,3,1,-5] => [-5,1,3,-2,4] => [-1,5,3,-4,2] => 6
[-2,3,-1,5,4] => [-4,-2,3,-1,5] => [5,-1,3,-2,-4] => [1,-5,3,-4,-2] => 7
[-2,3,-1,5,-4] => [-4,-2,3,1,5] => [5,1,3,-2,-4] => [1,5,3,-4,-2] => 8
[-2,3,-1,-5,4] => [-4,-2,3,-1,-5] => [-5,-1,3,-2,-4] => [-1,-5,3,-4,-2] => 6
[-2,3,-1,-5,-4] => [-4,-2,3,1,-5] => [-5,1,3,-2,-4] => [-1,5,3,-4,-2] => 7
[-2,-3,1,5,4] => [4,-2,-3,-1,5] => [5,-1,-3,-2,4] => [1,-5,-3,-4,2] => 5
[-2,-3,1,5,-4] => [4,-2,-3,1,5] => [5,1,-3,-2,4] => [1,5,-3,-4,2] => 6
[-2,-3,1,-5,4] => [4,-2,-3,-1,-5] => [-5,-1,-3,-2,4] => [-1,-5,-3,-4,2] => 4
[-2,-3,1,-5,-4] => [4,-2,-3,1,-5] => [-5,1,-3,-2,4] => [-1,5,-3,-4,2] => 5
[-2,-3,-1,5,4] => [-4,-2,-3,-1,5] => [5,-1,-3,-2,-4] => [1,-5,-3,-4,-2] => 6
[-2,-3,-1,5,-4] => [-4,-2,-3,1,5] => [5,1,-3,-2,-4] => [1,5,-3,-4,-2] => 7
[-2,-3,-1,-5,4] => [-4,-2,-3,-1,-5] => [-5,-1,-3,-2,-4] => [-1,-5,-3,-4,-2] => 5
[-2,-3,-1,-5,-4] => [-4,-2,-3,1,-5] => [-5,1,-3,-2,-4] => [-1,5,-3,-4,-2] => 6
[2,3,4,5,1] => [-1,2,3,4,5] => [5,4,3,2,-1] => [1,2,3,4,-5] => 9
[2,3,4,5,-1] => [1,2,3,4,5] => [5,4,3,2,1] => [1,2,3,4,5] => 10
[2,3,4,-5,1] => [-1,2,3,4,-5] => [-5,4,3,2,-1] => [-1,2,3,4,-5] => 8
[2,3,4,-5,-1] => [1,2,3,4,-5] => [-5,4,3,2,1] => [-1,2,3,4,5] => 9
[2,3,-4,5,1] => [-1,2,3,-4,5] => [5,-4,3,2,-1] => [1,-2,3,4,-5] => 8
[2,3,-4,5,-1] => [1,2,3,-4,5] => [5,-4,3,2,1] => [1,-2,3,4,5] => 9
[2,3,-4,-5,1] => [-1,2,3,-4,-5] => [-5,-4,3,2,-1] => [-1,-2,3,4,-5] => 7
[2,3,-4,-5,-1] => [1,2,3,-4,-5] => [-5,-4,3,2,1] => [-1,-2,3,4,5] => 8
[2,-3,4,5,1] => [-1,2,-3,4,5] => [5,4,-3,2,-1] => [1,2,-3,4,-5] => 8
[2,-3,4,5,-1] => [1,2,-3,4,5] => [5,4,-3,2,1] => [1,2,-3,4,5] => 9
[2,-3,4,-5,1] => [-1,2,-3,4,-5] => [-5,4,-3,2,-1] => [-1,2,-3,4,-5] => 7
[2,-3,4,-5,-1] => [1,2,-3,4,-5] => [-5,4,-3,2,1] => [-1,2,-3,4,5] => 8
[2,-3,-4,5,1] => [-1,2,-3,-4,5] => [5,-4,-3,2,-1] => [1,-2,-3,4,-5] => 7
[2,-3,-4,5,-1] => [1,2,-3,-4,5] => [5,-4,-3,2,1] => [1,-2,-3,4,5] => 8
[2,-3,-4,-5,1] => [-1,2,-3,-4,-5] => [-5,-4,-3,2,-1] => [-1,-2,-3,4,-5] => 6
[2,-3,-4,-5,-1] => [1,2,-3,-4,-5] => [-5,-4,-3,2,1] => [-1,-2,-3,4,5] => 7
[-2,3,4,5,1] => [-1,-2,3,4,5] => [5,4,3,-2,-1] => [1,2,3,-4,-5] => 8
[-2,3,4,5,-1] => [1,-2,3,4,5] => [5,4,3,-2,1] => [1,2,3,-4,5] => 9
[-2,3,4,-5,1] => [-1,-2,3,4,-5] => [-5,4,3,-2,-1] => [-1,2,3,-4,-5] => 7
[-2,3,4,-5,-1] => [1,-2,3,4,-5] => [-5,4,3,-2,1] => [-1,2,3,-4,5] => 8
[-2,3,-4,5,1] => [-1,-2,3,-4,5] => [5,-4,3,-2,-1] => [1,-2,3,-4,-5] => 7
[-2,3,-4,5,-1] => [1,-2,3,-4,5] => [5,-4,3,-2,1] => [1,-2,3,-4,5] => 8
[-2,3,-4,-5,1] => [-1,-2,3,-4,-5] => [-5,-4,3,-2,-1] => [-1,-2,3,-4,-5] => 6
[-2,3,-4,-5,-1] => [1,-2,3,-4,-5] => [-5,-4,3,-2,1] => [-1,-2,3,-4,5] => 7
[-2,-3,4,5,1] => [-1,-2,-3,4,5] => [5,4,-3,-2,-1] => [1,2,-3,-4,-5] => 7
[-2,-3,4,5,-1] => [1,-2,-3,4,5] => [5,4,-3,-2,1] => [1,2,-3,-4,5] => 8
[-2,-3,4,-5,1] => [-1,-2,-3,4,-5] => [-5,4,-3,-2,-1] => [-1,2,-3,-4,-5] => 6
[-2,-3,4,-5,-1] => [1,-2,-3,4,-5] => [-5,4,-3,-2,1] => [-1,2,-3,-4,5] => 7
[-2,-3,-4,5,1] => [-1,-2,-3,-4,5] => [5,-4,-3,-2,-1] => [1,-2,-3,-4,-5] => 6
[-2,-3,-4,5,-1] => [1,-2,-3,-4,5] => [5,-4,-3,-2,1] => [1,-2,-3,-4,5] => 7
[-2,-3,-4,-5,1] => [-1,-2,-3,-4,-5] => [-5,-4,-3,-2,-1] => [-1,-2,-3,-4,-5] => 5
[-2,-3,-4,-5,-1] => [1,-2,-3,-4,-5] => [-5,-4,-3,-2,1] => [-1,-2,-3,-4,5] => 6
[2,4,1,5,3] => [4,2,-1,3,5] => [5,3,-1,2,4] => [1,3,-5,4,2] => 7
[2,4,1,5,-3] => [4,2,1,3,5] => [5,3,1,2,4] => [1,3,5,4,2] => 8
[2,4,1,-5,3] => [4,2,-1,3,-5] => [-5,3,-1,2,4] => [-1,3,-5,4,2] => 6
[2,4,1,-5,-3] => [4,2,1,3,-5] => [-5,3,1,2,4] => [-1,3,5,4,2] => 7
[2,4,-1,5,3] => [-4,2,-1,3,5] => [5,3,-1,2,-4] => [1,3,-5,4,-2] => 8
[2,4,-1,5,-3] => [-4,2,1,3,5] => [5,3,1,2,-4] => [1,3,5,4,-2] => 9
[2,4,-1,-5,3] => [-4,2,-1,3,-5] => [-5,3,-1,2,-4] => [-1,3,-5,4,-2] => 7
[2,4,-1,-5,-3] => [-4,2,1,3,-5] => [-5,3,1,2,-4] => [-1,3,5,4,-2] => 8
[2,-4,1,5,3] => [4,2,-1,-3,5] => [5,-3,-1,2,4] => [1,-3,-5,4,2] => 6
[2,-4,1,5,-3] => [4,2,1,-3,5] => [5,-3,1,2,4] => [1,-3,5,4,2] => 7
[2,-4,1,-5,3] => [4,2,-1,-3,-5] => [-5,-3,-1,2,4] => [-1,-3,-5,4,2] => 5
[2,-4,1,-5,-3] => [4,2,1,-3,-5] => [-5,-3,1,2,4] => [-1,-3,5,4,2] => 6
[2,-4,-1,5,3] => [-4,2,-1,-3,5] => [5,-3,-1,2,-4] => [1,-3,-5,4,-2] => 7
[2,-4,-1,5,-3] => [-4,2,1,-3,5] => [5,-3,1,2,-4] => [1,-3,5,4,-2] => 8
[2,-4,-1,-5,3] => [-4,2,-1,-3,-5] => [-5,-3,-1,2,-4] => [-1,-3,-5,4,-2] => 6
[2,-4,-1,-5,-3] => [-4,2,1,-3,-5] => [-5,-3,1,2,-4] => [-1,-3,5,4,-2] => 7
[-2,4,1,5,3] => [4,-2,-1,3,5] => [5,3,-1,-2,4] => [1,3,-5,-4,2] => 6
[-2,4,1,5,-3] => [4,-2,1,3,5] => [5,3,1,-2,4] => [1,3,5,-4,2] => 7
[-2,4,1,-5,3] => [4,-2,-1,3,-5] => [-5,3,-1,-2,4] => [-1,3,-5,-4,2] => 5
[-2,4,1,-5,-3] => [4,-2,1,3,-5] => [-5,3,1,-2,4] => [-1,3,5,-4,2] => 6
[-2,4,-1,5,3] => [-4,-2,-1,3,5] => [5,3,-1,-2,-4] => [1,3,-5,-4,-2] => 7
[-2,4,-1,5,-3] => [-4,-2,1,3,5] => [5,3,1,-2,-4] => [1,3,5,-4,-2] => 8
[-2,4,-1,-5,3] => [-4,-2,-1,3,-5] => [-5,3,-1,-2,-4] => [-1,3,-5,-4,-2] => 6
[-2,4,-1,-5,-3] => [-4,-2,1,3,-5] => [-5,3,1,-2,-4] => [-1,3,5,-4,-2] => 7
[-2,-4,1,5,3] => [4,-2,-1,-3,5] => [5,-3,-1,-2,4] => [1,-3,-5,-4,2] => 5
[-2,-4,1,5,-3] => [4,-2,1,-3,5] => [5,-3,1,-2,4] => [1,-3,5,-4,2] => 6
[-2,-4,1,-5,3] => [4,-2,-1,-3,-5] => [-5,-3,-1,-2,4] => [-1,-3,-5,-4,2] => 4
[-2,-4,1,-5,-3] => [4,-2,1,-3,-5] => [-5,-3,1,-2,4] => [-1,-3,5,-4,2] => 5
[-2,-4,-1,5,3] => [-4,-2,-1,-3,5] => [5,-3,-1,-2,-4] => [1,-3,-5,-4,-2] => 6
[-2,-4,-1,5,-3] => [-4,-2,1,-3,5] => [5,-3,1,-2,-4] => [1,-3,5,-4,-2] => 7
[-2,-4,-1,-5,3] => [-4,-2,-1,-3,-5] => [-5,-3,-1,-2,-4] => [-1,-3,-5,-4,-2] => 5
[-2,-4,-1,-5,-3] => [-4,-2,1,-3,-5] => [-5,-3,1,-2,-4] => [-1,-3,5,-4,-2] => 6
[2,4,3,5,1] => [-1,2,4,3,5] => [5,3,4,2,-1] => [1,3,2,4,-5] => 7
[2,4,3,5,-1] => [1,2,4,3,5] => [5,3,4,2,1] => [1,3,2,4,5] => 8
[2,4,3,-5,1] => [-1,2,4,3,-5] => [-5,3,4,2,-1] => [-1,3,2,4,-5] => 6
[2,4,3,-5,-1] => [1,2,4,3,-5] => [-5,3,4,2,1] => [-1,3,2,4,5] => 7
[2,4,-3,5,1] => [-1,2,-4,3,5] => [5,3,-4,2,-1] => [1,3,-2,4,-5] => 8
[2,4,-3,5,-1] => [1,2,-4,3,5] => [5,3,-4,2,1] => [1,3,-2,4,5] => 9
[2,4,-3,-5,1] => [-1,2,-4,3,-5] => [-5,3,-4,2,-1] => [-1,3,-2,4,-5] => 7
[2,4,-3,-5,-1] => [1,2,-4,3,-5] => [-5,3,-4,2,1] => [-1,3,-2,4,5] => 8
[2,-4,3,5,1] => [-1,2,4,-3,5] => [5,-3,4,2,-1] => [1,-3,2,4,-5] => 6
[2,-4,3,5,-1] => [1,2,4,-3,5] => [5,-3,4,2,1] => [1,-3,2,4,5] => 7
[2,-4,3,-5,1] => [-1,2,4,-3,-5] => [-5,-3,4,2,-1] => [-1,-3,2,4,-5] => 5
[2,-4,3,-5,-1] => [1,2,4,-3,-5] => [-5,-3,4,2,1] => [-1,-3,2,4,5] => 6
[2,-4,-3,5,1] => [-1,2,-4,-3,5] => [5,-3,-4,2,-1] => [1,-3,-2,4,-5] => 7
[2,-4,-3,5,-1] => [1,2,-4,-3,5] => [5,-3,-4,2,1] => [1,-3,-2,4,5] => 8
[2,-4,-3,-5,1] => [-1,2,-4,-3,-5] => [-5,-3,-4,2,-1] => [-1,-3,-2,4,-5] => 6
[2,-4,-3,-5,-1] => [1,2,-4,-3,-5] => [-5,-3,-4,2,1] => [-1,-3,-2,4,5] => 7
[-2,4,3,5,1] => [-1,-2,4,3,5] => [5,3,4,-2,-1] => [1,3,2,-4,-5] => 6
[-2,4,3,5,-1] => [1,-2,4,3,5] => [5,3,4,-2,1] => [1,3,2,-4,5] => 7
[-2,4,3,-5,1] => [-1,-2,4,3,-5] => [-5,3,4,-2,-1] => [-1,3,2,-4,-5] => 5
[-2,4,3,-5,-1] => [1,-2,4,3,-5] => [-5,3,4,-2,1] => [-1,3,2,-4,5] => 6
[-2,4,-3,5,1] => [-1,-2,-4,3,5] => [5,3,-4,-2,-1] => [1,3,-2,-4,-5] => 7
[-2,4,-3,5,-1] => [1,-2,-4,3,5] => [5,3,-4,-2,1] => [1,3,-2,-4,5] => 8
[-2,4,-3,-5,1] => [-1,-2,-4,3,-5] => [-5,3,-4,-2,-1] => [-1,3,-2,-4,-5] => 6
[-2,4,-3,-5,-1] => [1,-2,-4,3,-5] => [-5,3,-4,-2,1] => [-1,3,-2,-4,5] => 7
[-2,-4,3,5,1] => [-1,-2,4,-3,5] => [5,-3,4,-2,-1] => [1,-3,2,-4,-5] => 5
[-2,-4,3,5,-1] => [1,-2,4,-3,5] => [5,-3,4,-2,1] => [1,-3,2,-4,5] => 6
[-2,-4,3,-5,1] => [-1,-2,4,-3,-5] => [-5,-3,4,-2,-1] => [-1,-3,2,-4,-5] => 4
[-2,-4,3,-5,-1] => [1,-2,4,-3,-5] => [-5,-3,4,-2,1] => [-1,-3,2,-4,5] => 5
[-2,-4,-3,5,1] => [-1,-2,-4,-3,5] => [5,-3,-4,-2,-1] => [1,-3,-2,-4,-5] => 6
[-2,-4,-3,5,-1] => [1,-2,-4,-3,5] => [5,-3,-4,-2,1] => [1,-3,-2,-4,5] => 7
[-2,-4,-3,-5,1] => [-1,-2,-4,-3,-5] => [-5,-3,-4,-2,-1] => [-1,-3,-2,-4,-5] => 5
[-2,-4,-3,-5,-1] => [1,-2,-4,-3,-5] => [-5,-3,-4,-2,1] => [-1,-3,-2,-4,5] => 6
[3,1,2,5,4] => [3,4,2,-1,5] => [5,-1,2,4,3] => [1,-5,4,2,3] => 5
[3,1,2,5,-4] => [3,4,2,1,5] => [5,1,2,4,3] => [1,5,4,2,3] => 6
[3,1,2,-5,4] => [3,4,2,-1,-5] => [-5,-1,2,4,3] => [-1,-5,4,2,3] => 4
[3,1,2,-5,-4] => [3,4,2,1,-5] => [-5,1,2,4,3] => [-1,5,4,2,3] => 5
[3,1,-2,5,4] => [3,-4,2,-1,5] => [5,-1,2,-4,3] => [1,-5,4,-2,3] => 6
[3,1,-2,5,-4] => [3,-4,2,1,5] => [5,1,2,-4,3] => [1,5,4,-2,3] => 7
[3,1,-2,-5,4] => [3,-4,2,-1,-5] => [-5,-1,2,-4,3] => [-1,-5,4,-2,3] => 5
[3,1,-2,-5,-4] => [3,-4,2,1,-5] => [-5,1,2,-4,3] => [-1,5,4,-2,3] => 6
[3,-1,2,5,4] => [-3,4,2,-1,5] => [5,-1,2,4,-3] => [1,-5,4,2,-3] => 6
[3,-1,2,5,-4] => [-3,4,2,1,5] => [5,1,2,4,-3] => [1,5,4,2,-3] => 7
[3,-1,2,-5,4] => [-3,4,2,-1,-5] => [-5,-1,2,4,-3] => [-1,-5,4,2,-3] => 5
[3,-1,2,-5,-4] => [-3,4,2,1,-5] => [-5,1,2,4,-3] => [-1,5,4,2,-3] => 6
[3,-1,-2,5,4] => [-3,-4,2,-1,5] => [5,-1,2,-4,-3] => [1,-5,4,-2,-3] => 7
[3,-1,-2,5,-4] => [-3,-4,2,1,5] => [5,1,2,-4,-3] => [1,5,4,-2,-3] => 8
[3,-1,-2,-5,4] => [-3,-4,2,-1,-5] => [-5,-1,2,-4,-3] => [-1,-5,4,-2,-3] => 6
[3,-1,-2,-5,-4] => [-3,-4,2,1,-5] => [-5,1,2,-4,-3] => [-1,5,4,-2,-3] => 7
[-3,1,2,5,4] => [3,4,-2,-1,5] => [5,-1,-2,4,3] => [1,-5,-4,2,3] => 4
[-3,1,2,5,-4] => [3,4,-2,1,5] => [5,1,-2,4,3] => [1,5,-4,2,3] => 5
[-3,1,2,-5,4] => [3,4,-2,-1,-5] => [-5,-1,-2,4,3] => [-1,-5,-4,2,3] => 3
[-3,1,2,-5,-4] => [3,4,-2,1,-5] => [-5,1,-2,4,3] => [-1,5,-4,2,3] => 4
[-3,1,-2,5,4] => [3,-4,-2,-1,5] => [5,-1,-2,-4,3] => [1,-5,-4,-2,3] => 5
[-3,1,-2,5,-4] => [3,-4,-2,1,5] => [5,1,-2,-4,3] => [1,5,-4,-2,3] => 6
[-3,1,-2,-5,4] => [3,-4,-2,-1,-5] => [-5,-1,-2,-4,3] => [-1,-5,-4,-2,3] => 4
[-3,1,-2,-5,-4] => [3,-4,-2,1,-5] => [-5,1,-2,-4,3] => [-1,5,-4,-2,3] => 5
[-3,-1,2,5,4] => [-3,4,-2,-1,5] => [5,-1,-2,4,-3] => [1,-5,-4,2,-3] => 5
[-3,-1,2,5,-4] => [-3,4,-2,1,5] => [5,1,-2,4,-3] => [1,5,-4,2,-3] => 6
[-3,-1,2,-5,4] => [-3,4,-2,-1,-5] => [-5,-1,-2,4,-3] => [-1,-5,-4,2,-3] => 4
[-3,-1,2,-5,-4] => [-3,4,-2,1,-5] => [-5,1,-2,4,-3] => [-1,5,-4,2,-3] => 5
[-3,-1,-2,5,4] => [-3,-4,-2,-1,5] => [5,-1,-2,-4,-3] => [1,-5,-4,-2,-3] => 6
[-3,-1,-2,5,-4] => [-3,-4,-2,1,5] => [5,1,-2,-4,-3] => [1,5,-4,-2,-3] => 7
[-3,-1,-2,-5,4] => [-3,-4,-2,-1,-5] => [-5,-1,-2,-4,-3] => [-1,-5,-4,-2,-3] => 5
[-3,-1,-2,-5,-4] => [-3,-4,-2,1,-5] => [-5,1,-2,-4,-3] => [-1,5,-4,-2,-3] => 6
[3,1,4,5,2] => [3,-1,2,4,5] => [5,4,2,-1,3] => [1,2,4,-5,3] => 7
[3,1,4,5,-2] => [3,1,2,4,5] => [5,4,2,1,3] => [1,2,4,5,3] => 8
[3,1,4,-5,2] => [3,-1,2,4,-5] => [-5,4,2,-1,3] => [-1,2,4,-5,3] => 6
[3,1,4,-5,-2] => [3,1,2,4,-5] => [-5,4,2,1,3] => [-1,2,4,5,3] => 7
[3,1,-4,5,2] => [3,-1,2,-4,5] => [5,-4,2,-1,3] => [1,-2,4,-5,3] => 6
[3,1,-4,5,-2] => [3,1,2,-4,5] => [5,-4,2,1,3] => [1,-2,4,5,3] => 7
[3,1,-4,-5,2] => [3,-1,2,-4,-5] => [-5,-4,2,-1,3] => [-1,-2,4,-5,3] => 5
[3,1,-4,-5,-2] => [3,1,2,-4,-5] => [-5,-4,2,1,3] => [-1,-2,4,5,3] => 6
[3,-1,4,5,2] => [-3,-1,2,4,5] => [5,4,2,-1,-3] => [1,2,4,-5,-3] => 8
[3,-1,4,5,-2] => [-3,1,2,4,5] => [5,4,2,1,-3] => [1,2,4,5,-3] => 9
[3,-1,4,-5,2] => [-3,-1,2,4,-5] => [-5,4,2,-1,-3] => [-1,2,4,-5,-3] => 7
[3,-1,4,-5,-2] => [-3,1,2,4,-5] => [-5,4,2,1,-3] => [-1,2,4,5,-3] => 8
[3,-1,-4,5,2] => [-3,-1,2,-4,5] => [5,-4,2,-1,-3] => [1,-2,4,-5,-3] => 7
[3,-1,-4,5,-2] => [-3,1,2,-4,5] => [5,-4,2,1,-3] => [1,-2,4,5,-3] => 8
[3,-1,-4,-5,2] => [-3,-1,2,-4,-5] => [-5,-4,2,-1,-3] => [-1,-2,4,-5,-3] => 6
[3,-1,-4,-5,-2] => [-3,1,2,-4,-5] => [-5,-4,2,1,-3] => [-1,-2,4,5,-3] => 7
[-3,1,4,5,2] => [3,-1,-2,4,5] => [5,4,-2,-1,3] => [1,2,-4,-5,3] => 6
[-3,1,4,5,-2] => [3,1,-2,4,5] => [5,4,-2,1,3] => [1,2,-4,5,3] => 7
[-3,1,4,-5,2] => [3,-1,-2,4,-5] => [-5,4,-2,-1,3] => [-1,2,-4,-5,3] => 5
[-3,1,4,-5,-2] => [3,1,-2,4,-5] => [-5,4,-2,1,3] => [-1,2,-4,5,3] => 6
[-3,1,-4,5,2] => [3,-1,-2,-4,5] => [5,-4,-2,-1,3] => [1,-2,-4,-5,3] => 5
[-3,1,-4,5,-2] => [3,1,-2,-4,5] => [5,-4,-2,1,3] => [1,-2,-4,5,3] => 6
[-3,1,-4,-5,2] => [3,-1,-2,-4,-5] => [-5,-4,-2,-1,3] => [-1,-2,-4,-5,3] => 4
[-3,1,-4,-5,-2] => [3,1,-2,-4,-5] => [-5,-4,-2,1,3] => [-1,-2,-4,5,3] => 5
[-3,-1,4,5,2] => [-3,-1,-2,4,5] => [5,4,-2,-1,-3] => [1,2,-4,-5,-3] => 7
[-3,-1,4,5,-2] => [-3,1,-2,4,5] => [5,4,-2,1,-3] => [1,2,-4,5,-3] => 8
[-3,-1,4,-5,2] => [-3,-1,-2,4,-5] => [-5,4,-2,-1,-3] => [-1,2,-4,-5,-3] => 6
[-3,-1,4,-5,-2] => [-3,1,-2,4,-5] => [-5,4,-2,1,-3] => [-1,2,-4,5,-3] => 7
[-3,-1,-4,5,2] => [-3,-1,-2,-4,5] => [5,-4,-2,-1,-3] => [1,-2,-4,-5,-3] => 6
[-3,-1,-4,5,-2] => [-3,1,-2,-4,5] => [5,-4,-2,1,-3] => [1,-2,-4,5,-3] => 7
[-3,-1,-4,-5,2] => [-3,-1,-2,-4,-5] => [-5,-4,-2,-1,-3] => [-1,-2,-4,-5,-3] => 5
[-3,-1,-4,-5,-2] => [-3,1,-2,-4,-5] => [-5,-4,-2,1,-3] => [-1,-2,-4,5,-3] => 6
[3,2,1,5,4] => [4,3,2,-1,5] => [5,-1,2,3,4] => [1,-5,4,3,2] => 5
[3,2,1,5,-4] => [4,3,2,1,5] => [5,1,2,3,4] => [1,5,4,3,2] => 6
[3,2,1,-5,-4] => [4,3,2,1,-5] => [-5,1,2,3,4] => [-1,5,4,3,2] => 5
[3,2,-1,5,4] => [-4,3,2,-1,5] => [5,-1,2,3,-4] => [1,-5,4,3,-2] => 6
[3,2,-1,5,-4] => [-4,3,2,1,5] => [5,1,2,3,-4] => [1,5,4,3,-2] => 7
[3,2,-1,-5,-4] => [-4,3,2,1,-5] => [-5,1,2,3,-4] => [-1,5,4,3,-2] => 6
[3,-2,1,5,4] => [4,-3,2,-1,5] => [5,-1,2,-3,4] => [1,-5,4,-3,2] => 6
[3,-2,1,5,-4] => [4,-3,2,1,5] => [5,1,2,-3,4] => [1,5,4,-3,2] => 7
[3,-2,1,-5,-4] => [4,-3,2,1,-5] => [-5,1,2,-3,4] => [-1,5,4,-3,2] => 6
[3,-2,-1,5,4] => [-4,-3,2,-1,5] => [5,-1,2,-3,-4] => [1,-5,4,-3,-2] => 7
[3,-2,-1,5,-4] => [-4,-3,2,1,5] => [5,1,2,-3,-4] => [1,5,4,-3,-2] => 8
[3,-2,-1,-5,-4] => [-4,-3,2,1,-5] => [-5,1,2,-3,-4] => [-1,5,4,-3,-2] => 7
[-3,2,1,5,4] => [4,3,-2,-1,5] => [5,-1,-2,3,4] => [1,-5,-4,3,2] => 4
[-3,2,1,5,-4] => [4,3,-2,1,5] => [5,1,-2,3,4] => [1,5,-4,3,2] => 5
[-3,2,1,-5,-4] => [4,3,-2,1,-5] => [-5,1,-2,3,4] => [-1,5,-4,3,2] => 4
[-3,2,-1,5,4] => [-4,3,-2,-1,5] => [5,-1,-2,3,-4] => [1,-5,-4,3,-2] => 5
[-3,2,-1,5,-4] => [-4,3,-2,1,5] => [5,1,-2,3,-4] => [1,5,-4,3,-2] => 6
[-3,2,-1,-5,-4] => [-4,3,-2,1,-5] => [-5,1,-2,3,-4] => [-1,5,-4,3,-2] => 5
[-3,-2,1,5,4] => [4,-3,-2,-1,5] => [5,-1,-2,-3,4] => [1,-5,-4,-3,2] => 5
[-3,-2,1,5,-4] => [4,-3,-2,1,5] => [5,1,-2,-3,4] => [1,5,-4,-3,2] => 6
[-3,-2,-1,5,4] => [-4,-3,-2,-1,5] => [5,-1,-2,-3,-4] => [1,-5,-4,-3,-2] => 6
[-3,-2,-1,5,-4] => [-4,-3,-2,1,5] => [5,1,-2,-3,-4] => [1,5,-4,-3,-2] => 7
[3,2,4,5,1] => [-1,3,2,4,5] => [5,4,2,3,-1] => [1,2,4,3,-5] => 7
[3,2,4,5,-1] => [1,3,2,4,5] => [5,4,2,3,1] => [1,2,4,3,5] => 8
[3,2,4,-5,1] => [-1,3,2,4,-5] => [-5,4,2,3,-1] => [-1,2,4,3,-5] => 6
[3,2,4,-5,-1] => [1,3,2,4,-5] => [-5,4,2,3,1] => [-1,2,4,3,5] => 7
[3,2,-4,5,1] => [-1,3,2,-4,5] => [5,-4,2,3,-1] => [1,-2,4,3,-5] => 6
[3,2,-4,5,-1] => [1,3,2,-4,5] => [5,-4,2,3,1] => [1,-2,4,3,5] => 7
[3,2,-4,-5,1] => [-1,3,2,-4,-5] => [-5,-4,2,3,-1] => [-1,-2,4,3,-5] => 5
[3,2,-4,-5,-1] => [1,3,2,-4,-5] => [-5,-4,2,3,1] => [-1,-2,4,3,5] => 6
[3,-2,4,5,1] => [-1,-3,2,4,5] => [5,4,2,-3,-1] => [1,2,4,-3,-5] => 8
[3,-2,4,5,-1] => [1,-3,2,4,5] => [5,4,2,-3,1] => [1,2,4,-3,5] => 9
[3,-2,4,-5,1] => [-1,-3,2,4,-5] => [-5,4,2,-3,-1] => [-1,2,4,-3,-5] => 7
[3,-2,4,-5,-1] => [1,-3,2,4,-5] => [-5,4,2,-3,1] => [-1,2,4,-3,5] => 8
[3,-2,-4,5,1] => [-1,-3,2,-4,5] => [5,-4,2,-3,-1] => [1,-2,4,-3,-5] => 7
[3,-2,-4,5,-1] => [1,-3,2,-4,5] => [5,-4,2,-3,1] => [1,-2,4,-3,5] => 8
[3,-2,-4,-5,1] => [-1,-3,2,-4,-5] => [-5,-4,2,-3,-1] => [-1,-2,4,-3,-5] => 6
[3,-2,-4,-5,-1] => [1,-3,2,-4,-5] => [-5,-4,2,-3,1] => [-1,-2,4,-3,5] => 7
[-3,2,4,5,1] => [-1,3,-2,4,5] => [5,4,-2,3,-1] => [1,2,-4,3,-5] => 6
[-3,2,4,5,-1] => [1,3,-2,4,5] => [5,4,-2,3,1] => [1,2,-4,3,5] => 7
[-3,2,4,-5,1] => [-1,3,-2,4,-5] => [-5,4,-2,3,-1] => [-1,2,-4,3,-5] => 5
[-3,2,4,-5,-1] => [1,3,-2,4,-5] => [-5,4,-2,3,1] => [-1,2,-4,3,5] => 6
[-3,2,-4,5,1] => [-1,3,-2,-4,5] => [5,-4,-2,3,-1] => [1,-2,-4,3,-5] => 5
[-3,2,-4,5,-1] => [1,3,-2,-4,5] => [5,-4,-2,3,1] => [1,-2,-4,3,5] => 6
[-3,2,-4,-5,1] => [-1,3,-2,-4,-5] => [-5,-4,-2,3,-1] => [-1,-2,-4,3,-5] => 4
[-3,2,-4,-5,-1] => [1,3,-2,-4,-5] => [-5,-4,-2,3,1] => [-1,-2,-4,3,5] => 5
[-3,-2,4,5,1] => [-1,-3,-2,4,5] => [5,4,-2,-3,-1] => [1,2,-4,-3,-5] => 7
[-3,-2,4,5,-1] => [1,-3,-2,4,5] => [5,4,-2,-3,1] => [1,2,-4,-3,5] => 8
[-3,-2,4,-5,1] => [-1,-3,-2,4,-5] => [-5,4,-2,-3,-1] => [-1,2,-4,-3,-5] => 6
[-3,-2,4,-5,-1] => [1,-3,-2,4,-5] => [-5,4,-2,-3,1] => [-1,2,-4,-3,5] => 7
[-3,-2,-4,5,1] => [-1,-3,-2,-4,5] => [5,-4,-2,-3,-1] => [1,-2,-4,-3,-5] => 6
[-3,-2,-4,5,-1] => [1,-3,-2,-4,5] => [5,-4,-2,-3,1] => [1,-2,-4,-3,5] => 7
[-3,-2,-4,-5,1] => [-1,-3,-2,-4,-5] => [-5,-4,-2,-3,-1] => [-1,-2,-4,-3,-5] => 5
[-3,-2,-4,-5,-1] => [1,-3,-2,-4,-5] => [-5,-4,-2,-3,1] => [-1,-2,-4,-3,5] => 6
[3,4,1,5,2] => [4,-1,2,3,5] => [5,3,2,-1,4] => [1,3,4,-5,2] => 7
[3,4,1,5,-2] => [4,1,2,3,5] => [5,3,2,1,4] => [1,3,4,5,2] => 8
[3,4,1,-5,2] => [4,-1,2,3,-5] => [-5,3,2,-1,4] => [-1,3,4,-5,2] => 6
[3,4,1,-5,-2] => [4,1,2,3,-5] => [-5,3,2,1,4] => [-1,3,4,5,2] => 7
[3,4,-1,5,2] => [-4,-1,2,3,5] => [5,3,2,-1,-4] => [1,3,4,-5,-2] => 8
[3,4,-1,5,-2] => [-4,1,2,3,5] => [5,3,2,1,-4] => [1,3,4,5,-2] => 9
[3,4,-1,-5,2] => [-4,-1,2,3,-5] => [-5,3,2,-1,-4] => [-1,3,4,-5,-2] => 7
[3,4,-1,-5,-2] => [-4,1,2,3,-5] => [-5,3,2,1,-4] => [-1,3,4,5,-2] => 8
[3,-4,1,5,2] => [4,-1,2,-3,5] => [5,-3,2,-1,4] => [1,-3,4,-5,2] => 6
[3,-4,1,5,-2] => [4,1,2,-3,5] => [5,-3,2,1,4] => [1,-3,4,5,2] => 7
[3,-4,1,-5,2] => [4,-1,2,-3,-5] => [-5,-3,2,-1,4] => [-1,-3,4,-5,2] => 5
[3,-4,1,-5,-2] => [4,1,2,-3,-5] => [-5,-3,2,1,4] => [-1,-3,4,5,2] => 6
[3,-4,-1,5,2] => [-4,-1,2,-3,5] => [5,-3,2,-1,-4] => [1,-3,4,-5,-2] => 7
[3,-4,-1,5,-2] => [-4,1,2,-3,5] => [5,-3,2,1,-4] => [1,-3,4,5,-2] => 8
[3,-4,-1,-5,2] => [-4,-1,2,-3,-5] => [-5,-3,2,-1,-4] => [-1,-3,4,-5,-2] => 6
[3,-4,-1,-5,-2] => [-4,1,2,-3,-5] => [-5,-3,2,1,-4] => [-1,-3,4,5,-2] => 7
[-3,4,1,5,2] => [4,-1,-2,3,5] => [5,3,-2,-1,4] => [1,3,-4,-5,2] => 6
[-3,4,1,5,-2] => [4,1,-2,3,5] => [5,3,-2,1,4] => [1,3,-4,5,2] => 7
[-3,4,1,-5,2] => [4,-1,-2,3,-5] => [-5,3,-2,-1,4] => [-1,3,-4,-5,2] => 5
[-3,4,1,-5,-2] => [4,1,-2,3,-5] => [-5,3,-2,1,4] => [-1,3,-4,5,2] => 6
[-3,4,-1,5,2] => [-4,-1,-2,3,5] => [5,3,-2,-1,-4] => [1,3,-4,-5,-2] => 7
[-3,4,-1,5,-2] => [-4,1,-2,3,5] => [5,3,-2,1,-4] => [1,3,-4,5,-2] => 8
[-3,4,-1,-5,2] => [-4,-1,-2,3,-5] => [-5,3,-2,-1,-4] => [-1,3,-4,-5,-2] => 6
[-3,4,-1,-5,-2] => [-4,1,-2,3,-5] => [-5,3,-2,1,-4] => [-1,3,-4,5,-2] => 7
[-3,-4,1,5,2] => [4,-1,-2,-3,5] => [5,-3,-2,-1,4] => [1,-3,-4,-5,2] => 5
[-3,-4,1,5,-2] => [4,1,-2,-3,5] => [5,-3,-2,1,4] => [1,-3,-4,5,2] => 6
[-3,-4,1,-5,2] => [4,-1,-2,-3,-5] => [-5,-3,-2,-1,4] => [-1,-3,-4,-5,2] => 4
[-3,-4,1,-5,-2] => [4,1,-2,-3,-5] => [-5,-3,-2,1,4] => [-1,-3,-4,5,2] => 5
[-3,-4,-1,5,2] => [-4,-1,-2,-3,5] => [5,-3,-2,-1,-4] => [1,-3,-4,-5,-2] => 6
[-3,-4,-1,5,-2] => [-4,1,-2,-3,5] => [5,-3,-2,1,-4] => [1,-3,-4,5,-2] => 7
[-3,-4,-1,-5,2] => [-4,-1,-2,-3,-5] => [-5,-3,-2,-1,-4] => [-1,-3,-4,-5,-2] => 5
[-3,-4,-1,-5,-2] => [-4,1,-2,-3,-5] => [-5,-3,-2,1,-4] => [-1,-3,-4,5,-2] => 6
[3,4,2,5,1] => [-1,4,2,3,5] => [5,3,2,4,-1] => [1,3,4,2,-5] => 7
[3,4,2,5,-1] => [1,4,2,3,5] => [5,3,2,4,1] => [1,3,4,2,5] => 8
[3,4,2,-5,1] => [-1,4,2,3,-5] => [-5,3,2,4,-1] => [-1,3,4,2,-5] => 6
[3,4,2,-5,-1] => [1,4,2,3,-5] => [-5,3,2,4,1] => [-1,3,4,2,5] => 7
[3,4,-2,5,1] => [-1,-4,2,3,5] => [5,3,2,-4,-1] => [1,3,4,-2,-5] => 8
[3,4,-2,5,-1] => [1,-4,2,3,5] => [5,3,2,-4,1] => [1,3,4,-2,5] => 9
[3,4,-2,-5,1] => [-1,-4,2,3,-5] => [-5,3,2,-4,-1] => [-1,3,4,-2,-5] => 7
[3,4,-2,-5,-1] => [1,-4,2,3,-5] => [-5,3,2,-4,1] => [-1,3,4,-2,5] => 8
[3,-4,2,5,1] => [-1,4,2,-3,5] => [5,-3,2,4,-1] => [1,-3,4,2,-5] => 6
[3,-4,2,5,-1] => [1,4,2,-3,5] => [5,-3,2,4,1] => [1,-3,4,2,5] => 7
[3,-4,2,-5,1] => [-1,4,2,-3,-5] => [-5,-3,2,4,-1] => [-1,-3,4,2,-5] => 5
[3,-4,2,-5,-1] => [1,4,2,-3,-5] => [-5,-3,2,4,1] => [-1,-3,4,2,5] => 6
[3,-4,-2,5,1] => [-1,-4,2,-3,5] => [5,-3,2,-4,-1] => [1,-3,4,-2,-5] => 7
[3,-4,-2,5,-1] => [1,-4,2,-3,5] => [5,-3,2,-4,1] => [1,-3,4,-2,5] => 8
[3,-4,-2,-5,1] => [-1,-4,2,-3,-5] => [-5,-3,2,-4,-1] => [-1,-3,4,-2,-5] => 6
[3,-4,-2,-5,-1] => [1,-4,2,-3,-5] => [-5,-3,2,-4,1] => [-1,-3,4,-2,5] => 7
[-3,4,2,5,1] => [-1,4,-2,3,5] => [5,3,-2,4,-1] => [1,3,-4,2,-5] => 6
[-3,4,2,5,-1] => [1,4,-2,3,5] => [5,3,-2,4,1] => [1,3,-4,2,5] => 7
[-3,4,2,-5,1] => [-1,4,-2,3,-5] => [-5,3,-2,4,-1] => [-1,3,-4,2,-5] => 5
[-3,4,2,-5,-1] => [1,4,-2,3,-5] => [-5,3,-2,4,1] => [-1,3,-4,2,5] => 6
[-3,4,-2,5,1] => [-1,-4,-2,3,5] => [5,3,-2,-4,-1] => [1,3,-4,-2,-5] => 7
[-3,4,-2,5,-1] => [1,-4,-2,3,5] => [5,3,-2,-4,1] => [1,3,-4,-2,5] => 8
[-3,4,-2,-5,1] => [-1,-4,-2,3,-5] => [-5,3,-2,-4,-1] => [-1,3,-4,-2,-5] => 6
[-3,4,-2,-5,-1] => [1,-4,-2,3,-5] => [-5,3,-2,-4,1] => [-1,3,-4,-2,5] => 7
[-3,-4,2,5,1] => [-1,4,-2,-3,5] => [5,-3,-2,4,-1] => [1,-3,-4,2,-5] => 5
[-3,-4,2,5,-1] => [1,4,-2,-3,5] => [5,-3,-2,4,1] => [1,-3,-4,2,5] => 6
[-3,-4,2,-5,1] => [-1,4,-2,-3,-5] => [-5,-3,-2,4,-1] => [-1,-3,-4,2,-5] => 4
[-3,-4,2,-5,-1] => [1,4,-2,-3,-5] => [-5,-3,-2,4,1] => [-1,-3,-4,2,5] => 5
[-3,-4,-2,5,1] => [-1,-4,-2,-3,5] => [5,-3,-2,-4,-1] => [1,-3,-4,-2,-5] => 6
[-3,-4,-2,5,-1] => [1,-4,-2,-3,5] => [5,-3,-2,-4,1] => [1,-3,-4,-2,5] => 7
[-3,-4,-2,-5,1] => [-1,-4,-2,-3,-5] => [-5,-3,-2,-4,-1] => [-1,-3,-4,-2,-5] => 5
[-3,-4,-2,-5,-1] => [1,-4,-2,-3,-5] => [-5,-3,-2,-4,1] => [-1,-3,-4,-2,5] => 6
[4,1,2,5,3] => [3,4,-1,2,5] => [5,2,-1,4,3] => [1,4,-5,2,3] => 5
[4,1,2,5,-3] => [3,4,1,2,5] => [5,2,1,4,3] => [1,4,5,2,3] => 6
[4,1,2,-5,3] => [3,4,-1,2,-5] => [-5,2,-1,4,3] => [-1,4,-5,2,3] => 4
[4,1,2,-5,-3] => [3,4,1,2,-5] => [-5,2,1,4,3] => [-1,4,5,2,3] => 5
[4,1,-2,5,3] => [3,-4,-1,2,5] => [5,2,-1,-4,3] => [1,4,-5,-2,3] => 6
[4,1,-2,5,-3] => [3,-4,1,2,5] => [5,2,1,-4,3] => [1,4,5,-2,3] => 7
[4,1,-2,-5,3] => [3,-4,-1,2,-5] => [-5,2,-1,-4,3] => [-1,4,-5,-2,3] => 5
[4,1,-2,-5,-3] => [3,-4,1,2,-5] => [-5,2,1,-4,3] => [-1,4,5,-2,3] => 6
[4,-1,2,5,3] => [-3,4,-1,2,5] => [5,2,-1,4,-3] => [1,4,-5,2,-3] => 6
[4,-1,2,5,-3] => [-3,4,1,2,5] => [5,2,1,4,-3] => [1,4,5,2,-3] => 7
[4,-1,2,-5,3] => [-3,4,-1,2,-5] => [-5,2,-1,4,-3] => [-1,4,-5,2,-3] => 5
[4,-1,2,-5,-3] => [-3,4,1,2,-5] => [-5,2,1,4,-3] => [-1,4,5,2,-3] => 6
[4,-1,-2,5,3] => [-3,-4,-1,2,5] => [5,2,-1,-4,-3] => [1,4,-5,-2,-3] => 7
[4,-1,-2,5,-3] => [-3,-4,1,2,5] => [5,2,1,-4,-3] => [1,4,5,-2,-3] => 8
[4,-1,-2,-5,3] => [-3,-4,-1,2,-5] => [-5,2,-1,-4,-3] => [-1,4,-5,-2,-3] => 6
[4,-1,-2,-5,-3] => [-3,-4,1,2,-5] => [-5,2,1,-4,-3] => [-1,4,5,-2,-3] => 7
[-4,1,2,5,3] => [3,4,-1,-2,5] => [5,-2,-1,4,3] => [1,-4,-5,2,3] => 4
[-4,1,2,5,-3] => [3,4,1,-2,5] => [5,-2,1,4,3] => [1,-4,5,2,3] => 5
[-4,1,2,-5,3] => [3,4,-1,-2,-5] => [-5,-2,-1,4,3] => [-1,-4,-5,2,3] => 3
[-4,1,2,-5,-3] => [3,4,1,-2,-5] => [-5,-2,1,4,3] => [-1,-4,5,2,3] => 4
[-4,1,-2,5,3] => [3,-4,-1,-2,5] => [5,-2,-1,-4,3] => [1,-4,-5,-2,3] => 5
[-4,1,-2,5,-3] => [3,-4,1,-2,5] => [5,-2,1,-4,3] => [1,-4,5,-2,3] => 6
[-4,1,-2,-5,3] => [3,-4,-1,-2,-5] => [-5,-2,-1,-4,3] => [-1,-4,-5,-2,3] => 4
[-4,1,-2,-5,-3] => [3,-4,1,-2,-5] => [-5,-2,1,-4,3] => [-1,-4,5,-2,3] => 5
[-4,-1,2,5,3] => [-3,4,-1,-2,5] => [5,-2,-1,4,-3] => [1,-4,-5,2,-3] => 5
[-4,-1,2,5,-3] => [-3,4,1,-2,5] => [5,-2,1,4,-3] => [1,-4,5,2,-3] => 6
[-4,-1,2,-5,3] => [-3,4,-1,-2,-5] => [-5,-2,-1,4,-3] => [-1,-4,-5,2,-3] => 4
[-4,-1,2,-5,-3] => [-3,4,1,-2,-5] => [-5,-2,1,4,-3] => [-1,-4,5,2,-3] => 5
[-4,-1,-2,5,3] => [-3,-4,-1,-2,5] => [5,-2,-1,-4,-3] => [1,-4,-5,-2,-3] => 6
[-4,-1,-2,5,-3] => [-3,-4,1,-2,5] => [5,-2,1,-4,-3] => [1,-4,5,-2,-3] => 7
[-4,-1,-2,-5,3] => [-3,-4,-1,-2,-5] => [-5,-2,-1,-4,-3] => [-1,-4,-5,-2,-3] => 5
[-4,-1,-2,-5,-3] => [-3,-4,1,-2,-5] => [-5,-2,1,-4,-3] => [-1,-4,5,-2,-3] => 6
[4,1,3,5,2] => [3,-1,4,2,5] => [5,2,4,-1,3] => [1,4,2,-5,3] => 5
[4,1,3,5,-2] => [3,1,4,2,5] => [5,2,4,1,3] => [1,4,2,5,3] => 6
[4,1,3,-5,2] => [3,-1,4,2,-5] => [-5,2,4,-1,3] => [-1,4,2,-5,3] => 4
[4,1,3,-5,-2] => [3,1,4,2,-5] => [-5,2,4,1,3] => [-1,4,2,5,3] => 5
[4,1,-3,5,2] => [3,-1,-4,2,5] => [5,2,-4,-1,3] => [1,4,-2,-5,3] => 6
[4,1,-3,5,-2] => [3,1,-4,2,5] => [5,2,-4,1,3] => [1,4,-2,5,3] => 7
[4,1,-3,-5,2] => [3,-1,-4,2,-5] => [-5,2,-4,-1,3] => [-1,4,-2,-5,3] => 5
[4,1,-3,-5,-2] => [3,1,-4,2,-5] => [-5,2,-4,1,3] => [-1,4,-2,5,3] => 6
[4,-1,3,5,2] => [-3,-1,4,2,5] => [5,2,4,-1,-3] => [1,4,2,-5,-3] => 6
[4,-1,3,5,-2] => [-3,1,4,2,5] => [5,2,4,1,-3] => [1,4,2,5,-3] => 7
[4,-1,3,-5,2] => [-3,-1,4,2,-5] => [-5,2,4,-1,-3] => [-1,4,2,-5,-3] => 5
[4,-1,3,-5,-2] => [-3,1,4,2,-5] => [-5,2,4,1,-3] => [-1,4,2,5,-3] => 6
[4,-1,-3,5,2] => [-3,-1,-4,2,5] => [5,2,-4,-1,-3] => [1,4,-2,-5,-3] => 7
[4,-1,-3,5,-2] => [-3,1,-4,2,5] => [5,2,-4,1,-3] => [1,4,-2,5,-3] => 8
[4,-1,-3,-5,2] => [-3,-1,-4,2,-5] => [-5,2,-4,-1,-3] => [-1,4,-2,-5,-3] => 6
[4,-1,-3,-5,-2] => [-3,1,-4,2,-5] => [-5,2,-4,1,-3] => [-1,4,-2,5,-3] => 7
[-4,1,3,5,2] => [3,-1,4,-2,5] => [5,-2,4,-1,3] => [1,-4,2,-5,3] => 4
[-4,1,3,5,-2] => [3,1,4,-2,5] => [5,-2,4,1,3] => [1,-4,2,5,3] => 5
[-4,1,3,-5,2] => [3,-1,4,-2,-5] => [-5,-2,4,-1,3] => [-1,-4,2,-5,3] => 3
[-4,1,3,-5,-2] => [3,1,4,-2,-5] => [-5,-2,4,1,3] => [-1,-4,2,5,3] => 4
[-4,1,-3,5,2] => [3,-1,-4,-2,5] => [5,-2,-4,-1,3] => [1,-4,-2,-5,3] => 5
[-4,1,-3,5,-2] => [3,1,-4,-2,5] => [5,-2,-4,1,3] => [1,-4,-2,5,3] => 6
[-4,1,-3,-5,2] => [3,-1,-4,-2,-5] => [-5,-2,-4,-1,3] => [-1,-4,-2,-5,3] => 4
[-4,1,-3,-5,-2] => [3,1,-4,-2,-5] => [-5,-2,-4,1,3] => [-1,-4,-2,5,3] => 5
[-4,-1,3,5,2] => [-3,-1,4,-2,5] => [5,-2,4,-1,-3] => [1,-4,2,-5,-3] => 5
[-4,-1,3,5,-2] => [-3,1,4,-2,5] => [5,-2,4,1,-3] => [1,-4,2,5,-3] => 6
[-4,-1,3,-5,2] => [-3,-1,4,-2,-5] => [-5,-2,4,-1,-3] => [-1,-4,2,-5,-3] => 4
[-4,-1,3,-5,-2] => [-3,1,4,-2,-5] => [-5,-2,4,1,-3] => [-1,-4,2,5,-3] => 5
[-4,-1,-3,5,2] => [-3,-1,-4,-2,5] => [5,-2,-4,-1,-3] => [1,-4,-2,-5,-3] => 6
[-4,-1,-3,5,-2] => [-3,1,-4,-2,5] => [5,-2,-4,1,-3] => [1,-4,-2,5,-3] => 7
[-4,-1,-3,-5,2] => [-3,-1,-4,-2,-5] => [-5,-2,-4,-1,-3] => [-1,-4,-2,-5,-3] => 5
[-4,-1,-3,-5,-2] => [-3,1,-4,-2,-5] => [-5,-2,-4,1,-3] => [-1,-4,-2,5,-3] => 6
[4,2,1,5,3] => [4,3,-1,2,5] => [5,2,-1,3,4] => [1,4,-5,3,2] => 5
[4,2,1,5,-3] => [4,3,1,2,5] => [5,2,1,3,4] => [1,4,5,3,2] => 6
[4,2,1,-5,3] => [4,3,-1,2,-5] => [-5,2,-1,3,4] => [-1,4,-5,3,2] => 4
[4,2,1,-5,-3] => [4,3,1,2,-5] => [-5,2,1,3,4] => [-1,4,5,3,2] => 5
[4,2,-1,5,3] => [-4,3,-1,2,5] => [5,2,-1,3,-4] => [1,4,-5,3,-2] => 6
[4,2,-1,5,-3] => [-4,3,1,2,5] => [5,2,1,3,-4] => [1,4,5,3,-2] => 7
[4,2,-1,-5,3] => [-4,3,-1,2,-5] => [-5,2,-1,3,-4] => [-1,4,-5,3,-2] => 5
[4,2,-1,-5,-3] => [-4,3,1,2,-5] => [-5,2,1,3,-4] => [-1,4,5,3,-2] => 6
[4,-2,1,5,3] => [4,-3,-1,2,5] => [5,2,-1,-3,4] => [1,4,-5,-3,2] => 6
[4,-2,1,5,-3] => [4,-3,1,2,5] => [5,2,1,-3,4] => [1,4,5,-3,2] => 7
[4,-2,1,-5,3] => [4,-3,-1,2,-5] => [-5,2,-1,-3,4] => [-1,4,-5,-3,2] => 5
[4,-2,1,-5,-3] => [4,-3,1,2,-5] => [-5,2,1,-3,4] => [-1,4,5,-3,2] => 6
[4,-2,-1,5,3] => [-4,-3,-1,2,5] => [5,2,-1,-3,-4] => [1,4,-5,-3,-2] => 7
[4,-2,-1,5,-3] => [-4,-3,1,2,5] => [5,2,1,-3,-4] => [1,4,5,-3,-2] => 8
[4,-2,-1,-5,3] => [-4,-3,-1,2,-5] => [-5,2,-1,-3,-4] => [-1,4,-5,-3,-2] => 6
[4,-2,-1,-5,-3] => [-4,-3,1,2,-5] => [-5,2,1,-3,-4] => [-1,4,5,-3,-2] => 7
[-4,2,1,5,3] => [4,3,-1,-2,5] => [5,-2,-1,3,4] => [1,-4,-5,3,2] => 4
[-4,2,1,5,-3] => [4,3,1,-2,5] => [5,-2,1,3,4] => [1,-4,5,3,2] => 5
[-4,2,1,-5,3] => [4,3,-1,-2,-5] => [-5,-2,-1,3,4] => [-1,-4,-5,3,2] => 3
[-4,2,1,-5,-3] => [4,3,1,-2,-5] => [-5,-2,1,3,4] => [-1,-4,5,3,2] => 4
[-4,2,-1,5,3] => [-4,3,-1,-2,5] => [5,-2,-1,3,-4] => [1,-4,-5,3,-2] => 5
[-4,2,-1,5,-3] => [-4,3,1,-2,5] => [5,-2,1,3,-4] => [1,-4,5,3,-2] => 6
[-4,2,-1,-5,3] => [-4,3,-1,-2,-5] => [-5,-2,-1,3,-4] => [-1,-4,-5,3,-2] => 4
[-4,2,-1,-5,-3] => [-4,3,1,-2,-5] => [-5,-2,1,3,-4] => [-1,-4,5,3,-2] => 5
[-4,-2,1,5,3] => [4,-3,-1,-2,5] => [5,-2,-1,-3,4] => [1,-4,-5,-3,2] => 5
[-4,-2,1,5,-3] => [4,-3,1,-2,5] => [5,-2,1,-3,4] => [1,-4,5,-3,2] => 6
[-4,-2,1,-5,3] => [4,-3,-1,-2,-5] => [-5,-2,-1,-3,4] => [-1,-4,-5,-3,2] => 4
[-4,-2,1,-5,-3] => [4,-3,1,-2,-5] => [-5,-2,1,-3,4] => [-1,-4,5,-3,2] => 5
[-4,-2,-1,5,3] => [-4,-3,-1,-2,5] => [5,-2,-1,-3,-4] => [1,-4,-5,-3,-2] => 6
[-4,-2,-1,5,-3] => [-4,-3,1,-2,5] => [5,-2,1,-3,-4] => [1,-4,5,-3,-2] => 7
[-4,-2,-1,-5,3] => [-4,-3,-1,-2,-5] => [-5,-2,-1,-3,-4] => [-1,-4,-5,-3,-2] => 5
[-4,-2,-1,-5,-3] => [-4,-3,1,-2,-5] => [-5,-2,1,-3,-4] => [-1,-4,5,-3,-2] => 6
[4,2,3,5,1] => [-1,3,4,2,5] => [5,2,4,3,-1] => [1,4,2,3,-5] => 5
[4,2,3,5,-1] => [1,3,4,2,5] => [5,2,4,3,1] => [1,4,2,3,5] => 6
[4,2,3,-5,1] => [-1,3,4,2,-5] => [-5,2,4,3,-1] => [-1,4,2,3,-5] => 4
[4,2,3,-5,-1] => [1,3,4,2,-5] => [-5,2,4,3,1] => [-1,4,2,3,5] => 5
[4,2,-3,5,1] => [-1,3,-4,2,5] => [5,2,-4,3,-1] => [1,4,-2,3,-5] => 6
[4,2,-3,5,-1] => [1,3,-4,2,5] => [5,2,-4,3,1] => [1,4,-2,3,5] => 7
[4,2,-3,-5,1] => [-1,3,-4,2,-5] => [-5,2,-4,3,-1] => [-1,4,-2,3,-5] => 5
[4,2,-3,-5,-1] => [1,3,-4,2,-5] => [-5,2,-4,3,1] => [-1,4,-2,3,5] => 6
[4,-2,3,5,1] => [-1,-3,4,2,5] => [5,2,4,-3,-1] => [1,4,2,-3,-5] => 6
[4,-2,3,5,-1] => [1,-3,4,2,5] => [5,2,4,-3,1] => [1,4,2,-3,5] => 7
[4,-2,3,-5,1] => [-1,-3,4,2,-5] => [-5,2,4,-3,-1] => [-1,4,2,-3,-5] => 5
[4,-2,3,-5,-1] => [1,-3,4,2,-5] => [-5,2,4,-3,1] => [-1,4,2,-3,5] => 6
[4,-2,-3,5,1] => [-1,-3,-4,2,5] => [5,2,-4,-3,-1] => [1,4,-2,-3,-5] => 7
[4,-2,-3,5,-1] => [1,-3,-4,2,5] => [5,2,-4,-3,1] => [1,4,-2,-3,5] => 8
[4,-2,-3,-5,1] => [-1,-3,-4,2,-5] => [-5,2,-4,-3,-1] => [-1,4,-2,-3,-5] => 6
[4,-2,-3,-5,-1] => [1,-3,-4,2,-5] => [-5,2,-4,-3,1] => [-1,4,-2,-3,5] => 7
[-4,2,3,5,1] => [-1,3,4,-2,5] => [5,-2,4,3,-1] => [1,-4,2,3,-5] => 4
[-4,2,3,5,-1] => [1,3,4,-2,5] => [5,-2,4,3,1] => [1,-4,2,3,5] => 5
[-4,2,3,-5,1] => [-1,3,4,-2,-5] => [-5,-2,4,3,-1] => [-1,-4,2,3,-5] => 3
[-4,2,3,-5,-1] => [1,3,4,-2,-5] => [-5,-2,4,3,1] => [-1,-4,2,3,5] => 4
[-4,2,-3,5,1] => [-1,3,-4,-2,5] => [5,-2,-4,3,-1] => [1,-4,-2,3,-5] => 5
[-4,2,-3,5,-1] => [1,3,-4,-2,5] => [5,-2,-4,3,1] => [1,-4,-2,3,5] => 6
[-4,2,-3,-5,1] => [-1,3,-4,-2,-5] => [-5,-2,-4,3,-1] => [-1,-4,-2,3,-5] => 4
[-4,2,-3,-5,-1] => [1,3,-4,-2,-5] => [-5,-2,-4,3,1] => [-1,-4,-2,3,5] => 5
[-4,-2,3,5,1] => [-1,-3,4,-2,5] => [5,-2,4,-3,-1] => [1,-4,2,-3,-5] => 5
[-4,-2,3,5,-1] => [1,-3,4,-2,5] => [5,-2,4,-3,1] => [1,-4,2,-3,5] => 6
[-4,-2,3,-5,1] => [-1,-3,4,-2,-5] => [-5,-2,4,-3,-1] => [-1,-4,2,-3,-5] => 4
[-4,-2,3,-5,-1] => [1,-3,4,-2,-5] => [-5,-2,4,-3,1] => [-1,-4,2,-3,5] => 5
[-4,-2,-3,5,1] => [-1,-3,-4,-2,5] => [5,-2,-4,-3,-1] => [1,-4,-2,-3,-5] => 6
[-4,-2,-3,5,-1] => [1,-3,-4,-2,5] => [5,-2,-4,-3,1] => [1,-4,-2,-3,5] => 7
[-4,-2,-3,-5,1] => [-1,-3,-4,-2,-5] => [-5,-2,-4,-3,-1] => [-1,-4,-2,-3,-5] => 5
[-4,-2,-3,-5,-1] => [1,-3,-4,-2,-5] => [-5,-2,-4,-3,1] => [-1,-4,-2,-3,5] => 6
[4,3,1,5,2] => [4,-1,3,2,5] => [5,2,3,-1,4] => [1,4,3,-5,2] => 7
[4,3,1,5,-2] => [4,1,3,2,5] => [5,2,3,1,4] => [1,4,3,5,2] => 8
[4,3,1,-5,2] => [4,-1,3,2,-5] => [-5,2,3,-1,4] => [-1,4,3,-5,2] => 6
[4,3,1,-5,-2] => [4,1,3,2,-5] => [-5,2,3,1,4] => [-1,4,3,5,2] => 7
[4,3,-1,5,2] => [-4,-1,3,2,5] => [5,2,3,-1,-4] => [1,4,3,-5,-2] => 8
[4,3,-1,5,-2] => [-4,1,3,2,5] => [5,2,3,1,-4] => [1,4,3,5,-2] => 9
[4,3,-1,-5,2] => [-4,-1,3,2,-5] => [-5,2,3,-1,-4] => [-1,4,3,-5,-2] => 7
[4,3,-1,-5,-2] => [-4,1,3,2,-5] => [-5,2,3,1,-4] => [-1,4,3,5,-2] => 8
[4,-3,1,5,2] => [4,-1,-3,2,5] => [5,2,-3,-1,4] => [1,4,-3,-5,2] => 6
[4,-3,1,5,-2] => [4,1,-3,2,5] => [5,2,-3,1,4] => [1,4,-3,5,2] => 7
[4,-3,1,-5,2] => [4,-1,-3,2,-5] => [-5,2,-3,-1,4] => [-1,4,-3,-5,2] => 5
[4,-3,1,-5,-2] => [4,1,-3,2,-5] => [-5,2,-3,1,4] => [-1,4,-3,5,2] => 6
[4,-3,-1,5,2] => [-4,-1,-3,2,5] => [5,2,-3,-1,-4] => [1,4,-3,-5,-2] => 7
[4,-3,-1,5,-2] => [-4,1,-3,2,5] => [5,2,-3,1,-4] => [1,4,-3,5,-2] => 8
[4,-3,-1,-5,2] => [-4,-1,-3,2,-5] => [-5,2,-3,-1,-4] => [-1,4,-3,-5,-2] => 6
[4,-3,-1,-5,-2] => [-4,1,-3,2,-5] => [-5,2,-3,1,-4] => [-1,4,-3,5,-2] => 7
[-4,3,1,5,2] => [4,-1,3,-2,5] => [5,-2,3,-1,4] => [1,-4,3,-5,2] => 6
[-4,3,1,5,-2] => [4,1,3,-2,5] => [5,-2,3,1,4] => [1,-4,3,5,2] => 7
[-4,3,1,-5,2] => [4,-1,3,-2,-5] => [-5,-2,3,-1,4] => [-1,-4,3,-5,2] => 5
[-4,3,1,-5,-2] => [4,1,3,-2,-5] => [-5,-2,3,1,4] => [-1,-4,3,5,2] => 6
[-4,3,-1,5,2] => [-4,-1,3,-2,5] => [5,-2,3,-1,-4] => [1,-4,3,-5,-2] => 7
[-4,3,-1,5,-2] => [-4,1,3,-2,5] => [5,-2,3,1,-4] => [1,-4,3,5,-2] => 8
[-4,3,-1,-5,2] => [-4,-1,3,-2,-5] => [-5,-2,3,-1,-4] => [-1,-4,3,-5,-2] => 6
[-4,3,-1,-5,-2] => [-4,1,3,-2,-5] => [-5,-2,3,1,-4] => [-1,-4,3,5,-2] => 7
[-4,-3,1,5,2] => [4,-1,-3,-2,5] => [5,-2,-3,-1,4] => [1,-4,-3,-5,2] => 5
[-4,-3,1,5,-2] => [4,1,-3,-2,5] => [5,-2,-3,1,4] => [1,-4,-3,5,2] => 6
[-4,-3,1,-5,2] => [4,-1,-3,-2,-5] => [-5,-2,-3,-1,4] => [-1,-4,-3,-5,2] => 4
[-4,-3,1,-5,-2] => [4,1,-3,-2,-5] => [-5,-2,-3,1,4] => [-1,-4,-3,5,2] => 5
[-4,-3,-1,5,2] => [-4,-1,-3,-2,5] => [5,-2,-3,-1,-4] => [1,-4,-3,-5,-2] => 6
[-4,-3,-1,5,-2] => [-4,1,-3,-2,5] => [5,-2,-3,1,-4] => [1,-4,-3,5,-2] => 7
[-4,-3,-1,-5,2] => [-4,-1,-3,-2,-5] => [-5,-2,-3,-1,-4] => [-1,-4,-3,-5,-2] => 5
[-4,-3,-1,-5,-2] => [-4,1,-3,-2,-5] => [-5,-2,-3,1,-4] => [-1,-4,-3,5,-2] => 6
[4,3,2,5,1] => [-1,4,3,2,5] => [5,2,3,4,-1] => [1,4,3,2,-5] => 7
[4,3,2,5,-1] => [1,4,3,2,5] => [5,2,3,4,1] => [1,4,3,2,5] => 8
[4,3,2,-5,1] => [-1,4,3,2,-5] => [-5,2,3,4,-1] => [-1,4,3,2,-5] => 6
[4,3,2,-5,-1] => [1,4,3,2,-5] => [-5,2,3,4,1] => [-1,4,3,2,5] => 7
[4,3,-2,5,1] => [-1,-4,3,2,5] => [5,2,3,-4,-1] => [1,4,3,-2,-5] => 8
[4,3,-2,5,-1] => [1,-4,3,2,5] => [5,2,3,-4,1] => [1,4,3,-2,5] => 9
[4,3,-2,-5,1] => [-1,-4,3,2,-5] => [-5,2,3,-4,-1] => [-1,4,3,-2,-5] => 7
[4,3,-2,-5,-1] => [1,-4,3,2,-5] => [-5,2,3,-4,1] => [-1,4,3,-2,5] => 8
[4,-3,2,5,1] => [-1,4,-3,2,5] => [5,2,-3,4,-1] => [1,4,-3,2,-5] => 6
[4,-3,2,5,-1] => [1,4,-3,2,5] => [5,2,-3,4,1] => [1,4,-3,2,5] => 7
[4,-3,2,-5,1] => [-1,4,-3,2,-5] => [-5,2,-3,4,-1] => [-1,4,-3,2,-5] => 5
[4,-3,2,-5,-1] => [1,4,-3,2,-5] => [-5,2,-3,4,1] => [-1,4,-3,2,5] => 6
[4,-3,-2,5,1] => [-1,-4,-3,2,5] => [5,2,-3,-4,-1] => [1,4,-3,-2,-5] => 7
[4,-3,-2,5,-1] => [1,-4,-3,2,5] => [5,2,-3,-4,1] => [1,4,-3,-2,5] => 8
[4,-3,-2,-5,1] => [-1,-4,-3,2,-5] => [-5,2,-3,-4,-1] => [-1,4,-3,-2,-5] => 6
[4,-3,-2,-5,-1] => [1,-4,-3,2,-5] => [-5,2,-3,-4,1] => [-1,4,-3,-2,5] => 7
[-4,3,2,5,1] => [-1,4,3,-2,5] => [5,-2,3,4,-1] => [1,-4,3,2,-5] => 6
[-4,3,2,5,-1] => [1,4,3,-2,5] => [5,-2,3,4,1] => [1,-4,3,2,5] => 7
[-4,3,2,-5,1] => [-1,4,3,-2,-5] => [-5,-2,3,4,-1] => [-1,-4,3,2,-5] => 5
[-4,3,2,-5,-1] => [1,4,3,-2,-5] => [-5,-2,3,4,1] => [-1,-4,3,2,5] => 6
[-4,3,-2,5,1] => [-1,-4,3,-2,5] => [5,-2,3,-4,-1] => [1,-4,3,-2,-5] => 7
[-4,3,-2,5,-1] => [1,-4,3,-2,5] => [5,-2,3,-4,1] => [1,-4,3,-2,5] => 8
[-4,3,-2,-5,1] => [-1,-4,3,-2,-5] => [-5,-2,3,-4,-1] => [-1,-4,3,-2,-5] => 6
[-4,3,-2,-5,-1] => [1,-4,3,-2,-5] => [-5,-2,3,-4,1] => [-1,-4,3,-2,5] => 7
[-4,-3,2,5,1] => [-1,4,-3,-2,5] => [5,-2,-3,4,-1] => [1,-4,-3,2,-5] => 5
[-4,-3,2,5,-1] => [1,4,-3,-2,5] => [5,-2,-3,4,1] => [1,-4,-3,2,5] => 6
[-4,-3,2,-5,1] => [-1,4,-3,-2,-5] => [-5,-2,-3,4,-1] => [-1,-4,-3,2,-5] => 4
[-4,-3,2,-5,-1] => [1,4,-3,-2,-5] => [-5,-2,-3,4,1] => [-1,-4,-3,2,5] => 5
[-4,-3,-2,5,1] => [-1,-4,-3,-2,5] => [5,-2,-3,-4,-1] => [1,-4,-3,-2,-5] => 6
[-4,-3,-2,5,-1] => [1,-4,-3,-2,5] => [5,-2,-3,-4,1] => [1,-4,-3,-2,5] => 7
[-4,-3,-2,-5,1] => [-1,-4,-3,-2,-5] => [-5,-2,-3,-4,-1] => [-1,-4,-3,-2,-5] => 5
[-4,-3,-2,-5,-1] => [1,-4,-3,-2,-5] => [-5,-2,-3,-4,1] => [-1,-4,-3,-2,5] => 6
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,3,3,1 1,7,16,16,7,1 1,15,61,115,115,61,15,1
$F_{1} = q + q^{2}$
$F_{2} = q + 3\ q^{2} + 3\ q^{3} + q^{4}$
$F_{3} = q + 7\ q^{2} + 16\ q^{3} + 16\ q^{4} + 7\ q^{5} + q^{6}$
$F_{4} = q + 15\ q^{2} + 61\ q^{3} + 115\ q^{4} + 115\ q^{5} + 61\ q^{6} + 15\ q^{7} + q^{8}$
Description
The number of flag weak exceedances of a signed permutation.
This is the number of negative entries plus twice the number of weak exceedances of the signed permutation.
This is the number of negative entries plus twice the number of weak exceedances of the signed permutation.
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Kreweras complement
Description
The Kreweras complement of a signed permutation.
This is the signed permutation $\pi^{-1}c$ where $c = (1,\ldots,n,-1,-2,\dots,-n)$ is the long cycle.
The order of the Kreweras complement on signed permutations of $\{\pm 1,\dots, \pm n\}$ is $2n$.
This is the signed permutation $\pi^{-1}c$ where $c = (1,\ldots,n,-1,-2,\dots,-n)$ is the long cycle.
The order of the Kreweras complement on signed permutations of $\{\pm 1,\dots, \pm n\}$ is $2n$.
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reverse
Description
The reversal of a signed permutation.
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complement
Description
The complement of a signed permutation.
This is the signed permutation obtained by replacing $i$ with $n+1-i$ and $-i$ with $-(n+1-i)$, for $1 \leq i \leq n$.
This is the signed permutation obtained by replacing $i$ with $n+1-i$ and $-i$ with $-(n+1-i)$, for $1 \leq i \leq n$.
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