Identifier
-
Mp00163:
Signed permutations
—permutation⟶
Permutations
Mp00170: Permutations —to signed permutation⟶ Signed permutations
Mp00190: Signed permutations —Foata-Han⟶ Signed permutations
St001851: Signed permutations ⟶ ℤ
Values
[1] => [1] => [1] => [1] => 1
[-1] => [1] => [1] => [1] => 1
[1,2] => [1,2] => [1,2] => [1,2] => 1
[1,-2] => [1,2] => [1,2] => [1,2] => 1
[-1,2] => [1,2] => [1,2] => [1,2] => 1
[-1,-2] => [1,2] => [1,2] => [1,2] => 1
[2,1] => [2,1] => [2,1] => [-2,1] => 0
[2,-1] => [2,1] => [2,1] => [-2,1] => 0
[-2,1] => [2,1] => [2,1] => [-2,1] => 0
[-2,-1] => [2,1] => [2,1] => [-2,1] => 0
[1,2,3] => [1,2,3] => [1,2,3] => [1,2,3] => 1
[1,2,-3] => [1,2,3] => [1,2,3] => [1,2,3] => 1
[1,-2,3] => [1,2,3] => [1,2,3] => [1,2,3] => 1
[1,-2,-3] => [1,2,3] => [1,2,3] => [1,2,3] => 1
[-1,2,3] => [1,2,3] => [1,2,3] => [1,2,3] => 1
[-1,2,-3] => [1,2,3] => [1,2,3] => [1,2,3] => 1
[-1,-2,3] => [1,2,3] => [1,2,3] => [1,2,3] => 1
[-1,-2,-3] => [1,2,3] => [1,2,3] => [1,2,3] => 1
[1,3,2] => [1,3,2] => [1,3,2] => [1,-3,2] => 0
[1,3,-2] => [1,3,2] => [1,3,2] => [1,-3,2] => 0
[1,-3,2] => [1,3,2] => [1,3,2] => [1,-3,2] => 0
[1,-3,-2] => [1,3,2] => [1,3,2] => [1,-3,2] => 0
[-1,3,2] => [1,3,2] => [1,3,2] => [1,-3,2] => 0
[-1,3,-2] => [1,3,2] => [1,3,2] => [1,-3,2] => 0
[-1,-3,2] => [1,3,2] => [1,3,2] => [1,-3,2] => 0
[-1,-3,-2] => [1,3,2] => [1,3,2] => [1,-3,2] => 0
[2,1,3] => [2,1,3] => [2,1,3] => [-2,1,3] => 0
[2,1,-3] => [2,1,3] => [2,1,3] => [-2,1,3] => 0
[2,-1,3] => [2,1,3] => [2,1,3] => [-2,1,3] => 0
[2,-1,-3] => [2,1,3] => [2,1,3] => [-2,1,3] => 0
[-2,1,3] => [2,1,3] => [2,1,3] => [-2,1,3] => 0
[-2,1,-3] => [2,1,3] => [2,1,3] => [-2,1,3] => 0
[-2,-1,3] => [2,1,3] => [2,1,3] => [-2,1,3] => 0
[-2,-1,-3] => [2,1,3] => [2,1,3] => [-2,1,3] => 0
[2,3,1] => [2,3,1] => [2,3,1] => [3,-2,1] => 1
[2,3,-1] => [2,3,1] => [2,3,1] => [3,-2,1] => 1
[2,-3,1] => [2,3,1] => [2,3,1] => [3,-2,1] => 1
[2,-3,-1] => [2,3,1] => [2,3,1] => [3,-2,1] => 1
[-2,3,1] => [2,3,1] => [2,3,1] => [3,-2,1] => 1
[-2,3,-1] => [2,3,1] => [2,3,1] => [3,-2,1] => 1
[-2,-3,1] => [2,3,1] => [2,3,1] => [3,-2,1] => 1
[-2,-3,-1] => [2,3,1] => [2,3,1] => [3,-2,1] => 1
[3,1,2] => [3,1,2] => [3,1,2] => [3,1,2] => 0
[3,1,-2] => [3,1,2] => [3,1,2] => [3,1,2] => 0
[3,-1,2] => [3,1,2] => [3,1,2] => [3,1,2] => 0
[3,-1,-2] => [3,1,2] => [3,1,2] => [3,1,2] => 0
[-3,1,2] => [3,1,2] => [3,1,2] => [3,1,2] => 0
[-3,1,-2] => [3,1,2] => [3,1,2] => [3,1,2] => 0
[-3,-1,2] => [3,1,2] => [3,1,2] => [3,1,2] => 0
[-3,-1,-2] => [3,1,2] => [3,1,2] => [3,1,2] => 0
[3,2,1] => [3,2,1] => [3,2,1] => [-2,-3,1] => 0
[3,2,-1] => [3,2,1] => [3,2,1] => [-2,-3,1] => 0
[3,-2,1] => [3,2,1] => [3,2,1] => [-2,-3,1] => 0
[3,-2,-1] => [3,2,1] => [3,2,1] => [-2,-3,1] => 0
[-3,2,1] => [3,2,1] => [3,2,1] => [-2,-3,1] => 0
[-3,2,-1] => [3,2,1] => [3,2,1] => [-2,-3,1] => 0
[-3,-2,1] => [3,2,1] => [3,2,1] => [-2,-3,1] => 0
[-3,-2,-1] => [3,2,1] => [3,2,1] => [-2,-3,1] => 0
[1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 1
[1,2,3,-4] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 1
[1,2,-3,4] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 1
[1,2,-3,-4] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 1
[1,-2,3,4] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 1
[1,-2,3,-4] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 1
[1,-2,-3,4] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 1
[1,-2,-3,-4] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 1
[-1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 1
[-1,2,3,-4] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 1
[-1,2,-3,4] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 1
[-1,2,-3,-4] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 1
[-1,-2,3,4] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 1
[-1,-2,3,-4] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 1
[-1,-2,-3,4] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 1
[-1,-2,-3,-4] => [1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 1
[1,2,4,3] => [1,2,4,3] => [1,2,4,3] => [1,2,-4,3] => 0
[1,2,4,-3] => [1,2,4,3] => [1,2,4,3] => [1,2,-4,3] => 0
[1,2,-4,3] => [1,2,4,3] => [1,2,4,3] => [1,2,-4,3] => 0
[1,2,-4,-3] => [1,2,4,3] => [1,2,4,3] => [1,2,-4,3] => 0
[1,-2,4,3] => [1,2,4,3] => [1,2,4,3] => [1,2,-4,3] => 0
[1,-2,4,-3] => [1,2,4,3] => [1,2,4,3] => [1,2,-4,3] => 0
[1,-2,-4,3] => [1,2,4,3] => [1,2,4,3] => [1,2,-4,3] => 0
[1,-2,-4,-3] => [1,2,4,3] => [1,2,4,3] => [1,2,-4,3] => 0
[-1,2,4,3] => [1,2,4,3] => [1,2,4,3] => [1,2,-4,3] => 0
[-1,2,4,-3] => [1,2,4,3] => [1,2,4,3] => [1,2,-4,3] => 0
[-1,2,-4,3] => [1,2,4,3] => [1,2,4,3] => [1,2,-4,3] => 0
[-1,2,-4,-3] => [1,2,4,3] => [1,2,4,3] => [1,2,-4,3] => 0
[-1,-2,4,3] => [1,2,4,3] => [1,2,4,3] => [1,2,-4,3] => 0
[-1,-2,4,-3] => [1,2,4,3] => [1,2,4,3] => [1,2,-4,3] => 0
[-1,-2,-4,3] => [1,2,4,3] => [1,2,4,3] => [1,2,-4,3] => 0
[-1,-2,-4,-3] => [1,2,4,3] => [1,2,4,3] => [1,2,-4,3] => 0
[1,3,2,4] => [1,3,2,4] => [1,3,2,4] => [1,-3,2,4] => 0
[1,3,2,-4] => [1,3,2,4] => [1,3,2,4] => [1,-3,2,4] => 0
[1,3,-2,4] => [1,3,2,4] => [1,3,2,4] => [1,-3,2,4] => 0
[1,3,-2,-4] => [1,3,2,4] => [1,3,2,4] => [1,-3,2,4] => 0
[1,-3,2,4] => [1,3,2,4] => [1,3,2,4] => [1,-3,2,4] => 0
[1,-3,2,-4] => [1,3,2,4] => [1,3,2,4] => [1,-3,2,4] => 0
[1,-3,-2,4] => [1,3,2,4] => [1,3,2,4] => [1,-3,2,4] => 0
[1,-3,-2,-4] => [1,3,2,4] => [1,3,2,4] => [1,-3,2,4] => 0
[-1,3,2,4] => [1,3,2,4] => [1,3,2,4] => [1,-3,2,4] => 0
[-1,3,2,-4] => [1,3,2,4] => [1,3,2,4] => [1,-3,2,4] => 0
[-1,3,-2,4] => [1,3,2,4] => [1,3,2,4] => [1,-3,2,4] => 0
>>> Load all 1210 entries. <<<[-1,3,-2,-4] => [1,3,2,4] => [1,3,2,4] => [1,-3,2,4] => 0
[-1,-3,2,4] => [1,3,2,4] => [1,3,2,4] => [1,-3,2,4] => 0
[-1,-3,2,-4] => [1,3,2,4] => [1,3,2,4] => [1,-3,2,4] => 0
[-1,-3,-2,4] => [1,3,2,4] => [1,3,2,4] => [1,-3,2,4] => 0
[-1,-3,-2,-4] => [1,3,2,4] => [1,3,2,4] => [1,-3,2,4] => 0
[1,3,4,2] => [1,3,4,2] => [1,3,4,2] => [1,4,-3,2] => 1
[1,3,4,-2] => [1,3,4,2] => [1,3,4,2] => [1,4,-3,2] => 1
[1,3,-4,2] => [1,3,4,2] => [1,3,4,2] => [1,4,-3,2] => 1
[1,3,-4,-2] => [1,3,4,2] => [1,3,4,2] => [1,4,-3,2] => 1
[1,-3,4,2] => [1,3,4,2] => [1,3,4,2] => [1,4,-3,2] => 1
[1,-3,4,-2] => [1,3,4,2] => [1,3,4,2] => [1,4,-3,2] => 1
[1,-3,-4,2] => [1,3,4,2] => [1,3,4,2] => [1,4,-3,2] => 1
[1,-3,-4,-2] => [1,3,4,2] => [1,3,4,2] => [1,4,-3,2] => 1
[-1,3,4,2] => [1,3,4,2] => [1,3,4,2] => [1,4,-3,2] => 1
[-1,3,4,-2] => [1,3,4,2] => [1,3,4,2] => [1,4,-3,2] => 1
[-1,3,-4,2] => [1,3,4,2] => [1,3,4,2] => [1,4,-3,2] => 1
[-1,3,-4,-2] => [1,3,4,2] => [1,3,4,2] => [1,4,-3,2] => 1
[-1,-3,4,2] => [1,3,4,2] => [1,3,4,2] => [1,4,-3,2] => 1
[-1,-3,4,-2] => [1,3,4,2] => [1,3,4,2] => [1,4,-3,2] => 1
[-1,-3,-4,2] => [1,3,4,2] => [1,3,4,2] => [1,4,-3,2] => 1
[-1,-3,-4,-2] => [1,3,4,2] => [1,3,4,2] => [1,4,-3,2] => 1
[1,4,2,3] => [1,4,2,3] => [1,4,2,3] => [-4,1,2,3] => 0
[1,4,2,-3] => [1,4,2,3] => [1,4,2,3] => [-4,1,2,3] => 0
[1,4,-2,3] => [1,4,2,3] => [1,4,2,3] => [-4,1,2,3] => 0
[1,4,-2,-3] => [1,4,2,3] => [1,4,2,3] => [-4,1,2,3] => 0
[1,-4,2,3] => [1,4,2,3] => [1,4,2,3] => [-4,1,2,3] => 0
[1,-4,2,-3] => [1,4,2,3] => [1,4,2,3] => [-4,1,2,3] => 0
[1,-4,-2,3] => [1,4,2,3] => [1,4,2,3] => [-4,1,2,3] => 0
[1,-4,-2,-3] => [1,4,2,3] => [1,4,2,3] => [-4,1,2,3] => 0
[-1,4,2,3] => [1,4,2,3] => [1,4,2,3] => [-4,1,2,3] => 0
[-1,4,2,-3] => [1,4,2,3] => [1,4,2,3] => [-4,1,2,3] => 0
[-1,4,-2,3] => [1,4,2,3] => [1,4,2,3] => [-4,1,2,3] => 0
[-1,4,-2,-3] => [1,4,2,3] => [1,4,2,3] => [-4,1,2,3] => 0
[-1,-4,2,3] => [1,4,2,3] => [1,4,2,3] => [-4,1,2,3] => 0
[-1,-4,2,-3] => [1,4,2,3] => [1,4,2,3] => [-4,1,2,3] => 0
[-1,-4,-2,3] => [1,4,2,3] => [1,4,2,3] => [-4,1,2,3] => 0
[-1,-4,-2,-3] => [1,4,2,3] => [1,4,2,3] => [-4,1,2,3] => 0
[1,4,3,2] => [1,4,3,2] => [1,4,3,2] => [1,-3,-4,2] => 0
[1,4,3,-2] => [1,4,3,2] => [1,4,3,2] => [1,-3,-4,2] => 0
[1,4,-3,2] => [1,4,3,2] => [1,4,3,2] => [1,-3,-4,2] => 0
[1,4,-3,-2] => [1,4,3,2] => [1,4,3,2] => [1,-3,-4,2] => 0
[1,-4,3,2] => [1,4,3,2] => [1,4,3,2] => [1,-3,-4,2] => 0
[1,-4,3,-2] => [1,4,3,2] => [1,4,3,2] => [1,-3,-4,2] => 0
[1,-4,-3,2] => [1,4,3,2] => [1,4,3,2] => [1,-3,-4,2] => 0
[1,-4,-3,-2] => [1,4,3,2] => [1,4,3,2] => [1,-3,-4,2] => 0
[-1,4,3,2] => [1,4,3,2] => [1,4,3,2] => [1,-3,-4,2] => 0
[-1,4,3,-2] => [1,4,3,2] => [1,4,3,2] => [1,-3,-4,2] => 0
[-1,4,-3,2] => [1,4,3,2] => [1,4,3,2] => [1,-3,-4,2] => 0
[-1,4,-3,-2] => [1,4,3,2] => [1,4,3,2] => [1,-3,-4,2] => 0
[-1,-4,3,2] => [1,4,3,2] => [1,4,3,2] => [1,-3,-4,2] => 0
[-1,-4,3,-2] => [1,4,3,2] => [1,4,3,2] => [1,-3,-4,2] => 0
[-1,-4,-3,2] => [1,4,3,2] => [1,4,3,2] => [1,-3,-4,2] => 0
[-1,-4,-3,-2] => [1,4,3,2] => [1,4,3,2] => [1,-3,-4,2] => 0
[2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [-2,1,3,4] => 0
[2,1,3,-4] => [2,1,3,4] => [2,1,3,4] => [-2,1,3,4] => 0
[2,1,-3,4] => [2,1,3,4] => [2,1,3,4] => [-2,1,3,4] => 0
[2,1,-3,-4] => [2,1,3,4] => [2,1,3,4] => [-2,1,3,4] => 0
[2,-1,3,4] => [2,1,3,4] => [2,1,3,4] => [-2,1,3,4] => 0
[2,-1,3,-4] => [2,1,3,4] => [2,1,3,4] => [-2,1,3,4] => 0
[2,-1,-3,4] => [2,1,3,4] => [2,1,3,4] => [-2,1,3,4] => 0
[2,-1,-3,-4] => [2,1,3,4] => [2,1,3,4] => [-2,1,3,4] => 0
[-2,1,3,4] => [2,1,3,4] => [2,1,3,4] => [-2,1,3,4] => 0
[-2,1,3,-4] => [2,1,3,4] => [2,1,3,4] => [-2,1,3,4] => 0
[-2,1,-3,4] => [2,1,3,4] => [2,1,3,4] => [-2,1,3,4] => 0
[-2,1,-3,-4] => [2,1,3,4] => [2,1,3,4] => [-2,1,3,4] => 0
[-2,-1,3,4] => [2,1,3,4] => [2,1,3,4] => [-2,1,3,4] => 0
[-2,-1,3,-4] => [2,1,3,4] => [2,1,3,4] => [-2,1,3,4] => 0
[-2,-1,-3,4] => [2,1,3,4] => [2,1,3,4] => [-2,1,3,4] => 0
[-2,-1,-3,-4] => [2,1,3,4] => [2,1,3,4] => [-2,1,3,4] => 0
[2,1,4,3] => [2,1,4,3] => [2,1,4,3] => [-2,1,-4,3] => 0
[2,1,4,-3] => [2,1,4,3] => [2,1,4,3] => [-2,1,-4,3] => 0
[2,1,-4,3] => [2,1,4,3] => [2,1,4,3] => [-2,1,-4,3] => 0
[2,1,-4,-3] => [2,1,4,3] => [2,1,4,3] => [-2,1,-4,3] => 0
[2,-1,4,3] => [2,1,4,3] => [2,1,4,3] => [-2,1,-4,3] => 0
[2,-1,4,-3] => [2,1,4,3] => [2,1,4,3] => [-2,1,-4,3] => 0
[2,-1,-4,3] => [2,1,4,3] => [2,1,4,3] => [-2,1,-4,3] => 0
[2,-1,-4,-3] => [2,1,4,3] => [2,1,4,3] => [-2,1,-4,3] => 0
[-2,1,4,3] => [2,1,4,3] => [2,1,4,3] => [-2,1,-4,3] => 0
[-2,1,4,-3] => [2,1,4,3] => [2,1,4,3] => [-2,1,-4,3] => 0
[-2,1,-4,3] => [2,1,4,3] => [2,1,4,3] => [-2,1,-4,3] => 0
[-2,1,-4,-3] => [2,1,4,3] => [2,1,4,3] => [-2,1,-4,3] => 0
[-2,-1,4,3] => [2,1,4,3] => [2,1,4,3] => [-2,1,-4,3] => 0
[-2,-1,4,-3] => [2,1,4,3] => [2,1,4,3] => [-2,1,-4,3] => 0
[-2,-1,-4,3] => [2,1,4,3] => [2,1,4,3] => [-2,1,-4,3] => 0
[-2,-1,-4,-3] => [2,1,4,3] => [2,1,4,3] => [-2,1,-4,3] => 0
[2,3,1,4] => [2,3,1,4] => [2,3,1,4] => [3,-2,1,4] => 1
[2,3,1,-4] => [2,3,1,4] => [2,3,1,4] => [3,-2,1,4] => 1
[2,3,-1,4] => [2,3,1,4] => [2,3,1,4] => [3,-2,1,4] => 1
[2,3,-1,-4] => [2,3,1,4] => [2,3,1,4] => [3,-2,1,4] => 1
[2,-3,1,4] => [2,3,1,4] => [2,3,1,4] => [3,-2,1,4] => 1
[2,-3,1,-4] => [2,3,1,4] => [2,3,1,4] => [3,-2,1,4] => 1
[2,-3,-1,4] => [2,3,1,4] => [2,3,1,4] => [3,-2,1,4] => 1
[2,-3,-1,-4] => [2,3,1,4] => [2,3,1,4] => [3,-2,1,4] => 1
[-2,3,1,4] => [2,3,1,4] => [2,3,1,4] => [3,-2,1,4] => 1
[-2,3,1,-4] => [2,3,1,4] => [2,3,1,4] => [3,-2,1,4] => 1
[-2,3,-1,4] => [2,3,1,4] => [2,3,1,4] => [3,-2,1,4] => 1
[-2,3,-1,-4] => [2,3,1,4] => [2,3,1,4] => [3,-2,1,4] => 1
[-2,-3,1,4] => [2,3,1,4] => [2,3,1,4] => [3,-2,1,4] => 1
[-2,-3,1,-4] => [2,3,1,4] => [2,3,1,4] => [3,-2,1,4] => 1
[-2,-3,-1,4] => [2,3,1,4] => [2,3,1,4] => [3,-2,1,4] => 1
[-2,-3,-1,-4] => [2,3,1,4] => [2,3,1,4] => [3,-2,1,4] => 1
[2,3,4,1] => [2,3,4,1] => [2,3,4,1] => [3,4,-2,1] => 0
[2,3,4,-1] => [2,3,4,1] => [2,3,4,1] => [3,4,-2,1] => 0
[2,3,-4,1] => [2,3,4,1] => [2,3,4,1] => [3,4,-2,1] => 0
[2,3,-4,-1] => [2,3,4,1] => [2,3,4,1] => [3,4,-2,1] => 0
[2,-3,4,1] => [2,3,4,1] => [2,3,4,1] => [3,4,-2,1] => 0
[2,-3,4,-1] => [2,3,4,1] => [2,3,4,1] => [3,4,-2,1] => 0
[2,-3,-4,1] => [2,3,4,1] => [2,3,4,1] => [3,4,-2,1] => 0
[2,-3,-4,-1] => [2,3,4,1] => [2,3,4,1] => [3,4,-2,1] => 0
[-2,3,4,1] => [2,3,4,1] => [2,3,4,1] => [3,4,-2,1] => 0
[-2,3,4,-1] => [2,3,4,1] => [2,3,4,1] => [3,4,-2,1] => 0
[-2,3,-4,1] => [2,3,4,1] => [2,3,4,1] => [3,4,-2,1] => 0
[-2,3,-4,-1] => [2,3,4,1] => [2,3,4,1] => [3,4,-2,1] => 0
[-2,-3,4,1] => [2,3,4,1] => [2,3,4,1] => [3,4,-2,1] => 0
[-2,-3,4,-1] => [2,3,4,1] => [2,3,4,1] => [3,4,-2,1] => 0
[-2,-3,-4,1] => [2,3,4,1] => [2,3,4,1] => [3,4,-2,1] => 0
[-2,-3,-4,-1] => [2,3,4,1] => [2,3,4,1] => [3,4,-2,1] => 0
[2,4,1,3] => [2,4,1,3] => [2,4,1,3] => [-2,4,1,3] => 0
[2,4,1,-3] => [2,4,1,3] => [2,4,1,3] => [-2,4,1,3] => 0
[2,4,-1,3] => [2,4,1,3] => [2,4,1,3] => [-2,4,1,3] => 0
[2,4,-1,-3] => [2,4,1,3] => [2,4,1,3] => [-2,4,1,3] => 0
[2,-4,1,3] => [2,4,1,3] => [2,4,1,3] => [-2,4,1,3] => 0
[2,-4,1,-3] => [2,4,1,3] => [2,4,1,3] => [-2,4,1,3] => 0
[2,-4,-1,3] => [2,4,1,3] => [2,4,1,3] => [-2,4,1,3] => 0
[2,-4,-1,-3] => [2,4,1,3] => [2,4,1,3] => [-2,4,1,3] => 0
[-2,4,1,3] => [2,4,1,3] => [2,4,1,3] => [-2,4,1,3] => 0
[-2,4,1,-3] => [2,4,1,3] => [2,4,1,3] => [-2,4,1,3] => 0
[-2,4,-1,3] => [2,4,1,3] => [2,4,1,3] => [-2,4,1,3] => 0
[-2,4,-1,-3] => [2,4,1,3] => [2,4,1,3] => [-2,4,1,3] => 0
[-2,-4,1,3] => [2,4,1,3] => [2,4,1,3] => [-2,4,1,3] => 0
[-2,-4,1,-3] => [2,4,1,3] => [2,4,1,3] => [-2,4,1,3] => 0
[-2,-4,-1,3] => [2,4,1,3] => [2,4,1,3] => [-2,4,1,3] => 0
[-2,-4,-1,-3] => [2,4,1,3] => [2,4,1,3] => [-2,4,1,3] => 0
[2,4,3,1] => [2,4,3,1] => [2,4,3,1] => [3,-2,-4,1] => 0
[2,4,3,-1] => [2,4,3,1] => [2,4,3,1] => [3,-2,-4,1] => 0
[2,4,-3,1] => [2,4,3,1] => [2,4,3,1] => [3,-2,-4,1] => 0
[2,4,-3,-1] => [2,4,3,1] => [2,4,3,1] => [3,-2,-4,1] => 0
[2,-4,3,1] => [2,4,3,1] => [2,4,3,1] => [3,-2,-4,1] => 0
[2,-4,3,-1] => [2,4,3,1] => [2,4,3,1] => [3,-2,-4,1] => 0
[2,-4,-3,1] => [2,4,3,1] => [2,4,3,1] => [3,-2,-4,1] => 0
[2,-4,-3,-1] => [2,4,3,1] => [2,4,3,1] => [3,-2,-4,1] => 0
[-2,4,3,1] => [2,4,3,1] => [2,4,3,1] => [3,-2,-4,1] => 0
[-2,4,3,-1] => [2,4,3,1] => [2,4,3,1] => [3,-2,-4,1] => 0
[-2,4,-3,1] => [2,4,3,1] => [2,4,3,1] => [3,-2,-4,1] => 0
[-2,4,-3,-1] => [2,4,3,1] => [2,4,3,1] => [3,-2,-4,1] => 0
[-2,-4,3,1] => [2,4,3,1] => [2,4,3,1] => [3,-2,-4,1] => 0
[-2,-4,3,-1] => [2,4,3,1] => [2,4,3,1] => [3,-2,-4,1] => 0
[-2,-4,-3,1] => [2,4,3,1] => [2,4,3,1] => [3,-2,-4,1] => 0
[-2,-4,-3,-1] => [2,4,3,1] => [2,4,3,1] => [3,-2,-4,1] => 0
[3,1,2,4] => [3,1,2,4] => [3,1,2,4] => [3,1,2,4] => 0
[3,1,2,-4] => [3,1,2,4] => [3,1,2,4] => [3,1,2,4] => 0
[3,1,-2,4] => [3,1,2,4] => [3,1,2,4] => [3,1,2,4] => 0
[3,1,-2,-4] => [3,1,2,4] => [3,1,2,4] => [3,1,2,4] => 0
[3,-1,2,4] => [3,1,2,4] => [3,1,2,4] => [3,1,2,4] => 0
[3,-1,2,-4] => [3,1,2,4] => [3,1,2,4] => [3,1,2,4] => 0
[3,-1,-2,4] => [3,1,2,4] => [3,1,2,4] => [3,1,2,4] => 0
[3,-1,-2,-4] => [3,1,2,4] => [3,1,2,4] => [3,1,2,4] => 0
[-3,1,2,4] => [3,1,2,4] => [3,1,2,4] => [3,1,2,4] => 0
[-3,1,2,-4] => [3,1,2,4] => [3,1,2,4] => [3,1,2,4] => 0
[-3,1,-2,4] => [3,1,2,4] => [3,1,2,4] => [3,1,2,4] => 0
[-3,1,-2,-4] => [3,1,2,4] => [3,1,2,4] => [3,1,2,4] => 0
[-3,-1,2,4] => [3,1,2,4] => [3,1,2,4] => [3,1,2,4] => 0
[-3,-1,2,-4] => [3,1,2,4] => [3,1,2,4] => [3,1,2,4] => 0
[-3,-1,-2,4] => [3,1,2,4] => [3,1,2,4] => [3,1,2,4] => 0
[-3,-1,-2,-4] => [3,1,2,4] => [3,1,2,4] => [3,1,2,4] => 0
[3,1,4,2] => [3,1,4,2] => [3,1,4,2] => [-4,1,-3,2] => 0
[3,1,4,-2] => [3,1,4,2] => [3,1,4,2] => [-4,1,-3,2] => 0
[3,1,-4,2] => [3,1,4,2] => [3,1,4,2] => [-4,1,-3,2] => 0
[3,1,-4,-2] => [3,1,4,2] => [3,1,4,2] => [-4,1,-3,2] => 0
[3,-1,4,2] => [3,1,4,2] => [3,1,4,2] => [-4,1,-3,2] => 0
[3,-1,4,-2] => [3,1,4,2] => [3,1,4,2] => [-4,1,-3,2] => 0
[3,-1,-4,2] => [3,1,4,2] => [3,1,4,2] => [-4,1,-3,2] => 0
[3,-1,-4,-2] => [3,1,4,2] => [3,1,4,2] => [-4,1,-3,2] => 0
[-3,1,4,2] => [3,1,4,2] => [3,1,4,2] => [-4,1,-3,2] => 0
[-3,1,4,-2] => [3,1,4,2] => [3,1,4,2] => [-4,1,-3,2] => 0
[-3,1,-4,2] => [3,1,4,2] => [3,1,4,2] => [-4,1,-3,2] => 0
[-3,1,-4,-2] => [3,1,4,2] => [3,1,4,2] => [-4,1,-3,2] => 0
[-3,-1,4,2] => [3,1,4,2] => [3,1,4,2] => [-4,1,-3,2] => 0
[-3,-1,4,-2] => [3,1,4,2] => [3,1,4,2] => [-4,1,-3,2] => 0
[-3,-1,-4,2] => [3,1,4,2] => [3,1,4,2] => [-4,1,-3,2] => 0
[-3,-1,-4,-2] => [3,1,4,2] => [3,1,4,2] => [-4,1,-3,2] => 0
[3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [-2,-3,1,4] => 0
[3,2,1,-4] => [3,2,1,4] => [3,2,1,4] => [-2,-3,1,4] => 0
[3,2,-1,4] => [3,2,1,4] => [3,2,1,4] => [-2,-3,1,4] => 0
[3,2,-1,-4] => [3,2,1,4] => [3,2,1,4] => [-2,-3,1,4] => 0
[3,-2,1,4] => [3,2,1,4] => [3,2,1,4] => [-2,-3,1,4] => 0
[3,-2,1,-4] => [3,2,1,4] => [3,2,1,4] => [-2,-3,1,4] => 0
[3,-2,-1,4] => [3,2,1,4] => [3,2,1,4] => [-2,-3,1,4] => 0
[3,-2,-1,-4] => [3,2,1,4] => [3,2,1,4] => [-2,-3,1,4] => 0
[-3,2,1,4] => [3,2,1,4] => [3,2,1,4] => [-2,-3,1,4] => 0
[-3,2,1,-4] => [3,2,1,4] => [3,2,1,4] => [-2,-3,1,4] => 0
[-3,2,-1,4] => [3,2,1,4] => [3,2,1,4] => [-2,-3,1,4] => 0
[-3,2,-1,-4] => [3,2,1,4] => [3,2,1,4] => [-2,-3,1,4] => 0
[-3,-2,1,4] => [3,2,1,4] => [3,2,1,4] => [-2,-3,1,4] => 0
[-3,-2,1,-4] => [3,2,1,4] => [3,2,1,4] => [-2,-3,1,4] => 0
[-3,-2,-1,4] => [3,2,1,4] => [3,2,1,4] => [-2,-3,1,4] => 0
[-3,-2,-1,-4] => [3,2,1,4] => [3,2,1,4] => [-2,-3,1,4] => 0
[3,2,4,1] => [3,2,4,1] => [3,2,4,1] => [-2,4,-3,1] => 0
[3,2,4,-1] => [3,2,4,1] => [3,2,4,1] => [-2,4,-3,1] => 0
[3,2,-4,1] => [3,2,4,1] => [3,2,4,1] => [-2,4,-3,1] => 0
[3,2,-4,-1] => [3,2,4,1] => [3,2,4,1] => [-2,4,-3,1] => 0
[3,-2,4,1] => [3,2,4,1] => [3,2,4,1] => [-2,4,-3,1] => 0
[3,-2,4,-1] => [3,2,4,1] => [3,2,4,1] => [-2,4,-3,1] => 0
[3,-2,-4,1] => [3,2,4,1] => [3,2,4,1] => [-2,4,-3,1] => 0
[3,-2,-4,-1] => [3,2,4,1] => [3,2,4,1] => [-2,4,-3,1] => 0
[-3,2,4,1] => [3,2,4,1] => [3,2,4,1] => [-2,4,-3,1] => 0
[-3,2,4,-1] => [3,2,4,1] => [3,2,4,1] => [-2,4,-3,1] => 0
[-3,2,-4,1] => [3,2,4,1] => [3,2,4,1] => [-2,4,-3,1] => 0
[-3,2,-4,-1] => [3,2,4,1] => [3,2,4,1] => [-2,4,-3,1] => 0
[-3,-2,4,1] => [3,2,4,1] => [3,2,4,1] => [-2,4,-3,1] => 0
[-3,-2,4,-1] => [3,2,4,1] => [3,2,4,1] => [-2,4,-3,1] => 0
[-3,-2,-4,1] => [3,2,4,1] => [3,2,4,1] => [-2,4,-3,1] => 0
[-3,-2,-4,-1] => [3,2,4,1] => [3,2,4,1] => [-2,4,-3,1] => 0
[3,4,1,2] => [3,4,1,2] => [3,4,1,2] => [3,4,1,2] => 1
[3,4,1,-2] => [3,4,1,2] => [3,4,1,2] => [3,4,1,2] => 1
[3,4,-1,2] => [3,4,1,2] => [3,4,1,2] => [3,4,1,2] => 1
[3,4,-1,-2] => [3,4,1,2] => [3,4,1,2] => [3,4,1,2] => 1
[3,-4,1,2] => [3,4,1,2] => [3,4,1,2] => [3,4,1,2] => 1
[3,-4,1,-2] => [3,4,1,2] => [3,4,1,2] => [3,4,1,2] => 1
[3,-4,-1,2] => [3,4,1,2] => [3,4,1,2] => [3,4,1,2] => 1
[3,-4,-1,-2] => [3,4,1,2] => [3,4,1,2] => [3,4,1,2] => 1
[-3,4,1,2] => [3,4,1,2] => [3,4,1,2] => [3,4,1,2] => 1
[-3,4,1,-2] => [3,4,1,2] => [3,4,1,2] => [3,4,1,2] => 1
[-3,4,-1,2] => [3,4,1,2] => [3,4,1,2] => [3,4,1,2] => 1
[-3,4,-1,-2] => [3,4,1,2] => [3,4,1,2] => [3,4,1,2] => 1
[-3,-4,1,2] => [3,4,1,2] => [3,4,1,2] => [3,4,1,2] => 1
[-3,-4,1,-2] => [3,4,1,2] => [3,4,1,2] => [3,4,1,2] => 1
[-3,-4,-1,2] => [3,4,1,2] => [3,4,1,2] => [3,4,1,2] => 1
[-3,-4,-1,-2] => [3,4,1,2] => [3,4,1,2] => [3,4,1,2] => 1
[3,4,2,1] => [3,4,2,1] => [3,4,2,1] => [2,-4,-3,1] => 0
[3,4,2,-1] => [3,4,2,1] => [3,4,2,1] => [2,-4,-3,1] => 0
[3,4,-2,1] => [3,4,2,1] => [3,4,2,1] => [2,-4,-3,1] => 0
[3,4,-2,-1] => [3,4,2,1] => [3,4,2,1] => [2,-4,-3,1] => 0
[3,-4,2,1] => [3,4,2,1] => [3,4,2,1] => [2,-4,-3,1] => 0
[3,-4,2,-1] => [3,4,2,1] => [3,4,2,1] => [2,-4,-3,1] => 0
[3,-4,-2,1] => [3,4,2,1] => [3,4,2,1] => [2,-4,-3,1] => 0
[3,-4,-2,-1] => [3,4,2,1] => [3,4,2,1] => [2,-4,-3,1] => 0
[-3,4,2,1] => [3,4,2,1] => [3,4,2,1] => [2,-4,-3,1] => 0
[-3,4,2,-1] => [3,4,2,1] => [3,4,2,1] => [2,-4,-3,1] => 0
[-3,4,-2,1] => [3,4,2,1] => [3,4,2,1] => [2,-4,-3,1] => 0
[-3,4,-2,-1] => [3,4,2,1] => [3,4,2,1] => [2,-4,-3,1] => 0
[-3,-4,2,1] => [3,4,2,1] => [3,4,2,1] => [2,-4,-3,1] => 0
[-3,-4,2,-1] => [3,4,2,1] => [3,4,2,1] => [2,-4,-3,1] => 0
[-3,-4,-2,1] => [3,4,2,1] => [3,4,2,1] => [2,-4,-3,1] => 0
[-3,-4,-2,-1] => [3,4,2,1] => [3,4,2,1] => [2,-4,-3,1] => 0
[4,1,2,3] => [4,1,2,3] => [4,1,2,3] => [1,4,2,3] => 0
[4,1,2,-3] => [4,1,2,3] => [4,1,2,3] => [1,4,2,3] => 0
[4,1,-2,3] => [4,1,2,3] => [4,1,2,3] => [1,4,2,3] => 0
[4,1,-2,-3] => [4,1,2,3] => [4,1,2,3] => [1,4,2,3] => 0
[4,-1,2,3] => [4,1,2,3] => [4,1,2,3] => [1,4,2,3] => 0
[4,-1,2,-3] => [4,1,2,3] => [4,1,2,3] => [1,4,2,3] => 0
[4,-1,-2,3] => [4,1,2,3] => [4,1,2,3] => [1,4,2,3] => 0
[4,-1,-2,-3] => [4,1,2,3] => [4,1,2,3] => [1,4,2,3] => 0
[-4,1,2,3] => [4,1,2,3] => [4,1,2,3] => [1,4,2,3] => 0
[-4,1,2,-3] => [4,1,2,3] => [4,1,2,3] => [1,4,2,3] => 0
[-4,1,-2,3] => [4,1,2,3] => [4,1,2,3] => [1,4,2,3] => 0
[-4,1,-2,-3] => [4,1,2,3] => [4,1,2,3] => [1,4,2,3] => 0
[-4,-1,2,3] => [4,1,2,3] => [4,1,2,3] => [1,4,2,3] => 0
[-4,-1,2,-3] => [4,1,2,3] => [4,1,2,3] => [1,4,2,3] => 0
[-4,-1,-2,3] => [4,1,2,3] => [4,1,2,3] => [1,4,2,3] => 0
[-4,-1,-2,-3] => [4,1,2,3] => [4,1,2,3] => [1,4,2,3] => 0
[4,1,3,2] => [4,1,3,2] => [4,1,3,2] => [3,1,-4,2] => 0
[4,1,3,-2] => [4,1,3,2] => [4,1,3,2] => [3,1,-4,2] => 0
[4,1,-3,2] => [4,1,3,2] => [4,1,3,2] => [3,1,-4,2] => 0
[4,1,-3,-2] => [4,1,3,2] => [4,1,3,2] => [3,1,-4,2] => 0
[4,-1,3,2] => [4,1,3,2] => [4,1,3,2] => [3,1,-4,2] => 0
[4,-1,3,-2] => [4,1,3,2] => [4,1,3,2] => [3,1,-4,2] => 0
[4,-1,-3,2] => [4,1,3,2] => [4,1,3,2] => [3,1,-4,2] => 0
[4,-1,-3,-2] => [4,1,3,2] => [4,1,3,2] => [3,1,-4,2] => 0
[-4,1,3,2] => [4,1,3,2] => [4,1,3,2] => [3,1,-4,2] => 0
[-4,1,3,-2] => [4,1,3,2] => [4,1,3,2] => [3,1,-4,2] => 0
[-4,1,-3,2] => [4,1,3,2] => [4,1,3,2] => [3,1,-4,2] => 0
[-4,1,-3,-2] => [4,1,3,2] => [4,1,3,2] => [3,1,-4,2] => 0
[-4,-1,3,2] => [4,1,3,2] => [4,1,3,2] => [3,1,-4,2] => 0
[-4,-1,3,-2] => [4,1,3,2] => [4,1,3,2] => [3,1,-4,2] => 0
[-4,-1,-3,2] => [4,1,3,2] => [4,1,3,2] => [3,1,-4,2] => 0
[-4,-1,-3,-2] => [4,1,3,2] => [4,1,3,2] => [3,1,-4,2] => 0
[4,2,1,3] => [4,2,1,3] => [4,2,1,3] => [-4,-2,1,3] => 0
[4,2,1,-3] => [4,2,1,3] => [4,2,1,3] => [-4,-2,1,3] => 0
[4,2,-1,3] => [4,2,1,3] => [4,2,1,3] => [-4,-2,1,3] => 0
[4,2,-1,-3] => [4,2,1,3] => [4,2,1,3] => [-4,-2,1,3] => 0
[4,-2,1,3] => [4,2,1,3] => [4,2,1,3] => [-4,-2,1,3] => 0
[4,-2,1,-3] => [4,2,1,3] => [4,2,1,3] => [-4,-2,1,3] => 0
[4,-2,-1,3] => [4,2,1,3] => [4,2,1,3] => [-4,-2,1,3] => 0
[4,-2,-1,-3] => [4,2,1,3] => [4,2,1,3] => [-4,-2,1,3] => 0
[-4,2,1,3] => [4,2,1,3] => [4,2,1,3] => [-4,-2,1,3] => 0
[-4,2,1,-3] => [4,2,1,3] => [4,2,1,3] => [-4,-2,1,3] => 0
[-4,2,-1,3] => [4,2,1,3] => [4,2,1,3] => [-4,-2,1,3] => 0
[-4,2,-1,-3] => [4,2,1,3] => [4,2,1,3] => [-4,-2,1,3] => 0
[-4,-2,1,3] => [4,2,1,3] => [4,2,1,3] => [-4,-2,1,3] => 0
[-4,-2,1,-3] => [4,2,1,3] => [4,2,1,3] => [-4,-2,1,3] => 0
[-4,-2,-1,3] => [4,2,1,3] => [4,2,1,3] => [-4,-2,1,3] => 0
[-4,-2,-1,-3] => [4,2,1,3] => [4,2,1,3] => [-4,-2,1,3] => 0
[4,2,3,1] => [4,2,3,1] => [4,2,3,1] => [2,3,-4,1] => 0
[4,2,3,-1] => [4,2,3,1] => [4,2,3,1] => [2,3,-4,1] => 0
[4,2,-3,1] => [4,2,3,1] => [4,2,3,1] => [2,3,-4,1] => 0
[4,2,-3,-1] => [4,2,3,1] => [4,2,3,1] => [2,3,-4,1] => 0
[4,-2,3,1] => [4,2,3,1] => [4,2,3,1] => [2,3,-4,1] => 0
[4,-2,3,-1] => [4,2,3,1] => [4,2,3,1] => [2,3,-4,1] => 0
[4,-2,-3,1] => [4,2,3,1] => [4,2,3,1] => [2,3,-4,1] => 0
[4,-2,-3,-1] => [4,2,3,1] => [4,2,3,1] => [2,3,-4,1] => 0
[-4,2,3,1] => [4,2,3,1] => [4,2,3,1] => [2,3,-4,1] => 0
[-4,2,3,-1] => [4,2,3,1] => [4,2,3,1] => [2,3,-4,1] => 0
[-4,2,-3,1] => [4,2,3,1] => [4,2,3,1] => [2,3,-4,1] => 0
[-4,2,-3,-1] => [4,2,3,1] => [4,2,3,1] => [2,3,-4,1] => 0
[-4,-2,3,1] => [4,2,3,1] => [4,2,3,1] => [2,3,-4,1] => 0
[-4,-2,3,-1] => [4,2,3,1] => [4,2,3,1] => [2,3,-4,1] => 0
[-4,-2,-3,1] => [4,2,3,1] => [4,2,3,1] => [2,3,-4,1] => 0
[-4,-2,-3,-1] => [4,2,3,1] => [4,2,3,1] => [2,3,-4,1] => 0
[4,3,1,2] => [4,3,1,2] => [4,3,1,2] => [-4,3,1,2] => 0
[4,3,1,-2] => [4,3,1,2] => [4,3,1,2] => [-4,3,1,2] => 0
[4,3,-1,2] => [4,3,1,2] => [4,3,1,2] => [-4,3,1,2] => 0
[4,3,-1,-2] => [4,3,1,2] => [4,3,1,2] => [-4,3,1,2] => 0
[4,-3,1,2] => [4,3,1,2] => [4,3,1,2] => [-4,3,1,2] => 0
[4,-3,1,-2] => [4,3,1,2] => [4,3,1,2] => [-4,3,1,2] => 0
[4,-3,-1,2] => [4,3,1,2] => [4,3,1,2] => [-4,3,1,2] => 0
[4,-3,-1,-2] => [4,3,1,2] => [4,3,1,2] => [-4,3,1,2] => 0
[-4,3,1,2] => [4,3,1,2] => [4,3,1,2] => [-4,3,1,2] => 0
[-4,3,1,-2] => [4,3,1,2] => [4,3,1,2] => [-4,3,1,2] => 0
[-4,3,-1,2] => [4,3,1,2] => [4,3,1,2] => [-4,3,1,2] => 0
[-4,3,-1,-2] => [4,3,1,2] => [4,3,1,2] => [-4,3,1,2] => 0
[-4,-3,1,2] => [4,3,1,2] => [4,3,1,2] => [-4,3,1,2] => 0
[-4,-3,1,-2] => [4,3,1,2] => [4,3,1,2] => [-4,3,1,2] => 0
[-4,-3,-1,2] => [4,3,1,2] => [4,3,1,2] => [-4,3,1,2] => 0
[-4,-3,-1,-2] => [4,3,1,2] => [4,3,1,2] => [-4,3,1,2] => 0
[4,3,2,1] => [4,3,2,1] => [4,3,2,1] => [-2,-3,-4,1] => 0
[4,3,2,-1] => [4,3,2,1] => [4,3,2,1] => [-2,-3,-4,1] => 0
[4,3,-2,1] => [4,3,2,1] => [4,3,2,1] => [-2,-3,-4,1] => 0
[4,3,-2,-1] => [4,3,2,1] => [4,3,2,1] => [-2,-3,-4,1] => 0
[4,-3,2,1] => [4,3,2,1] => [4,3,2,1] => [-2,-3,-4,1] => 0
[4,-3,2,-1] => [4,3,2,1] => [4,3,2,1] => [-2,-3,-4,1] => 0
[4,-3,-2,1] => [4,3,2,1] => [4,3,2,1] => [-2,-3,-4,1] => 0
[4,-3,-2,-1] => [4,3,2,1] => [4,3,2,1] => [-2,-3,-4,1] => 0
[-4,3,2,1] => [4,3,2,1] => [4,3,2,1] => [-2,-3,-4,1] => 0
[-4,3,2,-1] => [4,3,2,1] => [4,3,2,1] => [-2,-3,-4,1] => 0
[-4,3,-2,1] => [4,3,2,1] => [4,3,2,1] => [-2,-3,-4,1] => 0
[-4,3,-2,-1] => [4,3,2,1] => [4,3,2,1] => [-2,-3,-4,1] => 0
[-4,-3,2,1] => [4,3,2,1] => [4,3,2,1] => [-2,-3,-4,1] => 0
[-4,-3,2,-1] => [4,3,2,1] => [4,3,2,1] => [-2,-3,-4,1] => 0
[-4,-3,-2,1] => [4,3,2,1] => [4,3,2,1] => [-2,-3,-4,1] => 0
[-4,-3,-2,-1] => [4,3,2,1] => [4,3,2,1] => [-2,-3,-4,1] => 0
[1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,2,3,4,-5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,2,3,-4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,2,3,-4,-5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,2,-3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,2,-3,4,-5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,2,-3,-4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,2,-3,-4,-5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,-2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,-2,3,4,-5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,-2,3,-4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,-2,3,-4,-5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,-2,-3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,-2,-3,4,-5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,-2,-3,-4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,-2,-3,-4,-5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[-1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[-1,2,3,4,-5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[-1,2,3,-4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[-1,2,3,-4,-5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[-1,2,-3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[-1,2,-3,4,-5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[-1,2,-3,-4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[-1,2,-3,-4,-5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[-1,-2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[-1,-2,3,4,-5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[-1,-2,3,-4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[-1,-2,3,-4,-5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[-1,-2,-3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[-1,-2,-3,4,-5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[-1,-2,-3,-4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[-1,-2,-3,-4,-5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 1
[1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[1,2,3,5,-4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[1,2,3,-5,4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[1,2,3,-5,-4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[1,2,-3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[1,2,-3,5,-4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[1,2,-3,-5,4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[1,2,-3,-5,-4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[1,-2,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[1,-2,3,5,-4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[1,-2,3,-5,4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[1,-2,3,-5,-4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[1,-2,-3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[1,-2,-3,5,-4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[1,-2,-3,-5,4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[1,-2,-3,-5,-4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[-1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[-1,2,3,5,-4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[-1,2,3,-5,4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[-1,2,3,-5,-4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[-1,2,-3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[-1,2,-3,5,-4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[-1,2,-3,-5,4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[-1,2,-3,-5,-4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[-1,-2,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[-1,-2,3,5,-4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[-1,-2,3,-5,4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[-1,-2,3,-5,-4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[-1,-2,-3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[-1,-2,-3,5,-4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[-1,-2,-3,-5,4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[-1,-2,-3,-5,-4] => [1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => 0
[1,2,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[1,2,4,3,-5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[1,2,4,-3,5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[1,2,4,-3,-5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[1,2,-4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[1,2,-4,3,-5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[1,2,-4,-3,5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[1,2,-4,-3,-5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[1,-2,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[1,-2,4,3,-5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[1,-2,4,-3,5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[1,-2,4,-3,-5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[1,-2,-4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[1,-2,-4,3,-5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[1,-2,-4,-3,5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[1,-2,-4,-3,-5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[-1,2,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[-1,2,4,3,-5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[-1,2,4,-3,5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[-1,2,4,-3,-5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[-1,2,-4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[-1,2,-4,3,-5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[-1,2,-4,-3,5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[-1,2,-4,-3,-5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[-1,-2,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[-1,-2,4,3,-5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[-1,-2,4,-3,5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[-1,-2,4,-3,-5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[-1,-2,-4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[-1,-2,-4,3,-5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[-1,-2,-4,-3,5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[-1,-2,-4,-3,-5] => [1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => 0
[1,2,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[1,2,4,5,-3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[1,2,4,-5,3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[1,2,4,-5,-3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[1,2,-4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[1,2,-4,5,-3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[1,2,-4,-5,3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[1,2,-4,-5,-3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[1,-2,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[1,-2,4,5,-3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[1,-2,4,-5,3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[1,-2,4,-5,-3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[1,-2,-4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[1,-2,-4,5,-3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[1,-2,-4,-5,3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[1,-2,-4,-5,-3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[-1,2,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[-1,2,4,5,-3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[-1,2,4,-5,3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[-1,2,4,-5,-3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[-1,2,-4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[-1,2,-4,5,-3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[-1,2,-4,-5,3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[-1,2,-4,-5,-3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[-1,-2,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[-1,-2,4,5,-3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[-1,-2,4,-5,3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[-1,-2,4,-5,-3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[-1,-2,-4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[-1,-2,-4,5,-3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[-1,-2,-4,-5,3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[-1,-2,-4,-5,-3] => [1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => 1
[1,2,5,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[1,2,5,3,-4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[1,2,5,-3,4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[1,2,5,-3,-4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[1,2,-5,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[1,2,-5,3,-4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[1,2,-5,-3,4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[1,2,-5,-3,-4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[1,-2,5,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[1,-2,5,3,-4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[1,-2,5,-3,4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[1,-2,5,-3,-4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[1,-2,-5,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[1,-2,-5,3,-4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[1,-2,-5,-3,4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[1,-2,-5,-3,-4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[-1,2,5,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[-1,2,5,3,-4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[-1,2,5,-3,4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[-1,2,5,-3,-4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[-1,2,-5,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[-1,2,-5,3,-4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[-1,2,-5,-3,4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[-1,2,-5,-3,-4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[-1,-2,5,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[-1,-2,5,3,-4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[-1,-2,5,-3,4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[-1,-2,5,-3,-4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[-1,-2,-5,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[-1,-2,-5,3,-4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[-1,-2,-5,-3,4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[-1,-2,-5,-3,-4] => [1,2,5,3,4] => [1,2,5,3,4] => [1,-5,2,3,4] => 0
[1,2,5,4,3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[1,2,5,4,-3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[1,2,5,-4,3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[1,2,5,-4,-3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[1,2,-5,4,3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[1,2,-5,4,-3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[1,2,-5,-4,3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[1,2,-5,-4,-3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[1,-2,5,4,3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[1,-2,5,4,-3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[1,-2,5,-4,3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[1,-2,5,-4,-3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[1,-2,-5,4,3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[1,-2,-5,4,-3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[1,-2,-5,-4,3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[1,-2,-5,-4,-3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[-1,2,5,4,3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[-1,2,5,4,-3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[-1,2,5,-4,3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[-1,2,5,-4,-3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[-1,2,-5,4,3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[-1,2,-5,4,-3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[-1,2,-5,-4,3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[-1,2,-5,-4,-3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[-1,-2,5,4,3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[-1,-2,5,4,-3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[-1,-2,5,-4,3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[-1,-2,5,-4,-3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[-1,-2,-5,4,3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[-1,-2,-5,4,-3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[-1,-2,-5,-4,3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[-1,-2,-5,-4,-3] => [1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => 0
[1,3,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[1,3,2,4,-5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[1,3,2,-4,5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[1,3,2,-4,-5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[1,3,-2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[1,3,-2,4,-5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[1,3,-2,-4,5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[1,3,-2,-4,-5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[1,-3,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[1,-3,2,4,-5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[1,-3,2,-4,5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[1,-3,2,-4,-5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[1,-3,-2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[1,-3,-2,4,-5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[1,-3,-2,-4,5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[1,-3,-2,-4,-5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[-1,3,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[-1,3,2,4,-5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[-1,3,2,-4,5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[-1,3,2,-4,-5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[-1,3,-2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[-1,3,-2,4,-5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[-1,3,-2,-4,5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[-1,3,-2,-4,-5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[-1,-3,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[-1,-3,2,4,-5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[-1,-3,2,-4,5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[-1,-3,2,-4,-5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[-1,-3,-2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[-1,-3,-2,4,-5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[-1,-3,-2,-4,5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[-1,-3,-2,-4,-5] => [1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => 0
[1,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[1,3,2,5,-4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[1,3,2,-5,4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[1,3,2,-5,-4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[1,3,-2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[1,3,-2,5,-4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[1,3,-2,-5,4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[1,3,-2,-5,-4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[1,-3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[1,-3,2,5,-4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[1,-3,2,-5,4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[1,-3,2,-5,-4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[1,-3,-2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[1,-3,-2,5,-4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[1,-3,-2,-5,4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[1,-3,-2,-5,-4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[-1,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[-1,3,2,5,-4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[-1,3,2,-5,4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[-1,3,2,-5,-4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[-1,3,-2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[-1,3,-2,5,-4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[-1,3,-2,-5,4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[-1,3,-2,-5,-4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[-1,-3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[-1,-3,2,5,-4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[-1,-3,2,-5,4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[-1,-3,2,-5,-4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[-1,-3,-2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[-1,-3,-2,5,-4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[-1,-3,-2,-5,4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[-1,-3,-2,-5,-4] => [1,3,2,5,4] => [1,3,2,5,4] => [1,-3,2,-5,4] => 0
[1,3,4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[1,3,4,2,-5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[1,3,4,-2,5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[1,3,4,-2,-5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[1,3,-4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[1,3,-4,2,-5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[1,3,-4,-2,5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[1,3,-4,-2,-5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[1,-3,4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[1,-3,4,2,-5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[1,-3,4,-2,5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[1,-3,4,-2,-5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[1,-3,-4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[1,-3,-4,2,-5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[1,-3,-4,-2,5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[1,-3,-4,-2,-5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[-1,3,4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[-1,3,4,2,-5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[-1,3,4,-2,5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[-1,3,4,-2,-5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[-1,3,-4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[-1,3,-4,2,-5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[-1,3,-4,-2,5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[-1,3,-4,-2,-5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[-1,-3,4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[-1,-3,4,2,-5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[-1,-3,4,-2,5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[-1,-3,4,-2,-5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[-1,-3,-4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[-1,-3,-4,2,-5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[-1,-3,-4,-2,5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[-1,-3,-4,-2,-5] => [1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => 1
[1,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[1,3,4,5,-2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[1,3,4,-5,2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[1,3,4,-5,-2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[1,3,-4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[1,3,-4,5,-2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[1,3,-4,-5,2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[1,3,-4,-5,-2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[1,-3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[1,-3,4,5,-2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[1,-3,4,-5,2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[1,-3,4,-5,-2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[1,-3,-4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[1,-3,-4,5,-2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[1,-3,-4,-5,2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[1,-3,-4,-5,-2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[-1,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[-1,3,4,5,-2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[-1,3,4,-5,2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[-1,3,4,-5,-2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[-1,3,-4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[-1,3,-4,5,-2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[-1,3,-4,-5,2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[-1,3,-4,-5,-2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[-1,-3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[-1,-3,4,5,-2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[-1,-3,4,-5,2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[-1,-3,4,-5,-2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[-1,-3,-4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[-1,-3,-4,5,-2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[-1,-3,-4,-5,2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[-1,-3,-4,-5,-2] => [1,3,4,5,2] => [1,3,4,5,2] => [1,4,5,-3,2] => 0
[1,3,5,2,4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[1,3,5,2,-4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[1,3,5,-2,4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[1,3,5,-2,-4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[1,3,-5,2,4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[1,3,-5,2,-4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[1,3,-5,-2,4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[1,3,-5,-2,-4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[1,-3,5,2,4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[1,-3,5,2,-4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[1,-3,5,-2,4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[1,-3,5,-2,-4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[1,-3,-5,2,4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[1,-3,-5,2,-4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[1,-3,-5,-2,4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[1,-3,-5,-2,-4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[-1,3,5,2,4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[-1,3,5,2,-4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[-1,3,5,-2,4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[-1,3,5,-2,-4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[-1,3,-5,2,4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[-1,3,-5,2,-4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[-1,3,-5,-2,4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[-1,3,-5,-2,-4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[-1,-3,5,2,4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[-1,-3,5,2,-4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[-1,-3,5,-2,4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[-1,-3,5,-2,-4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[-1,-3,-5,2,4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[-1,-3,-5,2,-4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[-1,-3,-5,-2,4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[-1,-3,-5,-2,-4] => [1,3,5,2,4] => [1,3,5,2,4] => [1,-3,5,2,4] => 0
[1,3,5,4,2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[1,3,5,4,-2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[1,3,5,-4,2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[1,3,5,-4,-2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[1,3,-5,4,2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[1,3,-5,4,-2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[1,3,-5,-4,2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[1,3,-5,-4,-2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[1,-3,5,4,2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[1,-3,5,4,-2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[1,-3,5,-4,2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[1,-3,5,-4,-2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[1,-3,-5,4,2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[1,-3,-5,4,-2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[1,-3,-5,-4,2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[1,-3,-5,-4,-2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[-1,3,5,4,2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[-1,3,5,4,-2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[-1,3,5,-4,2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[-1,3,5,-4,-2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[-1,3,-5,4,2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[-1,3,-5,4,-2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[-1,3,-5,-4,2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[-1,3,-5,-4,-2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[-1,-3,5,4,2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[-1,-3,5,4,-2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[-1,-3,5,-4,2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[-1,-3,5,-4,-2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[-1,-3,-5,4,2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[-1,-3,-5,4,-2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[-1,-3,-5,-4,2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[-1,-3,-5,-4,-2] => [1,3,5,4,2] => [1,3,5,4,2] => [1,4,-3,-5,2] => 0
[1,4,2,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[1,4,2,5,-3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[1,4,2,-5,3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[1,4,2,-5,-3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[1,4,-2,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[1,4,-2,5,-3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[1,4,-2,-5,3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[1,4,-2,-5,-3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[1,-4,2,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[1,-4,2,5,-3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[1,-4,2,-5,3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[1,-4,2,-5,-3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[1,-4,-2,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[1,-4,-2,5,-3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[1,-4,-2,-5,3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[1,-4,-2,-5,-3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[-1,4,2,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[-1,4,2,5,-3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[-1,4,2,-5,3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[-1,4,2,-5,-3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[-1,4,-2,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[-1,4,-2,5,-3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[-1,4,-2,-5,3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[-1,4,-2,-5,-3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[-1,-4,2,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[-1,-4,2,5,-3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[-1,-4,2,-5,3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[-1,-4,2,-5,-3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[-1,-4,-2,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[-1,-4,-2,5,-3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[-1,-4,-2,-5,3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[-1,-4,-2,-5,-3] => [1,4,2,5,3] => [1,4,2,5,3] => [1,-5,2,-4,3] => 0
[1,4,3,2,5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[1,4,3,2,-5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[1,4,3,-2,5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[1,4,3,-2,-5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[1,4,-3,2,5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[1,4,-3,2,-5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[1,4,-3,-2,5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[1,4,-3,-2,-5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[1,-4,3,2,5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[1,-4,3,2,-5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[1,-4,3,-2,5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[1,-4,3,-2,-5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[1,-4,-3,2,5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[1,-4,-3,2,-5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[1,-4,-3,-2,5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[1,-4,-3,-2,-5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[-1,4,3,2,5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[-1,4,3,2,-5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[-1,4,3,-2,5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[-1,4,3,-2,-5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[-1,4,-3,2,5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[-1,4,-3,2,-5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[-1,4,-3,-2,5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[-1,4,-3,-2,-5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[-1,-4,3,2,5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[-1,-4,3,2,-5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[-1,-4,3,-2,5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[-1,-4,3,-2,-5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[-1,-4,-3,2,5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[-1,-4,-3,2,-5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[-1,-4,-3,-2,5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[-1,-4,-3,-2,-5] => [1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => 0
[1,4,3,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[1,4,3,5,-2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[1,4,3,-5,2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[1,4,3,-5,-2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[1,4,-3,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[1,4,-3,5,-2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[1,4,-3,-5,2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[1,4,-3,-5,-2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[1,-4,3,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[1,-4,3,5,-2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[1,-4,3,-5,2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[1,-4,3,-5,-2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[1,-4,-3,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[1,-4,-3,5,-2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[1,-4,-3,-5,2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[1,-4,-3,-5,-2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[-1,4,3,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[-1,4,3,5,-2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[-1,4,3,-5,2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[-1,4,3,-5,-2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[-1,4,-3,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[-1,4,-3,5,-2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[-1,4,-3,-5,2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[-1,4,-3,-5,-2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[-1,-4,3,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[-1,-4,3,5,-2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[-1,-4,3,-5,2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[-1,-4,3,-5,-2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[-1,-4,-3,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[-1,-4,-3,5,-2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[-1,-4,-3,-5,2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[-1,-4,-3,-5,-2] => [1,4,3,5,2] => [1,4,3,5,2] => [1,-3,5,-4,2] => 0
[1,4,5,3,2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[1,4,5,3,-2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[1,4,5,-3,2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[1,4,5,-3,-2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[1,4,-5,3,2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[1,4,-5,3,-2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[1,4,-5,-3,2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[1,4,-5,-3,-2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[1,-4,5,3,2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[1,-4,5,3,-2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[1,-4,5,-3,2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[1,-4,5,-3,-2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[1,-4,-5,3,2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[1,-4,-5,3,-2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[1,-4,-5,-3,2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[1,-4,-5,-3,-2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[-1,4,5,3,2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[-1,4,5,3,-2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[-1,4,5,-3,2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[-1,4,5,-3,-2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[-1,4,-5,3,2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[-1,4,-5,3,-2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[-1,4,-5,-3,2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[-1,4,-5,-3,-2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[-1,-4,5,3,2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[-1,-4,5,3,-2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[-1,-4,5,-3,2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[-1,-4,5,-3,-2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[-1,-4,-5,3,2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[-1,-4,-5,3,-2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[-1,-4,-5,-3,2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[-1,-4,-5,-3,-2] => [1,4,5,3,2] => [1,4,5,3,2] => [1,3,-5,-4,2] => 0
[1,5,3,2,4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[1,5,3,2,-4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[1,5,3,-2,4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[1,5,3,-2,-4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[1,5,-3,2,4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[1,5,-3,2,-4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[1,5,-3,-2,4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[1,5,-3,-2,-4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[1,-5,3,2,4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[1,-5,3,2,-4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[1,-5,3,-2,4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[1,-5,3,-2,-4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[1,-5,-3,2,4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[1,-5,-3,2,-4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[1,-5,-3,-2,4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[1,-5,-3,-2,-4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[-1,5,3,2,4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[-1,5,3,2,-4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[-1,5,3,-2,4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[-1,5,3,-2,-4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[-1,5,-3,2,4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[-1,5,-3,2,-4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[-1,5,-3,-2,4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[-1,5,-3,-2,-4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[-1,-5,3,2,4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[-1,-5,3,2,-4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[-1,-5,3,-2,4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[-1,-5,3,-2,-4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[-1,-5,-3,2,4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[-1,-5,-3,2,-4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[-1,-5,-3,-2,4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[-1,-5,-3,-2,-4] => [1,5,3,2,4] => [1,5,3,2,4] => [1,-5,-3,2,4] => 0
[1,5,4,3,2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[1,5,4,3,-2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[1,5,4,-3,2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[1,5,4,-3,-2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[1,5,-4,3,2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[1,5,-4,3,-2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[1,5,-4,-3,2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[1,5,-4,-3,-2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[1,-5,4,3,2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[1,-5,4,3,-2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[1,-5,4,-3,2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[1,-5,4,-3,-2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[1,-5,-4,3,2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[1,-5,-4,3,-2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[1,-5,-4,-3,2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[1,-5,-4,-3,-2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[-1,5,4,3,2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[-1,5,4,3,-2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[-1,5,4,-3,2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[-1,5,4,-3,-2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[-1,5,-4,3,2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[-1,5,-4,3,-2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[-1,5,-4,-3,2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[-1,5,-4,-3,-2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[-1,-5,4,3,2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[-1,-5,4,3,-2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[-1,-5,4,-3,2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[-1,-5,4,-3,-2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[-1,-5,-4,3,2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[-1,-5,-4,3,-2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[-1,-5,-4,-3,2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[-1,-5,-4,-3,-2] => [1,5,4,3,2] => [1,5,4,3,2] => [1,-3,-4,-5,2] => 0
[4,1,2,3,5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[4,1,2,3,-5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[4,1,2,-3,5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[4,1,2,-3,-5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[4,1,-2,3,5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[4,1,-2,3,-5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[4,1,-2,-3,5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[4,1,-2,-3,-5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[4,-1,2,3,5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[4,-1,2,3,-5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[4,-1,2,-3,5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[4,-1,2,-3,-5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[4,-1,-2,3,5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[4,-1,-2,3,-5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[4,-1,-2,-3,5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[4,-1,-2,-3,-5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[-4,1,2,3,5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[-4,1,2,3,-5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[-4,1,2,-3,5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[-4,1,2,-3,-5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[-4,1,-2,3,5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[-4,1,-2,3,-5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[-4,1,-2,-3,5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[-4,1,-2,-3,-5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[-4,-1,2,3,5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[-4,-1,2,3,-5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[-4,-1,2,-3,5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[-4,-1,2,-3,-5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[-4,-1,-2,3,5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[-4,-1,-2,3,-5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[-4,-1,-2,-3,5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[-4,-1,-2,-3,-5] => [4,1,2,3,5] => [4,1,2,3,5] => [1,4,2,3,5] => 0
[4,5,1,2,3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[4,5,1,2,-3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[4,5,1,-2,3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[4,5,1,-2,-3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[4,5,-1,2,3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[4,5,-1,2,-3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[4,5,-1,-2,3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[4,5,-1,-2,-3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[4,-5,1,2,3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[4,-5,1,2,-3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[4,-5,1,-2,3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[4,-5,1,-2,-3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[4,-5,-1,2,3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[4,-5,-1,2,-3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[4,-5,-1,-2,3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[4,-5,-1,-2,-3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[-4,5,1,2,3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[-4,5,1,2,-3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[-4,5,1,-2,3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[-4,5,1,-2,-3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[-4,5,-1,2,3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[-4,5,-1,2,-3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[-4,5,-1,-2,3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[-4,5,-1,-2,-3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[-4,-5,1,2,3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[-4,-5,1,2,-3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[-4,-5,1,-2,3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[-4,-5,1,-2,-3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[-4,-5,-1,2,3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[-4,-5,-1,2,-3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[-4,-5,-1,-2,3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[-4,-5,-1,-2,-3] => [4,5,1,2,3] => [4,5,1,2,3] => [1,4,5,2,3] => 1
[5,1,2,3,4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[5,1,2,3,-4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[5,1,2,-3,4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[5,1,2,-3,-4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[5,1,-2,3,4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[5,1,-2,3,-4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[5,1,-2,-3,4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[5,1,-2,-3,-4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[5,-1,2,3,4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[5,-1,2,3,-4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[5,-1,2,-3,4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[5,-1,2,-3,-4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[5,-1,-2,3,4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[5,-1,-2,3,-4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[5,-1,-2,-3,4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[5,-1,-2,-3,-4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[-5,1,2,3,4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[-5,1,2,3,-4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[-5,1,2,-3,4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[-5,1,2,-3,-4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[-5,1,-2,3,4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[-5,1,-2,3,-4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[-5,1,-2,-3,4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[-5,1,-2,-3,-4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[-5,-1,2,3,4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[-5,-1,2,3,-4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[-5,-1,2,-3,4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[-5,-1,2,-3,-4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[-5,-1,-2,3,4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[-5,-1,-2,3,-4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[-5,-1,-2,-3,4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[-5,-1,-2,-3,-4] => [5,1,2,3,4] => [5,1,2,3,4] => [1,2,5,3,4] => 0
[5,1,2,4,3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[5,1,2,4,-3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[5,1,2,-4,3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[5,1,2,-4,-3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[5,1,-2,4,3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[5,1,-2,4,-3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[5,1,-2,-4,3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[5,1,-2,-4,-3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[5,-1,2,4,3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[5,-1,2,4,-3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[5,-1,2,-4,3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[5,-1,2,-4,-3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[5,-1,-2,4,3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[5,-1,-2,4,-3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[5,-1,-2,-4,3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[5,-1,-2,-4,-3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[-5,1,2,4,3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[-5,1,2,4,-3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[-5,1,2,-4,3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[-5,1,2,-4,-3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[-5,1,-2,4,3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[-5,1,-2,4,-3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[-5,1,-2,-4,3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[-5,1,-2,-4,-3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[-5,-1,2,4,3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[-5,-1,2,4,-3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[-5,-1,2,-4,3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[-5,-1,2,-4,-3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[-5,-1,-2,4,3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[-5,-1,-2,4,-3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[-5,-1,-2,-4,3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[-5,-1,-2,-4,-3] => [5,1,2,4,3] => [5,1,2,4,3] => [1,4,2,-5,3] => 0
[5,1,3,4,2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[5,1,3,4,-2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[5,1,3,-4,2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[5,1,3,-4,-2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[5,1,-3,4,2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[5,1,-3,4,-2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[5,1,-3,-4,2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[5,1,-3,-4,-2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[5,-1,3,4,2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[5,-1,3,4,-2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[5,-1,3,-4,2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[5,-1,3,-4,-2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[5,-1,-3,4,2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[5,-1,-3,4,-2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[5,-1,-3,-4,2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[5,-1,-3,-4,-2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[-5,1,3,4,2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[-5,1,3,4,-2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[-5,1,3,-4,2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[-5,1,3,-4,-2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[-5,1,-3,4,2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[-5,1,-3,4,-2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[-5,1,-3,-4,2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[-5,1,-3,-4,-2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[-5,-1,3,4,2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[-5,-1,3,4,-2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[-5,-1,3,-4,2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[-5,-1,3,-4,-2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[-5,-1,-3,4,2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[-5,-1,-3,4,-2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[-5,-1,-3,-4,2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[-5,-1,-3,-4,-2] => [5,1,3,4,2] => [5,1,3,4,2] => [1,3,4,-5,2] => 0
[5,1,4,2,3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[5,1,4,2,-3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[5,1,4,-2,3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[5,1,4,-2,-3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[5,1,-4,2,3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[5,1,-4,2,-3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[5,1,-4,-2,3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[5,1,-4,-2,-3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[5,-1,4,2,3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[5,-1,4,2,-3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[5,-1,4,-2,3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[5,-1,4,-2,-3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[5,-1,-4,2,3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[5,-1,-4,2,-3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[5,-1,-4,-2,3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[5,-1,-4,-2,-3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[-5,1,4,2,3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[-5,1,4,2,-3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[-5,1,4,-2,3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[-5,1,4,-2,-3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[-5,1,-4,2,3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[-5,1,-4,2,-3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[-5,1,-4,-2,3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[-5,1,-4,-2,-3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[-5,-1,4,2,3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[-5,-1,4,2,-3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[-5,-1,4,-2,3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[-5,-1,4,-2,-3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[-5,-1,-4,2,3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[-5,-1,-4,2,-3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[-5,-1,-4,-2,3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
[-5,-1,-4,-2,-3] => [5,1,4,2,3] => [5,1,4,2,3] => [1,-5,4,2,3] => 0
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
4,4 32,16 320,64
$F_{1} = 2\ q$
$F_{2} = 4 + 4\ q$
$F_{3} = 32 + 16\ q$
$F_{4} = 320 + 64\ q$
Description
The number of Hecke atoms of a signed permutation.
For a signed permutation $z\in\mathfrak H_n$, this is the cardinality of the set
$$ \{ w\in\mathfrak H_n | w^{-1} \star w = z\}, $$
where $\star$ denotes the Demazure product. Note that $w\mapsto w^{-1}\star w$ is a surjection onto the set of involutions.
For a signed permutation $z\in\mathfrak H_n$, this is the cardinality of the set
$$ \{ w\in\mathfrak H_n | w^{-1} \star w = z\}, $$
where $\star$ denotes the Demazure product. Note that $w\mapsto w^{-1}\star w$ is a surjection onto the set of involutions.
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to signed permutation
Description
The signed permutation with all signs positive.
Map
permutation
Description
The permutation obtained by forgetting the colours.
Map
Foata-Han
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