Identifier
Mp00170: Permutations —to signed permutation⟶ Signed permutations
Mp00168: Signed permutations —Kreweras complement⟶ Signed permutations
Mp00161: Signed permutations —reverse⟶ Signed permutations
Images
[1] => [1] => [-1] => [-1]
[1,2] => [1,2] => [2,-1] => [-1,2]
[2,1] => [2,1] => [-1,2] => [2,-1]
[1,2,3] => [1,2,3] => [2,3,-1] => [-1,3,2]
[1,3,2] => [1,3,2] => [2,-1,3] => [3,-1,2]
[2,1,3] => [2,1,3] => [3,2,-1] => [-1,2,3]
[2,3,1] => [2,3,1] => [-1,2,3] => [3,2,-1]
[3,1,2] => [3,1,2] => [3,-1,2] => [2,-1,3]
[3,2,1] => [3,2,1] => [-1,3,2] => [2,3,-1]
[1,2,3,4] => [1,2,3,4] => [2,3,4,-1] => [-1,4,3,2]
[1,2,4,3] => [1,2,4,3] => [2,3,-1,4] => [4,-1,3,2]
[1,3,2,4] => [1,3,2,4] => [2,4,3,-1] => [-1,3,4,2]
[1,3,4,2] => [1,3,4,2] => [2,-1,3,4] => [4,3,-1,2]
[1,4,2,3] => [1,4,2,3] => [2,4,-1,3] => [3,-1,4,2]
[1,4,3,2] => [1,4,3,2] => [2,-1,4,3] => [3,4,-1,2]
[2,1,3,4] => [2,1,3,4] => [3,2,4,-1] => [-1,4,2,3]
[2,1,4,3] => [2,1,4,3] => [3,2,-1,4] => [4,-1,2,3]
[2,3,1,4] => [2,3,1,4] => [4,2,3,-1] => [-1,3,2,4]
[2,3,4,1] => [2,3,4,1] => [-1,2,3,4] => [4,3,2,-1]
[2,4,1,3] => [2,4,1,3] => [4,2,-1,3] => [3,-1,2,4]
[2,4,3,1] => [2,4,3,1] => [-1,2,4,3] => [3,4,2,-1]
[3,1,2,4] => [3,1,2,4] => [3,4,2,-1] => [-1,2,4,3]
[3,1,4,2] => [3,1,4,2] => [3,-1,2,4] => [4,2,-1,3]
[3,2,1,4] => [3,2,1,4] => [4,3,2,-1] => [-1,2,3,4]
[3,2,4,1] => [3,2,4,1] => [-1,3,2,4] => [4,2,3,-1]
[3,4,1,2] => [3,4,1,2] => [4,-1,2,3] => [3,2,-1,4]
[3,4,2,1] => [3,4,2,1] => [-1,4,2,3] => [3,2,4,-1]
[4,1,2,3] => [4,1,2,3] => [3,4,-1,2] => [2,-1,4,3]
[4,1,3,2] => [4,1,3,2] => [3,-1,4,2] => [2,4,-1,3]
[4,2,1,3] => [4,2,1,3] => [4,3,-1,2] => [2,-1,3,4]
[4,2,3,1] => [4,2,3,1] => [-1,3,4,2] => [2,4,3,-1]
[4,3,1,2] => [4,3,1,2] => [4,-1,3,2] => [2,3,-1,4]
[4,3,2,1] => [4,3,2,1] => [-1,4,3,2] => [2,3,4,-1]
[1,2,3,4,5] => [1,2,3,4,5] => [2,3,4,5,-1] => [-1,5,4,3,2]
[1,2,3,5,4] => [1,2,3,5,4] => [2,3,4,-1,5] => [5,-1,4,3,2]
[1,2,4,3,5] => [1,2,4,3,5] => [2,3,5,4,-1] => [-1,4,5,3,2]
[1,2,4,5,3] => [1,2,4,5,3] => [2,3,-1,4,5] => [5,4,-1,3,2]
[1,2,5,3,4] => [1,2,5,3,4] => [2,3,5,-1,4] => [4,-1,5,3,2]
[1,2,5,4,3] => [1,2,5,4,3] => [2,3,-1,5,4] => [4,5,-1,3,2]
[1,3,2,4,5] => [1,3,2,4,5] => [2,4,3,5,-1] => [-1,5,3,4,2]
[1,3,2,5,4] => [1,3,2,5,4] => [2,4,3,-1,5] => [5,-1,3,4,2]
[1,3,4,2,5] => [1,3,4,2,5] => [2,5,3,4,-1] => [-1,4,3,5,2]
[1,3,4,5,2] => [1,3,4,5,2] => [2,-1,3,4,5] => [5,4,3,-1,2]
[1,3,5,2,4] => [1,3,5,2,4] => [2,5,3,-1,4] => [4,-1,3,5,2]
[1,3,5,4,2] => [1,3,5,4,2] => [2,-1,3,5,4] => [4,5,3,-1,2]
[1,4,2,3,5] => [1,4,2,3,5] => [2,4,5,3,-1] => [-1,3,5,4,2]
[1,4,2,5,3] => [1,4,2,5,3] => [2,4,-1,3,5] => [5,3,-1,4,2]
[1,4,3,2,5] => [1,4,3,2,5] => [2,5,4,3,-1] => [-1,3,4,5,2]
[1,4,3,5,2] => [1,4,3,5,2] => [2,-1,4,3,5] => [5,3,4,-1,2]
[1,4,5,2,3] => [1,4,5,2,3] => [2,5,-1,3,4] => [4,3,-1,5,2]
[1,4,5,3,2] => [1,4,5,3,2] => [2,-1,5,3,4] => [4,3,5,-1,2]
[1,5,2,3,4] => [1,5,2,3,4] => [2,4,5,-1,3] => [3,-1,5,4,2]
[1,5,2,4,3] => [1,5,2,4,3] => [2,4,-1,5,3] => [3,5,-1,4,2]
[1,5,3,2,4] => [1,5,3,2,4] => [2,5,4,-1,3] => [3,-1,4,5,2]
[1,5,3,4,2] => [1,5,3,4,2] => [2,-1,4,5,3] => [3,5,4,-1,2]
[1,5,4,2,3] => [1,5,4,2,3] => [2,5,-1,4,3] => [3,4,-1,5,2]
[1,5,4,3,2] => [1,5,4,3,2] => [2,-1,5,4,3] => [3,4,5,-1,2]
[2,1,3,4,5] => [2,1,3,4,5] => [3,2,4,5,-1] => [-1,5,4,2,3]
[2,1,3,5,4] => [2,1,3,5,4] => [3,2,4,-1,5] => [5,-1,4,2,3]
[2,1,4,3,5] => [2,1,4,3,5] => [3,2,5,4,-1] => [-1,4,5,2,3]
[2,1,4,5,3] => [2,1,4,5,3] => [3,2,-1,4,5] => [5,4,-1,2,3]
[2,1,5,3,4] => [2,1,5,3,4] => [3,2,5,-1,4] => [4,-1,5,2,3]
[2,1,5,4,3] => [2,1,5,4,3] => [3,2,-1,5,4] => [4,5,-1,2,3]
[2,3,1,4,5] => [2,3,1,4,5] => [4,2,3,5,-1] => [-1,5,3,2,4]
[2,3,1,5,4] => [2,3,1,5,4] => [4,2,3,-1,5] => [5,-1,3,2,4]
[2,3,4,1,5] => [2,3,4,1,5] => [5,2,3,4,-1] => [-1,4,3,2,5]
[2,3,4,5,1] => [2,3,4,5,1] => [-1,2,3,4,5] => [5,4,3,2,-1]
[2,3,5,1,4] => [2,3,5,1,4] => [5,2,3,-1,4] => [4,-1,3,2,5]
[2,3,5,4,1] => [2,3,5,4,1] => [-1,2,3,5,4] => [4,5,3,2,-1]
[2,4,1,3,5] => [2,4,1,3,5] => [4,2,5,3,-1] => [-1,3,5,2,4]
[2,4,1,5,3] => [2,4,1,5,3] => [4,2,-1,3,5] => [5,3,-1,2,4]
[2,4,3,1,5] => [2,4,3,1,5] => [5,2,4,3,-1] => [-1,3,4,2,5]
[2,4,3,5,1] => [2,4,3,5,1] => [-1,2,4,3,5] => [5,3,4,2,-1]
[2,4,5,1,3] => [2,4,5,1,3] => [5,2,-1,3,4] => [4,3,-1,2,5]
[2,4,5,3,1] => [2,4,5,3,1] => [-1,2,5,3,4] => [4,3,5,2,-1]
[2,5,1,3,4] => [2,5,1,3,4] => [4,2,5,-1,3] => [3,-1,5,2,4]
[2,5,1,4,3] => [2,5,1,4,3] => [4,2,-1,5,3] => [3,5,-1,2,4]
[2,5,3,1,4] => [2,5,3,1,4] => [5,2,4,-1,3] => [3,-1,4,2,5]
[2,5,3,4,1] => [2,5,3,4,1] => [-1,2,4,5,3] => [3,5,4,2,-1]
[2,5,4,1,3] => [2,5,4,1,3] => [5,2,-1,4,3] => [3,4,-1,2,5]
[2,5,4,3,1] => [2,5,4,3,1] => [-1,2,5,4,3] => [3,4,5,2,-1]
[3,1,2,4,5] => [3,1,2,4,5] => [3,4,2,5,-1] => [-1,5,2,4,3]
[3,1,2,5,4] => [3,1,2,5,4] => [3,4,2,-1,5] => [5,-1,2,4,3]
[3,1,4,2,5] => [3,1,4,2,5] => [3,5,2,4,-1] => [-1,4,2,5,3]
[3,1,4,5,2] => [3,1,4,5,2] => [3,-1,2,4,5] => [5,4,2,-1,3]
[3,1,5,2,4] => [3,1,5,2,4] => [3,5,2,-1,4] => [4,-1,2,5,3]
[3,1,5,4,2] => [3,1,5,4,2] => [3,-1,2,5,4] => [4,5,2,-1,3]
[3,2,1,4,5] => [3,2,1,4,5] => [4,3,2,5,-1] => [-1,5,2,3,4]
[3,2,1,5,4] => [3,2,1,5,4] => [4,3,2,-1,5] => [5,-1,2,3,4]
[3,2,4,1,5] => [3,2,4,1,5] => [5,3,2,4,-1] => [-1,4,2,3,5]
[3,2,4,5,1] => [3,2,4,5,1] => [-1,3,2,4,5] => [5,4,2,3,-1]
[3,2,5,1,4] => [3,2,5,1,4] => [5,3,2,-1,4] => [4,-1,2,3,5]
[3,2,5,4,1] => [3,2,5,4,1] => [-1,3,2,5,4] => [4,5,2,3,-1]
[3,4,1,2,5] => [3,4,1,2,5] => [4,5,2,3,-1] => [-1,3,2,5,4]
[3,4,1,5,2] => [3,4,1,5,2] => [4,-1,2,3,5] => [5,3,2,-1,4]
[3,4,2,1,5] => [3,4,2,1,5] => [5,4,2,3,-1] => [-1,3,2,4,5]
[3,4,2,5,1] => [3,4,2,5,1] => [-1,4,2,3,5] => [5,3,2,4,-1]
[3,4,5,1,2] => [3,4,5,1,2] => [5,-1,2,3,4] => [4,3,2,-1,5]
[3,4,5,2,1] => [3,4,5,2,1] => [-1,5,2,3,4] => [4,3,2,5,-1]
[3,5,1,2,4] => [3,5,1,2,4] => [4,5,2,-1,3] => [3,-1,2,5,4]
[3,5,1,4,2] => [3,5,1,4,2] => [4,-1,2,5,3] => [3,5,2,-1,4]
>>> Load all 300 entries. <<<
[3,5,2,1,4] => [3,5,2,1,4] => [5,4,2,-1,3] => [3,-1,2,4,5]
[3,5,2,4,1] => [3,5,2,4,1] => [-1,4,2,5,3] => [3,5,2,4,-1]
[3,5,4,1,2] => [3,5,4,1,2] => [5,-1,2,4,3] => [3,4,2,-1,5]
[3,5,4,2,1] => [3,5,4,2,1] => [-1,5,2,4,3] => [3,4,2,5,-1]
[4,1,2,3,5] => [4,1,2,3,5] => [3,4,5,2,-1] => [-1,2,5,4,3]
[4,1,2,5,3] => [4,1,2,5,3] => [3,4,-1,2,5] => [5,2,-1,4,3]
[4,1,3,2,5] => [4,1,3,2,5] => [3,5,4,2,-1] => [-1,2,4,5,3]
[4,1,3,5,2] => [4,1,3,5,2] => [3,-1,4,2,5] => [5,2,4,-1,3]
[4,1,5,2,3] => [4,1,5,2,3] => [3,5,-1,2,4] => [4,2,-1,5,3]
[4,1,5,3,2] => [4,1,5,3,2] => [3,-1,5,2,4] => [4,2,5,-1,3]
[4,2,1,3,5] => [4,2,1,3,5] => [4,3,5,2,-1] => [-1,2,5,3,4]
[4,2,1,5,3] => [4,2,1,5,3] => [4,3,-1,2,5] => [5,2,-1,3,4]
[4,2,3,1,5] => [4,2,3,1,5] => [5,3,4,2,-1] => [-1,2,4,3,5]
[4,2,3,5,1] => [4,2,3,5,1] => [-1,3,4,2,5] => [5,2,4,3,-1]
[4,2,5,1,3] => [4,2,5,1,3] => [5,3,-1,2,4] => [4,2,-1,3,5]
[4,2,5,3,1] => [4,2,5,3,1] => [-1,3,5,2,4] => [4,2,5,3,-1]
[4,3,1,2,5] => [4,3,1,2,5] => [4,5,3,2,-1] => [-1,2,3,5,4]
[4,3,1,5,2] => [4,3,1,5,2] => [4,-1,3,2,5] => [5,2,3,-1,4]
[4,3,2,1,5] => [4,3,2,1,5] => [5,4,3,2,-1] => [-1,2,3,4,5]
[4,3,2,5,1] => [4,3,2,5,1] => [-1,4,3,2,5] => [5,2,3,4,-1]
[4,3,5,1,2] => [4,3,5,1,2] => [5,-1,3,2,4] => [4,2,3,-1,5]
[4,3,5,2,1] => [4,3,5,2,1] => [-1,5,3,2,4] => [4,2,3,5,-1]
[4,5,1,2,3] => [4,5,1,2,3] => [4,5,-1,2,3] => [3,2,-1,5,4]
[4,5,1,3,2] => [4,5,1,3,2] => [4,-1,5,2,3] => [3,2,5,-1,4]
[4,5,2,1,3] => [4,5,2,1,3] => [5,4,-1,2,3] => [3,2,-1,4,5]
[4,5,2,3,1] => [4,5,2,3,1] => [-1,4,5,2,3] => [3,2,5,4,-1]
[4,5,3,1,2] => [4,5,3,1,2] => [5,-1,4,2,3] => [3,2,4,-1,5]
[4,5,3,2,1] => [4,5,3,2,1] => [-1,5,4,2,3] => [3,2,4,5,-1]
[5,1,2,3,4] => [5,1,2,3,4] => [3,4,5,-1,2] => [2,-1,5,4,3]
[5,1,2,4,3] => [5,1,2,4,3] => [3,4,-1,5,2] => [2,5,-1,4,3]
[5,1,3,2,4] => [5,1,3,2,4] => [3,5,4,-1,2] => [2,-1,4,5,3]
[5,1,3,4,2] => [5,1,3,4,2] => [3,-1,4,5,2] => [2,5,4,-1,3]
[5,1,4,2,3] => [5,1,4,2,3] => [3,5,-1,4,2] => [2,4,-1,5,3]
[5,1,4,3,2] => [5,1,4,3,2] => [3,-1,5,4,2] => [2,4,5,-1,3]
[5,2,1,3,4] => [5,2,1,3,4] => [4,3,5,-1,2] => [2,-1,5,3,4]
[5,2,1,4,3] => [5,2,1,4,3] => [4,3,-1,5,2] => [2,5,-1,3,4]
[5,2,3,1,4] => [5,2,3,1,4] => [5,3,4,-1,2] => [2,-1,4,3,5]
[5,2,3,4,1] => [5,2,3,4,1] => [-1,3,4,5,2] => [2,5,4,3,-1]
[5,2,4,1,3] => [5,2,4,1,3] => [5,3,-1,4,2] => [2,4,-1,3,5]
[5,2,4,3,1] => [5,2,4,3,1] => [-1,3,5,4,2] => [2,4,5,3,-1]
[5,3,1,2,4] => [5,3,1,2,4] => [4,5,3,-1,2] => [2,-1,3,5,4]
[5,3,1,4,2] => [5,3,1,4,2] => [4,-1,3,5,2] => [2,5,3,-1,4]
[5,3,2,1,4] => [5,3,2,1,4] => [5,4,3,-1,2] => [2,-1,3,4,5]
[5,3,2,4,1] => [5,3,2,4,1] => [-1,4,3,5,2] => [2,5,3,4,-1]
[5,3,4,1,2] => [5,3,4,1,2] => [5,-1,3,4,2] => [2,4,3,-1,5]
[5,3,4,2,1] => [5,3,4,2,1] => [-1,5,3,4,2] => [2,4,3,5,-1]
[5,4,1,2,3] => [5,4,1,2,3] => [4,5,-1,3,2] => [2,3,-1,5,4]
[5,4,1,3,2] => [5,4,1,3,2] => [4,-1,5,3,2] => [2,3,5,-1,4]
[5,4,2,1,3] => [5,4,2,1,3] => [5,4,-1,3,2] => [2,3,-1,4,5]
[5,4,2,3,1] => [5,4,2,3,1] => [-1,4,5,3,2] => [2,3,5,4,-1]
[5,4,3,1,2] => [5,4,3,1,2] => [5,-1,4,3,2] => [2,3,4,-1,5]
[5,4,3,2,1] => [5,4,3,2,1] => [-1,5,4,3,2] => [2,3,4,5,-1]
[1,2,3,4,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,-1] => [-1,6,5,4,3,2]
[1,2,3,4,6,5] => [1,2,3,4,6,5] => [2,3,4,5,-1,6] => [6,-1,5,4,3,2]
[1,2,3,5,4,6] => [1,2,3,5,4,6] => [2,3,4,6,5,-1] => [-1,5,6,4,3,2]
[1,2,3,5,6,4] => [1,2,3,5,6,4] => [2,3,4,-1,5,6] => [6,5,-1,4,3,2]
[1,2,4,3,5,6] => [1,2,4,3,5,6] => [2,3,5,4,6,-1] => [-1,6,4,5,3,2]
[1,2,4,5,3,6] => [1,2,4,5,3,6] => [2,3,6,4,5,-1] => [-1,5,4,6,3,2]
[1,2,4,5,6,3] => [1,2,4,5,6,3] => [2,3,-1,4,5,6] => [6,5,4,-1,3,2]
[1,2,5,3,4,6] => [1,2,5,3,4,6] => [2,3,5,6,4,-1] => [-1,4,6,5,3,2]
[1,2,5,4,3,6] => [1,2,5,4,3,6] => [2,3,6,5,4,-1] => [-1,4,5,6,3,2]
[1,2,6,3,5,4] => [1,2,6,3,5,4] => [2,3,5,-1,6,4] => [4,6,-1,5,3,2]
[1,3,2,4,5,6] => [1,3,2,4,5,6] => [2,4,3,5,6,-1] => [-1,6,5,3,4,2]
[1,3,2,5,4,6] => [1,3,2,5,4,6] => [2,4,3,6,5,-1] => [-1,5,6,3,4,2]
[1,3,4,2,5,6] => [1,3,4,2,5,6] => [2,5,3,4,6,-1] => [-1,6,4,3,5,2]
[1,3,4,5,2,6] => [1,3,4,5,2,6] => [2,6,3,4,5,-1] => [-1,5,4,3,6,2]
[1,3,4,5,6,2] => [1,3,4,5,6,2] => [2,-1,3,4,5,6] => [6,5,4,3,-1,2]
[1,3,5,2,4,6] => [1,3,5,2,4,6] => [2,5,3,6,4,-1] => [-1,4,6,3,5,2]
[1,3,5,4,2,6] => [1,3,5,4,2,6] => [2,6,3,5,4,-1] => [-1,4,5,3,6,2]
[1,3,6,4,5,2] => [1,3,6,4,5,2] => [2,-1,3,5,6,4] => [4,6,5,3,-1,2]
[1,4,2,3,5,6] => [1,4,2,3,5,6] => [2,4,5,3,6,-1] => [-1,6,3,5,4,2]
[1,4,2,5,3,6] => [1,4,2,5,3,6] => [2,4,6,3,5,-1] => [-1,5,3,6,4,2]
[1,4,3,2,5,6] => [1,4,3,2,5,6] => [2,5,4,3,6,-1] => [-1,6,3,4,5,2]
[1,4,3,5,2,6] => [1,4,3,5,2,6] => [2,6,4,3,5,-1] => [-1,5,3,4,6,2]
[1,4,5,2,3,6] => [1,4,5,2,3,6] => [2,5,6,3,4,-1] => [-1,4,3,6,5,2]
[1,4,5,3,2,6] => [1,4,5,3,2,6] => [2,6,5,3,4,-1] => [-1,4,3,5,6,2]
[1,5,2,3,4,6] => [1,5,2,3,4,6] => [2,4,5,6,3,-1] => [-1,3,6,5,4,2]
[1,5,2,3,6,4] => [1,5,2,3,6,4] => [2,4,5,-1,3,6] => [6,3,-1,5,4,2]
[1,5,2,4,3,6] => [1,5,2,4,3,6] => [2,4,6,5,3,-1] => [-1,3,5,6,4,2]
[1,5,3,2,4,6] => [1,5,3,2,4,6] => [2,5,4,6,3,-1] => [-1,3,6,4,5,2]
[1,5,3,4,2,6] => [1,5,3,4,2,6] => [2,6,4,5,3,-1] => [-1,3,5,4,6,2]
[1,5,3,4,6,2] => [1,5,3,4,6,2] => [2,-1,4,5,3,6] => [6,3,5,4,-1,2]
[1,5,4,2,3,6] => [1,5,4,2,3,6] => [2,5,6,4,3,-1] => [-1,3,4,6,5,2]
[1,5,4,3,2,6] => [1,5,4,3,2,6] => [2,6,5,4,3,-1] => [-1,3,4,5,6,2]
[1,5,6,2,3,4] => [1,5,6,2,3,4] => [2,5,6,-1,3,4] => [4,3,-1,6,5,2]
[1,5,6,3,4,2] => [1,5,6,3,4,2] => [2,-1,5,6,3,4] => [4,3,6,5,-1,2]
[2,1,3,4,5,6] => [2,1,3,4,5,6] => [3,2,4,5,6,-1] => [-1,6,5,4,2,3]
[2,1,3,4,6,5] => [2,1,3,4,6,5] => [3,2,4,5,-1,6] => [6,-1,5,4,2,3]
[2,1,3,5,4,6] => [2,1,3,5,4,6] => [3,2,4,6,5,-1] => [-1,5,6,4,2,3]
[2,1,4,3,5,6] => [2,1,4,3,5,6] => [3,2,5,4,6,-1] => [-1,6,4,5,2,3]
[2,1,4,5,3,6] => [2,1,4,5,3,6] => [3,2,6,4,5,-1] => [-1,5,4,6,2,3]
[2,1,5,3,4,6] => [2,1,5,3,4,6] => [3,2,5,6,4,-1] => [-1,4,6,5,2,3]
[2,1,5,4,3,6] => [2,1,5,4,3,6] => [3,2,6,5,4,-1] => [-1,4,5,6,2,3]
[2,3,1,4,5,6] => [2,3,1,4,5,6] => [4,2,3,5,6,-1] => [-1,6,5,3,2,4]
[2,3,1,5,4,6] => [2,3,1,5,4,6] => [4,2,3,6,5,-1] => [-1,5,6,3,2,4]
[2,3,4,1,5,6] => [2,3,4,1,5,6] => [5,2,3,4,6,-1] => [-1,6,4,3,2,5]
[2,3,4,5,1,6] => [2,3,4,5,1,6] => [6,2,3,4,5,-1] => [-1,5,4,3,2,6]
[2,3,5,1,4,6] => [2,3,5,1,4,6] => [5,2,3,6,4,-1] => [-1,4,6,3,2,5]
[2,3,5,4,1,6] => [2,3,5,4,1,6] => [6,2,3,5,4,-1] => [-1,4,5,3,2,6]
[2,4,1,3,5,6] => [2,4,1,3,5,6] => [4,2,5,3,6,-1] => [-1,6,3,5,2,4]
[2,4,1,3,6,5] => [2,4,1,3,6,5] => [4,2,5,3,-1,6] => [6,-1,3,5,2,4]
[2,4,1,5,3,6] => [2,4,1,5,3,6] => [4,2,6,3,5,-1] => [-1,5,3,6,2,4]
[2,4,3,1,5,6] => [2,4,3,1,5,6] => [5,2,4,3,6,-1] => [-1,6,3,4,2,5]
[2,4,3,5,1,6] => [2,4,3,5,1,6] => [6,2,4,3,5,-1] => [-1,5,3,4,2,6]
[2,4,5,1,3,6] => [2,4,5,1,3,6] => [5,2,6,3,4,-1] => [-1,4,3,6,2,5]
[2,4,5,3,1,6] => [2,4,5,3,1,6] => [6,2,5,3,4,-1] => [-1,4,3,5,2,6]
[2,5,1,3,4,6] => [2,5,1,3,4,6] => [4,2,5,6,3,-1] => [-1,3,6,5,2,4]
[2,5,3,4,1,6] => [2,5,3,4,1,6] => [6,2,4,5,3,-1] => [-1,3,5,4,2,6]
[2,5,4,3,1,6] => [2,5,4,3,1,6] => [6,2,5,4,3,-1] => [-1,3,4,5,2,6]
[3,1,2,4,5,6] => [3,1,2,4,5,6] => [3,4,2,5,6,-1] => [-1,6,5,2,4,3]
[3,1,2,4,6,5] => [3,1,2,4,6,5] => [3,4,2,5,-1,6] => [6,-1,5,2,4,3]
[3,1,2,5,4,6] => [3,1,2,5,4,6] => [3,4,2,6,5,-1] => [-1,5,6,2,4,3]
[3,1,2,5,6,4] => [3,1,2,5,6,4] => [3,4,2,-1,5,6] => [6,5,-1,2,4,3]
[3,1,4,2,5,6] => [3,1,4,2,5,6] => [3,5,2,4,6,-1] => [-1,6,4,2,5,3]
[3,1,4,5,2,6] => [3,1,4,5,2,6] => [3,6,2,4,5,-1] => [-1,5,4,2,6,3]
[3,1,5,2,4,6] => [3,1,5,2,4,6] => [3,5,2,6,4,-1] => [-1,4,6,2,5,3]
[3,1,6,2,5,4] => [3,1,6,2,5,4] => [3,5,2,-1,6,4] => [4,6,-1,2,5,3]
[3,2,1,4,5,6] => [3,2,1,4,5,6] => [4,3,2,5,6,-1] => [-1,6,5,2,3,4]
[3,2,1,5,4,6] => [3,2,1,5,4,6] => [4,3,2,6,5,-1] => [-1,5,6,2,3,4]
[3,2,4,1,5,6] => [3,2,4,1,5,6] => [5,3,2,4,6,-1] => [-1,6,4,2,3,5]
[3,2,4,5,1,6] => [3,2,4,5,1,6] => [6,3,2,4,5,-1] => [-1,5,4,2,3,6]
[3,2,5,4,1,6] => [3,2,5,4,1,6] => [6,3,2,5,4,-1] => [-1,4,5,2,3,6]
[3,4,1,2,5,6] => [3,4,1,2,5,6] => [4,5,2,3,6,-1] => [-1,6,3,2,5,4]
[3,4,1,5,2,6] => [3,4,1,5,2,6] => [4,6,2,3,5,-1] => [-1,5,3,2,6,4]
[3,4,2,1,5,6] => [3,4,2,1,5,6] => [5,4,2,3,6,-1] => [-1,6,3,2,4,5]
[3,4,2,5,1,6] => [3,4,2,5,1,6] => [6,4,2,3,5,-1] => [-1,5,3,2,4,6]
[3,4,5,1,2,6] => [3,4,5,1,2,6] => [5,6,2,3,4,-1] => [-1,4,3,2,6,5]
[3,4,5,2,1,6] => [3,4,5,2,1,6] => [6,5,2,3,4,-1] => [-1,4,3,2,5,6]
[3,5,1,2,4,6] => [3,5,1,2,4,6] => [4,5,2,6,3,-1] => [-1,3,6,2,5,4]
[3,5,1,2,6,4] => [3,5,1,2,6,4] => [4,5,2,-1,3,6] => [6,3,-1,2,5,4]
[3,5,1,4,2,6] => [3,5,1,4,2,6] => [4,6,2,5,3,-1] => [-1,3,5,2,6,4]
[3,5,4,1,2,6] => [3,5,4,1,2,6] => [5,6,2,4,3,-1] => [-1,3,4,2,6,5]
[3,5,4,2,1,6] => [3,5,4,2,1,6] => [6,5,2,4,3,-1] => [-1,3,4,2,5,6]
[3,5,6,1,2,4] => [3,5,6,1,2,4] => [5,6,2,-1,3,4] => [4,3,-1,2,6,5]
[3,6,1,2,4,5] => [3,6,1,2,4,5] => [4,5,2,6,-1,3] => [3,-1,6,2,5,4]
[3,6,1,2,5,4] => [3,6,1,2,5,4] => [4,5,2,-1,6,3] => [3,6,-1,2,5,4]
[4,1,2,3,5,6] => [4,1,2,3,5,6] => [3,4,5,2,6,-1] => [-1,6,2,5,4,3]
[4,1,2,5,3,6] => [4,1,2,5,3,6] => [3,4,6,2,5,-1] => [-1,5,2,6,4,3]
[4,1,3,2,5,6] => [4,1,3,2,5,6] => [3,5,4,2,6,-1] => [-1,6,2,4,5,3]
[4,1,3,5,6,2] => [4,1,3,5,6,2] => [3,-1,4,2,5,6] => [6,5,2,4,-1,3]
[4,1,5,2,3,6] => [4,1,5,2,3,6] => [3,5,6,2,4,-1] => [-1,4,2,6,5,3]
[4,1,6,3,5,2] => [4,1,6,3,5,2] => [3,-1,5,2,6,4] => [4,6,2,5,-1,3]
[4,2,1,3,5,6] => [4,2,1,3,5,6] => [4,3,5,2,6,-1] => [-1,6,2,5,3,4]
[4,2,3,1,5,6] => [4,2,3,1,5,6] => [5,3,4,2,6,-1] => [-1,6,2,4,3,5]
[4,2,3,5,1,6] => [4,2,3,5,1,6] => [6,3,4,2,5,-1] => [-1,5,2,4,3,6]
[4,3,1,2,5,6] => [4,3,1,2,5,6] => [4,5,3,2,6,-1] => [-1,6,2,3,5,4]
[4,3,2,1,5,6] => [4,3,2,1,5,6] => [5,4,3,2,6,-1] => [-1,6,2,3,4,5]
[4,3,2,5,1,6] => [4,3,2,5,1,6] => [6,4,3,2,5,-1] => [-1,5,2,3,4,6]
[4,3,5,1,2,6] => [4,3,5,1,2,6] => [5,6,3,2,4,-1] => [-1,4,2,3,6,5]
[4,3,5,2,1,6] => [4,3,5,2,1,6] => [6,5,3,2,4,-1] => [-1,4,2,3,5,6]
[4,5,1,2,3,6] => [4,5,1,2,3,6] => [4,5,6,2,3,-1] => [-1,3,2,6,5,4]
[4,5,1,3,2,6] => [4,5,1,3,2,6] => [4,6,5,2,3,-1] => [-1,3,2,5,6,4]
[4,5,1,3,6,2] => [4,5,1,3,6,2] => [4,-1,5,2,3,6] => [6,3,2,5,-1,4]
[4,5,2,1,3,6] => [4,5,2,1,3,6] => [5,4,6,2,3,-1] => [-1,3,2,6,4,5]
[4,5,2,3,1,6] => [4,5,2,3,1,6] => [6,4,5,2,3,-1] => [-1,3,2,5,4,6]
[4,5,3,1,2,6] => [4,5,3,1,2,6] => [5,6,4,2,3,-1] => [-1,3,2,4,6,5]
[4,5,3,2,1,6] => [4,5,3,2,1,6] => [6,5,4,2,3,-1] => [-1,3,2,4,5,6]
[4,5,6,1,3,2] => [4,5,6,1,3,2] => [5,-1,6,2,3,4] => [4,3,2,6,-1,5]
[5,1,2,3,4,6] => [5,1,2,3,4,6] => [3,4,5,6,2,-1] => [-1,2,6,5,4,3]
[5,1,2,3,6,4] => [5,1,2,3,6,4] => [3,4,5,-1,2,6] => [6,2,-1,5,4,3]
[5,1,2,4,3,6] => [5,1,2,4,3,6] => [3,4,6,5,2,-1] => [-1,2,5,6,4,3]
[5,1,3,2,4,6] => [5,1,3,2,4,6] => [3,5,4,6,2,-1] => [-1,2,6,4,5,3]
[5,1,3,4,2,6] => [5,1,3,4,2,6] => [3,6,4,5,2,-1] => [-1,2,5,4,6,3]
[5,1,4,2,3,6] => [5,1,4,2,3,6] => [3,5,6,4,2,-1] => [-1,2,4,6,5,3]
[5,1,4,3,2,6] => [5,1,4,3,2,6] => [3,6,5,4,2,-1] => [-1,2,4,5,6,3]
[5,2,1,3,4,6] => [5,2,1,3,4,6] => [4,3,5,6,2,-1] => [-1,2,6,5,3,4]
[5,2,1,4,3,6] => [5,2,1,4,3,6] => [4,3,6,5,2,-1] => [-1,2,5,6,3,4]
[5,2,3,1,4,6] => [5,2,3,1,4,6] => [5,3,4,6,2,-1] => [-1,2,6,4,3,5]
[5,2,3,4,1,6] => [5,2,3,4,1,6] => [6,3,4,5,2,-1] => [-1,2,5,4,3,6]
[5,2,4,3,1,6] => [5,2,4,3,1,6] => [6,3,5,4,2,-1] => [-1,2,4,5,3,6]
[5,3,1,2,4,6] => [5,3,1,2,4,6] => [4,5,3,6,2,-1] => [-1,2,6,3,5,4]
[5,3,2,1,4,6] => [5,3,2,1,4,6] => [5,4,3,6,2,-1] => [-1,2,6,3,4,5]
[5,3,2,4,1,6] => [5,3,2,4,1,6] => [6,4,3,5,2,-1] => [-1,2,5,3,4,6]
[5,3,4,1,2,6] => [5,3,4,1,2,6] => [5,6,3,4,2,-1] => [-1,2,4,3,6,5]
[5,3,4,2,1,6] => [5,3,4,2,1,6] => [6,5,3,4,2,-1] => [-1,2,4,3,5,6]
[5,4,1,2,3,6] => [5,4,1,2,3,6] => [4,5,6,3,2,-1] => [-1,2,3,6,5,4]
[5,4,1,3,2,6] => [5,4,1,3,2,6] => [4,6,5,3,2,-1] => [-1,2,3,5,6,4]
[5,4,2,1,3,6] => [5,4,2,1,3,6] => [5,4,6,3,2,-1] => [-1,2,3,6,4,5]
[5,4,2,3,1,6] => [5,4,2,3,1,6] => [6,4,5,3,2,-1] => [-1,2,3,5,4,6]
[5,4,3,1,2,6] => [5,4,3,1,2,6] => [5,6,4,3,2,-1] => [-1,2,3,4,6,5]
[5,4,3,2,1,6] => [5,4,3,2,1,6] => [6,5,4,3,2,-1] => [-1,2,3,4,5,6]
[5,6,1,2,3,4] => [5,6,1,2,3,4] => [4,5,6,-1,2,3] => [3,2,-1,6,5,4]
[6,1,2,3,4,5] => [6,1,2,3,4,5] => [3,4,5,6,-1,2] => [2,-1,6,5,4,3]
[6,1,2,3,5,4] => [6,1,2,3,5,4] => [3,4,5,-1,6,2] => [2,6,-1,5,4,3]
[6,1,3,4,5,2] => [6,1,3,4,5,2] => [3,-1,4,5,6,2] => [2,6,5,4,-1,3]
[6,2,1,3,4,5] => [6,2,1,3,4,5] => [4,3,5,6,-1,2] => [2,-1,6,5,3,4]
[6,3,5,1,2,4] => [6,3,5,1,2,4] => [5,6,3,-1,4,2] => [2,4,-1,3,6,5]
[1,3,4,7,5,6,2] => [1,3,4,7,5,6,2] => [2,-1,3,4,6,7,5] => [5,7,6,4,3,-1,2]
[1,3,6,7,4,5,2] => [1,3,6,7,4,5,2] => [2,-1,3,6,7,4,5] => [5,4,7,6,3,-1,2]
[1,7,5,6,2,3,4] => [1,7,5,6,2,3,4] => [2,6,7,-1,4,5,3] => [3,5,4,-1,7,6,2]
[2,4,5,6,1,3,7] => [2,4,5,6,1,3,7] => [6,2,7,3,4,5,-1] => [-1,5,4,3,7,2,6]
[6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => [7,6,5,4,3,2,-1] => [-1,2,3,4,5,6,7]
[7,3,1,2,4,5,6] => [7,3,1,2,4,5,6] => [4,5,3,6,7,-1,2] => [2,-1,7,6,3,5,4]
[7,6,1,2,3,4,5] => [7,6,1,2,3,4,5] => [4,5,6,7,-1,3,2] => [2,3,-1,7,6,5,4]
[5,6,3,4,1,2,7,8] => [5,6,3,4,1,2,7,8] => [6,7,4,5,2,3,8,-1] => [-1,8,3,2,5,4,7,6]
[1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,-1] => [-1,8,7,6,5,4,3,2]
[1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [2,4,3,6,5,7,8,-1] => [-1,8,7,5,6,3,4,2]
[6,7,8,1,2,3,5,4] => [6,7,8,1,2,3,5,4] => [5,6,7,-1,8,2,3,4] => [4,3,2,8,-1,7,6,5]
[4,2,6,1,5,3,7,8] => [4,2,6,1,5,3,7,8] => [5,3,7,2,6,4,8,-1] => [-1,8,4,6,2,7,3,5]
Map
to signed permutation
Description
The signed permutation with all signs positive.
Map
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 $2n$.
Map
reverse
Description
The reversal of a signed permutation.