Identifier
Mp00170: Permutations —to signed permutation⟶ Signed permutations
Mp00163: Signed permutations —permutation⟶ Permutations
Images
[1] => [1] => [1]
[1,2] => [1,2] => [1,2]
[2,1] => [2,1] => [2,1]
[1,2,3] => [1,2,3] => [1,2,3]
[1,3,2] => [1,3,2] => [1,3,2]
[2,1,3] => [2,1,3] => [2,1,3]
[2,3,1] => [2,3,1] => [2,3,1]
[3,1,2] => [3,1,2] => [3,1,2]
[3,2,1] => [3,2,1] => [3,2,1]
[1,2,3,4] => [1,2,3,4] => [1,2,3,4]
[1,2,4,3] => [1,2,4,3] => [1,2,4,3]
[1,3,2,4] => [1,3,2,4] => [1,3,2,4]
[1,3,4,2] => [1,3,4,2] => [1,3,4,2]
[1,4,2,3] => [1,4,2,3] => [1,4,2,3]
[1,4,3,2] => [1,4,3,2] => [1,4,3,2]
[2,1,3,4] => [2,1,3,4] => [2,1,3,4]
[2,1,4,3] => [2,1,4,3] => [2,1,4,3]
[2,3,1,4] => [2,3,1,4] => [2,3,1,4]
[2,3,4,1] => [2,3,4,1] => [2,3,4,1]
[2,4,1,3] => [2,4,1,3] => [2,4,1,3]
[2,4,3,1] => [2,4,3,1] => [2,4,3,1]
[3,1,2,4] => [3,1,2,4] => [3,1,2,4]
[3,1,4,2] => [3,1,4,2] => [3,1,4,2]
[3,2,1,4] => [3,2,1,4] => [3,2,1,4]
[3,2,4,1] => [3,2,4,1] => [3,2,4,1]
[3,4,1,2] => [3,4,1,2] => [3,4,1,2]
[3,4,2,1] => [3,4,2,1] => [3,4,2,1]
[4,1,2,3] => [4,1,2,3] => [4,1,2,3]
[4,1,3,2] => [4,1,3,2] => [4,1,3,2]
[4,2,1,3] => [4,2,1,3] => [4,2,1,3]
[4,2,3,1] => [4,2,3,1] => [4,2,3,1]
[4,3,1,2] => [4,3,1,2] => [4,3,1,2]
[4,3,2,1] => [4,3,2,1] => [4,3,2,1]
[1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5]
[1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4]
[1,2,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5]
[1,2,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3]
[1,2,5,3,4] => [1,2,5,3,4] => [1,2,5,3,4]
[1,2,5,4,3] => [1,2,5,4,3] => [1,2,5,4,3]
[1,3,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5]
[1,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4]
[1,3,4,2,5] => [1,3,4,2,5] => [1,3,4,2,5]
[1,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2]
[1,3,5,2,4] => [1,3,5,2,4] => [1,3,5,2,4]
[1,3,5,4,2] => [1,3,5,4,2] => [1,3,5,4,2]
[1,4,2,3,5] => [1,4,2,3,5] => [1,4,2,3,5]
[1,4,2,5,3] => [1,4,2,5,3] => [1,4,2,5,3]
[1,4,3,2,5] => [1,4,3,2,5] => [1,4,3,2,5]
[1,4,3,5,2] => [1,4,3,5,2] => [1,4,3,5,2]
[1,4,5,2,3] => [1,4,5,2,3] => [1,4,5,2,3]
[1,4,5,3,2] => [1,4,5,3,2] => [1,4,5,3,2]
[1,5,2,3,4] => [1,5,2,3,4] => [1,5,2,3,4]
[1,5,2,4,3] => [1,5,2,4,3] => [1,5,2,4,3]
[1,5,3,2,4] => [1,5,3,2,4] => [1,5,3,2,4]
[1,5,3,4,2] => [1,5,3,4,2] => [1,5,3,4,2]
[1,5,4,2,3] => [1,5,4,2,3] => [1,5,4,2,3]
[1,5,4,3,2] => [1,5,4,3,2] => [1,5,4,3,2]
[2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5]
[2,1,3,5,4] => [2,1,3,5,4] => [2,1,3,5,4]
[2,1,4,3,5] => [2,1,4,3,5] => [2,1,4,3,5]
[2,1,4,5,3] => [2,1,4,5,3] => [2,1,4,5,3]
[2,1,5,3,4] => [2,1,5,3,4] => [2,1,5,3,4]
[2,1,5,4,3] => [2,1,5,4,3] => [2,1,5,4,3]
[2,3,1,4,5] => [2,3,1,4,5] => [2,3,1,4,5]
[2,3,1,5,4] => [2,3,1,5,4] => [2,3,1,5,4]
[2,3,4,1,5] => [2,3,4,1,5] => [2,3,4,1,5]
[2,3,4,5,1] => [2,3,4,5,1] => [2,3,4,5,1]
[2,3,5,1,4] => [2,3,5,1,4] => [2,3,5,1,4]
[2,3,5,4,1] => [2,3,5,4,1] => [2,3,5,4,1]
[2,4,1,3,5] => [2,4,1,3,5] => [2,4,1,3,5]
[2,4,1,5,3] => [2,4,1,5,3] => [2,4,1,5,3]
[2,4,3,1,5] => [2,4,3,1,5] => [2,4,3,1,5]
[2,4,3,5,1] => [2,4,3,5,1] => [2,4,3,5,1]
[2,4,5,1,3] => [2,4,5,1,3] => [2,4,5,1,3]
[2,4,5,3,1] => [2,4,5,3,1] => [2,4,5,3,1]
[2,5,1,3,4] => [2,5,1,3,4] => [2,5,1,3,4]
[2,5,1,4,3] => [2,5,1,4,3] => [2,5,1,4,3]
[2,5,3,1,4] => [2,5,3,1,4] => [2,5,3,1,4]
[2,5,3,4,1] => [2,5,3,4,1] => [2,5,3,4,1]
[2,5,4,1,3] => [2,5,4,1,3] => [2,5,4,1,3]
[2,5,4,3,1] => [2,5,4,3,1] => [2,5,4,3,1]
[3,1,2,4,5] => [3,1,2,4,5] => [3,1,2,4,5]
[3,1,2,5,4] => [3,1,2,5,4] => [3,1,2,5,4]
[3,1,4,2,5] => [3,1,4,2,5] => [3,1,4,2,5]
[3,1,4,5,2] => [3,1,4,5,2] => [3,1,4,5,2]
[3,1,5,2,4] => [3,1,5,2,4] => [3,1,5,2,4]
[3,1,5,4,2] => [3,1,5,4,2] => [3,1,5,4,2]
[3,2,1,4,5] => [3,2,1,4,5] => [3,2,1,4,5]
[3,2,1,5,4] => [3,2,1,5,4] => [3,2,1,5,4]
[3,2,4,1,5] => [3,2,4,1,5] => [3,2,4,1,5]
[3,2,4,5,1] => [3,2,4,5,1] => [3,2,4,5,1]
[3,2,5,1,4] => [3,2,5,1,4] => [3,2,5,1,4]
[3,2,5,4,1] => [3,2,5,4,1] => [3,2,5,4,1]
[3,4,1,2,5] => [3,4,1,2,5] => [3,4,1,2,5]
[3,4,1,5,2] => [3,4,1,5,2] => [3,4,1,5,2]
[3,4,2,1,5] => [3,4,2,1,5] => [3,4,2,1,5]
[3,4,2,5,1] => [3,4,2,5,1] => [3,4,2,5,1]
[3,4,5,1,2] => [3,4,5,1,2] => [3,4,5,1,2]
[3,4,5,2,1] => [3,4,5,2,1] => [3,4,5,2,1]
[3,5,1,2,4] => [3,5,1,2,4] => [3,5,1,2,4]
[3,5,1,4,2] => [3,5,1,4,2] => [3,5,1,4,2]
>>> Load all 258 entries. <<<
[3,5,2,1,4] => [3,5,2,1,4] => [3,5,2,1,4]
[3,5,2,4,1] => [3,5,2,4,1] => [3,5,2,4,1]
[3,5,4,1,2] => [3,5,4,1,2] => [3,5,4,1,2]
[3,5,4,2,1] => [3,5,4,2,1] => [3,5,4,2,1]
[4,1,2,3,5] => [4,1,2,3,5] => [4,1,2,3,5]
[4,1,2,5,3] => [4,1,2,5,3] => [4,1,2,5,3]
[4,1,3,2,5] => [4,1,3,2,5] => [4,1,3,2,5]
[4,1,3,5,2] => [4,1,3,5,2] => [4,1,3,5,2]
[4,1,5,2,3] => [4,1,5,2,3] => [4,1,5,2,3]
[4,1,5,3,2] => [4,1,5,3,2] => [4,1,5,3,2]
[4,2,1,3,5] => [4,2,1,3,5] => [4,2,1,3,5]
[4,2,1,5,3] => [4,2,1,5,3] => [4,2,1,5,3]
[4,2,3,1,5] => [4,2,3,1,5] => [4,2,3,1,5]
[4,2,3,5,1] => [4,2,3,5,1] => [4,2,3,5,1]
[4,2,5,1,3] => [4,2,5,1,3] => [4,2,5,1,3]
[4,2,5,3,1] => [4,2,5,3,1] => [4,2,5,3,1]
[4,3,1,2,5] => [4,3,1,2,5] => [4,3,1,2,5]
[4,3,1,5,2] => [4,3,1,5,2] => [4,3,1,5,2]
[4,3,2,1,5] => [4,3,2,1,5] => [4,3,2,1,5]
[4,3,2,5,1] => [4,3,2,5,1] => [4,3,2,5,1]
[4,3,5,1,2] => [4,3,5,1,2] => [4,3,5,1,2]
[4,3,5,2,1] => [4,3,5,2,1] => [4,3,5,2,1]
[4,5,1,2,3] => [4,5,1,2,3] => [4,5,1,2,3]
[4,5,1,3,2] => [4,5,1,3,2] => [4,5,1,3,2]
[4,5,2,1,3] => [4,5,2,1,3] => [4,5,2,1,3]
[4,5,2,3,1] => [4,5,2,3,1] => [4,5,2,3,1]
[4,5,3,1,2] => [4,5,3,1,2] => [4,5,3,1,2]
[4,5,3,2,1] => [4,5,3,2,1] => [4,5,3,2,1]
[5,1,2,3,4] => [5,1,2,3,4] => [5,1,2,3,4]
[5,1,2,4,3] => [5,1,2,4,3] => [5,1,2,4,3]
[5,1,3,2,4] => [5,1,3,2,4] => [5,1,3,2,4]
[5,1,3,4,2] => [5,1,3,4,2] => [5,1,3,4,2]
[5,1,4,2,3] => [5,1,4,2,3] => [5,1,4,2,3]
[5,1,4,3,2] => [5,1,4,3,2] => [5,1,4,3,2]
[5,2,1,3,4] => [5,2,1,3,4] => [5,2,1,3,4]
[5,2,1,4,3] => [5,2,1,4,3] => [5,2,1,4,3]
[5,2,3,1,4] => [5,2,3,1,4] => [5,2,3,1,4]
[5,2,3,4,1] => [5,2,3,4,1] => [5,2,3,4,1]
[5,2,4,1,3] => [5,2,4,1,3] => [5,2,4,1,3]
[5,2,4,3,1] => [5,2,4,3,1] => [5,2,4,3,1]
[5,3,1,2,4] => [5,3,1,2,4] => [5,3,1,2,4]
[5,3,1,4,2] => [5,3,1,4,2] => [5,3,1,4,2]
[5,3,2,1,4] => [5,3,2,1,4] => [5,3,2,1,4]
[5,3,2,4,1] => [5,3,2,4,1] => [5,3,2,4,1]
[5,3,4,1,2] => [5,3,4,1,2] => [5,3,4,1,2]
[5,3,4,2,1] => [5,3,4,2,1] => [5,3,4,2,1]
[5,4,1,2,3] => [5,4,1,2,3] => [5,4,1,2,3]
[5,4,1,3,2] => [5,4,1,3,2] => [5,4,1,3,2]
[5,4,2,1,3] => [5,4,2,1,3] => [5,4,2,1,3]
[5,4,2,3,1] => [5,4,2,3,1] => [5,4,2,3,1]
[5,4,3,1,2] => [5,4,3,1,2] => [5,4,3,1,2]
[5,4,3,2,1] => [5,4,3,2,1] => [5,4,3,2,1]
[1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6]
[1,2,3,6,4,5] => [1,2,3,6,4,5] => [1,2,3,6,4,5]
[1,2,5,3,4,6] => [1,2,5,3,4,6] => [1,2,5,3,4,6]
[1,2,5,6,3,4] => [1,2,5,6,3,4] => [1,2,5,6,3,4]
[1,4,2,3,5,6] => [1,4,2,3,5,6] => [1,4,2,3,5,6]
[1,4,2,6,3,5] => [1,4,2,6,3,5] => [1,4,2,6,3,5]
[1,4,5,2,3,6] => [1,4,5,2,3,6] => [1,4,5,2,3,6]
[1,4,5,6,2,3] => [1,4,5,6,2,3] => [1,4,5,6,2,3]
[1,5,2,3,4,6] => [1,5,2,3,4,6] => [1,5,2,3,4,6]
[1,5,6,2,3,4] => [1,5,6,2,3,4] => [1,5,6,2,3,4]
[1,6,2,3,4,5] => [1,6,2,3,4,5] => [1,6,2,3,4,5]
[1,6,2,5,3,4] => [1,6,2,5,3,4] => [1,6,2,5,3,4]
[1,6,4,2,3,5] => [1,6,4,2,3,5] => [1,6,4,2,3,5]
[1,6,4,5,2,3] => [1,6,4,5,2,3] => [1,6,4,5,2,3]
[3,1,2,4,5,6] => [3,1,2,4,5,6] => [3,1,2,4,5,6]
[3,1,2,6,4,5] => [3,1,2,6,4,5] => [3,1,2,6,4,5]
[3,1,5,2,4,6] => [3,1,5,2,4,6] => [3,1,5,2,4,6]
[3,1,5,6,2,4] => [3,1,5,6,2,4] => [3,1,5,6,2,4]
[3,4,1,2,5,6] => [3,4,1,2,5,6] => [3,4,1,2,5,6]
[3,4,1,6,2,5] => [3,4,1,6,2,5] => [3,4,1,6,2,5]
[3,4,5,1,2,6] => [3,4,5,1,2,6] => [3,4,5,1,2,6]
[3,4,5,6,1,2] => [3,4,5,6,1,2] => [3,4,5,6,1,2]
[3,4,6,1,2,5] => [3,4,6,1,2,5] => [3,4,6,1,2,5]
[3,5,1,2,4,6] => [3,5,1,2,4,6] => [3,5,1,2,4,6]
[3,5,6,1,2,4] => [3,5,6,1,2,4] => [3,5,6,1,2,4]
[3,6,1,2,4,5] => [3,6,1,2,4,5] => [3,6,1,2,4,5]
[3,6,1,5,2,4] => [3,6,1,5,2,4] => [3,6,1,5,2,4]
[3,6,4,1,2,5] => [3,6,4,1,2,5] => [3,6,4,1,2,5]
[3,6,4,5,1,2] => [3,6,4,5,1,2] => [3,6,4,5,1,2]
[4,1,2,3,5,6] => [4,1,2,3,5,6] => [4,1,2,3,5,6]
[4,5,1,2,3,6] => [4,5,1,2,3,6] => [4,5,1,2,3,6]
[4,5,6,1,2,3] => [4,5,6,1,2,3] => [4,5,6,1,2,3]
[4,6,1,2,3,5] => [4,6,1,2,3,5] => [4,6,1,2,3,5]
[4,6,5,1,2,3] => [4,6,5,1,2,3] => [4,6,5,1,2,3]
[5,1,2,3,4,6] => [5,1,2,3,4,6] => [5,1,2,3,4,6]
[5,1,2,6,3,4] => [5,1,2,6,3,4] => [5,1,2,6,3,4]
[5,1,4,2,3,6] => [5,1,4,2,3,6] => [5,1,4,2,3,6]
[5,1,4,6,2,3] => [5,1,4,6,2,3] => [5,1,4,6,2,3]
[5,1,6,2,3,4] => [5,1,6,2,3,4] => [5,1,6,2,3,4]
[5,3,1,2,4,6] => [5,3,1,2,4,6] => [5,3,1,2,4,6]
[5,3,1,6,2,4] => [5,3,1,6,2,4] => [5,3,1,6,2,4]
[5,3,4,1,2,6] => [5,3,4,1,2,6] => [5,3,4,1,2,6]
[5,3,4,6,1,2] => [5,3,4,6,1,2] => [5,3,4,6,1,2]
[5,6,1,2,3,4] => [5,6,1,2,3,4] => [5,6,1,2,3,4]
[5,6,1,4,2,3] => [5,6,1,4,2,3] => [5,6,1,4,2,3]
[5,6,3,1,2,4] => [5,6,3,1,2,4] => [5,6,3,1,2,4]
[5,6,3,4,1,2] => [5,6,3,4,1,2] => [5,6,3,4,1,2]
[6,1,2,3,4,5] => [6,1,2,3,4,5] => [6,1,2,3,4,5]
[6,2,1,5,3,4] => [6,2,1,5,3,4] => [6,2,1,5,3,4]
[6,2,4,1,3,5] => [6,2,4,1,3,5] => [6,2,4,1,3,5]
[6,3,1,2,4,5] => [6,3,1,2,4,5] => [6,3,1,2,4,5]
[1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => [1,2,3,4,7,5,6]
[1,2,5,3,7,4,6] => [1,2,5,3,7,4,6] => [1,2,5,3,7,4,6]
[1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => [1,2,7,3,4,5,6]
[1,2,7,3,6,4,5] => [1,2,7,3,6,4,5] => [1,2,7,3,6,4,5]
[1,4,7,2,3,5,6] => [1,4,7,2,3,5,6] => [1,4,7,2,3,5,6]
[1,5,7,2,3,4,6] => [1,5,7,2,3,4,6] => [1,5,7,2,3,4,6]
[1,6,7,2,3,4,5] => [1,6,7,2,3,4,5] => [1,6,7,2,3,4,5]
[1,6,7,2,5,3,4] => [1,6,7,2,5,3,4] => [1,6,7,2,5,3,4]
[1,6,7,4,2,3,5] => [1,6,7,4,2,3,5] => [1,6,7,4,2,3,5]
[3,1,7,2,4,5,6] => [3,1,7,2,4,5,6] => [3,1,7,2,4,5,6]
[3,1,7,5,2,4,6] => [3,1,7,5,2,4,6] => [3,1,7,5,2,4,6]
[3,4,7,1,2,5,6] => [3,4,7,1,2,5,6] => [3,4,7,1,2,5,6]
[3,4,7,1,6,2,5] => [3,4,7,1,6,2,5] => [3,4,7,1,6,2,5]
[3,4,7,5,1,2,6] => [3,4,7,5,1,2,6] => [3,4,7,5,1,2,6]
[3,4,7,5,6,1,2] => [3,4,7,5,6,1,2] => [3,4,7,5,6,1,2]
[3,5,7,1,2,4,6] => [3,5,7,1,2,4,6] => [3,5,7,1,2,4,6]
[3,6,1,2,7,4,5] => [3,6,1,2,7,4,5] => [3,6,1,2,7,4,5]
[3,7,4,1,2,5,6] => [3,7,4,1,2,5,6] => [3,7,4,1,2,5,6]
[3,7,4,5,1,2,6] => [3,7,4,5,1,2,6] => [3,7,4,5,1,2,6]
[3,7,4,5,6,1,2] => [3,7,4,5,6,1,2] => [3,7,4,5,6,1,2]
[3,7,4,6,1,2,5] => [3,7,4,6,1,2,5] => [3,7,4,6,1,2,5]
[3,7,5,1,2,4,6] => [3,7,5,1,2,4,6] => [3,7,5,1,2,4,6]
[3,7,5,6,1,2,4] => [3,7,5,6,1,2,4] => [3,7,5,6,1,2,4]
[3,7,6,1,2,4,5] => [3,7,6,1,2,4,5] => [3,7,6,1,2,4,5]
[4,7,5,6,1,2,3] => [4,7,5,6,1,2,3] => [4,7,5,6,1,2,3]
[5,3,4,7,1,2,6] => [5,3,4,7,1,2,6] => [5,3,4,7,1,2,6]
[5,3,7,1,2,4,6] => [5,3,7,1,2,4,6] => [5,3,7,1,2,4,6]
[5,4,7,1,2,3,6] => [5,4,7,1,2,3,6] => [5,4,7,1,2,3,6]
[7,1,2,5,3,4,6] => [7,1,2,5,3,4,6] => [7,1,2,5,3,4,6]
[7,1,3,2,4,5,6] => [7,1,3,2,4,5,6] => [7,1,3,2,4,5,6]
[7,1,4,2,3,5,6] => [7,1,4,2,3,5,6] => [7,1,4,2,3,5,6]
[7,1,4,2,6,3,5] => [7,1,4,2,6,3,5] => [7,1,4,2,6,3,5]
[7,1,4,5,2,3,6] => [7,1,4,5,2,3,6] => [7,1,4,5,2,3,6]
[7,1,4,6,2,3,5] => [7,1,4,6,2,3,5] => [7,1,4,6,2,3,5]
[7,1,5,2,3,4,6] => [7,1,5,2,3,4,6] => [7,1,5,2,3,4,6]
[7,1,5,6,2,3,4] => [7,1,5,6,2,3,4] => [7,1,5,6,2,3,4]
[7,1,6,2,3,4,5] => [7,1,6,2,3,4,5] => [7,1,6,2,3,4,5]
[7,1,6,4,5,2,3] => [7,1,6,4,5,2,3] => [7,1,6,4,5,2,3]
[7,2,4,1,3,5,6] => [7,2,4,1,3,5,6] => [7,2,4,1,3,5,6]
[7,2,5,1,3,4,6] => [7,2,5,1,3,4,6] => [7,2,5,1,3,4,6]
[7,2,6,1,3,4,5] => [7,2,6,1,3,4,5] => [7,2,6,1,3,4,5]
[7,3,1,2,4,5,6] => [7,3,1,2,4,5,6] => [7,3,1,2,4,5,6]
[7,3,5,1,2,4,6] => [7,3,5,1,2,4,6] => [7,3,5,1,2,4,6]
[7,3,5,6,1,2,4] => [7,3,5,6,1,2,4] => [7,3,5,6,1,2,4]
[7,3,6,1,2,4,5] => [7,3,6,1,2,4,5] => [7,3,6,1,2,4,5]
[7,5,1,4,2,3,6] => [7,5,1,4,2,3,6] => [7,5,1,4,2,3,6]
[7,8,5,6,3,4,1,2] => [7,8,5,6,3,4,1,2] => [7,8,5,6,3,4,1,2]
[5,6,7,8,3,4,1,2] => [5,6,7,8,3,4,1,2] => [5,6,7,8,3,4,1,2]
[5,6,7,8,4,1,2,3] => [5,6,7,8,4,1,2,3] => [5,6,7,8,4,1,2,3]
[5,6,7,8,3,1,2,4] => [5,6,7,8,3,1,2,4] => [5,6,7,8,3,1,2,4]
[3,4,7,8,1,2,5,6] => [3,4,7,8,1,2,5,6] => [3,4,7,8,1,2,5,6]
[5,6,7,1,8,2,3,4] => [5,6,7,1,8,2,3,4] => [5,6,7,1,8,2,3,4]
[1,2,5,6,7,8,3,4] => [1,2,5,6,7,8,3,4] => [1,2,5,6,7,8,3,4]
[5,6,7,8,1,4,2,3] => [5,6,7,8,1,4,2,3] => [5,6,7,8,1,4,2,3]
Map
to signed permutation
Description
The signed permutation with all signs positive.
Map
permutation
Description
The permutation obtained by forgetting the colours.