Identifier
-
Mp00170:
Permutations
—to signed permutation⟶
Signed permutations
St001555: Signed permutations ⟶ ℤ
Values
[1] => [1] => 1
[1,2] => [1,2] => 1
[2,1] => [2,1] => 2
[1,2,3] => [1,2,3] => 1
[1,3,2] => [1,3,2] => 2
[2,1,3] => [2,1,3] => 2
[2,3,1] => [2,3,1] => 3
[3,1,2] => [3,1,2] => 3
[3,2,1] => [3,2,1] => 2
[1,2,3,4] => [1,2,3,4] => 1
[1,2,4,3] => [1,2,4,3] => 2
[1,3,2,4] => [1,3,2,4] => 2
[1,3,4,2] => [1,3,4,2] => 3
[1,4,2,3] => [1,4,2,3] => 3
[1,4,3,2] => [1,4,3,2] => 2
[2,1,3,4] => [2,1,3,4] => 2
[2,1,4,3] => [2,1,4,3] => 2
[2,3,1,4] => [2,3,1,4] => 3
[2,3,4,1] => [2,3,4,1] => 4
[2,4,1,3] => [2,4,1,3] => 4
[2,4,3,1] => [2,4,3,1] => 3
[3,1,2,4] => [3,1,2,4] => 3
[3,1,4,2] => [3,1,4,2] => 4
[3,2,1,4] => [3,2,1,4] => 2
[3,2,4,1] => [3,2,4,1] => 3
[3,4,1,2] => [3,4,1,2] => 2
[3,4,2,1] => [3,4,2,1] => 4
[4,1,2,3] => [4,1,2,3] => 4
[4,1,3,2] => [4,1,3,2] => 3
[4,2,1,3] => [4,2,1,3] => 3
[4,2,3,1] => [4,2,3,1] => 2
[4,3,1,2] => [4,3,1,2] => 4
[4,3,2,1] => [4,3,2,1] => 2
[1,2,3,4,5] => [1,2,3,4,5] => 1
[1,2,3,5,4] => [1,2,3,5,4] => 2
[1,2,4,3,5] => [1,2,4,3,5] => 2
[1,2,4,5,3] => [1,2,4,5,3] => 3
[1,2,5,3,4] => [1,2,5,3,4] => 3
[1,2,5,4,3] => [1,2,5,4,3] => 2
[1,3,2,4,5] => [1,3,2,4,5] => 2
[1,3,2,5,4] => [1,3,2,5,4] => 2
[1,3,4,2,5] => [1,3,4,2,5] => 3
[1,3,4,5,2] => [1,3,4,5,2] => 4
[1,3,5,2,4] => [1,3,5,2,4] => 4
[1,3,5,4,2] => [1,3,5,4,2] => 3
[1,4,2,3,5] => [1,4,2,3,5] => 3
[1,4,2,5,3] => [1,4,2,5,3] => 4
[1,4,3,2,5] => [1,4,3,2,5] => 2
[1,4,3,5,2] => [1,4,3,5,2] => 3
[1,4,5,2,3] => [1,4,5,2,3] => 2
[1,4,5,3,2] => [1,4,5,3,2] => 4
[1,5,2,3,4] => [1,5,2,3,4] => 4
[1,5,2,4,3] => [1,5,2,4,3] => 3
[1,5,3,2,4] => [1,5,3,2,4] => 3
[1,5,3,4,2] => [1,5,3,4,2] => 2
[1,5,4,2,3] => [1,5,4,2,3] => 4
[1,5,4,3,2] => [1,5,4,3,2] => 2
[2,1,3,4,5] => [2,1,3,4,5] => 2
[2,1,3,5,4] => [2,1,3,5,4] => 2
[2,1,4,3,5] => [2,1,4,3,5] => 2
[2,1,4,5,3] => [2,1,4,5,3] => 6
[2,1,5,3,4] => [2,1,5,3,4] => 6
[2,1,5,4,3] => [2,1,5,4,3] => 2
[2,3,1,4,5] => [2,3,1,4,5] => 3
[2,3,1,5,4] => [2,3,1,5,4] => 6
[2,3,4,1,5] => [2,3,4,1,5] => 4
[2,3,4,5,1] => [2,3,4,5,1] => 5
[2,3,5,1,4] => [2,3,5,1,4] => 5
[2,3,5,4,1] => [2,3,5,4,1] => 4
[2,4,1,3,5] => [2,4,1,3,5] => 4
[2,4,1,5,3] => [2,4,1,5,3] => 5
[2,4,3,1,5] => [2,4,3,1,5] => 3
[2,4,3,5,1] => [2,4,3,5,1] => 4
[2,4,5,1,3] => [2,4,5,1,3] => 6
[2,4,5,3,1] => [2,4,5,3,1] => 5
[2,5,1,3,4] => [2,5,1,3,4] => 5
[2,5,1,4,3] => [2,5,1,4,3] => 4
[2,5,3,1,4] => [2,5,3,1,4] => 4
[2,5,3,4,1] => [2,5,3,4,1] => 3
[2,5,4,1,3] => [2,5,4,1,3] => 5
[2,5,4,3,1] => [2,5,4,3,1] => 6
[3,1,2,4,5] => [3,1,2,4,5] => 3
[3,1,2,5,4] => [3,1,2,5,4] => 6
[3,1,4,2,5] => [3,1,4,2,5] => 4
[3,1,4,5,2] => [3,1,4,5,2] => 5
[3,1,5,2,4] => [3,1,5,2,4] => 5
[3,1,5,4,2] => [3,1,5,4,2] => 4
[3,2,1,4,5] => [3,2,1,4,5] => 2
[3,2,1,5,4] => [3,2,1,5,4] => 2
[3,2,4,1,5] => [3,2,4,1,5] => 3
[3,2,4,5,1] => [3,2,4,5,1] => 4
[3,2,5,1,4] => [3,2,5,1,4] => 4
[3,2,5,4,1] => [3,2,5,4,1] => 3
[3,4,1,2,5] => [3,4,1,2,5] => 2
[3,4,1,5,2] => [3,4,1,5,2] => 6
[3,4,2,1,5] => [3,4,2,1,5] => 4
[3,4,2,5,1] => [3,4,2,5,1] => 5
[3,4,5,1,2] => [3,4,5,1,2] => 5
[3,4,5,2,1] => [3,4,5,2,1] => 6
[3,5,1,2,4] => [3,5,1,2,4] => 6
[3,5,1,4,2] => [3,5,1,4,2] => 2
>>> Load all 143 entries. <<<
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Description
The order of a signed permutation.
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Description
The signed permutation with all signs positive.
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