Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St000939
Mapping
Mp00260: Signed permutations —Demazure product with inverse⟶ Signed permutations
Mp00167: Signed permutations —inverse Kreweras complement⟶ Signed permutations
Mp00169: Signed permutations —odd cycle type⟶ Integer partitions
St000939: Integer partitions ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[1,2] => [1,2] => [2,-1] => [2]
 => 1
[-1,2] => [-1,-2] => [-2,1] => [2]
 => 1
[-1,-2] => [-1,-2] => [-2,1] => [2]
 => 1
[-2,-1] => [-1,-2] => [-2,1] => [2]
 => 1
[1,2,3] => [1,2,3] => [2,3,-1] => [3]
 => 2
[1,-2,3] => [1,-2,-3] => [-2,-3,-1] => [3]
 => 2
[1,-2,-3] => [1,-2,-3] => [-2,-3,-1] => [3]
 => 2
[-1,2,3] => [-1,-2,3] => [-2,3,1] => [3]
 => 2
[1,3,2] => [1,3,2] => [3,2,-1] => [2]
 => 1
[1,-3,-2] => [1,-2,-3] => [-2,-3,-1] => [3]
 => 2
[-1,3,2] => [-1,-2,3] => [-2,3,1] => [3]
 => 2
[2,1,3] => [2,1,3] => [1,3,-2] => [2]
 => 1
[2,-1,3] => [-1,2,-3] => [2,-3,1] => [3]
 => 2
[2,-1,-3] => [-1,2,-3] => [2,-3,1] => [3]
 => 2
[-2,1,-3] => [-2,-1,-3] => [-1,-3,2] => [2,1]
 => 1
[2,-3,1] => [-3,2,-1] => [2,-1,3] => [2]
 => 1
[2,-3,-1] => [-1,2,-3] => [2,-3,1] => [3]
 => 2
[-2,-3,1] => [-2,-1,-3] => [-1,-3,2] => [2,1]
 => 1
[3,1,-2] => [3,-2,1] => [-2,1,-3] => [2,1]
 => 1
[3,-1,2] => [-1,-2,3] => [-2,3,1] => [3]
 => 2
[3,-1,-2] => [-1,-2,3] => [-2,3,1] => [3]
 => 2
[-3,1,2] => [-3,2,-1] => [2,-1,3] => [2]
 => 1
[3,-2,-1] => [-1,-2,3] => [-2,3,1] => [3]
 => 2
[-3,2,1] => [-3,2,-1] => [2,-1,3] => [2]
 => 1
[-3,2,-1] => [-1,-3,-2] => [-3,-2,1] => [2,1]
 => 1
[-3,-2,1] => [-2,-1,-3] => [-1,-3,2] => [2,1]
 => 1
[1,2,3,4] => [1,2,3,4] => [2,3,4,-1] => [4]
 => 2
[1,2,-3,4] => [1,2,-3,-4] => [2,-3,-4,-1] => [4]
 => 2
[1,2,-3,-4] => [1,2,-3,-4] => [2,-3,-4,-1] => [4]
 => 2
[1,-2,3,4] => [1,-2,-3,4] => [-2,-3,4,-1] => [4]
 => 2
[-1,2,3,4] => [-1,-2,3,4] => [-2,3,4,1] => [4]
 => 2
[-1,2,-3,4] => [-1,-2,-3,-4] => [-2,-3,-4,1] => [4]
 => 2
[-1,2,-3,-4] => [-1,-2,-3,-4] => [-2,-3,-4,1] => [4]
 => 2
[-1,-2,3,4] => [-1,-2,-3,-4] => [-2,-3,-4,1] => [4]
 => 2
[-1,-2,3,-4] => [-1,-2,-3,-4] => [-2,-3,-4,1] => [4]
 => 2
[-1,-2,-3,4] => [-1,-2,-3,-4] => [-2,-3,-4,1] => [4]
 => 2
[-1,-2,-3,-4] => [-1,-2,-3,-4] => [-2,-3,-4,1] => [4]
 => 2
[1,2,4,3] => [1,2,4,3] => [2,4,3,-1] => [3]
 => 2
[1,2,-4,-3] => [1,2,-3,-4] => [2,-3,-4,-1] => [4]
 => 2
[1,-2,4,3] => [1,-2,-3,4] => [-2,-3,4,-1] => [4]
 => 2
[-1,2,4,3] => [-1,-2,4,3] => [-2,4,3,1] => [3]
 => 2
[-1,2,-4,-3] => [-1,-2,-3,-4] => [-2,-3,-4,1] => [4]
 => 2
[-1,-2,4,3] => [-1,-2,-3,-4] => [-2,-3,-4,1] => [4]
 => 2
[-1,-2,4,-3] => [-1,-2,-3,-4] => [-2,-3,-4,1] => [4]
 => 2
[-1,-2,-4,3] => [-1,-2,-3,-4] => [-2,-3,-4,1] => [4]
 => 2
[-1,-2,-4,-3] => [-1,-2,-3,-4] => [-2,-3,-4,1] => [4]
 => 2
[1,3,2,4] => [1,3,2,4] => [3,2,4,-1] => [3]
 => 2
[1,3,-2,4] => [1,-2,3,-4] => [-2,3,-4,-1] => [4]
 => 2
[1,3,-2,-4] => [1,-2,3,-4] => [-2,3,-4,-1] => [4]
 => 2
[1,-3,2,-4] => [1,-3,-2,-4] => [-3,-2,-4,-1] => [3,1]
 => 2
Description
The number of characters of the symmetric group whose value on the partition is positive.