Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St000708
Mapping
Mp00170: Permutations —to signed permutation⟶ Signed permutations
Mp00281: Signed permutations —rowmotion⟶ Signed permutations
Mp00166: Signed permutations —even cycle type⟶ Integer partitions
St000708: Integer partitions ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[2,3,1] => [2,3,1] => [2,1,-3] => [2]
 => 2
[3,2,1] => [3,2,1] => [1,2,-3] => [1,1]
 => 1
[1,3,4,2] => [1,3,4,2] => [-4,2,3,1] => [1,1]
 => 1
[1,4,3,2] => [1,4,3,2] => [-4,3,2,1] => [2]
 => 2
[2,1,4,3] => [2,1,4,3] => [1,-4,3,2] => [1,1]
 => 1
[2,3,1,4] => [2,3,1,4] => [2,1,-4,3] => [2]
 => 2
[2,3,4,1] => [2,3,4,1] => [3,1,2,-4] => [3]
 => 3
[2,4,3,1] => [2,4,3,1] => [3,2,1,-4] => [2,1]
 => 2
[3,2,1,4] => [3,2,1,4] => [1,2,-4,3] => [1,1]
 => 1
[3,2,4,1] => [3,2,4,1] => [1,3,2,-4] => [2,1]
 => 2
[3,4,2,1] => [3,4,2,1] => [2,1,3,-4] => [2,1]
 => 2
[4,1,2,3] => [4,1,2,3] => [3,-4,1,2] => [2]
 => 2
[4,2,3,1] => [4,2,3,1] => [2,3,1,-4] => [3]
 => 3
[4,3,2,1] => [4,3,2,1] => [1,2,3,-4] => [1,1,1]
 => 1
[1,2,4,5,3] => [1,2,4,5,3] => [-5,1,3,4,2] => [1,1]
 => 1
[1,2,5,4,3] => [1,2,5,4,3] => [-5,1,4,3,2] => [2]
 => 2
[1,3,2,5,4] => [1,3,2,5,4] => [-5,2,1,4,3] => [1,1]
 => 1
[1,3,4,2,5] => [1,3,4,2,5] => [-5,2,3,1,4] => [1,1]
 => 1
[1,3,4,5,2] => [1,3,4,5,2] => [-5,2,3,4,1] => [1,1,1]
 => 1
[1,3,5,4,2] => [1,3,5,4,2] => [-5,2,4,3,1] => [2,1]
 => 2
[1,4,3,2,5] => [1,4,3,2,5] => [-5,3,2,1,4] => [2]
 => 2
[1,4,3,5,2] => [1,4,3,5,2] => [-5,3,2,4,1] => [2,1]
 => 2
[1,4,5,3,2] => [1,4,5,3,2] => [-5,3,4,2,1] => [3]
 => 3
[1,5,2,3,4] => [1,5,2,3,4] => [-5,4,1,2,3] => [2]
 => 2
[1,5,3,4,2] => [1,5,3,4,2] => [-5,4,2,3,1] => [3]
 => 3
[1,5,4,3,2] => [1,5,4,3,2] => [-5,4,3,2,1] => [2,1]
 => 2
[2,1,3,5,4] => [2,1,3,5,4] => [1,-5,2,4,3] => [1,1]
 => 1
[2,1,4,3,5] => [2,1,4,3,5] => [1,-5,3,2,4] => [1,1]
 => 1
[2,1,4,5,3] => [2,1,4,5,3] => [1,-5,3,4,2] => [1,1,1]
 => 1
[2,1,5,4,3] => [2,1,5,4,3] => [1,-5,4,3,2] => [2,1]
 => 2
[2,3,1,4,5] => [2,3,1,4,5] => [2,1,-5,3,4] => [2]
 => 2
[2,3,1,5,4] => [2,3,1,5,4] => [2,1,-5,4,3] => [2,1]
 => 2
[2,3,4,1,5] => [2,3,4,1,5] => [3,1,2,-5,4] => [3]
 => 3
[2,3,4,5,1] => [2,3,4,5,1] => [4,1,2,3,-5] => [4]
 => 4
[2,3,5,4,1] => [2,3,5,4,1] => [4,1,3,2,-5] => [3,1]
 => 3
[2,4,3,1,5] => [2,4,3,1,5] => [3,2,1,-5,4] => [2,1]
 => 2
[2,4,3,5,1] => [2,4,3,5,1] => [4,2,1,3,-5] => [3,1]
 => 3
[2,4,5,3,1] => [2,4,5,3,1] => [4,2,3,1,-5] => [2,1,1]
 => 2
[2,5,1,3,4] => [2,5,1,3,4] => [4,1,-5,2,3] => [3]
 => 3
[2,5,3,4,1] => [2,5,3,4,1] => [4,3,1,2,-5] => [4]
 => 4
[2,5,4,3,1] => [2,5,4,3,1] => [4,3,2,1,-5] => [2,2]
 => 4
[3,1,4,5,2] => [3,1,4,5,2] => [2,-5,3,4,1] => [1,1]
 => 1
[3,1,5,4,2] => [3,1,5,4,2] => [2,-5,4,3,1] => [2]
 => 2
[3,2,1,4,5] => [3,2,1,4,5] => [1,2,-5,3,4] => [1,1]
 => 1
[3,2,1,5,4] => [3,2,1,5,4] => [1,2,-5,4,3] => [1,1,1]
 => 1
[3,2,4,1,5] => [3,2,4,1,5] => [1,3,2,-5,4] => [2,1]
 => 2
[3,2,4,5,1] => [3,2,4,5,1] => [1,4,2,3,-5] => [3,1]
 => 3
[3,2,5,4,1] => [3,2,5,4,1] => [1,4,3,2,-5] => [2,1,1]
 => 2
[3,4,1,5,2] => [3,4,1,5,2] => [3,2,-5,4,1] => [1,1]
 => 1
[3,4,2,1,5] => [3,4,2,1,5] => [2,1,3,-5,4] => [2,1]
 => 2
Description
The product of the parts of an integer partition.