Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St000940
Mapping
Mp00170: Permutations —to signed permutation⟶ Signed permutations
Mp00190: Signed permutations —Foata-Han⟶ Signed permutations
Mp00166: Signed permutations —even cycle type⟶ Integer partitions
St000940: Integer partitions ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[1,2] => [1,2] => [1,2] => [1,1]
 => 0
[1,2,3] => [1,2,3] => [1,2,3] => [1,1,1]
 => 0
[2,3,1] => [2,3,1] => [3,-2,1] => [2]
 => 0
[3,1,2] => [3,1,2] => [3,1,2] => [3]
 => 0
[3,2,1] => [3,2,1] => [-2,-3,1] => [3]
 => 0
[1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
 => 0
[1,2,4,3] => [1,2,4,3] => [1,2,-4,3] => [1,1]
 => 0
[1,3,2,4] => [1,3,2,4] => [1,-3,2,4] => [1,1]
 => 0
[1,3,4,2] => [1,3,4,2] => [1,4,-3,2] => [2,1]
 => 1
[1,4,3,2] => [1,4,3,2] => [1,-3,-4,2] => [3,1]
 => 2
[2,1,3,4] => [2,1,3,4] => [-2,1,3,4] => [1,1]
 => 0
[2,3,1,4] => [2,3,1,4] => [3,-2,1,4] => [2,1]
 => 1
[3,1,2,4] => [3,1,2,4] => [3,1,2,4] => [3,1]
 => 2
[3,2,1,4] => [3,2,1,4] => [-2,-3,1,4] => [3,1]
 => 2
[3,4,1,2] => [3,4,1,2] => [3,4,1,2] => [2,2]
 => 0
[4,1,2,3] => [4,1,2,3] => [1,4,2,3] => [3,1]
 => 2
[1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,1,1,1,1]
 => 0
[1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,-5,4] => [1,1,1]
 => 0
[1,2,4,3,5] => [1,2,4,3,5] => [1,2,-4,3,5] => [1,1,1]
 => 0
[1,2,4,5,3] => [1,2,4,5,3] => [1,2,5,-4,3] => [2,1,1]
 => 1
[1,2,5,4,3] => [1,2,5,4,3] => [1,2,-4,-5,3] => [3,1,1]
 => 1
[1,3,2,4,5] => [1,3,2,4,5] => [1,-3,2,4,5] => [1,1,1]
 => 0
[1,3,4,2,5] => [1,3,4,2,5] => [1,4,-3,2,5] => [2,1,1]
 => 1
[1,4,3,2,5] => [1,4,3,2,5] => [1,-3,-4,2,5] => [3,1,1]
 => 1
[1,4,5,2,3] => [1,4,5,2,3] => [-4,1,5,2,3] => [2]
 => 0
[1,5,2,3,4] => [1,5,2,3,4] => [5,1,2,3,4] => [5]
 => 2
[1,5,2,4,3] => [1,5,2,4,3] => [-4,1,2,-5,3] => [5]
 => 2
[1,5,3,4,2] => [1,5,3,4,2] => [-3,1,4,-5,2] => [5]
 => 2
[1,5,4,2,3] => [1,5,4,2,3] => [-4,-5,1,2,3] => [5]
 => 2
[2,1,3,4,5] => [2,1,3,4,5] => [-2,1,3,4,5] => [1,1,1]
 => 0
[2,1,4,5,3] => [2,1,4,5,3] => [-2,1,5,-4,3] => [2]
 => 0
[2,1,5,3,4] => [2,1,5,3,4] => [-2,-5,1,3,4] => [5]
 => 2
[2,1,5,4,3] => [2,1,5,4,3] => [-2,1,-4,-5,3] => [3]
 => 0
[2,3,1,4,5] => [2,3,1,4,5] => [3,-2,1,4,5] => [2,1,1]
 => 1
[2,3,1,5,4] => [2,3,1,5,4] => [3,-2,1,-5,4] => [2]
 => 0
[2,3,4,5,1] => [2,3,4,5,1] => [3,4,5,-2,1] => [3]
 => 0
[2,3,5,1,4] => [2,3,5,1,4] => [3,-2,5,1,4] => [4]
 => 1
[2,3,5,4,1] => [2,3,5,4,1] => [3,4,-2,-5,1] => [5]
 => 2
[2,4,1,5,3] => [2,4,1,5,3] => [5,-2,1,-4,3] => [3]
 => 0
[2,4,3,5,1] => [2,4,3,5,1] => [3,-2,5,-4,1] => [3]
 => 0
[2,4,5,1,3] => [2,4,5,1,3] => [-2,4,5,1,3] => [2]
 => 0
[2,4,5,3,1] => [2,4,5,3,1] => [5,3,-2,-4,1] => [2]
 => 0
[2,5,1,3,4] => [2,5,1,3,4] => [-2,1,5,3,4] => [3]
 => 0
[2,5,1,4,3] => [2,5,1,4,3] => [-2,4,1,-5,3] => [5]
 => 2
[2,5,3,1,4] => [2,5,3,1,4] => [3,-5,-2,1,4] => [5]
 => 2
[2,5,3,4,1] => [2,5,3,4,1] => [-2,3,4,-5,1] => [5]
 => 2
[2,5,4,1,3] => [2,5,4,1,3] => [-2,-5,4,1,3] => [5]
 => 2
[2,5,4,3,1] => [2,5,4,3,1] => [3,-2,-4,-5,1] => [4]
 => 1
[3,1,2,4,5] => [3,1,2,4,5] => [3,1,2,4,5] => [3,1,1]
 => 1
[3,1,2,5,4] => [3,1,2,5,4] => [3,1,2,-5,4] => [3]
 => 0
Description
The number of characters of the symmetric group whose value on the partition is zero. The maximal value for any given size is recorded in [2].