Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St001629
Mapping
Mp00002: Alternating sign matrices —to left key permutation⟶ Permutations
Mp00071: Permutations —descent composition⟶ Integer compositions
Mp00133: Integer compositions —delta morphism⟶ Integer compositions
St001629: Integer compositions ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[[0,0,1],[0,1,0],[1,0,0]]
 => [3,2,1] => [1,1,1] => [3] => 1
[[0,0,1,0],[0,1,0,0],[1,0,0,0],[0,0,0,1]]
 => [3,2,1,4] => [1,1,2] => [2,1] => 0
[[0,1,0,0],[1,0,0,0],[0,0,0,1],[0,0,1,0]]
 => [2,1,4,3] => [1,2,1] => [1,1,1] => 1
[[0,0,1,0],[1,0,0,0],[0,1,-1,1],[0,0,1,0]]
 => [2,1,4,3] => [1,2,1] => [1,1,1] => 1
[[0,1,0,0],[0,0,1,0],[1,0,-1,1],[0,0,1,0]]
 => [2,1,4,3] => [1,2,1] => [1,1,1] => 1
[[0,0,1,0],[0,1,0,0],[1,0,-1,1],[0,0,1,0]]
 => [2,1,4,3] => [1,2,1] => [1,1,1] => 1
[[0,0,0,1],[0,1,0,0],[1,0,0,0],[0,0,1,0]]
 => [4,2,1,3] => [1,1,2] => [2,1] => 0
[[0,0,1,0],[1,0,0,0],[0,0,0,1],[0,1,0,0]]
 => [3,1,4,2] => [1,2,1] => [1,1,1] => 1
[[0,0,1,0],[0,1,0,0],[1,-1,0,1],[0,1,0,0]]
 => [3,1,4,2] => [1,2,1] => [1,1,1] => 1
[[1,0,0,0],[0,0,0,1],[0,0,1,0],[0,1,0,0]]
 => [1,4,3,2] => [2,1,1] => [1,2] => 0
[[0,1,0,0],[1,-1,0,1],[0,0,1,0],[0,1,0,0]]
 => [1,4,3,2] => [2,1,1] => [1,2] => 0
[[0,0,1,0],[1,0,-1,1],[0,0,1,0],[0,1,0,0]]
 => [1,4,3,2] => [2,1,1] => [1,2] => 0
[[0,0,0,1],[1,0,0,0],[0,0,1,0],[0,1,0,0]]
 => [4,1,3,2] => [1,2,1] => [1,1,1] => 1
[[0,1,0,0],[0,0,0,1],[1,-1,1,0],[0,1,0,0]]
 => [1,4,3,2] => [2,1,1] => [1,2] => 0
[[0,0,1,0],[0,1,-1,1],[1,-1,1,0],[0,1,0,0]]
 => [1,4,3,2] => [2,1,1] => [1,2] => 0
[[0,0,0,1],[0,1,0,0],[1,-1,1,0],[0,1,0,0]]
 => [4,1,3,2] => [1,2,1] => [1,1,1] => 1
[[0,0,0,1],[0,0,1,0],[1,0,0,0],[0,1,0,0]]
 => [4,3,1,2] => [1,1,2] => [2,1] => 0
[[0,0,1,0],[0,1,0,0],[0,0,0,1],[1,0,0,0]]
 => [3,2,4,1] => [1,2,1] => [1,1,1] => 1
[[0,1,0,0],[0,0,0,1],[0,0,1,0],[1,0,0,0]]
 => [2,4,3,1] => [2,1,1] => [1,2] => 0
[[0,0,1,0],[0,1,-1,1],[0,0,1,0],[1,0,0,0]]
 => [2,4,3,1] => [2,1,1] => [1,2] => 0
[[0,0,0,1],[0,1,0,0],[0,0,1,0],[1,0,0,0]]
 => [4,2,3,1] => [1,2,1] => [1,1,1] => 1
[[0,0,1,0],[0,0,0,1],[0,1,0,0],[1,0,0,0]]
 => [3,4,2,1] => [2,1,1] => [1,2] => 0
[[0,0,0,1],[0,0,1,0],[0,1,0,0],[1,0,0,0]]
 => [4,3,2,1] => [1,1,1,1] => [4] => 1
[[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1]]
 => [3,2,1,4,5] => [1,1,3] => [2,1] => 0
[[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1]]
 => [2,1,4,3,5] => [1,2,2] => [1,2] => 0
[[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]]
 => [2,1,4,3,5] => [1,2,2] => [1,2] => 0
[[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]]
 => [2,1,4,3,5] => [1,2,2] => [1,2] => 0
[[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]]
 => [2,1,4,3,5] => [1,2,2] => [1,2] => 0
[[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1]]
 => [4,2,1,3,5] => [1,1,3] => [2,1] => 0
[[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1]]
 => [3,1,4,2,5] => [1,2,2] => [1,2] => 0
[[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,0,0,1]]
 => [3,1,4,2,5] => [1,2,2] => [1,2] => 0
[[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]
 => [1,4,3,2,5] => [2,1,2] => [1,1,1] => 1
[[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]
 => [1,4,3,2,5] => [2,1,2] => [1,1,1] => 1
[[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]
 => [1,4,3,2,5] => [2,1,2] => [1,1,1] => 1
[[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]
 => [4,1,3,2,5] => [1,2,2] => [1,2] => 0
[[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]
 => [1,4,3,2,5] => [2,1,2] => [1,1,1] => 1
[[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]
 => [1,4,3,2,5] => [2,1,2] => [1,1,1] => 1
[[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]
 => [4,1,3,2,5] => [1,2,2] => [1,2] => 0
[[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1]]
 => [4,3,1,2,5] => [1,1,3] => [2,1] => 0
[[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1]]
 => [3,2,4,1,5] => [1,2,2] => [1,2] => 0
[[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1]]
 => [2,4,3,1,5] => [2,1,2] => [1,1,1] => 1
[[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1]]
 => [2,4,3,1,5] => [2,1,2] => [1,1,1] => 1
[[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1]]
 => [4,2,3,1,5] => [1,2,2] => [1,2] => 0
[[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1]]
 => [3,4,2,1,5] => [2,1,2] => [1,1,1] => 1
[[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1]]
 => [4,3,2,1,5] => [1,1,1,2] => [3,1] => 0
[[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0]]
 => [2,1,3,5,4] => [1,3,1] => [1,1,1] => 1
[[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]]
 => [1,3,2,5,4] => [2,2,1] => [2,1] => 0
[[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]]
 => [1,3,2,5,4] => [2,2,1] => [2,1] => 0
[[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]]
 => [3,1,2,5,4] => [1,3,1] => [1,1,1] => 1
[[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0]]
 => [2,3,1,5,4] => [2,2,1] => [2,1] => 0
Description
The coefficient of the integer composition in the quasisymmetric expansion of the relabelling action of the symmetric group on cycles.