Your data matches 4 different statistics following compositions of up to 3 maps.
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Matching statistic: St001157
Mapping
St001157: Finite Cartan types ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
['A',1]
 => 2
['A',2]
 => 6
['B',2]
 => 4
['G',2]
 => 6
Description
The exponent of the Weyl group of given type. This is the least common multiple of the orders of the elements of the group. In a comment to [4], see also [5], it is asked whether this is the same as the least common multiple of the degrees of the Weyl group.
Matching statistic: St001887
Mapping
St001887: Finite Cartan types ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
['A',1]
 => 2
['A',2]
 => 6
['B',2]
 => 4
['G',2]
 => 6
Description
The order of rowmotion on the root poset of a finite Cartan type.
Matching statistic: St001782
(load all 2 compositions to match this statistic)
Mapping
Mp00148: Finite Cartan types —to root poset⟶ Posets
St001782: Posets ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
['A',1]
 => ([],1)
 => 2
['A',2]
 => ([(0,2),(1,2)],3)
 => 6
['B',2]
 => ([(0,3),(1,3),(3,2)],4)
 => 4
['G',2]
 => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
 => 6
Description
The order of rowmotion on the set of order ideals of a poset.
Matching statistic: St000668
Mapping
Mp00148: Finite Cartan types —to root poset⟶ Posets
Mp00306: Posets —rowmotion cycle type⟶ Integer partitions
St000668: Integer partitions ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
['A',1]
 => ([],1)
 => [2]
 => 2
['A',2]
 => ([(0,2),(1,2)],3)
 => [3,2]
 => 6
['B',2]
 => ([(0,3),(1,3),(3,2)],4)
 => [4,2]
 => 4
['G',2]
 => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
 => [6,2]
 => 6
Description
The least common multiple of the parts of the partition.