Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St001632
Mapping
Mp00255: Decorated permutations —lower permutation⟶ Permutations
Mp00069: Permutations —complement⟶ Permutations
Mp00065: Permutations —permutation poset⟶ Posets
St001632: Posets ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[-,+] => [2,1] => [1,2] => ([(0,1)],2)
 => 1
[-,+,+] => [2,3,1] => [2,1,3] => ([(0,2),(1,2)],3)
 => 1
[-,-,+] => [3,1,2] => [1,3,2] => ([(0,1),(0,2)],3)
 => 2
[-,+,+,+] => [2,3,4,1] => [3,2,1,4] => ([(0,3),(1,3),(2,3)],4)
 => 0
[-,-,+,+] => [3,4,1,2] => [2,1,4,3] => ([(0,2),(0,3),(1,2),(1,3)],4)
 => 0
[-,+,-,+] => [2,4,1,3] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
 => 0
[-,-,-,+] => [4,1,2,3] => [1,4,3,2] => ([(0,1),(0,2),(0,3)],4)
 => 0
[-,3,2,+] => [2,4,1,3] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
 => 0
[4,-,+,1] => [3,1,4,2] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
 => 0
[-,+,+,+,+] => [2,3,4,5,1] => [4,3,2,1,5] => ([(0,4),(1,4),(2,4),(3,4)],5)
 => 0
[-,-,+,+,+] => [3,4,5,1,2] => [3,2,1,5,4] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
 => 0
[-,+,-,+,+] => [2,4,5,1,3] => [4,2,1,5,3] => ([(0,4),(1,3),(1,4),(2,3),(2,4)],5)
 => 0
[-,+,+,-,+] => [2,3,5,1,4] => [4,3,1,5,2] => ([(0,4),(1,4),(2,3),(2,4)],5)
 => 0
[-,-,-,+,+] => [4,5,1,2,3] => [2,1,5,4,3] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)
 => 0
[-,-,+,-,+] => [3,5,1,2,4] => [3,1,5,4,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4)],5)
 => 0
[-,+,-,-,+] => [2,5,1,3,4] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
 => 0
[-,-,-,-,+] => [5,1,2,3,4] => [1,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4)],5)
 => 0
[-,+,4,3,+] => [2,3,5,1,4] => [4,3,1,5,2] => ([(0,4),(1,4),(2,3),(2,4)],5)
 => 0
[-,-,4,3,+] => [3,5,1,2,4] => [3,1,5,4,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4)],5)
 => 0
[-,3,2,+,+] => [2,4,5,1,3] => [4,2,1,5,3] => ([(0,4),(1,3),(1,4),(2,3),(2,4)],5)
 => 0
[-,3,2,-,+] => [2,5,1,3,4] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
 => 0
[-,3,4,2,+] => [2,5,1,3,4] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
 => 0
[-,4,2,3,+] => [2,3,5,1,4] => [4,3,1,5,2] => ([(0,4),(1,4),(2,3),(2,4)],5)
 => 0
[-,4,+,2,+] => [3,2,5,1,4] => [3,4,1,5,2] => ([(0,3),(1,2),(1,4),(3,4)],5)
 => 1
[-,4,-,2,+] => [2,5,1,4,3] => [4,1,5,2,3] => ([(0,4),(1,2),(1,4),(2,3)],5)
 => 0
[-,5,-,2,4] => [2,4,1,5,3] => [4,2,5,1,3] => ([(0,4),(1,3),(2,3),(2,4)],5)
 => 0
[-,5,-,+,2] => [4,2,1,5,3] => [2,4,5,1,3] => ([(0,4),(1,2),(1,4),(2,3)],5)
 => 0
[2,4,+,1,+] => [3,1,5,2,4] => [3,5,1,4,2] => ([(0,3),(0,4),(1,2),(1,4)],5)
 => 0
[2,5,-,+,1] => [4,1,2,5,3] => [2,5,4,1,3] => ([(0,4),(1,2),(1,3),(1,4)],5)
 => 0
[4,-,+,1,+] => [3,1,5,4,2] => [3,5,1,2,4] => ([(0,3),(1,2),(1,4),(3,4)],5)
 => 1
[5,-,+,1,4] => [3,1,4,5,2] => [3,5,2,1,4] => ([(0,4),(1,4),(2,3),(2,4)],5)
 => 0
[5,-,+,+,1] => [3,4,1,5,2] => [3,2,5,1,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4)],5)
 => 0
[5,+,-,+,1] => [2,4,1,5,3] => [4,2,5,1,3] => ([(0,4),(1,3),(2,3),(2,4)],5)
 => 0
[5,-,-,+,1] => [4,1,5,2,3] => [2,5,1,4,3] => ([(0,3),(0,4),(1,2),(1,3),(1,4)],5)
 => 0
[5,-,+,-,1] => [3,1,5,2,4] => [3,5,1,4,2] => ([(0,3),(0,4),(1,2),(1,4)],5)
 => 0
[5,-,4,3,1] => [3,1,5,2,4] => [3,5,1,4,2] => ([(0,3),(0,4),(1,2),(1,4)],5)
 => 0
[5,3,2,+,1] => [2,4,1,5,3] => [4,2,5,1,3] => ([(0,4),(1,3),(2,3),(2,4)],5)
 => 0
[-,+,+,+,+,+] => [2,3,4,5,6,1] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
 => 0
[-,-,+,+,+,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
 => 0
[-,+,-,+,+,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
 => 0
[-,+,+,-,+,+] => [2,3,5,6,1,4] => [5,4,2,1,6,3] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
 => 0
[-,+,+,+,-,+] => [2,3,4,6,1,5] => [5,4,3,1,6,2] => ([(0,5),(1,5),(2,5),(3,4),(3,5)],6)
 => 0
[-,-,-,+,+,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
 => 0
[-,-,+,-,+,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
 => 0
[-,-,+,+,-,+] => [3,4,6,1,2,5] => [4,3,1,6,5,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
 => 0
[-,+,-,-,+,+] => [2,5,6,1,3,4] => [5,2,1,6,4,3] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
 => 0
[-,+,-,+,-,+] => [2,4,6,1,3,5] => [5,3,1,6,4,2] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
 => 0
[-,+,+,-,-,+] => [2,3,6,1,4,5] => [5,4,1,6,3,2] => ([(0,5),(1,5),(2,3),(2,4),(2,5)],6)
 => 0
[-,-,-,-,+,+] => [5,6,1,2,3,4] => [2,1,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)
 => 0
[-,-,-,+,-,+] => [4,6,1,2,3,5] => [3,1,6,5,4,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)
 => 0
Description
The number of indecomposable injective modules $I$ with $dim Ext^1(I,A)=1$ for the incidence algebra A of a poset.