Your data matches 2 different statistics following compositions of up to 3 maps.
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Matching statistic: St001155
Mapping
St001155: Finite Cartan types ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
['A',1]
 => 2
['A',2]
 => 4
['B',2]
 => 8
['G',2]
 => 10
['A',3]
 => 11
['B',3]
 => 33
['C',3]
 => 33
['A',4]
 => 19
['B',4]
 => 193
['C',4]
 => 193
['D',4]
 => 98
['F',4]
 => 246
['A',5]
 => 56
['B',5]
 => 953
['C',5]
 => 953
['D',5]
 => 197
['A',6]
 => 96
['B',6]
 => 7440
['C',6]
 => 7440
['D',6]
 => 1916
['E',6]
 => 350
['A',7]
 => 296
['A',8]
 => 554
Description
The number of conjugacy classes of subgroups of the Weyl group of given type.
Matching statistic: St001879
Mapping
Mp00148: Finite Cartan types —to root poset⟶ Posets
Mp00205: Posets —maximal antichains⟶ Lattices
Mp00193: Lattices —to poset⟶ Posets
St001879: Posets ⟶ ℤResult quality: 13% ●values known / values provided: 13%●distinct values known / distinct values provided: 16%
Values
['A',1]
 => ([],1)
 => ([],1)
 => ([],1)
 => ? = 2 - 6
['A',2]
 => ([(0,2),(1,2)],3)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ? = 4 - 6
['B',2]
 => ([(0,3),(1,3),(3,2)],4)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => 2 = 8 - 6
['G',2]
 => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
 => ([(0,4),(2,3),(3,1),(4,2)],5)
 => ([(0,4),(2,3),(3,1),(4,2)],5)
 => 4 = 10 - 6
['A',3]
 => ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => 5 = 11 - 6
['B',3]
 => ([(0,7),(1,8),(2,7),(2,8),(4,5),(5,3),(6,5),(7,6),(8,4),(8,6)],9)
 => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9)
 => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9)
 => ? = 33 - 6
['C',3]
 => ([(0,7),(1,8),(2,7),(2,8),(4,5),(5,3),(6,5),(7,6),(8,4),(8,6)],9)
 => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9)
 => ([(0,3),(0,6),(1,8),(3,7),(4,2),(5,4),(6,1),(6,7),(7,8),(8,5)],9)
 => ? = 33 - 6
['A',4]
 => ([(0,8),(1,7),(2,7),(2,9),(3,8),(3,9),(5,4),(6,4),(7,5),(8,6),(9,5),(9,6)],10)
 => ([(0,4),(0,5),(0,6),(2,9),(3,8),(4,10),(5,11),(6,10),(6,11),(7,8),(7,9),(8,12),(9,12),(10,3),(10,7),(11,2),(11,7),(12,1)],13)
 => ([(0,4),(0,5),(0,6),(2,9),(3,8),(4,10),(5,11),(6,10),(6,11),(7,8),(7,9),(8,12),(9,12),(10,3),(10,7),(11,2),(11,7),(12,1)],13)
 => ? = 19 - 6
['B',4]
 => ([(0,13),(1,12),(2,13),(2,15),(3,12),(3,15),(5,11),(6,7),(7,4),(8,9),(9,10),(10,7),(11,6),(11,10),(12,8),(13,5),(13,14),(14,9),(14,11),(15,8),(15,14)],16)
 => ?
 => ?
 => ? = 193 - 6
['C',4]
 => ([(0,13),(1,12),(2,13),(2,15),(3,12),(3,15),(5,11),(6,7),(7,4),(8,9),(9,10),(10,7),(11,6),(11,10),(12,8),(13,5),(13,14),(14,9),(14,11),(15,8),(15,14)],16)
 => ?
 => ?
 => ? = 193 - 6
['D',4]
 => ([(0,10),(1,9),(2,8),(3,8),(3,9),(3,10),(5,11),(6,11),(7,11),(8,5),(8,6),(9,5),(9,7),(10,6),(10,7),(11,4)],12)
 => ([(0,5),(0,6),(0,7),(2,11),(3,10),(4,9),(5,12),(5,13),(6,12),(6,14),(7,13),(7,14),(8,1),(9,16),(10,16),(11,16),(12,4),(12,15),(13,3),(13,15),(14,2),(14,15),(15,9),(15,10),(15,11),(16,8)],17)
 => ([(0,5),(0,6),(0,7),(2,11),(3,10),(4,9),(5,12),(5,13),(6,12),(6,14),(7,13),(7,14),(8,1),(9,16),(10,16),(11,16),(12,4),(12,15),(13,3),(13,15),(14,2),(14,15),(15,9),(15,10),(15,11),(16,8)],17)
 => ? = 98 - 6
['F',4]
 => ([(0,18),(1,19),(2,18),(2,22),(3,19),(3,22),(4,6),(6,5),(7,11),(8,16),(9,17),(10,13),(10,14),(11,4),(12,23),(13,8),(13,23),(14,9),(14,23),(15,11),(16,15),(17,7),(17,15),(18,20),(19,21),(20,12),(20,13),(21,12),(21,14),(22,10),(22,20),(22,21),(23,16),(23,17)],24)
 => ?
 => ?
 => ? = 246 - 6
['A',5]
 => ([(0,11),(1,10),(2,10),(2,13),(3,11),(3,14),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,6),(13,12),(14,7),(14,12)],15)
 => ?
 => ?
 => ? = 56 - 6
['B',5]
 => ([(0,18),(1,17),(2,18),(2,24),(3,23),(3,24),(4,17),(4,23),(6,15),(7,16),(8,9),(9,5),(10,12),(11,13),(12,11),(13,14),(14,9),(15,7),(15,21),(16,8),(16,14),(17,10),(18,6),(18,19),(19,15),(19,22),(20,12),(20,22),(21,13),(21,16),(22,11),(22,21),(23,10),(23,20),(24,19),(24,20)],25)
 => ?
 => ?
 => ? = 953 - 6
['C',5]
 => ([(0,18),(1,17),(2,18),(2,24),(3,23),(3,24),(4,17),(4,23),(6,15),(7,16),(8,9),(9,5),(10,12),(11,13),(12,11),(13,14),(14,9),(15,7),(15,21),(16,8),(16,14),(17,10),(18,6),(18,19),(19,15),(19,22),(20,12),(20,22),(21,13),(21,16),(22,11),(22,21),(23,10),(23,20),(24,19),(24,20)],25)
 => ?
 => ?
 => ? = 953 - 6
['D',5]
 => ([(0,13),(1,16),(2,15),(3,13),(3,17),(4,15),(4,16),(4,17),(6,10),(7,19),(8,19),(9,18),(10,5),(11,7),(11,18),(12,8),(12,18),(13,14),(14,7),(14,8),(15,9),(15,11),(16,9),(16,12),(17,11),(17,12),(17,14),(18,6),(18,19),(19,10)],20)
 => ?
 => ?
 => ? = 197 - 6
['A',6]
 => ([(0,14),(1,13),(2,18),(2,20),(3,19),(3,20),(4,13),(4,18),(5,14),(5,19),(7,9),(8,10),(9,11),(10,12),(11,6),(12,6),(13,7),(14,8),(15,9),(15,17),(16,10),(16,17),(17,11),(17,12),(18,7),(18,15),(19,8),(19,16),(20,15),(20,16)],21)
 => ?
 => ?
 => ? = 96 - 6
['B',6]
 => ([(0,23),(1,22),(2,23),(2,34),(3,33),(3,34),(4,33),(4,35),(5,22),(5,35),(7,20),(8,19),(9,21),(10,11),(11,6),(12,16),(13,15),(14,13),(15,17),(16,14),(17,18),(18,11),(19,9),(19,27),(20,8),(20,28),(21,10),(21,18),(22,12),(23,7),(23,24),(24,20),(24,32),(25,16),(25,31),(26,31),(26,32),(27,17),(27,21),(28,19),(28,29),(29,15),(29,27),(30,13),(30,29),(31,14),(31,30),(32,28),(32,30),(33,25),(33,26),(34,24),(34,26),(35,12),(35,25)],36)
 => ?
 => ?
 => ? = 7440 - 6
['C',6]
 => ([(0,23),(1,22),(2,23),(2,34),(3,33),(3,34),(4,33),(4,35),(5,22),(5,35),(7,20),(8,19),(9,21),(10,11),(11,6),(12,16),(13,15),(14,13),(15,17),(16,14),(17,18),(18,11),(19,9),(19,27),(20,8),(20,28),(21,10),(21,18),(22,12),(23,7),(23,24),(24,20),(24,32),(25,16),(25,31),(26,31),(26,32),(27,17),(27,21),(28,19),(28,29),(29,15),(29,27),(30,13),(30,29),(31,14),(31,30),(32,28),(32,30),(33,25),(33,26),(34,24),(34,26),(35,12),(35,25)],36)
 => ?
 => ?
 => ? = 7440 - 6
['D',6]
 => ([(0,24),(1,23),(2,20),(3,22),(3,26),(4,20),(4,22),(5,23),(5,24),(5,26),(7,12),(8,19),(9,27),(10,29),(11,29),(12,6),(13,16),(13,27),(14,17),(14,27),(15,21),(16,10),(16,28),(17,11),(17,28),(18,12),(19,7),(19,18),(20,15),(21,10),(21,11),(22,15),(22,25),(23,9),(23,13),(24,9),(24,14),(25,16),(25,17),(25,21),(26,13),(26,14),(26,25),(27,8),(27,28),(28,19),(28,29),(29,18)],30)
 => ?
 => ?
 => ? = 1916 - 6
['E',6]
 => ([(0,28),(1,24),(2,23),(3,23),(3,29),(4,24),(4,30),(5,28),(5,29),(5,30),(6,7),(8,19),(9,20),(10,14),(10,15),(11,34),(12,32),(13,33),(14,8),(14,35),(15,9),(15,35),(16,6),(17,12),(17,31),(18,13),(18,31),(19,16),(20,16),(21,11),(21,32),(22,11),(22,33),(23,26),(24,27),(25,21),(25,22),(25,31),(26,12),(26,21),(27,13),(27,22),(28,17),(28,18),(29,17),(29,25),(29,26),(30,18),(30,25),(30,27),(31,10),(31,32),(31,33),(32,14),(32,34),(33,15),(33,34),(34,35),(35,19),(35,20)],36)
 => ?
 => ?
 => ? = 350 - 6
['A',7]
 => ([(0,17),(1,16),(2,26),(2,27),(3,24),(3,26),(4,25),(4,27),(5,16),(5,24),(6,17),(6,25),(8,10),(9,11),(10,12),(11,13),(12,14),(13,15),(14,7),(15,7),(16,8),(17,9),(18,21),(18,22),(19,10),(19,21),(20,11),(20,22),(21,12),(21,23),(22,13),(22,23),(23,14),(23,15),(24,8),(24,19),(25,9),(25,20),(26,18),(26,19),(27,18),(27,20)],28)
 => ?
 => ?
 => ? = 296 - 6
['A',8]
 => ([(0,20),(1,19),(2,31),(2,33),(3,32),(3,33),(4,31),(4,34),(5,32),(5,35),(6,19),(6,34),(7,20),(7,35),(9,15),(10,16),(11,17),(12,18),(13,11),(14,12),(15,13),(16,14),(17,8),(18,8),(19,9),(20,10),(21,22),(21,23),(22,11),(22,24),(23,12),(23,24),(24,17),(24,18),(25,21),(25,27),(26,21),(26,28),(27,13),(27,22),(28,14),(28,23),(29,15),(29,27),(30,16),(30,28),(31,25),(31,29),(32,26),(32,30),(33,25),(33,26),(34,9),(34,29),(35,10),(35,30)],36)
 => ?
 => ?
 => ? = 554 - 6
Description
The number of indecomposable summands of the top of the first syzygy of the dual of the regular module in the incidence algebra of the lattice.