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Identifier
Values
['A',1] => 1
['A',2] => 2
['B',2] => 2
['G',2] => 2
['A',3] => 3
['B',3] => 4
['C',3] => 4
['A',4] => 6
['B',4] => 10
['C',4] => 10
['D',4] => 10
['F',4] => 11
['A',5] => 14
['B',5] => 26
['C',5] => 26
['D',5] => 17
['A',6] => 34
['B',6] => 80
['C',6] => 80
['D',6] => 68
['E',6] => 42
['A',7] => 95
['B',7] => 246
['C',7] => 246
['D',7] => 146
['E',7] => 234
['A',8] => 280
['B',8] => 810
['C',8] => 810
['D',8] => 680
['E',8] => 844
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Description
The number of orbits of the rowmotion operator on the root poset of a finite Cartan type.
Code
def statistic(ct):
    return len(ct.root_system().root_poset().rowmotion_orbits())
Created
Jan 06, 2023 at 19:24 by Martin Rubey
Updated
Jan 06, 2023 at 19:24 by Martin Rubey