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Identifier
Values
['A',1] => 2
['A',2] => 6
['B',2] => 4
['G',2] => 6
['A',3] => 8
['B',3] => 6
['C',3] => 6
['A',4] => 10
['B',4] => 8
['C',4] => 8
['D',4] => 6
['F',4] => 12
['A',5] => 12
['B',5] => 10
['C',5] => 10
['D',5] => 16
['A',6] => 14
['B',6] => 12
['C',6] => 12
['D',6] => 10
['E',6] => 24
['A',7] => 16
['B',7] => 14
['C',7] => 14
['D',7] => 24
['E',7] => 18
['A',8] => 18
['B',8] => 16
['C',8] => 16
['D',8] => 14
['E',8] => 30
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Description
The order of rowmotion on the root poset of a finite Cartan type.
Code
def statistic(ct):
    return lcm(len(o) for o in ct.root_system().root_poset().rowmotion_orbits())
Created
Jan 06, 2023 at 19:30 by Martin Rubey
Updated
Jan 06, 2023 at 19:30 by Martin Rubey