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Statistic identifier: St000960

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Collection: Finite Cartan types

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Description: The permanent of the Cartan matrix of a finite Cartan type.

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References: 

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Code:
def statistic(ct):
    return ct.cartan_matrix().permanent()


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Statistic values:

['A',1]  => 2
['A',2]  => 5
['B',2]  => 6
['G',2]  => 7
['A',3]  => 12
['B',3]  => 14
['C',3]  => 14
['A',4]  => 29
['B',4]  => 34
['C',4]  => 34
['D',4]  => 28
['F',4]  => 33
['A',5]  => 70
['B',5]  => 82
['C',5]  => 82
['D',5]  => 68
['A',6]  => 169
['B',6]  => 198
['C',6]  => 198
['D',6]  => 164
['E',6]  => 165
['A',7]  => 408
['B',7]  => 478
['C',7]  => 478
['D',7]  => 396
['E',7]  => 398
['A',8]  => 985
['B',8]  => 1154
['C',8]  => 1154
['D',8]  => 956
['E',8]  => 961
['A',9]  => 2378
['B',9]  => 2786
['C',9]  => 2786
['D',9]  => 2308
['A',10] => 5741
['B',10] => 6726
['C',10] => 6726
['D',10] => 5572

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Created: Aug 28, 2017 at 16:53 by Christian Stump

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Last Updated: Aug 28, 2017 at 16:53 by Christian Stump