PoincarePolynomialMaximalCoefficient on CartanType
The largest coefficient of the Poincaré polynomial ∏ [d]_q of the Weyl group.
Called as CombinatorialStat(x, "PoincarePolynomialMaximalCoefficient"). The head's page has its examples.
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FindStat St001443
The largest coefficient in the Poincaré polynomial of the Weyl group of given Cartan type.
| Object | Value |
|---|---|
['A',1] | 1 |
['A',2] | 2 |
['A',3] | 6 |
['A',4] | 22 |
['A',5] | 101 |
['A',6] | 573 |
['A',7] | 3836 |
['A',8] | 29228 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001443 has the rest.