poincareSeries -- a generating series for number of elements in a Weyl group

Ways to use poincareSeries :

• poincareSeries(HasseDiagram,RingElement) -- the generating series of a Hasse diagram
• poincareSeries(RootSystem,Parabolic,RingElement) -- the generating series of a quotient of the Weyl group by length
• poincareSeries(RootSystem,RingElement) -- the generating series of the Weyl group by length

For the programmer

The object poincareSeries is a method function.