I wonder if we can figure out why I was getting slower times for
the experiment I did.

> - Multiplication cannot be handled using CFM. But inside the methods
> providing those, one can still get a speed up for addition by using
> F.sum( iter ) or F.linear_combination( iter ) rather than sum( iter )
> in the definition of the product of two elements of F.

Thus (if I understand you) rewriting the product_by_generator_on_basis
method in
iwahori_hecke_algebra.py might help.

Dan

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