> I tried to do some computations with the existing Iwahori-Hecke
> algebra module inside sage earlier this year. I needed to work over
> the rational function field C(x), for an indeterminate x. In the end I
> gave up and went back to using some gap3 code that I have, which
> builds on chevie, because it was unbelievably slow. As polynomials
> (and rational functions?) are supposed to be fast in sage I put the
> slowness down to the implementation of permutations inside sage, but I
> didn't do any profiling so perhaps this is unfair.

If it's possible to make the base ring a LaurentPolynomialRing that
may be more efficient than making it a rational function field.
Presumably whether you can do this depends on whether you
encounter denominators that are not powers of x.

Dan



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