> 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.
Unfortunately, this is not possible and, to a large extent, this is why I wanted to do these calculations. Up to some powers of x the denominators are products of cyclotomic polynomials. The example that I described was the simplest case which exhibited my problem. I actually wanted to do very similar calculations over a different ring and then take linear combinations of these idempotents and check that the coefficients in these linear combinations were invertible in a particular ring. For the elements that I described this is certainly not true, in general, but we can now prove that it is true for the elements that I care about. Even though I know that this is true, if I want to compute with these elements I still need to work over this rational function field to construct them explicitly. Andrew -- You received this message because you are subscribed to the Google Groups "sage-combinat-devel" group. To post to this group, send email to sage-combinat-devel@googlegroups.com. To unsubscribe from this group, send email to sage-combinat-devel+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/sage-combinat-devel?hl=en.
