I have a list of polynomials in Sage as follows:
n=5
W=[P.coxeter_polynomial() for P in posets(n)]
Now I want to have the list of all such polynomials as polynomials in R.<x> = PolynomialRing(ComplexField(100)) . Is there an easy way to translate the above list W so that Sage views every polynomial in that list as a polynomial in R.<x> = PolynomialRing(ComplexField(100)).