### Translating a list of polynomials using sage

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)) ~~PolynomialRing(ComplexField(100))

.

My question is:
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))?~~PolynomialRing(ComplexField(100))

?