# Absolute number field extension

Hi there,

I am working with the following absolute field extension of a quadratic field.

```
d = # some integer
K.(a) = NumberField(x^2-d)
R.<x> = PolynomialRing(K)
g = x^2 + x + 1
KL.(b) = K.extension(g)
f = KL.absolute_polynomial()
L.(c) = NumberField(f)
```

I need to keep track of the element `b`

inside `L`

and I don't know how. Any help is much appreciated.