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### Absolute number field extension

Hi there,

I am working with the following absolute field extension of a quadratic field K.(a)=NumberField(x^2-d), for some integer 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.

 2 None slelievre 17654 ●22 ●160 ●348 http://carva.org/samue...

### Absolute number field extension

Hi there,

I am working with the following absolute field extension extension of a quadratic field K.(a)=NumberField(x^2-d), K.(a) = NumberField(x^2-d), for some integer d: R.<x> = PolynomialRing(K)d:

g=x^2+x+1

R.<x> = PolynomialRing(K)
g = x^2 + x + 1
KL.(b) = K.extension(g) f=KL.absolute_polynomial() L.(c)=NumberField(f)K.extension(g)
f = KL.absolute_polynomial()
L.(c) = NumberField(f)


I need to keep track of the element "b" b inside L L and I don't know how. Any help is much appreciated.

 3 None slelievre 17654 ●22 ●160 ●348 http://carva.org/samue...

### Absolute number field extension

Hi there,

I am working with the following absolute field extension of a quadratic field K.(a) = NumberField(x^2-d), for some integer d: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.