On 12 December 2013 12:12, Georgi Guninski <[email protected]> wrote:
> Suppose I work in QQ[sqrt(a),sqrt(b)]
> where a and b are integer non-squares.
>
> Can I change it to something isomorphic to QQ[\alpha]
> where \alpha is algebraic, i.e., work with a conventional
> NumberField with a single defining polynomial
> without extending the NumberField?
>
Is this what you want?
sage: K = QQ[sqrt(2),sqrt(3)]
sage: K.absolute_field('a')
Number Field in a with defining polynomial x^4 - 10*x^2 + 1
John
> Suspect this is impossible.
>
>
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