Thank you for your detailed explaination.

On 2018-10-25 11:09, John Cremona wrote:
> Personally I cannot think of a reason why one would want this abs() to
> be returned as an algebraic number, since the whole point of absolute
> values in algebraic number theory is that they like in some completion
> (RR, CC, Qp or an extension of Qp).  One could try to special-case
> cyclotomic fields -- which makes sense *only* because they have an
> automorphism of order 2 which can be identified with complex conjugation
> -- but a function whose return values had a parent which depended on the
> input would surely not be useful.

What my troubles are, is that by using abs my computation gets inexact,
which I want to avoid at all cost.
(So I think I just have to treat CyclotomicFields etc. special)

Daniel

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