On Saturday, March 21, 2015 at 3:40:07 AM UTC+2, Luv Agarwal wrote:
>
> I have added the implementation details of few functions in the draft 
> <https://github.com/sympy/sympy/wiki/GSoC-2015-Application-Luv-Agarwal:-Cylindrical-Algebraic-Decomposition>
> .
>
> How  can I implement refine_root (and dup_isolate_real_roots_sqf) for 
> polynomials over algebraic numbers?
>

One would need a method for determining the sign of an algebraic number. 
Those in AlgebraicField (is_positive,
is_negative, ...) are not suitable for this purpose. 

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