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?

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