On Monday, March 20, 2017 at 5:49:24 AM UTC-7, Jeroen Demeyer wrote:
>
> I believe that this is simply https://trac.sagemath.org/ticket/15600 
>
> The variable d lies in a number field of degree 32, which is rather big 
> to call polredbest() on. 
>
If the sage implementation ends up doing this then that's a good indication 
that the approach described in:

Allan K. Steel, Computing with algebraically closed fields, Journal of Symbolic 
Computation, Volume 45, Issue 3, March 2010, Pages 342-372, ISSN 0747-7171, 
http://dx.doi.org/10.1016/j.jsc.2009.09.005.

would really be much better. It would avoid any number field computations.
If an embedding in CC or RR is required, it could be tracked with just 
numerical information.
One would use finite fields to track identity.
If there's such a use for QQbar, it might be interesting to run a project in 
that direction.

 

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