>
> This is interesting.  One thing we discovered with Maple, which I think 
> is known by others, is that when degree drops occur in the modular 
> computations, you can stop F4 and output the new polynomials that have 
> lower than expected degree, together with a flag saying the computation is 
> incomplete.  An outer loop computing over Q can focus on reconstructing 
> those polynomials, which also tend to be small, before restarting with them 
> in the generating set.  This strategy was effective for cyclic-n, however, 
> we found other systems where the degree fluctuates rapidly over hundreds of 
> steps.
>


On Friday, March 29, 2019 at 4:56:41 AM UTC-7, parisse wrote:
>
> Thanks to W. Stein, I could run Giac on cocalc server during the last 3 
> months, improve the Groebner basis source code, and eventually I could 
> solve the huge cyclic10 benchmark on Q : 2225 primes were required for 
> Chinese remaindering, 217G of memory, and more than 200 sequential days 
> computation (10 days real time).
> For more details, see this report 
> <https://hal.archives-ouvertes.fr/hal-02081648>
> Giac source code: 
> https://www-fourier.ujf-grenoble.fr/~parisse/debian/dists/stable/main/source/giac_1.5.0-49.tar.gz
>

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