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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