Hi,

this question is related to the thread about Groebner bases.

Are there some free-software implementations for real algebraic geometry
available somewhere ? Could Giac or Singular help with that ? Or maybe
Reduce or Macaulay2 (that are not shipped with Sage) ?

More precisely, suppose i have a polynomial system of equations over QQ,
whose dimension (as the complex variety of an ideal) is positive. But i
know that the number of *real* solutions is finite. How to list them in
Sage ? I can easily get its Groebner basis, but not its real variety.

RAGlib [1] seems to do that using Groebner bases, but it is a Maple^TM
package.

The only thing i found within Sage is qepcad, but it is not powerful
enough to return anything.

Ciao,
Thierry

[1] https://www-polsys.lip6.fr/~safey/RAGLib/

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