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Comment by azerbajdzan for In turns out that these equation systems can be...

@Emmanuel Charpentier, @rburing: I think I know why Mathematica computes it in a second while Sage in more than a minute. Mathematica computes Groebner basis in a more clever way, that there are...

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Comment by rburing for In turns out that these equation systems can be solved...

The solutions returned by `solve` seem to be numerical approximations. I tried to find a way to solve over `RIF` or `RBF` but I didn't manage. Anyway, to decide for certain that an approximate solution...

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Answer by Emmanuel Charpentier for I want to solve a system of polynomial...

In turns out that these equation systems can be solved more quickly in SR than in the relevant polynomial ring over QQ: sage: reset() sage: %cpaste Pasting code; enter '--' alone on the line to stop or...

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Comment by azerbajdzan for I want to solve a system of polynomial equations...

@Emmanuel Charpentier: Reduce[*the system*,Rationals]

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Comment by Emmanuel Charpentier for I want to solve a system of polynomial...

**How** do you "solve" this with Mathematica ?

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Comment by rburing for I want to solve a system of polynomial equations but I...

Please add the system. Otherwise we have to make guesses and assumptions which may not apply to your case.

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Comment by azerbajdzan for I want to solve a system of polynomial equations...

@rburing: I added an example of the system.

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Solving system of polynomial equations over rationals

I want to solve a system of polynomial equations but I need only rational solutions. What is the best method to do it in Sage? For example: Input: R. = QQ[] J = R.ideal(5*(9 + 2*a1^2 - b2), 5*(-324 +...

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