Am 2014-08-29 um 21:25 schrieb Daniel Krenn:
> I want to solve polynomial equations and in order to do so, I do
> something like:
>
> sage: R.<x,y> = PolynomialRing(QQ, order='lex')
> sage: I = R.ideal([x*y-1, x^2-y^2])
> sage: I.groebner_basis()
> [x - y^3, y^4 - 1]
Meanwhile, I found, which seems to do what I want:
sage: I.variety()
[{y: -1, x: -1}, {y: 1, x: 1}]
sage: I.variety(ring=QQbar)
[{y: -1, x: -1}, {y: -1*I, x: 1*I}, {y: 1*I, x: -1*I}, {y: 1, x: 1}]
sage: I.variety(ring=ZZ)
[{y: -1, x: -1}, {y: 1, x: 1}]
Daniel
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