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resultant and gcd over real ?

The resultant and gcd works well over rational but not real or complex !

R.<x,y>=PolynomialRing(RR,2) a=x^2+y b=x-y^2 a.resultant(b) a.gcd(b) this does not worl where with QQ, it works

anyone has a idea ?

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resultant and gcd over real ?

The resultant and gcd works work well over rational but not over real or complex !complex!

R.<x,y>=PolynomialRing(RR,2) a=x^2+y b=x-y^2

R.<x,y> = PolynomialRing(RR,2)
a = x^2 + y
b = x - y^2
a.resultant(b)
a.gcd(b)
this 

This does not worl where work while with QQ, it works

anyone works. Anyone has a idea ?an idea?