Martin Rubey wrote:
> 
> Waldek Hebisch <[EMAIL PROTECTED]> writes:
> 
> > 2) I think we have all tools to do actual computations: we can factorise
> >    in algebraic extensions, so we can verify irreducibility assumptions.
> >    We have functions to compute primitive elements.
> 
> I was unable to use the latter.  Do you think you could compute the example I
> gave with FriCAS?
> 

Is te following what you want?

pol1 := x^2+1
pol2 := z^3-2
primrec := primitiveElement([pol1, pol2], [x, z])$PrimitiveElement(Fraction 
Integer)
Ae := SAE(Fraction(Integer), SparseUnivariatePolynomial(Fraction(Integer)), 
primrec.prim)
(primrec.poly.1::Ae)^2
(primrec.poly.2::Ae)^3

-- 
                              Waldek Hebisch
[EMAIL PROTECTED] 

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