Bill Daly on Sat, 07 Feb 2009 01:40:50 +0100

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Can PARI do this?

Suppose I have two algebraic numbers r and s which generate distinct fields Q(r) and Q(s), with r in the form Mod(r,f(r)) for some polynomial f over Q, and s in the form Mod(s,g(s)) for some distinct polynomial g over Q which is coprime to f. Is there a simple way in PARI to find a quantity t in the form Mod(t,h(t)) such that r and s are rational functions of t and h is in Q? Will bezout() do this?

Regards, Bill