On 17 April 2014 01:55, Irene <[email protected]> wrote:
> Hello!
>
> I want to define a polynomial that I know lies in GF(p^2,'b')[x], p=3700001.
> The problem is that I have to define it as a product
> E=(X-a_1)*(X-a_2)*(X-a_3)*(X-a_4)*(X-a_5)*(X-a_6), where every a_j is in
> GF(p^13,'a')[X].
> I tried to do GF(p^2,'b')[x](E), but then Sage just changes the generator
> 'a' and writes the same expression with the generator 'b'.
> Any idea about how to do this?
> Thank you!!

Did you write that correctly?  GF(p^13) is not an extension of
GF(p^2).  If a1 is in GF(p^13) then a1.minpoly() will give its min
poly, in GF(p)[x].

John Cremona

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