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Factorize a polynomial with coefficients in a Galois field : factor

factor can also factorize a univariate polynomial with coefficients in a Galois field.
Input for example to have G= $ \mathbb {F}$4:
G:=GF(2,2,['w','G'])
Output :
GF(2,w^2+w+1,[w,G],undef)
Input for example :
a:=G(w)
factor(a^2*x^2+1))
Output :
(G(w+1))*(x+G(w+1))^2



giac documentation written by Renée De Graeve and Bernard Parisse