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I have a list L, and would like to construct all polynomials of degree d, with coefficients from the list. An example is the following :

SET=[]; K.=FiniteField(17); F.<x> = PolynomialRing(K,'x'); for f in F.monics( of_degree=8): S=f.coefficients(sparse=False); if S==([K(1),K(16)]): SET=SET+[f]; print SET;

I have a list L, and would like to construct all polynomials of degree d, with coefficients from the list. An example is the following :

SET=[];
K.=FiniteField(17);
K.<a>=FiniteField(17);
F.<x> = PolynomialRing(K,'x');
for f in F.monics( of_degree=8):
    S=f.coefficients(sparse=False);
    if S==([K(1),K(16)]):
        SET=SET+[f];
print SET;
SET;