MinimalPolynomial

MinimalPolynomial[s,x] gives the minimal polynomial in x for which the algebraic number s is a root. 

MinimalPolynomial[u,x] gives the minimal polynomial of the finite field element u over p.

MinimalPolynomial[u,x,k] gives the minimal polynomial of u over the pk-element subfield of the ambient field of u.

MinimalPolynomial[u,x,emb] gives the minimal polynomial of u relative to the finite field embedding emb.

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