I meant sage: F.<a> = GF(2) ....: K.<x> = FunctionField(F) ....: R.<Y> = PolynomialRing(K) ....: L.<y> = K.extension(Y^4 + Y - x^5) sage: g = L.get_place(2) sage: g Place (x, y^2 + y + 1) sage: g.prime_ideal().gens() (x, y^2 + y + 1) sage: O = L.maximal_order() sage: h = O.ideal((x, y^2 + y + 1)).place() # reconstruct the place from the generators sage: g == h True
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