Hello!

       I have a polynomial P, let's say P = x^3 - 139656*x^2 -
59208339456*x - 1467625047588864.

       K.<a> = NumberField(P)

       Clearly a.charpoly() gives me P. I want to know if there is a
way to express the other two roots of P, besides a, as a polynomial
with rational coefficients in a. I can write the K.integral_basis()
and try to solve an equation but then again P.roots(ring=K) gives
little help since it returns only "[(a, 1)]" and a.galois_conjugates()
again gives only "a".

Eduard

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