Hi all
Suppose I have an positive integer parameter  't', and a polynomial
Delta(t) , which is a polynomial in 't' with coefficients being
integers. Assume we also know that Delta(t) > 0.
There is another polynomial with integer coefficients , say F(t).
Consider an expression

[x(t)]^3 = F(t) + i * sqrt ( D(t) )

( i being the square root of -1)

Given a concrete value for t, I could always find the cube-roots. But
is there a method in Sage, which gives me x(t) as a function of t.

In case the question is ill-posed, I'd also be happy if there are
methods which give approximations to the cube roots in terms of t

Thanks

Regards

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