hello:

I want to make a field, such as Q(2^(1/3), 2^(1/3)i), where Q is
Rationals, and i^2=-1.

I am fail to describe 2^(1/3) and 2^(1/3) i.  2^(1/3) does not work.

i is E(4), and  Q(2^(1/3))=Q[x]/(x^3-2), but how to describe 2^(1/3)i
? Can gap help me to find out the minimal polynomial of 2^(1/3) i ?

thanks.

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