Is there a way to change the generators used in the internal
representation of the unit group of a number field?  I am currently
doing this by hand in an ad-hoc manner and it is very tedious, not to
mention prone to mistakes.  To be concrete, consider the following:

sage: CyclotomicField(5).unit_group().gens()

[-zeta5, zeta5^3 + zeta5]

I would rather the fundamental unit be real (so multiplied by zeta3),
so that it is

-zeta5^3 - zeta5^2 - 1

In particular, it needs to work with .log and .exp, and I need to be
able to act on the group elements with field automorphisms.  In case
it matters, I am using Sage 4.3.0.

Thanks,
Jon


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