There seems to be a bug in the implementation of the coercion from 
universal cyclotomic field.  The rational part disappears when converting.
For example:

   F.<c>=CyclotomicField(4)
   F(-1/2 + 1/2*E(4))

1/2*c^2


Reading the code:
            from sage.rings.number_field.number_field import CyclotomicField
            k = self._obj.Conductor().sage()
            Rcan = CyclotomicField(k)
            if R is None:
                R = Rcan
            obj = self._obj
            if obj.IsRat():
                return R(obj.sage())
            zeta = Rcan.gen()
            coeffs = obj.CoeffsCyc(k).sage()
            return R(sum(coeffs[a] * zeta**a for a in range(1,k)))

I believe the problem is in the range(1,k) which should be range(0,k)

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