> On Jul 21, 2026, at 10:39 PM, Peter McGoron <xxxxxx@mcgoron.com> wrote:
>
>> To answer your question directly, the Gambit routine for (expt x y) returns results that might have an exact nonzero real or imaginary part
> and an inexact nonzero real or imaginary part in the special case when x
> is negative and y is a fraction with denominator 3 or 6.
> Thank you for the example. I'll look more into it. I assume it's this
> behavior?
>
>    (expt -1 1/3) => 1/2+.8660254037844386i

Yes.

 > (expt -1 1/3)
 1/2+.8660254037844386i
 > (expt -8/27 2/3)
 -2/9+.38490017945975047i

Brad