Answering part of my question: it seems that sympy and maxima have
different attitudes towards fractional powers of negative numbers, which
may be the source of the problem.
Yes. Maxima's attitude is that the square root of negative one is an
expression which might have multiple values, rather than just picking one
you hope might be consistent over branch points. (There are very long
discussions on this list about this from years ago, which I will spare you
by not linking to any of them.) I would not be surprised if that came up
here.
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