For +Hugh S. Myers and +Roger Bagula, a RRRing's with a negative power of two wrt:

https://plus.google.com/101799841244447089430/posts/4n95BrNaJh6

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ct_complex temp = { std::abs(z), 0 };
z = std::pow(z, -2) + temp / (1 + std::abs(z));
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Still using zero as the imaginary part of temp, but its still pretty nice ans symmetrical.

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