I missed the complex number unit in high school, so I won't comment on that (if anyone has good reading material for me, feel free to suggest). But the fact that you used Floyd's cycle-finding algorithm instead of Brent's, without giving justification why Brent's algorithm wouldn't work here (I think it would), implies that you haven't done enough research into modern (read: post-1980) rho implementations, which makes it a little hard to take you seriously.
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