Difference between these images...

[scruffynerf]

See https://wbolden.github.io/complex/#%7Bz'*z'+z,0,1000%7D
And view it in 3d and and spin the resulting shape and compare to your 3d image...
(Code can be found here https://github.com/wbolden/complex )

This other image has much less of the duplication, less "lobes", and the color scheme shows that some of the lobes are rainbow, some are mono colored.

I'd really enjoy seeing your graphing in 3d but done in this manner/style.