Cos Z2 Moonstone

Newton's method applied to f(z) = 1 - cos(z^2), with the step written as tan(z^2 / 2) / (2z) so nothing overflows. Every root on the rings is double and the origin is quadruple, so the smooth count is rescaled by the contraction rates 1/4 and 81/256. The identity N(iz) = i N(z) gives the frame exact fourfold symmetry about the origin at width 9. The raw count carries a large analytic ramp in |Im z^2| which is detrended out, leaving the spikes that sit on the basin lace.