Quintic Coronet

Newton's method with complex relaxation m = 1 - 0.2i applied to f(z) = z^5 - (3 + 2i)z^3 + (1 - 4i)z - 2i, whose constant term removes every symmetry. The multiplier at each of the five simple roots is 0.2i, so convergence is linear at rate 1/5 with a quarter turn per step, and the level sets of the smooth count are the tight spirals grained into the gold. The frame sits on the chain of basin components accumulating at the Newton pole 1.4815 + 0.5087i, where two basins alternate down the chain.