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Rendering fractals at high zoom levels demands great arithmetic precision. Implement the same fractal using four different representations of numbers: complex64, complex128, big. Float, and big. Rat. (The latter two types are found in the math/big package. Float uses arbitrary but bounded-precision floating-point; Rat uses unbounded-precision rational numbers.) How do they compare in performance and memory usage? At what zoom levels do rendering artifacts become visible?

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