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Complex Equation Numerical Solver Beta

Solve f(z)=0 over ℂ. Use variable z. Examples: z^2+4, exp(z)-z, z^32-2^z.
Tips: Provide f'(z) when you can. Increase grid to find more roots; expand ranges for large-magnitude solutions. For z^32-2^z, include 256 on the real axis to catch the exact root.