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z* = re^-iθ
so 1/z* = 1/r e^iθ = z/r^2
or, since zz* = r^2,
1/z* = z/r^2
so 1/z* = 1/r e^iθ = z/r^2
or, since zz* = r^2,
1/z* = z/r^2