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(exp(i/z) - exp(-i/z)) * (exp(iz) - exp(-iz)) = 2cos(z + 1/z) - 2cos(-z + 1/z)
(exp(i/z) - exp(-i/z)) * (exp(iz) - exp(-iz)) = 2cos(z + 1/z) - 2cos(-z + 1/z)
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