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so
exp(-2 * pi * i * k * n / N)

>>> np.exp(-2 * np.pi * 1j)
(1+2.4492935982947064e-16j)
>>> np.exp(2 * np.pi * 1j)
(1-2.4492935982947064e-16j)

it looks like the real component is the cosine of the coefficient
and the imaginary component is the sine