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The final summation, above, is precisely a cyclic convolution of the two sequences ''a''<sub>''q''</sub> and ''b''<sub>''q''</sub> of length ''n''-1 (''q'' = 0,...,''n''-2) defined by:
:<math>a_q = x_{g^q}
:<math>b_q = e^{-\frac{2\pi i}{n} g^q }.</math>
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