$\left(1+\cos \frac{\pi }{8}\right)\left(1+\cos \frac{2\pi }{8}\right)\left(1+\cos \frac{3\pi }{8}\right)\left(1+\cos \frac{8\pi }{8}\right)\left(1+\cos \frac{5\pi }{8}\right)\left(1+\cos \frac{6\pi }{8}\right)\left(1+\cos \frac{7\pi }{8}\right)$

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