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Let $$\alpha=\left(1-2\cos\tfrac{\pi}{11}\right)\left(1-2\cos\tfrac{3\pi}{11}\right)\left(1-2\cos\tfrac{9\pi}{11}\right)\left(1-2\cos\tfrac{27\pi}{11}\right)\left(1-2\cos\tfrac{81\pi}{11}\right).$$
Then the value of $$5-\alpha^2$$ is ___.
Correct Answer: 4.00
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