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The independent set is found by computer, using the fact that the set $\\{t \\cdot (1,7,7^2,7^3,7^4) \\,\\, | \\,\\, t \\in \\mathbb{Z}_{382}\\} \\subseteq \\mathbb{Z}_{382}^5$ is independent in the fifth strong product power of the circular graph $C_{108,382}$. 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