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Let A1,A2,....,A7 be the vertices of a p...

Let `A_1,A_2,....,A_7` be the vertices of a polygon and `a_1,a_2,.....,a_7` be the complex numbers respectively representing vertices `A_1,A_2,....,A_7.` If `|a_1|=|a_2|=....=+a_7|=R,` then `sum_(1 <= i < j <= 7)|a_i+a_j|^2`

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