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Omni-MATH / Let ζ=cos(2π)/(13)+isin(2π)/(13). Suppose a>b>c>d are positive integers satisfying |ζ^(a)+ζ^(b)+ζ^(c)+ζ^(d)|=√(3) Compute the smallest possible value of 1000a+100b+10c+d. · Discussion

Discussing Let ζ=cos(2π)/(13)+isin(2π)/(13). Suppose a>b>c>d are positive integers satisfying |ζ^(a)+ζ^(b)+ζ^(c)+ζ^(d)|=√(3) Compute the smallest possible value of 1000a+100b+10c+d. · Omni-MATH

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