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-2 Im (2 i (1/2 log(Im(sqrt(1 - i))^2 + (1 + Re(sqrt(1 - i)))^2) - log(2) - i cot^(-1)((2^(3/4) (1 + sqrt(2 + sqrt(2))/2^(3/4)))/sqrt(2 - sqrt(2))))^2 - 4 i Li_2(1/2 - e^(-(i π)/8)/2^(3/4)))
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