Coth[(5 Pi I)/7] == (-2 I 2^(2/3) (7 - 21 I Sqrt[3])^(1/3) + 4 Sqrt[7] (7 - (I Sqrt[7])/2 - (3 Sqrt[21])/2)^(1/3) + 2 Sqrt[7] (7 + (I Sqrt[7])/2 + (3 Sqrt[21])/2)^(1/3) + 2 I Sqrt[21] (7 + (I Sqrt[7])/2 + (3 Sqrt[21])/2)^(1/3) - I (14 - I Sqrt[7] - 3 Sqrt[21])^(2/3) (14 + I Sqrt[7] + 3 Sqrt[21])^ (1/3) - Sqrt[3] (14 - I Sqrt[7] - 3 Sqrt[21])^(2/3) (14 + I Sqrt[7] + 3 Sqrt[21])^(1/3) + 2 I (14 - I Sqrt[7] - 3 Sqrt[21])^(1/3) (14 + I Sqrt[7] + 3 Sqrt[21])^ (2/3))/(2 2^(2/3) 7^(5/6) (1 - 3 I Sqrt[3])^(1/3) + 4 Sqrt[7] (7 - (I Sqrt[7])/2 - (3 Sqrt[21])/2)^(1/3) - 2 Sqrt[7] (7 + (I Sqrt[7])/2 + (3 Sqrt[21])/2)^(1/3) - 2 I Sqrt[21] (7 + (I Sqrt[7])/2 + (3 Sqrt[21])/2)^(1/3) + I (14 - I Sqrt[7] - 3 Sqrt[21])^(2/3) (14 + I Sqrt[7] + 3 Sqrt[21])^ (1/3) + Sqrt[3] (14 - I Sqrt[7] - 3 Sqrt[21])^(2/3) (14 + I Sqrt[7] + 3 Sqrt[21])^(1/3) + 2 I (14 - I Sqrt[7] - 3 Sqrt[21])^(1/3) (14 + I Sqrt[7] + 3 Sqrt[21])^ (2/3))

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2001-10-29