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 Exp

 http://functions.wolfram.com/01.03.03.0177.01

 Input Form

 E^((12 Pi I)/7) == (28 2^(2/3) (1 - 3 I Sqrt[3])^(1/3) + 4 7^(2/3) (1 - 3 I Sqrt[3]) - 4 (-364 - 84 I Sqrt[3])^(1/3) - 4 I Sqrt[7] (-364 - 84 I Sqrt[3])^(1/3) - 4 I Sqrt[7] (28 - 84 I Sqrt[3] + 52 I Sqrt[7] - 12 Sqrt[21])^(1/3) + 4 (7 - 21 I Sqrt[3] + 13 I Sqrt[7] - 3 Sqrt[21])^(1/3) (14 + I Sqrt[7] + 3 Sqrt[21])^(2/3) + 2 I Sqrt[7] (2 (1 - 3 I Sqrt[3]) (14 + I Sqrt[7] + 3 Sqrt[21]))^(1/3) - 2 Sqrt[21] (2 (1 - 3 I Sqrt[3]) (14 + I Sqrt[7] + 3 Sqrt[21]))^(1/3) + 2 (14 - I Sqrt[7] - 3 Sqrt[21])^(2/3) (7 - 21 I Sqrt[3] - 13 I Sqrt[7] + 3 Sqrt[21])^(1/3) - 2 I Sqrt[3] (14 - I Sqrt[7] - 3 Sqrt[21])^(2/3) (7 - 21 I Sqrt[3] - 13 I Sqrt[7] + 3 Sqrt[21])^(1/3))/ (24 (-364 - 84 I Sqrt[3])^(1/3))

 Standard Form

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 MathML Form

 12 π 7 1 24 - 364 - 84 3 3 ( 28 2 2 / 3 1 - 3 3 3 + 4 7 2 / 3 ( 1 - 3 3 ) - 4 7 - 364 - 84 3 3 - 4 - 364 - 84 3 3 - 2 21 2 ( 1 - 3 3 ) ( 14 + 7 + 3 21 ) 3 - 2 3 ( 14 - 7 - 3 21 ) 2 / 3 7 - 21 3 - 13 7 + 3 21 3 + 4 ( 14 + 7 + 3 21 ) 2 / 3 7 - 21 3 + 13 7 - 3 21 3 - 4 7 28 - 84 3 + 52 7 - 12 21 3 + 2 7 - 21 3 - 13 7 + 3 21 3 ( 14 - 7 - 3 21 ) 2 / 3 + 2 7 2 ( 1 - 3 3 ) ( 14 + 7 + 3 21 ) 3 ) 12 7 -1 1 24 -364 -1 84 3 1 2 1 3 -1 28 2 2 3 1 -1 3 3 1 2 1 3 4 7 2 3 1 -1 3 3 1 2 -1 4 7 1 2 -364 -1 84 3 1 2 1 3 -1 4 -364 -1 84 3 1 2 1 3 -1 2 21 1 2 2 1 -1 3 3 1 2 14 7 1 2 3 21 1 2 1 3 -1 2 3 1 2 14 -1 7 1 2 -1 3 21 1 2 2 3 7 -1 21 3 1 2 -1 13 7 1 2 3 21 1 2 1 3 4 14 7 1 2 3 21 1 2 2 3 7 -1 21 3 1 2 13 7 1 2 -1 3 21 1 2 1 3 -1 4 7 1 2 28 -1 84 3 1 2 52 7 1 2 -1 12 21 1 2 1 3 2 7 -1 21 3 1 2 -1 13 7 1 2 3 21 1 2 1 3 14 -1 7 1 2 -1 3 21 1 2 2 3 2 7 1 2 2 1 -1 3 3 1 2 14 7 1 2 3 21 1 2 1 3 [/itex]

 Rule Form

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 Date Added to functions.wolfram.com (modification date)

 2001-10-29