N[Im[1/(2*2^(1/3))*((2(1+Sqrt[3])*Sqrt[5+Sqrt[5]]+Sqrt[2](Sqrt[5]-1)(Sqrt[3]-1))+i(2(1-Sqrt[3])*Sqrt[5+Sqrt[5]]+Sqrt[2](Sqrt[5]-1)(Sqrt[3]+1)))^(1/3)]-Sin[Pi/180]]]

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