alpha

latex.add_to_preamble("\usepackage{breqn}") 

var("alpha,lambda_D,Z") 

(alpha, lambda_D, Z)

(alpha, lambda_D, Z)

result=([alpha == -1/36*(-I*sqrt(3) + 1)*(2*Z^2 + 3*Z*lambda_D)/(1/36*sqrt(-9*Z^2 - 20*Z*lambda_D + 27*lambda_D^2)*sqrt(3)*Z*lambda_D + 1/27*Z^3 + 1/12*Z^2*lambda_D - 1/4*Z*lambda_D^2)^(1/3) - 1/2*(I*sqrt(3) + 1)*(1/36*sqrt(-9*Z^2 - 20*Z*lambda_D + 27*lambda_D^2)*sqrt(3)*Z*lambda_D + 1/27*Z^3 + 1/12*Z^2*lambda_D - 1/4*Z*lambda_D^2)^(1/3) + 1/3*Z - 1/2*lambda_D, alpha == -1/36*(I*sqrt(3) + 1)*(2*Z^2 + 3*Z*lambda_D)/ (1/36*sqrt(-9*Z^2 - 20*Z*lambda_D + 27*lambda_D^2)*sqrt(3)*Z*lambda_D + 1/27*Z^3 + 1/12*Z^2*lambda_D - 1/4*Z*lambda_D^2)^(1/3) - 1/2*(-I*sqrt(3) + 1)*(1/36*sqrt(-9*Z^2 - 20*Z*lambda_D + 27*lambda_D^2)*sqrt(3)*Z*lambda_D + 1/27*Z^3 + 1/12*Z^2*lambda_D - 1/4*Z*lambda_D^2)^(1/3) + 1/3*Z - 1/2*lambda_D, alpha == 1/3*Z - 1/2*lambda_D + 1/18*(2*Z^2 + 3*Z*lambda_D)/(1/36*sqrt(-9*Z^2 - 20*Z*lambda_D + 27*lambda_D^2)*sqrt(3)*Z*lambda_D + 1/27*Z^3 + 1/12*Z^2*lambda_D - 1/4*Z*lambda_D^2)^(1/3) + (1/36*sqrt(-9*Z^2 - 20*Z*lambda_D + 27*lambda_D^2)*sqrt(3)*Z*lambda_D + 1/27*Z^3 + 1/12*Z^2*lambda_D - 1/4*Z*lambda_D^2)^(1/3)]) 

%latex \begin{dmath*} \sage{latex(result)} \end{dmath*}