\documentclass{article}
\usepackage{amsmath}
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\begin{document}


	



\begin{equation}
\begin{aligned}
&{\alpha _1} = \alpha  + \beta \omega _1^2\\
&{\alpha _2} = \alpha  + \beta \omega _2^2\\
&{\alpha _1} = \alpha  + \beta \omega _1^2\\
&{\alpha _2} = \alpha  + \beta \omega _2^2\\
&{\alpha _1} = \alpha  + \beta \omega _1^2\\
&{\alpha _2} = \alpha  + \beta \omega _2^2\\
&{\alpha _1} = \alpha  + \beta \omega _1^2\\
&{\alpha _2} = \alpha  + \beta \omega _2^2\\
&{\alpha _1} = \alpha  + \beta \omega _1^2\\
&{\alpha _2} = \alpha  + \beta \omega _2^2\\
&{\alpha _1} = \alpha  + \beta \omega _1^2\\
&{\alpha _2} = \alpha  + \beta \omega _2^2\\
&{\alpha _1} = \alpha  + \beta \omega _1^2\\
&{\alpha _2} = \alpha  + \beta \omega _2^2\\
&{\alpha _1} = \alpha  + \beta \omega _1^2\\
&{\alpha _2} = \alpha  + \beta \omega _2^2\\
&{\alpha _1} = \alpha  + \beta \omega _1^2\\
&{\alpha _2} = \alpha  + \beta \omega _2^2\\
&{\alpha _1} = \alpha  + \beta \omega _1^2\\
&{\alpha _2} = \alpha  + \beta \omega _2^2\\
&{\alpha _1} = \alpha  + \beta \omega _1^2\\
&{\alpha _2} = \alpha  + \beta \omega _2^2\\
&{\alpha _1} = \alpha  + \beta \omega _1^2\\
&{\alpha _2} = \alpha  + \beta \omega _2^2\\
&{\alpha _1} = \alpha  + \beta \omega _1^2\\
&{\alpha _2} = \alpha  + \beta \omega _2^2\\
&{\alpha _1} = \alpha  + \beta \omega _1^2\\
&{\alpha _2} = \alpha  + \beta \omega _2^2\\
&{\alpha _1} = \alpha  + \beta \omega _1^2\\
&{\alpha _2} = \alpha  + \beta \omega _2^2\\
&{\alpha _1} = \alpha  + \beta \omega _1^2\\
&{\alpha _2} = \alpha  + \beta \omega _2^2\\
&{\alpha _1} = \alpha  + \beta \omega _1^2\\
&{\alpha _2} = \alpha  + \beta \omega _2^2\\
&{\alpha _1} = \alpha  + \beta \omega _1^2\\
&{\alpha _2} = \alpha  + \beta \omega _2^2\\
&{\alpha _1} = \alpha  + \beta \omega _1^2\\
&{\alpha _2} = \alpha  + \beta \omega _2^2\\
&{\alpha _1} = \alpha  + \beta \omega _1^2\\
&{\alpha _2} = \alpha  + \beta \omega _2^2\\
&{\alpha _1} = \alpha  + \beta \omega _1^2\\
&{\alpha _2} = \alpha  + \beta \omega _2^2\\
&{\alpha _1} = \alpha  + \beta \omega _1^2\\
&{\alpha _2} = \alpha  + \beta \omega _2^2\\
&{\alpha _1} = \alpha  + \beta \omega _1^2\\
&{\alpha _2} = \alpha  + \beta \omega _2^2\\
&{\alpha _1} = \alpha  + \beta \omega _1^2\\
&{\alpha _2} = \alpha  + \beta \omega _2^2\\
\end{aligned}
\end{equation}



\end{document}