Solve for β, α
\beta =2\pi n_{1}+\arcsin(\frac{1}{4})\text{, }n_{1}\in \mathrm{Z}\text{, }\alpha =2\pi n_{2}+\arccos(\frac{4-3\sqrt{15}}{12})\text{, }n_{2}\in \mathrm{Z}
\beta =2\pi n_{1}+\arcsin(\frac{1}{4})\text{, }n_{1}\in \mathrm{Z}\text{, }\alpha =2\pi n_{3}-\arccos(\frac{4-3\sqrt{15}}{12})+2\pi \text{, }n_{3}\in \mathrm{Z}
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