Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{1}}&{}\approx{}&-0.207106781187&{}:{}&0.500000000000&{}:{}&0.707106781187&,\\B^\prime_{\mathbf{1}}&{}\approx{}&0.500000000000&{}:{}&-0.207106781187&{}:{}&0.707106781187&,\\C^\prime_{\mathbf{1}}&{}\approx{}&0.027526354083&{}:{}&0.027526354083&{}:{}&0.944947291833&,
\\
A^{\prime\prime}_{\mathbf{1}}&{}\approx{}&0.052180054836&{}:{}&0.015283184219&{}:{}&0.932536760946&,\\B^{\prime\prime}_{\mathbf{1}}&{}\approx{}&0.015283184219&{}:{}&0.052180054836&{}:{}&0.932536760946&,\\C^{\prime\prime}_{\mathbf{1}}&{}\approx{}&0.146446609407&{}:{}&0.146446609407&{}:{}&0.707106781187&,
\\
A^{\prime\prime\prime}_{\mathbf{1}}&{}\approx{}&0.028641306985&{}:{}&-0.011863617797&{}:{}&0.983222310812&,\\B^{\prime\prime\prime}_{\mathbf{1}}&{}\approx{}&-0.011863617797&{}:{}&0.028641306985&{}:{}&0.983222310812&,\\C^{\prime\prime\prime}_{\mathbf{1}}&{}\approx{}&-0.707106781187&{}:{}&-0.707106781187&{}:{}&2.414213562373&,
\\
A^*_{\mathbf{1}}&{}\approx{}&0.000000000000&{}:{}&-0.089790213552&{}:{}&1.089790213552&,\\B^*_{\mathbf{1}}&{}\approx{}&-0.089790213552&{}:{}&0.000000000000&{}:{}&1.089790213552&,\\C^*_{\mathbf{1}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&.
\end{alignedat}
\]