Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{1}}&{}\approx{}&-0.577350269190&{}:{}&0.788675134595&{}:{}&0.788675134595&,\\B^\prime_{\mathbf{1}}&{}\approx{}&0.788675134595&{}:{}&-0.577350269190&{}:{}&0.788675134595&,\\C^\prime_{\mathbf{1}}&{}\approx{}&0.018874775675&{}:{}&0.018874775675&{}:{}&0.962250448649&,
\\
A^{\prime\prime}_{\mathbf{1}}&{}\approx{}&0.036867235218&{}:{}&0.004939272952&{}:{}&0.958193491830&,\\B^{\prime\prime}_{\mathbf{1}}&{}\approx{}&0.004939272952&{}:{}&0.036867235218&{}:{}&0.958193491830&,\\C^{\prime\prime}_{\mathbf{1}}&{}\approx{}&0.105662432703&{}:{}&0.105662432703&{}:{}&0.788675134595&,
\\
A^{\prime\prime\prime}_{\mathbf{1}}&{}\approx{}&0.019512685773&{}:{}&-0.014284277378&{}:{}&0.994771591605&,\\B^{\prime\prime\prime}_{\mathbf{1}}&{}\approx{}&-0.014284277378&{}:{}&0.019512685773&{}:{}&0.994771591605&,\\C^{\prime\prime\prime}_{\mathbf{1}}&{}\approx{}&1.577350269190&{}:{}&1.577350269190&{}:{}&-2.154700538379&,
\\
A^*_{\mathbf{1}}&{}\approx{}&0.000000000000&{}:{}&-0.077350269190&{}:{}&1.077350269190&,\\B^*_{\mathbf{1}}&{}\approx{}&-0.077350269190&{}:{}&0.000000000000&{}:{}&1.077350269190&,\\C^*_{\mathbf{1}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&.
\end{alignedat}
\]