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