Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{3}}&{}\approx{}&-0.962250448649&{}:{}&0.981125224325&{}:{}&0.981125224325&,\\B^\prime_{\mathbf{3}}&{}\approx{}&0.211324865405&{}:{}&0.577350269190&{}:{}&0.211324865405&,\\C^\prime_{\mathbf{3}}&{}\approx{}&0.211324865405&{}:{}&0.211324865405&{}:{}&0.577350269190&,
\\
A^{\prime\prime}_{\mathbf{3}}&{}\approx{}&0.211324865405&{}:{}&0.394337567297&{}:{}&0.394337567297&,\\B^{\prime\prime}_{\mathbf{3}}&{}\approx{}&0.003344969709&{}:{}&0.347748149397&{}:{}&0.648906880894&,\\C^{\prime\prime}_{\mathbf{3}}&{}\approx{}&0.003344969709&{}:{}&0.648906880894&{}:{}&0.347748149397&,
\\
A^{\prime\prime\prime}_{\mathbf{3}}&{}\approx{}&0.154700538379&{}:{}&0.422649730810&{}:{}&0.422649730810&,\\B^{\prime\prime\prime}_{\mathbf{3}}&{}\approx{}&-0.356473719264&{}:{}&0.363466037631&{}:{}&0.993007681634&,\\C^{\prime\prime\prime}_{\mathbf{3}}&{}\approx{}&-0.356473719264&{}:{}&0.993007681634&{}:{}&0.363466037631&,
\\
A^*_{\mathbf{3}}&{}\approx{}&0.000000000000&{}:{}&0.500000000000&{}:{}&0.500000000000&,\\B^*_{\mathbf{3}}&{}\approx{}&-0.077350269190&{}:{}&0.000000000000&{}:{}&1.077350269190&,\\C^*_{\mathbf{3}}&{}\approx{}&-0.077350269190&{}:{}&1.077350269190&{}:{}&0.000000000000&.
\end{alignedat}
\]