Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{5}}&{}\approx{}&0.577350269190&{}:{}&0.211324865405&{}:{}&0.211324865405&,\\B^\prime_{\mathbf{5}}&{}\approx{}&0.981125224325&{}:{}&-0.962250448649&{}:{}&0.981125224325&,\\C^\prime_{\mathbf{5}}&{}\approx{}&0.211324865405&{}:{}&0.211324865405&{}:{}&0.577350269190&,
\\
A^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.347748149397&{}:{}&0.003344969709&{}:{}&0.648906880894&,\\B^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.394337567297&{}:{}&0.211324865405&{}:{}&0.394337567297&,\\C^{\prime\prime}_{\mathbf{5}}&{}\approx{}&0.648906880894&{}:{}&0.003344969709&{}:{}&0.347748149397&,
\\
A^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&0.363466037631&{}:{}&-0.356473719264&{}:{}&0.993007681634&,\\B^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&0.422649730810&{}:{}&0.154700538379&{}:{}&0.422649730810&,\\C^{\prime\prime\prime}_{\mathbf{5}}&{}\approx{}&0.993007681634&{}:{}&-0.356473719264&{}:{}&0.363466037631&,
\\
A^*_{\mathbf{5}}&{}\approx{}&0.000000000000&{}:{}&-0.077350269190&{}:{}&1.077350269190&,\\B^*_{\mathbf{5}}&{}\approx{}&0.500000000000&{}:{}&0.000000000000&{}:{}&0.500000000000&,\\C^*_{\mathbf{5}}&{}\approx{}&1.077350269190&{}:{}&-0.077350269190&{}:{}&0.000000000000&.
\end{alignedat}
\]