Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{a}}&{}\approx{}&-2.398717474236&{}:{}&1.699358737118&{}:{}&1.699358737118&,\\B^\prime_{\mathbf{a}}&{}\approx{}&-0.366025403784&{}:{}&1.000000000000&{}:{}&0.366025403784&,\\C^\prime_{\mathbf{a}}&{}\approx{}&-0.366025403784&{}:{}&0.366025403784&{}:{}&1.000000000000&,
\\
A^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.366025403784&{}:{}&0.683012701892&{}:{}&0.683012701892&,\\B^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.726257150084&{}:{}&0.602317462994&{}:{}&1.123939687090&,\\C^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.726257150084&{}:{}&1.123939687090&{}:{}&0.602317462994&,
\\
A^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.224009237740&{}:{}&0.612004618870&{}:{}&0.612004618870&,\\B^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.608290376865&{}:{}&0.430940107676&{}:{}&1.177350269190&,\\C^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.608290376865&{}:{}&1.177350269190&{}:{}&0.430940107676&,
\\
A^*_{\mathbf{a}}&{}\approx{}&0.000000000000&{}:{}&0.500000000000&{}:{}&0.500000000000&,\\B^*_{\mathbf{a}}&{}\approx{}&-0.866025403784&{}:{}&0.000000000000&{}:{}&1.866025403784&,\\C^*_{\mathbf{a}}&{}\approx{}&-0.866025403784&{}:{}&1.866025403784&{}:{}&0.000000000000&.
\end{alignedat}
\]