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