Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{c}}&{}\approx{}&1.207106781187&{}:{}&0.500000000000&{}:{}&-0.707106781187&,\\B^\prime_{\mathbf{c}}&{}\approx{}&0.500000000000&{}:{}&1.207106781187&{}:{}&-0.707106781187&,\\C^\prime_{\mathbf{c}}&{}\approx{}&4.054865846209&{}:{}&4.054865846209&{}:{}&-7.109731692418&,
\\
A^{\prime\prime}_{\mathbf{c}}&{}\approx{}&0.890227282892&{}:{}&1.519713031423&{}:{}&-1.409940314315&,\\B^{\prime\prime}_{\mathbf{c}}&{}\approx{}&1.519713031423&{}:{}&0.890227282892&{}:{}&-1.409940314315&,\\C^{\prime\prime}_{\mathbf{c}}&{}\approx{}&0.853553390593&{}:{}&0.853553390593&{}:{}&-0.707106781187&,
\\
A^{\prime\prime\prime}_{\mathbf{c}}&{}\approx{}&0.602108277599&{}:{}&1.453617969797&{}:{}&-1.055726247397&,\\B^{\prime\prime\prime}_{\mathbf{c}}&{}\approx{}&1.453617969797&{}:{}&0.602108277599&{}:{}&-1.055726247397&,\\C^{\prime\prime\prime}_{\mathbf{c}}&{}\approx{}&0.707106781187&{}:{}&0.707106781187&{}:{}&-0.414213562373&,
\\
A^*_{\mathbf{c}}&{}\approx{}&0.000000000000&{}:{}&2.630986313698&{}:{}&-1.630986313698&,\\B^*_{\mathbf{c}}&{}\approx{}&2.630986313698&{}:{}&0.000000000000&{}:{}&-1.630986313698&,\\C^*_{\mathbf{c}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&.
\end{alignedat}
\]