Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{a}}&{}\approx{}&-0.865858935109&{}:{}&0.655202526796&{}:{}&1.210656408313&,\\B^\prime_{\mathbf{a}}&{}\approx{}&-0.160638130892&{}:{}&0.863817568348&{}:{}&0.296820562545&,\\C^\prime_{\mathbf{a}}&{}\approx{}&-0.370459237183&{}:{}&0.370459237183&{}:{}&1.000000000000&,
\\
A^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.224101579146&{}:{}&0.714594158588&{}:{}&0.509507420557&,\\B^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.549392878506&{}:{}&0.473305794955&{}:{}&1.076087083552&,\\C^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.299495333936&{}:{}&0.822741495422&{}:{}&0.476753838514&,
\\
A^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.141307498512&{}:{}&0.759868775088&{}:{}&0.381438723424&,\\B^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.555762389735&{}:{}&0.420549938664&{}:{}&1.135212451070&,\\C^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.223846518284&{}:{}&0.910861099008&{}:{}&0.312985419276&,
\\
A^*_{\mathbf{a}}&{}\approx{}&0.000000000000&{}:{}&0.804909677984&{}:{}&0.195090322016&,\\B^*_{\mathbf{a}}&{}\approx{}&-0.980785280403&{}:{}&0.000000000000&{}:{}&1.980785280403&,\\C^*_{\mathbf{a}}&{}\approx{}&-0.136379290286&{}:{}&1.136379290286&{}:{}&0.000000000000&.
\end{alignedat}
\]