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