Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{b}}&{}\approx{}&0.868347502413&{}:{}&-0.179840656176&{}:{}&0.311493153763&,\\B^\prime_{\mathbf{b}}&{}\approx{}&0.744962785747&{}:{}&-1.035276180410&{}:{}&1.290313394663&,\\C^\prime_{\mathbf{b}}&{}\approx{}&0.349396052863&{}:{}&-0.349396052863&{}:{}&1.000000000000&,
\\
A^{\prime\prime}_{\mathbf{b}}&{}\approx{}&0.475688682152&{}:{}&-0.568377067908&{}:{}&1.092688385756&,\\B^{\prime\prime}_{\mathbf{b}}&{}\approx{}&0.692001894452&{}:{}&-0.237457509424&{}:{}&0.545455614972&,\\C^{\prime\prime}_{\mathbf{b}}&{}\approx{}&0.844353659612&{}:{}&-0.346191773636&{}:{}&0.501838114024&,
\\
A^{\prime\prime\prime}_{\mathbf{b}}&{}\approx{}&0.404468620352&{}:{}&-0.562090800218&{}:{}&1.157622179866&,\\B^{\prime\prime\prime}_{\mathbf{b}}&{}\approx{}&0.721683111454&{}:{}&-0.149465466250&{}:{}&0.427782354796&,\\C^{\prime\prime\prime}_{\mathbf{b}}&{}\approx{}&0.933791576263&{}:{}&-0.268760793356&{}:{}&0.334969217093&,
\\
A^*_{\mathbf{b}}&{}\approx{}&0.000000000000&{}:{}&-0.965925826289&{}:{}&1.965925826289&,\\B^*_{\mathbf{b}}&{}\approx{}&0.741180954897&{}:{}&0.000000000000&{}:{}&0.258819045103&,\\C^*_{\mathbf{b}}&{}\approx{}&1.207106781187&{}:{}&-0.207106781187&{}:{}&0.000000000000&.
\end{alignedat}
\]