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