Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{a}}&{}\approx{}&-0.754600960884&{}:{}&0.814313139868&{}:{}&0.940287821015&,\\B^\prime_{\mathbf{a}}&{}\approx{}&-0.142482539092&{}:{}&0.857517460908&{}:{}&0.284965078184&,\\C^\prime_{\mathbf{a}}&{}\approx{}&-0.177250691694&{}:{}&0.307007203691&{}:{}&0.870243488003&,
\\
A^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.157976251304&{}:{}&0.612193885840&{}:{}&0.545782365463&,\\B^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.335323888807&{}:{}&0.445902906223&{}:{}&0.889420982584&,\\C^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.284846922835&{}:{}&0.847469149469&{}:{}&0.437377773366&,
\\
A^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.100724410341&{}:{}&0.606200178336&{}:{}&0.494524232005&,\\B^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.318670453370&{}:{}&0.343887101817&{}:{}&0.974783351553&,\\C^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.250265410457&{}:{}&0.938416460254&{}:{}&0.311848950203&,
\\
A^*_{\mathbf{a}}&{}\approx{}&0.000000000000&{}:{}&0.582262332300&{}:{}&0.417737667700&,\\B^*_{\mathbf{a}}&{}\approx{}&-0.465925826289&{}:{}&0.000000000000&{}:{}&1.465925826289&,\\C^*_{\mathbf{a}}&{}\approx{}&-0.295385137588&{}:{}&1.295385137588&{}:{}&0.000000000000&.
\end{alignedat}
\]