Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{a}}&{}\approx{}&-0.506052104307&{}:{}&0.722905010067&{}:{}&0.783147094240&,\\B^\prime_{\mathbf{a}}&{}\approx{}&-0.103748070570&{}:{}&0.834003087088&{}:{}&0.269744983482&,\\C^\prime_{\mathbf{a}}&{}\approx{}&-0.122256164685&{}:{}&0.293414795243&{}:{}&0.828841369441&,
\\
A^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.112244278848&{}:{}&0.585844055075&{}:{}&0.526400223773&,\\B^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.233059286351&{}:{}&0.417410001066&{}:{}&0.815649285284&,\\C^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.206816084122&{}:{}&0.805540389357&{}:{}&0.401275694765&,
\\
A^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.072367906342&{}:{}&0.581746310689&{}:{}&0.490621595653&,\\B^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.224023618489&{}:{}&0.320021979557&{}:{}&0.904001638932&,\\C^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.187534691880&{}:{}&0.897313096584&{}:{}&0.290221595296&,
\\
A^*_{\mathbf{a}}&{}\approx{}&0.000000000000&{}:{}&0.563708941166&{}:{}&0.436291058834&,\\B^*_{\mathbf{a}}&{}\approx{}&-0.314154134496&{}:{}&0.000000000000&{}:{}&1.314154134496&,\\C^*_{\mathbf{a}}&{}\approx{}&-0.227023454471&{}:{}&1.227023454471&{}:{}&0.000000000000&.
\end{alignedat}
\]