Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{a}}&{}\approx{}&-1.048631302823&{}:{}&0.910502801255&{}:{}&1.138128501568&,\\B^\prime_{\mathbf{a}}&{}\approx{}&-0.183049043273&{}:{}&0.877967304485&{}:{}&0.305081738788&,\\C^\prime_{\mathbf{a}}&{}\approx{}&-0.239614308448&{}:{}&0.319485744597&{}:{}&0.920128563851&,
\\
A^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.207546595830&{}:{}&0.636097469292&{}:{}&0.571449126538&,\\B^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.449753986343&{}:{}&0.473000608660&{}:{}&0.976753377682&,\\C^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.366025392403&{}:{}&0.884845017551&{}:{}&0.481180374852&,
\\
A^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.130951923948&{}:{}&0.628091278872&{}:{}&0.502860645075&,\\B^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.422129330949&{}:{}&0.366525333820&{}:{}&1.055603997129&,\\C^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.311646061027&{}:{}&0.973402043800&{}:{}&0.338244017226&,
\\
A^*_{\mathbf{a}}&{}\approx{}&0.000000000000&{}:{}&0.598726524541&{}:{}&0.401273475459&,\\B^*_{\mathbf{a}}&{}\approx{}&-0.644122805635&{}:{}&0.000000000000&{}:{}&1.644122805635&,\\C^*_{\mathbf{a}}&{}\approx{}&-0.356062329784&{}:{}&1.356062329784&{}:{}&0.000000000000&.
\end{alignedat}
\]