Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{a}}&{}\approx{}&-1.513669746063&{}:{}&1.041196100146&{}:{}&1.472473645917&,\\B^\prime_{\mathbf{a}}&{}\approx{}&-0.240108467526&{}:{}&0.900543816310&{}:{}&0.339564651216&,\\C^\prime_{\mathbf{a}}&{}\approx{}&-0.334089318960&{}:{}&0.334089318960&{}:{}&1.000000000000&,
\\
A^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.279407814799&{}:{}&0.663673308476&{}:{}&0.615734506323&,\\B^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.620637271897&{}:{}&0.505862261271&{}:{}&1.114775010625&,\\C^{\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.478765891065&{}:{}&0.926901175191&{}:{}&0.551864715874&,
\\
A^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.174101304107&{}:{}&0.652979274079&{}:{}&0.521122030028&,\\B^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.572482266837&{}:{}&0.393788873157&{}:{}&1.178693393680&,\\C^{\prime\prime\prime}_{\mathbf{a}}&{}\approx{}&-0.391748274803&{}:{}&1.010661837698&{}:{}&0.381086437105&,
\\
A^*_{\mathbf{a}}&{}\approx{}&0.000000000000&{}:{}&0.617316567635&{}:{}&0.382683432365&,\\B^*_{\mathbf{a}}&{}\approx{}&-0.923879532511&{}:{}&0.000000000000&{}:{}&1.923879532511&,\\C^*_{\mathbf{a}}&{}\approx{}&-0.423879532511&{}:{}&1.423879532511&{}:{}&0.000000000000&.
\end{alignedat}
\]