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