Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{b}}&{}\approx{}&0.876655225327&{}:{}&-0.199576037755&{}:{}&0.322920812428&,\\B^\prime_{\mathbf{b}}&{}\approx{}&0.839915207551&{}:{}&-1.198926561037&{}:{}&1.359011353486&,\\C^\prime_{\mathbf{b}}&{}\approx{}&0.338909579091&{}:{}&-0.338909579091&{}:{}&1.000000000000&,
\\
A^{\prime\prime}_{\mathbf{b}}&{}\approx{}&0.482947614758&{}:{}&-0.586162603175&{}:{}&1.103214988417&,\\B^{\prime\prime}_{\mathbf{b}}&{}\approx{}&0.677353438913&{}:{}&-0.251216481318&{}:{}&0.573863042405&,\\C^{\prime\prime}_{\mathbf{b}}&{}\approx{}&0.869601363923&{}:{}&-0.391445299440&{}:{}&0.521843935517&,
\\
A^{\prime\prime\prime}_{\mathbf{b}}&{}\approx{}&0.396321830444&{}:{}&-0.565724688594&{}:{}&1.169402858151&,\\B^{\prime\prime\prime}_{\mathbf{b}}&{}\approx{}&0.692484678091&{}:{}&-0.157648462322&{}:{}&0.465163784231&,\\C^{\prime\prime\prime}_{\mathbf{b}}&{}\approx{}&0.958413981388&{}:{}&-0.311451084882&{}:{}&0.353037103494&,
\\
A^*_{\mathbf{b}}&{}\approx{}&0.000000000000&{}:{}&-0.951056516295&{}:{}&1.951056516295&,\\B^*_{\mathbf{b}}&{}\approx{}&0.690983005625&{}:{}&0.000000000000&{}:{}&0.309016994375&,\\C^*_{\mathbf{b}}&{}\approx{}&1.278768257918&{}:{}&-0.278768257918&{}:{}&0.000000000000&.
\end{alignedat}
\]