Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{b}}&{}\approx{}&0.884489355921&{}:{}&-0.288776610198&{}:{}&0.404287254278&,\\B^\prime_{\mathbf{b}}&{}\approx{}&0.835089355133&{}:{}&-1.783631183776&{}:{}&1.948541828643&,\\C^\prime_{\mathbf{b}}&{}\approx{}&0.359305255565&{}:{}&-0.598842092609&{}:{}&1.239536837044&,
\\
A^{\prime\prime}_{\mathbf{b}}&{}\approx{}&0.502433603565&{}:{}&-0.955257755724&{}:{}&1.452824152159&,\\B^{\prime\prime}_{\mathbf{b}}&{}\approx{}&0.713626705381&{}:{}&-0.389652874598&{}:{}&0.676026169217&,\\C^{\prime\prime}_{\mathbf{b}}&{}\approx{}&0.876000940496&{}:{}&-0.545637873723&{}:{}&0.669636933227&,
\\
A^{\prime\prime\prime}_{\mathbf{b}}&{}\approx{}&0.432159811138&{}:{}&-0.923031422664&{}:{}&1.490871611526&,\\B^{\prime\prime\prime}_{\mathbf{b}}&{}\approx{}&0.741120760348&{}:{}&-0.241968249237&{}:{}&0.500847488889&,\\C^{\prime\prime\prime}_{\mathbf{b}}&{}\approx{}&0.962756304520&{}:{}&-0.402818245670&{}:{}&0.440061941150&,
\\
A^*_{\mathbf{b}}&{}\approx{}&0.000000000000&{}:{}&-1.688901059317&{}:{}&2.688901059317&,\\B^*_{\mathbf{b}}&{}\approx{}&0.755040111164&{}:{}&0.000000000000&{}:{}&0.244959888836&,\\C^*_{\mathbf{b}}&{}\approx{}&1.255928946018&{}:{}&-0.255928946018&{}:{}&0.000000000000&.
\end{alignedat}
\]