Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{3}}&{}\approx{}&-0.321093475754&{}:{}&0.550455614898&{}:{}&0.770637860857&,\\B^\prime_{\mathbf{3}}&{}\approx{}&0.016225903608&{}:{}&0.945913654641&{}:{}&0.037860441752&,\\C^\prime_{\mathbf{3}}&{}\approx{}&0.739430042465&{}:{}&1.232383404108&{}:{}&-0.971813446573&,
\\
A^{\prime\prime}_{\mathbf{3}}&{}\approx{}&0.031754982293&{}:{}&0.952064907159&{}:{}&0.016180110547&,\\B^{\prime\prime}_{\mathbf{3}}&{}\approx{}&0.006345580218&{}:{}&0.761002375724&{}:{}&0.232652044058&,\\C^{\prime\prime}_{\mathbf{3}}&{}\approx{}&0.000429876983&{}:{}&0.927395104842&{}:{}&0.072175018175&,
\\
A^{\prime\prime\prime}_{\mathbf{3}}&{}\approx{}&0.017246659570&{}:{}&1.005420171254&{}:{}&-0.022666830824&,\\B^{\prime\prime\prime}_{\mathbf{3}}&{}\approx{}&1.568548005965&{}:{}&-2.688986610804&{}:{}&2.120438604839&,\\C^{\prime\prime\prime}_{\mathbf{3}}&{}\approx{}&-0.016296405516&{}:{}&0.977184346148&{}:{}&0.039112059369&,
\\
A^*_{\mathbf{3}}&{}\approx{}&0.000000000000&{}:{}&0.774291885177&{}:{}&0.225708114823&,\\B^*_{\mathbf{3}}&{}\approx{}&-0.058257569496&{}:{}&0.000000000000&{}:{}&1.058257569496&,\\C^*_{\mathbf{3}}&{}\approx{}&-0.016309071859&{}:{}&1.016309071859&{}:{}&0.000000000000&.
\end{alignedat}
\]