Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{6}}&{}\approx{}&0.453848561685&{}:{}&0.208611286432&{}:{}&0.337540151884&,\\B^\prime_{\mathbf{6}}&{}\approx{}&0.208611286432&{}:{}&0.453848561685&{}:{}&0.337540151884&,\\C^\prime_{\mathbf{6}}&{}\approx{}&2.584993206903&{}:{}&2.584993206903&{}:{}&-4.169986413806&,
\\
A^{\prime\prime}_{\mathbf{6}}&{}\approx{}&0.386066645866&{}:{}&0.612990926709&{}:{}&0.000942427425&,\\B^{\prime\prime}_{\mathbf{6}}&{}\approx{}&0.612990926709&{}:{}&0.386066645866&{}:{}&0.000942427425&,\\C^{\prime\prime}_{\mathbf{6}}&{}\approx{}&0.331229924058&{}:{}&0.331229924058&{}:{}&0.337540151884&,
\\
A^{\prime\prime\prime}_{\mathbf{6}}&{}\approx{}&0.640033295438&{}:{}&1.392437559508&{}:{}&-1.032470854946&,\\B^{\prime\prime\prime}_{\mathbf{6}}&{}\approx{}&1.392437559508&{}:{}&0.640033295438&{}:{}&-1.032470854946&,\\C^{\prime\prime\prime}_{\mathbf{6}}&{}\approx{}&0.364467536191&{}:{}&0.364467536191&{}:{}&0.271064927618&,
\\
A^*_{\mathbf{6}}&{}\approx{}&0.000000000000&{}:{}&1.087785252292&{}:{}&-0.087785252292&,\\B^*_{\mathbf{6}}&{}\approx{}&1.087785252292&{}:{}&0.000000000000&{}:{}&-0.087785252292&,\\C^*_{\mathbf{6}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&.
\end{alignedat}
\]