Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{7}}&{}\approx{}&-0.577350269190&{}:{}&0.788675134595&{}:{}&0.788675134595&,\\B^\prime_{\mathbf{7}}&{}\approx{}&0.788675134595&{}:{}&-0.577350269190&{}:{}&0.788675134595&,\\C^\prime_{\mathbf{7}}&{}\approx{}&0.788675134595&{}:{}&0.788675134595&{}:{}&-0.577350269190&,
\\
A^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.788675134595&{}:{}&0.105662432703&{}:{}&0.105662432703&,\\B^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.105662432703&{}:{}&0.788675134595&{}:{}&0.105662432703&,\\C^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.105662432703&{}:{}&0.105662432703&{}:{}&0.788675134595&,
\\
A^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&-2.154700538379&{}:{}&1.577350269190&{}:{}&1.577350269190&,\\B^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&1.577350269190&{}:{}&-2.154700538379&{}:{}&1.577350269190&,\\C^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&1.577350269190&{}:{}&1.577350269190&{}:{}&-2.154700538379&,
\\
A^*_{\mathbf{7}}&{}\approx{}&0.000000000000&{}:{}&0.500000000000&{}:{}&0.500000000000&,\\B^*_{\mathbf{7}}&{}\approx{}&0.500000000000&{}:{}&0.000000000000&{}:{}&0.500000000000&,\\C^*_{\mathbf{7}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&.
\end{alignedat}
\]