Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{7b}}&{}\approx{}&1.000000000000&{}:{}&1.366025403784&{}:{}&-1.366025403784&,\\B^\prime_{\mathbf{7b}}&{}\approx{}&-0.032692070451&{}:{}&1.065384140902&{}:{}&-0.032692070451&,\\C^\prime_{\mathbf{7b}}&{}\approx{}&-1.366025403784&{}:{}&1.366025403784&{}:{}&1.000000000000&,
\\
A^{\prime\prime}_{\mathbf{7b}}&{}\approx{}&-0.063855924532&{}:{}&1.072410996238&{}:{}&-0.008555071705&,\\B^{\prime\prime}_{\mathbf{7b}}&{}\approx{}&-0.183012701892&{}:{}&1.366025403784&{}:{}&-0.183012701892&,\\C^{\prime\prime}_{\mathbf{7b}}&{}\approx{}&-0.008555071705&{}:{}&1.072410996238&{}:{}&-0.063855924532&,
\\
A^{\prime\prime\prime}_{\mathbf{7b}}&{}\approx{}&-0.030940107676&{}:{}&1.008290376865&{}:{}&0.022649730810&,\\B^{\prime\prime\prime}_{\mathbf{7b}}&{}\approx{}&0.297086290221&{}:{}&0.405827419558&{}:{}&0.297086290221&,\\C^{\prime\prime\prime}_{\mathbf{7b}}&{}\approx{}&0.022649730810&{}:{}&1.008290376865&{}:{}&-0.030940107676&,
\\
A^*_{\mathbf{7b}}&{}\approx{}&0.000000000000&{}:{}&0.866025403784&{}:{}&0.133974596216&,\\B^*_{\mathbf{7b}}&{}\approx{}&0.500000000000&{}:{}&0.000000000000&{}:{}&0.500000000000&,\\C^*_{\mathbf{7b}}&{}\approx{}&0.133974596216&{}:{}&0.866025403784&{}:{}&0.000000000000&.
\end{alignedat}
\]