Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{7}}&{}\approx{}&-0.000000000000&{}:{}&0.366025403784&{}:{}&0.633974596216&,\\B^\prime_{\mathbf{7}}&{}\approx{}&0.366025403784&{}:{}&-0.000000000000&{}:{}&0.633974596216&,\\C^\prime_{\mathbf{7}}&{}\approx{}&3.623277963258&{}:{}&3.623277963258&{}:{}&-6.246555926517&,
\\
A^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.664883894507&{}:{}&0.332441947254&{}:{}&0.002674158239&,\\B^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.332441947254&{}:{}&0.664883894507&{}:{}&0.002674158239&,\\C^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.183012701892&{}:{}&0.183012701892&{}:{}&0.633974596216&,
\\
A^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&-1.381202455099&{}:{}&0.000000000000&{}:{}&2.381202455099&,\\B^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&0.000000000000&{}:{}&-1.381202455099&{}:{}&2.381202455099&,\\C^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&-0.000000000000&{}:{}&-0.000000000000&{}:{}&1.000000000000&,
\\
A^*_{\mathbf{7}}&{}\approx{}&0.000000000000&{}:{}&0.814313139868&{}:{}&0.185686860132&,\\B^*_{\mathbf{7}}&{}\approx{}&0.814313139868&{}:{}&0.000000000000&{}:{}&0.185686860132&,\\C^*_{\mathbf{7}}&{}\approx{}&0.500000000000&{}:{}&0.500000000000&{}:{}&0.000000000000&.
\end{alignedat}
\]