Approximately,
\[
\begin{alignedat}{4}
A^\prime_{\mathbf{7}}&{}\approx{}&0.258819045103&{}:{}&0.343983278277&{}:{}&0.397197676620&,\\B^\prime_{\mathbf{7}}&{}\approx{}&0.655308608763&{}:{}&-0.965925826289&{}:{}&1.310617217526&,\\C^\prime_{\mathbf{7}}&{}\approx{}&1.258819045103&{}:{}&2.180338543653&{}:{}&-2.439157588755&,
\\
A^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.861922615730&{}:{}&0.111209297329&{}:{}&0.026868086941&,\\B^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.395086645885&{}:{}&0.594219004474&{}:{}&0.010694349641&,\\C^{\prime\prime}_{\mathbf{7}}&{}\approx{}&0.351033215403&{}:{}&0.039329152879&{}:{}&0.609637631718&,
\\
A^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&-0.414652684042&{}:{}&0.611198649156&{}:{}&0.803454034886&,\\B^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&1.187318480668&{}:{}&1.578004830277&{}:{}&-1.765323310945&,\\C^{\prime\prime\prime}_{\mathbf{7}}&{}\approx{}&0.712447143398&{}:{}&-0.805806984673&{}:{}&1.093359841275&,
\\
A^*_{\mathbf{7}}&{}\approx{}&0.000000000000&{}:{}&0.607206358682&{}:{}&0.392793641318&,\\B^*_{\mathbf{7}}&{}\approx{}&0.758819045103&{}:{}&0.000000000000&{}:{}&0.241180954897&,\\C^*_{\mathbf{7}}&{}\approx{}&0.670540688701&{}:{}&0.329459311299&{}:{}&0.000000000000&.
\end{alignedat}
\]