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CGtable.tex
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CGtable.tex
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\begin{table}
\tiny
\caption{$[j_1 \otimes j_2 = 1/2 \otimes 1/2]$}
\begin{center}
\begin{tabular}{|c|c|c|c|c|c|}
\hline
& $m_1$ & $m_2$ & $J$ & $M$ & $\langle j_1 j_2 m_1 m_2 | j_1 j_2 J M \rangle$ \\
\hline
$1$ & $-1/2$ & $-1/2$ & $1$ & $-1$ & $1$ \\
$2$ & $-1/2$ & $1/2$ & $0$ & $0$ & $-\sqrt{1/2}$ \\
$3$ & $-1/2$ & $1/2$ & $1$ & $0$ & $\sqrt{1/2}$ \\
$4$ & $1/2$ & $-1/2$ & $0$ & $0$ & $\sqrt{1/2}$ \\
$5$ & $1/2$ & $-1/2$ & $1$ & $0$ & $\sqrt{1/2}$ \\
$6$ & $1/2$ & $1/2$ & $1$ & $1$ & $1$ \\
\hline
\end{tabular}
\end{center}
\end{table}
\begin{table}
\tiny
\caption{$[j_1 \otimes j_2 = 1 \otimes 1/2]$}
\begin{center}
\begin{tabular}{|c|c|c|c|c|c|}
\hline
& $m_1$ & $m_2$ & $J$ & $M$ & $\langle j_1 j_2 m_1 m_2 | j_1 j_2 J M \rangle$ \\
\hline
$1$ & $-1$ & $-1/2$ & $3/2$ & $-3/2$ & $1$ \\
$2$ & $-1$ & $1/2$ & $1/2$ & $-1/2$ & $-\sqrt{2/3}$ \\
$3$ & $-1$ & $1/2$ & $3/2$ & $-1/2$ & $\sqrt{1/3}$ \\
$4$ & $0$ & $-1/2$ & $1/2$ & $-1/2$ & $\sqrt{1/3}$ \\
$5$ & $0$ & $-1/2$ & $3/2$ & $-1/2$ & $\sqrt{2/3}$ \\
$6$ & $0$ & $1/2$ & $1/2$ & $1/2$ & $-\sqrt{1/3}$ \\
$7$ & $0$ & $1/2$ & $3/2$ & $1/2$ & $\sqrt{2/3}$ \\
$8$ & $1$ & $-1/2$ & $1/2$ & $1/2$ & $\sqrt{2/3}$ \\
$9$ & $1$ & $-1/2$ & $3/2$ & $1/2$ & $\sqrt{1/3}$ \\
$10$ & $1$ & $1/2$ & $3/2$ & $3/2$ & $1$ \\
\hline
\end{tabular}
\end{center}
\end{table}
\begin{table}
\tiny
\caption{$[j_1 \otimes j_2 = 1 \otimes 1]$}
\begin{center}
\begin{tabular}{|c|c|c|c|c|c|}
\hline
& $m_1$ & $m_2$ & $J$ & $M$ & $\langle j_1 j_2 m_1 m_2 | j_1 j_2 J M \rangle$ \\
\hline
$1$ & $-1$ & $-1$ & $2$ & $-2$ & $1$ \\
$2$ & $-1$ & $0$ & $1$ & $-1$ & $-\sqrt{1/2}$ \\
$3$ & $-1$ & $0$ & $2$ & $-1$ & $\sqrt{1/2}$ \\
$4$ & $-1$ & $1$ & $0$ & $0$ & $\sqrt{1/3}$ \\
$5$ & $-1$ & $1$ & $1$ & $0$ & $-\sqrt{1/2}$ \\
$6$ & $-1$ & $1$ & $2$ & $0$ & $\sqrt{1/6}$ \\
$7$ & $0$ & $-1$ & $1$ & $-1$ & $\sqrt{1/2}$ \\
$8$ & $0$ & $-1$ & $2$ & $-1$ & $\sqrt{1/2}$ \\
$9$ & $0$ & $0$ & $0$ & $0$ & $-\sqrt{1/3}$ \\
$10$ & $0$ & $0$ & $2$ & $0$ & $\sqrt{2/3}$ \\
$11$ & $0$ & $1$ & $1$ & $1$ & $-\sqrt{1/2}$ \\
$12$ & $0$ & $1$ & $2$ & $1$ & $\sqrt{1/2}$ \\
$13$ & $1$ & $-1$ & $0$ & $0$ & $\sqrt{1/3}$ \\
$14$ & $1$ & $-1$ & $1$ & $0$ & $\sqrt{1/2}$ \\
$15$ & $1$ & $-1$ & $2$ & $0$ & $\sqrt{1/6}$ \\
$16$ & $1$ & $0$ & $1$ & $1$ & $\sqrt{1/2}$ \\
$17$ & $1$ & $0$ & $2$ & $1$ & $\sqrt{1/2}$ \\
$18$ & $1$ & $1$ & $2$ & $2$ & $1$ \\
\hline
\end{tabular}
\end{center}
\end{table}
\begin{table}
\tiny
\caption{$[j_1 \otimes j_2 = 3/2 \otimes 1/2]$}
\begin{center}
\begin{tabular}{|c|c|c|c|c|c|}
\hline
& $m_1$ & $m_2$ & $J$ & $M$ & $\langle j_1 j_2 m_1 m_2 | j_1 j_2 J M \rangle$ \\
\hline
$1$ & $-3/2$ & $-1/2$ & $2$ & $-2$ & $1$ \\
$2$ & $-3/2$ & $1/2$ & $1$ & $-1$ & $-\sqrt{3/4}$ \\
$3$ & $-3/2$ & $1/2$ & $2$ & $-1$ & $\sqrt{1/4}$ \\
$4$ & $-1/2$ & $-1/2$ & $1$ & $-1$ & $\sqrt{1/4}$ \\
$5$ & $-1/2$ & $-1/2$ & $2$ & $-1$ & $\sqrt{3/4}$ \\
$6$ & $-1/2$ & $1/2$ & $1$ & $0$ & $-\sqrt{1/2}$ \\
$7$ & $-1/2$ & $1/2$ & $2$ & $0$ & $\sqrt{1/2}$ \\
$8$ & $1/2$ & $-1/2$ & $1$ & $0$ & $\sqrt{1/2}$ \\
$9$ & $1/2$ & $-1/2$ & $2$ & $0$ & $\sqrt{1/2}$ \\
$10$ & $1/2$ & $1/2$ & $1$ & $1$ & $-\sqrt{1/4}$ \\
$11$ & $1/2$ & $1/2$ & $2$ & $1$ & $\sqrt{3/4}$ \\
$12$ & $3/2$ & $-1/2$ & $1$ & $1$ & $\sqrt{3/4}$ \\
$13$ & $3/2$ & $-1/2$ & $2$ & $1$ & $\sqrt{1/4}$ \\
$14$ & $3/2$ & $1/2$ & $2$ & $2$ & $1$ \\
\hline
\end{tabular}
\end{center}
\end{table}
\begin{table}
\tiny
\caption{$[j_1 \otimes j_2 = 3/2 \otimes 1]$}
\begin{center}
\begin{tabular}{|c|c|c|c|c|c|}
\hline
& $m_1$ & $m_2$ & $J$ & $M$ & $\langle j_1 j_2 m_1 m_2 | j_1 j_2 J M \rangle$ \\
\hline
$1$ & $-3/2$ & $-1$ & $5/2$ & $-5/2$ & $1$ \\
$2$ & $-3/2$ & $0$ & $3/2$ & $-3/2$ & $-\sqrt{3/5}$ \\
$3$ & $-3/2$ & $0$ & $5/2$ & $-3/2$ & $\sqrt{2/5}$ \\
$4$ & $-3/2$ & $1$ & $1/2$ & $-1/2$ & $\sqrt{1/2}$ \\
$5$ & $-3/2$ & $1$ & $3/2$ & $-1/2$ & $-\sqrt{2/5}$ \\
$6$ & $-3/2$ & $1$ & $5/2$ & $-1/2$ & $\sqrt{1/10}$ \\
$7$ & $-1/2$ & $-1$ & $3/2$ & $-3/2$ & $\sqrt{2/5}$ \\
$8$ & $-1/2$ & $-1$ & $5/2$ & $-3/2$ & $\sqrt{3/5}$ \\
$9$ & $-1/2$ & $0$ & $1/2$ & $-1/2$ & $-\sqrt{1/3}$ \\
$10$ & $-1/2$ & $0$ & $3/2$ & $-1/2$ & $-\sqrt{1/15}$ \\
$11$ & $-1/2$ & $0$ & $5/2$ & $-1/2$ & $\sqrt{3/5}$ \\
$12$ & $-1/2$ & $1$ & $1/2$ & $1/2$ & $\sqrt{1/6}$ \\
$13$ & $-1/2$ & $1$ & $3/2$ & $1/2$ & $-\sqrt{8/15}$ \\
$14$ & $-1/2$ & $1$ & $5/2$ & $1/2$ & $\sqrt{3/10}$ \\
$15$ & $1/2$ & $-1$ & $1/2$ & $-1/2$ & $\sqrt{1/6}$ \\
$16$ & $1/2$ & $-1$ & $3/2$ & $-1/2$ & $\sqrt{8/15}$ \\
$17$ & $1/2$ & $-1$ & $5/2$ & $-1/2$ & $\sqrt{3/10}$ \\
$18$ & $1/2$ & $0$ & $1/2$ & $1/2$ & $-\sqrt{1/3}$ \\
$19$ & $1/2$ & $0$ & $3/2$ & $1/2$ & $\sqrt{1/15}$ \\
$20$ & $1/2$ & $0$ & $5/2$ & $1/2$ & $\sqrt{3/5}$ \\
$21$ & $1/2$ & $1$ & $3/2$ & $3/2$ & $-\sqrt{2/5}$ \\
$22$ & $1/2$ & $1$ & $5/2$ & $3/2$ & $\sqrt{3/5}$ \\
$23$ & $3/2$ & $-1$ & $1/2$ & $1/2$ & $\sqrt{1/2}$ \\
$24$ & $3/2$ & $-1$ & $3/2$ & $1/2$ & $\sqrt{2/5}$ \\
$25$ & $3/2$ & $-1$ & $5/2$ & $1/2$ & $\sqrt{1/10}$ \\
$26$ & $3/2$ & $0$ & $3/2$ & $3/2$ & $\sqrt{3/5}$ \\
$27$ & $3/2$ & $0$ & $5/2$ & $3/2$ & $\sqrt{2/5}$ \\
$28$ & $3/2$ & $1$ & $5/2$ & $5/2$ & $1$ \\
\hline
\end{tabular}
\end{center}
\end{table}
\begin{table}
\tiny
\caption{$[j_1 \otimes j_2 = 3/2 \otimes 3/2]$}
\begin{center}
\begin{tabular}{|c|c|c|c|c|c|}
\hline
& $m_1$ & $m_2$ & $J$ & $M$ & $\langle j_1 j_2 m_1 m_2 | j_1 j_2 J M \rangle$ \\
\hline
$1$ & $-3/2$ & $-3/2$ & $3$ & $-3$ & $1$ \\
$2$ & $-3/2$ & $-1/2$ & $2$ & $-2$ & $-\sqrt{1/2}$ \\
$3$ & $-3/2$ & $-1/2$ & $3$ & $-2$ & $\sqrt{1/2}$ \\
$4$ & $-3/2$ & $1/2$ & $1$ & $-1$ & $\sqrt{3/10}$ \\
$5$ & $-3/2$ & $1/2$ & $2$ & $-1$ & $-\sqrt{1/2}$ \\
$6$ & $-3/2$ & $1/2$ & $3$ & $-1$ & $\sqrt{1/5}$ \\
$7$ & $-3/2$ & $3/2$ & $0$ & $0$ & $-\sqrt{1/4}$ \\
$8$ & $-3/2$ & $3/2$ & $1$ & $0$ & $\sqrt{9/20}$ \\
$9$ & $-3/2$ & $3/2$ & $2$ & $0$ & $-\sqrt{1/4}$ \\
$10$ & $-3/2$ & $3/2$ & $3$ & $0$ & $\sqrt{1/20}$ \\
$11$ & $-1/2$ & $-3/2$ & $2$ & $-2$ & $\sqrt{1/2}$ \\
$12$ & $-1/2$ & $-3/2$ & $3$ & $-2$ & $\sqrt{1/2}$ \\
$13$ & $-1/2$ & $-1/2$ & $1$ & $-1$ & $-\sqrt{2/5}$ \\
$14$ & $-1/2$ & $-1/2$ & $3$ & $-1$ & $\sqrt{3/5}$ \\
$15$ & $-1/2$ & $1/2$ & $0$ & $0$ & $\sqrt{1/4}$ \\
$16$ & $-1/2$ & $1/2$ & $1$ & $0$ & $-\sqrt{1/20}$ \\
$17$ & $-1/2$ & $1/2$ & $2$ & $0$ & $-\sqrt{1/4}$ \\
$18$ & $-1/2$ & $1/2$ & $3$ & $0$ & $\sqrt{9/20}$ \\
$19$ & $-1/2$ & $3/2$ & $1$ & $1$ & $\sqrt{3/10}$ \\
$20$ & $-1/2$ & $3/2$ & $2$ & $1$ & $-\sqrt{1/2}$ \\
$21$ & $-1/2$ & $3/2$ & $3$ & $1$ & $\sqrt{1/5}$ \\
$22$ & $1/2$ & $-3/2$ & $1$ & $-1$ & $\sqrt{3/10}$ \\
$23$ & $1/2$ & $-3/2$ & $2$ & $-1$ & $\sqrt{1/2}$ \\
$24$ & $1/2$ & $-3/2$ & $3$ & $-1$ & $\sqrt{1/5}$ \\
$25$ & $1/2$ & $-1/2$ & $0$ & $0$ & $-\sqrt{1/4}$ \\
$26$ & $1/2$ & $-1/2$ & $1$ & $0$ & $-\sqrt{1/20}$ \\
$27$ & $1/2$ & $-1/2$ & $2$ & $0$ & $\sqrt{1/4}$ \\
$28$ & $1/2$ & $-1/2$ & $3$ & $0$ & $\sqrt{9/20}$ \\
$29$ & $1/2$ & $1/2$ & $1$ & $1$ & $-\sqrt{2/5}$ \\
$30$ & $1/2$ & $1/2$ & $3$ & $1$ & $\sqrt{3/5}$ \\
$31$ & $1/2$ & $3/2$ & $2$ & $2$ & $-\sqrt{1/2}$ \\
$32$ & $1/2$ & $3/2$ & $3$ & $2$ & $\sqrt{1/2}$ \\
$33$ & $3/2$ & $-3/2$ & $0$ & $0$ & $\sqrt{1/4}$ \\
$34$ & $3/2$ & $-3/2$ & $1$ & $0$ & $\sqrt{9/20}$ \\
$35$ & $3/2$ & $-3/2$ & $2$ & $0$ & $\sqrt{1/4}$ \\
$36$ & $3/2$ & $-3/2$ & $3$ & $0$ & $\sqrt{1/20}$ \\
$37$ & $3/2$ & $-1/2$ & $1$ & $1$ & $\sqrt{3/10}$ \\
$38$ & $3/2$ & $-1/2$ & $2$ & $1$ & $\sqrt{1/2}$ \\
$39$ & $3/2$ & $-1/2$ & $3$ & $1$ & $\sqrt{1/5}$ \\
$40$ & $3/2$ & $1/2$ & $2$ & $2$ & $\sqrt{1/2}$ \\
$41$ & $3/2$ & $1/2$ & $3$ & $2$ & $\sqrt{1/2}$ \\
$42$ & $3/2$ & $3/2$ & $3$ & $3$ & $1$ \\
\hline
\end{tabular}
\end{center}
\end{table}
\begin{table}
\tiny
\caption{$[j_1 \otimes j_2 = 2 \otimes 1/2]$}
\begin{center}
\begin{tabular}{|c|c|c|c|c|c|}
\hline
& $m_1$ & $m_2$ & $J$ & $M$ & $\langle j_1 j_2 m_1 m_2 | j_1 j_2 J M \rangle$ \\
\hline
$1$ & $-2$ & $-1/2$ & $5/2$ & $-5/2$ & $1$ \\
$2$ & $-2$ & $1/2$ & $3/2$ & $-3/2$ & $-\sqrt{4/5}$ \\
$3$ & $-2$ & $1/2$ & $5/2$ & $-3/2$ & $\sqrt{1/5}$ \\
$4$ & $-1$ & $-1/2$ & $3/2$ & $-3/2$ & $\sqrt{1/5}$ \\
$5$ & $-1$ & $-1/2$ & $5/2$ & $-3/2$ & $\sqrt{4/5}$ \\
$6$ & $-1$ & $1/2$ & $3/2$ & $-1/2$ & $-\sqrt{3/5}$ \\
$7$ & $-1$ & $1/2$ & $5/2$ & $-1/2$ & $\sqrt{2/5}$ \\
$8$ & $0$ & $-1/2$ & $3/2$ & $-1/2$ & $\sqrt{2/5}$ \\
$9$ & $0$ & $-1/2$ & $5/2$ & $-1/2$ & $\sqrt{3/5}$ \\
$10$ & $0$ & $1/2$ & $3/2$ & $1/2$ & $-\sqrt{2/5}$ \\
$11$ & $0$ & $1/2$ & $5/2$ & $1/2$ & $\sqrt{3/5}$ \\
$12$ & $1$ & $-1/2$ & $3/2$ & $1/2$ & $\sqrt{3/5}$ \\
$13$ & $1$ & $-1/2$ & $5/2$ & $1/2$ & $\sqrt{2/5}$ \\
$14$ & $1$ & $1/2$ & $3/2$ & $3/2$ & $-\sqrt{1/5}$ \\
$15$ & $1$ & $1/2$ & $5/2$ & $3/2$ & $\sqrt{4/5}$ \\
$16$ & $2$ & $-1/2$ & $3/2$ & $3/2$ & $\sqrt{4/5}$ \\
$17$ & $2$ & $-1/2$ & $5/2$ & $3/2$ & $\sqrt{1/5}$ \\
$18$ & $2$ & $1/2$ & $5/2$ & $5/2$ & $1$ \\
\hline
\end{tabular}
\end{center}
\end{table}
\begin{table}
\tiny
\caption{$[j_1 \otimes j_2 = 2 \otimes 1]$}
\begin{center}
\begin{tabular}{|c|c|c|c|c|c|}
\hline
& $m_1$ & $m_2$ & $J$ & $M$ & $\langle j_1 j_2 m_1 m_2 | j_1 j_2 J M \rangle$ \\
\hline
$1$ & $-2$ & $-1$ & $3$ & $-3$ & $1$ \\
$2$ & $-2$ & $0$ & $2$ & $-2$ & $-\sqrt{2/3}$ \\
$3$ & $-2$ & $0$ & $3$ & $-2$ & $\sqrt{1/3}$ \\
$4$ & $-2$ & $1$ & $1$ & $-1$ & $\sqrt{3/5}$ \\
$5$ & $-2$ & $1$ & $2$ & $-1$ & $-\sqrt{1/3}$ \\
$6$ & $-2$ & $1$ & $3$ & $-1$ & $\sqrt{1/15}$ \\
$7$ & $-1$ & $-1$ & $2$ & $-2$ & $\sqrt{1/3}$ \\
$8$ & $-1$ & $-1$ & $3$ & $-2$ & $\sqrt{2/3}$ \\
$9$ & $-1$ & $0$ & $1$ & $-1$ & $-\sqrt{3/10}$ \\
$10$ & $-1$ & $0$ & $2$ & $-1$ & $-\sqrt{1/6}$ \\
$11$ & $-1$ & $0$ & $3$ & $-1$ & $\sqrt{8/15}$ \\
$12$ & $-1$ & $1$ & $1$ & $0$ & $\sqrt{3/10}$ \\
$13$ & $-1$ & $1$ & $2$ & $0$ & $-\sqrt{1/2}$ \\
$14$ & $-1$ & $1$ & $3$ & $0$ & $\sqrt{1/5}$ \\
$15$ & $0$ & $-1$ & $1$ & $-1$ & $\sqrt{1/10}$ \\
$16$ & $0$ & $-1$ & $2$ & $-1$ & $\sqrt{1/2}$ \\
$17$ & $0$ & $-1$ & $3$ & $-1$ & $\sqrt{2/5}$ \\
$18$ & $0$ & $0$ & $1$ & $0$ & $-\sqrt{2/5}$ \\
$19$ & $0$ & $0$ & $3$ & $0$ & $\sqrt{3/5}$ \\
$20$ & $0$ & $1$ & $1$ & $1$ & $\sqrt{1/10}$ \\
$21$ & $0$ & $1$ & $2$ & $1$ & $-\sqrt{1/2}$ \\
$22$ & $0$ & $1$ & $3$ & $1$ & $\sqrt{2/5}$ \\
$23$ & $1$ & $-1$ & $1$ & $0$ & $\sqrt{3/10}$ \\
$24$ & $1$ & $-1$ & $2$ & $0$ & $\sqrt{1/2}$ \\
$25$ & $1$ & $-1$ & $3$ & $0$ & $\sqrt{1/5}$ \\
$26$ & $1$ & $0$ & $1$ & $1$ & $-\sqrt{3/10}$ \\
$27$ & $1$ & $0$ & $2$ & $1$ & $\sqrt{1/6}$ \\
$28$ & $1$ & $0$ & $3$ & $1$ & $\sqrt{8/15}$ \\
$29$ & $1$ & $1$ & $2$ & $2$ & $-\sqrt{1/3}$ \\
$30$ & $1$ & $1$ & $3$ & $2$ & $\sqrt{2/3}$ \\
$31$ & $2$ & $-1$ & $1$ & $1$ & $\sqrt{3/5}$ \\
$32$ & $2$ & $-1$ & $2$ & $1$ & $\sqrt{1/3}$ \\
$33$ & $2$ & $-1$ & $3$ & $1$ & $\sqrt{1/15}$ \\
$34$ & $2$ & $0$ & $2$ & $2$ & $\sqrt{2/3}$ \\
$35$ & $2$ & $0$ & $3$ & $2$ & $\sqrt{1/3}$ \\
$36$ & $2$ & $1$ & $3$ & $3$ & $1$ \\
\hline
\end{tabular}
\end{center}
\end{table}
\begin{table}
\tiny
\caption{$[j_1 \otimes j_2 = 2 \otimes 3/2]$}
\begin{center}
\begin{tabular}{|c|c|c|c|c|c|}
\hline
& $m_1$ & $m_2$ & $J$ & $M$ & $\langle j_1 j_2 m_1 m_2 | j_1 j_2 J M \rangle$ \\
\hline
$1$ & $-2$ & $-3/2$ & $7/2$ & $-7/2$ & $1$ \\
$2$ & $-2$ & $-1/2$ & $5/2$ & $-5/2$ & $-\sqrt{4/7}$ \\
$3$ & $-2$ & $-1/2$ & $7/2$ & $-5/2$ & $\sqrt{3/7}$ \\
$4$ & $-2$ & $1/2$ & $3/2$ & $-3/2$ & $\sqrt{2/5}$ \\
$5$ & $-2$ & $1/2$ & $5/2$ & $-3/2$ & $-\sqrt{16/35}$ \\
$6$ & $-2$ & $1/2$ & $7/2$ & $-3/2$ & $\sqrt{1/7}$ \\
$7$ & $-2$ & $3/2$ & $1/2$ & $-1/2$ & $-\sqrt{2/5}$ \\
$8$ & $-2$ & $3/2$ & $3/2$ & $-1/2$ & $\sqrt{2/5}$ \\
$9$ & $-2$ & $3/2$ & $5/2$ & $-1/2$ & $-\sqrt{6/35}$ \\
$10$ & $-2$ & $3/2$ & $7/2$ & $-1/2$ & $\sqrt{1/35}$ \\
$11$ & $-1$ & $-3/2$ & $5/2$ & $-5/2$ & $\sqrt{3/7}$ \\
$12$ & $-1$ & $-3/2$ & $7/2$ & $-5/2$ & $\sqrt{4/7}$ \\
$13$ & $-1$ & $-1/2$ & $3/2$ & $-3/2$ & $-\sqrt{2/5}$ \\
$14$ & $-1$ & $-1/2$ & $5/2$ & $-3/2$ & $-\sqrt{1/35}$ \\
$15$ & $-1$ & $-1/2$ & $7/2$ & $-3/2$ & $\sqrt{4/7}$ \\
$16$ & $-1$ & $1/2$ & $1/2$ & $-1/2$ & $\sqrt{3/10}$ \\
$17$ & $-1$ & $1/2$ & $5/2$ & $-1/2$ & $-\sqrt{5/14}$ \\
$18$ & $-1$ & $1/2$ & $7/2$ & $-1/2$ & $\sqrt{12/35}$ \\
$19$ & $-1$ & $3/2$ & $1/2$ & $1/2$ & $-\sqrt{1/10}$ \\
$20$ & $-1$ & $3/2$ & $3/2$ & $1/2$ & $\sqrt{2/5}$ \\
$21$ & $-1$ & $3/2$ & $5/2$ & $1/2$ & $-\sqrt{27/70}$ \\
$22$ & $-1$ & $3/2$ & $7/2$ & $1/2$ & $\sqrt{4/35}$ \\
$23$ & $0$ & $-3/2$ & $3/2$ & $-3/2$ & $\sqrt{1/5}$ \\
$24$ & $0$ & $-3/2$ & $5/2$ & $-3/2$ & $\sqrt{18/35}$ \\
$25$ & $0$ & $-3/2$ & $7/2$ & $-3/2$ & $\sqrt{2/7}$ \\
$26$ & $0$ & $-1/2$ & $1/2$ & $-1/2$ & $-\sqrt{1/5}$ \\
$27$ & $0$ & $-1/2$ & $3/2$ & $-1/2$ & $-\sqrt{1/5}$ \\
$28$ & $0$ & $-1/2$ & $5/2$ & $-1/2$ & $\sqrt{3/35}$ \\
$29$ & $0$ & $-1/2$ & $7/2$ & $-1/2$ & $\sqrt{18/35}$ \\
$30$ & $0$ & $1/2$ & $1/2$ & $1/2$ & $\sqrt{1/5}$ \\
$31$ & $0$ & $1/2$ & $3/2$ & $1/2$ & $-\sqrt{1/5}$ \\
$32$ & $0$ & $1/2$ & $5/2$ & $1/2$ & $-\sqrt{3/35}$ \\
$33$ & $0$ & $1/2$ & $7/2$ & $1/2$ & $\sqrt{18/35}$ \\
$34$ & $0$ & $3/2$ & $3/2$ & $3/2$ & $\sqrt{1/5}$ \\
$35$ & $0$ & $3/2$ & $5/2$ & $3/2$ & $-\sqrt{18/35}$ \\
$36$ & $0$ & $3/2$ & $7/2$ & $3/2$ & $\sqrt{2/7}$ \\
$37$ & $1$ & $-3/2$ & $1/2$ & $-1/2$ & $\sqrt{1/10}$ \\
$38$ & $1$ & $-3/2$ & $3/2$ & $-1/2$ & $\sqrt{2/5}$ \\
$39$ & $1$ & $-3/2$ & $5/2$ & $-1/2$ & $\sqrt{27/70}$ \\
$40$ & $1$ & $-3/2$ & $7/2$ & $-1/2$ & $\sqrt{4/35}$ \\
$41$ & $1$ & $-1/2$ & $1/2$ & $1/2$ & $-\sqrt{3/10}$ \\
$42$ & $1$ & $-1/2$ & $5/2$ & $1/2$ & $\sqrt{5/14}$ \\
$43$ & $1$ & $-1/2$ & $7/2$ & $1/2$ & $\sqrt{12/35}$ \\
$44$ & $1$ & $1/2$ & $3/2$ & $3/2$ & $-\sqrt{2/5}$ \\
$45$ & $1$ & $1/2$ & $5/2$ & $3/2$ & $\sqrt{1/35}$ \\
$46$ & $1$ & $1/2$ & $7/2$ & $3/2$ & $\sqrt{4/7}$ \\
$47$ & $1$ & $3/2$ & $5/2$ & $5/2$ & $-\sqrt{3/7}$ \\
$48$ & $1$ & $3/2$ & $7/2$ & $5/2$ & $\sqrt{4/7}$ \\
$49$ & $2$ & $-3/2$ & $1/2$ & $1/2$ & $\sqrt{2/5}$ \\
$50$ & $2$ & $-3/2$ & $3/2$ & $1/2$ & $\sqrt{2/5}$ \\
$51$ & $2$ & $-3/2$ & $5/2$ & $1/2$ & $\sqrt{6/35}$ \\
$52$ & $2$ & $-3/2$ & $7/2$ & $1/2$ & $\sqrt{1/35}$ \\
$53$ & $2$ & $-1/2$ & $3/2$ & $3/2$ & $\sqrt{2/5}$ \\
$54$ & $2$ & $-1/2$ & $5/2$ & $3/2$ & $\sqrt{16/35}$ \\
$55$ & $2$ & $-1/2$ & $7/2$ & $3/2$ & $\sqrt{1/7}$ \\
$56$ & $2$ & $1/2$ & $5/2$ & $5/2$ & $\sqrt{4/7}$ \\
$57$ & $2$ & $1/2$ & $7/2$ & $5/2$ & $\sqrt{3/7}$ \\
$58$ & $2$ & $3/2$ & $7/2$ & $7/2$ & $1$ \\
\hline
\end{tabular}
\end{center}
\end{table}
\begin{table}
\tiny
\caption{$[j_1 \otimes j_2 = 2 \otimes 2]$}
\begin{center}
\begin{tabular}{|c|c|c|c|c|c|}
\hline
& $m_1$ & $m_2$ & $J$ & $M$ & $\langle j_1 j_2 m_1 m_2 | j_1 j_2 J M \rangle$ \\
\hline
$1$ & $-2$ & $-2$ & $4$ & $-4$ & $1$ \\
$2$ & $-2$ & $-1$ & $3$ & $-3$ & $-\sqrt{1/2}$ \\
$3$ & $-2$ & $-1$ & $4$ & $-3$ & $\sqrt{1/2}$ \\
$4$ & $-2$ & $0$ & $2$ & $-2$ & $\sqrt{2/7}$ \\
$5$ & $-2$ & $0$ & $3$ & $-2$ & $-\sqrt{1/2}$ \\
$6$ & $-2$ & $0$ & $4$ & $-2$ & $\sqrt{3/14}$ \\
$7$ & $-2$ & $1$ & $1$ & $-1$ & $-\sqrt{1/5}$ \\
$8$ & $-2$ & $1$ & $2$ & $-1$ & $\sqrt{3/7}$ \\
$9$ & $-2$ & $1$ & $3$ & $-1$ & $-\sqrt{3/10}$ \\
$10$ & $-2$ & $1$ & $4$ & $-1$ & $\sqrt{1/14}$ \\
$11$ & $-2$ & $2$ & $0$ & $0$ & $\sqrt{1/5}$ \\
$12$ & $-2$ & $2$ & $1$ & $0$ & $-\sqrt{2/5}$ \\
$13$ & $-2$ & $2$ & $2$ & $0$ & $\sqrt{2/7}$ \\
$14$ & $-2$ & $2$ & $3$ & $0$ & $-\sqrt{1/10}$ \\
$15$ & $-2$ & $2$ & $4$ & $0$ & $\sqrt{1/70}$ \\
$16$ & $-1$ & $-2$ & $3$ & $-3$ & $\sqrt{1/2}$ \\
$17$ & $-1$ & $-2$ & $4$ & $-3$ & $\sqrt{1/2}$ \\
$18$ & $-1$ & $-1$ & $2$ & $-2$ & $-\sqrt{3/7}$ \\
$19$ & $-1$ & $-1$ & $4$ & $-2$ & $\sqrt{4/7}$ \\
$20$ & $-1$ & $0$ & $1$ & $-1$ & $\sqrt{3/10}$ \\
$21$ & $-1$ & $0$ & $2$ & $-1$ & $-\sqrt{1/14}$ \\
$22$ & $-1$ & $0$ & $3$ & $-1$ & $-\sqrt{1/5}$ \\
$23$ & $-1$ & $0$ & $4$ & $-1$ & $\sqrt{3/7}$ \\
$24$ & $-1$ & $1$ & $0$ & $0$ & $-\sqrt{1/5}$ \\
$25$ & $-1$ & $1$ & $1$ & $0$ & $\sqrt{1/10}$ \\
$26$ & $-1$ & $1$ & $2$ & $0$ & $\sqrt{1/14}$ \\
$27$ & $-1$ & $1$ & $3$ & $0$ & $-\sqrt{2/5}$ \\
$28$ & $-1$ & $1$ & $4$ & $0$ & $\sqrt{8/35}$ \\
$29$ & $-1$ & $2$ & $1$ & $1$ & $-\sqrt{1/5}$ \\
$30$ & $-1$ & $2$ & $2$ & $1$ & $\sqrt{3/7}$ \\
$31$ & $-1$ & $2$ & $3$ & $1$ & $-\sqrt{3/10}$ \\
$32$ & $-1$ & $2$ & $4$ & $1$ & $\sqrt{1/14}$ \\
$33$ & $0$ & $-2$ & $2$ & $-2$ & $\sqrt{2/7}$ \\
$34$ & $0$ & $-2$ & $3$ & $-2$ & $\sqrt{1/2}$ \\
$35$ & $0$ & $-2$ & $4$ & $-2$ & $\sqrt{3/14}$ \\
$36$ & $0$ & $-1$ & $1$ & $-1$ & $-\sqrt{3/10}$ \\
$37$ & $0$ & $-1$ & $2$ & $-1$ & $-\sqrt{1/14}$ \\
$38$ & $0$ & $-1$ & $3$ & $-1$ & $\sqrt{1/5}$ \\
$39$ & $0$ & $-1$ & $4$ & $-1$ & $\sqrt{3/7}$ \\
$40$ & $0$ & $0$ & $0$ & $0$ & $\sqrt{1/5}$ \\
$41$ & $0$ & $0$ & $2$ & $0$ & $-\sqrt{2/7}$ \\
$42$ & $0$ & $0$ & $4$ & $0$ & $\sqrt{18/35}$ \\
$43$ & $0$ & $1$ & $1$ & $1$ & $\sqrt{3/10}$ \\
$44$ & $0$ & $1$ & $2$ & $1$ & $-\sqrt{1/14}$ \\
$45$ & $0$ & $1$ & $3$ & $1$ & $-\sqrt{1/5}$ \\
$46$ & $0$ & $1$ & $4$ & $1$ & $\sqrt{3/7}$ \\
$47$ & $0$ & $2$ & $2$ & $2$ & $\sqrt{2/7}$ \\
$48$ & $0$ & $2$ & $3$ & $2$ & $-\sqrt{1/2}$ \\
$49$ & $0$ & $2$ & $4$ & $2$ & $\sqrt{3/14}$ \\
$50$ & $1$ & $-2$ & $1$ & $-1$ & $\sqrt{1/5}$ \\
$51$ & $1$ & $-2$ & $2$ & $-1$ & $\sqrt{3/7}$ \\
$52$ & $1$ & $-2$ & $3$ & $-1$ & $\sqrt{3/10}$ \\
$53$ & $1$ & $-2$ & $4$ & $-1$ & $\sqrt{1/14}$ \\
$54$ & $1$ & $-1$ & $0$ & $0$ & $-\sqrt{1/5}$ \\
$55$ & $1$ & $-1$ & $1$ & $0$ & $-\sqrt{1/10}$ \\
$56$ & $1$ & $-1$ & $2$ & $0$ & $\sqrt{1/14}$ \\
$57$ & $1$ & $-1$ & $3$ & $0$ & $\sqrt{2/5}$ \\
$58$ & $1$ & $-1$ & $4$ & $0$ & $\sqrt{8/35}$ \\
$59$ & $1$ & $0$ & $1$ & $1$ & $-\sqrt{3/10}$ \\
$60$ & $1$ & $0$ & $2$ & $1$ & $-\sqrt{1/14}$ \\
$61$ & $1$ & $0$ & $3$ & $1$ & $\sqrt{1/5}$ \\
$62$ & $1$ & $0$ & $4$ & $1$ & $\sqrt{3/7}$ \\
$63$ & $1$ & $1$ & $2$ & $2$ & $-\sqrt{3/7}$ \\
$64$ & $1$ & $1$ & $4$ & $2$ & $\sqrt{4/7}$ \\
$65$ & $1$ & $2$ & $3$ & $3$ & $-\sqrt{1/2}$ \\
$66$ & $1$ & $2$ & $4$ & $3$ & $\sqrt{1/2}$ \\
$67$ & $2$ & $-2$ & $0$ & $0$ & $\sqrt{1/5}$ \\
$68$ & $2$ & $-2$ & $1$ & $0$ & $\sqrt{2/5}$ \\
$69$ & $2$ & $-2$ & $2$ & $0$ & $\sqrt{2/7}$ \\
$70$ & $2$ & $-2$ & $3$ & $0$ & $\sqrt{1/10}$ \\
$71$ & $2$ & $-2$ & $4$ & $0$ & $\sqrt{1/70}$ \\
$72$ & $2$ & $-1$ & $1$ & $1$ & $\sqrt{1/5}$ \\
$73$ & $2$ & $-1$ & $2$ & $1$ & $\sqrt{3/7}$ \\
$74$ & $2$ & $-1$ & $3$ & $1$ & $\sqrt{3/10}$ \\
$75$ & $2$ & $-1$ & $4$ & $1$ & $\sqrt{1/14}$ \\
$76$ & $2$ & $0$ & $2$ & $2$ & $\sqrt{2/7}$ \\
$77$ & $2$ & $0$ & $3$ & $2$ & $\sqrt{1/2}$ \\
$78$ & $2$ & $0$ & $4$ & $2$ & $\sqrt{3/14}$ \\
$79$ & $2$ & $1$ & $3$ & $3$ & $\sqrt{1/2}$ \\
$80$ & $2$ & $1$ & $4$ & $3$ & $\sqrt{1/2}$ \\
$81$ & $2$ & $2$ & $4$ & $4$ & $1$ \\
\hline
\end{tabular}
\end{center}
\end{table}
\begin{table}
\tiny
\caption{$[j_1 \otimes j_2 = 5/2 \otimes 1/2]$}
\begin{center}
\begin{tabular}{|c|c|c|c|c|c|}
\hline
& $m_1$ & $m_2$ & $J$ & $M$ & $\langle j_1 j_2 m_1 m_2 | j_1 j_2 J M \rangle$ \\
\hline
$1$ & $-5/2$ & $-1/2$ & $3$ & $-3$ & $1$ \\
$2$ & $-5/2$ & $1/2$ & $2$ & $-2$ & $-\sqrt{5/6}$ \\
$3$ & $-5/2$ & $1/2$ & $3$ & $-2$ & $\sqrt{1/6}$ \\
$4$ & $-3/2$ & $-1/2$ & $2$ & $-2$ & $\sqrt{1/6}$ \\
$5$ & $-3/2$ & $-1/2$ & $3$ & $-2$ & $\sqrt{5/6}$ \\
$6$ & $-3/2$ & $1/2$ & $2$ & $-1$ & $-\sqrt{2/3}$ \\
$7$ & $-3/2$ & $1/2$ & $3$ & $-1$ & $\sqrt{1/3}$ \\
$8$ & $-1/2$ & $-1/2$ & $2$ & $-1$ & $\sqrt{1/3}$ \\
$9$ & $-1/2$ & $-1/2$ & $3$ & $-1$ & $\sqrt{2/3}$ \\
$10$ & $-1/2$ & $1/2$ & $2$ & $0$ & $-\sqrt{1/2}$ \\
$11$ & $-1/2$ & $1/2$ & $3$ & $0$ & $\sqrt{1/2}$ \\
$12$ & $1/2$ & $-1/2$ & $2$ & $0$ & $\sqrt{1/2}$ \\
$13$ & $1/2$ & $-1/2$ & $3$ & $0$ & $\sqrt{1/2}$ \\
$14$ & $1/2$ & $1/2$ & $2$ & $1$ & $-\sqrt{1/3}$ \\
$15$ & $1/2$ & $1/2$ & $3$ & $1$ & $\sqrt{2/3}$ \\
$16$ & $3/2$ & $-1/2$ & $2$ & $1$ & $\sqrt{2/3}$ \\
$17$ & $3/2$ & $-1/2$ & $3$ & $1$ & $\sqrt{1/3}$ \\
$18$ & $3/2$ & $1/2$ & $2$ & $2$ & $-\sqrt{1/6}$ \\
$19$ & $3/2$ & $1/2$ & $3$ & $2$ & $\sqrt{5/6}$ \\
$20$ & $5/2$ & $-1/2$ & $2$ & $2$ & $\sqrt{5/6}$ \\
$21$ & $5/2$ & $-1/2$ & $3$ & $2$ & $\sqrt{1/6}$ \\
$22$ & $5/2$ & $1/2$ & $3$ & $3$ & $1$ \\
\hline
\end{tabular}
\end{center}
\end{table}
\begin{table}
\tiny
\caption{$[j_1 \otimes j_2 = 5/2 \otimes 1]$}
\begin{center}
\begin{tabular}{|c|c|c|c|c|c|}
\hline
& $m_1$ & $m_2$ & $J$ & $M$ & $\langle j_1 j_2 m_1 m_2 | j_1 j_2 J M \rangle$ \\
\hline
$1$ & $-5/2$ & $-1$ & $7/2$ & $-7/2$ & $1$ \\
$2$ & $-5/2$ & $0$ & $5/2$ & $-5/2$ & $-\sqrt{5/7}$ \\
$3$ & $-5/2$ & $0$ & $7/2$ & $-5/2$ & $\sqrt{2/7}$ \\
$4$ & $-5/2$ & $1$ & $3/2$ & $-3/2$ & $\sqrt{2/3}$ \\
$5$ & $-5/2$ & $1$ & $5/2$ & $-3/2$ & $-\sqrt{2/7}$ \\
$6$ & $-5/2$ & $1$ & $7/2$ & $-3/2$ & $\sqrt{1/21}$ \\
$7$ & $-3/2$ & $-1$ & $5/2$ & $-5/2$ & $\sqrt{2/7}$ \\
$8$ & $-3/2$ & $-1$ & $7/2$ & $-5/2$ & $\sqrt{5/7}$ \\
$9$ & $-3/2$ & $0$ & $3/2$ & $-3/2$ & $-\sqrt{4/15}$ \\
$10$ & $-3/2$ & $0$ & $5/2$ & $-3/2$ & $-\sqrt{9/35}$ \\
$11$ & $-3/2$ & $0$ & $7/2$ & $-3/2$ & $\sqrt{10/21}$ \\
$12$ & $-3/2$ & $1$ & $3/2$ & $-1/2$ & $\sqrt{2/5}$ \\
$13$ & $-3/2$ & $1$ & $5/2$ & $-1/2$ & $-\sqrt{16/35}$ \\
$14$ & $-3/2$ & $1$ & $7/2$ & $-1/2$ & $\sqrt{1/7}$ \\
$15$ & $-1/2$ & $-1$ & $3/2$ & $-3/2$ & $\sqrt{1/15}$ \\
$16$ & $-1/2$ & $-1$ & $5/2$ & $-3/2$ & $\sqrt{16/35}$ \\
$17$ & $-1/2$ & $-1$ & $7/2$ & $-3/2$ & $\sqrt{10/21}$ \\
$18$ & $-1/2$ & $0$ & $3/2$ & $-1/2$ & $-\sqrt{2/5}$ \\
$19$ & $-1/2$ & $0$ & $5/2$ & $-1/2$ & $-\sqrt{1/35}$ \\
$20$ & $-1/2$ & $0$ & $7/2$ & $-1/2$ & $\sqrt{4/7}$ \\
$21$ & $-1/2$ & $1$ & $3/2$ & $1/2$ & $\sqrt{1/5}$ \\
$22$ & $-1/2$ & $1$ & $5/2$ & $1/2$ & $-\sqrt{18/35}$ \\
$23$ & $-1/2$ & $1$ & $7/2$ & $1/2$ & $\sqrt{2/7}$ \\
$24$ & $1/2$ & $-1$ & $3/2$ & $-1/2$ & $\sqrt{1/5}$ \\
$25$ & $1/2$ & $-1$ & $5/2$ & $-1/2$ & $\sqrt{18/35}$ \\
$26$ & $1/2$ & $-1$ & $7/2$ & $-1/2$ & $\sqrt{2/7}$ \\
$27$ & $1/2$ & $0$ & $3/2$ & $1/2$ & $-\sqrt{2/5}$ \\
$28$ & $1/2$ & $0$ & $5/2$ & $1/2$ & $\sqrt{1/35}$ \\
$29$ & $1/2$ & $0$ & $7/2$ & $1/2$ & $\sqrt{4/7}$ \\
$30$ & $1/2$ & $1$ & $3/2$ & $3/2$ & $\sqrt{1/15}$ \\
$31$ & $1/2$ & $1$ & $5/2$ & $3/2$ & $-\sqrt{16/35}$ \\
$32$ & $1/2$ & $1$ & $7/2$ & $3/2$ & $\sqrt{10/21}$ \\
$33$ & $3/2$ & $-1$ & $3/2$ & $1/2$ & $\sqrt{2/5}$ \\
$34$ & $3/2$ & $-1$ & $5/2$ & $1/2$ & $\sqrt{16/35}$ \\
$35$ & $3/2$ & $-1$ & $7/2$ & $1/2$ & $\sqrt{1/7}$ \\
$36$ & $3/2$ & $0$ & $3/2$ & $3/2$ & $-\sqrt{4/15}$ \\
$37$ & $3/2$ & $0$ & $5/2$ & $3/2$ & $\sqrt{9/35}$ \\
$38$ & $3/2$ & $0$ & $7/2$ & $3/2$ & $\sqrt{10/21}$ \\
$39$ & $3/2$ & $1$ & $5/2$ & $5/2$ & $-\sqrt{2/7}$ \\
$40$ & $3/2$ & $1$ & $7/2$ & $5/2$ & $\sqrt{5/7}$ \\
$41$ & $5/2$ & $-1$ & $3/2$ & $3/2$ & $\sqrt{2/3}$ \\
$42$ & $5/2$ & $-1$ & $5/2$ & $3/2$ & $\sqrt{2/7}$ \\
$43$ & $5/2$ & $-1$ & $7/2$ & $3/2$ & $\sqrt{1/21}$ \\
$44$ & $5/2$ & $0$ & $5/2$ & $5/2$ & $\sqrt{5/7}$ \\
$45$ & $5/2$ & $0$ & $7/2$ & $5/2$ & $\sqrt{2/7}$ \\
$46$ & $5/2$ & $1$ & $7/2$ & $7/2$ & $1$ \\
\hline
\end{tabular}
\end{center}
\end{table}
\begin{table}
\tiny
\caption{$[j_1 \otimes j_2 = 5/2 \otimes 3/2]$}
\begin{center}
\begin{tabular}{|c|c|c|c|c|c|}
\hline
& $m_1$ & $m_2$ & $J$ & $M$ & $\langle j_1 j_2 m_1 m_2 | j_1 j_2 J M \rangle$ \\
\hline
$1$ & $-5/2$ & $-3/2$ & $4$ & $-4$ & $1$ \\
$2$ & $-5/2$ & $-1/2$ & $3$ & $-3$ & $-\sqrt{5/8}$ \\
$3$ & $-5/2$ & $-1/2$ & $4$ & $-3$ & $\sqrt{3/8}$ \\
$4$ & $-5/2$ & $1/2$ & $2$ & $-2$ & $\sqrt{10/21}$ \\
$5$ & $-5/2$ & $1/2$ & $3$ & $-2$ & $-\sqrt{5/12}$ \\
$6$ & $-5/2$ & $1/2$ & $4$ & $-2$ & $\sqrt{3/28}$ \\
$7$ & $-5/2$ & $3/2$ & $1$ & $-1$ & $-\sqrt{1/2}$ \\
$8$ & $-5/2$ & $3/2$ & $2$ & $-1$ & $\sqrt{5/14}$ \\
$9$ & $-5/2$ & $3/2$ & $3$ & $-1$ & $-\sqrt{1/8}$ \\
$10$ & $-5/2$ & $3/2$ & $4$ & $-1$ & $\sqrt{1/56}$ \\
$11$ & $-3/2$ & $-3/2$ & $3$ & $-3$ & $\sqrt{3/8}$ \\
$12$ & $-3/2$ & $-3/2$ & $4$ & $-3$ & $\sqrt{5/8}$ \\
$13$ & $-3/2$ & $-1/2$ & $2$ & $-2$ & $-\sqrt{8/21}$ \\
$14$ & $-3/2$ & $-1/2$ & $3$ & $-2$ & $-\sqrt{1/12}$ \\
$15$ & $-3/2$ & $-1/2$ & $4$ & $-2$ & $\sqrt{15/28}$ \\
$16$ & $-3/2$ & $1/2$ & $1$ & $-1$ & $\sqrt{3/10}$ \\
$17$ & $-3/2$ & $1/2$ & $2$ & $-1$ & $\sqrt{1/42}$ \\
$18$ & $-3/2$ & $1/2$ & $3$ & $-1$ & $-\sqrt{49/120}$ \\
$19$ & $-3/2$ & $1/2$ & $4$ & $-1$ & $\sqrt{15/56}$ \\
$20$ & $-3/2$ & $3/2$ & $1$ & $0$ & $-\sqrt{1/5}$ \\
$21$ & $-3/2$ & $3/2$ & $2$ & $0$ & $\sqrt{3/7}$ \\
$22$ & $-3/2$ & $3/2$ & $3$ & $0$ & $-\sqrt{3/10}$ \\
$23$ & $-3/2$ & $3/2$ & $4$ & $0$ & $\sqrt{1/14}$ \\
$24$ & $-1/2$ & $-3/2$ & $2$ & $-2$ & $\sqrt{1/7}$ \\
$25$ & $-1/2$ & $-3/2$ & $3$ & $-2$ & $\sqrt{1/2}$ \\
$26$ & $-1/2$ & $-3/2$ & $4$ & $-2$ & $\sqrt{5/14}$ \\
$27$ & $-1/2$ & $-1/2$ & $1$ & $-1$ & $-\sqrt{3/20}$ \\
$28$ & $-1/2$ & $-1/2$ & $2$ & $-1$ & $-\sqrt{25/84}$ \\
$29$ & $-1/2$ & $-1/2$ & $3$ & $-1$ & $\sqrt{1/60}$ \\
$30$ & $-1/2$ & $-1/2$ & $4$ & $-1$ & $\sqrt{15/28}$ \\
$31$ & $-1/2$ & $1/2$ & $1$ & $0$ & $\sqrt{3/10}$ \\
$32$ & $-1/2$ & $1/2$ & $2$ & $0$ & $-\sqrt{1/14}$ \\
$33$ & $-1/2$ & $1/2$ & $3$ & $0$ & $-\sqrt{1/5}$ \\
$34$ & $-1/2$ & $1/2$ & $4$ & $0$ & $\sqrt{3/7}$ \\
$35$ & $-1/2$ & $3/2$ & $1$ & $1$ & $-\sqrt{1/20}$ \\
$36$ & $-1/2$ & $3/2$ & $2$ & $1$ & $\sqrt{9/28}$ \\
$37$ & $-1/2$ & $3/2$ & $3$ & $1$ & $-\sqrt{9/20}$ \\
$38$ & $-1/2$ & $3/2$ & $4$ & $1$ & $\sqrt{5/28}$ \\
$39$ & $1/2$ & $-3/2$ & $1$ & $-1$ & $\sqrt{1/20}$ \\
$40$ & $1/2$ & $-3/2$ & $2$ & $-1$ & $\sqrt{9/28}$ \\
$41$ & $1/2$ & $-3/2$ & $3$ & $-1$ & $\sqrt{9/20}$ \\
$42$ & $1/2$ & $-3/2$ & $4$ & $-1$ & $\sqrt{5/28}$ \\
$43$ & $1/2$ & $-1/2$ & $1$ & $0$ & $-\sqrt{3/10}$ \\
$44$ & $1/2$ & $-1/2$ & $2$ & $0$ & $-\sqrt{1/14}$ \\
$45$ & $1/2$ & $-1/2$ & $3$ & $0$ & $\sqrt{1/5}$ \\
$46$ & $1/2$ & $-1/2$ & $4$ & $0$ & $\sqrt{3/7}$ \\
$47$ & $1/2$ & $1/2$ & $1$ & $1$ & $\sqrt{3/20}$ \\
$48$ & $1/2$ & $1/2$ & $2$ & $1$ & $-\sqrt{25/84}$ \\
$49$ & $1/2$ & $1/2$ & $3$ & $1$ & $-\sqrt{1/60}$ \\
$50$ & $1/2$ & $1/2$ & $4$ & $1$ & $\sqrt{15/28}$ \\
$51$ & $1/2$ & $3/2$ & $2$ & $2$ & $\sqrt{1/7}$ \\
$52$ & $1/2$ & $3/2$ & $3$ & $2$ & $-\sqrt{1/2}$ \\
$53$ & $1/2$ & $3/2$ & $4$ & $2$ & $\sqrt{5/14}$ \\
$54$ & $3/2$ & $-3/2$ & $1$ & $0$ & $\sqrt{1/5}$ \\
$55$ & $3/2$ & $-3/2$ & $2$ & $0$ & $\sqrt{3/7}$ \\
$56$ & $3/2$ & $-3/2$ & $3$ & $0$ & $\sqrt{3/10}$ \\
$57$ & $3/2$ & $-3/2$ & $4$ & $0$ & $\sqrt{1/14}$ \\
$58$ & $3/2$ & $-1/2$ & $1$ & $1$ & $-\sqrt{3/10}$ \\
$59$ & $3/2$ & $-1/2$ & $2$ & $1$ & $\sqrt{1/42}$ \\
$60$ & $3/2$ & $-1/2$ & $3$ & $1$ & $\sqrt{49/120}$ \\
$61$ & $3/2$ & $-1/2$ & $4$ & $1$ & $\sqrt{15/56}$ \\
$62$ & $3/2$ & $1/2$ & $2$ & $2$ & $-\sqrt{8/21}$ \\
$63$ & $3/2$ & $1/2$ & $3$ & $2$ & $\sqrt{1/12}$ \\
$64$ & $3/2$ & $1/2$ & $4$ & $2$ & $\sqrt{15/28}$ \\
$65$ & $3/2$ & $3/2$ & $3$ & $3$ & $-\sqrt{3/8}$ \\
$66$ & $3/2$ & $3/2$ & $4$ & $3$ & $\sqrt{5/8}$ \\
$67$ & $5/2$ & $-3/2$ & $1$ & $1$ & $\sqrt{1/2}$ \\
$68$ & $5/2$ & $-3/2$ & $2$ & $1$ & $\sqrt{5/14}$ \\
$69$ & $5/2$ & $-3/2$ & $3$ & $1$ & $\sqrt{1/8}$ \\
$70$ & $5/2$ & $-3/2$ & $4$ & $1$ & $\sqrt{1/56}$ \\
$71$ & $5/2$ & $-1/2$ & $2$ & $2$ & $\sqrt{10/21}$ \\
$72$ & $5/2$ & $-1/2$ & $3$ & $2$ & $\sqrt{5/12}$ \\
$73$ & $5/2$ & $-1/2$ & $4$ & $2$ & $\sqrt{3/28}$ \\
$74$ & $5/2$ & $1/2$ & $3$ & $3$ & $\sqrt{5/8}$ \\
$75$ & $5/2$ & $1/2$ & $4$ & $3$ & $\sqrt{3/8}$ \\
$76$ & $5/2$ & $3/2$ & $4$ & $4$ & $1$ \\
\hline
\end{tabular}
\end{center}
\end{table}
\begin{table}
\tiny
\caption{$[j_1 \otimes j_2 = 5/2 \otimes 2]$}
\begin{center}
\begin{tabular}{|c|c|c|c|c|c|}
\hline
& $m_1$ & $m_2$ & $J$ & $M$ & $\langle j_1 j_2 m_1 m_2 | j_1 j_2 J M \rangle$ \\
\hline
$1$ & $-5/2$ & $-2$ & $9/2$ & $-9/2$ & $1$ \\
$2$ & $-5/2$ & $-1$ & $7/2$ & $-7/2$ & $-\sqrt{5/9}$ \\
$3$ & $-5/2$ & $-1$ & $9/2$ & $-7/2$ & $\sqrt{4/9}$ \\
$4$ & $-5/2$ & $0$ & $5/2$ & $-5/2$ & $\sqrt{5/14}$ \\
$5$ & $-5/2$ & $0$ & $7/2$ & $-5/2$ & $-\sqrt{10/21}$ \\
$6$ & $-5/2$ & $0$ & $9/2$ & $-5/2$ & $\sqrt{1/6}$ \\
$7$ & $-5/2$ & $1$ & $3/2$ & $-3/2$ & $-\sqrt{2/7}$ \\
$8$ & $-5/2$ & $1$ & $5/2$ & $-3/2$ & $\sqrt{3/7}$ \\
$9$ & $-5/2$ & $1$ & $7/2$ & $-3/2$ & $-\sqrt{5/21}$ \\
$10$ & $-5/2$ & $1$ & $9/2$ & $-3/2$ & $\sqrt{1/21}$ \\
$11$ & $-5/2$ & $2$ & $1/2$ & $-1/2$ & $\sqrt{1/3}$ \\
$12$ & $-5/2$ & $2$ & $3/2$ & $-1/2$ & $-\sqrt{8/21}$ \\
$13$ & $-5/2$ & $2$ & $5/2$ & $-1/2$ & $\sqrt{3/14}$ \\
$14$ & $-5/2$ & $2$ & $7/2$ & $-1/2$ & $-\sqrt{4/63}$ \\
$15$ & $-5/2$ & $2$ & $9/2$ & $-1/2$ & $\sqrt{1/126}$ \\
$16$ & $-3/2$ & $-2$ & $7/2$ & $-7/2$ & $\sqrt{4/9}$ \\
$17$ & $-3/2$ & $-2$ & $9/2$ & $-7/2$ & $\sqrt{5/9}$ \\
$18$ & $-3/2$ & $-1$ & $5/2$ & $-5/2$ & $-\sqrt{3/7}$ \\
$19$ & $-3/2$ & $-1$ & $7/2$ & $-5/2$ & $-\sqrt{1/63}$ \\
$20$ & $-3/2$ & $-1$ & $9/2$ & $-5/2$ & $\sqrt{5/9}$ \\
$21$ & $-3/2$ & $0$ & $3/2$ & $-3/2$ & $\sqrt{12/35}$ \\
$22$ & $-3/2$ & $0$ & $5/2$ & $-3/2$ & $-\sqrt{1/70}$ \\
$23$ & $-3/2$ & $0$ & $7/2$ & $-3/2$ & $-\sqrt{2/7}$ \\
$24$ & $-3/2$ & $0$ & $9/2$ & $-3/2$ & $\sqrt{5/14}$ \\
$25$ & $-3/2$ & $1$ & $1/2$ & $-1/2$ & $-\sqrt{4/15}$ \\
$26$ & $-3/2$ & $1$ & $3/2$ & $-1/2$ & $\sqrt{2/105}$ \\
$27$ & $-3/2$ & $1$ & $5/2$ & $-1/2$ & $\sqrt{6/35}$ \\
$28$ & $-3/2$ & $1$ & $7/2$ & $-1/2$ & $-\sqrt{121/315}$ \\
$29$ & $-3/2$ & $1$ & $9/2$ & $-1/2$ & $\sqrt{10/63}$ \\
$30$ & $-3/2$ & $2$ & $1/2$ & $1/2$ & $\sqrt{1/15}$ \\
$31$ & $-3/2$ & $2$ & $3/2$ & $1/2$ & $-\sqrt{32/105}$ \\
$32$ & $-3/2$ & $2$ & $5/2$ & $1/2$ & $\sqrt{27/70}$ \\
$33$ & $-3/2$ & $2$ & $7/2$ & $1/2$ & $-\sqrt{64/315}$ \\
$34$ & $-3/2$ & $2$ & $9/2$ & $1/2$ & $\sqrt{5/126}$ \\
$35$ & $-1/2$ & $-2$ & $5/2$ & $-5/2$ & $\sqrt{3/14}$ \\
$36$ & $-1/2$ & $-2$ & $7/2$ & $-5/2$ & $\sqrt{32/63}$ \\
$37$ & $-1/2$ & $-2$ & $9/2$ & $-5/2$ & $\sqrt{5/18}$ \\
$38$ & $-1/2$ & $-1$ & $3/2$ & $-3/2$ & $-\sqrt{9/35}$ \\
$39$ & $-1/2$ & $-1$ & $5/2$ & $-3/2$ & $-\sqrt{6/35}$ \\
$40$ & $-1/2$ & $-1$ & $7/2$ & $-3/2$ & $\sqrt{2/21}$ \\
$41$ & $-1/2$ & $-1$ & $9/2$ & $-3/2$ & $\sqrt{10/21}$ \\
$42$ & $-1/2$ & $0$ & $1/2$ & $-1/2$ & $\sqrt{1/5}$ \\
$43$ & $-1/2$ & $0$ & $3/2$ & $-1/2$ & $\sqrt{2/35}$ \\
$44$ & $-1/2$ & $0$ & $5/2$ & $-1/2$ & $-\sqrt{8/35}$ \\
$45$ & $-1/2$ & $0$ & $7/2$ & $-1/2$ & $-\sqrt{4/105}$ \\
$46$ & $-1/2$ & $0$ & $9/2$ & $-1/2$ & $\sqrt{10/21}$ \\
$47$ & $-1/2$ & $1$ & $1/2$ & $1/2$ & $-\sqrt{2/15}$ \\
$48$ & $-1/2$ & $1$ & $3/2$ & $1/2$ & $\sqrt{5/21}$ \\
$49$ & $-1/2$ & $1$ & $7/2$ & $1/2$ & $-\sqrt{14/45}$ \\
$50$ & $-1/2$ & $1$ & $9/2$ & $1/2$ & $\sqrt{20/63}$ \\
$51$ & $-1/2$ & $2$ & $3/2$ & $3/2$ & $-\sqrt{4/35}$ \\
$52$ & $-1/2$ & $2$ & $5/2$ & $3/2$ & $\sqrt{27/70}$ \\
$53$ & $-1/2$ & $2$ & $7/2$ & $3/2$ & $-\sqrt{8/21}$ \\
$54$ & $-1/2$ & $2$ & $9/2$ & $3/2$ & $\sqrt{5/42}$ \\
$55$ & $1/2$ & $-2$ & $3/2$ & $-3/2$ & $\sqrt{4/35}$ \\
$56$ & $1/2$ & $-2$ & $5/2$ & $-3/2$ & $\sqrt{27/70}$ \\
$57$ & $1/2$ & $-2$ & $7/2$ & $-3/2$ & $\sqrt{8/21}$ \\
$58$ & $1/2$ & $-2$ & $9/2$ & $-3/2$ & $\sqrt{5/42}$ \\
$59$ & $1/2$ & $-1$ & $1/2$ & $-1/2$ & $-\sqrt{2/15}$ \\
$60$ & $1/2$ & $-1$ & $3/2$ & $-1/2$ & $-\sqrt{5/21}$ \\
$61$ & $1/2$ & $-1$ & $7/2$ & $-1/2$ & $\sqrt{14/45}$ \\
$62$ & $1/2$ & $-1$ & $9/2$ & $-1/2$ & $\sqrt{20/63}$ \\
$63$ & $1/2$ & $0$ & $1/2$ & $1/2$ & $\sqrt{1/5}$ \\
$64$ & $1/2$ & $0$ & $3/2$ & $1/2$ & $-\sqrt{2/35}$ \\
$65$ & $1/2$ & $0$ & $5/2$ & $1/2$ & $-\sqrt{8/35}$ \\
$66$ & $1/2$ & $0$ & $7/2$ & $1/2$ & $\sqrt{4/105}$ \\
$67$ & $1/2$ & $0$ & $9/2$ & $1/2$ & $\sqrt{10/21}$ \\
$68$ & $1/2$ & $1$ & $3/2$ & $3/2$ & $\sqrt{9/35}$ \\
$69$ & $1/2$ & $1$ & $5/2$ & $3/2$ & $-\sqrt{6/35}$ \\
$70$ & $1/2$ & $1$ & $7/2$ & $3/2$ & $-\sqrt{2/21}$ \\
$71$ & $1/2$ & $1$ & $9/2$ & $3/2$ & $\sqrt{10/21}$ \\
$72$ & $1/2$ & $2$ & $5/2$ & $5/2$ & $\sqrt{3/14}$ \\
$73$ & $1/2$ & $2$ & $7/2$ & $5/2$ & $-\sqrt{32/63}$ \\
$74$ & $1/2$ & $2$ & $9/2$ & $5/2$ & $\sqrt{5/18}$ \\
$75$ & $3/2$ & $-2$ & $1/2$ & $-1/2$ & $\sqrt{1/15}$ \\
$76$ & $3/2$ & $-2$ & $3/2$ & $-1/2$ & $\sqrt{32/105}$ \\
$77$ & $3/2$ & $-2$ & $5/2$ & $-1/2$ & $\sqrt{27/70}$ \\
$78$ & $3/2$ & $-2$ & $7/2$ & $-1/2$ & $\sqrt{64/315}$ \\
$79$ & $3/2$ & $-2$ & $9/2$ & $-1/2$ & $\sqrt{5/126}$ \\
$80$ & $3/2$ & $-1$ & $1/2$ & $1/2$ & $-\sqrt{4/15}$ \\
$81$ & $3/2$ & $-1$ & $3/2$ & $1/2$ & $-\sqrt{2/105}$ \\
$82$ & $3/2$ & $-1$ & $5/2$ & $1/2$ & $\sqrt{6/35}$ \\
$83$ & $3/2$ & $-1$ & $7/2$ & $1/2$ & $\sqrt{121/315}$ \\
$84$ & $3/2$ & $-1$ & $9/2$ & $1/2$ & $\sqrt{10/63}$ \\
$85$ & $3/2$ & $0$ & $3/2$ & $3/2$ & $-\sqrt{12/35}$ \\
$86$ & $3/2$ & $0$ & $5/2$ & $3/2$ & $-\sqrt{1/70}$ \\
$87$ & $3/2$ & $0$ & $7/2$ & $3/2$ & $\sqrt{2/7}$ \\
$88$ & $3/2$ & $0$ & $9/2$ & $3/2$ & $\sqrt{5/14}$ \\
$89$ & $3/2$ & $1$ & $5/2$ & $5/2$ & $-\sqrt{3/7}$ \\
$90$ & $3/2$ & $1$ & $7/2$ & $5/2$ & $\sqrt{1/63}$ \\
$91$ & $3/2$ & $1$ & $9/2$ & $5/2$ & $\sqrt{5/9}$ \\
$92$ & $3/2$ & $2$ & $7/2$ & $7/2$ & $-\sqrt{4/9}$ \\
$93$ & $3/2$ & $2$ & $9/2$ & $7/2$ & $\sqrt{5/9}$ \\
$94$ & $5/2$ & $-2$ & $1/2$ & $1/2$ & $\sqrt{1/3}$ \\
$95$ & $5/2$ & $-2$ & $3/2$ & $1/2$ & $\sqrt{8/21}$ \\
$96$ & $5/2$ & $-2$ & $5/2$ & $1/2$ & $\sqrt{3/14}$ \\
$97$ & $5/2$ & $-2$ & $7/2$ & $1/2$ & $\sqrt{4/63}$ \\
$98$ & $5/2$ & $-2$ & $9/2$ & $1/2$ & $\sqrt{1/126}$ \\
$99$ & $5/2$ & $-1$ & $3/2$ & $3/2$ & $\sqrt{2/7}$ \\
$100$ & $5/2$ & $-1$ & $5/2$ & $3/2$ & $\sqrt{3/7}$ \\
$101$ & $5/2$ & $-1$ & $7/2$ & $3/2$ & $\sqrt{5/21}$ \\
$102$ & $5/2$ & $-1$ & $9/2$ & $3/2$ & $\sqrt{1/21}$ \\
$103$ & $5/2$ & $0$ & $5/2$ & $5/2$ & $\sqrt{5/14}$ \\
$104$ & $5/2$ & $0$ & $7/2$ & $5/2$ & $\sqrt{10/21}$ \\
$105$ & $5/2$ & $0$ & $9/2$ & $5/2$ & $\sqrt{1/6}$ \\
$106$ & $5/2$ & $1$ & $7/2$ & $7/2$ & $\sqrt{5/9}$ \\
$107$ & $5/2$ & $1$ & $9/2$ & $7/2$ & $\sqrt{4/9}$ \\
$108$ & $5/2$ & $2$ & $9/2$ & $9/2$ & $1$ \\
\hline
\end{tabular}
\end{center}
\end{table}
\begin{table}
\tiny
\caption{$[j_1 \otimes j_2 = 5/2 \otimes 5/2]$}
\begin{center}
\begin{tabular}{|c|c|c|c|c|c|}
\hline
& $m_1$ & $m_2$ & $J$ & $M$ & $\langle j_1 j_2 m_1 m_2 | j_1 j_2 J M \rangle$ \\
\hline
$1$ & $-5/2$ & $-5/2$ & $5$ & $-5$ & $1$ \\
$2$ & $-5/2$ & $-3/2$ & $4$ & $-4$ & $-\sqrt{1/2}$ \\
$3$ & $-5/2$ & $-3/2$ & $5$ & $-4$ & $\sqrt{1/2}$ \\
$4$ & $-5/2$ & $-1/2$ & $3$ & $-3$ & $\sqrt{5/18}$ \\
$5$ & $-5/2$ & $-1/2$ & $4$ & $-3$ & $-\sqrt{1/2}$ \\
$6$ & $-5/2$ & $-1/2$ & $5$ & $-3$ & $\sqrt{2/9}$ \\
$7$ & $-5/2$ & $1/2$ & $2$ & $-2$ & $-\sqrt{5/28}$ \\
$8$ & $-5/2$ & $1/2$ & $3$ & $-2$ & $\sqrt{5/12}$ \\
$9$ & $-5/2$ & $1/2$ & $4$ & $-2$ & $-\sqrt{9/28}$ \\
$10$ & $-5/2$ & $1/2$ & $5$ & $-2$ & $\sqrt{1/12}$ \\
$11$ & $-5/2$ & $3/2$ & $1$ & $-1$ & $\sqrt{1/7}$ \\
$12$ & $-5/2$ & $3/2$ & $2$ & $-1$ & $-\sqrt{5/14}$ \\
$13$ & $-5/2$ & $3/2$ & $3$ & $-1$ & $\sqrt{1/3}$ \\
$14$ & $-5/2$ & $3/2$ & $4$ & $-1$ & $-\sqrt{1/7}$ \\
$15$ & $-5/2$ & $3/2$ & $5$ & $-1$ & $\sqrt{1/42}$ \\
$16$ & $-5/2$ & $5/2$ & $0$ & $0$ & $-\sqrt{1/6}$ \\
$17$ & $-5/2$ & $5/2$ & $1$ & $0$ & $\sqrt{5/14}$ \\
$18$ & $-5/2$ & $5/2$ & $2$ & $0$ & $-\sqrt{25/84}$ \\
$19$ & $-5/2$ & $5/2$ & $3$ & $0$ & $\sqrt{5/36}$ \\
$20$ & $-5/2$ & $5/2$ & $4$ & $0$ & $-\sqrt{1/28}$ \\
$21$ & $-5/2$ & $5/2$ & $5$ & $0$ & $\sqrt{1/252}$ \\
$22$ & $-3/2$ & $-5/2$ & $4$ & $-4$ & $\sqrt{1/2}$ \\
$23$ & $-3/2$ & $-5/2$ & $5$ & $-4$ & $\sqrt{1/2}$ \\
$24$ & $-3/2$ & $-3/2$ & $3$ & $-3$ & $-\sqrt{4/9}$ \\
$25$ & $-3/2$ & $-3/2$ & $5$ & $-3$ & $\sqrt{5/9}$ \\
$26$ & $-3/2$ & $-1/2$ & $2$ & $-2$ & $\sqrt{9/28}$ \\
$27$ & $-3/2$ & $-1/2$ & $3$ & $-2$ & $-\sqrt{1/12}$ \\
$28$ & $-3/2$ & $-1/2$ & $4$ & $-2$ & $-\sqrt{5/28}$ \\
$29$ & $-3/2$ & $-1/2$ & $5$ & $-2$ & $\sqrt{5/12}$ \\
$30$ & $-3/2$ & $1/2$ & $1$ & $-1$ & $-\sqrt{8/35}$ \\
$31$ & $-3/2$ & $1/2$ & $2$ & $-1$ & $\sqrt{1/7}$ \\
$32$ & $-3/2$ & $1/2$ & $3$ & $-1$ & $\sqrt{1/30}$ \\
$33$ & $-3/2$ & $1/2$ & $4$ & $-1$ & $-\sqrt{5/14}$ \\
$34$ & $-3/2$ & $1/2$ & $5$ & $-1$ & $\sqrt{5/21}$ \\
$35$ & $-3/2$ & $3/2$ & $0$ & $0$ & $\sqrt{1/6}$ \\
$36$ & $-3/2$ & $3/2$ & $1$ & $0$ & $-\sqrt{9/70}$ \\
$37$ & $-3/2$ & $3/2$ & $2$ & $0$ & $-\sqrt{1/84}$ \\
$38$ & $-3/2$ & $3/2$ & $3$ & $0$ & $\sqrt{49/180}$ \\
$39$ & $-3/2$ & $3/2$ & $4$ & $0$ & $-\sqrt{9/28}$ \\
$40$ & $-3/2$ & $3/2$ & $5$ & $0$ & $\sqrt{25/252}$ \\
$41$ & $-3/2$ & $5/2$ & $1$ & $1$ & $\sqrt{1/7}$ \\
$42$ & $-3/2$ & $5/2$ & $2$ & $1$ & $-\sqrt{5/14}$ \\
$43$ & $-3/2$ & $5/2$ & $3$ & $1$ & $\sqrt{1/3}$ \\
$44$ & $-3/2$ & $5/2$ & $4$ & $1$ & $-\sqrt{1/7}$ \\
$45$ & $-3/2$ & $5/2$ & $5$ & $1$ & $\sqrt{1/42}$ \\
$46$ & $-1/2$ & $-5/2$ & $3$ & $-3$ & $\sqrt{5/18}$ \\
$47$ & $-1/2$ & $-5/2$ & $4$ & $-3$ & $\sqrt{1/2}$ \\
$48$ & $-1/2$ & $-5/2$ & $5$ & $-3$ & $\sqrt{2/9}$ \\
$49$ & $-1/2$ & $-3/2$ & $2$ & $-2$ & $-\sqrt{9/28}$ \\
$50$ & $-1/2$ & $-3/2$ & $3$ & $-2$ & $-\sqrt{1/12}$ \\
$51$ & $-1/2$ & $-3/2$ & $4$ & $-2$ & $\sqrt{5/28}$ \\
$52$ & $-1/2$ & $-3/2$ & $5$ & $-2$ & $\sqrt{5/12}$ \\
$53$ & $-1/2$ & $-1/2$ & $1$ & $-1$ & $\sqrt{9/35}$ \\
$54$ & $-1/2$ & $-1/2$ & $3$ & $-1$ & $-\sqrt{4/15}$ \\
$55$ & $-1/2$ & $-1/2$ & $5$ & $-1$ & $\sqrt{10/21}$ \\
$56$ & $-1/2$ & $1/2$ & $0$ & $0$ & $-\sqrt{1/6}$ \\
$57$ & $-1/2$ & $1/2$ & $1$ & $0$ & $\sqrt{1/70}$ \\
$58$ & $-1/2$ & $1/2$ & $2$ & $0$ & $\sqrt{4/21}$ \\
$59$ & $-1/2$ & $1/2$ & $3$ & $0$ & $-\sqrt{4/45}$ \\
$60$ & $-1/2$ & $1/2$ & $4$ & $0$ & $-\sqrt{1/7}$ \\
$61$ & $-1/2$ & $1/2$ & $5$ & $0$ & $\sqrt{25/63}$ \\
$62$ & $-1/2$ & $3/2$ & $1$ & $1$ & $-\sqrt{8/35}$ \\
$63$ & $-1/2$ & $3/2$ & $2$ & $1$ & $\sqrt{1/7}$ \\
$64$ & $-1/2$ & $3/2$ & $3$ & $1$ & $\sqrt{1/30}$ \\
$65$ & $-1/2$ & $3/2$ & $4$ & $1$ & $-\sqrt{5/14}$ \\
$66$ & $-1/2$ & $3/2$ & $5$ & $1$ & $\sqrt{5/21}$ \\
$67$ & $-1/2$ & $5/2$ & $2$ & $2$ & $-\sqrt{5/28}$ \\
$68$ & $-1/2$ & $5/2$ & $3$ & $2$ & $\sqrt{5/12}$ \\
$69$ & $-1/2$ & $5/2$ & $4$ & $2$ & $-\sqrt{9/28}$ \\
$70$ & $-1/2$ & $5/2$ & $5$ & $2$ & $\sqrt{1/12}$ \\
$71$ & $1/2$ & $-5/2$ & $2$ & $-2$ & $\sqrt{5/28}$ \\
$72$ & $1/2$ & $-5/2$ & $3$ & $-2$ & $\sqrt{5/12}$ \\
$73$ & $1/2$ & $-5/2$ & $4$ & $-2$ & $\sqrt{9/28}$ \\
$74$ & $1/2$ & $-5/2$ & $5$ & $-2$ & $\sqrt{1/12}$ \\
$75$ & $1/2$ & $-3/2$ & $1$ & $-1$ & $-\sqrt{8/35}$ \\
$76$ & $1/2$ & $-3/2$ & $2$ & $-1$ & $-\sqrt{1/7}$ \\
$77$ & $1/2$ & $-3/2$ & $3$ & $-1$ & $\sqrt{1/30}$ \\
$78$ & $1/2$ & $-3/2$ & $4$ & $-1$ & $\sqrt{5/14}$ \\
$79$ & $1/2$ & $-3/2$ & $5$ & $-1$ & $\sqrt{5/21}$ \\
$80$ & $1/2$ & $-1/2$ & $0$ & $0$ & $\sqrt{1/6}$ \\
$81$ & $1/2$ & $-1/2$ & $1$ & $0$ & $\sqrt{1/70}$ \\
$82$ & $1/2$ & $-1/2$ & $2$ & $0$ & $-\sqrt{4/21}$ \\
$83$ & $1/2$ & $-1/2$ & $3$ & $0$ & $-\sqrt{4/45}$ \\
$84$ & $1/2$ & $-1/2$ & $4$ & $0$ & $\sqrt{1/7}$ \\
$85$ & $1/2$ & $-1/2$ & $5$ & $0$ & $\sqrt{25/63}$ \\
$86$ & $1/2$ & $1/2$ & $1$ & $1$ & $\sqrt{9/35}$ \\
$87$ & $1/2$ & $1/2$ & $3$ & $1$ & $-\sqrt{4/15}$ \\
$88$ & $1/2$ & $1/2$ & $5$ & $1$ & $\sqrt{10/21}$ \\
$89$ & $1/2$ & $3/2$ & $2$ & $2$ & $\sqrt{9/28}$ \\
$90$ & $1/2$ & $3/2$ & $3$ & $2$ & $-\sqrt{1/12}$ \\
$91$ & $1/2$ & $3/2$ & $4$ & $2$ & $-\sqrt{5/28}$ \\
$92$ & $1/2$ & $3/2$ & $5$ & $2$ & $\sqrt{5/12}$ \\
$93$ & $1/2$ & $5/2$ & $3$ & $3$ & $\sqrt{5/18}$ \\
$94$ & $1/2$ & $5/2$ & $4$ & $3$ & $-\sqrt{1/2}$ \\
$95$ & $1/2$ & $5/2$ & $5$ & $3$ & $\sqrt{2/9}$ \\
$96$ & $3/2$ & $-5/2$ & $1$ & $-1$ & $\sqrt{1/7}$ \\
$97$ & $3/2$ & $-5/2$ & $2$ & $-1$ & $\sqrt{5/14}$ \\
$98$ & $3/2$ & $-5/2$ & $3$ & $-1$ & $\sqrt{1/3}$ \\
$99$ & $3/2$ & $-5/2$ & $4$ & $-1$ & $\sqrt{1/7}$ \\
$100$ & $3/2$ & $-5/2$ & $5$ & $-1$ & $\sqrt{1/42}$ \\
$101$ & $3/2$ & $-3/2$ & $0$ & $0$ & $-\sqrt{1/6}$ \\
$102$ & $3/2$ & $-3/2$ & $1$ & $0$ & $-\sqrt{9/70}$ \\
$103$ & $3/2$ & $-3/2$ & $2$ & $0$ & $\sqrt{1/84}$ \\
$104$ & $3/2$ & $-3/2$ & $3$ & $0$ & $\sqrt{49/180}$ \\
$105$ & $3/2$ & $-3/2$ & $4$ & $0$ & $\sqrt{9/28}$ \\
$106$ & $3/2$ & $-3/2$ & $5$ & $0$ & $\sqrt{25/252}$ \\
$107$ & $3/2$ & $-1/2$ & $1$ & $1$ & $-\sqrt{8/35}$ \\
$108$ & $3/2$ & $-1/2$ & $2$ & $1$ & $-\sqrt{1/7}$ \\
$109$ & $3/2$ & $-1/2$ & $3$ & $1$ & $\sqrt{1/30}$ \\
$110$ & $3/2$ & $-1/2$ & $4$ & $1$ & $\sqrt{5/14}$ \\
$111$ & $3/2$ & $-1/2$ & $5$ & $1$ & $\sqrt{5/21}$ \\
$112$ & $3/2$ & $1/2$ & $2$ & $2$ & $-\sqrt{9/28}$ \\
$113$ & $3/2$ & $1/2$ & $3$ & $2$ & $-\sqrt{1/12}$ \\
$114$ & $3/2$ & $1/2$ & $4$ & $2$ & $\sqrt{5/28}$ \\
$115$ & $3/2$ & $1/2$ & $5$ & $2$ & $\sqrt{5/12}$ \\
$116$ & $3/2$ & $3/2$ & $3$ & $3$ & $-\sqrt{4/9}$ \\
$117$ & $3/2$ & $3/2$ & $5$ & $3$ & $\sqrt{5/9}$ \\
$118$ & $3/2$ & $5/2$ & $4$ & $4$ & $-\sqrt{1/2}$ \\
$119$ & $3/2$ & $5/2$ & $5$ & $4$ & $\sqrt{1/2}$ \\
$120$ & $5/2$ & $-5/2$ & $0$ & $0$ & $\sqrt{1/6}$ \\
$121$ & $5/2$ & $-5/2$ & $1$ & $0$ & $\sqrt{5/14}$ \\
$122$ & $5/2$ & $-5/2$ & $2$ & $0$ & $\sqrt{25/84}$ \\
$123$ & $5/2$ & $-5/2$ & $3$ & $0$ & $\sqrt{5/36}$ \\
$124$ & $5/2$ & $-5/2$ & $4$ & $0$ & $\sqrt{1/28}$ \\
$125$ & $5/2$ & $-5/2$ & $5$ & $0$ & $\sqrt{1/252}$ \\
$126$ & $5/2$ & $-3/2$ & $1$ & $1$ & $\sqrt{1/7}$ \\
$127$ & $5/2$ & $-3/2$ & $2$ & $1$ & $\sqrt{5/14}$ \\
$128$ & $5/2$ & $-3/2$ & $3$ & $1$ & $\sqrt{1/3}$ \\
$129$ & $5/2$ & $-3/2$ & $4$ & $1$ & $\sqrt{1/7}$ \\
$130$ & $5/2$ & $-3/2$ & $5$ & $1$ & $\sqrt{1/42}$ \\
$131$ & $5/2$ & $-1/2$ & $2$ & $2$ & $\sqrt{5/28}$ \\
$132$ & $5/2$ & $-1/2$ & $3$ & $2$ & $\sqrt{5/12}$ \\
$133$ & $5/2$ & $-1/2$ & $4$ & $2$ & $\sqrt{9/28}$ \\
$134$ & $5/2$ & $-1/2$ & $5$ & $2$ & $\sqrt{1/12}$ \\
$135$ & $5/2$ & $1/2$ & $3$ & $3$ & $\sqrt{5/18}$ \\
$136$ & $5/2$ & $1/2$ & $4$ & $3$ & $\sqrt{1/2}$ \\
$137$ & $5/2$ & $1/2$ & $5$ & $3$ & $\sqrt{2/9}$ \\
$138$ & $5/2$ & $3/2$ & $4$ & $4$ & $\sqrt{1/2}$ \\
$139$ & $5/2$ & $3/2$ & $5$ & $4$ & $\sqrt{1/2}$ \\
$140$ & $5/2$ & $5/2$ & $5$ & $5$ & $1$ \\
\hline
\end{tabular}
\end{center}
\end{table}
\begin{table}
\tiny
\caption{$[j_1 \otimes j_2 = 3 \otimes 1/2]$}
\begin{center}
\begin{tabular}{|c|c|c|c|c|c|}
\hline
& $m_1$ & $m_2$ & $J$ & $M$ & $\langle j_1 j_2 m_1 m_2 | j_1 j_2 J M \rangle$ \\
\hline
$1$ & $-3$ & $-1/2$ & $7/2$ & $-7/2$ & $1$ \\
$2$ & $-3$ & $1/2$ & $5/2$ & $-5/2$ & $-\sqrt{6/7}$ \\
$3$ & $-3$ & $1/2$ & $7/2$ & $-5/2$ & $\sqrt{1/7}$ \\
$4$ & $-2$ & $-1/2$ & $5/2$ & $-5/2$ & $\sqrt{1/7}$ \\
$5$ & $-2$ & $-1/2$ & $7/2$ & $-5/2$ & $\sqrt{6/7}$ \\
$6$ & $-2$ & $1/2$ & $5/2$ & $-3/2$ & $-\sqrt{5/7}$ \\
$7$ & $-2$ & $1/2$ & $7/2$ & $-3/2$ & $\sqrt{2/7}$ \\
$8$ & $-1$ & $-1/2$ & $5/2$ & $-3/2$ & $\sqrt{2/7}$ \\
$9$ & $-1$ & $-1/2$ & $7/2$ & $-3/2$ & $\sqrt{5/7}$ \\
$10$ & $-1$ & $1/2$ & $5/2$ & $-1/2$ & $-\sqrt{4/7}$ \\
$11$ & $-1$ & $1/2$ & $7/2$ & $-1/2$ & $\sqrt{3/7}$ \\
$12$ & $0$ & $-1/2$ & $5/2$ & $-1/2$ & $\sqrt{3/7}$ \\
$13$ & $0$ & $-1/2$ & $7/2$ & $-1/2$ & $\sqrt{4/7}$ \\
$14$ & $0$ & $1/2$ & $5/2$ & $1/2$ & $-\sqrt{3/7}$ \\
$15$ & $0$ & $1/2$ & $7/2$ & $1/2$ & $\sqrt{4/7}$ \\
$16$ & $1$ & $-1/2$ & $5/2$ & $1/2$ & $\sqrt{4/7}$ \\
$17$ & $1$ & $-1/2$ & $7/2$ & $1/2$ & $\sqrt{3/7}$ \\
$18$ & $1$ & $1/2$ & $5/2$ & $3/2$ & $-\sqrt{2/7}$ \\
$19$ & $1$ & $1/2$ & $7/2$ & $3/2$ & $\sqrt{5/7}$ \\
$20$ & $2$ & $-1/2$ & $5/2$ & $3/2$ & $\sqrt{5/7}$ \\
$21$ & $2$ & $-1/2$ & $7/2$ & $3/2$ & $\sqrt{2/7}$ \\
$22$ & $2$ & $1/2$ & $5/2$ & $5/2$ & $-\sqrt{1/7}$ \\
$23$ & $2$ & $1/2$ & $7/2$ & $5/2$ & $\sqrt{6/7}$ \\
$24$ & $3$ & $-1/2$ & $5/2$ & $5/2$ & $\sqrt{6/7}$ \\
$25$ & $3$ & $-1/2$ & $7/2$ & $5/2$ & $\sqrt{1/7}$ \\
$26$ & $3$ & $1/2$ & $7/2$ & $7/2$ & $1$ \\
\hline
\end{tabular}
\end{center}
\end{table}
\begin{table}
\tiny
\caption{$[j_1 \otimes j_2 = 3 \otimes 1]$}
\begin{center}
\begin{tabular}{|c|c|c|c|c|c|}
\hline
& $m_1$ & $m_2$ & $J$ & $M$ & $\langle j_1 j_2 m_1 m_2 | j_1 j_2 J M \rangle$ \\
\hline
$1$ & $-3$ & $-1$ & $4$ & $-4$ & $1$ \\
$2$ & $-3$ & $0$ & $3$ & $-3$ & $-\sqrt{3/4}$ \\
$3$ & $-3$ & $0$ & $4$ & $-3$ & $\sqrt{1/4}$ \\
$4$ & $-3$ & $1$ & $2$ & $-2$ & $\sqrt{5/7}$ \\
$5$ & $-3$ & $1$ & $3$ & $-2$ & $-\sqrt{1/4}$ \\
$6$ & $-3$ & $1$ & $4$ & $-2$ & $\sqrt{1/28}$ \\
$7$ & $-2$ & $-1$ & $3$ & $-3$ & $\sqrt{1/4}$ \\
$8$ & $-2$ & $-1$ & $4$ & $-3$ & $\sqrt{3/4}$ \\
$9$ & $-2$ & $0$ & $2$ & $-2$ & $-\sqrt{5/21}$ \\
$10$ & $-2$ & $0$ & $3$ & $-2$ & $-\sqrt{1/3}$ \\
$11$ & $-2$ & $0$ & $4$ & $-2$ & $\sqrt{3/7}$ \\
$12$ & $-2$ & $1$ & $2$ & $-1$ & $\sqrt{10/21}$ \\
$13$ & $-2$ & $1$ & $3$ & $-1$ & $-\sqrt{5/12}$ \\
$14$ & $-2$ & $1$ & $4$ & $-1$ & $\sqrt{3/28}$ \\
$15$ & $-1$ & $-1$ & $2$ & $-2$ & $\sqrt{1/21}$ \\
$16$ & $-1$ & $-1$ & $3$ & $-2$ & $\sqrt{5/12}$ \\
$17$ & $-1$ & $-1$ & $4$ & $-2$ & $\sqrt{15/28}$ \\
$18$ & $-1$ & $0$ & $2$ & $-1$ & $-\sqrt{8/21}$ \\
$19$ & $-1$ & $0$ & $3$ & $-1$ & $-\sqrt{1/12}$ \\
$20$ & $-1$ & $0$ & $4$ & $-1$ & $\sqrt{15/28}$ \\
$21$ & $-1$ & $1$ & $2$ & $0$ & $\sqrt{2/7}$ \\
$22$ & $-1$ & $1$ & $3$ & $0$ & $-\sqrt{1/2}$ \\
$23$ & $-1$ & $1$ & $4$ & $0$ & $\sqrt{3/14}$ \\
$24$ & $0$ & $-1$ & $2$ & $-1$ & $\sqrt{1/7}$ \\
$25$ & $0$ & $-1$ & $3$ & $-1$ & $\sqrt{1/2}$ \\
$26$ & $0$ & $-1$ & $4$ & $-1$ & $\sqrt{5/14}$ \\
$27$ & $0$ & $0$ & $2$ & $0$ & $-\sqrt{3/7}$ \\
$28$ & $0$ & $0$ & $4$ & $0$ & $\sqrt{4/7}$ \\
$29$ & $0$ & $1$ & $2$ & $1$ & $\sqrt{1/7}$ \\
$30$ & $0$ & $1$ & $3$ & $1$ & $-\sqrt{1/2}$ \\
$31$ & $0$ & $1$ & $4$ & $1$ & $\sqrt{5/14}$ \\
$32$ & $1$ & $-1$ & $2$ & $0$ & $\sqrt{2/7}$ \\
$33$ & $1$ & $-1$ & $3$ & $0$ & $\sqrt{1/2}$ \\
$34$ & $1$ & $-1$ & $4$ & $0$ & $\sqrt{3/14}$ \\
$35$ & $1$ & $0$ & $2$ & $1$ & $-\sqrt{8/21}$ \\
$36$ & $1$ & $0$ & $3$ & $1$ & $\sqrt{1/12}$ \\
$37$ & $1$ & $0$ & $4$ & $1$ & $\sqrt{15/28}$ \\
$38$ & $1$ & $1$ & $2$ & $2$ & $\sqrt{1/21}$ \\
$39$ & $1$ & $1$ & $3$ & $2$ & $-\sqrt{5/12}$ \\
$40$ & $1$ & $1$ & $4$ & $2$ & $\sqrt{15/28}$ \\
$41$ & $2$ & $-1$ & $2$ & $1$ & $\sqrt{10/21}$ \\
$42$ & $2$ & $-1$ & $3$ & $1$ & $\sqrt{5/12}$ \\
$43$ & $2$ & $-1$ & $4$ & $1$ & $\sqrt{3/28}$ \\
$44$ & $2$ & $0$ & $2$ & $2$ & $-\sqrt{5/21}$ \\
$45$ & $2$ & $0$ & $3$ & $2$ & $\sqrt{1/3}$ \\
$46$ & $2$ & $0$ & $4$ & $2$ & $\sqrt{3/7}$ \\
$47$ & $2$ & $1$ & $3$ & $3$ & $-\sqrt{1/4}$ \\
$48$ & $2$ & $1$ & $4$ & $3$ & $\sqrt{3/4}$ \\
$49$ & $3$ & $-1$ & $2$ & $2$ & $\sqrt{5/7}$ \\
$50$ & $3$ & $-1$ & $3$ & $2$ & $\sqrt{1/4}$ \\
$51$ & $3$ & $-1$ & $4$ & $2$ & $\sqrt{1/28}$ \\
$52$ & $3$ & $0$ & $3$ & $3$ & $\sqrt{3/4}$ \\
$53$ & $3$ & $0$ & $4$ & $3$ & $\sqrt{1/4}$ \\
$54$ & $3$ & $1$ & $4$ & $4$ & $1$ \\