\(| J M j_1 j_2 \rangle =\sum\limits_{m_1 m_2} C \ | j_1 j_2 m_1 m_2 \rangle \)
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\(J\)
\(0\)
\(\frac{1}{2}\)
\(1\)
\(\frac{3}{2}\)
\(2\)
\(\frac{5}{2}\)
\(M\)
\(0\)
\(\frac{1}{2}\)
\(1\)
\(\frac{3}{2}\)
\(2\)
\(\pm\)
\(j_1\)
\(\frac{1}{2}\)
\(1\)
\(\frac{3}{2}\)
\(2\)
\(\frac{5}{2}\)
\(3\)
\(j_2\)
\(\frac{1}{2}\)
\(1\)
\(\frac{3}{2}\)
\(2\)
\(\frac{5}{2}\)
\(3\)
Calculate!