Construct the rotation matrix \(d_{m m^{\prime}}^{l}\) for \(l=1\). Check your results against the entries in Table C. 1 of Appendix C. Hint: You can save time by considering the product \(d^{1 / 2} \otimes d^{1 / 2}\) and using the expression for \(d^{1 / 2}\) already constructed in Eq. (6.33).