Each small group is assigned a spherical harmonic from the list below:

1. \(Y_1^1\)
2. \(Y_1^0\)
3. \(Y_1^{-1}\)
4. \(Y_2^1\)
5. \(Y_2^0\)
6. \(Y_2^{-1}\)

Using a tiny Argand diagram, represent the value of the spherical harmonic at:

• at the equator (\(\theta = \pi/2\)) for \(\phi = 0, \tfrac{\pi}{4}, \tfrac{\pi}{2}, \tfrac{3\pi}{4}, \pi, \tfrac{5\pi}{4}, \tfrac{3\pi}{2}, \tfrac{7\pi}{4}\)
• repeat for \(\theta = \tfrac{\pi}{6}, \tfrac{\pi}{3}, \tfrac{2\pi}{3}, \tfrac{5\pi}{6}\)

Tip: Make reference marks in black and draw the complex value of the spherical harmonic in a different color.