Answer
$n \geq 5$
$m_{\mathcal{l}}=-4,-3, -2,-1,0,1,2,3, 4$
$m_{s}=$$-\frac{1}{2},+\frac{1}{2}$
Work Step by Step
The possible values of $\mathcal{l}$ are from 0 to (n-1), so for $\mathcal{l}=4$ we need $n \geq 5$.
The values of $m_{\mathcal{l}}$ range from $-\mathcal{l}$ to $\mathcal{l}$. Thus, for $\mathcal{l}=4$, $m_{\mathcal{l}}=-4,-3, -2,-1,0,1,2,3, 4$.
Values of $m_{s}$ are $-\frac{1}{2},+\frac{1}{2}$.
