\[\varepsilon_{M}(\rho,\theta)=\begin{cases}\theta O\left(\rho^{-2M-(3/2)}\right%
),&c\rho^{-1}\leq\theta\leq\pi-\delta,\\
\theta^{\alpha+(5/2)}O\left(\rho^{-2M+\alpha}\right),&0\leq\theta\leq c\rho^{-%
1},\end{cases}\]