\begin{tikzpicture}
\begin{axis}[
axis equal,
axis lines*=middle,
enlargelimits = false, clip=true,
xmin=-1.39,
xmax=1.39,
ymin=-1.10,
ymax=1.10,
axis line style={->,>=stealth},
xlabel={$\mathrm{Re}\{z\}$},
ylabel={$\mathrm{Im}\{z\}$},
every axis x label/.style={
at={(ticklabel* cs:1)},
anchor=north,
},
every axis y label/.style={
at={(ticklabel* cs:1)},
anchor=south,
},
xmajorgrids,
ymajorgrids,
every outer y axis line/.append style={white!15!black},
every y tick label/.append style={font=\color{white!15!black}},
legend style={draw=white!15!black,fill=white,legend cell align=left}]
\draw (axis cs:0,0) circle [black!50, dashed, line width=2pt, radius=1];
\addplot [line width=1pt,mark=x, only marks, mark size = 3pt]
table[row sep=crcr]{
	0.24721 0.76085 \\
	0.24721 -0.76085 \\
	0.8177 0.48359 \\
	0.78573 0.53398 \\
	0.75065 0.58226 \\
	0.71261 0.62825 \\
	0.8177 0.48359 \\
	0.78573 0.53398 \\
	0.75065 0.58226 \\
	0.71261 0.62825 \\
	0.8177 -0.48359 \\
	0.78573 -0.53398 \\
	0.75065 -0.58226 \\
	0.71261 -0.62825 \\
	0.8177 -0.48359 \\
	0.78573 -0.53398 \\
	0.75065 -0.58226 \\
	0.71261 -0.62825 \\
};

\addplot [line width=1pt,mark=*, only marks, mark size = 3pt, mark options={fill=white}]
table[row sep=crcr]{
	-0.79284 0.57603 \\
	-0.79284 -0.57603 \\
	0.90604 -0.53583 \\
	0.87061 -0.59167 \\
	0.83174 -0.64517 \\
	0.78959 -0.69612 \\
	0.90604 -0.53583 \\
	0.87061 -0.59167 \\
	0.83174 -0.64517 \\
	0.78959 -0.69612 \\
	0.90604 0.53583 \\
	0.87061 0.59167 \\
	0.83174 0.64517 \\
	0.78959 0.69612 \\
	0.90604 0.53583 \\
	0.87061 0.59167 \\
	0.83174 0.64517 \\
	0.78959 0.69612 \\
};

% Annotations
\node[align=left, anchor=south] at(axis cs: 0.65, -0.67) {\scriptsize $2$};
\node[align=left, anchor=south] at(axis cs: 0.68, -0.61) {\scriptsize $2$};
\node[align=left, anchor=south] at(axis cs: 0.74, -0.56) {\scriptsize $2$};
\node[align=left, anchor=south] at(axis cs: 0.78, -0.5) {\scriptsize $2$};

\node[align=left, anchor=south] at(axis cs: 0.64, 0.5) {\scriptsize $2$};
\node[align=left, anchor=south] at(axis cs: 0.68, 0.45) {\scriptsize $2$};
\node[align=left, anchor=south] at(axis cs: 0.72, 0.40) {\scriptsize $2$};
\node[align=left, anchor=south] at(axis cs: 0.75, 0.34) {\scriptsize $2$};

\node[align=left, anchor=south] at(axis cs: 0.82445, 0.69612) {\scriptsize $2$};
\node[align=left, anchor=south] at(axis cs: 0.8666, 0.64517) {\scriptsize $2$};
\node[align=left, anchor=south] at(axis cs: 0.97, 0.52) {\scriptsize $2$};
\node[align=left, anchor=south] at(axis cs: 0.87, -0.83) {\scriptsize $2$};

\node[align=left, anchor=south] at(axis cs: 0.99, -0.64) {\scriptsize $2$};
\node[align=left, anchor=south] at(axis cs: 0.96, -0.72) {\scriptsize $2$};
\node[align=left, anchor=south] at(axis cs: 0.92, 0.59167) {\scriptsize $2$};
\node[align=left, anchor=south] at(axis cs: 0.92, -0.79) {\scriptsize $2$};
\end{axis}
\end{tikzpicture}