\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]{
	0.30259 0.94453 \\
	0.30259 -0.94453 \\
	0.31472 0.91236 \\
	0.31472 -0.91236 \\
	0.3692 0.84529 \\
	0.3692 -0.84529 \\
	0.58654 0.80134 \\
	0.58654 -0.80134 \\
	0.55823 0.79298 \\
	0.55823 -0.79298 \\
	0.48019 0.79336 \\
	0.48019 -0.79336 \\
};

\addplot [line width=1pt,mark=*, only marks, mark size = 3pt, mark options={fill=white}]
table[row sep=crcr]{
	-0.096674 0.99532 \\
	-0.096674 -0.99532 \\
	0.23261 0.97257 \\
	0.23261 -0.97257 \\
	0.27546 0.96131 \\
	0.27546 -0.96131 \\
	0.79688 0.60414 \\
	0.79688 -0.60414 \\
	0.63915 0.76908 \\
	0.63915 -0.76908 \\
	0.61128 0.79142 \\
	0.61128 -0.79142 \\
};

\end{axis}
\end{tikzpicture}