ContourPlot[{x1^2+x1*x2+x2^2+2*x1+6*x2+3==0,
x1^2+x1*x2-x2^2+2*x1+6*x2+3==0,
x1^2-x1*x2+x2^2+2*x1+6*x2+3==0,
-x1^2+x1*x2+x2^2+2*x1+6*x2+3==0},
{x1,-10,10},{x2,-10,10},ContourStyle->"Pastel",
GridLines->Automatic,ImageSize->Large,
PlotLegends->"Expressions"]
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