What's the name of the surface and Is it a $C^2$ smooth surface?

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what's the name of the surface? Is it a $C^2$ smooth surface? Its implicit equation is: $(x−2)^2(x+2)^2+(y−2)^2(y+2)^2+(z−2)^2(z+2)^2+3(x^2y^2+x^2z^2+y^2z^2)+6xyz−10(x^2+y^2+z^2)+22=0$

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It looks to be a Goursat surface, I have no software to be sure, if you have try to change the parameters.

But I'm not sure at 100%

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