The Clebsch Diagonal Cubic

The Clebsch diagonal cubic.With 10 Eckhard points (3 lines in a tritangent meeting.)

Polynomial:

     81*(x^3+y^3+z^3)-189*(x^2*y+x^2*z+y^2*x+y^2*z+z^2*x+z^2*y)+
     54*(x*y*z)+126*(x*y+x*z+y*z)-9*(x^2+y^2+z^2)-9*(x+y+z)+1=0

Here is the PoV3-source I used

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