surf quartic

-10 + a * x^2 + b * y^2 + a * x^2 * z + b * y^3 * z + a * x * z^2

surf quadric

-10 + a * x^2 + b * y^2 + z^2

surf sphere

-5^2 + x^2 + y^2 + z^2

surf torse

5225+36180*z-7640*y-910*x^2+59326*z^2-5056*z*y-4466*y^2-364*z*x^2-728*y*x^2+40036*z^3-728*z^2*y-2164*z*y^2-1128*y^3+9*x^4+218*z^2*x^2-400*y*z*x^2-82*y^2*x^2+10209*z^4-400*z^3*y+118*z^2*y^2-400*z*y^3-91*y^4

surf sphere_and_plane

(-5^2 * x + x^3 + y^2 * x + z^2 * x)

manifold 2

surf clebsch

-6*x*y*z -3*x^2 -6*x*y -6*x*z -3*y^2 -6 * y * z -3 * z^2 -3 * x^2 * y -3 * x^2 *z

-3 * x* y^2 -3 * x * z^2 -3 * y^2 *z -3 * y * z^2 -3 * x -3 * y -3 * z

surf noclebsch

-6*x*y*z -3*x^2 -6*x*y -6*x*z -3*y^2 -6 * y * z -3 * z^2 -3 * x^2 * y -3 * x^2 *z

surf saddle

8 * z - x * y

surf steiner_roman_1

(x^2+y^2+z^2-9)^2-((z-3)^2-2*x^2)*((z+3)^2-2*y^2)

manifold 2

surf steiner_roman_2

x^2*y^2 + y^2 * z^2 + z^2 * x^2 - 5 * 2 * x * y * z

manifold 2

surf planes

x * y

manifold 2

surf barths_sextic

-42360680+5295084*x^2+5295084*y^2+5295084*z^2-165472*z^4-165472*y^4-165472*x^4+165471*x^2*y^2*z^2-330943*x^2*y^2-330943*x^2*z^2-330943*y^2*z^2-66935*x^4*y^2-66935*x^2*z^4+25566*x^4*z^2-66935*y^4*z^2+25566*y^4*x^2+25566*y^2*z^4

surf barths_sextic_big

-42360680+2353371*x^2+2353371*y^2+2353371*z^2-32686*z^4-32686*y^4-32686*x^4+14526*x^2*y^2*z^2-65372*x^2*y^2-65372*x^2*z^2-65372*y^2*z^2-5877*x^4*y^2-5877*x^2*z^4+2244*x^4*z^2-5877*y^4*z^2+2244*y^4*x^2+2244*y^2*z^4

surf barths_sextic_small

-42360680+9413484*x^2+9413484*y^2+9413484*z^2-522972*z^4-522972*y^4-522972*x^4+929726*x^2*y^2*z^2-1048633*x^2*y^2-1048633*x^2*z^2-1048633*y^2*z^2-376083*x^4*y^2-376083*x^2*z^4+143650*x^4*z^2-376083*y^4*z^2+143650*y^4*x^2+143650*y^2*z^4

surf barths_sextic_deform

-42360680+9413484*x^2+9413484*y^2+9413484*z^2-522972*z^4-522972*y^4-522972*x^4+929726*x^2*y^2*z^2-1048633*x^2*y^2-1048633*x^2*z^2-1048633*y^2*z^2-376083*x^4*y^2-376083*x^2*z^4+143650*x^4*z^2-376083*y^4*z^2+143650*y^4*x^2+143650*y^2*z^4

+01000000