Curves and  equilateral cevian pointsS = area(ABC)6 conics :CNKA1 = Sqrt[3]*(SB*y*(x + z) + SC*z*(x + y)) - 2*S*x*(y + z + 2*x) = 0CNKB1 = Sqrt[3]*(SC*z*(y + x) + SA*x*(y + z)) - 2*S*y*(z + x + 2*y) = 0CNKC1 = Sqrt[3]*(SA*x*(z + y) + SB*y*(z + x)) - 2*S*z*(x + y + 2*z) = 0CNKA2 = Sqrt[3]*(SB*y*(x + z) + SC*z*(x + y)) + 2*S*x*(y + z + 2*x) = 0CNKB2 = Sqrt[3]*(SC*z*(y + x) + SA*x*(y + z)) + 2*S*y*(z + x + 2*y) = 0CNKC2 = Sqrt[3]*(SA*x*(z + y) + SB*y*(z + x)) + 2*S*z*(x + y + 2*z) = 02 conics :CNK1 = 2*Sqrt[3]*(c^2*x*y + b^2*x*z + a^2*y*z) - 4*S*(x^2 + x*y + y^2 + x*z + y*z + z^2) = 0CNK2 = 2*Sqrt[3]*(c^2*x*y + b^2*x*z + a^2*y*z) + 4*S*(x^2 + x*y + y^2 + x*z + y*z + z^2) = 02 circles :cer1 = a^10*x^2 - 5*a^8*b^2*x^2 + 10*a^6*b^4*x^2 - 10*a^4*b^6*x^2 + 5*a^2*b^8*x^2 - b^10*x^2 - 5*a^8*c^2*x^2 + 12*a^6*b^2*c^2*x^2 - 6*a^4*b^4*c^2*x^2 - 4*a^2*b^6*c^2*x^2 +   3*b^8*c^2*x^2 + 10*a^6*c^4*x^2 - 6*a^4*b^2*c^4*x^2 - 2*a^2*b^4*c^4*x^2 - 2*b^6*c^4*x^2 - 10*a^4*c^6*x^2 - 4*a^2*b^2*c^6*x^2 - 2*b^4*c^6*x^2 + 5*a^2*c^8*x^2 + 3*b^2*c^8*x^2 -   c^10*x^2 - 3*a^8*b^2*x*y + 12*a^6*b^4*x*y - 18*a^4*b^6*x*y + 12*a^2*b^8*x*y - 3*b^10*x*y - 7*a^8*c^2*x*y + 22*a^6*b^2*c^2*x*y - 12*a^4*b^4*c^2*x*y - 14*a^2*b^6*c^2*x*y +   11*b^8*c^2*x*y + 19*a^6*c^4*x*y - 25*a^4*b^2*c^4*x*y + 5*a^2*b^4*c^4*x*y + b^6*c^4*x*y - 15*a^4*c^6*x*y - 4*a^2*b^2*c^6*x*y - 21*b^4*c^6*x*y + a^2*c^8*x*y + 10*b^2*c^8*x*y +   2*c^10*x*y - a^10*y^2 + 2*a^8*b^2*y^2 + 2*a^6*b^4*y^2 - 8*a^4*b^6*y^2 + 7*a^2*b^8*y^2 - 2*b^10*y^2 + 3*a^8*c^2*y^2 - a^6*b^2*c^2*y^2 - 3*a^4*b^4*c^2*y^2 - 3*a^2*b^6*c^2*y^2 +   4*b^8*c^2*y^2 - 2*a^6*c^4*y^2 + a^4*b^2*c^4*y^2 + b^6*c^4*y^2 - 2*a^4*c^6*y^2 - 7*a^2*b^2*c^6*y^2 - 7*b^4*c^6*y^2 + 3*a^2*c^8*y^2 + 5*b^2*c^8*y^2 - c^10*y^2 - 7*a^8*b^2*x*z +   19*a^6*b^4*x*z - 15*a^4*b^6*x*z + a^2*b^8*x*z + 2*b^10*x*z - 3*a^8*c^2*x*z + 22*a^6*b^2*c^2*x*z - 25*a^4*b^4*c^2*x*z - 4*a^2*b^6*c^2*x*z + 10*b^8*c^2*x*z + 12*a^6*c^4*x*z -   12*a^4*b^2*c^4*x*z + 5*a^2*b^4*c^4*x*z - 21*b^6*c^4*x*z - 18*a^4*c^6*x*z - 14*a^2*b^2*c^6*x*z + b^4*c^6*x*z + 12*a^2*c^8*x*z + 11*b^2*c^8*x*z - 3*c^10*x*z - 7*a^10*y*z +   16*a^8*b^2*y*z - 3*a^6*b^4*y*z - 17*a^4*b^6*y*z + 14*a^2*b^8*y*z - 3*b^10*y*z + 16*a^8*c^2*y*z - 22*a^6*b^2*c^2*y*z + 5*a^4*b^4*c^2*y*z - 8*a^2*b^6*c^2*y*z + 9*b^8*c^2*y*z -   3*a^6*c^4*y*z + 5*a^4*b^2*c^4*y*z - 12*a^2*b^4*c^4*y*z - 6*b^6*c^4*y*z - 17*a^4*c^6*y*z - 8*a^2*b^2*c^6*y*z - 6*b^4*c^6*y*z + 14*a^2*c^8*y*z + 9*b^2*c^8*y*z - 3*c^10*y*z -   a^10*z^2 + 3*a^8*b^2*z^2 - 2*a^6*b^4*z^2 - 2*a^4*b^6*z^2 + 3*a^2*b^8*z^2 - b^10*z^2 + 2*a^8*c^2*z^2 - a^6*b^2*c^2*z^2 + a^4*b^4*c^2*z^2 - 7*a^2*b^6*c^2*z^2 + 5*b^8*c^2*z^2 +   2*a^6*c^4*z^2 - 3*a^4*b^2*c^4*z^2 - 7*b^6*c^4*z^2 - 8*a^4*c^6*z^2 - 3*a^2*b^2*c^6*z^2 + b^4*c^6*z^2 + 7*a^2*c^8*z^2 + 4*b^2*c^8*z^2 - 2*c^10*z^2 -   Sqrt[3]*4*S*((-a^8)*x^2 + 2*a^6*b^2*x^2 - 2*a^2*b^6*x^2 + b^8*x^2 + 2*a^6*c^2*x^2 - 2*a^4*b^2*c^2*x^2 - 2*b^4*c^4*x^2 -   2*a^2*c^6*x^2 + c^8*x^2 - 2*a^8*x*y + 5*a^6*b^2*x*y - 3*a^4*b^4*x*y - a^2*b^6*x*y + b^8*x*y + 5*a^6*c^2*x*y - 6*a^4*b^2*c^2*x*y - 3*a^2*b^4*c^2*x*y + 4*b^6*c^2*x*y +   3*a^2*b^2*c^4*x*y - 7*b^4*c^4*x*y - 7*a^2*c^6*x*y - 2*b^2*c^6*x*y + 4*c^8*x*y - a^8*y^2 + 3*a^6*b^2*y^2 - 3*a^4*b^4*y^2 + a^2*b^6*y^2 + 2*a^6*c^2*y^2 - 4*a^4*b^2*c^2*y^2 +   2*b^6*c^2*y^2 + a^2*b^2*c^4*y^2 - 3*b^4*c^4*y^2 - 2*a^2*c^6*y^2 + c^8*y^2 - 2*a^8*x*z + 5*a^6*b^2*x*z - 7*a^2*b^6*x*z + 4*b^8*x*z + 5*a^6*c^2*x*z - 6*a^4*b^2*c^2*x*z +   3*a^2*b^4*c^2*x*z - 2*b^6*c^2*x*z - 3*a^4*c^4*x*z - 3*a^2*b^2*c^4*x*z - 7*b^4*c^4*x*z - a^2*c^6*x*z + 4*b^2*c^6*x*z + c^8*x*z - a^8*y*z + 5*a^6*b^2*y*z - 6*a^4*b^4*y*z +   a^2*b^6*y*z + b^8*y*z + 5*a^6*c^2*y*z - 6*a^4*b^2*c^2*y*z - a^2*b^4*c^2*y*z + 2*b^6*c^2*y*z - 6*a^4*c^4*y*z - a^2*b^2*c^4*y*z - 6*b^4*c^4*y*z + a^2*c^6*y*z + 2*b^2*c^6*y*z +   c^8*y*z - a^8*z^2 + 2*a^6*b^2*z^2 - 2*a^2*b^6*z^2 + b^8*z^2 + 3*a^6*c^2*z^2 - 4*a^4*b^2*c^2*z^2 + a^2*b^4*c^2*z^2 - 3*a^4*c^4*z^2 - 3*b^4*c^4*z^2 + a^2*c^6*z^2 +   2*b^2*c^6*z^2) = 0cer2 = a^10*x^2 - 5*a^8*b^2*x^2 + 10*a^6*b^4*x^2 - 10*a^4*b^6*x^2 + 5*a^2*b^8*x^2 - b^10*x^2 - 5*a^8*c^2*x^2 + 12*a^6*b^2*c^2*x^2 - 6*a^4*b^4*c^2*x^2 - 4*a^2*b^6*c^2*x^2 +   3*b^8*c^2*x^2 + 10*a^6*c^4*x^2 - 6*a^4*b^2*c^4*x^2 - 2*a^2*b^4*c^4*x^2 - 2*b^6*c^4*x^2 - 10*a^4*c^6*x^2 - 4*a^2*b^2*c^6*x^2 - 2*b^4*c^6*x^2 + 5*a^2*c^8*x^2 + 3*b^2*c^8*x^2 -   c^10*x^2 - 3*a^8*b^2*x*y + 12*a^6*b^4*x*y - 18*a^4*b^6*x*y + 12*a^2*b^8*x*y - 3*b^10*x*y - 7*a^8*c^2*x*y + 22*a^6*b^2*c^2*x*y - 12*a^4*b^4*c^2*x*y - 14*a^2*b^6*c^2*x*y +   11*b^8*c^2*x*y + 19*a^6*c^4*x*y - 25*a^4*b^2*c^4*x*y + 5*a^2*b^4*c^4*x*y + b^6*c^4*x*y - 15*a^4*c^6*x*y - 4*a^2*b^2*c^6*x*y - 21*b^4*c^6*x*y + a^2*c^8*x*y + 10*b^2*c^8*x*y +   2*c^10*x*y - a^10*y^2 + 2*a^8*b^2*y^2 + 2*a^6*b^4*y^2 - 8*a^4*b^6*y^2 + 7*a^2*b^8*y^2 - 2*b^10*y^2 + 3*a^8*c^2*y^2 - a^6*b^2*c^2*y^2 - 3*a^4*b^4*c^2*y^2 - 3*a^2*b^6*c^2*y^2 +   4*b^8*c^2*y^2 - 2*a^6*c^4*y^2 + a^4*b^2*c^4*y^2 + b^6*c^4*y^2 - 2*a^4*c^6*y^2 - 7*a^2*b^2*c^6*y^2 - 7*b^4*c^6*y^2 + 3*a^2*c^8*y^2 + 5*b^2*c^8*y^2 - c^10*y^2 - 7*a^8*b^2*x*z +   19*a^6*b^4*x*z - 15*a^4*b^6*x*z + a^2*b^8*x*z + 2*b^10*x*z - 3*a^8*c^2*x*z + 22*a^6*b^2*c^2*x*z - 25*a^4*b^4*c^2*x*z - 4*a^2*b^6*c^2*x*z + 10*b^8*c^2*x*z + 12*a^6*c^4*x*z -   12*a^4*b^2*c^4*x*z + 5*a^2*b^4*c^4*x*z - 21*b^6*c^4*x*z - 18*a^4*c^6*x*z - 14*a^2*b^2*c^6*x*z + b^4*c^6*x*z + 12*a^2*c^8*x*z + 11*b^2*c^8*x*z - 3*c^10*x*z - 7*a^10*y*z +   16*a^8*b^2*y*z - 3*a^6*b^4*y*z - 17*a^4*b^6*y*z + 14*a^2*b^8*y*z - 3*b^10*y*z + 16*a^8*c^2*y*z - 22*a^6*b^2*c^2*y*z + 5*a^4*b^4*c^2*y*z - 8*a^2*b^6*c^2*y*z + 9*b^8*c^2*y*z -   3*a^6*c^4*y*z + 5*a^4*b^2*c^4*y*z - 12*a^2*b^4*c^4*y*z - 6*b^6*c^4*y*z - 17*a^4*c^6*y*z - 8*a^2*b^2*c^6*y*z - 6*b^4*c^6*y*z + 14*a^2*c^8*y*z + 9*b^2*c^8*y*z - 3*c^10*y*z -   a^10*z^2 + 3*a^8*b^2*z^2 - 2*a^6*b^4*z^2 - 2*a^4*b^6*z^2 + 3*a^2*b^8*z^2 - b^10*z^2 + 2*a^8*c^2*z^2 - a^6*b^2*c^2*z^2 + a^4*b^4*c^2*z^2 - 7*a^2*b^6*c^2*z^2 + 5*b^8*c^2*z^2 +   2*a^6*c^4*z^2 - 3*a^4*b^2*c^4*z^2 - 7*b^6*c^4*z^2 - 8*a^4*c^6*z^2 - 3*a^2*b^2*c^6*z^2 + b^4*c^6*z^2 + 7*a^2*c^8*z^2 + 4*b^2*c^8*z^2 - 2*c^10*z^2 +   Sqrt[3]*4*S*((-a^8)*x^2 + 2*a^6*b^2*x^2 - 2*a^2*b^6*x^2 + b^8*x^2 + 2*a^6*c^2*x^2 - 2*a^4*b^2*c^2*x^2 - 2*b^4*c^4*x^2 -   2*a^2*c^6*x^2 + c^8*x^2 - 2*a^8*x*y + 5*a^6*b^2*x*y - 3*a^4*b^4*x*y - a^2*b^6*x*y + b^8*x*y + 5*a^6*c^2*x*y - 6*a^4*b^2*c^2*x*y - 3*a^2*b^4*c^2*x*y + 4*b^6*c^2*x*y +   3*a^2*b^2*c^4*x*y - 7*b^4*c^4*x*y - 7*a^2*c^6*x*y - 2*b^2*c^6*x*y + 4*c^8*x*y - a^8*y^2 + 3*a^6*b^2*y^2 - 3*a^4*b^4*y^2 + a^2*b^6*y^2 + 2*a^6*c^2*y^2 - 4*a^4*b^2*c^2*y^2 +   2*b^6*c^2*y^2 + a^2*b^2*c^4*y^2 - 3*b^4*c^4*y^2 - 2*a^2*c^6*y^2 + c^8*y^2 - 2*a^8*x*z + 5*a^6*b^2*x*z - 7*a^2*b^6*x*z + 4*b^8*x*z + 5*a^6*c^2*x*z - 6*a^4*b^2*c^2*x*z +   3*a^2*b^4*c^2*x*z - 2*b^6*c^2*x*z - 3*a^4*c^4*x*z - 3*a^2*b^2*c^4*x*z - 7*b^4*c^4*x*z - a^2*c^6*x*z + 4*b^2*c^6*x*z + c^8*x*z - a^8*y*z + 5*a^6*b^2*y*z - 6*a^4*b^4*y*z +   a^2*b^6*y*z + b^8*y*z + 5*a^6*c^2*y*z - 6*a^4*b^2*c^2*y*z - a^2*b^4*c^2*y*z + 2*b^6*c^2*y*z - 6*a^4*c^4*y*z - a^2*b^2*c^4*y*z - 6*b^4*c^4*y*z + a^2*c^6*y*z + 2*b^2*c^6*y*z +   c^8*y*z - a^8*z^2 + 2*a^6*b^2*z^2 - 2*a^2*b^6*z^2 + b^8*z^2 + 3*a^6*c^2*z^2 - 4*a^4*b^2*c^2*z^2 + a^2*b^4*c^2*z^2 - 3*a^4*c^4*z^2 - 3*b^4*c^4*z^2 + a^2*c^6*z^2 +   2*b^2*c^6*z^2) = 02 triangles : jac1 = 4*S*((-a^4)*x^3 + 2*a^2*b^2*x^3 - b^4*x^3 + 2*a^2*c^2*x^3 + 2*b^2*c^2*x^3 - c^4*x^3 + 4*a^4*x^2*y - 8*a^2*b^2*x^2*y +   4*b^4*x^2*y - 2*a^2*c^2*x^2*y - 2*b^2*c^2*x^2*y - 2*c^4*x^2*y + 4*a^4*x*y^2 - 8*a^2*b^2*x*y^2 + 4*b^4*x*y^2 - 2*a^2*c^2*x*y^2 - 2*b^2*c^2*x*y^2 - 2*c^4*x*y^2 - a^4*y^3 +   2*a^2*b^2*y^3 - b^4*y^3 + 2*a^2*c^2*y^3 + 2*b^2*c^2*y^3 - c^4*y^3 + 4*a^4*x^2*z - 2*a^2*b^2*x^2*z - 2*b^4*x^2*z - 8*a^2*c^2*x^2*z - 2*b^2*c^2*x^2*z + 4*c^4*x^2*z +   7*a^4*x*y*z - 14*a^2*b^2*x*y*z + 7*b^4*x*y*z - 14*a^2*c^2*x*y*z - 14*b^2*c^2*x*y*z + 7*c^4*x*y*z - 2*a^4*y^2*z - 2*a^2*b^2*y^2*z + 4*b^4*y^2*z - 2*a^2*c^2*y^2*z -   8*b^2*c^2*y^2*z + 4*c^4*y^2*z + 4*a^4*x*z^2 - 2*a^2*b^2*x*z^2 - 2*b^4*x*z^2 - 8*a^2*c^2*x*z^2 - 2*b^2*c^2*x*z^2 + 4*c^4*x*z^2 - 2*a^4*y*z^2 - 2*a^2*b^2*y*z^2 + 4*b^4*y*z^2 -   2*a^2*c^2*y*z^2 - 8*b^2*c^2*y*z^2 + 4*c^4*y*z^2 - a^4*z^3 + 2*a^2*b^2*z^3 - b^4*z^3 + 2*a^2*c^2*z^3 + 2*b^2*c^2*z^3 - c^4*z^3) +   Sqrt[3]*(a^6*x^3 - 3*a^4*b^2*x^3 + 3*a^2*b^4*x^3 - b^6*x^3 - 3*a^4*c^2*x^3 + 2*a^2*b^2*c^2*x^3 + b^4*c^2*x^3 + 3*a^2*c^4*x^3 + b^2*c^4*x^3 - c^6*x^3 + 2*a^6*x^2*y -   6*a^4*b^2*x^2*y + 6*a^2*b^4*x^2*y - 2*b^6*x^2*y - 6*a^4*c^2*x^2*y + 4*a^2*b^2*c^2*x^2*y + 2*b^4*c^2*x^2*y + 6*a^2*c^4*x^2*y + 2*b^2*c^4*x^2*y - 2*c^6*x^2*y - 2*a^6*x*y^2 +   6*a^4*b^2*x*y^2 - 6*a^2*b^4*x*y^2 + 2*b^6*x*y^2 + 2*a^4*c^2*x*y^2 + 4*a^2*b^2*c^2*x*y^2 - 6*b^4*c^2*x*y^2 + 2*a^2*c^4*x*y^2 + 6*b^2*c^4*x*y^2 - 2*c^6*x*y^2 - a^6*y^3 +   3*a^4*b^2*y^3 - 3*a^2*b^4*y^3 + b^6*y^3 + a^4*c^2*y^3 + 2*a^2*b^2*c^2*y^3 - 3*b^4*c^2*y^3 + a^2*c^4*y^3 + 3*b^2*c^4*y^3 - c^6*y^3 + 2*a^6*x^2*z - 6*a^4*b^2*x^2*z +   6*a^2*b^4*x^2*z - 2*b^6*x^2*z - 6*a^4*c^2*x^2*z + 4*a^2*b^2*c^2*x^2*z + 2*b^4*c^2*x^2*z + 6*a^2*c^4*x^2*z + 2*b^2*c^4*x^2*z - 2*c^6*x^2*z - 3*a^6*x*y*z + 3*a^4*b^2*x*y*z +   3*a^2*b^4*x*y*z - 3*b^6*x*y*z + 3*a^4*c^2*x*y*z - 6*a^2*b^2*c^2*x*y*z + 3*b^4*c^2*x*y*z + 3*a^2*c^4*x*y*z + 3*b^2*c^4*x*y*z - 3*c^6*x*y*z - 2*a^6*y^2*z + 6*a^4*b^2*y^2*z -   6*a^2*b^4*y^2*z + 2*b^6*y^2*z + 2*a^4*c^2*y^2*z + 4*a^2*b^2*c^2*y^2*z - 6*b^4*c^2*y^2*z + 2*a^2*c^4*y^2*z + 6*b^2*c^4*y^2*z - 2*c^6*y^2*z - 2*a^6*x*z^2 + 2*a^4*b^2*x*z^2 +   2*a^2*b^4*x*z^2 - 2*b^6*x*z^2 + 6*a^4*c^2*x*z^2 + 4*a^2*b^2*c^2*x*z^2 + 6*b^4*c^2*x*z^2 - 6*a^2*c^4*x*z^2 - 6*b^2*c^4*x*z^2 + 2*c^6*x*z^2 - 2*a^6*y*z^2 + 2*a^4*b^2*y*z^2 +   2*a^2*b^4*y*z^2 - 2*b^6*y*z^2 + 6*a^4*c^2*y*z^2 + 4*a^2*b^2*c^2*y*z^2 + 6*b^4*c^2*y*z^2 - 6*a^2*c^4*y*z^2 - 6*b^2*c^4*y*z^2 + 2*c^6*y*z^2 - a^6*z^3 + a^4*b^2*z^3 +   a^2*b^4*z^3 - b^6*z^3 + 3*a^4*c^2*z^3 + 2*a^2*b^2*c^2*z^3 + 3*b^4*c^2*z^3 - 3*a^2*c^4*z^3 - 3*b^2*c^4*z^3 + c^6*z^3) = 0jac2 = 4*S*((-a^4)*x^3 + 2*a^2*b^2*x^3 - b^4*x^3 + 2*a^2*c^2*x^3 + 2*b^2*c^2*x^3 - c^4*x^3 + 4*a^4*x^2*y - 8*a^2*b^2*x^2*y +   4*b^4*x^2*y - 2*a^2*c^2*x^2*y - 2*b^2*c^2*x^2*y - 2*c^4*x^2*y + 4*a^4*x*y^2 - 8*a^2*b^2*x*y^2 + 4*b^4*x*y^2 - 2*a^2*c^2*x*y^2 - 2*b^2*c^2*x*y^2 - 2*c^4*x*y^2 - a^4*y^3 +   2*a^2*b^2*y^3 - b^4*y^3 + 2*a^2*c^2*y^3 + 2*b^2*c^2*y^3 - c^4*y^3 + 4*a^4*x^2*z - 2*a^2*b^2*x^2*z - 2*b^4*x^2*z - 8*a^2*c^2*x^2*z - 2*b^2*c^2*x^2*z + 4*c^4*x^2*z +   7*a^4*x*y*z - 14*a^2*b^2*x*y*z + 7*b^4*x*y*z - 14*a^2*c^2*x*y*z - 14*b^2*c^2*x*y*z + 7*c^4*x*y*z - 2*a^4*y^2*z - 2*a^2*b^2*y^2*z + 4*b^4*y^2*z - 2*a^2*c^2*y^2*z -   8*b^2*c^2*y^2*z + 4*c^4*y^2*z + 4*a^4*x*z^2 - 2*a^2*b^2*x*z^2 - 2*b^4*x*z^2 - 8*a^2*c^2*x*z^2 - 2*b^2*c^2*x*z^2 + 4*c^4*x*z^2 - 2*a^4*y*z^2 - 2*a^2*b^2*y*z^2 + 4*b^4*y*z^2 -   2*a^2*c^2*y*z^2 - 8*b^2*c^2*y*z^2 + 4*c^4*y*z^2 - a^4*z^3 + 2*a^2*b^2*z^3 - b^4*z^3 + 2*a^2*c^2*z^3 + 2*b^2*c^2*z^3 - c^4*z^3) -   Sqrt[3]*(a^6*x^3 - 3*a^4*b^2*x^3 + 3*a^2*b^4*x^3 - b^6*x^3 - 3*a^4*c^2*x^3 + 2*a^2*b^2*c^2*x^3 + b^4*c^2*x^3 + 3*a^2*c^4*x^3 + b^2*c^4*x^3 - c^6*x^3 + 2*a^6*x^2*y -   6*a^4*b^2*x^2*y + 6*a^2*b^4*x^2*y - 2*b^6*x^2*y - 6*a^4*c^2*x^2*y + 4*a^2*b^2*c^2*x^2*y + 2*b^4*c^2*x^2*y + 6*a^2*c^4*x^2*y + 2*b^2*c^4*x^2*y - 2*c^6*x^2*y - 2*a^6*x*y^2 +   6*a^4*b^2*x*y^2 - 6*a^2*b^4*x*y^2 + 2*b^6*x*y^2 + 2*a^4*c^2*x*y^2 + 4*a^2*b^2*c^2*x*y^2 - 6*b^4*c^2*x*y^2 + 2*a^2*c^4*x*y^2 + 6*b^2*c^4*x*y^2 - 2*c^6*x*y^2 - a^6*y^3 +   3*a^4*b^2*y^3 - 3*a^2*b^4*y^3 + b^6*y^3 + a^4*c^2*y^3 + 2*a^2*b^2*c^2*y^3 - 3*b^4*c^2*y^3 + a^2*c^4*y^3 + 3*b^2*c^4*y^3 - c^6*y^3 + 2*a^6*x^2*z - 6*a^4*b^2*x^2*z +   6*a^2*b^4*x^2*z - 2*b^6*x^2*z - 6*a^4*c^2*x^2*z + 4*a^2*b^2*c^2*x^2*z + 2*b^4*c^2*x^2*z + 6*a^2*c^4*x^2*z + 2*b^2*c^4*x^2*z - 2*c^6*x^2*z - 3*a^6*x*y*z + 3*a^4*b^2*x*y*z +   3*a^2*b^4*x*y*z - 3*b^6*x*y*z + 3*a^4*c^2*x*y*z - 6*a^2*b^2*c^2*x*y*z + 3*b^4*c^2*x*y*z + 3*a^2*c^4*x*y*z + 3*b^2*c^4*x*y*z - 3*c^6*x*y*z - 2*a^6*y^2*z + 6*a^4*b^2*y^2*z -   6*a^2*b^4*y^2*z + 2*b^6*y^2*z + 2*a^4*c^2*y^2*z + 4*a^2*b^2*c^2*y^2*z - 6*b^4*c^2*y^2*z + 2*a^2*c^4*y^2*z + 6*b^2*c^4*y^2*z - 2*c^6*y^2*z - 2*a^6*x*z^2 + 2*a^4*b^2*x*z^2 +   2*a^2*b^4*x*z^2 - 2*b^6*x*z^2 + 6*a^4*c^2*x*z^2 + 4*a^2*b^2*c^2*x*z^2 + 6*b^4*c^2*x*z^2 - 6*a^2*c^4*x*z^2 - 6*b^2*c^4*x*z^2 + 2*c^6*x*z^2 - 2*a^6*y*z^2 + 2*a^4*b^2*y*z^2 +   2*a^2*b^4*y*z^2 - 2*b^6*y*z^2 + 6*a^4*c^2*y*z^2 + 4*a^2*b^2*c^2*y*z^2 + 6*b^4*c^2*y*z^2 - 6*a^2*c^4*y*z^2 - 6*b^2*c^4*y*z^2 + 2*c^6*y*z^2 - a^6*z^3 + a^4*b^2*z^3 +   a^2*b^4*z^3 - b^6*z^3 + 3*a^4*c^2*z^3 + 2*a^2*b^2*c^2*z^3 + 3*b^4*c^2*z^3 - 3*a^2*c^4*z^3 - 3*b^2*c^4*z^3 + c^6*z^3) = 0