z,y,x
0
x^2*y^2*z^2-8*x^2*y^2*z-6*x^2*y*z^2-4*x*y^2*z^2+16*x^2*y^2+48*x^2*y*z+9*x^2*z^2+32*x*y^2*z+24*x*y*z^2+4*y^2*z^2-96*x^2*y-72*x^2*z-64*x*y^2-192*x*y*z-36*x*z^2-32*y^2*z-24*y*z^2+144*x^2+384*x*y+288*x*z+64*y^2+192*y*z+36*z^2-576*x-384*y-288*z+576,
x^2*y^2*z^2-10*x^2*y^2*z-14*x^2*y*z^2-12*x*y^2*z^2+25*x^2*y^2+140*x^2*y*z+49*x^2*z^2+120*x*y^2*z+168*x*y*z^2+36*y^2*z^2-350*x^2*y-490*x^2*z-300*x*y^2-1680*x*y*z-588*x*z^2-360*y^2*z-504*y*z^2+1225*x^2+4200*x*y+5880*x*z+900*y^2+5040*y*z+1764*z^2-14700*x-12600*y-17640*z+44100,
x^2*y^2*z^2-6*x^2*y^2*z-22*x^2*y*z^2-8*x*y^2*z^2+9*x^2*y^2+132*x^2*y*z+121*x^2*z^2+48*x*y^2*z+176*x*y*z^2+16*y^2*z^2-198*x^2*y-726*x^2*z-72*x*y^2-1056*x*y*z-968*x*z^2-96*y^2*z-352*y*z^2+1089*x^2+1584*x*y+5808*x*z+144*y^2+2112*y*z+1936*z^2-8712*x-3168*y-11616*z+17424