Q077 :

a^8*x^5 - 4*a^6*b^2*x^5 + 6*a^4*b^4*x^5 - 4*a^2*b^6*x^5 + b^8*x^5 -   4*a^6*c^2*x^5 + 4*a^4*b^2*c^2*x^5 + 4*a^2*b^4*c^2*x^5 - 4*b^6*c^2*x^5 +   6*a^4*c^4*x^5 + 4*a^2*b^2*c^4*x^5 +   6*b^4*c^4*x^5 - 4*a^2*c^6*x^5 - 4*b^2*c^6*x^5 + c^8*x^5 +   5*a^8*x^4*y - 20*a^6*b^2*x^4*y + 30*a^4*b^4*x^4*y - 20*a^2*b^6*x^4*y +   5*b^8*x^4*y - 36*a^6*c^2*x^4*y +   100*a^4*b^2*c^2*x^4*y - 92*a^2*b^4*c^2*x^4*y + 28*b^6*c^2*x^4*y +   78*a^4*c^4*x^4*y - 76*a^2*b^2*c^4*x^4*y - 50*b^4*c^4*x^4*y -   68*a^2*c^6*x^4*y - 4*b^2*c^6*x^4*y + 21*c^8*x^4*y +   10*a^8*x^3*y^2 - 40*a^6*b^2*x^3*y^2 + 60*a^4*b^4*x^3*y^2 -   40*a^2*b^6*x^3*y^2 + 10*b^8*x^3*y^2 - 24*a^6*c^2*x^3*y^2 +   88*a^4*b^2*c^2*x^3*y^2 - 104*a^2*b^4*c^2*x^3*y^2 +   40*b^6*c^2*x^3*y^2 + 76*a^4*c^4*x^3*y^2 + 8*a^2*b^2*c^4*x^3*y^2 -   52*b^4*c^4*x^3*y^2 - 120*a^2*c^6*x^3*y^2 - 56*b^2*c^6*x^3*y^2 +   58*c^8*x^3*y^2 + 10*a^8*x^2*y^3 -   40*a^6*b^2*x^2*y^3 + 60*a^4*b^4*x^2*y^3 - 40*a^2*b^6*x^2*y^3 +   10*b^8*x^2*y^3 + 40*a^6*c^2*x^2*y^3 - 104*a^4*b^2*c^2*x^2*y^3 +   88*a^2*b^4*c^2*x^2*y^3 - 24*b^6*c^2*x^2*y^3 -   52*a^4*c^4*x^2*y^3 + 8*a^2*b^2*c^4*x^2*y^3 + 76*b^4*c^4*x^2*y^3 -   56*a^2*c^6*x^2*y^3 - 120*b^2*c^6*x^2*y^3 + 58*c^8*x^2*y^3 + 5*a^8*x*y^4 -   20*a^6*b^2*x*y^4 + 30*a^4*b^4*x*y^4 -   20*a^2*b^6*x*y^4 + 5*b^8*x*y^4 + 28*a^6*c^2*x*y^4 -   92*a^4*b^2*c^2*x*y^4 + 100*a^2*b^4*c^2*x*y^4 - 36*b^6*c^2*x*y^4 -   50*a^4*c^4*x*y^4 - 76*a^2*b^2*c^4*x*y^4 + 78*b^4*c^4*x*y^4 -   4*a^2*c^6*x*y^4 - 68*b^2*c^6*x*y^4 + 21*c^8*x*y^4 + a^8*y^5 -   4*a^6*b^2*y^5 + 6*a^4*b^4*y^5 - 4*a^2*b^6*y^5 + b^8*y^5 - 4*a^6*c^2*y^5 +   4*a^4*b^2*c^2*y^5 + 4*a^2*b^4*c^2*y^5 -   4*b^6*c^2*y^5 + 6*a^4*c^4*y^5 + 4*a^2*b^2*c^4*y^5 + 6*b^4*c^4*y^5 -   4*a^2*c^6*y^5 - 4*b^2*c^6*y^5 + c^8*y^5 + 5*a^8*x^4*z -   36*a^6*b^2*x^4*z + 78*a^4*b^4*x^4*z - 68*a^2*b^6*x^4*z +   21*b^8*x^4*z - 20*a^6*c^2*x^4*z + 100*a^4*b^2*c^2*x^4*z -   76*a^2*b^4*c^2*x^4*z - 4*b^6*c^2*x^4*z + 30*a^4*c^4*x^4*z -   92*a^2*b^2*c^4*x^4*z - 50*b^4*c^4*x^4*z - 20*a^2*c^6*x^4*z +   28*b^2*c^6*x^4*z + 5*c^8*x^4*z - 28*a^8*x^3*y*z +   80*a^6*b^2*x^3*y*z - 72*a^4*b^4*x^3*y*z + 16*a^2*b^6*x^3*y*z +   4*b^8*x^3*y*z + 80*a^6*c^2*x^3*y*z - 304*a^4*b^2*c^2*x^3*y*z +   240*a^2*b^4*c^2*x^3*y*z - 16*b^6*c^2*x^3*y*z - 72*a^4*c^4*x^3*y*z +   240*a^2*b^2*c^4*x^3*y*z + 24*b^4*c^4*x^3*y*z + 16*a^2*c^6*x^3*y*z -   16*b^2*c^6*x^3*y*z + 4*c^8*x^3*y*z -   50*a^8*x^2*y^2*z + 200*a^6*b^2*x^2*y^2*z - 300*a^4*b^4*x^2*y^2*z +   200*a^2*b^6*x^2*y^2*z - 50*b^8*x^2*y^2*z + 88*a^6*c^2*x^2*y^2*z -   88*a^4*b^2*c^2*x^2*y^2*z -   88*a^2*b^4*c^2*x^2*y^2*z + 88*b^6*c^2*x^2*y^2*z -   28*a^4*c^4*x^2*y^2*z - 104*a^2*b^2*c^4*x^2*y^2*z - 28*b^4*c^4*x^2*y^2*z -   8*a^2*c^6*x^2*y^2*z - 8*b^2*c^6*x^2*y^2*z -   2*c^8*x^2*y^2*z + 4*a^8*x*y^3*z + 16*a^6*b^2*x*y^3*z -   72*a^4*b^4*x*y^3*z + 80*a^2*b^6*x*y^3*z - 28*b^8*x*y^3*z -   16*a^6*c^2*x*y^3*z + 240*a^4*b^2*c^2*x*y^3*z -   304*a^2*b^4*c^2*x*y^3*z + 80*b^6*c^2*x*y^3*z + 24*a^4*c^4*x*y^3*z +   240*a^2*b^2*c^4*x*y^3*z - 72*b^4*c^4*x*y^3*z - 16*a^2*c^6*x*y^3*z +   16*b^2*c^6*x*y^3*z + 4*c^8*x*y^3*z +   21*a^8*y^4*z - 68*a^6*b^2*y^4*z + 78*a^4*b^4*y^4*z -   36*a^2*b^6*y^4*z + 5*b^8*y^4*z - 4*a^6*c^2*y^4*z - 76*a^4*b^2*c^2*y^4*z +   100*a^2*b^4*c^2*y^4*z - 20*b^6*c^2*y^4*z -   50*a^4*c^4*y^4*z - 92*a^2*b^2*c^4*y^4*z + 30*b^4*c^4*y^4*z +   28*a^2*c^6*y^4*z - 20*b^2*c^6*y^4*z + 5*c^8*y^4*z + 10*a^8*x^3*z^2 -   24*a^6*b^2*x^3*z^2 + 76*a^4*b^4*x^3*z^2 -   120*a^2*b^6*x^3*z^2 + 58*b^8*x^3*z^2 - 40*a^6*c^2*x^3*z^2 +   88*a^4*b^2*c^2*x^3*z^2 + 8*a^2*b^4*c^2*x^3*z^2 - 56*b^6*c^2*x^3*z^2 +   60*a^4*c^4*x^3*z^2 - 104*a^2*b^2*c^4*x^3*z^2 -   52*b^4*c^4*x^3*z^2 - 40*a^2*c^6*x^3*z^2 + 40*b^2*c^6*x^3*z^2 +   10*c^8*x^3*z^2 - 50*a^8*x^2*y*z^2 + 88*a^6*b^2*x^2*y*z^2 -   28*a^4*b^4*x^2*y*z^2 - 8*a^2*b^6*x^2*y*z^2 -   2*b^8*x^2*y*z^2 + 200*a^6*c^2*x^2*y*z^2 - 88*a^4*b^2*c^2*x^2*y*z^2 -   104*a^2*b^4*c^2*x^2*y*z^2 - 8*b^6*c^2*x^2*y*z^2 - 300*a^4*c^4*x^2*y*z^2 -   88*a^2*b^2*c^4*x^2*y*z^2 -   28*b^4*c^4*x^2*y*z^2 + 200*a^2*c^6*x^2*y*z^2 +   88*b^2*c^6*x^2*y*z^2 - 50*c^8*x^2*y*z^2 - 2*a^8*x*y^2*z^2 -   8*a^6*b^2*x*y^2*z^2 - 28*a^4*b^4*x*y^2*z^2 + 88*a^2*b^6*x*y^2*z^2 -   50*b^8*x*y^2*z^2 - 8*a^6*c^2*x*y^2*z^2 - 104*a^4*b^2*c^2*x*y^2*z^2 -   88*a^2*b^4*c^2*x*y^2*z^2 + 200*b^6*c^2*x*y^2*z^2 - 28*a^4*c^4*x*y^2*z^2 -   88*a^2*b^2*c^4*x*y^2*z^2 -   300*b^4*c^4*x*y^2*z^2 + 88*a^2*c^6*x*y^2*z^2 +   200*b^2*c^6*x*y^2*z^2 - 50*c^8*x*y^2*z^2 + 58*a^8*y^3*z^2 -   120*a^6*b^2*y^3*z^2 + 76*a^4*b^4*y^3*z^2 - 24*a^2*b^6*y^3*z^2 +   10*b^8*y^3*z^2 - 56*a^6*c^2*y^3*z^2 + 8*a^4*b^2*c^2*y^3*z^2 +   88*a^2*b^4*c^2*y^3*z^2 - 40*b^6*c^2*y^3*z^2 - 52*a^4*c^4*y^3*z^2 -   104*a^2*b^2*c^4*y^3*z^2 + 60*b^4*c^4*y^3*z^2 +   40*a^2*c^6*y^3*z^2 - 40*b^2*c^6*y^3*z^2 + 10*c^8*y^3*z^2 +   10*a^8*x^2*z^3 + 40*a^6*b^2*x^2*z^3 - 52*a^4*b^4*x^2*z^3 -   56*a^2*b^6*x^2*z^3 + 58*b^8*x^2*z^3 - 40*a^6*c^2*x^2*z^3 -   104*a^4*b^2*c^2*x^2*z^3 + 8*a^2*b^4*c^2*x^2*z^3 -   120*b^6*c^2*x^2*z^3 + 60*a^4*c^4*x^2*z^3 + 88*a^2*b^2*c^4*x^2*z^3 +   76*b^4*c^4*x^2*z^3 - 40*a^2*c^6*x^2*z^3 - 24*b^2*c^6*x^2*z^3 +   10*c^8*x^2*z^3 + 4*a^8*x*y*z^3 - 16*a^6*b^2*x*y*z^3 +   24*a^4*b^4*x*y*z^3 - 16*a^2*b^6*x*y*z^3 + 4*b^8*x*y*z^3 +   16*a^6*c^2*x*y*z^3 + 240*a^4*b^2*c^2*x*y*z^3 +   240*a^2*b^4*c^2*x*y*z^3 + 16*b^6*c^2*x*y*z^3 - 72*a^4*c^4*x*y*z^3 -   304*a^2*b^2*c^4*x*y*z^3 - 72*b^4*c^4*x*y*z^3 + 80*a^2*c^6*x*y*z^3 +   80*b^2*c^6*x*y*z^3 - 28*c^8*x*y*z^3 +   58*a^8*y^2*z^3 - 56*a^6*b^2*y^2*z^3 - 52*a^4*b^4*y^2*z^3 +   40*a^2*b^6*y^2*z^3 + 10*b^8*y^2*z^3 - 120*a^6*c^2*y^2*z^3 +   8*a^4*b^2*c^2*y^2*z^3 - 104*a^2*b^4*c^2*y^2*z^3 -   40*b^6*c^2*y^2*z^3 + 76*a^4*c^4*y^2*z^3 + 88*a^2*b^2*c^4*y^2*z^3 +   60*b^4*c^4*y^2*z^3 - 24*a^2*c^6*y^2*z^3 - 40*b^2*c^6*y^2*z^3 +   10*c^8*y^2*z^3 + 5*a^8*x*z^4 + 28*a^6*b^2*x*z^4 -   50*a^4*b^4*x*z^4 - 4*a^2*b^6*x*z^4 + 21*b^8*x*z^4 -   20*a^6*c^2*x*z^4 - 92*a^4*b^2*c^2*x*z^4 - 76*a^2*b^4*c^2*x*z^4 -   68*b^6*c^2*x*z^4 + 30*a^4*c^4*x*z^4 + 100*a^2*b^2*c^4*x*z^4 +   78*b^4*c^4*x*z^4 - 20*a^2*c^6*x*z^4 - 36*b^2*c^6*x*z^4 +   5*c^8*x*z^4 + 21*a^8*y*z^4 - 4*a^6*b^2*y*z^4 - 50*a^4*b^4*y*z^4 +   28*a^2*b^6*y*z^4 + 5*b^8*y*z^4 - 68*a^6*c^2*y*z^4 -   76*a^4*b^2*c^2*y*z^4 - 92*a^2*b^4*c^2*y*z^4 - 20*b^6*c^2*y*z^4 +   78*a^4*c^4*y*z^4 + 100*a^2*b^2*c^4*y*z^4 + 30*b^4*c^4*y*z^4 -   36*a^2*c^6*y*z^4 - 20*b^2*c^6*y*z^4 + 5*c^8*y*z^4 +   a^8*z^5 - 4*a^6*b^2*z^5 + 6*a^4*b^4*z^5 - 4*a^2*b^6*z^5 + b^8*z^5 -   4*a^6*c^2*z^5 + 4*a^4*b^2*c^2*z^5 + 4*a^2*b^4*c^2*z^5 - 4*b^6*c^2*z^5 +   6*a^4*c^4*z^5 + 4*a^2*b^2*c^4*z^5 +   6*b^4*c^4*z^5 - 4*a^2*c^6*z^5 - 4*b^2*c^6*z^5 + c^8*z^5 = 0