2 a^8 c^6 x^7 y^4 + 4 a^6 b^2 c^6 x^7 y^4 - 24 a^4 b^4 c^6 x^7 y^4 + 28 a^2 b^6 c^6 x^7 y^4 - 10 b^8 c^6 x^7 y^4 - 8 a^6 c^8 x^7 y^4 - 4 a^4 b^2 c^8 x^7 y^4 + 16 a^2 b^4 c^8 x^7 y^4 - 4 b^6 c^8 x^7 y^4 + 12 a^4 c^10 x^7 y^4 - 4 a^2 b^2 c^10 x^7 y^4 + 8 b^4 c^10 x^7 y^4 - 8 a^2 c^12 x^7 y^4 + 4 b^2 c^12 x^7 y^4 + 2 c^14 x^7 y^4 + 14 a^8 c^6 x^6 y^5 - 20 a^6 b^2 c^6 x^6 y^5 - 24 a^4 b^4 c^6 x^6 y^5 + 52 a^2 b^6 c^6 x^6 y^5 - 22 b^8 c^6 x^6 y^5 - 40 a^6 c^8 x^6 y^5 + 60 a^4 b^2 c^8 x^6 y^5 - 48 a^2 b^4 c^8 x^6 y^5 + 28 b^6 c^8 x^6 y^5 + 36 a^4 c^10 x^6 y^5 - 28 a^2 b^2 c^10 x^6 y^5 + 8 b^4 c^10 x^6 y^5 - 8 a^2 c^12 x^6 y^5 - 12 b^2 c^12 x^6 y^5 - 2 c^14 x^6 y^5 + 22 a^8 c^6 x^5 y^6 - 52 a^6 b^2 c^6 x^5 y^6 + 24 a^4 b^4 c^6 x^5 y^6 + 20 a^2 b^6 c^6 x^5 y^6 - 14 b^8 c^6 x^5 y^6 - 28 a^6 c^8 x^5 y^6 + 48 a^4 b^2 c^8 x^5 y^6 - 60 a^2 b^4 c^8 x^5 y^6 + 40 b^6 c^8 x^5 y^6 - 8 a^4 c^10 x^5 y^6 + 28 a^2 b^2 c^10 x^5 y^6 - 36 b^4 c^10 x^5 y^6 + 12 a^2 c^12 x^5 y^6 + 8 b^2 c^12 x^5 y^6 + 2 c^14 x^5 y^6 + 10 a^8 c^6 x^4 y^7 - 28 a^6 b^2 c^6 x^4 y^7 + 24 a^4 b^4 c^6 x^4 y^7 - 4 a^2 b^6 c^6 x^4 y^7 - 2 b^8 c^6 x^4 y^7 + 4 a^6 c^8 x^4 y^7 - 16 a^4 b^2 c^8 x^4 y^7 + 4 a^2 b^4 c^8 x^4 y^7 + 8 b^6 c^8 x^4 y^7 - 8 a^4 c^10 x^4 y^7 + 4 a^2 b^2 c^10 x^4 y^7 - 12 b^4 c^10 x^4 y^7 - 4 a^2 c^12 x^4 y^7 + 8 b^2 c^12 x^4 y^7 - 2 c^14 x^4 y^7 - a^10 c^4 x^7 y^3 z - a^8 b^2 c^4 x^7 y^3 z + 18 a^6 b^4 c^4 x^7 y^3 z - 38 a^4 b^6 c^4 x^7 y^3 z + 31 a^2 b^8 c^4 x^7 y^3 z - 9 b^10 c^4 x^7 y^3 z + 5 a^8 c^6 x^7 y^3 z - 8 a^6 b^2 c^6 x^7 y^3 z - 34 a^4 b^4 c^6 x^7 y^3 z + 88 a^2 b^6 c^6 x^7 y^3 z - 51 b^8 c^6 x^7 y^3 z - 10 a^6 c^8 x^7 y^3 z + 30 a^4 b^2 c^8 x^7 y^3 z - 18 a^2 b^4 c^8 x^7 y^3 z + 14 b^6 c^8 x^7 y^3 z + 10 a^4 c^10 x^7 y^3 z - 32 a^2 b^2 c^10 x^7 y^3 z + 34 b^4 c^10 x^7 y^3 z - 5 a^2 c^12 x^7 y^3 z + 11 b^2 c^12 x^7 y^3 z + c^14 x^7 y^3 z - 6 a^10 c^4 x^6 y^4 z + 26 a^8 b^2 c^4 x^6 y^4 z - 28 a^6 b^4 c^4 x^6 y^4 z - 12 a^4 b^6 c^4 x^6 y^4 z + 34 a^2 b^8 c^4 x^6 y^4 z - 14 b^10 c^4 x^6 y^4 z + 28 a^8 c^6 x^6 y^4 z - 100 a^6 b^2 c^6 x^6 y^4 z + 124 a^4 b^4 c^6 x^6 y^4 z + 4 a^2 b^6 c^6 x^6 y^4 z - 56 b^8 c^6 x^6 y^4 z - 52 a^6 c^8 x^6 y^4 z + 88 a^4 b^2 c^8 x^6 y^4 z - 132 a^2 b^4 c^8 x^6 y^4 z + 128 b^6 c^8 x^6 y^4 z + 48 a^4 c^10 x^6 y^4 z + 20 a^2 b^2 c^10 x^6 y^4 z - 28 b^4 c^10 x^6 y^4 z - 22 a^2 c^12 x^6 y^4 z - 34 b^2 c^12 x^6 y^4 z + 4 c^14 x^6 y^4 z + 24 a^8 b^2 c^4 x^5 y^5 z - 72 a^6 b^4 c^4 x^5 y^5 z + 72 a^4 b^6 c^4 x^5 y^5 z - 24 a^2 b^8 c^4 x^5 y^5 z + 28 a^8 c^6 x^5 y^5 z - 8 a^6 b^2 c^6 x^5 y^5 z + 8 a^2 b^6 c^6 x^5 y^5 z - 28 b^8 c^6 x^5 y^5 z - 84 a^6 c^8 x^5 y^5 z - 44 a^4 b^2 c^8 x^5 y^5 z + 44 a^2 b^4 c^8 x^5 y^5 z + 84 b^6 c^8 x^5 y^5 z + 84 a^4 c^10 x^5 y^5 z - 84 b^4 c^10 x^5 y^5 z - 28 a^2 c^12 x^5 y^5 z + 28 b^2 c^12 x^5 y^5 z + 14 a^10 c^4 x^4 y^6 z - 34 a^8 b^2 c^4 x^4 y^6 z + 12 a^6 b^4 c^4 x^4 y^6 z + 28 a^4 b^6 c^4 x^4 y^6 z - 26 a^2 b^8 c^4 x^4 y^6 z + 6 b^10 c^4 x^4 y^6 z + 56 a^8 c^6 x^4 y^6 z - 4 a^6 b^2 c^6 x^4 y^6 z - 124 a^4 b^4 c^6 x^4 y^6 z + 100 a^2 b^6 c^6 x^4 y^6 z - 28 b^8 c^6 x^4 y^6 z - 128 a^6 c^8 x^4 y^6 z + 132 a^4 b^2 c^8 x^4 y^6 z - 88 a^2 b^4 c^8 x^4 y^6 z + 52 b^6 c^8 x^4 y^6 z + 28 a^4 c^10 x^4 y^6 z - 20 a^2 b^2 c^10 x^4 y^6 z - 48 b^4 c^10 x^4 y^6 z + 34 a^2 c^12 x^4 y^6 z + 22 b^2 c^12 x^4 y^6 z - 4 c^14 x^4 y^6 z + 9 a^10 c^4 x^3 y^7 z - 31 a^8 b^2 c^4 x^3 y^7 z + 38 a^6 b^4 c^4 x^3 y^7 z - 18 a^4 b^6 c^4 x^3 y^7 z + a^2 b^8 c^4 x^3 y^7 z + b^10 c^4 x^3 y^7 z + 51 a^8 c^6 x^3 y^7 z - 88 a^6 b^2 c^6 x^3 y^7 z + 34 a^4 b^4 c^6 x^3 y^7 z + 8 a^2 b^6 c^6 x^3 y^7 z - 5 b^8 c^6 x^3 y^7 z - 14 a^6 c^8 x^3 y^7 z + 18 a^4 b^2 c^8 x^3 y^7 z - 30 a^2 b^4 c^8 x^3 y^7 z + 10 b^6 c^8 x^3 y^7 z - 34 a^4 c^10 x^3 y^7 z + 32 a^2 b^2 c^10 x^3 y^7 z - 10 b^4 c^10 x^3 y^7 z - 11 a^2 c^12 x^3 y^7 z + 5 b^2 c^12 x^3 y^7 z - c^14 x^3 y^7 z - 4 a^8 b^4 c^2 x^7 y^2 z^2 + 16 a^6 b^6 c^2 x^7 y^2 z^2 - 24 a^4 b^8 c^2 x^7 y^2 z^2 + 16 a^2 b^10 c^2 x^7 y^2 z^2 - 4 b^12 c^2 x^7 y^2 z^2 + 4 a^8 b^2 c^4 x^7 y^2 z^2 - 48 a^4 b^6 c^4 x^7 y^2 z^2 + 80 a^2 b^8 c^4 x^7 y^2 z^2 - 36 b^10 c^4 x^7 y^2 z^2 - 16 a^6 b^2 c^6 x^7 y^2 z^2 + 48 a^4 b^4 c^6 x^7 y^2 z^2 - 64 b^8 c^6 x^7 y^2 z^2 + 24 a^4 b^2 c^8 x^7 y^2 z^2 - 80 a^2 b^4 c^8 x^7 y^2 z^2 + 64 b^6 c^8 x^7 y^2 z^2 - 16 a^2 b^2 c^10 x^7 y^2 z^2 + 36 b^4 c^10 x^7 y^2 z^2 + 4 b^2 c^12 x^7 y^2 z^2 + a^12 c^2 x^6 y^3 z^2 - 8 a^10 b^2 c^2 x^6 y^3 z^2 + 13 a^8 b^4 c^2 x^6 y^3 z^2 + 8 a^6 b^6 c^2 x^6 y^3 z^2 - 37 a^4 b^8 c^2 x^6 y^3 z^2 + 32 a^2 b^10 c^2 x^6 y^3 z^2 - 9 b^12 c^2 x^6 y^3 z^2 - 8 a^10 c^4 x^6 y^3 z^2 + 18 a^8 b^2 c^4 x^6 y^3 z^2 - 80 a^6 b^4 c^4 x^6 y^3 z^2 + 140 a^4 b^6 c^4 x^6 y^3 z^2 - 72 a^2 b^8 c^4 x^6 y^3 z^2 + 2 b^10 c^4 x^6 y^3 z^2 + 25 a^8 c^6 x^6 y^3 z^2 - 8 a^6 b^2 c^6 x^6 y^3 z^2 + 42 a^4 b^4 c^6 x^6 y^3 z^2 - 112 a^2 b^6 c^6 x^6 y^3 z^2 - 43 b^8 c^6 x^6 y^3 z^2 - 40 a^6 c^8 x^6 y^3 z^2 - 4 a^4 b^2 c^8 x^6 y^3 z^2 + 104 a^2 b^4 c^8 x^6 y^3 z^2 + 124 b^6 c^8 x^6 y^3 z^2 + 35 a^4 c^10 x^6 y^3 z^2 - 79 b^4 c^10 x^6 y^3 z^2 - 16 a^2 c^12 x^6 y^3 z^2 + 2 b^2 c^12 x^6 y^3 z^2 + 3 c^14 x^6 y^3 z^2 + 3 a^12 c^2 x^5 y^4 z^2 - 16 a^10 b^2 c^2 x^5 y^4 z^2 + 27 a^8 b^4 c^2 x^5 y^4 z^2 - 8 a^6 b^6 c^2 x^5 y^4 z^2 - 23 a^4 b^8 c^2 x^5 y^4 z^2 + 24 a^2 b^10 c^2 x^5 y^4 z^2 - 7 b^12 c^2 x^5 y^4 z^2 - 36 a^10 c^4 x^5 y^4 z^2 - 14 a^8 b^2 c^4 x^5 y^4 z^2 + 144 a^6 b^4 c^4 x^5 y^4 z^2 - 36 a^4 b^6 c^4 x^5 y^4 z^2 - 124 a^2 b^8 c^4 x^5 y^4 z^2 + 66 b^10 c^4 x^5 y^4 z^2 + 117 a^8 c^6 x^5 y^4 z^2 - 72 a^6 b^2 c^6 x^5 y^4 z^2 - 270 a^4 b^4 c^6 x^5 y^4 z^2 + 320 a^2 b^6 c^6 x^5 y^4 z^2 - 159 b^8 c^6 x^5 y^4 z^2 - 168 a^6 c^8 x^5 y^4 z^2 + 244 a^4 b^2 c^8 x^5 y^4 z^2 - 48 a^2 b^4 c^8 x^5 y^4 z^2 + 148 b^6 c^8 x^5 y^4 z^2 + 117 a^4 c^10 x^5 y^4 z^2 - 136 a^2 b^2 c^10 x^5 y^4 z^2 - 45 b^4 c^10 x^5 y^4 z^2 - 36 a^2 c^12 x^5 y^4 z^2 - 6 b^2 c^12 x^5 y^4 z^2 + 3 c^14 x^5 y^4 z^2 + 7 a^12 c^2 x^4 y^5 z^2 - 24 a^10 b^2 c^2 x^4 y^5 z^2 + 23 a^8 b^4 c^2 x^4 y^5 z^2 + 8 a^6 b^6 c^2 x^4 y^5 z^2 - 27 a^4 b^8 c^2 x^4 y^5 z^2 + 16 a^2 b^10 c^2 x^4 y^5 z^2 - 3 b^12 c^2 x^4 y^5 z^2 - 66 a^10 c^4 x^4 y^5 z^2 + 124 a^8 b^2 c^4 x^4 y^5 z^2 + 36 a^6 b^4 c^4 x^4 y^5 z^2 - 144 a^4 b^6 c^4 x^4 y^5 z^2 + 14 a^2 b^8 c^4 x^4 y^5 z^2 + 36 b^10 c^4 x^4 y^5 z^2 + 159 a^8 c^6 x^4 y^5 z^2 - 320 a^6 b^2 c^6 x^4 y^5 z^2 + 270 a^4 b^4 c^6 x^4 y^5 z^2 + 72 a^2 b^6 c^6 x^4 y^5 z^2 - 117 b^8 c^6 x^4 y^5 z^2 - 148 a^6 c^8 x^4 y^5 z^2 + 48 a^4 b^2 c^8 x^4 y^5 z^2 - 244 a^2 b^4 c^8 x^4 y^5 z^2 + 168 b^6 c^8 x^4 y^5 z^2 + 45 a^4 c^10 x^4 y^5 z^2 + 136 a^2 b^2 c^10 x^4 y^5 z^2 - 117 b^4 c^10 x^4 y^5 z^2 + 6 a^2 c^12 x^4 y^5 z^2 + 36 b^2 c^12 x^4 y^5 z^2 - 3 c^14 x^4 y^5 z^2 + 9 a^12 c^2 x^3 y^6 z^2 - 32 a^10 b^2 c^2 x^3 y^6 z^2 + 37 a^8 b^4 c^2 x^3 y^6 z^2 - 8 a^6 b^6 c^2 x^3 y^6 z^2 - 13 a^4 b^8 c^2 x^3 y^6 z^2 + 8 a^2 b^10 c^2 x^3 y^6 z^2 - b^12 c^2 x^3 y^6 z^2 - 2 a^10 c^4 x^3 y^6 z^2 + 72 a^8 b^2 c^4 x^3 y^6 z^2 - 140 a^6 b^4 c^4 x^3 y^6 z^2 + 80 a^4 b^6 c^4 x^3 y^6 z^2 - 18 a^2 b^8 c^4 x^3 y^6 z^2 + 8 b^10 c^4 x^3 y^6 z^2 + 43 a^8 c^6 x^3 y^6 z^2 + 112 a^6 b^2 c^6 x^3 y^6 z^2 - 42 a^4 b^4 c^6 x^3 y^6 z^2 + 8 a^2 b^6 c^6 x^3 y^6 z^2 - 25 b^8 c^6 x^3 y^6 z^2 - 124 a^6 c^8 x^3 y^6 z^2 - 104 a^4 b^2 c^8 x^3 y^6 z^2 + 4 a^2 b^4 c^8 x^3 y^6 z^2 + 40 b^6 c^8 x^3 y^6 z^2 + 79 a^4 c^10 x^3 y^6 z^2 - 35 b^4 c^10 x^3 y^6 z^2 - 2 a^2 c^12 x^3 y^6 z^2 + 16 b^2 c^12 x^3 y^6 z^2 - 3 c^14 x^3 y^6 z^2 + 4 a^12 c^2 x^2 y^7 z^2 - 16 a^10 b^2 c^2 x^2 y^7 z^2 + 24 a^8 b^4 c^2 x^2 y^7 z^2 - 16 a^6 b^6 c^2 x^2 y^7 z^2 + 4 a^4 b^8 c^2 x^2 y^7 z^2 + 36 a^10 c^4 x^2 y^7 z^2 - 80 a^8 b^2 c^4 x^2 y^7 z^2 + 48 a^6 b^4 c^4 x^2 y^7 z^2 - 4 a^2 b^8 c^4 x^2 y^7 z^2 + 64 a^8 c^6 x^2 y^7 z^2 - 48 a^4 b^4 c^6 x^2 y^7 z^2 + 16 a^2 b^6 c^6 x^2 y^7 z^2 - 64 a^6 c^8 x^2 y^7 z^2 + 80 a^4 b^2 c^8 x^2 y^7 z^2 - 24 a^2 b^4 c^8 x^2 y^7 z^2 - 36 a^4 c^10 x^2 y^7 z^2 + 16 a^2 b^2 c^10 x^2 y^7 z^2 - 4 a^2 c^12 x^2 y^7 z^2 + a^10 b^4 x^7 y z^3 - 5 a^8 b^6 x^7 y z^3 + 10 a^6 b^8 x^7 y z^3 - 10 a^4 b^10 x^7 y z^3 + 5 a^2 b^12 x^7 y z^3 - b^14 x^7 y z^3 + a^8 b^4 c^2 x^7 y z^3 + 8 a^6 b^6 c^2 x^7 y z^3 - 30 a^4 b^8 c^2 x^7 y z^3 + 32 a^2 b^10 c^2 x^7 y z^3 - 11 b^12 c^2 x^7 y z^3 - 18 a^6 b^4 c^4 x^7 y z^3 + 34 a^4 b^6 c^4 x^7 y z^3 + 18 a^2 b^8 c^4 x^7 y z^3 - 34 b^10 c^4 x^7 y z^3 + 38 a^4 b^4 c^6 x^7 y z^3 - 88 a^2 b^6 c^6 x^7 y z^3 - 14 b^8 c^6 x^7 y z^3 - 31 a^2 b^4 c^8 x^7 y z^3 + 51 b^6 c^8 x^7 y z^3 + 9 b^4 c^10 x^7 y z^3 - a^12 b^2 x^6 y^2 z^3 + 8 a^10 b^4 x^6 y^2 z^3 - 25 a^8 b^6 x^6 y^2 z^3 + 40 a^6 b^8 x^6 y^2 z^3 - 35 a^4 b^10 x^6 y^2 z^3 + 16 a^2 b^12 x^6 y^2 z^3 - 3 b^14 x^6 y^2 z^3 + 8 a^10 b^2 c^2 x^6 y^2 z^3 - 18 a^8 b^4 c^2 x^6 y^2 z^3 + 8 a^6 b^6 c^2 x^6 y^2 z^3 + 4 a^4 b^8 c^2 x^6 y^2 z^3 - 2 b^12 c^2 x^6 y^2 z^3 - 13 a^8 b^2 c^4 x^6 y^2 z^3 + 80 a^6 b^4 c^4 x^6 y^2 z^3 - 42 a^4 b^6 c^4 x^6 y^2 z^3 - 104 a^2 b^8 c^4 x^6 y^2 z^3 + 79 b^10 c^4 x^6 y^2 z^3 - 8 a^6 b^2 c^6 x^6 y^2 z^3 - 140 a^4 b^4 c^6 x^6 y^2 z^3 + 112 a^2 b^6 c^6 x^6 y^2 z^3 - 124 b^8 c^6 x^6 y^2 z^3 + 37 a^4 b^2 c^8 x^6 y^2 z^3 + 72 a^2 b^4 c^8 x^6 y^2 z^3 + 43 b^6 c^8 x^6 y^2 z^3 - 32 a^2 b^2 c^10 x^6 y^2 z^3 - 2 b^4 c^10 x^6 y^2 z^3 + 9 b^2 c^12 x^6 y^2 z^3 - 4 a^12 b^2 x^5 y^3 z^3 + 23 a^10 b^4 x^5 y^3 z^3 - 55 a^8 b^6 x^5 y^3 z^3 + 70 a^6 b^8 x^5 y^3 z^3 - 50 a^4 b^10 x^5 y^3 z^3 + 19 a^2 b^12 x^5 y^3 z^3 - 3 b^14 x^5 y^3 z^3 + 4 a^12 c^2 x^5 y^3 z^3 - 79 a^8 b^4 c^2 x^5 y^3 z^3 + 192 a^6 b^6 c^2 x^5 y^3 z^3 - 162 a^4 b^8 c^2 x^5 y^3 z^3 + 40 a^2 b^10 c^2 x^5 y^3 z^3 + 5 b^12 c^2 x^5 y^3 z^3 - 23 a^10 c^4 x^5 y^3 z^3 + 79 a^8 b^2 c^4 x^5 y^3 z^3 - 328 a^4 b^6 c^4 x^5 y^3 z^3 + 167 a^2 b^8 c^4 x^5 y^3 z^3 + 105 b^10 c^4 x^5 y^3 z^3 + 55 a^8 c^6 x^5 y^3 z^3 - 192 a^6 b^2 c^6 x^5 y^3 z^3 + 328 a^4 b^4 c^6 x^5 y^3 z^3 - 319 b^8 c^6 x^5 y^3 z^3 - 70 a^6 c^8 x^5 y^3 z^3 + 162 a^4 b^2 c^8 x^5 y^3 z^3 - 167 a^2 b^4 c^8 x^5 y^3 z^3 + 319 b^6 c^8 x^5 y^3 z^3 + 50 a^4 c^10 x^5 y^3 z^3 - 40 a^2 b^2 c^10 x^5 y^3 z^3 - 105 b^4 c^10 x^5 y^3 z^3 - 19 a^2 c^12 x^5 y^3 z^3 - 5 b^2 c^12 x^5 y^3 z^3 + 3 c^14 x^5 y^3 z^3 + a^14 x^4 y^4 z^3 - 11 a^12 b^2 x^4 y^4 z^3 + 41 a^10 b^4 x^4 y^4 z^3 - 75 a^8 b^6 x^4 y^4 z^3 + 75 a^6 b^8 x^4 y^4 z^3 - 41 a^4 b^10 x^4 y^4 z^3 + 11 a^2 b^12 x^4 y^4 z^3 - b^14 x^4 y^4 z^3 + 8 a^12 c^2 x^4 y^4 z^3 - 80 a^10 b^2 c^2 x^4 y^4 z^3 + 136 a^8 b^4 c^2 x^4 y^4 z^3 - 136 a^4 b^8 c^2 x^4 y^4 z^3 + 80 a^2 b^10 c^2 x^4 y^4 z^3 - 8 b^12 c^2 x^4 y^4 z^3 - 69 a^10 c^4 x^4 y^4 z^3 + 73 a^8 b^2 c^4 x^4 y^4 z^3 - 386 a^6 b^4 c^4 x^4 y^4 z^3 + 386 a^4 b^6 c^4 x^4 y^4 z^3 - 73 a^2 b^8 c^4 x^4 y^4 z^3 + 69 b^10 c^4 x^4 y^4 z^3 + 176 a^8 c^6 x^4 y^4 z^3 + 192 a^6 b^2 c^6 x^4 y^4 z^3 - 192 a^2 b^6 c^6 x^4 y^4 z^3 - 176 b^8 c^6 x^4 y^4 z^3 - 209 a^6 c^8 x^4 y^4 z^3 - 201 a^4 b^2 c^8 x^4 y^4 z^3 + 201 a^2 b^4 c^8 x^4 y^4 z^3 + 209 b^6 c^8 x^4 y^4 z^3 + 120 a^4 c^10 x^4 y^4 z^3 - 120 b^4 c^10 x^4 y^4 z^3 - 27 a^2 c^12 x^4 y^4 z^3 + 27 b^2 c^12 x^4 y^4 z^3 + 3 a^14 x^3 y^5 z^3 - 19 a^12 b^2 x^3 y^5 z^3 + 50 a^10 b^4 x^3 y^5 z^3 - 70 a^8 b^6 x^3 y^5 z^3 + 55 a^6 b^8 x^3 y^5 z^3 - 23 a^4 b^10 x^3 y^5 z^3 + 4 a^2 b^12 x^3 y^5 z^3 - 5 a^12 c^2 x^3 y^5 z^3 - 40 a^10 b^2 c^2 x^3 y^5 z^3 + 162 a^8 b^4 c^2 x^3 y^5 z^3 - 192 a^6 b^6 c^2 x^3 y^5 z^3 + 79 a^4 b^8 c^2 x^3 y^5 z^3 - 4 b^12 c^2 x^3 y^5 z^3 - 105 a^10 c^4 x^3 y^5 z^3 - 167 a^8 b^2 c^4 x^3 y^5 z^3 + 328 a^6 b^4 c^4 x^3 y^5 z^3 - 79 a^2 b^8 c^4 x^3 y^5 z^3 + 23 b^10 c^4 x^3 y^5 z^3 + 319 a^8 c^6 x^3 y^5 z^3 - 328 a^4 b^4 c^6 x^3 y^5 z^3 + 192 a^2 b^6 c^6 x^3 y^5 z^3 - 55 b^8 c^6 x^3 y^5 z^3 - 319 a^6 c^8 x^3 y^5 z^3 + 167 a^4 b^2 c^8 x^3 y^5 z^3 - 162 a^2 b^4 c^8 x^3 y^5 z^3 + 70 b^6 c^8 x^3 y^5 z^3 + 105 a^4 c^10 x^3 y^5 z^3 + 40 a^2 b^2 c^10 x^3 y^5 z^3 - 50 b^4 c^10 x^3 y^5 z^3 + 5 a^2 c^12 x^3 y^5 z^3 + 19 b^2 c^12 x^3 y^5 z^3 - 3 c^14 x^3 y^5 z^3 + 3 a^14 x^2 y^6 z^3 - 16 a^12 b^2 x^2 y^6 z^3 + 35 a^10 b^4 x^2 y^6 z^3 - 40 a^8 b^6 x^2 y^6 z^3 + 25 a^6 b^8 x^2 y^6 z^3 - 8 a^4 b^10 x^2 y^6 z^3 + a^2 b^12 x^2 y^6 z^3 + 2 a^12 c^2 x^2 y^6 z^3 - 4 a^8 b^4 c^2 x^2 y^6 z^3 - 8 a^6 b^6 c^2 x^2 y^6 z^3 + 18 a^4 b^8 c^2 x^2 y^6 z^3 - 8 a^2 b^10 c^2 x^2 y^6 z^3 - 79 a^10 c^4 x^2 y^6 z^3 + 104 a^8 b^2 c^4 x^2 y^6 z^3 + 42 a^6 b^4 c^4 x^2 y^6 z^3 - 80 a^4 b^6 c^4 x^2 y^6 z^3 + 13 a^2 b^8 c^4 x^2 y^6 z^3 + 124 a^8 c^6 x^2 y^6 z^3 - 112 a^6 b^2 c^6 x^2 y^6 z^3 + 140 a^4 b^4 c^6 x^2 y^6 z^3 + 8 a^2 b^6 c^6 x^2 y^6 z^3 - 43 a^6 c^8 x^2 y^6 z^3 - 72 a^4 b^2 c^8 x^2 y^6 z^3 - 37 a^2 b^4 c^8 x^2 y^6 z^3 + 2 a^4 c^10 x^2 y^6 z^3 + 32 a^2 b^2 c^10 x^2 y^6 z^3 - 9 a^2 c^12 x^2 y^6 z^3 + a^14 x y^7 z^3 - 5 a^12 b^2 x y^7 z^3 + 10 a^10 b^4 x y^7 z^3 - 10 a^8 b^6 x y^7 z^3 + 5 a^6 b^8 x y^7 z^3 - a^4 b^10 x y^7 z^3 + 11 a^12 c^2 x y^7 z^3 - 32 a^10 b^2 c^2 x y^7 z^3 + 30 a^8 b^4 c^2 x y^7 z^3 - 8 a^6 b^6 c^2 x y^7 z^3 - a^4 b^8 c^2 x y^7 z^3 + 34 a^10 c^4 x y^7 z^3 - 18 a^8 b^2 c^4 x y^7 z^3 - 34 a^6 b^4 c^4 x y^7 z^3 + 18 a^4 b^6 c^4 x y^7 z^3 + 14 a^8 c^6 x y^7 z^3 + 88 a^6 b^2 c^6 x y^7 z^3 - 38 a^4 b^4 c^6 x y^7 z^3 - 51 a^6 c^8 x y^7 z^3 + 31 a^4 b^2 c^8 x y^7 z^3 - 9 a^4 c^10 x y^7 z^3 - 2 a^8 b^6 x^7 z^4 + 8 a^6 b^8 x^7 z^4 - 12 a^4 b^10 x^7 z^4 + 8 a^2 b^12 x^7 z^4 - 2 b^14 x^7 z^4 - 4 a^6 b^6 c^2 x^7 z^4 + 4 a^4 b^8 c^2 x^7 z^4 + 4 a^2 b^10 c^2 x^7 z^4 - 4 b^12 c^2 x^7 z^4 + 24 a^4 b^6 c^4 x^7 z^4 - 16 a^2 b^8 c^4 x^7 z^4 - 8 b^10 c^4 x^7 z^4 - 28 a^2 b^6 c^6 x^7 z^4 + 4 b^8 c^6 x^7 z^4 + 10 b^6 c^8 x^7 z^4 + 6 a^10 b^4 x^6 y z^4 - 28 a^8 b^6 x^6 y z^4 + 52 a^6 b^8 x^6 y z^4 - 48 a^4 b^10 x^6 y z^4 + 22 a^2 b^12 x^6 y z^4 - 4 b^14 x^6 y z^4 - 26 a^8 b^4 c^2 x^6 y z^4 + 100 a^6 b^6 c^2 x^6 y z^4 - 88 a^4 b^8 c^2 x^6 y z^4 - 20 a^2 b^10 c^2 x^6 y z^4 + 34 b^12 c^2 x^6 y z^4 + 28 a^6 b^4 c^4 x^6 y z^4 - 124 a^4 b^6 c^4 x^6 y z^4 + 132 a^2 b^8 c^4 x^6 y z^4 + 28 b^10 c^4 x^6 y z^4 + 12 a^4 b^4 c^6 x^6 y z^4 - 4 a^2 b^6 c^6 x^6 y z^4 - 128 b^8 c^6 x^6 y z^4 - 34 a^2 b^4 c^8 x^6 y z^4 + 56 b^6 c^8 x^6 y z^4 + 14 b^4 c^10 x^6 y z^4 - 3 a^12 b^2 x^5 y^2 z^4 + 36 a^10 b^4 x^5 y^2 z^4 - 117 a^8 b^6 x^5 y^2 z^4 + 168 a^6 b^8 x^5 y^2 z^4 - 117 a^4 b^10 x^5 y^2 z^4 + 36 a^2 b^12 x^5 y^2 z^4 - 3 b^14 x^5 y^2 z^4 + 16 a^10 b^2 c^2 x^5 y^2 z^4 + 14 a^8 b^4 c^2 x^5 y^2 z^4 + 72 a^6 b^6 c^2 x^5 y^2 z^4 - 244 a^4 b^8 c^2 x^5 y^2 z^4 + 136 a^2 b^10 c^2 x^5 y^2 z^4 + 6 b^12 c^2 x^5 y^2 z^4 - 27 a^8 b^2 c^4 x^5 y^2 z^4 - 144 a^6 b^4 c^4 x^5 y^2 z^4 + 270 a^4 b^6 c^4 x^5 y^2 z^4 + 48 a^2 b^8 c^4 x^5 y^2 z^4 + 45 b^10 c^4 x^5 y^2 z^4 + 8 a^6 b^2 c^6 x^5 y^2 z^4 + 36 a^4 b^4 c^6 x^5 y^2 z^4 - 320 a^2 b^6 c^6 x^5 y^2 z^4 - 148 b^8 c^6 x^5 y^2 z^4 + 23 a^4 b^2 c^8 x^5 y^2 z^4 + 124 a^2 b^4 c^8 x^5 y^2 z^4 + 159 b^6 c^8 x^5 y^2 z^4 - 24 a^2 b^2 c^10 x^5 y^2 z^4 - 66 b^4 c^10 x^5 y^2 z^4 + 7 b^2 c^12 x^5 y^2 z^4 - a^14 x^4 y^3 z^4 - 8 a^12 b^2 x^4 y^3 z^4 + 69 a^10 b^4 x^4 y^3 z^4 - 176 a^8 b^6 x^4 y^3 z^4 + 209 a^6 b^8 x^4 y^3 z^4 - 120 a^4 b^10 x^4 y^3 z^4 + 27 a^2 b^12 x^4 y^3 z^4 + 11 a^12 c^2 x^4 y^3 z^4 + 80 a^10 b^2 c^2 x^4 y^3 z^4 - 73 a^8 b^4 c^2 x^4 y^3 z^4 - 192 a^6 b^6 c^2 x^4 y^3 z^4 + 201 a^4 b^8 c^2 x^4 y^3 z^4 - 27 b^12 c^2 x^4 y^3 z^4 - 41 a^10 c^4 x^4 y^3 z^4 - 136 a^8 b^2 c^4 x^4 y^3 z^4 + 386 a^6 b^4 c^4 x^4 y^3 z^4 - 201 a^2 b^8 c^4 x^4 y^3 z^4 + 120 b^10 c^4 x^4 y^3 z^4 + 75 a^8 c^6 x^4 y^3 z^4 - 386 a^4 b^4 c^6 x^4 y^3 z^4 + 192 a^2 b^6 c^6 x^4 y^3 z^4 - 209 b^8 c^6 x^4 y^3 z^4 - 75 a^6 c^8 x^4 y^3 z^4 + 136 a^4 b^2 c^8 x^4 y^3 z^4 + 73 a^2 b^4 c^8 x^4 y^3 z^4 + 176 b^6 c^8 x^4 y^3 z^4 + 41 a^4 c^10 x^4 y^3 z^4 - 80 a^2 b^2 c^10 x^4 y^3 z^4 - 69 b^4 c^10 x^4 y^3 z^4 - 11 a^2 c^12 x^4 y^3 z^4 + 8 b^2 c^12 x^4 y^3 z^4 + c^14 x^4 y^3 z^4 - 27 a^12 b^2 x^3 y^4 z^4 + 120 a^10 b^4 x^3 y^4 z^4 - 209 a^8 b^6 x^3 y^4 z^4 + 176 a^6 b^8 x^3 y^4 z^4 - 69 a^4 b^10 x^3 y^4 z^4 + 8 a^2 b^12 x^3 y^4 z^4 + b^14 x^3 y^4 z^4 + 27 a^12 c^2 x^3 y^4 z^4 - 201 a^8 b^4 c^2 x^3 y^4 z^4 + 192 a^6 b^6 c^2 x^3 y^4 z^4 + 73 a^4 b^8 c^2 x^3 y^4 z^4 - 80 a^2 b^10 c^2 x^3 y^4 z^4 - 11 b^12 c^2 x^3 y^4 z^4 - 120 a^10 c^4 x^3 y^4 z^4 + 201 a^8 b^2 c^4 x^3 y^4 z^4 - 386 a^4 b^6 c^4 x^3 y^4 z^4 + 136 a^2 b^8 c^4 x^3 y^4 z^4 + 41 b^10 c^4 x^3 y^4 z^4 + 209 a^8 c^6 x^3 y^4 z^4 - 192 a^6 b^2 c^6 x^3 y^4 z^4 + 386 a^4 b^4 c^6 x^3 y^4 z^4 - 75 b^8 c^6 x^3 y^4 z^4 - 176 a^6 c^8 x^3 y^4 z^4 - 73 a^4 b^2 c^8 x^3 y^4 z^4 - 136 a^2 b^4 c^8 x^3 y^4 z^4 + 75 b^6 c^8 x^3 y^4 z^4 + 69 a^4 c^10 x^3 y^4 z^4 + 80 a^2 b^2 c^10 x^3 y^4 z^4 - 41 b^4 c^10 x^3 y^4 z^4 - 8 a^2 c^12 x^3 y^4 z^4 + 11 b^2 c^12 x^3 y^4 z^4 - c^14 x^3 y^4 z^4 + 3 a^14 x^2 y^5 z^4 - 36 a^12 b^2 x^2 y^5 z^4 + 117 a^10 b^4 x^2 y^5 z^4 - 168 a^8 b^6 x^2 y^5 z^4 + 117 a^6 b^8 x^2 y^5 z^4 - 36 a^4 b^10 x^2 y^5 z^4 + 3 a^2 b^12 x^2 y^5 z^4 - 6 a^12 c^2 x^2 y^5 z^4 - 136 a^10 b^2 c^2 x^2 y^5 z^4 + 244 a^8 b^4 c^2 x^2 y^5 z^4 - 72 a^6 b^6 c^2 x^2 y^5 z^4 - 14 a^4 b^8 c^2 x^2 y^5 z^4 - 16 a^2 b^10 c^2 x^2 y^5 z^4 - 45 a^10 c^4 x^2 y^5 z^4 - 48 a^8 b^2 c^4 x^2 y^5 z^4 - 270 a^6 b^4 c^4 x^2 y^5 z^4 + 144 a^4 b^6 c^4 x^2 y^5 z^4 + 27 a^2 b^8 c^4 x^2 y^5 z^4 + 148 a^8 c^6 x^2 y^5 z^4 + 320 a^6 b^2 c^6 x^2 y^5 z^4 - 36 a^4 b^4 c^6 x^2 y^5 z^4 - 8 a^2 b^6 c^6 x^2 y^5 z^4 - 159 a^6 c^8 x^2 y^5 z^4 - 124 a^4 b^2 c^8 x^2 y^5 z^4 - 23 a^2 b^4 c^8 x^2 y^5 z^4 + 66 a^4 c^10 x^2 y^5 z^4 + 24 a^2 b^2 c^10 x^2 y^5 z^4 - 7 a^2 c^12 x^2 y^5 z^4 + 4 a^14 x y^6 z^4 - 22 a^12 b^2 x y^6 z^4 + 48 a^10 b^4 x y^6 z^4 - 52 a^8 b^6 x y^6 z^4 + 28 a^6 b^8 x y^6 z^4 - 6 a^4 b^10 x y^6 z^4 - 34 a^12 c^2 x y^6 z^4 + 20 a^10 b^2 c^2 x y^6 z^4 + 88 a^8 b^4 c^2 x y^6 z^4 - 100 a^6 b^6 c^2 x y^6 z^4 + 26 a^4 b^8 c^2 x y^6 z^4 - 28 a^10 c^4 x y^6 z^4 - 132 a^8 b^2 c^4 x y^6 z^4 + 124 a^6 b^4 c^4 x y^6 z^4 - 28 a^4 b^6 c^4 x y^6 z^4 + 128 a^8 c^6 x y^6 z^4 + 4 a^6 b^2 c^6 x y^6 z^4 - 12 a^4 b^4 c^6 x y^6 z^4 - 56 a^6 c^8 x y^6 z^4 + 34 a^4 b^2 c^8 x y^6 z^4 - 14 a^4 c^10 x y^6 z^4 + 2 a^14 y^7 z^4 - 8 a^12 b^2 y^7 z^4 + 12 a^10 b^4 y^7 z^4 - 8 a^8 b^6 y^7 z^4 + 2 a^6 b^8 y^7 z^4 + 4 a^12 c^2 y^7 z^4 - 4 a^10 b^2 c^2 y^7 z^4 - 4 a^8 b^4 c^2 y^7 z^4 + 4 a^6 b^6 c^2 y^7 z^4 + 8 a^10 c^4 y^7 z^4 + 16 a^8 b^2 c^4 y^7 z^4 - 24 a^6 b^4 c^4 y^7 z^4 - 4 a^8 c^6 y^7 z^4 + 28 a^6 b^2 c^6 y^7 z^4 - 10 a^6 c^8 y^7 z^4 - 14 a^8 b^6 x^6 z^5 + 40 a^6 b^8 x^6 z^5 - 36 a^4 b^10 x^6 z^5 + 8 a^2 b^12 x^6 z^5 + 2 b^14 x^6 z^5 + 20 a^6 b^6 c^2 x^6 z^5 - 60 a^4 b^8 c^2 x^6 z^5 + 28 a^2 b^10 c^2 x^6 z^5 + 12 b^12 c^2 x^6 z^5 + 24 a^4 b^6 c^4 x^6 z^5 + 48 a^2 b^8 c^4 x^6 z^5 - 8 b^10 c^4 x^6 z^5 - 52 a^2 b^6 c^6 x^6 z^5 - 28 b^8 c^6 x^6 z^5 + 22 b^6 c^8 x^6 z^5 - 28 a^8 b^6 x^5 y z^5 + 84 a^6 b^8 x^5 y z^5 - 84 a^4 b^10 x^5 y z^5 + 28 a^2 b^12 x^5 y z^5 - 24 a^8 b^4 c^2 x^5 y z^5 + 8 a^6 b^6 c^2 x^5 y z^5 + 44 a^4 b^8 c^2 x^5 y z^5 - 28 b^12 c^2 x^5 y z^5 + 72 a^6 b^4 c^4 x^5 y z^5 - 44 a^2 b^8 c^4 x^5 y z^5 + 84 b^10 c^4 x^5 y z^5 - 72 a^4 b^4 c^6 x^5 y z^5 - 8 a^2 b^6 c^6 x^5 y z^5 - 84 b^8 c^6 x^5 y z^5 + 24 a^2 b^4 c^8 x^5 y z^5 + 28 b^6 c^8 x^5 y z^5 - 7 a^12 b^2 x^4 y^2 z^5 + 66 a^10 b^4 x^4 y^2 z^5 - 159 a^8 b^6 x^4 y^2 z^5 + 148 a^6 b^8 x^4 y^2 z^5 - 45 a^4 b^10 x^4 y^2 z^5 - 6 a^2 b^12 x^4 y^2 z^5 + 3 b^14 x^4 y^2 z^5 + 24 a^10 b^2 c^2 x^4 y^2 z^5 - 124 a^8 b^4 c^2 x^4 y^2 z^5 + 320 a^6 b^6 c^2 x^4 y^2 z^5 - 48 a^4 b^8 c^2 x^4 y^2 z^5 - 136 a^2 b^10 c^2 x^4 y^2 z^5 - 36 b^12 c^2 x^4 y^2 z^5 - 23 a^8 b^2 c^4 x^4 y^2 z^5 - 36 a^6 b^4 c^4 x^4 y^2 z^5 - 270 a^4 b^6 c^4 x^4 y^2 z^5 + 244 a^2 b^8 c^4 x^4 y^2 z^5 + 117 b^10 c^4 x^4 y^2 z^5 - 8 a^6 b^2 c^6 x^4 y^2 z^5 + 144 a^4 b^4 c^6 x^4 y^2 z^5 - 72 a^2 b^6 c^6 x^4 y^2 z^5 - 168 b^8 c^6 x^4 y^2 z^5 + 27 a^4 b^2 c^8 x^4 y^2 z^5 - 14 a^2 b^4 c^8 x^4 y^2 z^5 + 117 b^6 c^8 x^4 y^2 z^5 - 16 a^2 b^2 c^10 x^4 y^2 z^5 - 36 b^4 c^10 x^4 y^2 z^5 + 3 b^2 c^12 x^4 y^2 z^5 - 3 a^14 x^3 y^3 z^5 + 5 a^12 b^2 x^3 y^3 z^5 + 105 a^10 b^4 x^3 y^3 z^5 - 319 a^8 b^6 x^3 y^3 z^5 + 319 a^6 b^8 x^3 y^3 z^5 - 105 a^4 b^10 x^3 y^3 z^5 - 5 a^2 b^12 x^3 y^3 z^5 + 3 b^14 x^3 y^3 z^5 + 19 a^12 c^2 x^3 y^3 z^5 + 40 a^10 b^2 c^2 x^3 y^3 z^5 + 167 a^8 b^4 c^2 x^3 y^3 z^5 - 167 a^4 b^8 c^2 x^3 y^3 z^5 - 40 a^2 b^10 c^2 x^3 y^3 z^5 - 19 b^12 c^2 x^3 y^3 z^5 - 50 a^10 c^4 x^3 y^3 z^5 - 162 a^8 b^2 c^4 x^3 y^3 z^5 - 328 a^6 b^4 c^4 x^3 y^3 z^5 + 328 a^4 b^6 c^4 x^3 y^3 z^5 + 162 a^2 b^8 c^4 x^3 y^3 z^5 + 50 b^10 c^4 x^3 y^3 z^5 + 70 a^8 c^6 x^3 y^3 z^5 + 192 a^6 b^2 c^6 x^3 y^3 z^5 - 192 a^2 b^6 c^6 x^3 y^3 z^5 - 70 b^8 c^6 x^3 y^3 z^5 - 55 a^6 c^8 x^3 y^3 z^5 - 79 a^4 b^2 c^8 x^3 y^3 z^5 + 79 a^2 b^4 c^8 x^3 y^3 z^5 + 55 b^6 c^8 x^3 y^3 z^5 + 23 a^4 c^10 x^3 y^3 z^5 - 23 b^4 c^10 x^3 y^3 z^5 - 4 a^2 c^12 x^3 y^3 z^5 + 4 b^2 c^12 x^3 y^3 z^5 - 3 a^14 x^2 y^4 z^5 + 6 a^12 b^2 x^2 y^4 z^5 + 45 a^10 b^4 x^2 y^4 z^5 - 148 a^8 b^6 x^2 y^4 z^5 + 159 a^6 b^8 x^2 y^4 z^5 - 66 a^4 b^10 x^2 y^4 z^5 + 7 a^2 b^12 x^2 y^4 z^5 + 36 a^12 c^2 x^2 y^4 z^5 + 136 a^10 b^2 c^2 x^2 y^4 z^5 + 48 a^8 b^4 c^2 x^2 y^4 z^5 - 320 a^6 b^6 c^2 x^2 y^4 z^5 + 124 a^4 b^8 c^2 x^2 y^4 z^5 - 24 a^2 b^10 c^2 x^2 y^4 z^5 - 117 a^10 c^4 x^2 y^4 z^5 - 244 a^8 b^2 c^4 x^2 y^4 z^5 + 270 a^6 b^4 c^4 x^2 y^4 z^5 + 36 a^4 b^6 c^4 x^2 y^4 z^5 + 23 a^2 b^8 c^4 x^2 y^4 z^5 + 168 a^8 c^6 x^2 y^4 z^5 + 72 a^6 b^2 c^6 x^2 y^4 z^5 - 144 a^4 b^4 c^6 x^2 y^4 z^5 + 8 a^2 b^6 c^6 x^2 y^4 z^5 - 117 a^6 c^8 x^2 y^4 z^5 + 14 a^4 b^2 c^8 x^2 y^4 z^5 - 27 a^2 b^4 c^8 x^2 y^4 z^5 + 36 a^4 c^10 x^2 y^4 z^5 + 16 a^2 b^2 c^10 x^2 y^4 z^5 - 3 a^2 c^12 x^2 y^4 z^5 - 28 a^12 b^2 x y^5 z^5 + 84 a^10 b^4 x y^5 z^5 - 84 a^8 b^6 x y^5 z^5 + 28 a^6 b^8 x y^5 z^5 + 28 a^12 c^2 x y^5 z^5 - 44 a^8 b^4 c^2 x y^5 z^5 - 8 a^6 b^6 c^2 x y^5 z^5 + 24 a^4 b^8 c^2 x y^5 z^5 - 84 a^10 c^4 x y^5 z^5 + 44 a^8 b^2 c^4 x y^5 z^5 - 72 a^4 b^6 c^4 x y^5 z^5 + 84 a^8 c^6 x y^5 z^5 + 8 a^6 b^2 c^6 x y^5 z^5 + 72 a^4 b^4 c^6 x y^5 z^5 - 28 a^6 c^8 x y^5 z^5 - 24 a^4 b^2 c^8 x y^5 z^5 - 2 a^14 y^6 z^5 - 8 a^12 b^2 y^6 z^5 + 36 a^10 b^4 y^6 z^5 - 40 a^8 b^6 y^6 z^5 + 14 a^6 b^8 y^6 z^5 - 12 a^12 c^2 y^6 z^5 - 28 a^10 b^2 c^2 y^6 z^5 + 60 a^8 b^4 c^2 y^6 z^5 - 20 a^6 b^6 c^2 y^6 z^5 + 8 a^10 c^4 y^6 z^5 - 48 a^8 b^2 c^4 y^6 z^5 - 24 a^6 b^4 c^4 y^6 z^5 + 28 a^8 c^6 y^6 z^5 + 52 a^6 b^2 c^6 y^6 z^5 - 22 a^6 c^8 y^6 z^5 - 22 a^8 b^6 x^5 z^6 + 28 a^6 b^8 x^5 z^6 + 8 a^4 b^10 x^5 z^6 - 12 a^2 b^12 x^5 z^6 - 2 b^14 x^5 z^6 + 52 a^6 b^6 c^2 x^5 z^6 - 48 a^4 b^8 c^2 x^5 z^6 - 28 a^2 b^10 c^2 x^5 z^6 - 8 b^12 c^2 x^5 z^6 - 24 a^4 b^6 c^4 x^5 z^6 + 60 a^2 b^8 c^4 x^5 z^6 + 36 b^10 c^4 x^5 z^6 - 20 a^2 b^6 c^6 x^5 z^6 - 40 b^8 c^6 x^5 z^6 + 14 b^6 c^8 x^5 z^6 - 14 a^10 b^4 x^4 y z^6 - 56 a^8 b^6 x^4 y z^6 + 128 a^6 b^8 x^4 y z^6 - 28 a^4 b^10 x^4 y z^6 - 34 a^2 b^12 x^4 y z^6 + 4 b^14 x^4 y z^6 + 34 a^8 b^4 c^2 x^4 y z^6 + 4 a^6 b^6 c^2 x^4 y z^6 - 132 a^4 b^8 c^2 x^4 y z^6 + 20 a^2 b^10 c^2 x^4 y z^6 - 22 b^12 c^2 x^4 y z^6 - 12 a^6 b^4 c^4 x^4 y z^6 + 124 a^4 b^6 c^4 x^4 y z^6 + 88 a^2 b^8 c^4 x^4 y z^6 + 48 b^10 c^4 x^4 y z^6 - 28 a^4 b^4 c^6 x^4 y z^6 - 100 a^2 b^6 c^6 x^4 y z^6 - 52 b^8 c^6 x^4 y z^6 + 26 a^2 b^4 c^8 x^4 y z^6 + 28 b^6 c^8 x^4 y z^6 - 6 b^4 c^10 x^4 y z^6 - 9 a^12 b^2 x^3 y^2 z^6 + 2 a^10 b^4 x^3 y^2 z^6 - 43 a^8 b^6 x^3 y^2 z^6 + 124 a^6 b^8 x^3 y^2 z^6 - 79 a^4 b^10 x^3 y^2 z^6 + 2 a^2 b^12 x^3 y^2 z^6 + 3 b^14 x^3 y^2 z^6 + 32 a^10 b^2 c^2 x^3 y^2 z^6 - 72 a^8 b^4 c^2 x^3 y^2 z^6 - 112 a^6 b^6 c^2 x^3 y^2 z^6 + 104 a^4 b^8 c^2 x^3 y^2 z^6 - 16 b^12 c^2 x^3 y^2 z^6 - 37 a^8 b^2 c^4 x^3 y^2 z^6 + 140 a^6 b^4 c^4 x^3 y^2 z^6 + 42 a^4 b^6 c^4 x^3 y^2 z^6 - 4 a^2 b^8 c^4 x^3 y^2 z^6 + 35 b^10 c^4 x^3 y^2 z^6 + 8 a^6 b^2 c^6 x^3 y^2 z^6 - 80 a^4 b^4 c^6 x^3 y^2 z^6 - 8 a^2 b^6 c^6 x^3 y^2 z^6 - 40 b^8 c^6 x^3 y^2 z^6 + 13 a^4 b^2 c^8 x^3 y^2 z^6 + 18 a^2 b^4 c^8 x^3 y^2 z^6 + 25 b^6 c^8 x^3 y^2 z^6 - 8 a^2 b^2 c^10 x^3 y^2 z^6 - 8 b^4 c^10 x^3 y^2 z^6 + b^2 c^12 x^3 y^2 z^6 - 3 a^14 x^2 y^3 z^6 - 2 a^12 b^2 x^2 y^3 z^6 + 79 a^10 b^4 x^2 y^3 z^6 - 124 a^8 b^6 x^2 y^3 z^6 + 43 a^6 b^8 x^2 y^3 z^6 - 2 a^4 b^10 x^2 y^3 z^6 + 9 a^2 b^12 x^2 y^3 z^6 + 16 a^12 c^2 x^2 y^3 z^6 - 104 a^8 b^4 c^2 x^2 y^3 z^6 + 112 a^6 b^6 c^2 x^2 y^3 z^6 + 72 a^4 b^8 c^2 x^2 y^3 z^6 - 32 a^2 b^10 c^2 x^2 y^3 z^6 - 35 a^10 c^4 x^2 y^3 z^6 + 4 a^8 b^2 c^4 x^2 y^3 z^6 - 42 a^6 b^4 c^4 x^2 y^3 z^6 - 140 a^4 b^6 c^4 x^2 y^3 z^6 + 37 a^2 b^8 c^4 x^2 y^3 z^6 + 40 a^8 c^6 x^2 y^3 z^6 + 8 a^6 b^2 c^6 x^2 y^3 z^6 + 80 a^4 b^4 c^6 x^2 y^3 z^6 - 8 a^2 b^6 c^6 x^2 y^3 z^6 - 25 a^6 c^8 x^2 y^3 z^6 - 18 a^4 b^2 c^8 x^2 y^3 z^6 - 13 a^2 b^4 c^8 x^2 y^3 z^6 + 8 a^4 c^10 x^2 y^3 z^6 + 8 a^2 b^2 c^10 x^2 y^3 z^6 - a^2 c^12 x^2 y^3 z^6 - 4 a^14 x y^4 z^6 + 34 a^12 b^2 x y^4 z^6 + 28 a^10 b^4 x y^4 z^6 - 128 a^8 b^6 x y^4 z^6 + 56 a^6 b^8 x y^4 z^6 + 14 a^4 b^10 x y^4 z^6 + 22 a^12 c^2 x y^4 z^6 - 20 a^10 b^2 c^2 x y^4 z^6 + 132 a^8 b^4 c^2 x y^4 z^6 - 4 a^6 b^6 c^2 x y^4 z^6 - 34 a^4 b^8 c^2 x y^4 z^6 - 48 a^10 c^4 x y^4 z^6 - 88 a^8 b^2 c^4 x y^4 z^6 - 124 a^6 b^4 c^4 x y^4 z^6 + 12 a^4 b^6 c^4 x y^4 z^6 + 52 a^8 c^6 x y^4 z^6 + 100 a^6 b^2 c^6 x y^4 z^6 + 28 a^4 b^4 c^6 x y^4 z^6 - 28 a^6 c^8 x y^4 z^6 - 26 a^4 b^2 c^8 x y^4 z^6 + 6 a^4 c^10 x y^4 z^6 + 2 a^14 y^5 z^6 + 12 a^12 b^2 y^5 z^6 - 8 a^10 b^4 y^5 z^6 - 28 a^8 b^6 y^5 z^6 + 22 a^6 b^8 y^5 z^6 + 8 a^12 c^2 y^5 z^6 + 28 a^10 b^2 c^2 y^5 z^6 + 48 a^8 b^4 c^2 y^5 z^6 - 52 a^6 b^6 c^2 y^5 z^6 - 36 a^10 c^4 y^5 z^6 - 60 a^8 b^2 c^4 y^5 z^6 + 24 a^6 b^4 c^4 y^5 z^6 + 40 a^8 c^6 y^5 z^6 + 20 a^6 b^2 c^6 y^5 z^6 - 14 a^6 c^8 y^5 z^6 - 10 a^8 b^6 x^4 z^7 - 4 a^6 b^8 x^4 z^7 + 8 a^4 b^10 x^4 z^7 + 4 a^2 b^12 x^4 z^7 + 2 b^14 x^4 z^7 + 28 a^6 b^6 c^2 x^4 z^7 + 16 a^4 b^8 c^2 x^4 z^7 - 4 a^2 b^10 c^2 x^4 z^7 - 8 b^12 c^2 x^4 z^7 - 24 a^4 b^6 c^4 x^4 z^7 - 4 a^2 b^8 c^4 x^4 z^7 + 12 b^10 c^4 x^4 z^7 + 4 a^2 b^6 c^6 x^4 z^7 - 8 b^8 c^6 x^4 z^7 + 2 b^6 c^8 x^4 z^7 - 9 a^10 b^4 x^3 y z^7 - 51 a^8 b^6 x^3 y z^7 + 14 a^6 b^8 x^3 y z^7 + 34 a^4 b^10 x^3 y z^7 + 11 a^2 b^12 x^3 y z^7 + b^14 x^3 y z^7 + 31 a^8 b^4 c^2 x^3 y z^7 + 88 a^6 b^6 c^2 x^3 y z^7 - 18 a^4 b^8 c^2 x^3 y z^7 - 32 a^2 b^10 c^2 x^3 y z^7 - 5 b^12 c^2 x^3 y z^7 - 38 a^6 b^4 c^4 x^3 y z^7 - 34 a^4 b^6 c^4 x^3 y z^7 + 30 a^2 b^8 c^4 x^3 y z^7 + 10 b^10 c^4 x^3 y z^7 + 18 a^4 b^4 c^6 x^3 y z^7 - 8 a^2 b^6 c^6 x^3 y z^7 - 10 b^8 c^6 x^3 y z^7 - a^2 b^4 c^8 x^3 y z^7 + 5 b^6 c^8 x^3 y z^7 - b^4 c^10 x^3 y z^7 - 4 a^12 b^2 x^2 y^2 z^7 - 36 a^10 b^4 x^2 y^2 z^7 - 64 a^8 b^6 x^2 y^2 z^7 + 64 a^6 b^8 x^2 y^2 z^7 + 36 a^4 b^10 x^2 y^2 z^7 + 4 a^2 b^12 x^2 y^2 z^7 + 16 a^10 b^2 c^2 x^2 y^2 z^7 + 80 a^8 b^4 c^2 x^2 y^2 z^7 - 80 a^4 b^8 c^2 x^2 y^2 z^7 - 16 a^2 b^10 c^2 x^2 y^2 z^7 - 24 a^8 b^2 c^4 x^2 y^2 z^7 - 48 a^6 b^4 c^4 x^2 y^2 z^7 + 48 a^4 b^6 c^4 x^2 y^2 z^7 + 24 a^2 b^8 c^4 x^2 y^2 z^7 + 16 a^6 b^2 c^6 x^2 y^2 z^7 - 16 a^2 b^6 c^6 x^2 y^2 z^7 - 4 a^4 b^2 c^8 x^2 y^2 z^7 + 4 a^2 b^4 c^8 x^2 y^2 z^7 - a^14 x y^3 z^7 - 11 a^12 b^2 x y^3 z^7 - 34 a^10 b^4 x y^3 z^7 - 14 a^8 b^6 x y^3 z^7 + 51 a^6 b^8 x y^3 z^7 + 9 a^4 b^10 x y^3 z^7 + 5 a^12 c^2 x y^3 z^7 + 32 a^10 b^2 c^2 x y^3 z^7 + 18 a^8 b^4 c^2 x y^3 z^7 - 88 a^6 b^6 c^2 x y^3 z^7 - 31 a^4 b^8 c^2 x y^3 z^7 - 10 a^10 c^4 x y^3 z^7 - 30 a^8 b^2 c^4 x y^3 z^7 + 34 a^6 b^4 c^4 x y^3 z^7 + 38 a^4 b^6 c^4 x y^3 z^7 + 10 a^8 c^6 x y^3 z^7 + 8 a^6 b^2 c^6 x y^3 z^7 - 18 a^4 b^4 c^6 x y^3 z^7 - 5 a^6 c^8 x y^3 z^7 + a^4 b^2 c^8 x y^3 z^7 + a^4 c^10 x y^3 z^7 - 2 a^14 y^4 z^7 - 4 a^12 b^2 y^4 z^7 - 8 a^10 b^4 y^4 z^7 + 4 a^8 b^6 y^4 z^7 + 10 a^6 b^8 y^4 z^7 + 8 a^12 c^2 y^4 z^7 + 4 a^10 b^2 c^2 y^4 z^7 - 16 a^8 b^4 c^2 y^4 z^7 - 28 a^6 b^6 c^2 y^4 z^7 - 12 a^10 c^4 y^4 z^7 + 4 a^8 b^2 c^4 y^4 z^7 + 24 a^6 b^4 c^4 y^4 z^7 + 8 a^8 c^6 y^4 z^7 - 4 a^6 b^2 c^6 y^4 z^7 - 2 a^6 c^8 y^4 z^7=0