-a^4 c^4 x^7 y^2 - a^2 b^2 c^4 x^7 y^2 + 2 b^4 c^4 x^7 y^2 + 2 a^2 c^6 x^7 y^2 - b^2 c^6 x^7 y^2 - c^8 x^7 y^2 + 8 a^4 c^4 x^6 y^3 - 7 a^2 b^2 c^4 x^6 y^3 - b^4 c^4 x^6 y^3 - 13 a^2 c^6 x^6 y^3 + 8 b^2 c^6 x^6 y^3 + 5 c^8 x^6 y^3 - 16 a^4 c^4 x^5 y^4 + 26 a^2 b^2 c^4 x^5 y^4 - 10 b^4 c^4 x^5 y^4 + 14 a^2 c^6 x^5 y^4 - 4 b^2 c^6 x^5 y^4 + 2 c^8 x^5 y^4 + 10 a^4 c^4 x^4 y^5 - 26 a^2 b^2 c^4 x^4 y^5 + 16 b^4 c^4 x^4 y^5 + 4 a^2 c^6 x^4 y^5 - 14 b^2 c^6 x^4 y^5 - 2 c^8 x^4 y^5 + a^4 c^4 x^3 y^6 + 7 a^2 b^2 c^4 x^3 y^6 - 8 b^4 c^4 x^3 y^6 - 8 a^2 c^6 x^3 y^6 + 13 b^2 c^6 x^3 y^6 - 5 c^8 x^3 y^6 - 2 a^4 c^4 x^2 y^7 + a^2 b^2 c^4 x^2 y^7 + b^4 c^4 x^2 y^7 + a^2 c^6 x^2 y^7 - 2 b^2 c^6 x^2 y^7 + c^8 x^2 y^7 + 3 a^2 b^4 c^2 x^7 y z - 3 b^6 c^2 x^7 y z - 3 a^2 b^2 c^4 x^7 y z + 3 b^2 c^6 x^7 y z + 3 a^6 c^2 x^6 y^2 z - 15 a^4 b^2 c^2 x^6 y^2 z + 15 a^2 b^4 c^2 x^6 y^2 z - 3 b^6 c^2 x^6 y^2 z - 6 a^4 c^4 x^6 y^2 z + 42 a^2 b^2 c^4 x^6 y^2 z - 12 b^4 c^4 x^6 y^2 z + 3 a^2 c^6 x^6 y^2 z - 21 b^2 c^6 x^6 y^2 z - 9 a^6 c^2 x^5 y^3 z + 33 a^4 b^2 c^2 x^5 y^3 z - 42 a^2 b^4 c^2 x^5 y^3 z + 18 b^6 c^2 x^5 y^3 z - 63 a^2 b^2 c^4 x^5 y^3 z + 24 b^4 c^4 x^5 y^3 z + 21 a^2 c^6 x^5 y^3 z - 6 b^2 c^6 x^5 y^3 z - 12 c^8 x^5 y^3 z + 18 a^6 c^2 x^4 y^4 z - 42 a^4 b^2 c^2 x^4 y^4 z + 42 a^2 b^4 c^2 x^4 y^4 z - 18 b^6 c^2 x^4 y^4 z + 18 a^4 c^4 x^4 y^4 z - 18 b^4 c^4 x^4 y^4 z - 36 a^2 c^6 x^4 y^4 z + 36 b^2 c^6 x^4 y^4 z - 18 a^6 c^2 x^3 y^5 z + 42 a^4 b^2 c^2 x^3 y^5 z - 33 a^2 b^4 c^2 x^3 y^5 z + 9 b^6 c^2 x^3 y^5 z - 24 a^4 c^4 x^3 y^5 z + 63 a^2 b^2 c^4 x^3 y^5 z + 6 a^2 c^6 x^3 y^5 z - 21 b^2 c^6 x^3 y^5 z + 12 c^8 x^3 y^5 z + 3 a^6 c^2 x^2 y^6 z - 15 a^4 b^2 c^2 x^2 y^6 z + 15 a^2 b^4 c^2 x^2 y^6 z - 3 b^6 c^2 x^2 y^6 z + 12 a^4 c^4 x^2 y^6 z - 42 a^2 b^2 c^4 x^2 y^6 z + 6 b^4 c^4 x^2 y^6 z + 21 a^2 c^6 x^2 y^6 z - 3 b^2 c^6 x^2 y^6 z + 3 a^6 c^2 x y^7 z - 3 a^4 b^2 c^2 x y^7 z + 3 a^2 b^2 c^4 x y^7 z - 3 a^2 c^6 x y^7 z + a^4 b^4 x^7 z^2 - 2 a^2 b^6 x^7 z^2 + b^8 x^7 z^2 + a^2 b^4 c^2 x^7 z^2 + b^6 c^2 x^7 z^2 - 2 b^4 c^4 x^7 z^2 - 3 a^6 b^2 x^6 y z^2 + 6 a^4 b^4 x^6 y z^2 - 3 a^2 b^6 x^6 y z^2 + 15 a^4 b^2 c^2 x^6 y z^2 - 42 a^2 b^4 c^2 x^6 y z^2 + 21 b^6 c^2 x^6 y z^2 - 15 a^2 b^2 c^4 x^6 y z^2 + 12 b^4 c^4 x^6 y z^2 + 3 b^2 c^6 x^6 y z^2 + 7 a^6 b^2 x^5 y^2 z^2 - 20 a^4 b^4 x^5 y^2 z^2 + 19 a^2 b^6 x^5 y^2 z^2 - 6 b^8 x^5 y^2 z^2 - 7 a^6 c^2 x^5 y^2 z^2 + 45 a^2 b^4 c^2 x^5 y^2 z^2 - 36 b^6 c^2 x^5 y^2 z^2 + 20 a^4 c^4 x^5 y^2 z^2 - 45 a^2 b^2 c^4 x^5 y^2 z^2 - 19 a^2 c^6 x^5 y^2 z^2 + 36 b^2 c^6 x^5 y^2 z^2 + 6 c^8 x^5 y^2 z^2 + 3 a^8 x^4 y^3 z^2 - 12 a^6 b^2 x^4 y^3 z^2 + 23 a^4 b^4 x^4 y^3 z^2 - 22 a^2 b^6 x^4 y^3 z^2 + 8 b^8 x^4 y^3 z^2 + 5 a^6 c^2 x^4 y^3 z^2 - 9 a^4 b^2 c^2 x^4 y^3 z^2 + 2 a^2 b^4 c^2 x^4 y^3 z^2 + 12 b^6 c^2 x^4 y^3 z^2 - 12 a^4 c^4 x^4 y^3 z^2 + 118 a^2 b^2 c^4 x^4 y^3 z^2 - 2 b^4 c^4 x^4 y^3 z^2 - 6 a^2 c^6 x^4 y^3 z^2 - 28 b^2 c^6 x^4 y^3 z^2 + 10 c^8 x^4 y^3 z^2 - 8 a^8 x^3 y^4 z^2 + 22 a^6 b^2 x^3 y^4 z^2 - 23 a^4 b^4 x^3 y^4 z^2 + 12 a^2 b^6 x^3 y^4 z^2 - 3 b^8 x^3 y^4 z^2 - 12 a^6 c^2 x^3 y^4 z^2 - 2 a^4 b^2 c^2 x^3 y^4 z^2 + 9 a^2 b^4 c^2 x^3 y^4 z^2 - 5 b^6 c^2 x^3 y^4 z^2 + 2 a^4 c^4 x^3 y^4 z^2 - 118 a^2 b^2 c^4 x^3 y^4 z^2 + 12 b^4 c^4 x^3 y^4 z^2 + 28 a^2 c^6 x^3 y^4 z^2 + 6 b^2 c^6 x^3 y^4 z^2 - 10 c^8 x^3 y^4 z^2 + 6 a^8 x^2 y^5 z^2 - 19 a^6 b^2 x^2 y^5 z^2 + 20 a^4 b^4 x^2 y^5 z^2 - 7 a^2 b^6 x^2 y^5 z^2 + 36 a^6 c^2 x^2 y^5 z^2 - 45 a^4 b^2 c^2 x^2 y^5 z^2 + 7 b^6 c^2 x^2 y^5 z^2 + 45 a^2 b^2 c^4 x^2 y^5 z^2 - 20 b^4 c^4 x^2 y^5 z^2 - 36 a^2 c^6 x^2 y^5 z^2 + 19 b^2 c^6 x^2 y^5 z^2 - 6 c^8 x^2 y^5 z^2 + 3 a^6 b^2 x y^6 z^2 - 6 a^4 b^4 x y^6 z^2 + 3 a^2 b^6 x y^6 z^2 - 21 a^6 c^2 x y^6 z^2 + 42 a^4 b^2 c^2 x y^6 z^2 - 15 a^2 b^4 c^2 x y^6 z^2 - 12 a^4 c^4 x y^6 z^2 + 15 a^2 b^2 c^4 x y^6 z^2 - 3 a^2 c^6 x y^6 z^2 - a^8 y^7 z^2 + 2 a^6 b^2 y^7 z^2 - a^4 b^4 y^7 z^2 - a^6 c^2 y^7 z^2 - a^4 b^2 c^2 y^7 z^2 + 2 a^4 c^4 y^7 z^2 - 8 a^4 b^4 x^6 z^3 + 13 a^2 b^6 x^6 z^3 - 5 b^8 x^6 z^3 + 7 a^2 b^4 c^2 x^6 z^3 - 8 b^6 c^2 x^6 z^3 + b^4 c^4 x^6 z^3 + 9 a^6 b^2 x^5 y z^3 - 21 a^2 b^6 x^5 y z^3 + 12 b^8 x^5 y z^3 - 33 a^4 b^2 c^2 x^5 y z^3 + 63 a^2 b^4 c^2 x^5 y z^3 + 6 b^6 c^2 x^5 y z^3 + 42 a^2 b^2 c^4 x^5 y z^3 - 24 b^4 c^4 x^5 y z^3 - 18 b^2 c^6 x^5 y z^3 - 3 a^8 x^4 y^2 z^3 - 5 a^6 b^2 x^4 y^2 z^3 + 12 a^4 b^4 x^4 y^2 z^3 + 6 a^2 b^6 x^4 y^2 z^3 - 10 b^8 x^4 y^2 z^3 + 12 a^6 c^2 x^4 y^2 z^3 + 9 a^4 b^2 c^2 x^4 y^2 z^3 - 118 a^2 b^4 c^2 x^4 y^2 z^3 + 28 b^6 c^2 x^4 y^2 z^3 - 23 a^4 c^4 x^4 y^2 z^3 - 2 a^2 b^2 c^4 x^4 y^2 z^3 + 2 b^4 c^4 x^4 y^2 z^3 + 22 a^2 c^6 x^4 y^2 z^3 - 12 b^2 c^6 x^4 y^2 z^3 - 8 c^8 x^4 y^2 z^3 - 6 a^6 b^2 x^3 y^3 z^3 + 6 a^2 b^6 x^3 y^3 z^3 + 6 a^6 c^2 x^3 y^3 z^3 - 6 b^6 c^2 x^3 y^3 z^3 - 6 a^2 c^6 x^3 y^3 z^3 + 6 b^2 c^6 x^3 y^3 z^3 + 10 a^8 x^2 y^4 z^3 - 6 a^6 b^2 x^2 y^4 z^3 - 12 a^4 b^4 x^2 y^4 z^3 + 5 a^2 b^6 x^2 y^4 z^3 + 3 b^8 x^2 y^4 z^3 - 28 a^6 c^2 x^2 y^4 z^3 + 118 a^4 b^2 c^2 x^2 y^4 z^3 - 9 a^2 b^4 c^2 x^2 y^4 z^3 - 12 b^6 c^2 x^2 y^4 z^3 - 2 a^4 c^4 x^2 y^4 z^3 + 2 a^2 b^2 c^4 x^2 y^4 z^3 + 23 b^4 c^4 x^2 y^4 z^3 + 12 a^2 c^6 x^2 y^4 z^3 - 22 b^2 c^6 x^2 y^4 z^3 + 8 c^8 x^2 y^4 z^3 - 12 a^8 x y^5 z^3 + 21 a^6 b^2 x y^5 z^3 - 9 a^2 b^6 x y^5 z^3 - 6 a^6 c^2 x y^5 z^3 - 63 a^4 b^2 c^2 x y^5 z^3 + 33 a^2 b^4 c^2 x y^5 z^3 + 24 a^4 c^4 x y^5 z^3 - 42 a^2 b^2 c^4 x y^5 z^3 + 18 a^2 c^6 x y^5 z^3 + 5 a^8 y^6 z^3 - 13 a^6 b^2 y^6 z^3 + 8 a^4 b^4 y^6 z^3 + 8 a^6 c^2 y^6 z^3 - 7 a^4 b^2 c^2 y^6 z^3 - a^4 c^4 y^6 z^3 + 16 a^4 b^4 x^5 z^4 - 14 a^2 b^6 x^5 z^4 - 2 b^8 x^5 z^4 - 26 a^2 b^4 c^2 x^5 z^4 + 4 b^6 c^2 x^5 z^4 + 10 b^4 c^4 x^5 z^4 - 18 a^6 b^2 x^4 y z^4 - 18 a^4 b^4 x^4 y z^4 + 36 a^2 b^6 x^4 y z^4 + 42 a^4 b^2 c^2 x^4 y z^4 - 36 b^6 c^2 x^4 y z^4 - 42 a^2 b^2 c^4 x^4 y z^4 + 18 b^4 c^4 x^4 y z^4 + 18 b^2 c^6 x^4 y z^4 + 8 a^8 x^3 y^2 z^4 + 12 a^6 b^2 x^3 y^2 z^4 - 2 a^4 b^4 x^3 y^2 z^4 - 28 a^2 b^6 x^3 y^2 z^4 + 10 b^8 x^3 y^2 z^4 - 22 a^6 c^2 x^3 y^2 z^4 + 2 a^4 b^2 c^2 x^3 y^2 z^4 + 118 a^2 b^4 c^2 x^3 y^2 z^4 - 6 b^6 c^2 x^3 y^2 z^4 + 23 a^4 c^4 x^3 y^2 z^4 - 9 a^2 b^2 c^4 x^3 y^2 z^4 - 12 b^4 c^4 x^3 y^2 z^4 - 12 a^2 c^6 x^3 y^2 z^4 + 5 b^2 c^6 x^3 y^2 z^4 + 3 c^8 x^3 y^2 z^4 - 10 a^8 x^2 y^3 z^4 + 28 a^6 b^2 x^2 y^3 z^4 + 2 a^4 b^4 x^2 y^3 z^4 - 12 a^2 b^6 x^2 y^3 z^4 - 8 b^8 x^2 y^3 z^4 + 6 a^6 c^2 x^2 y^3 z^4 - 118 a^4 b^2 c^2 x^2 y^3 z^4 - 2 a^2 b^4 c^2 x^2 y^3 z^4 + 22 b^6 c^2 x^2 y^3 z^4 + 12 a^4 c^4 x^2 y^3 z^4 + 9 a^2 b^2 c^4 x^2 y^3 z^4 - 23 b^4 c^4 x^2 y^3 z^4 - 5 a^2 c^6 x^2 y^3 z^4 + 12 b^2 c^6 x^2 y^3 z^4 - 3 c^8 x^2 y^3 z^4 - 36 a^6 b^2 x y^4 z^4 + 18 a^4 b^4 x y^4 z^4 + 18 a^2 b^6 x y^4 z^4 + 36 a^6 c^2 x y^4 z^4 - 42 a^2 b^4 c^2 x y^4 z^4 - 18 a^4 c^4 x y^4 z^4 + 42 a^2 b^2 c^4 x y^4 z^4 - 18 a^2 c^6 x y^4 z^4 + 2 a^8 y^5 z^4 + 14 a^6 b^2 y^5 z^4 - 16 a^4 b^4 y^5 z^4 - 4 a^6 c^2 y^5 z^4 + 26 a^4 b^2 c^2 y^5 z^4 - 10 a^4 c^4 y^5 z^4 - 10 a^4 b^4 x^4 z^5 - 4 a^2 b^6 x^4 z^5 + 2 b^8 x^4 z^5 + 26 a^2 b^4 c^2 x^4 z^5 + 14 b^6 c^2 x^4 z^5 - 16 b^4 c^4 x^4 z^5 + 18 a^6 b^2 x^3 y z^5 + 24 a^4 b^4 x^3 y z^5 - 6 a^2 b^6 x^3 y z^5 - 12 b^8 x^3 y z^5 - 42 a^4 b^2 c^2 x^3 y z^5 - 63 a^2 b^4 c^2 x^3 y z^5 + 21 b^6 c^2 x^3 y z^5 + 33 a^2 b^2 c^4 x^3 y z^5 - 9 b^2 c^6 x^3 y z^5 - 6 a^8 x^2 y^2 z^5 - 36 a^6 b^2 x^2 y^2 z^5 + 36 a^2 b^6 x^2 y^2 z^5 + 6 b^8 x^2 y^2 z^5 + 19 a^6 c^2 x^2 y^2 z^5 + 45 a^4 b^2 c^2 x^2 y^2 z^5 - 45 a^2 b^4 c^2 x^2 y^2 z^5 - 19 b^6 c^2 x^2 y^2 z^5 - 20 a^4 c^4 x^2 y^2 z^5 + 20 b^4 c^4 x^2 y^2 z^5 + 7 a^2 c^6 x^2 y^2 z^5 - 7 b^2 c^6 x^2 y^2 z^5 + 12 a^8 x y^3 z^5 + 6 a^6 b^2 x y^3 z^5 - 24 a^4 b^4 x y^3 z^5 - 18 a^2 b^6 x y^3 z^5 - 21 a^6 c^2 x y^3 z^5 + 63 a^4 b^2 c^2 x y^3 z^5 + 42 a^2 b^4 c^2 x y^3 z^5 - 33 a^2 b^2 c^4 x y^3 z^5 + 9 a^2 c^6 x y^3 z^5 - 2 a^8 y^4 z^5 + 4 a^6 b^2 y^4 z^5 + 10 a^4 b^4 y^4 z^5 - 14 a^6 c^2 y^4 z^5 - 26 a^4 b^2 c^2 y^4 z^5 + 16 a^4 c^4 y^4 z^5 - a^4 b^4 x^3 z^6 + 8 a^2 b^6 x^3 z^6 + 5 b^8 x^3 z^6 - 7 a^2 b^4 c^2 x^3 z^6 - 13 b^6 c^2 x^3 z^6 + 8 b^4 c^4 x^3 z^6 - 3 a^6 b^2 x^2 y z^6 - 12 a^4 b^4 x^2 y z^6 - 21 a^2 b^6 x^2 y z^6 + 15 a^4 b^2 c^2 x^2 y z^6 + 42 a^2 b^4 c^2 x^2 y z^6 + 3 b^6 c^2 x^2 y z^6 - 15 a^2 b^2 c^4 x^2 y z^6 - 6 b^4 c^4 x^2 y z^6 + 3 b^2 c^6 x^2 y z^6 + 21 a^6 b^2 x y^2 z^6 + 12 a^4 b^4 x y^2 z^6 + 3 a^2 b^6 x y^2 z^6 - 3 a^6 c^2 x y^2 z^6 - 42 a^4 b^2 c^2 x y^2 z^6 - 15 a^2 b^4 c^2 x y^2 z^6 + 6 a^4 c^4 x y^2 z^6 + 15 a^2 b^2 c^4 x y^2 z^6 - 3 a^2 c^6 x y^2 z^6 - 5 a^8 y^3 z^6 - 8 a^6 b^2 y^3 z^6 + a^4 b^4 y^3 z^6 + 13 a^6 c^2 y^3 z^6 + 7 a^4 b^2 c^2 y^3 z^6 - 8 a^4 c^4 y^3 z^6 + 2 a^4 b^4 x^2 z^7 - a^2 b^6 x^2 z^7 - b^8 x^2 z^7 - a^2 b^4 c^2 x^2 z^7 + 2 b^6 c^2 x^2 z^7 - b^4 c^4 x^2 z^7 - 3 a^6 b^2 x y z^7 + 3 a^2 b^6 x y z^7 + 3 a^4 b^2 c^2 x y z^7 - 3 a^2 b^4 c^2 x y z^7 + a^8 y^2 z^7 + a^6 b^2 y^2 z^7 - 2 a^4 b^4 y^2 z^7 - 2 a^6 c^2 y^2 z^7 + a^4 b^2 c^2 y^2 z^7 + a^4 c^4 y^2 z^7 =0