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z^2-32 a^2 c^10 x^3 y z^2-57 b^2 c^10 x^3 y z^2+24 c^12 x^3 y z^2+54 a^12 x^2 y^2 z^2-98 a^10 b^2 x^2 y^2 z^2-222 a^8 b^4 x^2 y^2 z^2+532 a^6 b^6 x^2 y^2 z^2-222 a^4 b^8 x^2 y^2 z^2-98 a^2 b^10 x^2 y^2 z^2+54 b^12 x^2 y^2 z^2-98 a^10 c^2 x^2 y^2 z^2+148 a^8 b^2 c^2 x^2 y^2 z^2-50 a^6 b^4 c^2 x^2 y^2 z^2-50 a^4 b^6 c^2 x^2 y^2 z^2+148 a^2 b^8 c^2 x^2 y^2 z^2-98 b^10 c^2 x^2 y^2 z^2-222 a^8 c^4 x^2 y^2 z^2-50 a^6 b^2 c^4 x^2 y^2 z^2+1152 a^4 b^4 c^4 x^2 y^2 z^2-50 a^2 b^6 c^4 x^2 y^2 z^2-222 b^8 c^4 x^2 y^2 z^2+532 a^6 c^6 x^2 y^2 z^2-50 a^4 b^2 c^6 x^2 y^2 z^2-50 a^2 b^4 c^6 x^2 y^2 z^2+532 b^6 c^6 x^2 y^2 z^2-222 a^4 c^8 x^2 y^2 z^2+148 a^2 b^2 c^8 x^2 y^2 z^2-222 b^4 c^8 x^2 y^2 z^2-98 a^2 c^10 x^2 y^2 z^2-98 b^2 c^10 x^2 y^2 z^2+54 c^12 x^2 y^2 z^2+30 a^12 x y^3 z^2-71 a^10 b^2 x y^3 z^2-82 a^8 b^4 x y^3 z^2+278 a^6 b^6 x y^3 z^2-146 a^4 b^8 x y^3 z^2-39 a^2 b^10 x y^3 z^2+30 b^12 x y^3 z^2-93 a^10 c^2 x y^3 z^2+146 a^8 b^2 c^2 x y^3 z^2+114 a^6 b^4 c^2 x y^3 z^2-198 a^4 b^6 c^2 x y^3 z^2+47 a^2 b^8 c^2 x y^3 z^2-16 b^10 c^2 x y^3 z^2-52 a^6 b^2 c^4 x y^3 z^2+440 a^4 b^4 c^4 x y^3 z^2-40 a^2 b^6 c^4 x y^3 z^2-172 b^8 c^4 x y^3 z^2+150 a^6 c^6 x y^3 z^2-42 a^4 b^2 c^6 x y^3 z^2+38 a^2 b^4 c^6 x y^3 z^2+288 b^6 c^6 x y^3 z^2-54 a^4 c^8 x y^3 z^2+51 a^2 b^2 c^8 x y^3 z^2-122 b^4 c^8 x y^3 z^2-57 a^2 c^10 x y^3 z^2-32 b^2 c^10 x y^3 z^2+24 c^12 x y^3 z^2+3 a^12 y^4 z^2-14 a^10 b^2 y^4 z^2+13 a^8 b^4 y^4 z^2+12 a^6 b^6 y^4 z^2-19 a^4 b^8 y^4 z^2+2 a^2 b^10 y^4 z^2+3 b^12 y^4 z^2-9 a^10 c^2 y^4 z^2+34 a^8 b^2 c^2 y^4 z^2-34 a^6 b^4 c^2 y^4 z^2+11 a^2 b^8 c^2 y^4 z^2-2 b^10 c^2 y^4 z^2-3 a^8 c^4 y^4 z^2+4 a^6 b^2 c^4 y^4 z^2+54 a^4 b^4 c^4 y^4 z^2-36 a^2 b^6 c^4 y^4 z^2-19 b^8 c^4 y^4 z^2+18 a^6 c^6 y^4 z^2-32 a^4 b^2 c^6 y^4 z^2+22 a^2 b^4 c^6 y^4 z^2+36 b^6 c^6 y^4 z^2-3 a^4 c^8 y^4 z^2+10 a^2 b^2 c^8 y^4 z^2-19 b^4 c^8 y^4 z^2-9 a^2 c^10 y^4 z^2-2 b^2 c^10 y^4 z^2+3 c^12 y^4 z^2+6 a^12 x^3 z^3-7 a^10 b^2 x^3 z^3-36 a^8 b^4 x^3 z^3+50 a^6 b^6 x^3 z^3+18 a^4 b^8 x^3 z^3-43 a^2 b^10 x^3 z^3+12 b^12 x^3 z^3-4 a^10 c^2 x^3 z^3+21 a^8 b^2 c^2 x^3 z^3-40 a^6 b^4 c^2 x^3 z^3-50 a^4 b^6 c^2 x^3 z^3+116 a^2 b^8 c^2 x^3 z^3-43 b^10 c^2 x^3 z^3-38 a^8 c^4 x^3 z^3-14 a^6 b^2 c^4 x^3 z^3+152 a^4 b^4 c^4 x^3 z^3-50 a^2 b^6 c^4 x^3 z^3+18 b^8 c^4 x^3 z^3+72 a^6 c^6 x^3 z^3-14 a^4 b^2 c^6 x^3 z^3-40 a^2 b^4 c^6 x^3 z^3+50 b^6 c^6 x^3 z^3-38 a^4 c^8 x^3 z^3+21 a^2 b^2 c^8 x^3 z^3-36 b^4 c^8 x^3 z^3-4 a^2 c^10 x^3 z^3-7 b^2 c^10 x^3 z^3+6 c^12 x^3 z^3+24 a^12 x^2 y z^3-57 a^10 b^2 x^2 y z^3-54 a^8 b^4 x^2 y z^3+150 a^6 b^6 x^2 y z^3-93 a^2 b^10 x^2 y z^3+30 b^12 x^2 y z^3-32 a^10 c^2 x^2 y z^3+51 a^8 b^2 c^2 x^2 y z^3-42 a^6 b^4 c^2 x^2 y z^3-52 a^4 b^6 c^2 x^2 y z^3+146 a^2 b^8 c^2 x^2 y z^3-71 b^10 c^2 x^2 y z^3-122 a^8 c^4 x^2 y z^3+38 a^6 b^2 c^4 x^2 y z^3+440 a^4 b^4 c^4 x^2 y z^3+114 a^2 b^6 c^4 x^2 y z^3-82 b^8 c^4 x^2 y z^3+288 a^6 c^6 x^2 y z^3-40 a^4 b^2 c^6 x^2 y z^3-198 a^2 b^4 c^6 x^2 y z^3+278 b^6 c^6 x^2 y z^3-172 a^4 c^8 x^2 y z^3+47 a^2 b^2 c^8 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a^4 b^6 c^2 x y z^4+44 a^2 b^8 c^2 x y z^4-16 b^10 c^2 x y z^4-24 a^8 c^4 x y z^4+6 a^6 b^2 c^4 x y z^4+180 a^4 b^4 c^4 x y z^4+6 a^2 b^6 c^4 x y z^4-24 b^8 c^4 x y z^4+96 a^6 c^6 x y z^4-72 a^4 b^2 c^6 x y z^4-72 a^2 b^4 c^6 x y z^4+96 b^6 c^6 x y z^4-74 a^4 c^8 x y z^4+40 a^2 b^2 c^8 x y z^4-74 b^4 c^8 x y z^4+12 c^12 x y z^4+3 a^12 y^2 z^4-9 a^10 b^2 y^2 z^4-3 a^8 b^4 y^2 z^4+18 a^6 b^6 y^2 z^4-3 a^4 b^8 y^2 z^4-9 a^2 b^10 y^2 z^4+3 b^12 y^2 z^4-14 a^10 c^2 y^2 z^4+34 a^8 b^2 c^2 y^2 z^4+4 a^6 b^4 c^2 y^2 z^4-32 a^4 b^6 c^2 y^2 z^4+10 a^2 b^8 c^2 y^2 z^4-2 b^10 c^2 y^2 z^4+13 a^8 c^4 y^2 z^4-34 a^6 b^2 c^4 y^2 z^4+54 a^4 b^4 c^4 y^2 z^4+22 a^2 b^6 c^4 y^2 z^4-19 b^8 c^4 y^2 z^4+12 a^6 c^6 y^2 z^4-36 a^2 b^4 c^6 y^2 z^4+36 b^6 c^6 y^2 z^4-19 a^4 c^8 y^2 z^4+11 a^2 b^2 c^8 y^2 z^4-19 b^4 c^8 y^2 z^4+2 a^2 c^10 y^2 z^4-2 b^2 c^10 y^2 z^4+3 c^12 y^2 z^4=0