#vars [ x1, x2, x3, x4, x5, x6, x7, x8 ] #modulo 65521 #list [ 65488*x1^3 + 49270*x1^2*x2 + 16259*x1*x2^2 + 65488*x2^3 + 23966*x1^2*x3 + 64920*x1*x2*x3 + 49270*x2^2*x3 + 41561*x1*x3^2 + 16259*x2*x3^2 + 65488*x3^3 + 65078*x1^2*x4 + 59014*x1*x2*x4 + 23966*x2^2*x4 + 6229*x1*x3*x4 + 64920*x2*x3*x4 + 49270*x3^2*x4 + 65078*x1*x4^2 + 41561*x2*x4^2 + 16259*x3*x4^2 + 65488*x4^3 + 41561*x1^2*x5 + 6229*x1*x2*x5 + 65078*x2^2*x5 + 65440*x1*x3*x5 + 59014*x2*x3*x5 + 23966*x3^2*x5 + 59014*x1*x4*x5 + 6229*x2*x4*x5 + 64920*x3*x4*x5 + 49270*x4^2*x5 + 23966*x1*x5^2 + 65078*x2*x5^2 + 41561*x3*x5^2 + 16259*x4*x5^2 + 65488*x5^3 + 16259*x1^2*x6 + 64920*x1*x2*x6 + 41561*x2^2*x6 + 59014*x1*x3*x6 + 6229*x2*x3*x6 + 65078*x3^2*x6 + 6229*x1*x4*x6 + 65440*x2*x4*x6 + 59014*x3*x4*x6 + 23966*x4^2*x6 + 64920*x1*x5*x6 + 59014*x2*x5*x6 + 6229*x3*x5*x6 + 64920*x4*x5*x6 + 49270*x5^2*x6 + 49270*x1*x6^2 + 23966*x2*x6^2 + 65078*x3*x6^2 + 41561*x4*x6^2 + 16259*x5*x6^2 + 65488*x6^3 + 65502*x1^2*x7 + 65418*x1*x2*x7 + 65502*x2^2*x7 + x1*x3*x7 + 65418*x2*x3*x7 + 65502*x3^2*x7 + 65367*x1*x4*x7 + x2*x4*x7 + 65418*x3*x4*x7 + 65502*x4^2*x7 + x1*x5*x7 + 65367*x2*x5*x7 + x3*x5*x7 + 65418*x4*x5*x7 + 65502*x5^2*x7 + 65418*x1*x6*x7 + x2*x6*x7 + 65367*x3*x6*x7 + x4*x6*x7 + 65418*x5*x6*x7 + 65502*x6^2*x7 + 68*x1*x7^2 + 68*x2*x7^2 + 68*x3*x7^2 + 68*x4*x7^2 + 68*x5*x7^2 + 68*x6*x7^2 + 65516*x7^3 + 65502*x1^2*x8 + 65418*x1*x2*x8 + 65502*x2^2*x8 + x1*x3*x8 + 65418*x2*x3*x8 + 65502*x3^2*x8 + 65367*x1*x4*x8 + x2*x4*x8 + 65418*x3*x4*x8 + 65502*x4^2*x8 + x1*x5*x8 + 65367*x2*x5*x8 + x3*x5*x8 + 65418*x4*x5*x8 + 65502*x5^2*x8 + 65418*x1*x6*x8 + x2*x6*x8 + 65367*x3*x6*x8 + x4*x6*x8 + 65418*x5*x6*x8 + 65502*x6^2*x8 + 65497*x1*x7*x8 + 65497*x2*x7*x8 + 65497*x3*x7*x8 + 65497*x4*x7*x8 + 65497*x5*x7*x8 + 65497*x6*x7*x8 + 65482*x7^2*x8 + 68*x1*x8^2 + 68*x2*x8^2 + 68*x3*x8^2 + 68*x4*x8^2 + 68*x5*x8^2 + 68*x6*x8^2 + 65482*x7*x8^2 + 65516*x8^3 + 20*x1^2 + 29*x1*x2 + 20*x2^2 + 163*x1*x3 + 29*x2*x3 + 20*x3^2 + 65493*x1*x4 + 163*x2*x4 + 29*x3*x4 + 20*x4^2 + 163*x1*x5 + 65493*x2*x5 + 163*x3*x5 + 29*x4*x5 + 20*x5^2 + 29*x1*x6 + 163*x2*x6 + 65493*x3*x6 + 163*x4*x6 + 29*x5*x6 + 20*x6^2 + 35*x1*x7 + 35*x2*x7 + 35*x3*x7 + 35*x4*x7 + 35*x5*x7 + 35*x6*x7 + 48*x7^2 + 35*x1*x8 + 35*x2*x8 + 35*x3*x8 + 35*x4*x8 + 35*x5*x8 + 35*x6*x8 + 28*x7*x8 + 48*x8^2 + 65496*x7 + 65496*x8 + 46877, 65477*x1^3 + 24474*x1^2*x2 + 41232*x1*x2^2 + 65477*x2^3 + 27011*x1^2*x3 + 65310*x1*x2*x3 + 24474*x2^2*x3 + 39077*x1*x3^2 + 41232*x2*x3^2 + 65477*x3^3 + 65465*x1^2*x4 + 1416*x1*x2*x4 + 27011*x2^2*x4 + 64925*x1*x3*x4 + 65310*x2*x3*x4 + 24474*x3^2*x4 + 65465*x1*x4^2 + 39077*x2*x4^2 + 41232*x3*x4^2 + 65477*x4^3 + 39077*x1^2*x5 + 64925*x1*x2*x5 + 65465*x2^2*x5 + 65410*x1*x3*x5 + 1416*x2*x3*x5 + 27011*x3^2*x5 + 1416*x1*x4*x5 + 64925*x2*x4*x5 + 65310*x3*x4*x5 + 24474*x4^2*x5 + 27011*x1*x5^2 + 65465*x2*x5^2 + 39077*x3*x5^2 + 41232*x4*x5^2 + 65477*x5^3 + 41232*x1^2*x6 + 65310*x1*x2*x6 + 39077*x2^2*x6 + 1416*x1*x3*x6 + 64925*x2*x3*x6 + 65465*x3^2*x6 + 64925*x1*x4*x6 + 65410*x2*x4*x6 + 1416*x3*x4*x6 + 27011*x4^2*x6 + 65310*x1*x5*x6 + 1416*x2*x5*x6 + 64925*x3*x5*x6 + 65310*x4*x5*x6 + 24474*x5^2*x6 + 24474*x1*x6^2 + 27011*x2*x6^2 + 65465*x3*x6^2 + 39077*x4*x6^2 + 41232*x5*x6^2 + 65477*x6^3 + 68*x1^2*x7 + 79*x1*x2*x7 + 68*x2^2*x7 + 65516*x1*x3*x7 + 79*x2*x3*x7 + 68*x3^2*x7 + 65465*x1*x4*x7 + 65516*x2*x4*x7 + 79*x3*x4*x7 + 68*x4^2*x7 + 65516*x1*x5*x7 + 65465*x2*x5*x7 + 65516*x3*x5*x7 + 79*x4*x5*x7 + 68*x5^2*x7 + 79*x1*x6*x7 + 65516*x2*x6*x7 + 65465*x3*x6*x7 + 65516*x4*x6*x7 + 79*x5*x6*x7 + 68*x6^2*x7 + 65488*x1*x7^2 + 65488*x2*x7^2 + 65488*x3*x7^2 + 65488*x4*x7^2 + 65488*x5*x7^2 + 65488*x6*x7^2 + 3*x7^3 + 68*x1^2*x8 + 79*x1*x2*x8 + 68*x2^2*x8 + 65516*x1*x3*x8 + 79*x2*x3*x8 + 68*x3^2*x8 + 65465*x1*x4*x8 + 65516*x2*x4*x8 + 79*x3*x4*x8 + 68*x4^2*x8 + 65516*x1*x5*x8 + 65465*x2*x5*x8 + 65516*x3*x5*x8 + 79*x4*x5*x8 + 68*x5^2*x8 + 79*x1*x6*x8 + 65516*x2*x6*x8 + 65465*x3*x6*x8 + 65516*x4*x6*x8 + 79*x5*x6*x8 + 68*x6^2*x8 + 65515*x1*x7*x8 + 65515*x2*x7*x8 + 65515*x3*x7*x8 + 65515*x4*x7*x8 + 65515*x5*x7*x8 + 65515*x6*x7*x8 + 65410*x7^2*x8 + 65488*x1*x8^2 + 65488*x2*x8^2 + 65488*x3*x8^2 + 65488*x4*x8^2 + 65488*x5*x8^2 + 65488*x6*x8^2 + 65410*x7*x8^2 + 3*x8^3 + 22*x1^2 + 65380*x1*x2 + 22*x2^2 + 65436*x1*x3 + 65380*x2*x3 + 22*x3^2 + 65401*x1*x4 + 65436*x2*x4 + 65380*x3*x4 + 22*x4^2 + 65436*x1*x5 + 65401*x2*x5 + 65436*x3*x5 + 65380*x4*x5 + 22*x5^2 + 65380*x1*x6 + 65436*x2*x6 + 65401*x3*x6 + 65436*x4*x6 + 65380*x5*x6 + 22*x6^2 + 28*x1*x7 + 28*x2*x7 + 28*x3*x7 + 28*x4*x7 + 28*x5*x7 + 28*x6*x7 + 65514*x7^2 + 28*x1*x8 + 28*x2*x8 + 28*x3*x8 + 28*x4*x8 + 28*x5*x8 + 28*x6*x8 + 38*x7*x8 + 65514*x8^2 + 22*x1 + 22*x2 + 22*x3 + 22*x4 + 22*x5 + 22*x6 + 65500*x7 + 65500*x8 + 23687, 65442*x1^3 + 26314*x1^2*x2 + 39217*x1*x2^2 + 65442*x2^3 + 44479*x1^2*x3 + 65300*x1*x2*x3 + 26314*x2^2*x3 + 21186*x1*x3^2 + 39217*x2*x3^2 + 65442*x3^3 + 65412*x1^2*x4 + 47471*x1*x2*x4 + 44479*x2^2*x4 + 17812*x1*x3*x4 + 65300*x2*x3*x4 + 26314*x3^2*x4 + 65412*x1*x4^2 + 21186*x2*x4^2 + 39217*x3*x4^2 + 65442*x4^3 + 21186*x1^2*x5 + 17812*x1*x2*x5 + 65412*x2^2*x5 + 64408*x1*x3*x5 + 47471*x2*x3*x5 + 44479*x3^2*x5 + 47471*x1*x4*x5 + 17812*x2*x4*x5 + 65300*x3*x4*x5 + 26314*x4^2*x5 + 44479*x1*x5^2 + 65412*x2*x5^2 + 21186*x3*x5^2 + 39217*x4*x5^2 + 65442*x5^3 + 39217*x1^2*x6 + 65300*x1*x2*x6 + 21186*x2^2*x6 + 47471*x1*x3*x6 + 17812*x2*x3*x6 + 65412*x3^2*x6 + 17812*x1*x4*x6 + 64408*x2*x4*x6 + 47471*x3*x4*x6 + 44479*x4^2*x6 + 65300*x1*x5*x6 + 47471*x2*x5*x6 + 17812*x3*x5*x6 + 65300*x4*x5*x6 + 26314*x5^2*x6 + 26314*x1*x6^2 + 44479*x2*x6^2 + 65412*x3*x6^2 + 21186*x4*x6^2 + 39217*x5*x6^2 + 65442*x6^3 + 42*x1^2*x7 + 46*x1*x2*x7 + 42*x2^2*x7 + 78*x1*x3*x7 + 46*x2*x3*x7 + 42*x3^2*x7 + 244*x1*x4*x7 + 78*x2*x4*x7 + 46*x3*x4*x7 + 42*x4^2*x7 + 78*x1*x5*x7 + 244*x2*x5*x7 + 78*x3*x5*x7 + 46*x4*x5*x7 + 42*x5^2*x7 + 46*x1*x6*x7 + 78*x2*x6*x7 + 244*x3*x6*x7 + 78*x4*x6*x7 + 46*x5*x6*x7 + 42*x6^2*x7 + 65503*x1*x7^2 + 65503*x2*x7^2 + 65503*x3*x7^2 + 65503*x4*x7^2 + 65503*x5*x7^2 + 65503*x6*x7^2 + 65498*x7^3 + 42*x1^2*x8 + 46*x1*x2*x8 + 42*x2^2*x8 + 78*x1*x3*x8 + 46*x2*x3*x8 + 42*x3^2*x8 + 244*x1*x4*x8 + 78*x2*x4*x8 + 46*x3*x4*x8 + 42*x4^2*x8 + 78*x1*x5*x8 + 244*x2*x5*x8 + 78*x3*x5*x8 + 46*x4*x5*x8 + 42*x5^2*x8 + 46*x1*x6*x8 + 78*x2*x6*x8 + 244*x3*x6*x8 + 78*x4*x6*x8 + 46*x5*x6*x8 + 42*x6^2*x8 + 8*x1*x7*x8 + 8*x2*x7*x8 + 8*x3*x7*x8 + 8*x4*x7*x8 + 8*x5*x7*x8 + 8*x6*x7*x8 + 63*x7^2*x8 + 65503*x1*x8^2 + 65503*x2*x8^2 + 65503*x3*x8^2 + 65503*x4*x8^2 + 65503*x5*x8^2 + 65503*x6*x8^2 + 63*x7*x8^2 + 65498*x8^3 + 46*x1^2 + 65469*x1*x2 + 46*x2^2 + 158*x1*x3 + 65469*x2*x3 + 46*x3^2 + 152*x1*x4 + 158*x2*x4 + 65469*x3*x4 + 46*x4^2 + 158*x1*x5 + 152*x2*x5 + 158*x3*x5 + 65469*x4*x5 + 46*x5^2 + 65469*x1*x6 + 158*x2*x6 + 152*x3*x6 + 158*x4*x6 + 65469*x5*x6 + 46*x6^2 + 5*x1*x7 + 5*x2*x7 + 5*x3*x7 + 5*x4*x7 + 5*x5*x7 + 5*x6*x7 + 65512*x7^2 + 5*x1*x8 + 5*x2*x8 + 5*x3*x8 + 5*x4*x8 + 5*x5*x8 + 5*x6*x8 + 65415*x7*x8 + 65512*x8^2 + 65486*x1 + 65486*x2 + 65486*x3 + 65486*x4 + 65486*x5 + 65486*x6 + 65507*x7 + 65507*x8 + 21647, 65512*x1^3 + 56920*x1^2*x2 + 8155*x1*x2^2 + 65512*x2^3 + 17394*x1^2*x3 + 172*x1*x2*x3 + 56920*x2^2*x3 + 47725*x1*x3^2 + 8155*x2*x3^2 + 65512*x3^3 + 53*x1^2*x4 + 5624*x1*x2*x4 + 17394*x2^2*x4 + 59749*x1*x3*x4 + 172*x2*x3*x4 + 56920*x3^2*x4 + 53*x1*x4^2 + 47725*x2*x4^2 + 8155*x3*x4^2 + 65512*x4^3 + 47725*x1^2*x5 + 59749*x1*x2*x5 + 53*x2^2*x5 + 180*x1*x3*x5 + 5624*x2*x3*x5 + 17394*x3^2*x5 + 5624*x1*x4*x5 + 59749*x2*x4*x5 + 172*x3*x4*x5 + 56920*x4^2*x5 + 17394*x1*x5^2 + 53*x2*x5^2 + 47725*x3*x5^2 + 8155*x4*x5^2 + 65512*x5^3 + 8155*x1^2*x6 + 172*x1*x2*x6 + 47725*x2^2*x6 + 5624*x1*x3*x6 + 59749*x2*x3*x6 + 53*x3^2*x6 + 59749*x1*x4*x6 + 180*x2*x4*x6 + 5624*x3*x4*x6 + 17394*x4^2*x6 + 172*x1*x5*x6 + 5624*x2*x5*x6 + 59749*x3*x5*x6 + 172*x4*x5*x6 + 56920*x5^2*x6 + 56920*x1*x6^2 + 17394*x2*x6^2 + 53*x3*x6^2 + 47725*x4*x6^2 + 8155*x5*x6^2 + 65512*x6^3 + 65484*x1^2*x7 + 186*x1*x2*x7 + 65484*x2^2*x7 + 94*x1*x3*x7 + 186*x2*x3*x7 + 65484*x3^2*x7 + 78*x1*x4*x7 + 94*x2*x4*x7 + 186*x3*x4*x7 + 65484*x4^2*x7 + 94*x1*x5*x7 + 78*x2*x5*x7 + 94*x3*x5*x7 + 186*x4*x5*x7 + 65484*x5^2*x7 + 186*x1*x6*x7 + 94*x2*x6*x7 + 78*x3*x6*x7 + 94*x4*x6*x7 + 186*x5*x6*x7 + 65484*x6^2*x7 + 20*x1*x7^2 + 20*x2*x7^2 + 20*x3*x7^2 + 20*x4*x7^2 + 20*x5*x7^2 + 20*x6*x7^2 + 65490*x7^3 + 65484*x1^2*x8 + 186*x1*x2*x8 + 65484*x2^2*x8 + 94*x1*x3*x8 + 186*x2*x3*x8 + 65484*x3^2*x8 + 78*x1*x4*x8 + 94*x2*x4*x8 + 186*x3*x4*x8 + 65484*x4^2*x8 + 94*x1*x5*x8 + 78*x2*x5*x8 + 94*x3*x5*x8 + 186*x4*x5*x8 + 65484*x5^2*x8 + 186*x1*x6*x8 + 94*x2*x6*x8 + 78*x3*x6*x8 + 94*x4*x6*x8 + 186*x5*x6*x8 + 65484*x6^2*x8 + 65405*x1*x7*x8 + 65405*x2*x7*x8 + 65405*x3*x7*x8 + 65405*x4*x7*x8 + 65405*x5*x7*x8 + 65405*x6*x7*x8 + 65484*x7^2*x8 + 20*x1*x8^2 + 20*x2*x8^2 + 20*x3*x8^2 + 20*x4*x8^2 + 20*x5*x8^2 + 20*x6*x8^2 + 65484*x7*x8^2 + 65490*x8^3 + 65484*x1^2 + 65363*x1*x2 + 65484*x2^2 + 52*x1*x3 + 65363*x2*x3 + 65484*x3^2 + 65411*x1*x4 + 52*x2*x4 + 65363*x3*x4 + 65484*x4^2 + 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