Janet Basis
noon8
Variables: x1,x2,x3,x4,x5,x6,x7,x8;
Ordering: DegreeReverseLexicographical;
Goal: Basis;
Polynomial set:
10*x1*x2^2 + 10*x1*x3^2 + 10*x1*x4^2 + 10*x1*x5^2 + 10*x1*x6^2 + 10*x1* x7^2 + 10*x1*x8^2 - 11*x1 + 10,
10*x1^2*x2 + 10*x2*x3^2 + 10*x2*x4^2 + 10*x2*x5^2 + 10*x2*x6^2 + 10*x2* x7^2 + 10*x2*x8^2 - 11*x2 + 10,
10*x1^2*x3 + 10*x2^2*x3 + 10*x3*x4^2 + 10*x3*x5^2 + 10*x3*x6^2 + 10*x3* x7^2 + 10*x3*x8^2 - 11*x3 + 10,
10*x1^2*x4 + 10*x2^2*x4 + 10*x3^2*x4 + 10*x4*x5^2 + 10*x4*x6^2 + 10*x4* x7^2 + 10*x4*x8^2 - 11*x4 + 10,
10*x1^2*x5 + 10*x2^2*x5 + 10*x3^2*x5 + 10*x4^2*x5 + 10*x5*x6^2 + 10*x5* x7^2 + 10*x5*x8^2 - 11*x5 + 10,
10*x1^2*x6 + 10*x2^2*x6 + 10*x3^2*x6 + 10*x4^2*x6 + 10*x5^2*x6 + 10*x6* x7^2 + 10*x6*x8^2 - 11*x6 + 10,
10*x1^2*x7 + 10*x2^2*x7 + 10*x3^2*x7 + 10*x4^2*x7 + 10*x5^2*x7 + 10*x6^2* x7 + 10*x7*x8^2 - 11*x7 + 10,
10*x1^2*x8 + 10*x2^2*x8 + 10*x3^2*x8 + 10*x4^2*x8 + 10*x5^2*x8 + 10*x6^2* x8 + 10*x7^2*x8 - 11*x8 + 10;

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