Janet Basis
eco10
Variables: x1 , x2 , x3 , x4 , x5 , x6 , x7 , x8 , x9 , x10;
Ordering: DegreeReverseLexicographical;
Goal: Basis;
Polynomial set:
x1*x10*x2 + x1*x10 + x10*x2*x3 + x10*x3*x4 + x10*x4*x5 + x10*x5*x6 + x10*x6* x7 + x10*x7*x8 + x10*x8*x9 - 1,
x1*x10*x3 + x10*x2*x4 + x10*x2 + x10*x3*x5 + x10*x4*x6 + x10*x5*x7 + x10*x6* x8 + x10*x7*x9 - 2,
x1*x10*x4 + x10*x2*x5 + x10*x3*x6 + x10*x3 + x10*x4*x7 + x10*x5*x8 + x10*x6* x9 - 3,
x1*x10*x5 + x10*x2*x6 + x10*x3*x7 + x10*x4*x8 + x10*x4 + x10*x5*x9 - 4,
x1*x10*x6 + x10*x2*x7 + x10*x3*x8 + x10*x4*x9 + x10*x5 - 5,
x1*x10*x7 + x10*x2*x8 + x10*x3*x9 + x10*x6 - 6,
x1*x10*x8 + x10*x2*x9 + x10*x7 - 7,
x1*x10*x9 + x10*x8 - 8,
x10*x9 - 9,
x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + 1;

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