Janet Basis
cyclic6
Variables: x1,x2,x3,x4,x5,x6;
Ordering: DegreeReverseLexicographical;
Goal: Basis;
Polynomial set:
x1 + x2 + x3 + x4 + x5 + x6,
x1*x2 + x2*x3 + x3*x4 + x4*x5 + x5*x6 + x6*x1,
x1*x2*x3 + x2*x3*x4 + x3*x4*x5 + x4*x5*x6 + x5*x6*x1 + x6*x1*x2,
x1*x2*x3*x4 + x2*x3*x4*x5 + x3*x4*x5*x6 + x4*x5*x6*x1 + x5*x6*x1*x2 + x6*x1*x2*x3,
x1*x2*x3*x4*x5 + x2*x3*x4*x5*x6 + x3*x4*x5*x6*x1 + x4*x5*x6*x1*x2 + x5*x6*x1*x2*x3 + x6*x1*x2*x3*x4,
x1*x2*x3*x4*x5*x6 - 1;

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