Janet Basis
extcyc6
Variables: w , x1 , x2 , x3 , x4 , x5 , x6;
Ordering: DegreeReverseLexicographical;
Goal: Basis;
Polynomial set:
w^6 + 1,
w + x1 + x2 + x3 + x4 + x5 + x6,
w^2 + x1*x2 + x1*x6 + x2*x3 + x3*x4 + x4*x5 + x5*x6,
w^3 + x1*x2*x3 + x1*x2*x6 + x1*x5*x6 + x2*x3*x4 + x3*x4*x5 + x4*x5*x6,
w^4 + x1*x2*x3*x4 + x1*x2*x3*x6 + x1*x2*x5*x6 + x1*x4*x5*x6 + x2*x3*x4*x5 + x3*x4*x5*x6,
w^5 + x1*x2*x3*x4*x5 + x1*x2*x3*x4*x6 + x1*x2*x3*x5*x6 + x1*x2*x4*x5*x6 + x1*x3*x4*x5*x6 + x2*x3*x4*x5*x6,
x1*x2*x3*x4*x5*x6 - 1;
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