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R = QQ[x1, x2, x3, x4, x5];
p =
x2^4*x3*x4*x5 +
-x2^4*x3*x4 +
-x2^4*x3*x5 +
x2^4*x3 +
-x2^4*x4*x5 +
x2^4*x4 +
x2^4*x5 +
-x2^4 +
x2^3*x3^2*x4*x5 +
-x2^3*x3^2*x4 +
-x2^3*x3^2*x5 +
x2^3*x3^2 +
-x2^3*x3*x4*x5 +
x2^3*x3*x4 +
x2^3*x3*x5 +
-x2^3*x3 +
x2^2*x3^2*x4^2*x5 +
-x2^2*x3^2*x4^2 +
-x2^2*x3^2*x4*x5 +
x2^2*x3^2*x4 +
x2^2*x3*x4^3*x5^2 +
-x2^2*x3*x4^3 +
x2^2*x3*x4^2*x5^3 +
-x2^2*x3*x4^2*x5^2 +
-x2^2*x3*x4^2*x5 +
x2^2*x3*x4^2 +
x2^2*x3*x4*x5^4 +
-x2^2*x3*x4*x5^3 +
-x2^2*x3*x5^4 +
x2^2*x3*x5 +
-x2^2*x4^3*x5^2 +
x2^2*x4^3 +
-x2^2*x4^2*x5^3 +
x2^2*x4^2*x5^2 +
-x2^2*x4*x5^4 +
x2^2*x4*x5^3 +
x2^2*x4*x5 +
-x2^2*x4 +
x2^2*x5^4 +
-x2^2*x5 +
x2*x3^2*x4^2*x5^3 +
-x2*x3^2*x4^2*x5 +
-x2*x3^2*x5^3 +
x2*x3^2*x5 +
x2*x3*x4^4*x5^2 +
-x2*x3*x4^4 +
-x2*x3*x4^3*x5^2 +
x2*x3*x4^3 +
-x2*x3*x4^2*x5^3 +
x2*x3*x4^2*x5 +
x2*x3*x5^3 +
-x2*x3*x5 +
-x2*x4^4*x5^2 +
x2*x4^4 +
x2*x4^3*x5^2 +
-x2*x4^3 +
-x3^2*x4^2*x5^3 +
x3^2*x4^2 +
x3^2*x5^3 +
-x3^2 +
-x3*x4^4*x5^2 +
x3*x4^4 +
x3*x4^2*x5^2 +
-x3*x4^2 +
-x3*x4*x5^4 +
x3*x4*x5^3 +
x3*x5^4 +
-x3*x5^3 +
x4^4*x5^2 +
-x4^4 +
x4^2*x5^3 +
-x4^2*x5^2 +
x4*x5^4 +
-x4*x5^3 +
-x5^4 +
1;
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