# 15269s (augmentgbasis dont 13152 pour reconstruire 601)
cyclic9:=[x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9, x1*x2 + x2*x3 + x3*x4 + x4*x5 + x5*x6 + x6*x7 + x7*x8 + x1*x9 + x8*x9, x1*x2*x3 + x2*x3*x4 + x3*x4*x5 + x4*x5*x6 + x5*x6*x7 + x6*x7*x8 + x1*x2*x9 + x1*x8*x9 + x7*x8*x9, x1*x2*x3*x4 + x2*x3*x4*x5 + x3*x4*x5*x6 + x4*x5*x6*x7 + x5*x6*x7*x8 + x1*x2*x3*x9 + x1*x2*x8*x9 + x1*x7*x8*x9 + x6*x7*x8*x9, x1*x2*x3*x4*x5 + x2*x3*x4*x5*x6 + x3*x4*x5*x6*x7 + x4*x5*x6*x7*x8 + x1*x2*x3*x4*x9 + x1*x2*x3*x8*x9 + x1*x2*x7*x8*x9 + x1*x6*x7*x8*x9 + x5*x6*x7*x8*x9, x1*x2*x3*x4*x5*x6 + x2*x3*x4*x5*x6*x7 + x3*x4*x5*x6*x7*x8 + x1*x2*x3*x4*x5*x9 + x1*x2*x3*x4*x8*x9 + x1*x2*x3*x7*x8*x9 + x1*x2*x6*x7*x8*x9 + x1*x5*x6*x7*x8*x9 + x4*x5*x6*x7*x8*x9, x1*x2*x3*x4*x5*x6*x7 + x2*x3*x4*x5*x6*x7*x8 + x1*x2*x3*x4*x5*x6*x9 + x1*x2*x3*x4*x5*x8*x9 + x1*x2*x3*x4*x7*x8*x9 + x1*x2*x3*x6*x7*x8*x9 + x1*x2*x5*x6*x7*x8*x9 + x1*x4*x5*x6*x7*x8*x9 + x3*x4*x5*x6*x7*x8*x9, x1*x2*x3*x4*x5*x6*x7*x8 + x1*x2*x3*x4*x5*x6*x7*x9 + x1*x2*x3*x4*x5*x6*x8*x9 + x1*x2*x3*x4*x5*x7*x8*x9 + x1*x2*x3*x4*x6*x7*x8*x9 + x1*x2*x3*x5*x6*x7*x8*x9 + x1*x2*x4*x5*x6*x7*x8*x9 + x1*x3*x4*x5*x6*x7*x8*x9 + x2*x3*x4*x5*x6*x7*x8*x9, x1*x2*x3*x4*x5*x6*x7*x8*x9 - 1]:;
// p:=prevprime(2^25); // 33554393
threads:=1;
time(H:=gbasis(cyclic9 ,indets(cyclic9)));
size(H);
write("Hcyclic9",H);
