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Next: Transitive Group 9T5 Up: Transitive Groups of Degree Previous: Transitive Group 9T3

Transitive Group 9T4

Group name: S(3)[x]3 Size: 18

Minima for known fields

Sigs 3 9
Min -203297472 17515230173
# 193 207

Total: 400 fields

Generating polynomials for the above fields

Sig = 3: x^9 - 5*x^8 - x^7 + 4*x^6 + 2*x^5 + 3*x^4 - x^3 - 3*x^2 + 1
Sig = 9: x^9 - 3*x^8 - 8*x^7 + 13*x^6 + 22*x^5 - 13*x^4 - 20*x^3 + x^2 + 5*x + 1

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Jürgen Klüners and Gunter Malle