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Next: Transitive Group 9T34 Up: Transitive Groups of Degree Previous: Transitive Group 9T32

Transitive Group 9T33

Group name: A9 Size: 181440

Minima for known fields

Sigs 1 5 9
Min 92371321 3200504329 11729467378561
# 85 10 73

Total: 168 fields

Generating polynomials for the above fields

Sig = 1: x^9 - 3*x^8 + 5*x^7 - 7*x^6 + 5*x^5 - 3*x^3 + 6*x^2 - 4*x + 1
Sig = 5: x^9 - x^8 - x^7 - 2*x^5 + 4*x^4 - 5*x^2 + 1
Sig = 9: x^9 + x^8 - 17*x^7 - 35*x^6 + 18*x^5 + 69*x^4 + 8*x^3 - 33*x^2 - 3*x + 4

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Jürgen Klüners and Gunter Malle