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Next: Transitive Group 9T11 Up: Transitive Groups of Degree Previous: Transitive Group 9T9

Transitive Group 9T10

Group name: [32]S(3)6 Size: 54

Minima for known fields

Sigs 1 9
Min 671898241 62526089134336
# 59 15

Total: 74 fields

Generating polynomials for the above fields

Sig = 1: x^9 + 6*x^8 + 15*x^7 + 18*x^6 + 11*x^5 + x^4 - 2*x^3 + 3*x^2 - x + 1
Sig = 9: x^9 - 4*x^8 - 14*x^7 + 44*x^6 + 62*x^5 - 120*x^4 - 92*x^3 + 48*x^2 + 12*x - 4

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Jürgen Klüners and Gunter Malle