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Next: Transitive Group 9T30 Up: Transitive Groups of Degree Previous: Transitive Group 9T28

Transitive Group 9T29

Group name: [1/2.S(3)3]S(3) Size: 648

Minima for known fields

Sigs 3 5 9
Min -562419575 34373550825 1789291325044
# 57 63 66

Total: 186 fields

Generating polynomials for the above fields

Sig = 3: x^9 - x^8 + 3*x^6 + 3*x^4 - x^3 - 2*x^2 - 3*x - 1
Sig = 5: x^9 - 3*x^6 - 5*x^5 + 5*x^2 - 1
Sig = 9: x^9 + 3*x^8 - 7*x^7 - 21*x^6 + 17*x^5 + 42*x^4 - 21*x^3 - 22*x^2 + 14*x - 2

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Jürgen Klüners and Gunter Malle