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Next: Transitive Group 9T9 Up: Transitive Groups of Degree Previous: Transitive Group 9T7

Transitive Group 9T8

Group name: S(3)[x]S(3) = E(9) : D4 Size: 36

Minima for known fields

Sigs 1 3 9
Min 362467097 -3539149227 3340021539392
# 226 85 194

Total: 505 fields

Generating polynomials for the above fields

Sig = 1: x^9 - x^8 + 3*x^6 + x^5 + x^4 + 3*x^3 + 2*x^2 + 1
Sig = 3: x^9 - 2*x^8 - 3*x^7 + 9*x^6 - 4*x^5 - 6*x^4 + 10*x^3 - 4*x^2 - x - 1
Sig = 9: x^9 - 16*x^7 - 7*x^6 + 48*x^5 + 20*x^4 - 37*x^3 - 16*x^2 + 4*x + 1

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Jürgen Klüners and Gunter Malle