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Transitive Group 9T13

Group name: E(9) : D6 = [32 : 2]3 = [1/2.S(3)2]3 Size: 54

Minima for known fields

Sigs 3 9
Min -2315685267 574470067776192
# 64 18

Total: 82 fields

Generating polynomials for the above fields

Sig = 3: x^9 - x^6 - 2*x^3 + 1
Sig = 9: x^9 - 4*x^8 - 30*x^7 + 142*x^6 + 79*x^5 - 680*x^4 - 247*x^3 + 998*x^2 + 716*x + 104

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Jürgen Klüners and Gunter Malle