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Transitive Group 5T5

Group name: S5 Size: 120

Minima for known fields

Sigs 1 3 5
Min 1609 -4511 24217
# 232 213 146

Total: 591 fields

Generating polynomials for the above fields

Sig = 1: x^5 - x^4 - x^3 + x^2 - 1
Sig = 3: x^5 - x^3 - 2*x^2 + 1
Sig = 5: x^5 - 2*x^4 - 3*x^3 + 6*x^2 - 1

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Jürgen Klüners and Gunter Malle