Transitive Group 8T50

Group name: S8 Size: 40320

Minima for known fields

Sigs	0	2	4	6	8
Min	1282789	-4296211	15908237	-65106259	483345053
#	62	156	264	249	108

Total: 839 fields

Generating polynomials for the above fields

Sig = 0: x^8 - x^7 + 2*x^6 - 3*x^5 + 3*x^4 - 3*x^3 + 3*x^2 - 2*x + 1
Sig = 2: x^8 - 3*x^7 + 3*x^6 - 2*x^4 + 3*x^3 - x^2 + x - 1
Sig = 4: x^8 - x^6 - x^5 - 3*x^4 + 4*x^2 - 1
Sig = 6: x^8 - 2*x^7 - x^6 + x^5 - 2*x^4 + 4*x^3 + 3*x^2 - 2*x - 1
Sig = 8: x^8 - x^7 - 7*x^6 + 4*x^5 + 15*x^4 - 3*x^3 - 9*x^2 + 1

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