Transitive Group 9T24

Group name: [3³ : 2]S(3) Size: 324

Minima for known fields

Sigs	1	3	9
Min	449728821	-18844249600	92322657333125
#	247	148	40

Total: 435 fields

Minima for prescribed classes of complex conjugation

(1,7)(2,8)(6,9)	-18844249600
(1,2)(4,5)(7,8)	-19375863552

Generating polynomials for the above fields

Sig = 1: x^9 + x^8 + 3*x^7 + 3*x^5 - 5*x^4 + 6*x^3 + x + 1
(1,7)(2,8)(6,9) : x^9 + x^8 - 9*x^7 - 10*x^6 + 2*x^5 + 35*x^4 + 5*x^3 - 17*x^2 - 8*x - 1
(1,2)(4,5)(7,8) : x^9 - x^8 - 6*x^7 + 2*x^6 + 12*x^5 + 10*x^4 - 2*x^3 - 14*x^2 - 7*x - 1
Sig = 9: x^9 - 2*x^8 - 17*x^7 + 33*x^6 + 90*x^5 - 183*x^4 - 161*x^3 + 379*x^2 + 36*x - 193

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