Database of Local Fields of positive characteristic

The table presents all isomorphism classes of degree 6 extensions of F2((t)) with discriminant exponent < 16.

The data includes Defining polynomial, ramification index e, inertia degree f, valuation of discriminant c, Galois group G, Inertia Group I, Galois Slope Content.

　Defining Polynomial　 　e　 　f　 　c　 　Galois Group　 　#G　 　#I　 　Galois Slope Content　
x^6 + x^4 + x^3 + x + 1 1 6 0 C6 (6T1) 6 1 [ ] 1 6
x^6 + x^5 + x^3 + t*x^2 + (1 + t)*x + 1 + t^2 3 2 4 S3 (6T2) 6 3 [ ] 3 2
x^6 + t*x^3 + t^2 3 2 4 S3 × C3 (6T5) 18 3 [ ] 3 6
x^6 + (t + t^2)*x^4 + t^3*x^3 + (t^2 + t^3)*x^2 + t^3 2 3 6 A4 × C2 (6T6) 24 8 [ 2, 2, 2 ] 1 3
x^6 + (t + t^2)*x^4 + t^3*x^3 + (t^2 + t^3)*x^2 + t^5*x + t^3 + t^5 + t^6 2 3 6 A4 × C2 (6T6) 24 8 [ 2, 2, 2 ] 1 3
x^6 + t*x^5 + (t + t^2)*x^4 + t^3*x^3 + (1 + t + t^3)*x^2 + (t + t^2)*x + 1 + t^2 + t^3 2 3 6 C6 (6T1) 6 2 [ 2 ] 1 3
x^6 + t*x^5 + t*x^4 + t^3*x^3 + (1 + t + t^3)*x^2 + (t + t^2 + t^5)*x + 1 + t^5 + t^6 2 3 6 C6 (6T1) 6 2 [ 2 ] 1 3
x^6 + t*x^5 + t*x^4 + t^3*x^3 + t^2*x^2 + t^3*x + t^3 2 3 6 A4 (6T4) 12 4 [ 2, 2 ] 1 3
x^6 + t*x^5 + t*x^4 + (t^2 + t^4)*x^2 + (t^3 + t^4 + t^5)*x + t^3 + t^5 + t^6 2 3 6 A4 × C2 (6T6) 24 4 [ 2, 2 ] 1 6
x^6 + t*x^3 + t*x^2 + t*x + t 6 1 6 S4 (6T7) 24 12 [ 4/3, 4/3 ] 3 2
x^6 + t*x + t + t^2 6 1 6 S4 (6T8) 24 12 [ 4/3, 4/3 ] 3 2
x^6 + (t + t^2)*x^3 + t 6 1 8 D6 (6T3) 12 6 [ 2 ] 3 2
x^6 + t*x^3 + t + t^2 + t^3 + t^4 6 1 8 D6 (6T3) 12 6 [ 2 ] 3 2
x^6 + t*x^4 + (t + t^2)*x^3 + t^2*x^2 + t^2*x + t + t^3 6 1 8 S4 × C2 (6T11) 48 24 [ 4/3, 4/3, 2 ] 3 2
x^6 + t*x^4 + t*x^3 + t^2*x^2 + (t^2 + t^3)*x + t + t^2 + t^4 6 1 8 S4 × C2 (6T11) 48 24 [ 4/3, 4/3, 2 ] 3 2
x^6 + t*x^5 + t^2*x^4 + t^3*x^3 + t 6 1 10 S4 (6T7) 24 12 [ 8/3, 8/3 ] 3 2
x^6 + t*x^5 + t^3*x^3 + t^5*x + t + t^6 6 1 10 S4 (6T8) 24 12 [ 8/3, 8/3 ] 3 2
x^6 + t*x^5 + t^2*x^4 + t^3*x^3 + t^2*x^2 + t^3*x + t + t^5 6 1 10 S4 (6T7) 24 12 [ 8/3, 8/3 ] 3 2
x^6 + t*x^5 + t^3*x^3 + t^2*x^2 + (t^3 + t^5)*x + t + t^4 + t^5 + t^6 6 1 10 S4 (6T8) 24 12 [ 8/3, 8/3 ] 3 2
x^6 + t*x^5 + (t + t^2)*x^4 + t^3*x^3 + (t^2 + t^3)*x^2 + t^3*x + t + t^3 6 1 10 S4 × C2 (6T11) 48 24 [ 2, 8/3, 8/3 ] 3 2
x^6 + t*x^5 + t*x^4 + t^3*x^3 + (t^2 + t^3)*x^2 + (t^3 + t^5)*x + t + t^3 + t^4 + t^5 + t^6 6 1 10 S4 × C2 (6T11) 48 24 [ 2, 8/3, 8/3 ] 3 2
x^6 + t*x^5 + (t + t^2)*x^4 + t^3*x^3 + t^3*x^2 + t + t^5 6 1 10 S4 × C2 (6T11) 48 24 [ 2, 8/3, 8/3 ] 3 2
x^6 + t*x^5 + t*x^4 + t^3*x^3 + t^3*x^2 + t^5*x + t + t^6 6 1 10 S4 × C2 (6T11) 48 24 [ 2, 8/3, 8/3 ] 3 2
x^6 + (t + t^4)*x^4 + t^6*x^3 + (t^2 + t^5)*x^2 + t^3 2 3 12 A4 × C2 (6T6) 24 8 [ 4, 4, 4 ] 1 3
x^6 + (t + t^4)*x^4 + t^6*x^3 + (t^2 + t^5)*x^2 + t^10*x + t^3 + t^9 + t^12 2 3 12 A4 × C2 (6T6) 24 8 [ 4, 4, 4 ] 1 3
x^6 + (t + t^4)*x^4 + t^6*x^3 + (t^2 + t^5 + t^6 + t^7)*x^2 + t^8*x + t^3 + t^7 + t^9 2 3 12 A4 × C2 (6T6) 24 8 [ 4, 4, 4 ] 1 3
x^6 + (t + t^4)*x^4 + t^6*x^3 + (t^2 + t^5 + t^6 + t^7)*x^2 + (t^8 + t^10)*x + t^3 + t^7 + t^10 + t^11 + t^12 2 3 12 A4 × C2 (6T6) 24 8 [ 4, 4, 4 ] 1 3
x^6 + (t + t^4)*x^4 + (t^5 + t^6)*x^3 + (t^2 + t^5 + t^6 + t^7)*x^2 + t^6*x + t^3 + t^7 + t^9 2 3 12 A4 × C2 (6T6) 24 8 [ 4, 4, 4 ] 1 3
x^6 + (t + t^4)*x^4 + (t^5 + t^6)*x^3 + (t^2 + t^5 + t^6)*x^2 + (t^6 + t^10)*x + t^3 + t^7 + t^8 + t^11 + t^12 2 3 12 A4 × C2 (6T6) 24 8 [ 4, 4, 4 ] 1 3
x^6 + (t + t^4)*x^4 + (t^5 + t^6)*x^3 + (t^2 + t^5 + t^6)*x^2 + (t^6 + t^8)*x + t^3 + t^7 + t^9 2 3 12 A4 × C2 (6T6) 24 8 [ 4, 4, 4 ] 1 3
x^6 + (t + t^4)*x^4 + (t^5 + t^6)*x^3 + (t^2 + t^5 + t^6 + t^7)*x^2 + (t^6 + t^8 + t^10)*x + t^3 + t^7 + t^8 + t^10 + t^12 2 3 12 A4 × C2 (6T6) 24 8 [ 4, 4, 4 ] 1 3
x^6 + (t + t^3 + t^4)*x^4 + t^6*x^3 + (t^2 + t^5 + t^6 + t^7)*x^2 + t^3 + t^5 + t^7 + t^9 2 3 12 A4 × C2 (6T6) 24 8 [ 4, 4, 4 ] 1 3
x^6 + (t + t^3 + t^4)*x^4 + t^6*x^3 + (t^2 + t^5 + t^6 + t^7)*x^2 + t^10*x + t^3 + t^5 + t^7 + t^11 + t^12 2 3 12 A4 × C2 (6T6) 24 8 [ 4, 4, 4 ] 1 3
x^6 + (t + t^3 + t^4)*x^4 + t^6*x^3 + (t^2 + t^5)*x^2 + t^8*x + t^3 + t^5 + t^9 2 3 12 A4 × C2 (6T6) 24 8 [ 4, 4, 4 ] 1 3
x^6 + (t + t^3 + t^4)*x^4 + t^6*x^3 + (t^2 + t^5)*x^2 + (t^8 + t^10)*x + t^3 + t^5 + t^10 + t^12 2 3 12 A4 × C2 (6T6) 24 8 [ 4, 4, 4 ] 1 3
x^6 + (t + t^3 + t^4)*x^4 + (t^5 + t^6)*x^3 + (t^2 + t^5)*x^2 + (t^6 + t^8)*x + t^3 + t^5 + t^9 2 3 12 A4 × C2 (6T6) 24 8 [ 4, 4, 4 ] 1 3
x^6 + (t + t^3 + t^4)*x^4 + (t^5 + t^6)*x^3 + (t^2 + t^5 + t^7)*x^2 + (t^6 + t^8 + t^10)*x + t^3 + t^5 + t^8 + t^10 + t^12 2 3 12 A4 × C2 (6T6) 24 8 [ 4, 4, 4 ] 1 3
x^6 + (t + t^3 + t^4)*x^4 + (t^5 + t^6)*x^3 + (t^2 + t^5 + t^7)*x^2 + t^6*x + t^3 + t^5 + t^9 2 3 12 A4 × C2 (6T6) 24 8 [ 4, 4, 4 ] 1 3
x^6 + (t + t^3 + t^4)*x^4 + (t^5 + t^6)*x^3 + (t^2 + t^5)*x^2 + (t^6 + t^10)*x + t^3 + t^5 + t^8 + t^11 + t^12 2 3 12 A4 × C2 (6T6) 24 8 [ 4, 4, 4 ] 1 3
x^6 + t^2*x^5 + (t + t^4)*x^4 + t^6*x^3 + (1 + t^4 + t^5)*x^2 + (t^2 + t^6)*x + 1 + t + t^2 + t^5 + t^6 2 3 12 C6 (6T1) 6 2 [ 4 ] 1 3
x^6 + t^2*x^5 + t*x^4 + t^6*x^3 + (1 + t^4 + t^5)*x^2 + (t^2 + t^6 + t^10)*x + 1 + t + t^2 + t^4 + t^5 + t^6 + t^8 + t^9 + t^12 2 3 12 C6 (6T1) 6 2 [ 4 ] 1 3
x^6 + t^2*x^5 + (t + t^4)*x^4 + t^6*x^3 + (t^2 + t^5 + t^6)*x^2 + (t^4 + t^8)*x + t^3 + t^7 + t^9 2 3 12 A4 × C2 (6T6) 24 8 [ 2, 2, 4 ] 1 3
x^6 + t^2*x^5 + t*x^4 + t^6*x^3 + (t^2 + t^5 + t^6)*x^2 + (t^4 + t^8 + t^10)*x + t^3 + t^6 + t^7 + t^10 + t^12 2 3 12 A4 × C2 (6T6) 24 8 [ 2, 2, 4 ] 1 3
x^6 + t^2*x^5 + (t + t^3 + t^4)*x^4 + t^6*x^3 + (1 + t^4 + t^5 + t^6 + t^7)*x^2 + (t^2 + t^6 + t^8)*x + 1 + t + t^2 + t^3 + t^5 + t^6 + t^9 2 3 12 C6 (6T1) 6 2 [ 4 ] 1 3
x^6 + t^2*x^5 + (t + t^3)*x^4 + t^6*x^3 + (1 + t^4 + t^5 + t^6 + t^7)*x^2 + (t^2 + t^6 + t^8 + t^10)*x + 1 + t + t^2 + t^3 + t^4 + t^5 + t^6 + t^8 + t^10 + t^11 + t^12 2 3 12 C6 (6T1) 6 2 [ 4 ] 1 3
x^6 + t^2*x^5 + (t + t^3 + t^4)*x^4 + t^6*x^3 + (t^2 + t^5 + t^7)*x^2 + t^4*x + t^3 + t^5 + t^9 2 3 12 A4 × C2 (6T6) 24 8 [ 2, 2, 4 ] 1 3
x^6 + t^2*x^5 + (t + t^3)*x^4 + t^6*x^3 + (t^2 + t^5 + t^7)*x^2 + (t^4 + t^10)*x + t^3 + t^5 + t^6 + t^11 + t^12 2 3 12 A4 × C2 (6T6) 24 8 [ 2, 2, 4 ] 1 3
x^6 + t^2*x^5 + t*x^4 + t^6*x^3 + t^2*x^2 + t^4*x + t^3 2 3 12 A4 (6T4) 12 4 [ 4, 4 ] 1 3
x^6 + t^2*x^5 + t*x^4 + (t^2 + t^8)*x^2 + (t^4 + t^7 + t^10)*x + t^3 + t^9 + t^12 2 3 12 A4 × C2 (6T6) 24 4 [ 4, 4 ] 1 6
x^6 + t^2*x^5 + t*x^4 + t^6*x^3 + (t^2 + t^6 + t^7)*x^2 + t^4*x + t^3 + t^7 + t^9 2 3 12 A4 (6T4) 12 4 [ 4, 4 ] 1 3
x^6 + t^2*x^5 + t*x^4 + (t^2 + t^6 + t^8)*x^2 + (t^4 + t^7 + t^9 + t^10)*x + t^3 + t^7 + t^8 + t^10 + t^12 2 3 12 A4 × C2 (6T6) 24 4 [ 4, 4 ] 1 6
x^6 + t^2*x^5 + t*x^4 + (t^5 + t^6)*x^3 + (t^2 + t^6)*x^2 + (t^4 + t^6 + t^8)*x + t^3 + t^7 + t^9 2 3 12 A4 × C2 (6T6) 24 8 [ 2, 4, 4 ] 1 3
x^6 + t^2*x^5 + t*x^4 + t^5*x^3 + (t^2 + t^6 + t^8)*x^2 + (t^4 + t^6 + t^7 + t^8 + t^10)*x + t^3 + t^7 + t^10 + t^11 + t^12 2 3 12 A4 × C2 (6T6) 24 8 [ 2, 4, 4 ] 1 3
x^6 + t^2*x^5 + t*x^4 + (t^5 + t^6)*x^3 + (t^2 + t^6 + t^7)*x^2 + (t^4 + t^6)*x + t^3 + t^7 + t^9 2 3 12 A4 × C2 (6T6) 24 8 [ 2, 4, 4 ] 1 3
x^6 + t^2*x^5 + t*x^4 + t^5*x^3 + (t^2 + t^6 + t^8)*x^2 + (t^4 + t^6 + t^7 + t^9 + t^10)*x + t^3 + t^7 + t^8 + t^11 + t^12 2 3 12 A4 × C2 (6T6) 24 8 [ 2, 4, 4 ] 1 3
x^6 + t^2*x^5 + (t + t^3)*x^4 + t^6*x^3 + (t^2 + t^6)*x^2 + (t^4 + t^8)*x + t^3 + t^5 + t^7 + t^9 2 3 12 A4 (6T4) 12 4 [ 4, 4 ] 1 3
x^6 + t^2*x^5 + (t + t^3)*x^4 + (t^2 + t^6 + t^8)*x^2 + (t^4 + t^7 + t^8 + t^9 + t^10)*x + t^3 + t^5 + t^7 + t^11 + t^12 2 3 12 A4 × C2 (6T6) 24 4 [ 4, 4 ] 1 6
x^6 + t^2*x^5 + (t + t^3)*x^4 + t^6*x^3 + (t^2 + t^7)*x^2 + (t^4 + t^8)*x + t^3 + t^5 + t^9 2 3 12 A4 (6T4) 12 4 [ 4, 4 ] 1 3
x^6 + t^2*x^5 + (t + t^3)*x^4 + (t^2 + t^8)*x^2 + (t^4 + t^7 + t^8 + t^10)*x + t^3 + t^5 + t^8 + t^11 + t^12 2 3 12 A4 × C2 (6T6) 24 4 [ 4, 4 ] 1 6
x^6 + t^2*x^5 + (t + t^3)*x^4 + (t^5 + t^6)*x^3 + t^2*x^2 + (t^4 + t^6 + t^8)*x + t^3 + t^5 + t^9 2 3 12 A4 × C2 (6T6) 24 8 [ 2, 4, 4 ] 1 3
x^6 + t^2*x^5 + (t + t^3)*x^4 + t^5*x^3 + (t^2 + t^8)*x^2 + (t^4 + t^6 + t^7 + t^8 + t^9 + t^10)*x + t^3 + t^5 + t^10 + t^12 2 3 12 A4 × C2 (6T6) 24 8 [ 2, 4, 4 ] 1 3
x^6 + t^2*x^5 + (t + t^3)*x^4 + (t^5 + t^6)*x^3 + (t^2 + t^7)*x^2 + (t^4 + t^6)*x + t^3 + t^5 + t^9 2 3 12 A4 × C2 (6T6) 24 8 [ 2, 4, 4 ] 1 3
x^6 + t^2*x^5 + (t + t^3)*x^4 + t^5*x^3 + (t^2 + t^8)*x^2 + (t^4 + t^6 + t^7 + t^10)*x + t^3 + t^5 + t^8 + t^10 + t^12 2 3 12 A4 × C2 (6T6) 24 8 [ 2, 4, 4 ] 1 3
x^6 + t^4*x^3 + t^3*x^2 + t^2*x + t 6 1 12 S4 (6T7) 24 12 [ 10/3, 10/3 ] 3 2
x^6 + t^2*x + t + t^8 6 1 12 S4 (6T8) 24 12 [ 10/3, 10/3 ] 3 2
x^6 + t^4*x^3 + (t^3 + t^5)*x^2 + (t^2 + t^6)*x + t + t^3 + t^5 + t^7 6 1 12 S4 (6T7) 24 12 [ 10/3, 10/3 ] 3 2
x^6 + (t^2 + t^6)*x + t + t^3 + t^5 + t^7 + t^8 6 1 12 S4 (6T8) 24 12 [ 10/3, 10/3 ] 3 2
x^6 + (t^3 + t^4)*x^3 + (t^2 + t^3)*x^2 + t^2*x + t + t^5 6 1 12 S4 × C2 (6T11) 48 24 [ 2, 10/3, 10/3 ] 3 2
x^6 + t^3*x^3 + t^2*x^2 + t^2*x + t + t^5 + t^6 + t^7 + t^8 6 1 12 S4 × C2 (6T11) 48 24 [ 2, 10/3, 10/3 ] 3 2
x^6 + (t^3 + t^4)*x^3 + (t^2 + t^3 + t^4 + t^5)*x^2 + (t^2 + t^6)*x + t + t^3 + t^7 6 1 12 S4 × C2 (6T11) 48 24 [ 2, 10/3, 10/3 ] 3 2
x^6 + t^3*x^3 + (t^2 + t^4)*x^2 + (t^2 + t^6)*x + t + t^3 + t^6 + t^8 6 1 12 S4 × C2 (6T11) 48 24 [ 2, 10/3, 10/3 ] 3 2
x^6 + t*x^4 + t^4*x^3 + (t^2 + t^3)*x^2 + t^2*x + t + t^3 6 1 12 S4 (6T7) 24 12 [ 10/3, 10/3 ] 3 2
x^6 + t*x^4 + t^2*x^2 + (t^2 + t^5)*x + t + t^3 + t^4 + t^8 6 1 12 S4 (6T8) 24 12 [ 10/3, 10/3 ] 3 2
x^6 + t*x^4 + t^4*x^3 + (t^2 + t^3 + t^5)*x^2 + (t^2 + t^6)*x + t + t^5 + t^7 6 1 12 S4 (6T7) 24 12 [ 10/3, 10/3 ] 3 2
x^6 + t*x^4 + t^2*x^2 + (t^2 + t^5 + t^6)*x + t + t^4 + t^5 + t^6 + t^7 + t^8 6 1 12 S4 (6T8) 24 12 [ 10/3, 10/3 ] 3 2
x^6 + t*x^4 + (t^3 + t^4)*x^3 + t^3*x^2 + (t^2 + t^4)*x + t + t^5 6 1 12 S4 × C2 (6T11) 48 24 [ 2, 10/3, 10/3 ] 3 2
x^6 + t*x^4 + t^3*x^3 + (t^2 + t^4 + t^5)*x + t + t^4 + t^5 + t^6 + t^7 + t^8 6 1 12 S4 × C2 (6T11) 48 24 [ 2, 10/3, 10/3 ] 3 2
x^6 + t*x^4 + (t^3 + t^4)*x^3 + (t^3 + t^4 + t^5)*x^2 + (t^2 + t^4 + t^6)*x + t + t^3 + t^5 + t^7 6 1 12 S4 × C2 (6T11) 48 24 [ 2, 10/3, 10/3 ] 3 2
x^6 + t*x^4 + t^3*x^3 + t^4*x^2 + (t^2 + t^4 + t^5 + t^6)*x + t + t^3 + t^4 + t^5 + t^8 6 1 12 S4 × C2 (6T11) 48 24 [ 2, 10/3, 10/3 ] 3 2
x^6 + (t^2 + t^5)*x^3 + t 6 1 14 D6 (6T3) 12 6 [ 4 ] 3 2
x^6 + t^2*x^3 + t + t^4 + t^7 + t^10 6 1 14 D6 (6T3) 12 6 [ 4 ] 3 2
x^6 + t^3*x^4 + (t^2 + t^5)*x^3 + t^6*x^2 + t^5*x + t + t^9 6 1 14 S4 × C2 (6T11) 48 24 [ 4/3, 4/3, 4 ] 3 2
x^6 + t^3*x^4 + t^2*x^3 + t^6*x^2 + (t^5 + t^8)*x + t + t^4 + t^7 + t^9 + t^10 6 1 14 S4 × C2 (6T11) 48 24 [ 4/3, 4/3, 4 ] 3 2
x^6 + (t^2 + t^4 + t^5)*x^3 + t + t^3 + t^5 + t^7 6 1 14 D6 (6T3) 12 6 [ 4 ] 3 2
x^6 + (t^2 + t^4)*x^3 + t + t^3 + t^4 + t^5 + t^8 + t^9 + t^10 6 1 14 D6 (6T3) 12 6 [ 4 ] 3 2
x^6 + t^3*x^4 + (t^2 + t^4 + t^5)*x^3 + t^6*x^2 + (t^5 + t^7)*x + t + t^3 + t^5 + t^7 + t^9 6 1 14 S4 × C2 (6T11) 48 24 [ 4/3, 4/3, 4 ] 3 2
x^6 + t^3*x^4 + (t^2 + t^4)*x^3 + t^6*x^2 + (t^5 + t^7 + t^8)*x + t + t^3 + t^4 + t^5 + t^8 + t^10 6 1 14 S4 × C2 (6T11) 48 24 [ 4/3, 4/3, 4 ] 3 2
x^6 + (t^2 + t^5)*x^3 + (t^2 + t^5)*x^2 + t^5*x + t + t^5 6 1 14 S4 × C2 (6T11) 48 24 [ 8/3, 8/3, 4 ] 3 2
x^6 + t^2*x^3 + t^2*x^2 + t^5*x + t + t^4 + t^5 + t^7 + t^10 6 1 14 S4 × C2 (6T11) 48 24 [ 8/3, 8/3, 4 ] 3 2
x^6 + t^3*x^4 + (t^2 + t^5)*x^3 + (t^2 + t^5 + t^6)*x^2 + t + t^9 6 1 14 S4 × C2 (6T11) 48 24 [ 8/3, 8/3, 4 ] 3 2
x^6 + t^3*x^4 + t^2*x^3 + (t^2 + t^6)*x^2 + t^8*x + t + t^4 + t^7 + t^8 + t^9 + t^10 6 1 14 S4 × C2 (6T11) 48 24 [ 8/3, 8/3, 4 ] 3 2
x^6 + (t^2 + t^4 + t^5)*x^3 + (t^2 + t^4 + t^5)*x^2 + t^5*x + t + t^3 + t^7 6 1 14 S4 × C2 (6T11) 48 24 [ 8/3, 8/3, 4 ] 3 2
x^6 + (t^2 + t^4)*x^3 + (t^2 + t^4)*x^2 + t^5*x + t + t^3 + t^4 + t^8 + t^9 + t^10 6 1 14 S4 × C2 (6T11) 48 24 [ 8/3, 8/3, 4 ] 3 2
x^6 + t^3*x^4 + (t^2 + t^4 + t^5)*x^3 + (t^2 + t^4 + t^5 + t^6)*x^2 + t^7*x + t + t^3 + t^5 + t^9 6 1 14 S4 × C2 (6T11) 48 24 [ 8/3, 8/3, 4 ] 3 2
x^6 + t^3*x^4 + (t^2 + t^4)*x^3 + (t^2 + t^4 + t^6)*x^2 + (t^7 + t^8)*x + t + t^3 + t^4 + t^5 + t^7 + t^10 6 1 14 S4 × C2 (6T11) 48 24 [ 8/3, 8/3, 4 ] 3 2
x^6 + t*x^4 + (t^2 + t^5)*x^3 + t^2*x^2 + t^3*x + t + t^3 6 1 14 S4 × C2 (6T11) 48 24 [ 10/3, 10/3, 4 ] 3 2
x^6 + t*x^4 + t^2*x^3 + t^2*x^2 + (t^3 + t^6)*x + t + t^3 + t^4 + t^7 + t^10 6 1 14 S4 × C2 (6T11) 48 24 [ 10/3, 10/3, 4 ] 3 2
x^6 + (t + t^3)*x^4 + (t^2 + t^5)*x^3 + (t^2 + t^6)*x^2 + (t^3 + t^5)*x + t + t^3 + t^5 + t^7 + t^9 6 1 14 S4 × C2 (6T11) 48 24 [ 10/3, 10/3, 4 ] 3 2
x^6 + (t + t^3)*x^4 + t^2*x^3 + (t^2 + t^6)*x^2 + (t^3 + t^5 + t^6 + t^8)*x + t + t^3 + t^4 + t^5 + t^9 + t^10 6 1 14 S4 × C2 (6T11) 48 24 [ 10/3, 10/3, 4 ] 3 2
x^6 + t*x^4 + (t^2 + t^4 + t^5)*x^3 + t^2*x^2 + (t^3 + t^5)*x + t + t^5 + t^7 6 1 14 S4 × C2 (6T11) 48 24 [ 10/3, 10/3, 4 ] 3 2
x^6 + t*x^4 + (t^2 + t^4)*x^3 + t^2*x^2 + (t^3 + t^5 + t^6)*x + t + t^4 + t^5 + t^8 + t^9 + t^10 6 1 14 S4 × C2 (6T11) 48 24 [ 10/3, 10/3, 4 ] 3 2
x^6 + (t + t^3)*x^4 + (t^2 + t^4 + t^5)*x^3 + (t^2 + t^6)*x^2 + (t^3 + t^7)*x + t + t^9 6 1 14 S4 × C2 (6T11) 48 24 [ 10/3, 10/3, 4 ] 3 2
x^6 + (t + t^3)*x^4 + (t^2 + t^4)*x^3 + (t^2 + t^6)*x^2 + (t^3 + t^6 + t^7 + t^8)*x + t + t^4 + t^7 + t^8 + t^10 6 1 14 S4 × C2 (6T11) 48 24 [ 10/3, 10/3, 4 ] 3 2
x^6 + t*x^4 + (t^2 + t^5)*x^3 + t^5*x^2 + (t^3 + t^5)*x + t + t^5 6 1 14 S4 × C2 (6T11) 48 24 [ 10/3, 10/3, 4 ] 3 2
x^6 + t*x^4 + t^2*x^3 + (t^3 + t^5 + t^6)*x + t + t^4 + t^5 + t^6 + t^7 + t^10 6 1 14 S4 × C2 (6T11) 48 24 [ 10/3, 10/3, 4 ] 3 2
x^6 + (t + t^3)*x^4 + (t^2 + t^5)*x^3 + (t^5 + t^6)*x^2 + t^3*x + t + t^5 + t^7 + t^9 6 1 14 S4 × C2 (6T11) 48 24 [ 10/3, 10/3, 4 ] 3 2
x^6 + (t + t^3)*x^4 + t^2*x^3 + t^6*x^2 + (t^3 + t^6 + t^8)*x + t + t^4 + t^5 + t^6 + t^8 + t^9 + t^10 6 1 14 S4 × C2 (6T11) 48 24 [ 10/3, 10/3, 4 ] 3 2
x^6 + t*x^4 + (t^2 + t^4 + t^5)*x^3 + (t^4 + t^5)*x^2 + t^3*x + t + t^3 + t^5 + t^7 6 1 14 S4 × C2 (6T11) 48 24 [ 10/3, 10/3, 4 ] 3 2
x^6 + t*x^4 + (t^2 + t^4)*x^3 + t^4*x^2 + (t^3 + t^6)*x + t + t^3 + t^4 + t^5 + t^6 + t^8 + t^9 + t^10 6 1 14 S4 × C2 (6T11) 48 24 [ 10/3, 10/3, 4 ] 3 2
x^6 + (t + t^3)*x^4 + (t^2 + t^4 + t^5)*x^3 + (t^4 + t^5 + t^6)*x^2 + (t^3 + t^5 + t^7)*x + t + t^3 + t^5 + t^7 + t^9 6 1 14 S4 × C2 (6T11) 48 24 [ 10/3, 10/3, 4 ] 3 2
x^6 + (t + t^3)*x^4 + (t^2 + t^4)*x^3 + (t^4 + t^6)*x^2 + (t^3 + t^5 + t^6 + t^7 + t^8)*x + t + t^3 + t^4 + t^5 + t^6 + t^10 6 1 14 S4 × C2 (6T11) 48 24 [ 10/3, 10/3, 4 ] 3 2
inserted by FC2 system