| Label |
$n$ |
Polynomial |
$p$ |
$f$ |
$e$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible Artin slopes |
Visible Swan slopes |
Artin slope content |
Swan slope content |
Hidden Artin slopes |
Hidden Swan slopes |
$\#\Aut(K/\Q_p)$ |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
Resid. Poly |
Jump Set |
| 2.6.1.0a1.1 |
$6$ |
$x^{6} + x^{4} + x^{3} + x + 1$ |
$2$ |
$6$ |
$1$ |
$0$ |
$C_6$ (as 6T1) |
$6$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{6} + t^{4} + t^{3} + t + 1$ |
$x - 2$ |
$[0]$ |
$[\ ]$ |
|
$[1]$ |
| 2.3.2.6a1.1 |
$6$ |
$( x^{3} + x + 1 )^{2} + 2 ( x^{3} + x + 1 ) + 2$ |
$2$ |
$3$ |
$2$ |
$6$ |
$C_6$ (as 6T1) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2]^{3}$ |
$[1]^{3}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{3} + t + 1$ |
$x^{2} + 2 x + 2$ |
$[1, 0]$ |
$[1]$ |
$z + (t^2 + 1)$ |
$[1, 2]$ |
| 2.3.2.6a1.2 |
$6$ |
$( x^{3} + x + 1 )^{2} + 2 ( x^{3} + x + 1 ) + 6$ |
$2$ |
$3$ |
$2$ |
$6$ |
$C_6$ (as 6T1) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2]^{3}$ |
$[1]^{3}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{3} + t + 1$ |
$x^{2} + 2 x + 6$ |
$[1, 0]$ |
$[1]$ |
$z + (t^2 + 1)$ |
$[1, 4]$ |
| 2.3.2.6a2.1 |
$6$ |
$( x^{3} + x + 1 )^{2} + 2 x ( x^{3} + x + 1 ) + 2$ |
$2$ |
$3$ |
$2$ |
$6$ |
$A_4\times C_2$ (as 6T6) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$2$ |
$t^{3} + t + 1$ |
$x^{2} + \left(2 t^{2} + 2 t\right) x + 6$ |
$[1, 0]$ |
$[1]$ |
$z + 1$ |
$[1, 3]$ |
| 2.3.2.6a2.2 |
$6$ |
$( x^{3} + x + 1 )^{2} + 2 x ( x^{3} + x + 1 ) + 6$ |
$2$ |
$3$ |
$2$ |
$6$ |
$A_4\times C_2$ (as 6T6) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$2$ |
$t^{3} + t + 1$ |
$x^{2} + 2 t^{2} x + 2$ |
$[1, 0]$ |
$[1]$ |
$z + 1$ |
$[1, 3]$ |
| 2.3.2.6a3.1 |
$6$ |
$( x^{3} + x + 1 )^{2} + \left(2 x + 2\right) ( x^{3} + x + 1 ) + 2$ |
$2$ |
$3$ |
$2$ |
$6$ |
$A_4$ (as 6T4) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2]^{3}$ |
$[1,1]^{3}$ |
$[2]$ |
$[1]$ |
$2$ |
$t^{3} + t + 1$ |
$x^{2} + \left(2 t + 2\right) x + 2$ |
$[1, 0]$ |
$[1]$ |
$z + t^2$ |
$[1, 3]$ |
| 2.3.2.6a3.2 |
$6$ |
$( x^{3} + x + 1 )^{2} + \left(2 x + 2\right) ( x^{3} + x + 1 ) + 4 x^{2} + 2$ |
$2$ |
$3$ |
$2$ |
$6$ |
$A_4\times C_2$ (as 6T6) |
$6$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2]^{6}$ |
$[1,1]^{6}$ |
$[2]^{2}$ |
$[1]^{2}$ |
$2$ |
$t^{3} + t + 1$ |
$x^{2} + \left(2 t + 2\right) x + 4 t^{2} + 2$ |
$[1, 0]$ |
$[1]$ |
$z + t^2$ |
$[1, 3]$ |
| 2.3.2.9a1.1 |
$6$ |
$( x^{3} + x + 1 )^{2} + 2$ |
$2$ |
$3$ |
$2$ |
$9$ |
$C_6$ (as 6T1) |
$3$ |
$1$ |
$[3]$ |
$[2]$ |
$[3]^{3}$ |
$[2]^{3}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{3} + t + 1$ |
$x^{2} + 2$ |
$[2, 0]$ |
$[1]$ |
$z + (t^2 + t + 1)$ |
$[1, 3]$ |
| 2.3.2.9a1.2 |
$6$ |
$( x^{3} + x + 1 )^{2} + 10$ |
$2$ |
$3$ |
$2$ |
$9$ |
$C_6$ (as 6T1) |
$3$ |
$1$ |
$[3]$ |
$[2]$ |
$[3]^{3}$ |
$[2]^{3}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{3} + t + 1$ |
$x^{2} + 10$ |
$[2, 0]$ |
$[1]$ |
$z + (t^2 + t + 1)$ |
$[1, 3]$ |
| 2.3.2.9a1.3 |
$6$ |
$( x^{3} + x + 1 )^{2} + 4 x ( x^{3} + x + 1 ) + 2$ |
$2$ |
$3$ |
$2$ |
$9$ |
$A_4\times C_2$ (as 6T6) |
$3$ |
$1$ |
$[3]$ |
$[2]$ |
$[2, 2, 3]^{3}$ |
$[1,1,2]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$2$ |
$t^{3} + t + 1$ |
$x^{2} + 4 t x + 2$ |
$[2, 0]$ |
$[1]$ |
$z + (t^2 + t + 1)$ |
$[1, 3]$ |
| 2.3.2.9a1.4 |
$6$ |
$( x^{3} + x + 1 )^{2} + 4 x ( x^{3} + x + 1 ) + 10$ |
$2$ |
$3$ |
$2$ |
$9$ |
$A_4\times C_2$ (as 6T6) |
$3$ |
$1$ |
$[3]$ |
$[2]$ |
$[2, 2, 3]^{3}$ |
$[1,1,2]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$2$ |
$t^{3} + t + 1$ |
$x^{2} + 4 t x + 10$ |
$[2, 0]$ |
$[1]$ |
$z + (t^2 + t + 1)$ |
$[1, 3]$ |
| 2.3.2.9a1.5 |
$6$ |
$( x^{3} + x + 1 )^{2} + 4 ( x^{3} + x + 1 ) + 2$ |
$2$ |
$3$ |
$2$ |
$9$ |
$C_6$ (as 6T1) |
$3$ |
$1$ |
$[3]$ |
$[2]$ |
$[3]^{3}$ |
$[2]^{3}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{3} + t + 1$ |
$x^{2} + 4 x + 2$ |
$[2, 0]$ |
$[1]$ |
$z + (t^2 + t + 1)$ |
$[1, 3]$ |
| 2.3.2.9a1.6 |
$6$ |
$( x^{3} + x + 1 )^{2} + 4 ( x^{3} + x + 1 ) + 10$ |
$2$ |
$3$ |
$2$ |
$9$ |
$C_6$ (as 6T1) |
$3$ |
$1$ |
$[3]$ |
$[2]$ |
$[3]^{3}$ |
$[2]^{3}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{3} + t + 1$ |
$x^{2} + 4 x + 10$ |
$[2, 0]$ |
$[1]$ |
$z + (t^2 + t + 1)$ |
$[1, 3]$ |
| 2.3.2.9a1.7 |
$6$ |
$( x^{3} + x + 1 )^{2} + \left(4 x + 4\right) ( x^{3} + x + 1 ) + 2$ |
$2$ |
$3$ |
$2$ |
$9$ |
$A_4\times C_2$ (as 6T6) |
$3$ |
$1$ |
$[3]$ |
$[2]$ |
$[2, 2, 3]^{3}$ |
$[1,1,2]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$2$ |
$t^{3} + t + 1$ |
$x^{2} + \left(4 t + 4\right) x + 2$ |
$[2, 0]$ |
$[1]$ |
$z + (t^2 + t + 1)$ |
$[1, 3]$ |
| 2.3.2.9a1.8 |
$6$ |
$( x^{3} + x + 1 )^{2} + \left(4 x + 4\right) ( x^{3} + x + 1 ) + 10$ |
$2$ |
$3$ |
$2$ |
$9$ |
$A_4\times C_2$ (as 6T6) |
$3$ |
$1$ |
$[3]$ |
$[2]$ |
$[2, 2, 3]^{3}$ |
$[1,1,2]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$2$ |
$t^{3} + t + 1$ |
$x^{2} + \left(4 t + 4\right) x + 10$ |
$[2, 0]$ |
$[1]$ |
$z + (t^2 + t + 1)$ |
$[1, 3]$ |
| 2.2.3.4a1.1 |
$6$ |
$( x^{2} + x + 1 )^{3} + 2 x$ |
$2$ |
$2$ |
$3$ |
$4$ |
$S_3\times C_3$ (as 6T5) |
$6$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{6}$ |
$[\ ]_{3}^{6}$ |
$[\ ]^{3}$ |
$[\ ]^{3}$ |
$3$ |
$t^{2} + t + 1$ |
$x^{3} + 2 t$ |
$[0]$ |
$[1]$ |
$z^2 + z + 1$ |
$[3]$ |
| 2.2.3.4a1.2 |
$6$ |
$( x^{2} + x + 1 )^{3} + 2$ |
$2$ |
$2$ |
$3$ |
$4$ |
$S_3$ (as 6T2) |
$2$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{2}$ |
$[\ ]_{3}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{2} + t + 1$ |
$x^{3} + 2$ |
$[0]$ |
$[1]$ |
$z^2 + z + 1$ |
$[3]$ |
| 2.1.6.6a1.1 |
$6$ |
$x^{6} + 2 x + 2$ |
$2$ |
$1$ |
$6$ |
$6$ |
$S_4$ (as 6T8) |
$2$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}, \frac{4}{3}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3}]_{3}^{2}$ |
$[\frac{4}{3}]^{2}$ |
$[\frac{1}{3}]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 2 x + 2$ |
$[1, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 7]$ |
| 2.1.6.6a1.2 |
$6$ |
$x^{6} + 2 x^{2} + 2 x + 2$ |
$2$ |
$1$ |
$6$ |
$6$ |
$S_4$ (as 6T7) |
$2$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}, \frac{4}{3}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3}]_{3}^{2}$ |
$[\frac{4}{3}]^{2}$ |
$[\frac{1}{3}]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 2 x^{2} + 2 x + 2$ |
$[1, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 7]$ |
| 2.1.6.8a1.1 |
$6$ |
$x^{6} + 2 x^{3} + 2$ |
$2$ |
$1$ |
$6$ |
$8$ |
$D_{6}$ (as 6T3) |
$2$ |
$3$ |
$[2]$ |
$[1]$ |
$[2]_{3}^{2}$ |
$[1]_{3}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 2 x^{3} + 2$ |
$[3, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 6]$ |
| 2.1.6.8a1.2 |
$6$ |
$x^{6} + 2 x^{3} + 6$ |
$2$ |
$1$ |
$6$ |
$8$ |
$D_{6}$ (as 6T3) |
$2$ |
$3$ |
$[2]$ |
$[1]$ |
$[2]_{3}^{2}$ |
$[1]_{3}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 2 x^{3} + 6$ |
$[3, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 12]$ |
| 2.1.6.8a1.3 |
$6$ |
$x^{6} + 2 x^{5} + 2 x^{3} + 2$ |
$2$ |
$1$ |
$6$ |
$8$ |
$S_4\times C_2$ (as 6T11) |
$2$ |
$3$ |
$[2]$ |
$[1]$ |
$[\frac{4}{3}, \frac{4}{3}, 2]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},1]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3}]^{2}$ |
$[\frac{1}{3},\frac{1}{3}]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 2 x^{5} + 2 x^{3} + 2$ |
$[3, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 11]$ |
| 2.1.6.8a1.4 |
$6$ |
$x^{6} + 2 x^{5} + 2 x^{3} + 6$ |
$2$ |
$1$ |
$6$ |
$8$ |
$S_4\times C_2$ (as 6T11) |
$2$ |
$3$ |
$[2]$ |
$[1]$ |
$[\frac{4}{3}, \frac{4}{3}, 2]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},1]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3}]^{2}$ |
$[\frac{1}{3},\frac{1}{3}]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 2 x^{5} + 2 x^{3} + 6$ |
$[3, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 11]$ |
| 2.1.6.10a1.1 |
$6$ |
$x^{6} + 2 x^{5} + 2$ |
$2$ |
$1$ |
$6$ |
$10$ |
$S_4\times C_2$ (as 6T11) |
$2$ |
$3$ |
$[\frac{8}{3}]$ |
$[\frac{5}{3}]$ |
$[2, \frac{8}{3}, \frac{8}{3}]_{3}^{2}$ |
$[1,\frac{5}{3},\frac{5}{3}]_{3}^{2}$ |
$[2,\frac{8}{3}]^{2}$ |
$[1,\frac{5}{3}]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 2 x^{5} + 2$ |
$[5, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 9]$ |
| 2.1.6.10a1.2 |
$6$ |
$x^{6} + 2 x^{5} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$6$ |
$10$ |
$S_4\times C_2$ (as 6T11) |
$2$ |
$3$ |
$[\frac{8}{3}]$ |
$[\frac{5}{3}]$ |
$[2, \frac{8}{3}, \frac{8}{3}]_{3}^{2}$ |
$[1,\frac{5}{3},\frac{5}{3}]_{3}^{2}$ |
$[2,\frac{8}{3}]^{2}$ |
$[1,\frac{5}{3}]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 2 x^{5} + 4 x^{4} + 2$ |
$[5, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 9]$ |
| 2.1.6.10a1.3 |
$6$ |
$x^{6} + 2 x^{5} + 4 x^{3} + 2$ |
$2$ |
$1$ |
$6$ |
$10$ |
$S_4\times C_2$ (as 6T11) |
$2$ |
$3$ |
$[\frac{8}{3}]$ |
$[\frac{5}{3}]$ |
$[2, \frac{8}{3}, \frac{8}{3}]_{3}^{2}$ |
$[1,\frac{5}{3},\frac{5}{3}]_{3}^{2}$ |
$[2,\frac{8}{3}]^{2}$ |
$[1,\frac{5}{3}]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 2 x^{5} + 4 x^{3} + 2$ |
$[5, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 9]$ |
| 2.1.6.10a1.4 |
$6$ |
$x^{6} + 2 x^{5} + 4 x^{4} + 4 x^{3} + 2$ |
$2$ |
$1$ |
$6$ |
$10$ |
$S_4\times C_2$ (as 6T11) |
$2$ |
$3$ |
$[\frac{8}{3}]$ |
$[\frac{5}{3}]$ |
$[2, \frac{8}{3}, \frac{8}{3}]_{3}^{2}$ |
$[1,\frac{5}{3},\frac{5}{3}]_{3}^{2}$ |
$[2,\frac{8}{3}]^{2}$ |
$[1,\frac{5}{3}]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 2 x^{5} + 4 x^{4} + 4 x^{3} + 2$ |
$[5, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 9]$ |
| 2.1.6.10a1.5 |
$6$ |
$x^{6} + 2 x^{5} + 4 x + 2$ |
$2$ |
$1$ |
$6$ |
$10$ |
$S_4$ (as 6T8) |
$2$ |
$3$ |
$[\frac{8}{3}]$ |
$[\frac{5}{3}]$ |
$[\frac{8}{3}, \frac{8}{3}]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3}]_{3}^{2}$ |
$[\frac{8}{3}]^{2}$ |
$[\frac{5}{3}]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 2 x^{5} + 4 x + 2$ |
$[5, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 9]$ |
| 2.1.6.10a1.6 |
$6$ |
$x^{6} + 2 x^{5} + 4 x^{4} + 4 x + 2$ |
$2$ |
$1$ |
$6$ |
$10$ |
$S_4$ (as 6T7) |
$2$ |
$3$ |
$[\frac{8}{3}]$ |
$[\frac{5}{3}]$ |
$[\frac{8}{3}, \frac{8}{3}]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3}]_{3}^{2}$ |
$[\frac{8}{3}]^{2}$ |
$[\frac{5}{3}]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 2 x^{5} + 4 x^{4} + 4 x + 2$ |
$[5, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 9]$ |
| 2.1.6.10a1.7 |
$6$ |
$x^{6} + 2 x^{5} + 4 x^{3} + 4 x + 2$ |
$2$ |
$1$ |
$6$ |
$10$ |
$S_4$ (as 6T8) |
$2$ |
$3$ |
$[\frac{8}{3}]$ |
$[\frac{5}{3}]$ |
$[\frac{8}{3}, \frac{8}{3}]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3}]_{3}^{2}$ |
$[\frac{8}{3}]^{2}$ |
$[\frac{5}{3}]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 2 x^{5} + 4 x^{3} + 4 x + 2$ |
$[5, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 9]$ |
| 2.1.6.10a1.8 |
$6$ |
$x^{6} + 2 x^{5} + 4 x^{4} + 4 x^{3} + 4 x + 2$ |
$2$ |
$1$ |
$6$ |
$10$ |
$S_4$ (as 6T7) |
$2$ |
$3$ |
$[\frac{8}{3}]$ |
$[\frac{5}{3}]$ |
$[\frac{8}{3}, \frac{8}{3}]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3}]_{3}^{2}$ |
$[\frac{8}{3}]^{2}$ |
$[\frac{5}{3}]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 2 x^{5} + 4 x^{4} + 4 x^{3} + 4 x + 2$ |
$[5, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 9]$ |
| 2.1.6.11a1.1 |
$6$ |
$x^{6} + 2$ |
$2$ |
$1$ |
$6$ |
$11$ |
$D_{6}$ (as 6T3) |
$2$ |
$3$ |
$[3]$ |
$[2]$ |
$[3]_{3}^{2}$ |
$[2]_{3}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 2$ |
$[6, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 9]$ |
| 2.1.6.11a1.2 |
$6$ |
$x^{6} + 10$ |
$2$ |
$1$ |
$6$ |
$11$ |
$D_{6}$ (as 6T3) |
$2$ |
$3$ |
$[3]$ |
$[2]$ |
$[3]_{3}^{2}$ |
$[2]_{3}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 10$ |
$[6, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 9]$ |
| 2.1.6.11a1.3 |
$6$ |
$x^{6} + 4 x^{5} + 2$ |
$2$ |
$1$ |
$6$ |
$11$ |
$S_4\times C_2$ (as 6T11) |
$2$ |
$3$ |
$[3]$ |
$[2]$ |
$[\frac{4}{3}, \frac{4}{3}, 3]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3}]^{2}$ |
$[\frac{1}{3},\frac{1}{3}]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 4 x^{5} + 2$ |
$[6, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 9]$ |
| 2.1.6.11a1.4 |
$6$ |
$x^{6} + 4 x^{5} + 10$ |
$2$ |
$1$ |
$6$ |
$11$ |
$S_4\times C_2$ (as 6T11) |
$2$ |
$3$ |
$[3]$ |
$[2]$ |
$[\frac{4}{3}, \frac{4}{3}, 3]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3}]^{2}$ |
$[\frac{1}{3},\frac{1}{3}]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 4 x^{5} + 10$ |
$[6, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 9]$ |
| 2.1.6.11a1.5 |
$6$ |
$x^{6} + 4 x^{3} + 2$ |
$2$ |
$1$ |
$6$ |
$11$ |
$D_{6}$ (as 6T3) |
$2$ |
$3$ |
$[3]$ |
$[2]$ |
$[3]_{3}^{2}$ |
$[2]_{3}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 4 x^{3} + 2$ |
$[6, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 9]$ |
| 2.1.6.11a1.6 |
$6$ |
$x^{6} + 4 x^{3} + 10$ |
$2$ |
$1$ |
$6$ |
$11$ |
$D_{6}$ (as 6T3) |
$2$ |
$3$ |
$[3]$ |
$[2]$ |
$[3]_{3}^{2}$ |
$[2]_{3}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 4 x^{3} + 10$ |
$[6, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 9]$ |
| 2.1.6.11a1.7 |
$6$ |
$x^{6} + 4 x^{5} + 4 x^{3} + 2$ |
$2$ |
$1$ |
$6$ |
$11$ |
$S_4\times C_2$ (as 6T11) |
$2$ |
$3$ |
$[3]$ |
$[2]$ |
$[\frac{4}{3}, \frac{4}{3}, 3]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3}]^{2}$ |
$[\frac{1}{3},\frac{1}{3}]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 4 x^{5} + 4 x^{3} + 2$ |
$[6, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 9]$ |
| 2.1.6.11a1.8 |
$6$ |
$x^{6} + 4 x^{5} + 4 x^{3} + 10$ |
$2$ |
$1$ |
$6$ |
$11$ |
$S_4\times C_2$ (as 6T11) |
$2$ |
$3$ |
$[3]$ |
$[2]$ |
$[\frac{4}{3}, \frac{4}{3}, 3]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3}]^{2}$ |
$[\frac{1}{3},\frac{1}{3}]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 4 x^{5} + 4 x^{3} + 10$ |
$[6, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 9]$ |
| 2.1.6.11a1.9 |
$6$ |
$x^{6} + 4 x + 2$ |
$2$ |
$1$ |
$6$ |
$11$ |
$S_4\times C_2$ (as 6T11) |
$2$ |
$3$ |
$[3]$ |
$[2]$ |
$[\frac{8}{3}, \frac{8}{3}, 3]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3},2]_{3}^{2}$ |
$[\frac{8}{3},\frac{8}{3}]^{2}$ |
$[\frac{5}{3},\frac{5}{3}]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 4 x + 2$ |
$[6, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 9]$ |
| 2.1.6.11a1.10 |
$6$ |
$x^{6} + 4 x + 10$ |
$2$ |
$1$ |
$6$ |
$11$ |
$S_4\times C_2$ (as 6T11) |
$2$ |
$3$ |
$[3]$ |
$[2]$ |
$[\frac{8}{3}, \frac{8}{3}, 3]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3},2]_{3}^{2}$ |
$[\frac{8}{3},\frac{8}{3}]^{2}$ |
$[\frac{5}{3},\frac{5}{3}]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 4 x + 10$ |
$[6, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 9]$ |
| 2.1.6.11a1.11 |
$6$ |
$x^{6} + 4 x^{5} + 4 x + 2$ |
$2$ |
$1$ |
$6$ |
$11$ |
$S_4\times C_2$ (as 6T11) |
$2$ |
$3$ |
$[3]$ |
$[2]$ |
$[\frac{8}{3}, \frac{8}{3}, 3]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3},2]_{3}^{2}$ |
$[\frac{8}{3},\frac{8}{3}]^{2}$ |
$[\frac{5}{3},\frac{5}{3}]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 4 x^{5} + 4 x + 2$ |
$[6, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 9]$ |
| 2.1.6.11a1.12 |
$6$ |
$x^{6} + 4 x^{5} + 4 x + 10$ |
$2$ |
$1$ |
$6$ |
$11$ |
$S_4\times C_2$ (as 6T11) |
$2$ |
$3$ |
$[3]$ |
$[2]$ |
$[\frac{8}{3}, \frac{8}{3}, 3]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3},2]_{3}^{2}$ |
$[\frac{8}{3},\frac{8}{3}]^{2}$ |
$[\frac{5}{3},\frac{5}{3}]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 4 x^{5} + 4 x + 10$ |
$[6, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 9]$ |
| 2.1.6.11a1.13 |
$6$ |
$x^{6} + 4 x^{3} + 4 x + 2$ |
$2$ |
$1$ |
$6$ |
$11$ |
$S_4\times C_2$ (as 6T11) |
$2$ |
$3$ |
$[3]$ |
$[2]$ |
$[\frac{8}{3}, \frac{8}{3}, 3]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3},2]_{3}^{2}$ |
$[\frac{8}{3},\frac{8}{3}]^{2}$ |
$[\frac{5}{3},\frac{5}{3}]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 4 x^{3} + 4 x + 2$ |
$[6, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 9]$ |
| 2.1.6.11a1.14 |
$6$ |
$x^{6} + 4 x^{3} + 4 x + 10$ |
$2$ |
$1$ |
$6$ |
$11$ |
$S_4\times C_2$ (as 6T11) |
$2$ |
$3$ |
$[3]$ |
$[2]$ |
$[\frac{8}{3}, \frac{8}{3}, 3]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3},2]_{3}^{2}$ |
$[\frac{8}{3},\frac{8}{3}]^{2}$ |
$[\frac{5}{3},\frac{5}{3}]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 4 x^{3} + 4 x + 10$ |
$[6, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 9]$ |
| 2.1.6.11a1.15 |
$6$ |
$x^{6} + 4 x^{5} + 4 x^{3} + 4 x + 2$ |
$2$ |
$1$ |
$6$ |
$11$ |
$S_4\times C_2$ (as 6T11) |
$2$ |
$3$ |
$[3]$ |
$[2]$ |
$[\frac{8}{3}, \frac{8}{3}, 3]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3},2]_{3}^{2}$ |
$[\frac{8}{3},\frac{8}{3}]^{2}$ |
$[\frac{5}{3},\frac{5}{3}]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 4 x^{5} + 4 x^{3} + 4 x + 2$ |
$[6, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 9]$ |
| 2.1.6.11a1.16 |
$6$ |
$x^{6} + 4 x^{5} + 4 x^{3} + 4 x + 10$ |
$2$ |
$1$ |
$6$ |
$11$ |
$S_4\times C_2$ (as 6T11) |
$2$ |
$3$ |
$[3]$ |
$[2]$ |
$[\frac{8}{3}, \frac{8}{3}, 3]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3},2]_{3}^{2}$ |
$[\frac{8}{3},\frac{8}{3}]^{2}$ |
$[\frac{5}{3},\frac{5}{3}]^{2}$ |
$2$ |
$t + 1$ |
$x^{6} + 4 x^{5} + 4 x^{3} + 4 x + 10$ |
$[6, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + 1$ |
$[3, 9]$ |
