| 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 |
| 7.14.1.0a1.1 |
$14$ |
$x^{14} + 5 x^{7} + 6 x^{5} + 2 x^{4} + 3 x^{2} + 6 x + 3$ |
$7$ |
$14$ |
$1$ |
$0$ |
$C_{14}$ (as 14T1) |
$14$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{14}$ |
$[\ ]^{14}$ |
$[\ ]$ |
$[\ ]$ |
$14$ |
$t^{14} + 5 t^{7} + 6 t^{5} + 2 t^{4} + 3 t^{2} + 6 t + 3$ |
$x - 7$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 7.7.2.7a1.1 |
$14$ |
$( x^{7} + 6 x + 4 )^{2} + 7 x$ |
$7$ |
$7$ |
$2$ |
$7$ |
$C_{14}$ (as 14T1) |
$7$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{7}$ |
$[\ ]_{2}^{7}$ |
$[\ ]$ |
$[\ ]$ |
$14$ |
$t^{7} + 6 t + 4$ |
$x^{2} + 7 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 7.7.2.7a1.2 |
$14$ |
$( x^{7} + 6 x + 4 )^{2} + 7$ |
$7$ |
$7$ |
$2$ |
$7$ |
$C_{14}$ (as 14T1) |
$7$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{7}$ |
$[\ ]_{2}^{7}$ |
$[\ ]$ |
$[\ ]$ |
$14$ |
$t^{7} + 6 t + 4$ |
$x^{2} + 7$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 7.2.7.14a1.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 42 ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 42 x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (5 t + 1)$ |
undefined |
| 7.2.7.14a2.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 35 ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 35 x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (3 t + 2)$ |
undefined |
| 7.2.7.14a3.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 28 ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 28 x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (t + 3)$ |
undefined |
| 7.2.7.14a4.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 21 ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 21 x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (6 t + 4)$ |
undefined |
| 7.2.7.14a5.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 14 ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 14 x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t + 5)$ |
undefined |
| 7.2.7.14a6.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 7 ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 7 x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t + 6)$ |
undefined |
| 7.2.7.14a7.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 42 x ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}, \frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6},\frac{1}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(7 t + 42\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (6 t + 2)$ |
undefined |
| 7.2.7.14a8.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(42 x + 42\right) ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}, \frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6},\frac{1}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(7 t + 35\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t + 3)$ |
undefined |
| 7.2.7.14a9.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(42 x + 21\right) ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$D_7:F_7$ (as 14T24) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}, \frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6},\frac{1}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(7 t + 14\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (5 t + 6)$ |
undefined |
| 7.2.7.14a10.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(42 x + 14\right) ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}, \frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6},\frac{1}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(7 t + 7\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + 3 t$ |
undefined |
| 7.2.7.14a11.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 35 x ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}, \frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6},\frac{1}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 35 t x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (5 t + 4)$ |
undefined |
| 7.2.7.14a12.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(35 x + 42\right) ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$D_7:F_7$ (as 14T24) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}, \frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6},\frac{1}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(14 t + 28\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (3 t + 5)$ |
undefined |
| 7.2.7.14a13.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(35 x + 28\right) ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}, \frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6},\frac{1}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(35 t + 28\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + 6 t$ |
undefined |
| 7.2.7.14a14.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(35 x + 21\right) ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$D_7:F_7$ (as 14T24) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}, \frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6},\frac{1}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(35 t + 21\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t + 1)$ |
undefined |
| 7.2.7.14a15.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(35 x + 7\right) ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$D_7:F_7$ (as 14T24) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}, \frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6},\frac{1}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(14 t + 42\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + 3$ |
undefined |
| 7.2.7.14a16.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 28 x ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}, \frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6},\frac{1}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(21 t + 28\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t + 6)$ |
undefined |
| 7.2.7.14a17.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(28 x + 42\right) ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}, \frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6},\frac{1}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(28 t + 42\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + 2 t$ |
undefined |
| 7.2.7.14a18.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(28 x + 28\right) ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}, \frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6},\frac{1}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(21 t + 7\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (5 t + 2)$ |
undefined |
| 7.2.7.14a19.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(28 x + 14\right) ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$D_7:F_7$ (as 14T24) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}, \frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6},\frac{1}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(28 t + 14\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (t + 4)$ |
undefined |
| 7.2.7.14a20.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 21 x ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}, \frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6},\frac{1}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 21 t x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (3 t + 1)$ |
undefined |
| 7.2.7.14a21.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(21 x + 35\right) ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$D_7:F_7$ (as 14T24) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}, \frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6},\frac{1}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(21 t + 35\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (6 t + 3)$ |
undefined |
| 7.2.7.14a22.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(21 x + 14\right) ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$D_7:F_7$ (as 14T24) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}, \frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6},\frac{1}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(28 t + 35\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + 6$ |
undefined |
| 7.2.7.14a23.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 14 x ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}, \frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6},\frac{1}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 14 t x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t + 3)$ |
undefined |
| 7.2.7.14a24.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(14 x + 21\right) ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}, \frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6},\frac{1}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(35 t + 35\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + t$ |
undefined |
| 7.2.7.14a25.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 7 x ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}, \frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6},\frac{1}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 7 t x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (t + 5)$ |
undefined |
| 7.2.7.14a26.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(7 x + 28\right) ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$D_7:F_7$ (as 14T24) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}, \frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6},\frac{1}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(42 t + 35\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t + 1)$ |
undefined |
| 7.2.7.14a27.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(7 x + 21\right) ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$D_7:F_7$ (as 14T24) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}, \frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6},\frac{1}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(42 t + 28\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 7.2.7.16a1.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 21 ( x^{2} + 6 x + 3 )^{2} + 7$ |
$7$ |
$2$ |
$7$ |
$16$ |
$F_7$ (as 14T4) |
$2$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}]_{3}^{2}$ |
$[\frac{1}{3}]_{3}^{2}$ |
$[\ ]_{3}$ |
$[\ ]_{3}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 21 x^{2} + 7$ |
$[2, 0]$ |
$[1]$ |
$z^2 + 3$ |
undefined |
| 7.2.7.16a2.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 42 ( x^{2} + 6 x + 3 )^{2} + 7$ |
$7$ |
$2$ |
$7$ |
$16$ |
$F_7$ (as 14T4) |
$2$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}]_{3}^{2}$ |
$[\frac{1}{3}]_{3}^{2}$ |
$[\ ]_{3}$ |
$[\ ]_{3}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 42 x^{2} + 7$ |
$[2, 0]$ |
$[1]$ |
$z^2 + 6$ |
undefined |
| 7.2.7.16a3.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 14 ( x^{2} + 6 x + 3 )^{2} + 7$ |
$7$ |
$2$ |
$7$ |
$16$ |
$(C_7:C_3) \times C_2$ (as 14T5) |
$2$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}]_{3}^{2}$ |
$[\frac{1}{3}]_{3}^{2}$ |
$[\ ]_{3}$ |
$[\ ]_{3}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 14 x^{2} + 7$ |
$[2, 0]$ |
$[1]$ |
$z^2 + 2$ |
undefined |
| 7.2.7.16a4.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 35 ( x^{2} + 6 x + 3 )^{2} + 7$ |
$7$ |
$2$ |
$7$ |
$16$ |
$F_7$ (as 14T4) |
$2$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}]_{3}^{2}$ |
$[\frac{1}{3}]_{3}^{2}$ |
$[\ ]_{3}$ |
$[\ ]_{3}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 35 x^{2} + 7$ |
$[2, 0]$ |
$[1]$ |
$z^2 + 5$ |
undefined |
| 7.2.7.16a5.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 7 ( x^{2} + 6 x + 3 )^{2} + 7$ |
$7$ |
$2$ |
$7$ |
$16$ |
$(C_7:C_3) \times C_2$ (as 14T5) |
$2$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}]_{3}^{2}$ |
$[\frac{1}{3}]_{3}^{2}$ |
$[\ ]_{3}$ |
$[\ ]_{3}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 7 x^{2} + 7$ |
$[2, 0]$ |
$[1]$ |
$z^2 + 1$ |
undefined |
| 7.2.7.16a6.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 28 ( x^{2} + 6 x + 3 )^{2} + 7$ |
$7$ |
$2$ |
$7$ |
$16$ |
$(C_7:C_3) \times C_2$ (as 14T5) |
$2$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}]_{3}^{2}$ |
$[\frac{1}{3}]_{3}^{2}$ |
$[\ ]_{3}$ |
$[\ ]_{3}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 28 x^{2} + 7$ |
$[2, 0]$ |
$[1]$ |
$z^2 + 4$ |
undefined |
| 7.2.7.16a7.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 21 x ( x^{2} + 6 x + 3 )^{2} + 7$ |
$7$ |
$2$ |
$7$ |
$16$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}, \frac{4}{3}]_{3}^{4}$ |
$[\frac{1}{3},\frac{1}{3}]_{3}^{4}$ |
$[\frac{4}{3}]^{2}_{3}$ |
$[\frac{1}{3}]^{2}_{3}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 21 t x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
$z^2 + (4 t + 3)$ |
undefined |
| 7.2.7.16a8.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(21 x + 21\right) ( x^{2} + 6 x + 3 )^{2} + 7$ |
$7$ |
$2$ |
$7$ |
$16$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}, \frac{4}{3}]_{3}^{4}$ |
$[\frac{1}{3},\frac{1}{3}]_{3}^{4}$ |
$[\frac{4}{3}]^{2}_{3}$ |
$[\frac{1}{3}]^{2}_{3}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(28 t + 42\right) x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
$z^2 + (4 t + 6)$ |
undefined |
| 7.2.7.16a9.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(21 x + 35\right) ( x^{2} + 6 x + 3 )^{2} + 7$ |
$7$ |
$2$ |
$7$ |
$16$ |
$C_7:F_7$ (as 14T14) |
$2$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}, \frac{4}{3}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3}]_{3}^{2}$ |
$[\frac{4}{3}]_{3}$ |
$[\frac{1}{3}]_{3}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(21 t + 35\right) x^{2} + 7$ |
$[2, 0]$ |
$[1]$ |
$z^2 + (4 t + 1)$ |
undefined |
| 7.2.7.16a10.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(21 x + 7\right) ( x^{2} + 6 x + 3 )^{2} + 7$ |
$7$ |
$2$ |
$7$ |
$16$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}, \frac{4}{3}]_{3}^{4}$ |
$[\frac{1}{3},\frac{1}{3}]_{3}^{4}$ |
$[\frac{4}{3}]^{2}_{3}$ |
$[\frac{1}{3}]^{2}_{3}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(21 t + 7\right) x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
$z^2 + (4 t + 4)$ |
undefined |
| 7.2.7.16a11.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 42 x ( x^{2} + 6 x + 3 )^{2} + 7$ |
$7$ |
$2$ |
$7$ |
$16$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}, \frac{4}{3}]_{3}^{4}$ |
$[\frac{1}{3},\frac{1}{3}]_{3}^{4}$ |
$[\frac{4}{3}]^{2}_{3}$ |
$[\frac{1}{3}]^{2}_{3}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(7 t + 42\right) x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
$z^2 + (t + 6)$ |
undefined |
| 7.2.7.16a12.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(42 x + 21\right) ( x^{2} + 6 x + 3 )^{2} + 7$ |
$7$ |
$2$ |
$7$ |
$16$ |
$C_7:F_7$ (as 14T14) |
$2$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}, \frac{4}{3}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3}]_{3}^{2}$ |
$[\frac{4}{3}]_{3}$ |
$[\frac{1}{3}]_{3}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(42 t + 21\right) x^{2} + 7$ |
$[2, 0]$ |
$[1]$ |
$z^2 + (t + 2)$ |
undefined |
| 7.2.7.16a13.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(42 x + 14\right) ( x^{2} + 6 x + 3 )^{2} + 7$ |
$7$ |
$2$ |
$7$ |
$16$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}, \frac{4}{3}]_{3}^{4}$ |
$[\frac{1}{3},\frac{1}{3}]_{3}^{4}$ |
$[\frac{4}{3}]^{2}_{3}$ |
$[\frac{1}{3}]^{2}_{3}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(7 t + 7\right) x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
$z^2 + (t + 1)$ |
undefined |
| 7.2.7.16a14.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(42 x + 35\right) ( x^{2} + 6 x + 3 )^{2} + 7$ |
$7$ |
$2$ |
$7$ |
$16$ |
$C_7:F_7$ (as 14T14) |
$2$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}, \frac{4}{3}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3}]_{3}^{2}$ |
$[\frac{4}{3}]_{3}$ |
$[\frac{1}{3}]_{3}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(7 t + 28\right) x^{2} + 7$ |
$[2, 0]$ |
$[1]$ |
$z^2 + (t + 4)$ |
undefined |
| 7.2.7.16a15.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(42 x + 28\right) ( x^{2} + 6 x + 3 )^{2} + 7$ |
$7$ |
$2$ |
$7$ |
$16$ |
$C_7:F_7$ (as 14T14) |
$2$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}, \frac{4}{3}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3}]_{3}^{2}$ |
$[\frac{4}{3}]_{3}$ |
$[\frac{1}{3}]_{3}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(7 t + 21\right) x^{2} + 7$ |
$[2, 0]$ |
$[1]$ |
$z^2 + (t + 3)$ |
undefined |
| 7.2.7.16a16.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 14 x ( x^{2} + 6 x + 3 )^{2} + 7$ |
$7$ |
$2$ |
$7$ |
$16$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}, \frac{4}{3}]_{3}^{4}$ |
$[\frac{1}{3},\frac{1}{3}]_{3}^{4}$ |
$[\frac{4}{3}]^{2}_{3}$ |
$[\frac{1}{3}]^{2}_{3}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 14 t x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
$z^2 + (5 t + 2)$ |
undefined |
| 7.2.7.16a17.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(14 x + 21\right) ( x^{2} + 6 x + 3 )^{2} + 7$ |
$7$ |
$2$ |
$7$ |
$16$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}, \frac{4}{3}]_{3}^{4}$ |
$[\frac{1}{3},\frac{1}{3}]_{3}^{4}$ |
$[\frac{4}{3}]^{2}_{3}$ |
$[\frac{1}{3}]^{2}_{3}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(14 t + 21\right) x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
$z^2 + (5 t + 5)$ |
undefined |
| 7.2.7.16a18.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(14 x + 14\right) ( x^{2} + 6 x + 3 )^{2} + 7$ |
$7$ |
$2$ |
$7$ |
$16$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}, \frac{4}{3}]_{3}^{4}$ |
$[\frac{1}{3},\frac{1}{3}]_{3}^{4}$ |
$[\frac{4}{3}]^{2}_{3}$ |
$[\frac{1}{3}]^{2}_{3}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(14 t + 14\right) x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
$z^2 + (5 t + 4)$ |
undefined |
| 7.2.7.16a19.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + \left(14 x + 7\right) ( x^{2} + 6 x + 3 )^{2} + 7$ |
$7$ |
$2$ |
$7$ |
$16$ |
$C_7:F_7$ (as 14T14) |
$2$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}, \frac{4}{3}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3}]_{3}^{2}$ |
$[\frac{4}{3}]_{3}$ |
$[\frac{1}{3}]_{3}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(14 t + 7\right) x^{2} + 7$ |
$[2, 0]$ |
$[1]$ |
$z^2 + (5 t + 3)$ |
undefined |
| 7.2.7.16a20.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 35 x ( x^{2} + 6 x + 3 )^{2} + 7$ |
$7$ |
$2$ |
$7$ |
$16$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}, \frac{4}{3}]_{3}^{4}$ |
$[\frac{1}{3},\frac{1}{3}]_{3}^{4}$ |
$[\frac{4}{3}]^{2}_{3}$ |
$[\frac{1}{3}]^{2}_{3}$ |
$1$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(14 t + 35\right) x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
$z^2 + (2 t + 5)$ |
undefined |
