| 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 |
| 7.1.1.0a1.1 |
$1$ |
$x + 4$ |
$7$ |
$1$ |
$1$ |
$0$ |
Trivial (as 1T1) |
$1$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]$ |
$1$ |
$t + 4$ |
$x - 7$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 7.2.1.0a1.1 |
$2$ |
$x^{2} + 6 x + 3$ |
$7$ |
$2$ |
$1$ |
$0$ |
$C_2$ (as 2T1) |
$2$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$[\ ]$ |
$[\ ]$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x - 7$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 7.1.2.1a1.1 |
$2$ |
$x^{2} + 7$ |
$7$ |
$1$ |
$2$ |
$1$ |
$C_2$ (as 2T1) |
$1$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}$ |
$[\ ]_{2}$ |
$[\ ]$ |
$[\ ]$ |
$2$ |
$t + 4$ |
$x^{2} + 7$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 7.1.2.1a1.2 |
$2$ |
$x^{2} + 21$ |
$7$ |
$1$ |
$2$ |
$1$ |
$C_2$ (as 2T1) |
$1$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}$ |
$[\ ]_{2}$ |
$[\ ]$ |
$[\ ]$ |
$2$ |
$t + 4$ |
$x^{2} + 21$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 7.3.1.0a1.1 |
$3$ |
$x^{3} + 6 x^{2} + 4$ |
$7$ |
$3$ |
$1$ |
$0$ |
$C_3$ (as 3T1) |
$3$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{3}$ |
$[\ ]^{3}$ |
$[\ ]$ |
$[\ ]$ |
$3$ |
$t^{3} + 6 t^{2} + 4$ |
$x - 7$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 7.1.3.2a1.1 |
$3$ |
$x^{3} + 7$ |
$7$ |
$1$ |
$3$ |
$2$ |
$C_3$ (as 3T1) |
$1$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}$ |
$[\ ]_{3}$ |
$[\ ]$ |
$[\ ]$ |
$3$ |
$t + 4$ |
$x^{3} + 7$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 7.1.3.2a1.2 |
$3$ |
$x^{3} + 14$ |
$7$ |
$1$ |
$3$ |
$2$ |
$C_3$ (as 3T1) |
$1$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}$ |
$[\ ]_{3}$ |
$[\ ]$ |
$[\ ]$ |
$3$ |
$t + 4$ |
$x^{3} + 14$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 7.1.3.2a1.3 |
$3$ |
$x^{3} + 21$ |
$7$ |
$1$ |
$3$ |
$2$ |
$C_3$ (as 3T1) |
$1$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}$ |
$[\ ]_{3}$ |
$[\ ]$ |
$[\ ]$ |
$3$ |
$t + 4$ |
$x^{3} + 21$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 7.4.1.0a1.1 |
$4$ |
$x^{4} + 5 x^{2} + 4 x + 3$ |
$7$ |
$4$ |
$1$ |
$0$ |
$C_4$ (as 4T1) |
$4$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t^{4} + 5 t^{2} + 4 t + 3$ |
$x - 7$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 7.2.2.2a1.1 |
$4$ |
$( x^{2} + 6 x + 3 )^{2} + 7 x$ |
$7$ |
$2$ |
$2$ |
$2$ |
$C_4$ (as 4T1) |
$2$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{2}$ |
$[\ ]_{2}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t^{2} + 6 t + 3$ |
$x^{2} + 7 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 7.2.2.2a1.2 |
$4$ |
$( x^{2} + 6 x + 3 )^{2} + 7$ |
$7$ |
$2$ |
$2$ |
$2$ |
$C_2^2$ (as 4T2) |
$2$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{2}$ |
$[\ ]_{2}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t^{2} + 6 t + 3$ |
$x^{2} + 7$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 7.1.4.3a1.1 |
$4$ |
$x^{4} + 7$ |
$7$ |
$1$ |
$4$ |
$3$ |
$D_{4}$ (as 4T3) |
$2$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{2}$ |
$[\ ]_{4}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 4$ |
$x^{4} + 7$ |
$[0]$ |
$[2]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 7.1.4.3a1.2 |
$4$ |
$x^{4} + 21$ |
$7$ |
$1$ |
$4$ |
$3$ |
$D_{4}$ (as 4T3) |
$2$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{2}$ |
$[\ ]_{4}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 4$ |
$x^{4} + 21$ |
$[0]$ |
$[2]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 7.5.1.0a1.1 |
$5$ |
$x^{5} + x + 4$ |
$7$ |
$5$ |
$1$ |
$0$ |
$C_5$ (as 5T1) |
$5$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{5}$ |
$[\ ]^{5}$ |
$[\ ]$ |
$[\ ]$ |
$5$ |
$t^{5} + t + 4$ |
$x - 7$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 7.1.5.4a1.1 |
$5$ |
$x^{5} + 7$ |
$7$ |
$1$ |
$5$ |
$4$ |
$F_5$ (as 5T3) |
$4$ |
$5$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{5}^{4}$ |
$[\ ]_{5}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$1$ |
$t + 4$ |
$x^{5} + 7$ |
$[0]$ |
$[4]$ |
$z^4 + 5 z^3 + 3 z^2 + 3 z + 5$ |
undefined |
| 7.6.1.0a1.1 |
$6$ |
$x^{6} + x^{4} + 5 x^{3} + 4 x^{2} + 6 x + 3$ |
$7$ |
$6$ |
$1$ |
$0$ |
$C_6$ (as 6T1) |
$6$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{6} + t^{4} + 5 t^{3} + 4 t^{2} + 6 t + 3$ |
$x - 7$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 7.3.2.3a1.1 |
$6$ |
$( x^{3} + 6 x^{2} + 4 )^{2} + 7 x$ |
$7$ |
$3$ |
$2$ |
$3$ |
$C_6$ (as 6T1) |
$3$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{3}$ |
$[\ ]_{2}^{3}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{2} + 7 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 7.3.2.3a1.2 |
$6$ |
$( x^{3} + 6 x^{2} + 4 )^{2} + 7$ |
$7$ |
$3$ |
$2$ |
$3$ |
$C_6$ (as 6T1) |
$3$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{3}$ |
$[\ ]_{2}^{3}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{2} + 7$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 7.2.3.4a1.1 |
$6$ |
$( x^{2} + 6 x + 3 )^{3} + 7 x$ |
$7$ |
$2$ |
$3$ |
$4$ |
$C_6$ (as 6T1) |
$2$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{2}$ |
$[\ ]_{3}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{2} + 6 t + 3$ |
$x^{3} + 7 t$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 7.2.3.4a1.2 |
$6$ |
$( x^{2} + 6 x + 3 )^{3} + 7$ |
$7$ |
$2$ |
$3$ |
$4$ |
$C_6$ (as 6T1) |
$2$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{2}$ |
$[\ ]_{3}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{2} + 6 t + 3$ |
$x^{3} + 7$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 7.2.3.4a1.3 |
$6$ |
$( x^{2} + 6 x + 3 )^{3} + 7 x + 28$ |
$7$ |
$2$ |
$3$ |
$4$ |
$C_6$ (as 6T1) |
$2$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{2}$ |
$[\ ]_{3}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{2} + 6 t + 3$ |
$x^{3} + 7 t + 28$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 7.1.6.5a1.1 |
$6$ |
$x^{6} + 7$ |
$7$ |
$1$ |
$6$ |
$5$ |
$C_6$ (as 6T1) |
$1$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t + 4$ |
$x^{6} + 7$ |
$[0]$ |
$[1]$ |
$z^5 + 6 z^4 + z^3 + 6 z^2 + z + 6$ |
$[1]$ |
| 7.1.6.5a1.2 |
$6$ |
$x^{6} + 14$ |
$7$ |
$1$ |
$6$ |
$5$ |
$C_6$ (as 6T1) |
$1$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t + 4$ |
$x^{6} + 14$ |
$[0]$ |
$[1]$ |
$z^5 + 6 z^4 + z^3 + 6 z^2 + z + 6$ |
undefined |
| 7.1.6.5a1.3 |
$6$ |
$x^{6} + 21$ |
$7$ |
$1$ |
$6$ |
$5$ |
$C_6$ (as 6T1) |
$1$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t + 4$ |
$x^{6} + 21$ |
$[0]$ |
$[1]$ |
$z^5 + 6 z^4 + z^3 + 6 z^2 + z + 6$ |
undefined |
| 7.1.6.5a1.4 |
$6$ |
$x^{6} + 28$ |
$7$ |
$1$ |
$6$ |
$5$ |
$C_6$ (as 6T1) |
$1$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t + 4$ |
$x^{6} + 28$ |
$[0]$ |
$[1]$ |
$z^5 + 6 z^4 + z^3 + 6 z^2 + z + 6$ |
undefined |
| 7.1.6.5a1.5 |
$6$ |
$x^{6} + 35$ |
$7$ |
$1$ |
$6$ |
$5$ |
$C_6$ (as 6T1) |
$1$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t + 4$ |
$x^{6} + 35$ |
$[0]$ |
$[1]$ |
$z^5 + 6 z^4 + z^3 + 6 z^2 + z + 6$ |
undefined |
| 7.1.6.5a1.6 |
$6$ |
$x^{6} + 42$ |
$7$ |
$1$ |
$6$ |
$5$ |
$C_6$ (as 6T1) |
$1$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t + 4$ |
$x^{6} + 42$ |
$[0]$ |
$[1]$ |
$z^5 + 6 z^4 + z^3 + 6 z^2 + z + 6$ |
undefined |
| 7.7.1.0a1.1 |
$7$ |
$x^{7} + 6 x + 4$ |
$7$ |
$7$ |
$1$ |
$0$ |
$C_7$ (as 7T1) |
$7$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{7}$ |
$[\ ]^{7}$ |
$[\ ]$ |
$[\ ]$ |
$7$ |
$t^{7} + 6 t + 4$ |
$x - 7$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 7.1.7.7a1.1 |
$7$ |
$x^{7} + 7 x + 7$ |
$7$ |
$1$ |
$7$ |
$7$ |
$F_7$ (as 7T4) |
$1$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$1$ |
$t + 4$ |
$x^{7} + 7 x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + 6$ |
undefined |
| 7.1.7.7a1.2 |
$7$ |
$x^{7} + 14 x + 7$ |
$7$ |
$1$ |
$7$ |
$7$ |
$F_7$ (as 7T4) |
$1$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$1$ |
$t + 4$ |
$x^{7} + 14 x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + 5$ |
undefined |
| 7.1.7.7a1.3 |
$7$ |
$x^{7} + 21 x + 7$ |
$7$ |
$1$ |
$7$ |
$7$ |
$F_7$ (as 7T4) |
$1$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$1$ |
$t + 4$ |
$x^{7} + 21 x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + 4$ |
undefined |
| 7.1.7.7a1.4 |
$7$ |
$x^{7} + 28 x + 7$ |
$7$ |
$1$ |
$7$ |
$7$ |
$F_7$ (as 7T4) |
$1$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$1$ |
$t + 4$ |
$x^{7} + 28 x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + 3$ |
undefined |
| 7.1.7.7a1.5 |
$7$ |
$x^{7} + 35 x + 7$ |
$7$ |
$1$ |
$7$ |
$7$ |
$F_7$ (as 7T4) |
$1$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$1$ |
$t + 4$ |
$x^{7} + 35 x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 7.1.7.7a1.6 |
$7$ |
$x^{7} + 42 x + 7$ |
$7$ |
$1$ |
$7$ |
$7$ |
$F_7$ (as 7T4) |
$1$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}]_{6}$ |
$[\frac{1}{6}]_{6}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$1$ |
$t + 4$ |
$x^{7} + 42 x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + 1$ |
undefined |
| 7.1.7.8a1.1 |
$7$ |
$x^{7} + 21 x^{2} + 7$ |
$7$ |
$1$ |
$7$ |
$8$ |
$F_7$ (as 7T4) |
$2$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}]_{3}^{2}$ |
$[\frac{1}{3}]_{3}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$1$ |
$t + 4$ |
$x^{7} + 21 x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
$z^2 + 1$ |
undefined |
| 7.1.7.8a1.2 |
$7$ |
$x^{7} + 35 x^{2} + 7$ |
$7$ |
$1$ |
$7$ |
$8$ |
$F_7$ (as 7T4) |
$2$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}]_{3}^{2}$ |
$[\frac{1}{3}]_{3}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$1$ |
$t + 4$ |
$x^{7} + 35 x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
$z^2 + 4$ |
undefined |
| 7.1.7.8a1.3 |
$7$ |
$x^{7} + 42 x^{2} + 7$ |
$7$ |
$1$ |
$7$ |
$8$ |
$F_7$ (as 7T4) |
$2$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}]_{3}^{2}$ |
$[\frac{1}{3}]_{3}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$1$ |
$t + 4$ |
$x^{7} + 42 x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
$z^2 + 2$ |
undefined |
| 7.1.7.8a2.1 |
$7$ |
$x^{7} + 7 x^{2} + 7$ |
$7$ |
$1$ |
$7$ |
$8$ |
$C_7:C_3$ (as 7T3) |
$1$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}]_{3}$ |
$[\frac{1}{3}]_{3}$ |
$[\ ]_{3}$ |
$[\ ]_{3}$ |
$1$ |
$t + 4$ |
$x^{7} + 7 x^{2} + 7$ |
$[2, 0]$ |
$[1]$ |
$z^2 + 5$ |
undefined |
| 7.1.7.8a2.2 |
$7$ |
$x^{7} + 14 x^{2} + 7$ |
$7$ |
$1$ |
$7$ |
$8$ |
$C_7:C_3$ (as 7T3) |
$1$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}]_{3}$ |
$[\frac{1}{3}]_{3}$ |
$[\ ]_{3}$ |
$[\ ]_{3}$ |
$1$ |
$t + 4$ |
$x^{7} + 14 x^{2} + 7$ |
$[2, 0]$ |
$[1]$ |
$z^2 + 3$ |
undefined |
| 7.1.7.8a2.3 |
$7$ |
$x^{7} + 28 x^{2} + 7$ |
$7$ |
$1$ |
$7$ |
$8$ |
$C_7:C_3$ (as 7T3) |
$1$ |
$3$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}]_{3}$ |
$[\frac{1}{3}]_{3}$ |
$[\ ]_{3}$ |
$[\ ]_{3}$ |
$1$ |
$t + 4$ |
$x^{7} + 28 x^{2} + 7$ |
$[2, 0]$ |
$[1]$ |
$z^2 + 6$ |
undefined |
| 7.1.7.9a1.1 |
$7$ |
$x^{7} + 14 x^{3} + 7$ |
$7$ |
$1$ |
$7$ |
$9$ |
$D_{7}$ (as 7T2) |
$1$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}]_{2}$ |
$[\frac{1}{2}]_{2}$ |
$[\ ]_{2}$ |
$[\ ]_{2}$ |
$1$ |
$t + 4$ |
$x^{7} + 14 x^{3} + 7$ |
$[3, 0]$ |
$[1]$ |
$z^3 + 1$ |
undefined |
| 7.1.7.9a1.2 |
$7$ |
$x^{7} + 35 x^{3} + 7$ |
$7$ |
$1$ |
$7$ |
$9$ |
$D_{7}$ (as 7T2) |
$1$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}]_{2}$ |
$[\frac{1}{2}]_{2}$ |
$[\ ]_{2}$ |
$[\ ]_{2}$ |
$1$ |
$t + 4$ |
$x^{7} + 35 x^{3} + 7$ |
$[3, 0]$ |
$[1]$ |
$z^3 + 6$ |
undefined |
| 7.1.7.9a2.1 |
$7$ |
$x^{7} + 21 x^{3} + 7$ |
$7$ |
$1$ |
$7$ |
$9$ |
$F_7$ (as 7T4) |
$3$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}]_{2}^{3}$ |
$[\frac{1}{2}]_{2}^{3}$ |
$[\ ]^{3}_{2}$ |
$[\ ]^{3}_{2}$ |
$1$ |
$t + 4$ |
$x^{7} + 21 x^{3} + 7$ |
$[3, 0]$ |
$[3]$ |
$z^3 + 5$ |
undefined |
| 7.1.7.9a2.2 |
$7$ |
$x^{7} + 28 x^{3} + 7$ |
$7$ |
$1$ |
$7$ |
$9$ |
$F_7$ (as 7T4) |
$3$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}]_{2}^{3}$ |
$[\frac{1}{2}]_{2}^{3}$ |
$[\ ]^{3}_{2}$ |
$[\ ]^{3}_{2}$ |
$1$ |
$t + 4$ |
$x^{7} + 28 x^{3} + 7$ |
$[3, 0]$ |
$[3]$ |
$z^3 + 2$ |
undefined |
| 7.1.7.9a3.1 |
$7$ |
$x^{7} + 7 x^{3} + 7$ |
$7$ |
$1$ |
$7$ |
$9$ |
$F_7$ (as 7T4) |
$3$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}]_{2}^{3}$ |
$[\frac{1}{2}]_{2}^{3}$ |
$[\ ]^{3}_{2}$ |
$[\ ]^{3}_{2}$ |
$1$ |
$t + 4$ |
$x^{7} + 7 x^{3} + 7$ |
$[3, 0]$ |
$[3]$ |
$z^3 + 4$ |
undefined |
| 7.1.7.9a3.2 |
$7$ |
$x^{7} + 42 x^{3} + 7$ |
$7$ |
$1$ |
$7$ |
$9$ |
$F_7$ (as 7T4) |
$3$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}]_{2}^{3}$ |
$[\frac{1}{2}]_{2}^{3}$ |
$[\ ]^{3}_{2}$ |
$[\ ]^{3}_{2}$ |
$1$ |
$t + 4$ |
$x^{7} + 42 x^{3} + 7$ |
$[3, 0]$ |
$[3]$ |
$z^3 + 3$ |
undefined |
| 7.1.7.10a1.1 |
$7$ |
$x^{7} + 21 x^{4} + 7$ |
$7$ |
$1$ |
$7$ |
$10$ |
$F_7$ (as 7T4) |
$2$ |
$3$ |
$[\frac{5}{3}]$ |
$[\frac{2}{3}]$ |
$[\frac{5}{3}]_{3}^{2}$ |
$[\frac{2}{3}]_{3}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$1$ |
$t + 4$ |
$x^{7} + 21 x^{4} + 7$ |
$[4, 0]$ |
$[2]$ |
$z^2 + 2$ |
undefined |
| 7.1.7.10a1.2 |
$7$ |
$x^{7} + 35 x^{4} + 7$ |
$7$ |
$1$ |
$7$ |
$10$ |
$F_7$ (as 7T4) |
$2$ |
$3$ |
$[\frac{5}{3}]$ |
$[\frac{2}{3}]$ |
$[\frac{5}{3}]_{3}^{2}$ |
$[\frac{2}{3}]_{3}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$1$ |
$t + 4$ |
$x^{7} + 35 x^{4} + 7$ |
$[4, 0]$ |
$[2]$ |
$z^2 + 1$ |
undefined |
| 7.1.7.10a1.3 |
$7$ |
$x^{7} + 42 x^{4} + 7$ |
$7$ |
$1$ |
$7$ |
$10$ |
$F_7$ (as 7T4) |
$2$ |
$3$ |
$[\frac{5}{3}]$ |
$[\frac{2}{3}]$ |
$[\frac{5}{3}]_{3}^{2}$ |
$[\frac{2}{3}]_{3}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$1$ |
$t + 4$ |
$x^{7} + 42 x^{4} + 7$ |
$[4, 0]$ |
$[2]$ |
$z^2 + 4$ |
undefined |
| 7.1.7.10a2.1 |
$7$ |
$x^{7} + 7 x^{4} + 7$ |
$7$ |
$1$ |
$7$ |
$10$ |
$C_7:C_3$ (as 7T3) |
$1$ |
$3$ |
$[\frac{5}{3}]$ |
$[\frac{2}{3}]$ |
$[\frac{5}{3}]_{3}$ |
$[\frac{2}{3}]_{3}$ |
$[\ ]_{3}$ |
$[\ ]_{3}$ |
$1$ |
$t + 4$ |
$x^{7} + 7 x^{4} + 7$ |
$[4, 0]$ |
$[1]$ |
$z^2 + 3$ |
undefined |
