Refine search
| Label |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
Slope content |
| 7.7.0.1 |
x7 - x + 2 |
$7$ |
$1$ |
$7$ |
$0$ |
$C_7$ (as 7T1) |
$ [\ ]^{7}$ |
| 7.7.7.1 |
x7 + 42x + 7 |
$7$ |
$7$ |
$1$ |
$7$ |
$F_7$ (as 7T4) |
$ [7/6]_{6}$ |
| 7.7.7.2 |
x7 + 21x + 7 |
$7$ |
$7$ |
$1$ |
$7$ |
$F_7$ (as 7T4) |
$ [7/6]_{6}$ |
| 7.7.7.3 |
x7 + 35x + 7 |
$7$ |
$7$ |
$1$ |
$7$ |
$F_7$ (as 7T4) |
$ [7/6]_{6}$ |
| 7.7.7.4 |
x7 + 14x + 7 |
$7$ |
$7$ |
$1$ |
$7$ |
$F_7$ (as 7T4) |
$ [7/6]_{6}$ |
| 7.7.7.5 |
x7 + 7x + 7 |
$7$ |
$7$ |
$1$ |
$7$ |
$F_7$ (as 7T4) |
$ [7/6]_{6}$ |
| 7.7.7.6 |
x7 + 28x + 7 |
$7$ |
$7$ |
$1$ |
$7$ |
$F_7$ (as 7T4) |
$ [7/6]_{6}$ |
| 7.7.8.1 |
x7 + 14x2 + 7 |
$7$ |
$7$ |
$1$ |
$8$ |
$C_7:C_3$ (as 7T3) |
$ [4/3]_{3}$ |
| 7.7.8.2 |
x7 + 7x2 + 7 |
$7$ |
$7$ |
$1$ |
$8$ |
$C_7:C_3$ (as 7T3) |
$ [4/3]_{3}$ |
| 7.7.8.3 |
x7 + 28x2 + 7 |
$7$ |
$7$ |
$1$ |
$8$ |
$C_7:C_3$ (as 7T3) |
$ [4/3]_{3}$ |
| 7.7.8.4 |
x7 + 21x2 + 7 |
$7$ |
$7$ |
$1$ |
$8$ |
$F_7$ (as 7T4) |
$ [4/3]_{3}^{2}$ |
| 7.7.8.5 |
x7 + 42x2 + 7 |
$7$ |
$7$ |
$1$ |
$8$ |
$F_7$ (as 7T4) |
$ [4/3]_{3}^{2}$ |
| 7.7.8.6 |
x7 + 35x2 + 7 |
$7$ |
$7$ |
$1$ |
$8$ |
$F_7$ (as 7T4) |
$ [4/3]_{3}^{2}$ |
| 7.7.9.1 |
x7 + 14x3 + 7 |
$7$ |
$7$ |
$1$ |
$9$ |
$D_{7}$ (as 7T2) |
$ [3/2]_{2}$ |
| 7.7.9.2 |
x7 + 7x3 + 7 |
$7$ |
$7$ |
$1$ |
$9$ |
$F_7$ (as 7T4) |
$ [3/2]_{2}^{3}$ |
| 7.7.9.3 |
x7 + 28x3 + 7 |
$7$ |
$7$ |
$1$ |
$9$ |
$F_7$ (as 7T4) |
$ [3/2]_{2}^{3}$ |
| 7.7.9.4 |
x7 + 35x3 + 7 |
$7$ |
$7$ |
$1$ |
$9$ |
$D_{7}$ (as 7T2) |
$ [3/2]_{2}$ |
| 7.7.9.5 |
x7 + 42x3 + 7 |
$7$ |
$7$ |
$1$ |
$9$ |
$F_7$ (as 7T4) |
$ [3/2]_{2}^{3}$ |
| 7.7.9.6 |
x7 + 21x3 + 7 |
$7$ |
$7$ |
$1$ |
$9$ |
$F_7$ (as 7T4) |
$ [3/2]_{2}^{3}$ |
| 7.7.10.1 |
x7 + 28x4 + 7 |
$7$ |
$7$ |
$1$ |
$10$ |
$C_7:C_3$ (as 7T3) |
$ [5/3]_{3}$ |
| 7.7.10.2 |
x7 + 7x4 + 7 |
$7$ |
$7$ |
$1$ |
$10$ |
$C_7:C_3$ (as 7T3) |
$ [5/3]_{3}$ |
| 7.7.10.3 |
x7 + 14x4 + 7 |
$7$ |
$7$ |
$1$ |
$10$ |
$C_7:C_3$ (as 7T3) |
$ [5/3]_{3}$ |
| 7.7.10.4 |
x7 + 21x4 + 7 |
$7$ |
$7$ |
$1$ |
$10$ |
$F_7$ (as 7T4) |
$ [5/3]_{3}^{2}$ |
| 7.7.10.5 |
x7 + 35x4 + 7 |
$7$ |
$7$ |
$1$ |
$10$ |
$F_7$ (as 7T4) |
$ [5/3]_{3}^{2}$ |
| 7.7.10.6 |
x7 + 42x4 + 7 |
$7$ |
$7$ |
$1$ |
$10$ |
$F_7$ (as 7T4) |
$ [5/3]_{3}^{2}$ |
| 7.7.11.1 |
x7 + 7x5 + 7 |
$7$ |
$7$ |
$1$ |
$11$ |
$F_7$ (as 7T4) |
$ [11/6]_{6}$ |
| 7.7.11.2 |
x7 + 28x5 + 7 |
$7$ |
$7$ |
$1$ |
$11$ |
$F_7$ (as 7T4) |
$ [11/6]_{6}$ |
| 7.7.11.3 |
x7 + 14x5 + 7 |
$7$ |
$7$ |
$1$ |
$11$ |
$F_7$ (as 7T4) |
$ [11/6]_{6}$ |
| 7.7.11.4 |
x7 + 21x5 + 7 |
$7$ |
$7$ |
$1$ |
$11$ |
$F_7$ (as 7T4) |
$ [11/6]_{6}$ |
| 7.7.11.5 |
x7 + 35x5 + 7 |
$7$ |
$7$ |
$1$ |
$11$ |
$F_7$ (as 7T4) |
$ [11/6]_{6}$ |
| 7.7.11.6 |
x7 + 42x5 + 7 |
$7$ |
$7$ |
$1$ |
$11$ |
$F_7$ (as 7T4) |
$ [11/6]_{6}$ |
| 7.7.12.1 |
x7 - 7x6 + 7 |
$7$ |
$7$ |
$1$ |
$12$ |
$C_7$ (as 7T1) |
$ [2]$ |
| 7.7.12.10 |
x7 + 7x6 + 7 |
$7$ |
$7$ |
$1$ |
$12$ |
$D_{7}$ (as 7T2) |
$ [2]^{2}$ |
| 7.7.12.11 |
x7 + 14x6 + 7 |
$7$ |
$7$ |
$1$ |
$12$ |
$F_7$ (as 7T4) |
$ [2]^{6}$ |
| 7.7.12.12 |
x7 + 28x6 + 7 |
$7$ |
$7$ |
$1$ |
$12$ |
$F_7$ (as 7T4) |
$ [2]^{6}$ |
| 7.7.12.2 |
x7 - 7x6 + 56 |
$7$ |
$7$ |
$1$ |
$12$ |
$C_7$ (as 7T1) |
$ [2]$ |
| 7.7.12.3 |
x7 - 7x6 + 105 |
$7$ |
$7$ |
$1$ |
$12$ |
$C_7$ (as 7T1) |
$ [2]$ |
| 7.7.12.4 |
x7 - 7x6 + 154 |
$7$ |
$7$ |
$1$ |
$12$ |
$C_7$ (as 7T1) |
$ [2]$ |
| 7.7.12.5 |
x7 - 7x6 + 203 |
$7$ |
$7$ |
$1$ |
$12$ |
$C_7$ (as 7T1) |
$ [2]$ |
| 7.7.12.6 |
x7 - 7x6 + 252 |
$7$ |
$7$ |
$1$ |
$12$ |
$C_7$ (as 7T1) |
$ [2]$ |
| 7.7.12.7 |
x7 - 7x6 + 301 |
$7$ |
$7$ |
$1$ |
$12$ |
$C_7$ (as 7T1) |
$ [2]$ |
| 7.7.12.8 |
x7 + 21x6 + 7 |
$7$ |
$7$ |
$1$ |
$12$ |
$C_7:C_3$ (as 7T3) |
$ [2]^{3}$ |
| 7.7.12.9 |
x7 + 35x6 + 7 |
$7$ |
$7$ |
$1$ |
$12$ |
$C_7:C_3$ (as 7T3) |
$ [2]^{3}$ |
| 7.7.13.1 |
x7 + 7 |
$7$ |
$7$ |
$1$ |
$13$ |
$F_7$ (as 7T4) |
$ [13/6]_{6}$ |
| 7.7.13.2 |
x7 + 105 |
$7$ |
$7$ |
$1$ |
$13$ |
$F_7$ (as 7T4) |
$ [13/6]_{6}$ |
| 7.7.13.3 |
x7 + 301 |
$7$ |
$7$ |
$1$ |
$13$ |
$F_7$ (as 7T4) |
$ [13/6]_{6}$ |
| 7.7.13.4 |
x7 + 154 |
$7$ |
$7$ |
$1$ |
$13$ |
$F_7$ (as 7T4) |
$ [13/6]_{6}$ |
| 7.7.13.5 |
x7 + 56 |
$7$ |
$7$ |
$1$ |
$13$ |
$F_7$ (as 7T4) |
$ [13/6]_{6}$ |
| 7.7.13.6 |
x7 + 203 |
$7$ |
$7$ |
$1$ |
$13$ |
$F_7$ (as 7T4) |
$ [13/6]_{6}$ |
| 7.7.13.7 |
x7 + 252 |
$7$ |
$7$ |
$1$ |
$13$ |
$F_7$ (as 7T4) |
$ [13/6]_{6}$ |
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