Refine search
Label | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
---|---|---|---|---|---|---|---|
2.7.0.1 | $x^{7} + x + 1$ | $2$ | $1$ | $7$ | $0$ | $C_7$ (as 7T1) | $[\ ]^{7}$ |
3.7.0.1 | $x^{7} + 2 x^{2} + 1$ | $3$ | $1$ | $7$ | $0$ | $C_7$ (as 7T1) | $[\ ]^{7}$ |
5.7.0.1 | $x^{7} + 3 x + 3$ | $5$ | $1$ | $7$ | $0$ | $C_7$ (as 7T1) | $[\ ]^{7}$ |
7.7.0.1 | $x^{7} + 6 x + 4$ | $7$ | $1$ | $7$ | $0$ | $C_7$ (as 7T1) | $[\ ]^{7}$ |
7.7.12.1 | $x^{7} + 42 x^{6} + 7$ | $7$ | $7$ | $1$ | $12$ | $C_7$ (as 7T1) | $[2]$ |
7.7.12.2 | $x^{7} + 42 x^{6} + 56$ | $7$ | $7$ | $1$ | $12$ | $C_7$ (as 7T1) | $[2]$ |
7.7.12.3 | $x^{7} + 42 x^{6} + 105$ | $7$ | $7$ | $1$ | $12$ | $C_7$ (as 7T1) | $[2]$ |
7.7.12.4 | $x^{7} + 42 x^{6} + 154$ | $7$ | $7$ | $1$ | $12$ | $C_7$ (as 7T1) | $[2]$ |
7.7.12.5 | $x^{7} + 42 x^{6} + 203$ | $7$ | $7$ | $1$ | $12$ | $C_7$ (as 7T1) | $[2]$ |
7.7.12.6 | $x^{7} + 42 x^{6} + 252$ | $7$ | $7$ | $1$ | $12$ | $C_7$ (as 7T1) | $[2]$ |
7.7.12.7 | $x^{7} + 42 x^{6} + 301$ | $7$ | $7$ | $1$ | $12$ | $C_7$ (as 7T1) | $[2]$ |
11.7.0.1 | $x^{7} + 4 x + 9$ | $11$ | $1$ | $7$ | $0$ | $C_7$ (as 7T1) | $[\ ]^{7}$ |
13.7.0.1 | $x^{7} + 3 x + 11$ | $13$ | $1$ | $7$ | $0$ | $C_7$ (as 7T1) | $[\ ]^{7}$ |
17.7.0.1 | $x^{7} + 12 x + 14$ | $17$ | $1$ | $7$ | $0$ | $C_7$ (as 7T1) | $[\ ]^{7}$ |
19.7.0.1 | $x^{7} + 6 x + 17$ | $19$ | $1$ | $7$ | $0$ | $C_7$ (as 7T1) | $[\ ]^{7}$ |
23.7.0.1 | $x^{7} + 21 x + 18$ | $23$ | $1$ | $7$ | $0$ | $C_7$ (as 7T1) | $[\ ]^{7}$ |
29.7.0.1 | $x^{7} + 2 x + 27$ | $29$ | $1$ | $7$ | $0$ | $C_7$ (as 7T1) | $[\ ]^{7}$ |
29.7.6.1 | $x^{7} + 232$ | $29$ | $7$ | $1$ | $6$ | $C_7$ (as 7T1) | $[\ ]_{7}$ |
29.7.6.2 | $x^{7} + 29$ | $29$ | $7$ | $1$ | $6$ | $C_7$ (as 7T1) | $[\ ]_{7}$ |
29.7.6.3 | $x^{7} + 87$ | $29$ | $7$ | $1$ | $6$ | $C_7$ (as 7T1) | $[\ ]_{7}$ |
29.7.6.4 | $x^{7} + 174$ | $29$ | $7$ | $1$ | $6$ | $C_7$ (as 7T1) | $[\ ]_{7}$ |
29.7.6.5 | $x^{7} + 58$ | $29$ | $7$ | $1$ | $6$ | $C_7$ (as 7T1) | $[\ ]_{7}$ |
29.7.6.6 | $x^{7} + 319$ | $29$ | $7$ | $1$ | $6$ | $C_7$ (as 7T1) | $[\ ]_{7}$ |
29.7.6.7 | $x^{7} + 116$ | $29$ | $7$ | $1$ | $6$ | $C_7$ (as 7T1) | $[\ ]_{7}$ |
31.7.0.1 | $x^{7} + x + 28$ | $31$ | $1$ | $7$ | $0$ | $C_7$ (as 7T1) | $[\ ]^{7}$ |
37.7.0.1 | $x^{7} + 7 x + 35$ | $37$ | $1$ | $7$ | $0$ | $C_7$ (as 7T1) | $[\ ]^{7}$ |
41.7.0.1 | $x^{7} + 6 x + 35$ | $41$ | $1$ | $7$ | $0$ | $C_7$ (as 7T1) | $[\ ]^{7}$ |
43.7.0.1 | $x^{7} + 42 x^{2} + 7 x + 40$ | $43$ | $1$ | $7$ | $0$ | $C_7$ (as 7T1) | $[\ ]^{7}$ |
43.7.6.1 | $x^{7} + 43$ | $43$ | $7$ | $1$ | $6$ | $C_7$ (as 7T1) | $[\ ]_{7}$ |
43.7.6.2 | $x^{7} + 387$ | $43$ | $7$ | $1$ | $6$ | $C_7$ (as 7T1) | $[\ ]_{7}$ |
43.7.6.3 | $x^{7} + 215$ | $43$ | $7$ | $1$ | $6$ | $C_7$ (as 7T1) | $[\ ]_{7}$ |
43.7.6.4 | $x^{7} + 86$ | $43$ | $7$ | $1$ | $6$ | $C_7$ (as 7T1) | $[\ ]_{7}$ |
43.7.6.5 | $x^{7} + 129$ | $43$ | $7$ | $1$ | $6$ | $C_7$ (as 7T1) | $[\ ]_{7}$ |
43.7.6.6 | $x^{7} + 430$ | $43$ | $7$ | $1$ | $6$ | $C_7$ (as 7T1) | $[\ ]_{7}$ |
43.7.6.7 | $x^{7} + 172$ | $43$ | $7$ | $1$ | $6$ | $C_7$ (as 7T1) | $[\ ]_{7}$ |
47.7.0.1 | $x^{7} + 12 x + 42$ | $47$ | $1$ | $7$ | $0$ | $C_7$ (as 7T1) | $[\ ]^{7}$ |
53.7.0.1 | $x^{7} + 9 x + 51$ | $53$ | $1$ | $7$ | $0$ | $C_7$ (as 7T1) | $[\ ]^{7}$ |
59.7.0.1 | $x^{7} + 10 x + 57$ | $59$ | $1$ | $7$ | $0$ | $C_7$ (as 7T1) | $[\ ]^{7}$ |
61.7.0.1 | $x^{7} + 2 x + 59$ | $61$ | $1$ | $7$ | $0$ | $C_7$ (as 7T1) | $[\ ]^{7}$ |
67.7.0.1 | $x^{7} + 7 x + 65$ | $67$ | $1$ | $7$ | $0$ | $C_7$ (as 7T1) | $[\ ]^{7}$ |
71.7.0.1 | $x^{7} + 2 x + 64$ | $71$ | $1$ | $7$ | $0$ | $C_7$ (as 7T1) | $[\ ]^{7}$ |
71.7.6.1 | $x^{7} + 71$ | $71$ | $7$ | $1$ | $6$ | $C_7$ (as 7T1) | $[\ ]_{7}$ |
71.7.6.2 | $x^{7} + 142$ | $71$ | $7$ | $1$ | $6$ | $C_7$ (as 7T1) | $[\ ]_{7}$ |
71.7.6.3 | $x^{7} + 213$ | $71$ | $7$ | $1$ | $6$ | $C_7$ (as 7T1) | $[\ ]_{7}$ |
71.7.6.4 | $x^{7} + 426$ | $71$ | $7$ | $1$ | $6$ | $C_7$ (as 7T1) | $[\ ]_{7}$ |
71.7.6.5 | $x^{7} + 639$ | $71$ | $7$ | $1$ | $6$ | $C_7$ (as 7T1) | $[\ ]_{7}$ |
71.7.6.6 | $x^{7} + 1278$ | $71$ | $7$ | $1$ | $6$ | $C_7$ (as 7T1) | $[\ ]_{7}$ |
71.7.6.7 | $x^{7} + 497$ | $71$ | $7$ | $1$ | $6$ | $C_7$ (as 7T1) | $[\ ]_{7}$ |
73.7.0.1 | $x^{7} + 10 x + 68$ | $73$ | $1$ | $7$ | $0$ | $C_7$ (as 7T1) | $[\ ]^{7}$ |
79.7.0.1 | $x^{7} + 4 x + 76$ | $79$ | $1$ | $7$ | $0$ | $C_7$ (as 7T1) | $[\ ]^{7}$ |