Results (displaying all 50 matches)
| Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
|---|---|---|---|---|---|---|
| x7 - x + 2 | 7 | 1 | 7 | 0 | $C_7$ (as 7T1) | $ [\ ]^{7}$ |
| x7 + 42x + 7 | 7 | 7 | 1 | 7 | $F_7$ (as 7T4) | $ [7/6]_{6}$ |
| x7 + 21x + 7 | 7 | 7 | 1 | 7 | $F_7$ (as 7T4) | $ [7/6]_{6}$ |
| x7 + 35x + 7 | 7 | 7 | 1 | 7 | $F_7$ (as 7T4) | $ [7/6]_{6}$ |
| x7 + 14x + 7 | 7 | 7 | 1 | 7 | $F_7$ (as 7T4) | $ [7/6]_{6}$ |
| x7 + 7x + 7 | 7 | 7 | 1 | 7 | $F_7$ (as 7T4) | $ [7/6]_{6}$ |
| x7 + 28x + 7 | 7 | 7 | 1 | 7 | $F_7$ (as 7T4) | $ [7/6]_{6}$ |
| x7 + 14x2 + 7 | 7 | 7 | 1 | 8 | $C_7:C_3$ (as 7T3) | $ [4/3]_{3}$ |
| x7 + 7x2 + 7 | 7 | 7 | 1 | 8 | $C_7:C_3$ (as 7T3) | $ [4/3]_{3}$ |
| x7 + 28x2 + 7 | 7 | 7 | 1 | 8 | $C_7:C_3$ (as 7T3) | $ [4/3]_{3}$ |
| x7 + 21x2 + 7 | 7 | 7 | 1 | 8 | $F_7$ (as 7T4) | $ [4/3]_{3}^{2}$ |
| x7 + 42x2 + 7 | 7 | 7 | 1 | 8 | $F_7$ (as 7T4) | $ [4/3]_{3}^{2}$ |
| x7 + 35x2 + 7 | 7 | 7 | 1 | 8 | $F_7$ (as 7T4) | $ [4/3]_{3}^{2}$ |
| x7 + 14x3 + 7 | 7 | 7 | 1 | 9 | $D_{7}$ (as 7T2) | $ [3/2]_{2}$ |
| x7 + 7x3 + 7 | 7 | 7 | 1 | 9 | $F_7$ (as 7T4) | $ [3/2]_{2}^{3}$ |
| x7 + 28x3 + 7 | 7 | 7 | 1 | 9 | $F_7$ (as 7T4) | $ [3/2]_{2}^{3}$ |
| x7 + 35x3 + 7 | 7 | 7 | 1 | 9 | $D_{7}$ (as 7T2) | $ [3/2]_{2}$ |
| x7 + 42x3 + 7 | 7 | 7 | 1 | 9 | $F_7$ (as 7T4) | $ [3/2]_{2}^{3}$ |
| x7 + 21x3 + 7 | 7 | 7 | 1 | 9 | $F_7$ (as 7T4) | $ [3/2]_{2}^{3}$ |
| x7 + 28x4 + 7 | 7 | 7 | 1 | 10 | $C_7:C_3$ (as 7T3) | $ [5/3]_{3}$ |
| x7 + 7x4 + 7 | 7 | 7 | 1 | 10 | $C_7:C_3$ (as 7T3) | $ [5/3]_{3}$ |
| x7 + 14x4 + 7 | 7 | 7 | 1 | 10 | $C_7:C_3$ (as 7T3) | $ [5/3]_{3}$ |
| x7 + 21x4 + 7 | 7 | 7 | 1 | 10 | $F_7$ (as 7T4) | $ [5/3]_{3}^{2}$ |
| x7 + 35x4 + 7 | 7 | 7 | 1 | 10 | $F_7$ (as 7T4) | $ [5/3]_{3}^{2}$ |
| x7 + 42x4 + 7 | 7 | 7 | 1 | 10 | $F_7$ (as 7T4) | $ [5/3]_{3}^{2}$ |
| x7 + 7x5 + 7 | 7 | 7 | 1 | 11 | $F_7$ (as 7T4) | $ [11/6]_{6}$ |
| x7 + 28x5 + 7 | 7 | 7 | 1 | 11 | $F_7$ (as 7T4) | $ [11/6]_{6}$ |
| x7 + 14x5 + 7 | 7 | 7 | 1 | 11 | $F_7$ (as 7T4) | $ [11/6]_{6}$ |
| x7 + 21x5 + 7 | 7 | 7 | 1 | 11 | $F_7$ (as 7T4) | $ [11/6]_{6}$ |
| x7 + 35x5 + 7 | 7 | 7 | 1 | 11 | $F_7$ (as 7T4) | $ [11/6]_{6}$ |
| x7 + 42x5 + 7 | 7 | 7 | 1 | 11 | $F_7$ (as 7T4) | $ [11/6]_{6}$ |
| x7 - 7x6 + 7 | 7 | 7 | 1 | 12 | $C_7$ (as 7T1) | $ [2]$ |
| x7 + 7x6 + 7 | 7 | 7 | 1 | 12 | $D_{7}$ (as 7T2) | $ [2]^{2}$ |
| x7 + 14x6 + 7 | 7 | 7 | 1 | 12 | $F_7$ (as 7T4) | $ [2]^{6}$ |
| x7 + 28x6 + 7 | 7 | 7 | 1 | 12 | $F_7$ (as 7T4) | $ [2]^{6}$ |
| x7 - 7x6 + 56 | 7 | 7 | 1 | 12 | $C_7$ (as 7T1) | $ [2]$ |
| x7 - 7x6 + 105 | 7 | 7 | 1 | 12 | $C_7$ (as 7T1) | $ [2]$ |
| x7 - 7x6 + 154 | 7 | 7 | 1 | 12 | $C_7$ (as 7T1) | $ [2]$ |
| x7 - 7x6 + 203 | 7 | 7 | 1 | 12 | $C_7$ (as 7T1) | $ [2]$ |
| x7 - 7x6 + 252 | 7 | 7 | 1 | 12 | $C_7$ (as 7T1) | $ [2]$ |
| x7 - 7x6 + 301 | 7 | 7 | 1 | 12 | $C_7$ (as 7T1) | $ [2]$ |
| x7 + 21x6 + 7 | 7 | 7 | 1 | 12 | $C_7:C_3$ (as 7T3) | $ [2]^{3}$ |
| x7 + 35x6 + 7 | 7 | 7 | 1 | 12 | $C_7:C_3$ (as 7T3) | $ [2]^{3}$ |
| x7 + 7 | 7 | 7 | 1 | 13 | $F_7$ (as 7T4) | $ [13/6]_{6}$ |
| x7 + 105 | 7 | 7 | 1 | 13 | $F_7$ (as 7T4) | $ [13/6]_{6}$ |
| x7 + 301 | 7 | 7 | 1 | 13 | $F_7$ (as 7T4) | $ [13/6]_{6}$ |
| x7 + 154 | 7 | 7 | 1 | 13 | $F_7$ (as 7T4) | $ [13/6]_{6}$ |
| x7 + 56 | 7 | 7 | 1 | 13 | $F_7$ (as 7T4) | $ [13/6]_{6}$ |
| x7 + 203 | 7 | 7 | 1 | 13 | $F_7$ (as 7T4) | $ [13/6]_{6}$ |
| x7 + 252 | 7 | 7 | 1 | 13 | $F_7$ (as 7T4) | $ [13/6]_{6}$ |