Results (displaying matches 1-50 of 59)
Next
| Label |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
Slope content |
| 2.4.0.1 |
x4 - x + 1 |
2 |
1 |
4 |
0 |
$C_4$ (as 4T1) |
$ [\ ]^{4}$ |
| 2.4.4.1 |
x4 + 8x2 + 4 |
2 |
2 |
2 |
4 |
$C_2^2$ (as 4T2) |
$ [2]^{2}$ |
| 2.4.4.2 |
x4 - x2 + 5 |
2 |
2 |
2 |
4 |
$C_4$ (as 4T1) |
$ [2]^{2}$ |
| 2.4.4.3 |
x4 + 2x2 + 4x + 4 |
2 |
2 |
2 |
4 |
$D_{4}$ (as 4T3) |
$ [2, 2]^{2}$ |
| 2.4.4.4 |
x4 - 5 |
2 |
2 |
2 |
4 |
$D_{4}$ (as 4T3) |
$ [2, 2]^{2}$ |
| 2.4.4.5 |
x4 + 2x + 2 |
2 |
4 |
1 |
4 |
$S_4$ (as 4T5) |
$ [4/3, 4/3]_{3}^{2}$ |
| 2.4.6.1 |
x4 - 6x2 + 4 |
2 |
2 |
2 |
6 |
$C_2^2$ (as 4T2) |
$ [3]^{2}$ |
| 2.4.6.2 |
x4 - 2x2 + 4 |
2 |
2 |
2 |
6 |
$C_2^2$ (as 4T2) |
$ [3]^{2}$ |
| 2.4.6.3 |
x4 + 2x2 + 20 |
2 |
2 |
2 |
6 |
$C_4$ (as 4T1) |
$ [3]^{2}$ |
| 2.4.6.4 |
x4 - 2x2 + 20 |
2 |
2 |
2 |
6 |
$C_4$ (as 4T1) |
$ [3]^{2}$ |
| 2.4.6.5 |
x4 + 2x2 - 4 |
2 |
2 |
2 |
6 |
$D_{4}$ (as 4T3) |
$ [2, 3]^{2}$ |
| 2.4.6.6 |
x4 - 20 |
2 |
2 |
2 |
6 |
$D_{4}$ (as 4T3) |
$ [2, 3]^{2}$ |
| 2.4.6.7 |
x4 + 2x3 + 2x2 + 2 |
2 |
4 |
1 |
6 |
$A_4$ (as 4T4) |
$ [2, 2]^{3}$ |
| 2.4.6.8 |
x4 + 2x3 + 2 |
2 |
4 |
1 |
6 |
$D_{4}$ (as 4T3) |
$ [2, 2]^{2}$ |
| 2.4.6.9 |
x4 + 2x3 + 6 |
2 |
4 |
1 |
6 |
$D_{4}$ (as 4T3) |
$ [2, 2]^{2}$ |
| 2.4.8.1 |
x4 + 2x2 + 4x + 10 |
2 |
4 |
1 |
8 |
$C_2^2$ (as 4T2) |
$ [2, 3]$ |
| 2.4.8.2 |
x4 + 6x2 + 1 |
2 |
4 |
1 |
8 |
$C_2^2$ (as 4T2) |
$ [2, 3]$ |
| 2.4.8.3 |
x4 + 6x2 + 4x + 14 |
2 |
4 |
1 |
8 |
$C_2^2$ (as 4T2) |
$ [2, 3]$ |
| 2.4.8.4 |
x4 + 6x2 + 4x + 6 |
2 |
4 |
1 |
8 |
$C_2^2$ (as 4T2) |
$ [2, 3]$ |
| 2.4.8.5 |
x4 + 2x2 + 4x + 6 |
2 |
4 |
1 |
8 |
$D_{4}$ (as 4T3) |
$ [2, 3]^{2}$ |
| 2.4.8.6 |
x4 + 6x2 + 4x + 2 |
2 |
4 |
1 |
8 |
$D_{4}$ (as 4T3) |
$ [2, 3]^{2}$ |
| 2.4.8.7 |
x4 + 4x2 + 4x + 2 |
2 |
4 |
1 |
8 |
$S_4$ (as 4T5) |
$ [8/3, 8/3]_{3}^{2}$ |
| 2.4.8.8 |
x4 + 4x + 2 |
2 |
4 |
1 |
8 |
$S_4$ (as 4T5) |
$ [8/3, 8/3]_{3}^{2}$ |
| 2.4.9.1 |
x4 + 6x2 + 2 |
2 |
4 |
1 |
9 |
$D_{4}$ (as 4T3) |
$ [2, 3, 7/2]$ |
| 2.4.9.2 |
x4 - 2x2 + 2 |
2 |
4 |
1 |
9 |
$D_{4}$ (as 4T3) |
$ [2, 3, 7/2]$ |
| 2.4.9.3 |
x4 + 6x2 + 10 |
2 |
4 |
1 |
9 |
$D_{4}$ (as 4T3) |
$ [2, 3, 7/2]$ |
| 2.4.9.4 |
x4 + 2x2 + 10 |
2 |
4 |
1 |
9 |
$D_{4}$ (as 4T3) |
$ [2, 3, 7/2]$ |
| 2.4.9.5 |
x4 + 2x2 - 2 |
2 |
4 |
1 |
9 |
$D_{4}$ (as 4T3) |
$ [2, 3, 7/2]$ |
| 2.4.9.6 |
x4 - 2x2 - 2 |
2 |
4 |
1 |
9 |
$D_{4}$ (as 4T3) |
$ [2, 3, 7/2]$ |
| 2.4.9.7 |
x4 + 2x2 + 6 |
2 |
4 |
1 |
9 |
$D_{4}$ (as 4T3) |
$ [2, 3, 7/2]$ |
| 2.4.9.8 |
x4 - 2x2 + 6 |
2 |
4 |
1 |
9 |
$D_{4}$ (as 4T3) |
$ [2, 3, 7/2]$ |
| 2.4.10.1 |
x4 + 2x2 - 9 |
2 |
4 |
1 |
10 |
$D_{4}$ (as 4T3) |
$ [2, 3, 7/2]$ |
| 2.4.10.2 |
x4 + 2x2 - 1 |
2 |
4 |
1 |
10 |
$D_{4}$ (as 4T3) |
$ [2, 3, 7/2]$ |
| 2.4.10.3 |
x4 + 6x2 - 9 |
2 |
4 |
1 |
10 |
$D_{4}$ (as 4T3) |
$ [2, 3, 7/2]$ |
| 2.4.10.4 |
x4 + 6x2 - 1 |
2 |
4 |
1 |
10 |
$D_{4}$ (as 4T3) |
$ [2, 3, 7/2]$ |
| 2.4.10.5 |
x4 - 6x2 + 3 |
2 |
4 |
1 |
10 |
$D_{4}$ (as 4T3) |
$ [2, 3, 7/2]$ |
| 2.4.10.6 |
x4 + 6x2 + 3 |
2 |
4 |
1 |
10 |
$D_{4}$ (as 4T3) |
$ [2, 3, 7/2]$ |
| 2.4.10.7 |
x4 - 2x2 + 3 |
2 |
4 |
1 |
10 |
$D_{4}$ (as 4T3) |
$ [2, 3, 7/2]$ |
| 2.4.10.8 |
x4 + 2x2 + 3 |
2 |
4 |
1 |
10 |
$D_{4}$ (as 4T3) |
$ [2, 3, 7/2]$ |
| 2.4.11.1 |
x4 + 12x2 + 2 |
2 |
4 |
1 |
11 |
$C_4$ (as 4T1) |
$ [3, 4]$ |
| 2.4.11.10 |
x4 + 8x + 6 |
2 |
4 |
1 |
11 |
$C_4$ (as 4T1) |
$ [3, 4]$ |
| 2.4.11.11 |
x4 + 10 |
2 |
4 |
1 |
11 |
$D_{4}$ (as 4T3) |
$ [2, 3, 4]$ |
| 2.4.11.12 |
x4 + 26 |
2 |
4 |
1 |
11 |
$D_{4}$ (as 4T3) |
$ [2, 3, 4]$ |
| 2.4.11.13 |
x4 + 4x2 + 14 |
2 |
4 |
1 |
11 |
$D_{4}$ (as 4T3) |
$ [3, 4]^{2}$ |
| 2.4.11.14 |
x4 + 8x + 10 |
2 |
4 |
1 |
11 |
$D_{4}$ (as 4T3) |
$ [3, 4]^{2}$ |
| 2.4.11.15 |
x4 + 30 |
2 |
4 |
1 |
11 |
$D_{4}$ (as 4T3) |
$ [2, 3, 4]$ |
| 2.4.11.16 |
x4 + 14 |
2 |
4 |
1 |
11 |
$D_{4}$ (as 4T3) |
$ [2, 3, 4]$ |
| 2.4.11.17 |
x4 + 4x2 + 6 |
2 |
4 |
1 |
11 |
$D_{4}$ (as 4T3) |
$ [3, 4]^{2}$ |
| 2.4.11.18 |
x4 + 12x2 + 6 |
2 |
4 |
1 |
11 |
$D_{4}$ (as 4T3) |
$ [3, 4]^{2}$ |
| 2.4.11.19 |
x4 + 22 |
2 |
4 |
1 |
11 |
$D_{4}$ (as 4T3) |
$ [2, 3, 4]$ |
Next
