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Results (displaying all 17 matches)
| Label | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
|---|---|---|---|---|---|---|---|
| 5.12.0.1 | x12 - x3 - 2x + 3 | 5 | 1 | 12 | 0 | $C_{12}$ (as 12T1) | $ [\ ]^{12}$ |
| 5.12.6.1 | x12 + 500x6 - 3125x2 + 62500 | 5 | 2 | 6 | 6 | $C_6\times C_2$ (as 12T2) | $ [\ ]_{2}^{6}$ |
| 5.12.6.2 | x12 - 3125x2 + 31250 | 5 | 2 | 6 | 6 | $C_{12}$ (as 12T1) | $ [\ ]_{2}^{6}$ |
| 5.12.8.1 | x12 - 30x9 + 175x6 + 500x3 + 5000 | 5 | 3 | 4 | 8 | $C_3 : C_4$ (as 12T5) | $ [\ ]_{3}^{4}$ |
| 5.12.8.2 | x12 + 25x6 - 250x3 + 1250 | 5 | 3 | 4 | 8 | $C_3\times (C_3 : C_4)$ (as 12T19) | $ [\ ]_{3}^{12}$ |
| 5.12.9.1 | x12 - 10x8 - 375x4 - 2000 | 5 | 4 | 3 | 9 | $C_{12}$ (as 12T1) | $ [\ ]_{4}^{3}$ |
| 5.12.9.2 | x12 - 10x8 + 25x4 - 500 | 5 | 4 | 3 | 9 | $C_{12}$ (as 12T1) | $ [\ ]_{4}^{3}$ |
| 5.12.9.3 | x12 - 25x4 + 250 | 5 | 4 | 3 | 9 | $C_{12}$ (as 12T1) | $ [\ ]_{4}^{3}$ |
| 5.12.9.4 | x12 + 30x8 + 275x4 + 1000 | 5 | 4 | 3 | 9 | $C_{12}$ (as 12T1) | $ [\ ]_{4}^{3}$ |
| 5.12.10.1 | x12 + 6x11 + 27x10 + 80x9 + 195x8 + 366x7 + 571x6 + 702x5 + 1005x4 + 1140x3 + 357x2 - 138x + 44 | 5 | 6 | 2 | 10 | $D_6$ (as 12T3) | $ [\ ]_{6}^{2}$ |
| 5.12.10.2 | x12 + 15x6 + 100 | 5 | 6 | 2 | 10 | $C_6\times S_3$ (as 12T18) | $ [\ ]_{6}^{6}$ |
| 5.12.10.3 | x12 + 25x6 + 200 | 5 | 6 | 2 | 10 | $C_3 : C_4$ (as 12T5) | $ [\ ]_{6}^{2}$ |
| 5.12.10.4 | x12 - 5x6 + 50 | 5 | 6 | 2 | 10 | $C_3\times (C_3 : C_4)$ (as 12T19) | $ [\ ]_{6}^{6}$ |
| 5.12.11.1 | x12 - 5 | 5 | 12 | 1 | 11 | $S_3 \times C_4$ (as 12T11) | $ [\ ]_{12}^{2}$ |
| 5.12.11.2 | x12 - 20 | 5 | 12 | 1 | 11 | $S_3 \times C_4$ (as 12T11) | $ [\ ]_{12}^{2}$ |
| 5.12.11.3 | x12 + 10 | 5 | 12 | 1 | 11 | $S_3 \times C_4$ (as 12T11) | $ [\ ]_{12}^{2}$ |
| 5.12.11.4 | x12 + 40 | 5 | 12 | 1 | 11 | $S_3 \times C_4$ (as 12T11) | $ [\ ]_{12}^{2}$ |