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Results (displaying all 20 matches)
| Label | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
|---|---|---|---|---|---|---|---|
| 7.12.0.1 | x12 + 3x2 - 2x + 3 | 7 | 1 | 12 | 0 | $C_{12}$ (as 12T1) | $ [\ ]^{12}$ |
| 7.12.6.1 | x12 + 294x8 + 3430x6 + 21609x4 + 487403x2 + 2941225 | 7 | 2 | 6 | 6 | $C_6\times C_2$ (as 12T2) | $ [\ ]_{2}^{6}$ |
| 7.12.6.2 | x12 + 7203x4 - 16807x2 + 588245 | 7 | 2 | 6 | 6 | $C_{12}$ (as 12T1) | $ [\ ]_{2}^{6}$ |
| 7.12.8.1 | x12 - 63x9 + 637x6 + 6174x3 + 300125 | 7 | 3 | 4 | 8 | $C_{12}$ (as 12T1) | $ [\ ]_{3}^{4}$ |
| 7.12.8.2 | x12 + 49x6 - 1029x3 + 12005 | 7 | 3 | 4 | 8 | $C_{12}$ (as 12T1) | $ [\ ]_{3}^{4}$ |
| 7.12.8.3 | x12 + 14x9 + 539x6 + 343x3 + 60025 | 7 | 3 | 4 | 8 | $C_{12}$ (as 12T1) | $ [\ ]_{3}^{4}$ |
| 7.12.9.1 | x12 - 49x4 + 686 | 7 | 4 | 3 | 9 | $D_4 \times C_3$ (as 12T14) | $ [\ ]_{4}^{6}$ |
| 7.12.9.2 | x12 - 14x8 + 49x4 - 1372 | 7 | 4 | 3 | 9 | $D_4 \times C_3$ (as 12T14) | $ [\ ]_{4}^{6}$ |
| 7.12.10.1 | x12 - 70x6 + 35721 | 7 | 6 | 2 | 10 | $C_6\times C_2$ (as 12T2) | $ [\ ]_{6}^{2}$ |
| 7.12.10.2 | x12 + 35x6 + 441 | 7 | 6 | 2 | 10 | $C_6\times C_2$ (as 12T2) | $ [\ ]_{6}^{2}$ |
| 7.12.10.3 | x12 - 49x6 + 3969 | 7 | 6 | 2 | 10 | $C_6\times C_2$ (as 12T2) | $ [\ ]_{6}^{2}$ |
| 7.12.10.4 | x12 - 7x6 + 147 | 7 | 6 | 2 | 10 | $C_{12}$ (as 12T1) | $ [\ ]_{6}^{2}$ |
| 7.12.10.5 | x12 + 56x6 + 1323 | 7 | 6 | 2 | 10 | $C_{12}$ (as 12T1) | $ [\ ]_{6}^{2}$ |
| 7.12.10.6 | x12 - 217x6 + 11907 | 7 | 6 | 2 | 10 | $C_{12}$ (as 12T1) | $ [\ ]_{6}^{2}$ |
| 7.12.11.1 | x12 + 14 | 7 | 12 | 1 | 11 | $D_4 \times C_3$ (as 12T14) | $ [\ ]_{12}^{2}$ |
| 7.12.11.2 | x12 + 56 | 7 | 12 | 1 | 11 | $D_4 \times C_3$ (as 12T14) | $ [\ ]_{12}^{2}$ |
| 7.12.11.3 | x12 + 224 | 7 | 12 | 1 | 11 | $D_4 \times C_3$ (as 12T14) | $ [\ ]_{12}^{2}$ |
| 7.12.11.4 | x12 - 7 | 7 | 12 | 1 | 11 | $D_4 \times C_3$ (as 12T14) | $ [\ ]_{12}^{2}$ |
| 7.12.11.5 | x12 - 28 | 7 | 12 | 1 | 11 | $D_4 \times C_3$ (as 12T14) | $ [\ ]_{12}^{2}$ |
| 7.12.11.6 | x12 - 112 | 7 | 12 | 1 | 11 | $D_4 \times C_3$ (as 12T14) | $ [\ ]_{12}^{2}$ |