Further refine search
Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 14.0.1360839089376598481428182003712.1 | x14 - 172x7 + 7424 | \( -\,2^{12}\cdot 7^{21}\cdot 29^{6} \) | $C_7^2:C_6$ (as 14T14) | $[7]$ (GRH) |
| 14.14.5443356357506393925712728014848.1 | x14 - 84x12 + 2625x10 - 38892x8 - 926x7 + 287042x6 + 16646x5 - 989016x4 - 23548x3 + 1195061x2 - 341446x - 146334 | \( 2^{14}\cdot 7^{21}\cdot 29^{6} \) | $C_7^2:C_6$ (as 14T14) | Trivial (GRH) |
| 14.14.22128144096926782426357811904512.1 | x14 - 6x13 - 59x12 + 380x11 + 631x10 - 6114x9 + 6477x8 + 12096x7 - 21795x6 - 1290x5 + 16631x4 - 6556x3 - 835x2 + 426x + 47 | \( 2^{27}\cdot 7^{14}\cdot 79^{6} \) | $C_7^2:C_6$ (as 14T14) | Trivial (GRH) |
| 14.0.12647794163900064506354188163131346368.1 | x14 - 551x7 + 195112 | \( -\,2^{6}\cdot 7^{21}\cdot 29^{12} \) | $C_7^2:C_6$ (as 14T14) | $[7, 14]$ (GRH) |