Further refine search
Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 21.9.3911025283603050524395497857313561.1 | x21 - 6x20 + 12x19 + 5x18 - 66x17 + 108x16 + 4x15 - 261x14 + 351x13 - 15x12 - 459x11 + 486x10 - 27x9 - 342x8 + 279x7 - 17x6 - 108x5 + 69x4 - 6x3 - 12x2 + 6x - 1 | \( 3^{18}\cdot 7^{14}\cdot 13^{2}\cdot 296773^{2} \) | 21T153 | Trivial (GRH) |
| 21.9.43077770085674387148520635740838321.1 | x21 - 6x20 + 12x19 + 4x18 - 63x17 + 108x16 - 9x15 - 243x14 + 360x13 - 57x12 - 432x11 + 513x10 - 69x9 - 333x8 + 297x7 - 30x6 - 108x5 + 72x4 - 7x3 - 12x2 + 6x - 1 | \( 3^{44}\cdot 181^{2}\cdot 36541^{2} \) | 21T153 | Trivial (GRH) |
| 21.21.77023971602373143047450273918178286388112224004493606492736.1 | x21 - x20 - 56x19 + 78x18 + 1275x17 - 2311x16 - 14856x15 + 34478x14 + 89028x13 - 279847x12 - 203817x11 + 1207545x10 - 384952x9 - 2348678x8 + 2510694x7 + 800599x6 - 2545651x5 + 1176607x4 + 141870x3 - 220083x2 + 35908x + 2113 | \( 2^{6}\cdot 7^{14}\cdot 13^{2}\cdot 43^{2}\cdot 127^{2}\cdot 9955541^{2}\cdot 59601376927^{2} \) | 21T153 | Trivial (GRH) |
| 21.21.264281891642047276904710624389705471956890680461868233887744.1 | x21 - 2x20 - 62x19 + 135x18 + 1525x17 - 3786x16 - 18845x15 + 56171x14 + 116749x13 - 468489x12 - 238467x11 + 2137623x10 - 1003737x9 - 4536095x8 + 5830445x7 + 1467637x6 - 7366310x5 + 5357467x4 - 1250551x3 - 188374x2 + 118116x - 11087 | \( 2^{12}\cdot 7^{14}\cdot 13^{2}\cdot 83^{2}\cdot 757^{2}\cdot 3375499^{2}\cdot 3537627827^{2} \) | 21T153 | Trivial (GRH) |