Further refine search
Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 20.4.4244159221123694514715246343994140625.1 | x20 + 3x18 - 98x16 - 2142x14 - 12663x12 - 43302x10 + 43057x8 - 80742x6 + 847702x4 - 395577x2 + 53361 | \( 3^{14}\cdot 5^{14}\cdot 7^{14}\cdot 11^{8} \) | $C_5^2:Q_8$ (as 20T47) | $[5]$ (GRH) |
| 20.4.4244159221123694514715246343994140625.2 | x20 + 12x18 - 99x17 - 236x16 - 1221x15 + 1054x14 + 9342x13 + 40177x12 + 54018x11 - 90176x10 - 379482x9 - 366539x8 + 711180x7 + 1068910x6 - 370575x5 - 745940x4 - 236625x3 + 219900x2 + 314550x + 103525 | \( 3^{14}\cdot 5^{14}\cdot 7^{14}\cdot 11^{8} \) | $C_5^2:Q_8$ (as 20T47) | $[5]$ (GRH) |
| 20.20.1348081107066867047182181694339752197265625.1 | x20 - 10x19 - 45x18 + 690x17 + 255x16 - 18970x15 + 17675x14 + 269325x13 - 405450x12 - 2157325x11 + 3803273x10 + 10037010x9 - 18164180x8 - 27345215x7 + 44354270x6 + 45162920x5 - 49287350x4 - 48627275x3 + 16874650x2 + 25430025x + 6117451 | \( 3^{14}\cdot 5^{18}\cdot 43^{14} \) | $C_5^2:Q_8$ (as 20T47) | Trivial (GRH) |
| 20.20.2573949951469829350637332070400000000000000.1 | x20 - 120x18 - 108x17 + 5641x16 + 8736x15 - 134648x14 - 281880x13 + 1734073x12 + 4608864x11 - 11471684x10 - 40112652x9 + 29464915x8 + 179834256x7 + 31646308x6 - 379196064x5 - 261172829x4 + 293301600x3 + 299329500x2 - 50884740x - 82487645 | \( 2^{50}\cdot 3^{14}\cdot 5^{14}\cdot 23^{8} \) | $C_5^2:Q_8$ (as 20T47) | Trivial (GRH) |