Further refine search
Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 21.7.13347832346292311387708944226103.1 | x21 - x20 - 9x19 + 10x18 + 28x17 - 211x16 + 324x15 + 384x14 - 1692x13 + 1991x12 + 2315x11 - 1214x10 - 9164x9 - 5328x8 + 34796x7 - 21283x6 - 16215x5 + 19798x4 - 2184x3 - 3057x2 + 711x - 41 | \( -\,3^{7}\cdot 29^{19} \) | $C_7\times S_3$ (as 21T6) | Trivial (GRH) |
| 21.7.716570317313053275835569057448231967.1 | x21 - x20 - 12x19 + 23x18 + 209x17 - 147x16 - 1451x15 + 840x14 + 5070x13 - 2978x12 - 15769x11 + 12105x10 + 20201x9 - 20848x8 - 11002x7 + 12758x6 + 6317x5 + 686x4 - 267x3 - 53x2 + 1 | \( -\,23^{7}\cdot 29^{18} \) | $C_7\times S_3$ (as 21T6) | Trivial (GRH) |
| 21.21.211665195536810304505959087862660999097.1 | x21 - 6x20 - 55x19 + 395x18 + 737x17 - 8463x16 + 1551x15 + 74059x14 - 69748x13 - 277632x12 + 287628x11 + 551344x10 - 344830x9 - 626935x8 - 12040x7 + 210641x6 + 62865x5 - 3790x4 - 2084x3 + 82x2 + 18x - 1 | \( 11^{7}\cdot 43^{19} \) | $C_7\times S_3$ (as 21T6) | Trivial (GRH) |
| 21.21.312995817795780583119591509136121488474112.1 | x21 - 3x20 - 85x19 + 342x18 + 2160x17 - 10377x16 - 23312x15 + 137697x14 + 119845x13 - 949109x12 - 298102x11 + 3636823x10 + 323164x9 - 7736312x8 - 41098x7 + 8529803x6 - 336531x5 - 4148808x4 + 355302x3 + 499880x2 - 70834x + 2329 | \( 2^{21}\cdot 71^{19} \) | $C_7\times S_3$ (as 21T6) | Trivial (GRH) |