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Results (displaying all 3 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 20.2.11734933549642070097920000000000.1 | x20 - 6x19 + 8x18 + 40x17 - 121x16 - 62x15 + 378x14 + 6x13 - 17x12 - 92x11 - 1660x10 - 888x9 + 2431x8 + 2410x7 - 914x6 + 714x5 + 2194x4 - 348x3 - 1052x2 - 208x - 169 | \( -\,2^{30}\cdot 5^{10}\cdot 47^{9} \) | $C_5:S_4$ (as 20T33) | Trivial (GRH) |
| 20.0.5095534855386564657677272489420689.1 | x20 - x19 + 5x18 - 60x17 + 124x16 - 29x15 + 306x14 - 1060x13 - 1828x12 + 5534x11 + 4106x10 - 11239x9 - 7296x8 + 11779x7 + 53197x6 - 108261x5 + 84143x4 - 20458x3 + 1348x2 - 321x + 87 | \( 3^{19}\cdot 547^{9} \) | $C_5:S_4$ (as 20T33) | Trivial (GRH) |
| 20.0.5343055556521822422488603677866788388864.1 | x20 - 4x19 - 19x18 + 26x17 + 479x16 - 772x15 - 2520x14 - 116x13 + 40588x12 - 58040x11 - 19094x10 - 171860x9 + 886820x8 - 2650572x7 + 1511325x6 + 8671992x5 + 14258529x4 + 2519982x3 + 11292687x2 + 5302152x + 10205433 | \( 2^{20}\cdot 3^{19}\cdot 547^{9} \) | $C_5:S_4$ (as 20T33) | $[2]$ (GRH) |