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Results (displaying all 6 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 20.4.28920784535654400000000000000.1 | x20 - 2x19 - 7x18 + 6x17 + 42x16 - 18x15 - 121x14 - 52x13 + 292x12 + 114x11 - 96x10 - 180x9 + 610x8 - 920x7 + 683x6 - 420x5 + 231x4 - 78x3 + 19x2 - 2x - 1 | \( 2^{24}\cdot 3^{24}\cdot 5^{14} \) | 20T145 | $[2]$ (GRH) |
| 20.4.34050628916015625000000000000.1 | x20 - 105x14 + 180x12 + 117x10 - 330x8 - 90x6 + 225x4 - 35x2 + 81 | \( 2^{12}\cdot 3^{20}\cdot 5^{22} \) | 20T145 | Trivial (GRH) |
| 20.0.585238828401142794165873178681.1 | x20 - 9x19 + 50x18 - 182x17 + 513x16 - 1144x15 + 2276x14 - 4140x13 + 7446x12 - 12391x11 + 19211x10 - 25956x9 + 31800x8 - 34122x7 + 32829x6 - 27669x5 + 20016x4 - 12631x3 + 6082x2 - 2920x + 1193 | \( 11^{10}\cdot 41^{12} \) | 20T145 | $[4]$ (GRH) |
| 20.0.9841893626795960030057286598656.1 | x20 - 6x19 + 16x18 - 40x17 + 69x16 + 44x15 - 275x14 - 36x13 + 1240x12 - 2696x11 + 3576x10 - 3812x9 + 5907x8 - 12888x7 + 25347x6 - 36688x5 + 26208x4 + 6056x3 - 16823x2 - 1620x + 7048 | \( 2^{20}\cdot 3^{24}\cdot 7^{16} \) | 20T145 | $[4]$ (GRH) |
| 20.20.6996929561265899684619283912699144044544.1 | x20 - 4x19 - 74x18 + 392x17 + 1350x16 - 11084x15 + 3911x14 + 98844x13 - 187882x12 - 195370x11 + 905766x10 - 674530x9 - 619334x8 + 1108148x7 - 298358x6 - 287006x5 + 161555x4 + 5686x3 - 12081x2 + 164x + 7 | \( 2^{24}\cdot 37^{10}\cdot 131^{8} \) | 20T145 | $[2]$ (GRH) |
| 20.20.17088376396387871021245779312640000000000.1 | x20 - 4x19 - 84x18 + 204x17 + 2735x16 - 2762x15 - 40692x14 + 574x13 + 258918x12 + 90408x11 - 738416x10 - 284990x9 + 977807x8 + 358416x7 - 578692x6 - 212816x5 + 115592x4 + 51424x3 + 2736x2 - 344x - 4 | \( 2^{24}\cdot 5^{10}\cdot 7^{16}\cdot 11^{12} \) | 20T145 | $[2]$ (GRH) |