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Results (displaying all 6 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 21.9.971025506391531716410052192808517632.1 | x21 - 42x19 - 28x18 + 756x17 + 1008x16 - 7305x15 - 15282x14 + 37035x13 + 123664x12 - 52677x11 - 539382x10 - 405392x9 + 987120x8 + 2007441x7 + 620538x6 - 2081484x5 - 3261240x4 - 2340560x3 - 949536x2 - 211008x - 20096 | \( 2^{14}\cdot 3^{21}\cdot 157^{2}\cdot 593^{3}\cdot 1033^{3} \) | 21T144 | Trivial (GRH) |
| 21.9.733074759778749309047228720717711720448.1 | x21 - 69x19 - 46x18 + 2043x17 + 2724x16 - 32707x15 - 67230x14 + 286632x13 + 873912x12 - 1070820x11 - 6122808x10 - 2253504x9 + 19682496x8 + 31706229x7 - 3678686x6 - 63451836x5 - 86436504x4 - 60419856x3 - 24391584x2 - 5420352x - 516224 | \( 2^{14}\cdot 3^{21}\cdot 37^{2}\cdot 59^{3}\cdot 109^{2}\cdot 10859^{3} \) | 21T144 | Trivial (GRH) |
| 21.3.5707572910555511153068160996700949842685179.1 | x21 - 3x20 - 108x19 + 123x18 + 5442x17 + 3396x16 - 152836x15 - 344844x14 + 2292597x13 + 9796933x12 - 10997643x11 - 130149309x10 - 166799713x9 + 659286855x8 + 2506068363x7 + 1933441494x6 - 6878938746x5 - 22716122469x4 - 32835062271x3 - 27152679840x2 - 12561579456x - 2552276719 | \( -\,3^{9}\cdot 37^{3}\cdot 2381^{3}\cdot 232597^{2}\cdot 2799847^{2} \) | 21T144 | $[3]$ (GRH) |
| 21.5.133228076990589082766892787384406577621911901.1 | x21 - 6x20 - 109x19 + 852x18 + 4054x17 - 49056x16 - 19772x15 + 1439643x14 - 2914462x13 - 20959603x12 + 93601933x11 + 73773944x10 - 1209292466x9 + 1909889766x8 + 5378436465x7 - 23689051810x6 + 21160307927x5 + 56749396678x4 - 187732639665x3 + 241813432964x2 - 156262915354x + 41965405847 | \( 3^{12}\cdot 19^{2}\cdot 271^{2}\cdot 2377^{2}\cdot 8689^{2}\cdot 280909^{3} \) | 21T144 | $[3]$ (GRH) |
| 21.5.602157249685783577798964485113044249656963472141.1 | x21 - 7x20 - 188x19 + 778x18 + 17508x17 - 17843x16 - 932140x15 - 1542174x14 + 26751880x13 + 113453527x12 - 285357185x11 - 2903686327x10 - 3836195996x9 + 26214572726x8 + 115945855524x7 + 105703821028x6 - 515904519138x5 - 2086385055472x4 - 3732486850641x3 - 3805861147297x2 - 2154688272800x - 530346668697 | \( 3^{10}\cdot 67^{2}\cdot 127^{2}\cdot 20731^{2}\cdot 121591^{2}\cdot 280909^{3} \) | 21T144 | $[3]$ (GRH) |
| 21.21.931192007497491224702187602363538249235506312513828125.1 | x21 - x20 - 215x19 + 640x18 + 18645x17 - 91995x16 - 765632x15 + 5866036x14 + 10971340x13 - 189950090x12 + 237521250x11 + 2913566900x10 - 11018686250x9 - 8525511250x8 + 134494325000x7 - 269648962500x6 - 217979037500x5 + 1983614003125x4 - 4146411671875x3 + 4497739562500x2 - 2601507421875x + 637943828125 | \( 5^{7}\cdot 71^{3}\cdot 541^{2}\cdot 283583^{3}\cdot 70634931391^{2} \) | 21T144 | $[3]$ (GRH) |