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Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 21.3.9189170618144909315408081035502459.1 | x21 - 6x20 + x19 + 52x18 - 51x17 - 142x16 + 188x15 - 115x14 - 342x13 + 1321x12 + 965x11 - 377x10 + 2697x9 + 2763x8 - 791x7 + 1655x6 + 4028x5 + 1469x4 + 47x3 + 113x2 - 6x + 5 | \( -\,11^{13}\cdot 29^{6}\cdot 668947^{2} \) | 21T140 | Trivial (GRH) |
| 21.3.2571214312996980646474746727059902452712523.1 | x21 - 8x20 - 76x19 + 884x18 + 1041x17 - 38604x16 + 74646x15 + 796788x14 - 3559335x13 - 5594078x12 + 65454625x11 - 75134674x10 - 526445392x9 + 1767437868x8 + 294495843x7 - 11518426413x6 + 21096865710x5 + 6876151449x4 - 81727980749x3 + 134917517464x2 - 101919304966x + 31099656773 | \( -\,3^{25}\cdot 13^{2}\cdot 73^{6}\cdot 3529^{2}\cdot 97609^{2} \) | 21T140 | $[3]$ (GRH) |
| 21.7.2861036198786598591687866576432858225312578593937827.1 | x21 - 9x20 - 90x19 + 787x18 + 4296x17 - 28263x16 - 142947x15 + 479493x14 + 3197667x13 - 1958951x12 - 41262153x11 - 58045893x10 + 208861462x9 + 795472488x8 + 742687431x7 - 1196191236x6 - 5911909311x5 - 16729068054x4 - 35608345120x3 - 48947636958x2 - 37810129356x - 12555717151 | \( -\,3^{29}\cdot 7^{2}\cdot 97^{4}\cdot 547^{6}\cdot 598963^{2} \) | 21T140 | $[3]$ (GRH) |
| 21.21.39789360310386150000506731885847486112966444380908203125.1 | x21 - 2x20 - 282x19 + 694x18 + 30404x17 - 105605x16 - 1633526x15 + 8001442x14 + 43406927x13 - 323471967x12 - 311640039x11 + 6828869520x10 - 11031544345x9 - 58942412407x8 + 255366050655x7 - 161340667892x6 - 1232149331283x5 + 4037136262928x4 - 6050548121526x3 + 5086865996131x2 - 2320345259596x + 448730689991 | \( 5^{11}\cdot 6679^{6}\cdot 3029801137501^{2} \) | 21T140 | $[3]$ (GRH) |