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Label Polynomial Discriminant Galois group Class group
21.5.112898976198702382674617175389497600.1 x21 - x20 - 3x19 + 10x18 - 9x17 - 5x16 + 83x15 - 139x14 - 436x13 - 411x12 - 872x11 - 742x10 + 583x9 + 984x8 + 1484x7 + 1498x6 - 868x5 - 1614x4 - 396x3 - 242x2 - 180x + 50 \( 2^{8}\cdot 5^{2}\cdot 13^{6}\cdot 229^{6}\cdot 159191^{2} \) 21T148 Trivial (GRH)
21.5.44638629831273548205675162811445428224.1 x21 + 18x19 - 72x18 + 33x17 - 1080x16 - 1098x15 - 6357x14 - 5688x13 + 745x12 - 3288x11 - 9459x10 - 59991x9 - 82185x8 - 50031x7 + 2277x6 + 5016x5 + 693x4 + 235x3 - 24x2 - 9x - 3 \( 2^{14}\cdot 3^{34}\cdot 73^{6}\cdot 1039^{2} \) 21T148 Trivial (GRH)
21.17.22434675424853910351209350075254473907901710336.1 x21 - 30x19 - 20x18 + 261x17 + 348x16 + 386x15 + 540x14 - 14058x13 - 38368x12 + 21573x11 + 182982x10 + 238397x9 + 75780x8 - 257349x7 - 827098x6 - 1443204x5 - 1539720x4 - 1015280x3 - 405216x2 - 90048x - 8576 \( 2^{14}\cdot 3^{40}\cdot 29^{6}\cdot 59^{6}\cdot 67^{2} \) 21T148 Trivial (GRH)
21.9.5278016519968931762985266928325781867429536088064.1 x21 - 2x20 - 137x19 + 76x18 + 8256x17 + 7881x16 - 273863x15 - 682412x14 + 4908610x13 + 21908430x12 - 31430107x11 - 341735080x10 - 388554126x9 + 2149192639x8 + 7548917866x7 + 4258627825x6 - 26496463968x5 - 78186606006x4 - 106751692680x3 - 83096492148x2 - 35694736587x - 6614508609 \( 2^{14}\cdot 3^{18}\cdot 73^{6}\cdot 277^{2}\cdot 54037^{2}\cdot 156601^{2} \) 21T148 $[3]$ (GRH)
21.9.177193979950258337575994520146048967739788554551296.1 x21 - 7x20 - 179x19 + 1247x18 + 12609x17 - 94719x16 - 412892x15 + 3985181x14 + 4536598x13 - 96835284x12 + 99001136x11 + 1243559662x10 - 3705078327x9 - 4772371825x8 + 40608994780x7 - 57026129008x6 - 91270392192x5 + 453911255946x4 - 759285255711x3 + 683243036028x2 - 331364142738x + 68436376461 \( 2^{14}\cdot 3^{18}\cdot 13^{2}\cdot 73^{6}\cdot 1044747370309^{2} \) 21T148 $[3]$ (GRH)
21.13.218227930326934861214217295120255573869289271660544.1 x21 + 24x19 - 16x18 - 459x17 + 612x16 - 11355x15 + 22302x14 + 46044x13 - 159128x12 + 1546074x11 - 4684332x10 + 4473917x9 + 2650860x8 - 37055628x7 + 136617936x6 - 258599088x5 + 283109760x4 - 187999040x3 + 75140352x2 - 16697856x + 1590272 \( 2^{12}\cdot 3^{28}\cdot 149^{6}\cdot 211^{6}\cdot 1553^{2} \) 21T148 Trivial (GRH)
21.17.72634439335292457799020819225268964693337406014810886144.1 x21 - 2x20 - 171x19 + 382x18 + 11912x17 - 32481x16 - 429436x15 + 1526480x14 + 8055557x13 - 41248212x12 - 53338116x11 + 608861484x10 - 646770880x9 - 3785920567x8 + 12784485391x7 - 7184639469x6 - 44121815960x5 + 134718155047x4 - 195425045976x3 + 166368871948x2 - 80382298352x + 17177529344 \( 2^{12}\cdot 149^{6}\cdot 211^{6}\cdot 1249^{2}\cdot 3431015743^{2} \) 21T148 $[3]$ (GRH)
21.21.2402550119368274484118955435600030173163169467760129642496.1 x21 - 9x20 - 166x19 + 1681x18 + 10386x17 - 132026x16 - 246888x15 + 5573674x14 - 2917633x13 - 131793916x12 + 307937724x11 + 1544609763x10 - 7129049062x9 - 2245737177x8 + 67402052396x7 - 128090775669x6 - 103888012885x5 + 811138023075x4 - 1505292777223x3 + 1441214825042x2 - 731120240340x + 156367753544 \( 2^{12}\cdot 73^{2}\cdot 149^{6}\cdot 211^{6}\cdot 1009^{2}\cdot 334607797^{2} \) 21T148 $[3]$ (GRH)
21.21.104207437796082958141427273984144296364513114703541496909824.1 x21 - 5x20 - 246x19 + 839x18 + 27034x17 - 43242x16 - 1698184x15 - 440054x14 + 63497079x13 + 134175966x12 - 1282886700x11 - 5581319611x10 + 7460683338x9 + 93358444781x8 + 171411106892x7 - 330750438735x6 - 2173940217037x5 - 4832279474773x4 - 6069436921399x3 - 4566926791152x2 - 1931184605132x - 354904851136 \( 2^{12}\cdot 19^{2}\cdot 149^{6}\cdot 211^{6}\cdot 709^{2}\cdot 12049343287^{2} \) 21T148 $[3]$ (GRH)


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