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Results (displaying all 6 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 21.3.1384006141387391801966966447918497972224.1 | x21 - 21x19 - 22x18 + 171x17 + 354x16 - 1512x15 - 1944x14 + 1191x13 + 10124x12 - 17838x11 - 13044x10 - 85563x9 + 17388x8 - 356328x7 + 18482x6 + 4896x5 - 145008x4 + 33328x3 + 28224x2 - 18816x - 6272 | \( -\,2^{14}\cdot 3^{22}\cdot 7^{2}\cdot 11^{9}\cdot 13^{12} \) | 21T133 | Trivial (GRH) |
| 21.3.318062903129424660912972298023257033932800.1 | x21 - 42x19 - 28x18 + 756x17 + 1008x16 - 7224x15 - 15120x14 + 35280x13 + 118720x12 - 42336x11 - 490560x10 - 390208x9 + 822528x8 + 1731690x7 + 587076x6 - 1685880x5 - 2690352x4 - 1936928x3 - 786240x2 - 174720x - 16640 | \( -\,2^{32}\cdot 3^{22}\cdot 5^{2}\cdot 7^{21}\cdot 13^{2} \) | 21T133 | Trivial (GRH) |
| 21.17.1368454290663395665925056058246076672368720216064.1 | x21 - 48x19 - 32x18 + 891x17 + 1188x16 - 7596x15 - 15984x14 + 24498x13 + 91376x12 + 26676x11 - 181896x10 - 255415x9 - 55836x8 + 176274x7 + 223260x6 + 146664x5 + 73584x4 + 33376x3 + 12096x2 + 2688x + 256 | \( 2^{41}\cdot 3^{40}\cdot 13^{15} \) | 21T133 | Trivial (GRH) |
| 21.9.55785954285731108195627351228809230233573158551552.1 | x21 + 39x19 - 26x18 + 495x17 - 660x16 + 1867x15 - 3294x14 - 7038x13 + 24136x12 - 80028x11 + 195624x10 - 267747x9 + 242892x8 - 83151x7 - 355746x6 + 901044x5 - 1050408x4 + 708912x3 - 284256x2 + 63168x - 6016 | \( 2^{41}\cdot 3^{22}\cdot 7^{12}\cdot 31^{9}\cdot 47^{2} \) | 21T133 | Trivial (GRH) |
| 21.13.24218276680387803330868490531847967746608778942945349632.1 | x21 - 8x20 - 100x19 + 760x18 + 3546x17 - 31335x16 - 46194x15 + 702781x14 - 296823x13 - 8745840x12 + 16495345x11 + 51009938x10 - 197150643x9 + 13893236x8 + 893190950x7 - 1499958683x6 + 51877462x5 + 3070734174x4 - 6898013923x3 + 11872540551x2 - 13647809835x + 6978115776 | \( 2^{12}\cdot 3^{4}\cdot 7^{12}\cdot 173^{9}\cdot 349^{2}\cdot 17661517^{2} \) | 21T133 | $[3]$ (GRH) |
| 21.13.3939527404840449202647348389943760445443805570249819965902848.1 | x21 - 6x20 - 196x19 + 908x18 + 16298x17 - 38657x16 - 805846x15 - 121733x14 + 23579189x13 + 60920978x12 - 321396183x11 - 1963423184x10 - 1073818319x9 + 21446736466x8 + 79483877862x7 + 59509268311x6 - 426733627582x5 - 1804226819510x4 - 3692869755195x3 - 4543444380349x2 - 3247488161475x - 1051284118606 | \( 2^{12}\cdot 7^{14}\cdot 19^{2}\cdot 79^{2}\cdot 173^{9}\cdot 967^{2}\cdot 2202121^{2} \) | 21T133 | $[3, 3, 3]$ (GRH) |