Further refine search
Results (displaying all 5 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 21.5.34745317865011611886244272150166776826286229.1 | x21 - 4x20 - 90x19 + 411x18 + 3197x17 - 18197x16 - 51735x15 + 435956x14 + 181775x13 - 5893180x12 + 6396148x11 + 41981559x10 - 100640498x9 - 107519374x8 + 577043557x7 - 292735101x6 - 1092656431x5 + 1385415391x4 - 168690307x3 + 1127770366x2 - 3401414294x + 2197928707 | \( 13^{8}\cdot 109^{7}\cdot 2767^{2}\cdot 5516617^{2} \) | 21T135 | $[3]$ (GRH) |
| 21.7.18651305623818716641616831928805533457521463992423.1 | x21 - 6x20 - x19 + 714x18 - 1320x17 - 16412x16 + 116779x15 + 755118x14 - 7214026x13 - 19252253x12 + 230691434x11 - 448788104x10 - 3609444791x9 + 16592259769x8 + 30556007833x7 - 176322079186x6 - 40805180781x5 + 1007663299963x4 - 2348166641298x3 + 2325188715868x2 + 1904529690371x - 5106939083179 | \( -\,3^{7}\cdot 7^{2}\cdot 13^{8}\cdot 109^{7}\cdot 34163789377^{2} \) | 21T135 | Trivial (GRH) |
| 21.7.323819127905342656757725049443659148215578969036323.1 | x21 - 5x20 - 146x19 + 480x18 + 9933x17 - 12305x16 - 392104x15 - 318992x14 + 8812781x13 + 25420683x12 - 83897322x11 - 548389436x10 - 477355276x9 + 3751059111x8 + 13661117109x7 + 14746661675x6 - 22116563498x5 - 98567171796x4 - 156559935410x3 - 137413776641x2 - 65774960312x - 13243017217 | \( -\,7^{3}\cdot 13^{8}\cdot 109^{7}\cdot 229^{2}\cdot 6427^{2}\cdot 1709599^{2} \) | 21T135 | $[3]$ (GRH) |
| 21.21.295979008504268159194801141175012892451266523973852170551296.1 | x21 - 8x20 - 286x19 + 2840x18 + 28861x17 - 390612x16 - 916976x15 + 26203756x14 - 37177172x13 - 860207344x12 + 3524667960x11 + 10376543920x10 - 91345377426x9 + 79685739796x8 + 801910625048x7 - 2394572957544x6 + 104630015428x5 + 9746316853472x4 - 17207531688880x3 + 11715416366816x2 - 3156002844800x + 230279602424 | \( 2^{38}\cdot 37^{2}\cdot 809^{7}\cdot 2719^{2}\cdot 684904123^{2} \) | 21T135 | $[3]$ (GRH) |
| 21.21.671224291585908496499363217353382867321944006414911171198976.1 | x21 - 3x20 - 360x19 + 490x18 + 52133x17 + 4783x16 - 3971188x15 - 5849120x14 + 170036977x13 + 491175409x12 - 3850955660x11 - 18177913114x10 + 29752081517x9 + 310985105459x8 + 389336823036x7 - 1591049812736x6 - 6296785324498x5 - 9291161181634x4 - 6244315926316x3 - 1033295027152x2 + 792815974550x + 289256832754 | \( 2^{38}\cdot 809^{7}\cdot 103763375049979^{2} \) | 21T135 | $[3]$ (GRH) |