Further refine search
Results (displaying all 8 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 19.19.114445997944945591651333831028437092270721.1 | x19 - x18 - 90x17 + 57x16 + 3044x15 - 1124x14 - 51184x13 + 4822x12 + 474003x11 + 90110x10 - 2465084x9 - 1153239x8 + 6854098x7 + 5023125x6 - 8711114x5 - 8950277x4 + 2600136x3 + 5125792x2 + 1553447x + 117649 | \( 191^{18} \) | $C_{19}$ (as 19T1) | Trivial (GRH) |
| 19.19.2999429662895796650415561622892044448017561.1 | x19 - x18 - 108x17 + 213x16 + 4270x15 - 11618x14 - 74320x13 + 248057x12 + 559431x11 - 2225275x10 - 1928935x9 + 9223494x8 + 3299920x7 - 17492482x6 - 3737798x5 + 13322064x4 + 4255245x3 - 3318455x2 - 1865379x - 251347 | \( 229^{18} \) | $C_{19}$ (as 19T1) | Trivial (GRH) |
| 19.19.10842505080063916320800450434338728415281531281.1 | x19 - 171x17 - 133x16 + 11476x15 + 15580x14 - 385833x13 - 673436x12 + 6916190x11 + 13391960x10 - 66283229x9 - 126730380x8 + 339213156x7 + 582575340x6 - 861915924x5 - 1264657480x4 + 868638105x3 + 1138104275x2 - 137550709x - 221874931 | \( 19^{36} \) | $C_{19}$ (as 19T1) | Trivial (GRH) |
| 19.19.158435468857090504879482314342339950574787173641.1 | x19 - x18 - 198x17 + 37x16 + 12055x15 - 1727x14 - 335304x13 + 70692x12 + 4834266x11 - 1201976x10 - 37345852x9 + 7325624x8 + 153105664x7 - 3418584x6 - 328284116x5 - 65770266x4 + 325674937x3 + 129492371x2 - 92941225x - 41768519 | \( 419^{18} \) | $C_{19}$ (as 19T1) | Trivial (GRH) |
| 19.19.755947441066272696677489606263668936388276269649.1 | x19 - x18 - 216x17 + 329x16 + 17417x15 - 31517x14 - 670894x13 + 1275207x12 + 13251603x11 - 24036830x10 - 137385192x9 + 209490406x8 + 773799359x7 - 862308300x6 - 2305645775x5 + 1693728828x4 + 3278226422x3 - 1551959900x2 - 1701753321x + 554402371 | \( 457^{18} \) | $C_{19}$ (as 19T1) | Trivial (GRH) |
| 19.19.41634173570364661205169708858211372543325791407961.1 | x19 - x18 - 270x17 + 351x16 + 28987x15 - 41181x14 - 1648168x13 + 2453428x12 + 55186847x11 - 85340779x10 - 1133336624x9 + 1826548777x8 + 14258200659x7 - 24108274876x6 - 104945874488x5 + 187074906809x4 + 398834944226x3 - 749021546949x2 - 549551190705x + 1072348621073 | \( 571^{18} \) | $C_{19}$ (as 19T1) | Trivial (GRH) |
| 19.19.394709020826813768130190448054073575320458976755889.1 | x19 - x18 - 306x17 - 79x16 + 29370x15 + 130x14 - 1361758x13 + 704483x12 + 34401066x11 - 34840236x10 - 488507308x9 + 678792838x8 + 3902105097x7 - 6509889712x6 - 16762277726x5 + 31790175776x4 + 33454527221x3 - 71781895812x2 - 18736713884x + 50781641759 | \( 647^{18} \) | $C_{19}$ (as 19T1) | Trivial (GRH) |
| 19.19.7326960021331421245780688833073465007173042939202481.1 | x19 - x18 - 360x17 - 173x16 + 45376x15 + 58762x14 - 2558302x13 - 4227138x12 + 70534890x11 + 120121397x10 - 973700212x9 - 1501612590x8 + 6678374954x7 + 8595059019x6 - 21259099080x5 - 21796436285x4 + 27241052007x3 + 18814754704x2 - 12659238391x - 3483379661 | \( 761^{18} \) | $C_{19}$ (as 19T1) | Trivial (GRH) |