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Results (displaying all 6 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 21.1.227911598834310569903130581367217291392841.1 | x21 - 3x20 + 43x19 - 22x18 + 643x17 - 168x16 + 9322x15 - 4975x14 + 22402x13 - 76493x12 + 369038x11 - 673269x10 - 1084871x9 - 7262324x8 + 1057380x7 - 59828972x6 + 80384535x5 + 506225172x4 + 410279552x3 - 1834135886x2 - 1809587593x - 800223271 | \( 11^{2}\cdot 13^{2}\cdot 71^{10}\cdot 1850356597^{2} \) | 21T124 | $[3]$ (GRH) |
| 21.1.45368860523527219788129568491582052298034241.1 | x21 - 7x20 - 87x19 + 493x18 + 4100x17 - 13417x16 - 124892x15 + 111289x14 + 2352592x13 + 2474157x12 - 23486832x11 - 70446394x10 + 52274394x9 + 601006638x8 + 1002481186x7 - 653640791x6 - 5435383239x5 - 10558762823x4 - 11409675665x3 - 7446639098x2 - 2768423389x - 454136989 | \( 7^{2}\cdot 13^{2}\cdot 71^{10}\cdot 1621^{2}\cdot 25308289^{2} \) | 21T124 | $[3]$ (GRH) |
| 21.9.1123867680627116189703049190875255649932194273960649.1 | x21 - 4x20 - 118x19 + 291x18 + 6254x17 - 5793x16 - 184349x15 - 86077x14 + 3074544x13 + 5414884x12 - 25253619x11 - 86077434x10 + 27446591x9 + 505665846x8 + 860543159x7 + 166010847x6 - 2164621649x5 - 6780985888x4 - 13378205010x3 - 18177795513x2 - 18348067445x - 11878444475 | \( 7^{4}\cdot 577^{10}\cdot 10697503699^{2} \) | 21T124 | $[3]$ (GRH) |
| 21.13.60632748989979361654722270464974453409458499443094025.1 | x21 - 249x19 - 843x18 + 19044x17 + 111540x16 - 551311x15 - 5647464x14 - 45546x13 + 132475694x12 + 358072866x11 - 1167748197x10 - 7756542147x9 - 6814752012x8 + 53685647295x7 + 182177160840x6 + 109117846314x5 - 635372288682x4 - 1892653223649x3 - 2478821134482x2 - 1674921908142x - 476552642419 | \( 3^{28}\cdot 5^{2}\cdot 7^{2}\cdot 109^{2}\cdot 211^{2}\cdot 577^{10} \) | 21T124 | $[3]$ (GRH) |
| 21.13.159325922263652982846672112441363388812564826055662569.1 | x21 - 9x20 - 146x19 + 1663x18 + 6444x17 - 120513x16 + 24728x15 + 4333895x14 - 10770034x13 - 77346272x12 + 363714772x11 + 449146293x10 - 5339902544x9 + 5605479903x8 + 31832784319x7 - 92799106525x6 + 13704420748x5 + 315429108004x4 - 611832567789x3 + 533344311045x2 - 233651622785x + 41803539011 | \( 577^{10}\cdot 661^{2}\cdot 40087^{2}\cdot 235537^{2} \) | 21T124 | $[3]$ (GRH) |
| 21.17.37373365665650364296394117314252987034643780676609200225.1 | x21 - 3x20 - 255x19 + 1264x18 + 23632x17 - 170192x16 - 891461x15 + 10498950x14 + 1455756x13 - 311526760x12 + 880940057x11 + 3367398701x10 - 23342024476x9 + 25822234850x8 + 153628422529x7 - 625416315254x6 + 853395396753x5 + 152246757803x4 - 2042579501229x3 + 2776667828676x2 - 1655406927382x + 379836181015 | \( 5^{2}\cdot 211^{2}\cdot 577^{10}\cdot 179749^{2}\cdot 504061^{2} \) | 21T124 | $[3]$ (GRH) |