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Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 21.1.4892247057817410373428509316744956153541136384.1 | x21 - 8x20 - 72x19 + 777x18 + 1280x17 - 30864x16 + 32924x15 + 619022x14 - 1803833x13 - 5764356x12 + 32365684x11 + 462163x10 - 268486192x9 + 462676076x8 + 689921764x7 - 3314886142x6 + 3471565121x5 + 3447877372x4 - 15784422872x3 + 25330176301x2 - 22752266766x + 9170719416 | \( 2^{12}\cdot 7^{2}\cdot 11^{10}\cdot 13^{16}\cdot 1188409^{2} \) | 21T134 | Trivial (GRH) |
| 21.1.1902948940800820607084462980900099005385574191104.1 | x21 - 6x20 - 168x19 + 611x18 + 13832x17 - 13344x16 - 666664x15 - 989086x14 + 17972163x13 + 71204814x12 - 189813196x11 - 1803958691x10 - 2330392804x9 + 16240781900x8 + 74385298756x7 + 79477395250x6 - 324329443355x5 - 1518887507682x4 - 3105664311860x3 - 3688449195213x2 - 2484245295486x - 741506873256 | \( 2^{12}\cdot 3^{4}\cdot 7^{2}\cdot 11^{10}\cdot 13^{12}\cdot 440118379^{2} \) | 21T134 | Trivial (GRH) |
| 21.13.17506169099840522133726465527996746208402356008227614249.1 | x21 - 4x20 - 241x19 + 372x18 + 23007x17 + 15672x16 - 1077907x15 - 2967733x14 + 23479824x13 + 127554499x12 - 92652808x11 - 2223887778x10 - 4880010884x9 + 10799855153x8 + 70086425352x7 + 99635117252x6 - 134450275449x5 - 739782266037x4 - 1366706473054x3 - 1469609407945x2 - 908380706592x - 234723929868 | \( 7^{14}\cdot 31^{2}\cdot 79^{2}\cdot 151^{2}\cdot 173^{10}\cdot 88657^{2} \) | 21T134 | $[3]$ (GRH) |
| 21.17.673490452509783500077001584367520548569368129410325212007271089.1 | x21 - 2x20 - 428x19 - 260x18 + 60792x17 + 119542x16 - 3787421x15 - 11196620x14 + 115772376x13 + 456080942x12 - 1718615710x11 - 9374121523x10 + 9670206925x9 + 102252308673x8 + 33867547395x7 - 577620233371x6 - 647428833299x5 + 1458253090825x4 + 2486759937972x3 - 984522959681x2 - 2347418153468x + 261660725120 | \( 3^{6}\cdot 7^{12}\cdot 173^{10}\cdot 859^{2}\cdot 61374792667^{2} \) | 21T134 | $[3]$ (GRH) |