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Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 21.1.42127190673004818515087070385007473173.1 | x21 - 12x18 + 134x15 + 2141x12 - 33744x9 - 2154274x6 + 120436778x3 - 648178003 | \( 3^{7}\cdot 11^{4}\cdot 71^{9}\cdot 307^{2}\cdot 17449^{2} \) | 21T93 | $[3]$ (GRH) |
| 21.1.4099043553497682482205491992112483817453.1 | x21 - 178x18 + 13541x15 - 570499x12 + 14371045x9 - 216346630x6 + 1801246220x3 - 6393730193 | \( 3^{7}\cdot 71^{9}\cdot 599^{2}\cdot 10674007^{2} \) | 21T93 | $[3]$ (GRH) |
| 21.21.5623413476177516540600848737861049484025375633579453125.1 | x21 - 4x20 - 247x19 + 206x18 + 26120x17 + 48172x16 - 1398320x15 - 5954845x14 + 34627675x13 + 269723300x12 - 82115375x11 - 5460723125x10 - 13620643750x9 + 33712984375x8 + 234872046875x7 + 344565771875x6 - 681535453125x5 - 3676016390625x4 - 6956927187500x3 - 7150418593750x2 - 3980805859375x - 946783203125 | \( 5^{7}\cdot 577^{9}\cdot 3186499350421^{2} \) | 21T93 | Trivial (GRH) |
| 21.7.25213622439646812436083270023728685814425978264040574030371.1 | x21 - 584x19 - 2330x18 + 135114x17 + 1001524x16 - 14579165x15 - 169654426x14 + 573973047x13 + 14152938583x12 + 23315747107x11 - 561865862184x10 - 3053312377890x9 + 5381524031001x8 + 96478913382245x7 + 268015246716056x6 - 486289322755235x5 - 5316057172009941x4 - 16677714442871648x3 - 28541651645161072x2 - 27559645613628661x - 12235548256736671 | \( -\,3^{7}\cdot 7^{2}\cdot 421^{2}\cdot 577^{9}\cdot 811^{2}\cdot 2857^{2}\cdot 186763^{2} \) | 21T93 | $[3]$ (GRH) |