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Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 21.7.1090199518881106278058570421221868699648.1 | x21 - 37x19 - 7x18 + 631x17 - 160x16 - 7660x15 + 5137x14 + 56640x13 - 76851x12 - 243751x11 + 479095x10 + 411482x9 - 1347008x8 + 92559x7 + 992616x6 - 416686x5 + 955747x4 + 870892x3 - 1275931x2 - 1256035x - 284261 | \( -\,2^{18}\cdot 7^{12}\cdot 23^{7}\cdot 211^{6} \) | 21T32 | $[7]$ (GRH) |
| 21.7.12714375279672778294362958922197224914944.1 | x21 - 3x20 + x19 - 42x18 - 157x17 + 310x16 + 5798x15 - 3709x14 - 92464x13 + 474108x12 - 2368117x11 + 9006061x10 - 20442035x9 + 24167098x8 + 18849199x7 - 129416738x6 + 120608306x5 + 151200437x4 - 174966569x3 - 172336121x2 + 129418146x + 31235087 | \( -\,2^{18}\cdot 29^{6}\cdot 31^{7}\cdot 379^{6} \) | 21T32 | $[7]$ (GRH) |
| 21.21.968684802489943031204050398865611194973820125134848.1 | x21 - 10x20 - 121x19 + 1307x18 + 4542x17 - 64072x16 - 25868x15 + 1426632x14 - 1772761x13 - 13279613x12 + 31799230x11 + 27913196x10 - 124437061x9 + 24979735x8 + 151364107x7 - 76035219x6 - 60674037x5 + 33872275x4 + 9603255x3 - 3925720x2 - 693778x + 60829 | \( 2^{14}\cdot 37^{7}\cdot 43^{6}\cdot 21491^{6} \) | 21T32 | Trivial (GRH) |
| 21.21.56116791749727503481111180028182687505998489030049792.1 | x21 - 3x20 - 285x19 - 618x18 + 24694x17 + 144097x16 - 351266x15 - 4201784x14 - 2744189x13 + 45289276x12 + 85971182x11 - 190160382x10 - 597460436x9 + 132300858x8 + 1596746879x7 + 855294942x6 - 1382558992x5 - 1254203047x4 + 204792471x3 + 311940065x2 - 12091877x - 3739559 | \( 2^{14}\cdot 37^{7}\cdot 281^{6}\cdot 6469^{6} \) | 21T32 | Trivial (GRH) |