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Results (displaying all 8 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 21.1.1901751171347368714361726129.1 | x21 - x14 + 1 | \( 7^{21}\cdot 23^{7} \) | 21T29 | Trivial (GRH) |
| 21.1.15367056821818447650208822777.1 | x21 + x7 - 1 | \( 7^{21}\cdot 31^{7} \) | 21T29 | Trivial (GRH) |
| 21.7.23138606501783435147639121811543.1 | x21 - 21x19 + 189x17 - 952x15 - 3x14 + 2940x13 + 42x12 - 5733x11 - 231x10 + 7007x9 + 630x8 - 5143x7 - 882x6 + 2044x5 + 588x4 - 315x3 - 147x2 - 14x + 1 | \( -\,7^{21}\cdot 23^{10} \) | 21T29 | Trivial (GRH) |
| 21.7.457799989778793373947371039349607.1 | x21 - 21x19 + 189x17 - 952x15 - 3x14 + 2940x13 + 42x12 - 5733x11 - 231x10 + 7007x9 + 630x8 - 5141x7 - 882x6 + 2030x5 + 588x4 - 287x3 - 147x2 - 28x - 3 | \( -\,7^{21}\cdot 31^{10} \) | 21T29 | Trivial (GRH) |
| 21.3.868742059496237220358847069077504.1 | x21 - x14 - 3x7 + 1 | \( -\,2^{14}\cdot 7^{21}\cdot 37^{7} \) | 21T29 | Trivial (GRH) |
| 21.3.868742059496237220358847069077504.2 | x21 - x14 - 5x7 + 1 | \( -\,2^{14}\cdot 7^{21}\cdot 37^{7} \) | 21T29 | Trivial (GRH) |
| 21.21.13574094679628706568106985454336000000000000000000.1 | x21 - 105x19 + 4725x17 - 119000x15 - 690x14 + 1837500x13 + 48300x12 - 17915625x11 - 1328250x10 + 109484375x9 + 18112500x8 - 401820025x7 - 126787500x6 + 799247750x5 + 422625000x4 - 623336875x3 - 528281250x2 - 116462500x - 5255000 | \( 2^{26}\cdot 5^{18}\cdot 7^{21}\cdot 37^{7} \) | 21T29 | Trivial (GRH) |
| 21.21.44004391539662903922836680589982810112000000000000.1 | x21 - 91x19 + 3101x17 - 52164x15 - 2804x14 + 489510x13 + 66850x12 - 2696225x11 - 624890x10 + 8752625x9 + 2952110x8 - 16034065x7 - 7497000x6 + 14563150x5 + 9775500x4 - 3939775x3 - 4961250x2 - 1429400x - 125900 | \( 2^{26}\cdot 5^{12}\cdot 7^{21}\cdot 37^{10} \) | 21T29 | Trivial (GRH) |