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Results (displaying all 6 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 20.10.106562954951958175076204651.1 | x20 - 5x19 + 16x18 - 38x17 + 36x16 + 53x15 - 225x14 + 425x13 - 559x12 + 338x11 + 384x10 - 897x9 + 449x8 + 347x7 - 442x6 + 31x5 + 132x4 - 33x3 - 17x2 + 4x + 1 | \( -\,251^{4}\cdot 1931^{5} \) | 20T462 | Trivial (GRH) |
| 20.0.566347765424228061530816512.1 | x20 - 4x19 + 11x18 - 20x17 + 38x16 - 54x15 + 108x14 - 108x13 + 250x12 - 210x11 + 448x10 - 338x9 + 722x8 - 432x7 + 963x6 - 582x5 + 766x4 - 474x3 + 463x2 - 78x + 229 | \( 2^{25}\cdot 71^{5}\cdot 311^{4} \) | 20T462 | Trivial (GRH) |
| 20.10.806877848402725521973046875.1 | x20 - 2x19 - 11x18 + 29x17 + 11x16 - 122x15 + 184x14 + 47x13 - 342x12 + 569x11 - 536x10 - 1288x9 + 403x8 + 3536x7 + 167x6 - 3112x5 - 1429x4 + 1221x3 + 772x2 - 92x - 1 | \( -\,5^{8}\cdot 151^{4}\cdot 331^{5} \) | 20T462 | Trivial (GRH) |
| 20.0.3722730370794224360276855777.1 | x20 - 4x19 - 3x18 + 20x17 + 38x16 - 129x15 - 85x14 + 291x13 + 353x12 - 755x11 - 401x10 + 1026x9 - 2x8 - 464x7 + 115x6 - 69x5 + 42x4 + 78x3 - 28x2 - 24x + 11 | \( 257^{5}\cdot 7591^{4} \) | 20T462 | Trivial (GRH) |
| 20.20.102248067138782963919359409682000081957.1 | x20 - 8x19 - 22x18 + 362x17 - 679x16 - 3322x15 + 14494x14 - 8457x13 - 46160x12 + 79160x11 + 25931x10 - 152182x9 + 70464x8 + 101495x7 - 99406x6 - 6737x5 + 36035x4 - 9912x3 - 1784x2 + 712x + 16 | \( 19^{5}\cdot 103^{5}\cdot 244301^{4} \) | 20T462 | Trivial (GRH) |
| 20.20.880521832126194804801243035642266919557.1 | x20 - 3x19 - 51x18 + 194x17 + 849x16 - 4418x15 - 3399x14 + 42132x13 - 35361x12 - 141025x11 + 274398x10 - 8557x9 - 306339x8 + 148442x7 + 113851x6 - 79568x5 - 14553x4 + 12406x3 + 1453x2 - 659x - 97 | \( 19^{5}\cdot 103^{5}\cdot 431^{4}\cdot 971^{4} \) | 20T462 | Trivial (GRH) |