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Results (displaying all 6 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 20.0.218830721135617121255424.1 | x20 - 5x19 + 11x18 - 15x17 + 22x16 - 47x15 + 85x14 - 115x13 + 174x12 - 321x11 + 497x10 - 625x9 + 748x8 - 825x7 + 715x6 - 469x5 + 254x4 - 119x3 + 43x2 - 9x + 1 | \( 2^{16}\cdot 3^{15}\cdot 7^{5}\cdot 61^{4} \) | 20T299 | Trivial |
| 20.0.5108307368122015428902912.1 | x20 - 8x19 + 34x18 - 104x17 + 257x16 - 536x15 + 965x14 - 1526x13 + 2153x12 - 2768x11 + 3257x10 - 3370x9 + 2900x8 - 1990x7 + 1054x6 - 416x5 + 105x4 + 10x3 - 16x2 - 2x + 5 | \( 2^{20}\cdot 17^{5}\cdot 1361^{4} \) | 20T299 | Trivial (GRH) |
| 20.10.160910726907504640000000000.1 | x20 - 2x19 - 6x18 + 22x17 - 10x16 - 88x15 + 147x14 + 84x13 - 469x12 + 240x11 + 623x10 - 708x9 - 183x8 + 732x7 - 276x6 - 262x5 + 222x4 - 10x3 - 35x2 + 6x + 1 | \( -\,2^{20}\cdot 5^{10}\cdot 11^{4}\cdot 181^{4} \) | 20T299 | Trivial (GRH) |
| 20.10.76633477601046538240000000000.1 | x20 - 2x19 - 13x18 + 20x17 + 75x16 - 94x15 - 239x14 + 342x13 + 336x12 - 630x11 - 339x10 + 652x9 + 504x8 - 878x7 - 205x6 + 654x5 - 200x4 - 28x3 + 24x2 - 10x + 1 | \( -\,2^{20}\cdot 5^{10}\cdot 71^{4}\cdot 131^{4} \) | 20T299 | Trivial (GRH) |
| 20.20.405914089364717749725605850283203125.1 | x20 - 8x19 - 13x18 + 254x17 - 320x16 - 2579x15 + 6719x14 + 7619x13 - 39332x12 + 13604x11 + 77412x10 - 67087x9 - 57464x8 + 71947x7 + 14376x6 - 25774x5 - 3291x4 + 3036x3 + 850x2 + 68x + 1 | \( 5^{10}\cdot 29^{5}\cdot 331^{4}\cdot 641^{4} \) | 20T299 | Trivial (GRH) |
| 20.20.413264041171139760315418243408203125.1 | x20 - 5x19 - 55x18 + 265x17 + 1145x16 - 5278x15 - 11255x14 + 49775x13 + 56205x12 - 233775x11 - 163635x10 + 558275x9 + 306525x8 - 639230x7 - 338365x6 + 285219x5 + 142945x4 - 35290x3 - 13110x2 + 475x + 139 | \( 5^{26}\cdot 11^{4}\cdot 29^{5}\cdot 31^{4} \) | 20T299 | Trivial (GRH) |