Further refine search
Results (displaying all 6 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 20.4.25567174371986127192064.1 | x20 - 2x19 + 2x18 - 2x17 - 11x16 + 24x15 - 42x14 + 130x13 - 131x12 - 38x11 + 36x10 + 68x9 + 23x8 - 88x7 + 32x6 + 8x5 - 10x4 - 6x3 + 4x2 + 2x - 1 | \( 2^{30}\cdot 47^{8} \) | $C_2^4:D_5$ (as 20T39) | Trivial |
| 20.4.1628983180755540077707264.1 | x20 - 4x19 + 2x18 + 8x17 - 20x16 + 34x15 - 56x14 + 98x13 + 3x12 - 330x11 + 548x10 - 616x9 + 521x8 - 136x7 - 48x6 + 24x5 - 105x4 + 70x3 + 12x2 - 8x + 1 | \( 2^{30}\cdot 79^{8} \) | $C_2^4:D_5$ (as 20T39) | Trivial |
| 20.4.4386569541288696038281761.1 | x20 - 3x19 + 11x18 - 15x17 + 32x16 - 28x15 + 61x14 - 54x13 + 88x12 - 104x11 + 77x10 - 71x9 + 75x8 - 5x7 - 92x6 + 108x5 - 77x4 + 38x3 - 15x2 + 6x - 1 | \( 3^{8}\cdot 401^{8} \) | $C_2^4:D_5$ (as 20T39) | Trivial |
| 20.4.77541908691589954587750390625.1 | x20 - 10x19 + 49x18 - 156x17 + 349x16 - 548x15 + 531x14 - 43x13 - 1118x12 + 3107x11 - 6043x10 + 9584x9 - 11806x8 + 10409x7 - 5662x6 + 778x5 + 1194x4 - 763x3 + 257x2 - 110x + 43 | \( 5^{8}\cdot 19^{8}\cdot 43^{8} \) | $C_2^4:D_5$ (as 20T39) | Trivial |
| 20.20.291727739125097042497356615909376.1 | x20 - 39x18 + 595x16 - 4586x14 + 19091x12 - 42615x10 + 48673x8 - 26008x6 + 5760x4 - 520x2 + 16 | \( 2^{24}\cdot 1429^{8} \) | $C_2^4:D_5$ (as 20T39) | Trivial (GRH) |
| 20.20.4710043180366167794726231882072064.1 | x20 - 48x18 + 904x16 - 8514x14 + 42524x12 - 111066x10 + 143033x8 - 78876x6 + 12226x4 - 564x2 + 1 | \( 2^{30}\cdot 3^{8}\cdot 401^{8} \) | $C_2^4:D_5$ (as 20T39) | Trivial (GRH) |