Further refine search
Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 20.4.127338577759142414150270976.1 | x20 - 2x18 + 9x16 + 12x14 - 6x12 + 30x8 - 60x6 + 45x4 - 14x2 + 1 | \( 2^{36}\cdot 3^{32} \) | $A_6$ (as 20T89) | Trivial |
| 20.4.241577701592627342528741376.1 | x20 - 2x18 - 3x16 - 24x15 - 36x14 - 48x13 - 30x12 + 72x11 + 156x10 + 72x9 - 30x8 - 48x7 - 36x6 - 24x5 - 3x4 - 2x2 + 1 | \( 2^{20}\cdot 3^{24}\cdot 13^{8} \) | $A_6$ (as 20T89) | Trivial |
| 20.20.924535933252138642544025981504329875456.1 | x20 - 10x19 - 21x18 + 474x17 - 319x16 - 9484x15 + 15084x14 + 104446x13 - 210818x12 - 689278x11 + 1526976x10 + 2757056x9 - 6237455x8 - 6302156x7 + 14029271x6 + 6647840x5 - 15500919x4 - 535552x3 + 6241202x2 - 1836338x + 130054 | \( 2^{20}\cdot 13127^{8} \) | $A_6$ (as 20T89) | Trivial (GRH) |
| 20.20.4510514237834618843771703646681663799296.1 | x20 - 70x18 + 1899x16 - 25784x14 + 191379x12 - 811774x10 + 1994469x8 - 2767108x6 + 1987084x4 - 583424x2 + 15376 | \( 2^{24}\cdot 7^{12}\cdot 13^{8}\cdot 47^{8} \) | $A_6$ (as 20T89) | Trivial (GRH) |