Further refine search
Results (displaying all 3 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 15.5.69696371772723539550743.1 | x15 - 5x14 + 21x13 - 43x12 - 108x11 + 528x10 - 737x9 + 60x8 + 1108x7 - 920x6 - 290x5 + 1067x4 - 91x3 - 30x2 + 16x - 8 | \( -\,23^{5}\cdot 101^{8} \) | $(C_5^2 : C_3):C_2$ (as 15T13) | Trivial (GRH) |
| 15.5.383635938167572021484375.1 | x15 - 30x13 - 45x12 + 230x11 + 871x10 + 750x9 - 2445x8 - 8010x7 - 9505x6 - 3026x5 + 8475x4 + 9910x3 + 4635x2 - 2935x - 2521 | \( -\,5^{24}\cdot 23^{5} \) | $(C_5^2 : C_3):C_2$ (as 15T13) | Trivial (GRH) |
| 15.15.2034742233090714111568770651869016171882843590116942007586912219502812217523196928.1 | x15 - 3x14 - 892509x13 - 89072821x12 + 291116427176x11 + 53550385971468x10 - 40168727583503152x9 - 10310407818341917488x8 + 1941351085012979462976x7 + 696538506670849818021440x6 + 5760971201312575426356160x5 - 8381661447592221588178895680x4 - 75264948123079550954015902464x3 + 16384877146005349721822978906880x2 - 103562164349148797000704434199808x - 51309930300889700898010228382464 | \( 2^{10}\cdot 37^{5}\cdot 701^{12}\cdot 1061^{12} \) | $(C_5^2 : C_3):C_2$ (as 15T13) | n/a |