Further refine search
Results (displaying all 8 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 16.0.180143985094819840000.1 | x16 - 12x12 + 114x8 + 300x4 + 625 | \( 2^{58}\cdot 5^{4} \) | $SD_{16}:C_2$ (as 16T50) | Trivial |
| 16.0.2123366400000000000000.1 | x16 - 30x12 + 415x8 - 1350x4 + 2025 | \( 2^{32}\cdot 3^{4}\cdot 5^{14} \) | $SD_{16}:C_2$ (as 16T50) | $[4]$ |
| 16.8.983761265267629401636864.1 | x16 - 4x15 - 4x14 + 48x13 - 145x12 + 280x11 - 41x10 - 1014x9 + 844x8 + 2946x7 - 6833x6 + 5144x5 + 3215x4 - 9798x3 + 4391x2 + 3322x - 2351 | \( 2^{16}\cdot 3^{14}\cdot 11^{12} \) | $SD_{16}:C_2$ (as 16T50) | Trivial (GRH) |
| 16.8.1378596953991976568487936.3 | x16 - 36x12 + 336x8 - 504x4 + 36 | \( 2^{58}\cdot 3^{14} \) | $SD_{16}:C_2$ (as 16T50) | Trivial (GRH) |
| 16.0.134588851614250885095358464.1 | x16 + 40x14 + 608x12 + 4520x10 + 17782x8 + 36792x6 + 36288x4 + 12312x2 + 81 | \( 2^{58}\cdot 3^{4}\cdot 7^{8} \) | $SD_{16}:C_2$ (as 16T50) | $[2, 6, 6]$ (GRH) |
| 16.16.134588851614250885095358464.1 | x16 - 40x14 + 608x12 - 4520x10 + 17782x8 - 36792x6 + 36288x4 - 12312x2 + 81 | \( 2^{58}\cdot 3^{4}\cdot 7^{8} \) | $SD_{16}:C_2$ (as 16T50) | Trivial (GRH) |
| 16.0.57541523968884736000000000000.1 | x16 + 50x14 + 920x12 + 8300x10 + 39975x8 + 103500x6 + 137000x4 + 81250x2 + 15625 | \( 2^{40}\cdot 5^{12}\cdot 11^{8} \) | $SD_{16}:C_2$ (as 16T50) | $[2, 2, 10, 20]$ (GRH) |
| 16.16.57541523968884736000000000000.1 | x16 - 50x14 + 920x12 - 8300x10 + 39975x8 - 103500x6 + 137000x4 - 81250x2 + 15625 | \( 2^{40}\cdot 5^{12}\cdot 11^{8} \) | $SD_{16}:C_2$ (as 16T50) | $[2]$ (GRH) |