Further refine search
Results (displaying all 8 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 16.0.11017296355467800346624.1 | x16 - 10x14 - 32x13 + 32x12 + 420x11 + 1436x10 + 2964x9 + 4402x8 + 4824x7 + 4072x6 + 2312x5 + 816x4 + 104x3 + 832x2 + 1352x + 676 | \( 2^{32}\cdot 3^{12}\cdot 13^{6} \) | $SD_{16}:C_2$ (as 16T32) | $[2]$ |
| 16.4.28147497671065600000000.1 | x16 - 6x12 - 3x8 + 6x4 + 1 | \( 2^{56}\cdot 5^{8} \) | $SD_{16}:C_2$ (as 16T32) | Trivial (GRH) |
| 16.0.61485079079226837602304.1 | x16 - 5x15 + x14 + 67x13 - 239x12 + 250x11 + 697x10 - 3239x9 + 6556x8 - 8508x7 + 7935x6 - 5790x5 + 3645x4 - 1992x3 + 876x2 - 255x + 93 | \( 2^{12}\cdot 3^{14}\cdot 11^{12} \) | $SD_{16}:C_2$ (as 16T32) | $[2]$ |
| 16.4.68719476736000000000000.3 | x16 - 100x12 - 700x10 - 2225x8 - 3500x6 - 1250x4 + 2500x2 + 625 | \( 2^{48}\cdot 5^{12} \) | $SD_{16}:C_2$ (as 16T32) | Trivial (GRH) |
| 16.0.222483611852129014137225216.1 | x16 + 24x14 + 216x12 + 936x10 + 2150x8 + 2664x6 + 1704x4 + 504x2 + 49 | \( 2^{58}\cdot 3^{8}\cdot 7^{6} \) | $SD_{16}:C_2$ (as 16T32) | $[2, 6, 6]$ (GRH) |
| 16.16.222483611852129014137225216.1 | x16 - 24x14 + 216x12 - 936x10 + 2150x8 - 2664x6 + 1704x4 - 504x2 + 49 | \( 2^{58}\cdot 3^{8}\cdot 7^{6} \) | $SD_{16}:C_2$ (as 16T32) | Trivial (GRH) |
| 16.0.7608796557869056000000000000.1 | x16 - 4x15 + 44x14 - 224x13 + 1224x12 - 4236x11 + 16008x10 - 42732x9 + 116061x8 - 243740x7 + 504548x6 - 792892x5 + 1171864x4 - 1295280x3 + 1278140x2 - 673492x + 153991 | \( 2^{44}\cdot 5^{12}\cdot 11^{6} \) | $SD_{16}:C_2$ (as 16T32) | $[2, 20, 20]$ (GRH) |
| 16.16.7608796557869056000000000000.1 | x16 - 4x15 - 56x14 + 296x13 + 564x12 - 5196x11 + 2648x10 + 31228x9 - 51539x8 - 39900x7 + 149508x6 - 94692x5 - 15156x4 + 24840x3 - 2440x2 - 612x + 71 | \( 2^{44}\cdot 5^{12}\cdot 11^{6} \) | $SD_{16}:C_2$ (as 16T32) | Trivial (GRH) |