| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Narrow class group |
Unit group torsion |
Unit group rank |
Regulator |
| 16.8.215...801.1 |
$x^{16} - 2 x^{15} - 75 x^{14} - 28 x^{13} + 2087 x^{12} + 12539 x^{11} - 23154 x^{10} - 528593 x^{9} - 51363 x^{8} + 8895081 x^{7} + 3374410 x^{6} - 64805612 x^{5} - 20086013 x^{4} + 187459777 x^{3} - 9786670 x^{2} - 246301289 x + 10314571$ |
$16$ |
[8,4] |
$7^{12}\cdot 41^{15}$ |
$2$ |
$139.89699815$ |
$139.8969981496878$ |
|
|
? |
$C_{16} : C_2$ (as 16T22) |
trivial |
$[2]$ |
$2$ |
$11$ |
$105232700409$ |
| 16.8.123...257.1 |
$x^{16} - 4 x^{15} - 29 x^{14} + 630 x^{13} - 4609 x^{12} - 33136 x^{11} + 168901 x^{10} + 1035038 x^{9} - 2476072 x^{8} - 17969440 x^{7} + 16115584 x^{6} + 185656320 x^{5} + 24797184 x^{4} - 1016004608 x^{3} - 749731840 x^{2} + 2181038080 x + 2147483648$ |
$16$ |
[8,4] |
$7^{12}\cdot 73^{15}$ |
$2$ |
$240.264004585$ |
$240.26400458491216$ |
|
|
|
$C_{16} : C_2$ (as 16T22) |
trivial |
$[2]$ |
$2$ |
$11$ |
$514588263316000000$ |
| 16.8.241...649.1 |
$x^{16} - 3 x^{15} - 260 x^{14} - 440 x^{13} + 9958 x^{12} + 134350 x^{11} + 903564 x^{10} - 1823804 x^{9} - 25340911 x^{8} - 85828035 x^{7} + 138216368 x^{6} + 575302060 x^{5} + 324609488 x^{4} - 971480768 x^{3} - 1401515264 x^{2} - 937304064 x - 102055936$ |
$16$ |
[8,4] |
$7^{12}\cdot 89^{15}$ |
$2$ |
$289.318804079$ |
$289.3188040792394$ |
|
|
|
$C_{16} : C_2$ (as 16T22) |
trivial |
$[2]$ |
$2$ |
$11$ |
$2494293233420000000$ |
