| 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 |
| 16.0.854071705600000000.3 |
$x^{16} - 2 x^{15} + 6 x^{14} - 10 x^{13} + 24 x^{12} - 46 x^{11} + 88 x^{10} - 142 x^{9} + 202 x^{8} - 246 x^{7} + 238 x^{6} - 178 x^{5} + 104 x^{4} - 50 x^{3} + 20 x^{2} - 6 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 5^{8}\cdot 19^{4}$ |
$3$ |
$13.2043916082$ |
$56.330032144749296$ |
|
|
? |
$A_4^2:D_4$ (as 16T1286) |
trivial |
trivial |
$2$ |
$7$ |
$221.821718407$ |
| 16.12.127...000.1 |
$x^{16} - 42 x^{14} - 16 x^{13} + 582 x^{12} + 484 x^{11} - 2960 x^{10} - 4472 x^{9} + 2964 x^{8} + 17264 x^{7} + 13234 x^{6} - 30948 x^{5} - 21070 x^{4} + 27348 x^{3} - 3520 x^{2} - 16828 x - 121$ |
$16$ |
[12,2] |
$2^{24}\cdot 5^{8}\cdot 97^{2}\cdot 379^{4}$ |
$4$ |
$49.4351965189$ |
|
|
|
? |
$C_2^7.A_4\wr C_2$ (as 16T1824) |
trivial |
$[2, 2, 2]$ |
$2$ |
$13$ |
$147673601.947$ |
| 16.16.356...000.1 |
$x^{16} - 212 x^{14} - 276 x^{13} + 17200 x^{12} + 41588 x^{11} - 666854 x^{10} - 2309932 x^{9} + 12167184 x^{8} + 57991764 x^{7} - 74447200 x^{6} - 637926576 x^{5} - 330461200 x^{4} + 2310224928 x^{3} + 3256361102 x^{2} + 283998872 x - 397082489$ |
$16$ |
[16,0] |
$2^{24}\cdot 3^{4}\cdot 5^{8}\cdot 7^{12}\cdot 191^{6}$ |
$5$ |
$256.756443922$ |
|
|
|
? |
$C_2^6.\POPlus(4,3)$ (as 16T1827) |
$[2]$ |
$[2, 2, 2, 2]$ |
$2$ |
$15$ |
$152684558551000$ |
| 20.12.477...000.1 |
$x^{20} - x^{19} - x^{18} + 16 x^{17} - 324 x^{16} + 428 x^{15} + 1518 x^{14} - 3988 x^{13} + 25206 x^{12} - 26004 x^{11} - 267284 x^{10} + 195890 x^{9} + 1107664 x^{8} + 522788 x^{7} - 1969346 x^{6} - 4696656 x^{5} - 1652499 x^{4} + 6284213 x^{3} + 7775165 x^{2} + 3039454 x + 302044$ |
$20$ |
[12,4] |
$2^{24}\cdot 5^{10}\cdot 13^{6}\cdot 29^{4}\cdot 31^{8}$ |
$5$ |
$85.8871674066$ |
|
|
|
|
$C_2^8.\POPlus(4,5)$ (as 20T1009) |
trivial |
$[2, 2, 2]$ |
$2$ |
$15$ |
$2524911578570$ |
