| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Unit group torsion |
Unit group rank |
Regulator |
| 16.16.534...000.1 |
$x^{16} - 4 x^{15} - 20 x^{14} + 100 x^{13} + 44 x^{12} - 624 x^{11} + 362 x^{10} + 1370 x^{9} - 1453 x^{8} - 936 x^{7} + 1580 x^{6} - 82 x^{5} - 459 x^{4} + 86 x^{3} + 41 x^{2} - 6 x - 1$ |
$16$ |
[16,0] |
$2^{24}\cdot 5^{8}\cdot 13^{8}$ |
$3$ |
$22.803508502$ |
$22.80350850198276$ |
|
✓ |
? |
$Q_8 : C_2$ (as 16T11) |
trivial |
$2$ |
$15$ |
$316695.993468$ |
| 16.16.628...000.1 |
$x^{16} - 15 x^{14} + 88 x^{12} - 261 x^{10} + 418 x^{8} - 354 x^{6} + 142 x^{4} - 21 x^{2} + 1$ |
$16$ |
[16,0] |
$2^{16}\cdot 5^{8}\cdot 19^{2}\cdot 29^{4}\cdot 31^{2}$ |
$5$ |
$23.0345063386$ |
|
|
|
✓ |
$C_2^2\wr D_4$ (as 16T1340) |
trivial |
$2$ |
$15$ |
$333939.779586$ |
| 16.16.640...625.1 |
$x^{16} - x^{15} - 20 x^{14} + 8 x^{13} + 147 x^{12} + 4 x^{11} - 483 x^{10} - 127 x^{9} + 748 x^{8} + 266 x^{7} - 559 x^{6} - 205 x^{5} + 188 x^{4} + 60 x^{3} - 23 x^{2} - 4 x + 1$ |
$16$ |
[16,0] |
$5^{8}\cdot 29^{8}\cdot 181^{2}$ |
$3$ |
$23.0618330033$ |
$162.00308639035245$ |
|
|
? |
$C_4^2:D_4$ (as 16T406) |
trivial |
$2$ |
$15$ |
$334223.730925$ |
| 16.16.671...000.1 |
$x^{16} - 4 x^{15} - 16 x^{14} + 76 x^{13} + 46 x^{12} - 392 x^{11} - 24 x^{10} + 928 x^{9} - 23 x^{8} - 1128 x^{7} - 44 x^{6} + 672 x^{5} + 96 x^{4} - 156 x^{3} - 36 x^{2} + 4 x + 1$ |
$16$ |
[16,0] |
$2^{40}\cdot 5^{14}$ |
$2$ |
$23.1298993509$ |
$23.129899350864836$ |
|
✓ |
? |
$C_8: C_2$ (as 16T6) |
trivial |
$2$ |
$15$ |
$422624.858867$ |
| 16.16.687...000.1 |
$x^{16} - 16 x^{14} + 105 x^{12} - 364 x^{10} + 714 x^{8} - 784 x^{6} + 440 x^{4} - 96 x^{2} + 1$ |
$16$ |
[16,0] |
$2^{32}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$23.1658437058$ |
$23.165843705765383$ |
|
✓ |
✓ |
$C_4\times C_2^2$ (as 16T2) |
trivial |
$2$ |
$15$ |
$361725.540601$ |
| 16.16.957...944.1 |
$x^{16} - 24 x^{14} - 8 x^{13} + 200 x^{12} + 96 x^{11} - 744 x^{10} - 360 x^{9} + 1350 x^{8} + 544 x^{7} - 1176 x^{6} - 312 x^{5} + 456 x^{4} + 32 x^{3} - 72 x^{2} + 8 x + 1$ |
$16$ |
[16,0] |
$2^{54}\cdot 3^{12}$ |
$2$ |
$23.6492393325$ |
$23.64923933252054$ |
|
✓ |
? |
$C_4:C_4$ (as 16T8) |
trivial |
$2$ |
$15$ |
$741640.969177$ |
| 16.16.117...625.1 |
$x^{16} - x^{15} - 24 x^{14} + 18 x^{13} + 216 x^{12} - 111 x^{11} - 933 x^{10} + 284 x^{9} + 2065 x^{8} - 233 x^{7} - 2289 x^{6} - 145 x^{5} + 1118 x^{4} + 225 x^{3} - 154 x^{2} - 37 x - 1$ |
$16$ |
[16,0] |
$5^{10}\cdot 7^{4}\cdot 29^{8}$ |
$3$ |
$23.9513370142$ |
$47.64041348647476$ |
|
|
? |
$C_4\wr C_2$ (as 16T42) |
trivial |
$2$ |
$15$ |
$464254.144107$ |
| 16.16.153...624.1 |
$x^{16} - 15 x^{14} + 86 x^{12} - 242 x^{10} + 360 x^{8} - 281 x^{6} + 107 x^{4} - 18 x^{2} + 1$ |
$16$ |
[16,0] |
$2^{16}\cdot 483345053^{2}$ |
$2$ |
$24.3535431835$ |
|
|
|
✓ |
$C_2^7.S_8$ (as 16T1945) |
trivial |
$2$ |
$15$ |
$541504.609733$ |
| 16.16.169...889.1 |
$x^{16} - 6 x^{15} - 3 x^{14} + 78 x^{13} - 82 x^{12} - 345 x^{11} + 620 x^{10} + 535 x^{9} - 1592 x^{8} + 56 x^{7} + 1563 x^{6} - 582 x^{5} - 517 x^{4} + 249 x^{3} + 50 x^{2} - 27 x + 1$ |
$16$ |
[16,0] |
$11^{6}\cdot 97913143^{2}$ |
$2$ |
$24.5119228414$ |
$59767.488914371716$ |
|
|
? |
$C_2^7.S_8$ (as 16T1945) |
trivial |
$2$ |
$15$ |
$595738.043186$ |
| 16.16.171...408.1 |
$x^{16} - 16 x^{14} + 94 x^{12} - 265 x^{10} + 391 x^{8} - 308 x^{6} + 128 x^{4} - 26 x^{2} + 2$ |
$16$ |
[16,0] |
$2^{31}\cdot 41^{8}$ |
$2$ |
$24.5266111059$ |
$93.94705303788399$ |
|
|
? |
$C_8\wr C_2$ (as 16T289) |
trivial |
$2$ |
$15$ |
$1023067.54236$ |
| 16.16.187...873.1 |
$x^{16} - x^{15} - 16 x^{14} + 16 x^{13} + 103 x^{12} - 103 x^{11} - 339 x^{10} + 339 x^{9} + 596 x^{8} - 596 x^{7} - 526 x^{6} + 526 x^{5} + 188 x^{4} - 188 x^{3} - 16 x^{2} + 16 x + 1$ |
$16$ |
[16,0] |
$3^{8}\cdot 17^{15}$ |
$2$ |
$24.666440964$ |
$24.666440964016477$ |
|
✓ |
✓ |
$C_{16}$ (as 16T1) |
trivial |
$2$ |
$15$ |
$608987.130491$ |
| 16.16.240...624.1 |
$x^{16} - 24 x^{14} - 16 x^{13} + 208 x^{12} + 248 x^{11} - 728 x^{10} - 1200 x^{9} + 826 x^{8} + 1968 x^{7} - 200 x^{6} - 1232 x^{5} - 4 x^{4} + 304 x^{3} - 24 x^{2} - 16 x + 2$ |
$16$ |
[16,0] |
$2^{58}\cdot 17^{4}$ |
$2$ |
$25.0522054493$ |
$57.929705299506566$ |
|
|
? |
$C_2\wr C_4$ (as 16T158) |
trivial |
$2$ |
$15$ |
$1245161.36001$ |
| 16.16.299...000.1 |
$x^{16} - 8 x^{15} + 8 x^{14} + 84 x^{13} - 222 x^{12} - 124 x^{11} + 908 x^{10} - 448 x^{9} - 1280 x^{8} + 1296 x^{7} + 442 x^{6} - 956 x^{5} + 231 x^{4} + 116 x^{3} - 48 x^{2} + 1$ |
$16$ |
[16,0] |
$2^{32}\cdot 5^{12}\cdot 13^{4}$ |
$3$ |
$25.3964686495$ |
$48.22354919123831$ |
|
|
? |
$C_4 \times D_4$ (as 16T19) |
trivial |
$2$ |
$15$ |
$811237.385028$ |
| 16.16.311...000.1 |
$x^{16} - 4 x^{15} - 16 x^{14} + 56 x^{13} + 112 x^{12} - 260 x^{11} - 406 x^{10} + 478 x^{9} + 665 x^{8} - 412 x^{7} - 508 x^{6} + 174 x^{5} + 177 x^{4} - 34 x^{3} - 25 x^{2} + 2 x + 1$ |
$16$ |
[16,0] |
$2^{24}\cdot 5^{8}\cdot 41^{6}$ |
$3$ |
$25.4579800568$ |
$102.4749908484498$ |
|
|
? |
$C_4^2:C_2^2$ (as 16T111) |
trivial |
$2$ |
$15$ |
$839457.989973$ |
| 16.16.332...625.1 |
$x^{16} - 8 x^{15} + 2 x^{14} + 126 x^{13} - 251 x^{12} - 496 x^{11} + 1829 x^{10} - 642 x^{9} - 3338 x^{8} + 4884 x^{7} - 2263 x^{6} - 320 x^{5} + 672 x^{4} - 208 x^{3} + 4 x^{2} + 8 x - 1$ |
$16$ |
[16,0] |
$5^{8}\cdot 19^{4}\cdot 29^{4}\cdot 31^{4}$ |
$4$ |
$25.5630886044$ |
$292.24133862272123$ |
|
|
? |
$C_2\wr D_4$ (as 16T388) |
trivial |
$2$ |
$15$ |
$835354.857714$ |
| 16.16.348...824.1 |
$x^{16} - 4 x^{15} - 12 x^{14} + 56 x^{13} + 50 x^{12} - 292 x^{11} - 88 x^{10} + 716 x^{9} + 72 x^{8} - 884 x^{7} - 40 x^{6} + 560 x^{5} + 22 x^{4} - 172 x^{3} - 8 x^{2} + 20 x + 1$ |
$16$ |
[16,0] |
$2^{40}\cdot 3^{8}\cdot 13^{6}$ |
$3$ |
$25.6368329564$ |
$67.08001186478025$ |
|
|
? |
$C_4^2:C_2^2$ (as 16T111) |
trivial |
$2$ |
$15$ |
$1510731.82986$ |
| 16.16.403...000.1 |
$x^{16} - 16 x^{14} + 98 x^{12} - 299 x^{10} + 488 x^{8} - 418 x^{6} + 167 x^{4} - 23 x^{2} + 1$ |
$16$ |
[16,0] |
$2^{12}\cdot 3^{12}\cdot 5^{8}\cdot 83^{4}$ |
$4$ |
$25.8742614993$ |
$207.59194868969595$ |
|
|
? |
$(C_2^2\times C_4):S_4$ (as 16T763) |
trivial |
$2$ |
$15$ |
$968374.045388$ |
| 16.16.423...000.1 |
$x^{16} - 16 x^{14} + 96 x^{12} - 280 x^{10} + 425 x^{8} - 330 x^{6} + 121 x^{4} - 19 x^{2} + 1$ |
$16$ |
[16,0] |
$2^{16}\cdot 5^{8}\cdot 11^{2}\cdot 29^{4}\cdot 139^{2}$ |
$5$ |
$25.9516773429$ |
$1727.1059712424124$ |
|
|
? |
$C_2^2\wr D_4$ (as 16T1340) |
trivial |
$2$ |
$15$ |
$967518.28734$ |
| 16.16.436...625.1 |
$x^{16} - 2 x^{15} - 23 x^{14} + 35 x^{13} + 192 x^{12} - 209 x^{11} - 721 x^{10} + 498 x^{9} + 1262 x^{8} - 473 x^{7} - 1028 x^{6} + 181 x^{5} + 384 x^{4} - 13 x^{3} - 55 x^{2} - 5 x + 1$ |
$16$ |
[16,0] |
$5^{8}\cdot 101^{4}\cdot 181^{4}$ |
$3$ |
$26.0006969451$ |
$302.33259830855155$ |
|
|
? |
$C_2\wr D_4$ (as 16T388) |
trivial |
$2$ |
$15$ |
$967339.603743$ |
| 16.16.444...000.1 |
$x^{16} - 6 x^{15} - 11 x^{14} + 102 x^{13} + 39 x^{12} - 690 x^{11} - 114 x^{10} + 2372 x^{9} + 633 x^{8} - 4202 x^{7} - 1898 x^{6} + 3364 x^{5} + 1990 x^{4} - 1060 x^{3} - 754 x^{2} + 84 x + 79$ |
$16$ |
[16,0] |
$2^{24}\cdot 5^{8}\cdot 7^{4}\cdot 41^{4}$ |
$4$ |
$26.0315764763$ |
$107.144761887831$ |
|
|
? |
$C_2\wr C_2^2$ (as 16T149) |
trivial |
$2$ |
$15$ |
$1019945.05869$ |
| 16.16.450...000.1 |
$x^{16} - 24 x^{14} + 198 x^{12} - 684 x^{10} + 1043 x^{8} - 756 x^{6} + 258 x^{4} - 36 x^{2} + 1$ |
$16$ |
[16,0] |
$2^{44}\cdot 3^{8}\cdot 5^{8}$ |
$3$ |
$26.0542224973$ |
$26.054222497305222$ |
|
✓ |
? |
$Q_8 : C_2$ (as 16T11) |
trivial |
$2$ |
$15$ |
$1201189.95367$ |
| 16.16.531...000.1 |
$x^{16} - 6 x^{15} - 3 x^{14} + 86 x^{13} - 129 x^{12} - 320 x^{11} + 950 x^{10} - 74 x^{9} - 1982 x^{8} + 1736 x^{7} + 934 x^{6} - 1920 x^{5} + 620 x^{4} + 280 x^{3} - 211 x^{2} + 38 x - 1$ |
$16$ |
[16,0] |
$2^{24}\cdot 5^{8}\cdot 7^{6}\cdot 41^{3}$ |
$4$ |
$26.3232030494$ |
$441.00287243191326$ |
|
|
? |
$C_4\wr C_2^2$ (as 16T1202) |
trivial |
$2$ |
$15$ |
$1066495.33854$ |
| 16.16.544...000.1 |
$x^{16} - 4 x^{15} - 30 x^{14} + 170 x^{13} - 30 x^{12} - 1002 x^{11} + 1038 x^{10} + 1840 x^{9} - 2280 x^{8} - 1770 x^{7} + 1908 x^{6} + 1068 x^{5} - 655 x^{4} - 350 x^{3} + 60 x^{2} + 36 x + 1$ |
$16$ |
[16,0] |
$2^{24}\cdot 3^{12}\cdot 5^{14}$ |
$3$ |
$26.3623843985$ |
$26.362384398475065$ |
|
✓ |
? |
$C_8: C_2$ (as 16T6) |
trivial |
$2$ |
$15$ |
$1123278.07398$ |
| 16.16.639...625.1 |
$x^{16} - 3 x^{15} - 23 x^{14} + 74 x^{13} + 118 x^{12} - 474 x^{11} - 161 x^{10} + 1227 x^{9} - 122 x^{8} - 1436 x^{7} + 376 x^{6} + 728 x^{5} - 187 x^{4} - 142 x^{3} + 13 x^{2} + 11 x + 1$ |
$16$ |
[16,0] |
$3^{12}\cdot 5^{12}\cdot 149^{4}$ |
$3$ |
$26.6296225887$ |
$93.03825975787367$ |
|
|
? |
$C_2\wr C_4$ (as 16T157) |
trivial |
$2$ |
$15$ |
$1263361.47743$ |
| 16.16.639...625.2 |
$x^{16} - 2 x^{15} - 28 x^{14} + 47 x^{13} + 317 x^{12} - 415 x^{11} - 1887 x^{10} + 1761 x^{9} + 6355 x^{8} - 3786 x^{7} - 12117 x^{6} + 4010 x^{5} + 12527 x^{4} - 1882 x^{3} - 6358 x^{2} + 307 x + 1231$ |
$16$ |
[16,0] |
$3^{12}\cdot 5^{12}\cdot 149^{4}$ |
$3$ |
$26.6296225887$ |
$93.03825975787367$ |
|
|
? |
$C_2\wr C_4$ (as 16T158) |
trivial |
$2$ |
$15$ |
$1367021.17451$ |
| 16.16.657...625.1 |
$x^{16} - x^{15} - 22 x^{14} + 17 x^{13} + 172 x^{12} - 92 x^{11} - 601 x^{10} + 196 x^{9} + 1014 x^{8} - 189 x^{7} - 844 x^{6} + 74 x^{5} + 325 x^{4} - 46 x^{2} - 4 x + 1$ |
$16$ |
[16,0] |
$5^{8}\cdot 17^{14}$ |
$2$ |
$26.6764360894$ |
$26.676436089372558$ |
|
✓ |
|
$C_8\times C_2$ (as 16T5) |
trivial |
$2$ |
$15$ |
$1299965.95967$ |
| 16.16.668...000.1 |
$x^{16} - 24 x^{14} - 6 x^{13} + 180 x^{12} + 78 x^{11} - 527 x^{10} - 210 x^{9} + 741 x^{8} + 210 x^{7} - 527 x^{6} - 78 x^{5} + 180 x^{4} + 6 x^{3} - 24 x^{2} + 1$ |
$16$ |
[16,0] |
$2^{24}\cdot 3^{6}\cdot 5^{8}\cdot 241^{3}$ |
$4$ |
$26.7041440262$ |
$223.8099849311731$ |
|
|
? |
$D_4^2.C_2^2$ (as 16T660) |
trivial |
$2$ |
$15$ |
$1319292.23044$ |
| 16.16.677...625.1 |
$x^{16} - 2 x^{15} - 27 x^{14} + 64 x^{13} + 219 x^{12} - 584 x^{11} - 680 x^{10} + 2121 x^{9} + 789 x^{8} - 3351 x^{7} - 148 x^{6} + 2148 x^{5} - 53 x^{4} - 471 x^{3} - 42 x^{2} + 14 x + 1$ |
$16$ |
[16,0] |
$5^{8}\cdot 19^{2}\cdot 29^{8}\cdot 31^{2}$ |
$4$ |
$26.7268891837$ |
$292.24133862272123$ |
|
|
? |
$C_2\wr D_4$ (as 16T396) |
trivial |
$2$ |
$15$ |
$1130409.38274$ |
| 16.16.687...000.1 |
$x^{16} - 16 x^{14} + 104 x^{12} - 352 x^{10} + 659 x^{8} - 664 x^{6} + 316 x^{4} - 48 x^{2} + 1$ |
$16$ |
[16,0] |
$2^{48}\cdot 5^{12}$ |
$2$ |
$26.7496121991$ |
$26.74961219905688$ |
|
✓ |
✓ |
$C_4^2$ (as 16T4) |
trivial |
$2$ |
$15$ |
$1483566.93289$ |
| 16.16.698...000.1 |
$x^{16} - 15 x^{14} + 87 x^{12} - 251 x^{10} + 384 x^{8} - 306 x^{6} + 117 x^{4} - 19 x^{2} + 1$ |
$16$ |
[16,0] |
$2^{16}\cdot 5^{8}\cdot 1652141^{2}$ |
$3$ |
$26.7775529307$ |
|
|
|
? |
$C_2^6.S_4\wr C_2$ (as 16T1868) |
trivial |
$2$ |
$15$ |
$1234159.79658$ |
| 16.16.738...000.1 |
$x^{16} - 24 x^{14} + 212 x^{12} - 872 x^{10} + 1728 x^{8} - 1568 x^{6} + 552 x^{4} - 80 x^{2} + 4$ |
$16$ |
[16,0] |
$2^{54}\cdot 3^{8}\cdot 5^{4}$ |
$3$ |
$26.8707237318$ |
$40.181103982931226$ |
|
|
? |
$C_4 \times D_4$ (as 16T19) |
trivial |
$2$ |
$15$ |
$2324856.46451$ |
| 16.16.742...000.1 |
$x^{16} - 22 x^{14} + 165 x^{12} - 517 x^{10} + 774 x^{8} - 583 x^{6} + 215 x^{4} - 33 x^{2} + 1$ |
$16$ |
[16,0] |
$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4}$ |
$4$ |
$26.8792796542$ |
$62.37594312593305$ |
|
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
trivial |
$2$ |
$15$ |
$1366686.04982$ |
| 16.16.781...008.1 |
$x^{16} - 7 x^{15} + 5 x^{14} + 62 x^{13} - 114 x^{12} - 187 x^{11} + 510 x^{10} + 209 x^{9} - 990 x^{8} - 20 x^{7} + 938 x^{6} - 107 x^{5} - 416 x^{4} + 60 x^{3} + 69 x^{2} - 10 x - 1$ |
$16$ |
[16,0] |
$2^{8}\cdot 43^{2}\cdot 2777^{5}$ |
$3$ |
$26.9659681481$ |
$1382.2358698861783$ |
|
|
? |
$C_2^8.\GL(2,3)$ (as 16T1764) |
trivial |
$2$ |
$15$ |
$2361938.54995$ |
| 16.16.817...873.1 |
$x^{16} - 3 x^{15} - 25 x^{14} + 92 x^{13} + 98 x^{12} - 583 x^{11} + 49 x^{10} + 1383 x^{9} - 647 x^{8} - 1357 x^{7} + 807 x^{6} + 520 x^{5} - 251 x^{4} - 114 x^{3} + 19 x^{2} + 11 x + 1$ |
$16$ |
[16,0] |
$13^{4}\cdot 17^{15}$ |
$2$ |
$27.0415575014$ |
$51.34729148263172$ |
|
|
? |
$C_{16} : C_2$ (as 16T22) |
trivial |
$2$ |
$15$ |
$1330090.29679$ |
| 16.16.835...256.1 |
$x^{16} - 4 x^{15} - 18 x^{14} + 52 x^{13} + 115 x^{12} - 252 x^{11} - 316 x^{10} + 612 x^{9} + 372 x^{8} - 780 x^{7} - 106 x^{6} + 472 x^{5} - 92 x^{4} - 92 x^{3} + 36 x^{2} - 1$ |
$16$ |
[16,0] |
$2^{44}\cdot 41^{6}$ |
$2$ |
$27.0786141761$ |
$43.07491374145165$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$15$ |
$1534926.41575$ |
| 16.16.835...256.2 |
$x^{16} - 20 x^{14} + 150 x^{12} - 544 x^{10} + 1044 x^{8} - 1088 x^{6} + 600 x^{4} - 160 x^{2} + 16$ |
$16$ |
[16,0] |
$2^{44}\cdot 41^{6}$ |
$2$ |
$27.0786141761$ |
$108.99846467375717$ |
|
|
? |
$C_4^2:C_4$ (as 16T121) |
trivial |
$2$ |
$15$ |
$1418906.23953$ |
| 16.16.852...384.1 |
$x^{16} - 24 x^{14} - 16 x^{13} + 180 x^{12} + 176 x^{11} - 560 x^{10} - 608 x^{9} + 842 x^{8} + 864 x^{7} - 696 x^{6} - 512 x^{5} + 340 x^{4} + 80 x^{3} - 80 x^{2} + 16 x - 1$ |
$16$ |
[16,0] |
$2^{68}\cdot 17^{2}$ |
$2$ |
$27.1133759983$ |
$87.4254505389855$ |
|
|
? |
$C_2^4:C_8$ (as 16T258) |
trivial |
$2$ |
$15$ |
$2505509.31117$ |
| 16.16.875...000.1 |
$x^{16} - 24 x^{14} + 204 x^{12} - 798 x^{10} + 1514 x^{8} - 1356 x^{6} + 501 x^{4} - 42 x^{2} + 1$ |
$16$ |
[16,0] |
$2^{32}\cdot 5^{12}\cdot 17^{4}$ |
$3$ |
$27.15812137434088$ |
$55.14573827051111$ |
|
|
? |
$C_4 \times D_4$ (as 16T19) |
trivial |
$2$ |
$15$ |
$1448684.4900832393$ |
| 16.16.917...616.1 |
$x^{16} - 15 x^{14} + 89 x^{12} - 267 x^{10} + 428 x^{8} - 356 x^{6} + 139 x^{4} - 21 x^{2} + 1$ |
$16$ |
[16,0] |
$2^{16}\cdot 3^{2}\cdot 19^{4}\cdot 103^{6}$ |
$4$ |
$27.2378304406$ |
|
|
|
✓ |
$C_2^8.S_4$ (as 16T1664) |
trivial |
$2$ |
$15$ |
$1461834.16499$ |
| 16.16.934...000.1 |
$x^{16} - 24 x^{14} - 16 x^{13} + 176 x^{12} + 168 x^{11} - 516 x^{10} - 600 x^{9} + 582 x^{8} + 848 x^{7} - 192 x^{6} - 504 x^{5} - 48 x^{4} + 112 x^{3} + 24 x^{2} - 8 x - 2$ |
$16$ |
[16,0] |
$2^{48}\cdot 3^{12}\cdot 5^{4}$ |
$3$ |
$27.2692647952$ |
$40.77706187633094$ |
|
|
? |
$C_2^2.D_4$ (as 16T54) |
trivial |
$2$ |
$15$ |
$2642448.65626$ |
| 16.16.962...496.1 |
$x^{16} - 24 x^{14} - 8 x^{13} + 208 x^{12} + 144 x^{11} - 800 x^{10} - 808 x^{9} + 1298 x^{8} + 1744 x^{7} - 576 x^{6} - 1288 x^{5} - 128 x^{4} + 240 x^{3} + 40 x^{2} - 8 x - 1$ |
$16$ |
[16,0] |
$2^{60}\cdot 17^{4}$ |
$2$ |
$27.3196237628$ |
$57.929705299506566$ |
|
|
? |
$C_2\wr C_4$ (as 16T157) |
trivial |
$2$ |
$15$ |
$2765068.6561$ |
| 16.16.103...184.1 |
$x^{16} - 24 x^{14} + 204 x^{12} - 792 x^{10} + 1544 x^{8} - 1536 x^{6} + 744 x^{4} - 144 x^{2} + 4$ |
$16$ |
[16,0] |
$2^{54}\cdot 7^{8}$ |
$2$ |
$27.4489196157$ |
$27.44891961566663$ |
|
✓ |
? |
$C_2^2 : C_4$ (as 16T10) |
trivial |
$2$ |
$15$ |
$2687499.31281$ |
| 16.16.105...000.1 |
$x^{16} - 22 x^{14} + 178 x^{12} - 666 x^{10} + 1243 x^{8} - 1182 x^{6} + 542 x^{4} - 96 x^{2} + 1$ |
$16$ |
[16,0] |
$2^{32}\cdot 5^{8}\cdot 89^{4}$ |
$3$ |
$27.4721402618$ |
$100.34540629294615$ |
|
|
|
$C_2\wr C_2^2$ (as 16T149) |
trivial |
$2$ |
$15$ |
$2329542.49412$ |
| 16.16.108...000.1 |
$x^{16} - 26 x^{14} - 8 x^{13} + 234 x^{12} + 116 x^{11} - 952 x^{10} - 562 x^{9} + 1899 x^{8} + 1160 x^{7} - 1844 x^{6} - 1010 x^{5} + 805 x^{4} + 282 x^{3} - 133 x^{2} + 6 x + 1$ |
$16$ |
[16,0] |
$2^{24}\cdot 5^{8}\cdot 13^{4}\cdot 761^{2}$ |
$4$ |
$27.522565619$ |
$629.0627949577054$ |
|
|
? |
$C_2^4.C_2^4$ (as 16T528) |
trivial |
$2$ |
$15$ |
$1642326.90181$ |
| 16.16.108...000.2 |
$x^{16} - 2 x^{15} - 25 x^{14} + 30 x^{13} + 172 x^{12} - 152 x^{11} - 513 x^{10} + 368 x^{9} + 753 x^{8} - 456 x^{7} - 547 x^{6} + 276 x^{5} + 182 x^{4} - 70 x^{3} - 25 x^{2} + 6 x + 1$ |
$16$ |
[16,0] |
$2^{24}\cdot 5^{8}\cdot 13^{4}\cdot 761^{2}$ |
$4$ |
$27.522565619$ |
$629.0627949577054$ |
|
|
? |
$C_2^4.C_2^4$ (as 16T528) |
trivial |
$2$ |
$15$ |
$1565259.9178$ |
| 16.16.113...000.1 |
$x^{16} - 16 x^{14} + 96 x^{12} - 282 x^{10} + 441 x^{8} - 367 x^{6} + 151 x^{4} - 26 x^{2} + 1$ |
$16$ |
[16,0] |
$2^{16}\cdot 5^{8}\cdot 2108389^{2}$ |
$3$ |
$27.6063405143$ |
|
|
|
✓ |
$C_2^6.S_4\wr C_2$ (as 16T1868) |
trivial |
$2$ |
$15$ |
$1751421.42171$ |
| 16.16.115...584.1 |
$x^{16} - 19 x^{14} + 129 x^{12} - 390 x^{10} + 567 x^{8} - 409 x^{6} + 144 x^{4} - 22 x^{2} + 1$ |
$16$ |
[16,0] |
$2^{20}\cdot 43^{2}\cdot 2777^{4}$ |
$3$ |
$27.6289907789$ |
$1792.5381499258424$ |
|
|
? |
$C_2^8.S_4$ (as 16T1664) |
trivial |
$2$ |
$15$ |
$2923397.64798$ |
| 16.16.119...000.1 |
$x^{16} - 2 x^{15} - 21 x^{14} + 38 x^{13} + 146 x^{12} - 260 x^{11} - 425 x^{10} + 748 x^{9} + 609 x^{8} - 1016 x^{7} - 447 x^{6} + 644 x^{5} + 154 x^{4} - 162 x^{3} - 19 x^{2} + 10 x + 1$ |
$16$ |
[16,0] |
$2^{24}\cdot 5^{4}\cdot 7^{4}\cdot 41^{6}$ |
$4$ |
$27.6921038012$ |
$271.123341388618$ |
|
|
? |
$C_2^5.D_4$ (as 16T500) |
trivial |
$2$ |
$15$ |
$1723818.5867$ |
| 16.16.121...576.1 |
$x^{16} - 16 x^{14} + 104 x^{12} - 352 x^{10} + 660 x^{8} - 672 x^{6} + 336 x^{4} - 64 x^{2} + 1$ |
$16$ |
[16,0] |
$2^{64}\cdot 3^{8}$ |
$2$ |
$27.7128129211$ |
$27.712812921102035$ |
|
✓ |
✓ |
$C_8\times C_2$ (as 16T5) |
trivial |
$2$ |
$15$ |
$2882883.79836$ |
| 16.16.121...304.1 |
$x^{16} - 24 x^{14} + 206 x^{12} - 872 x^{10} + 2043 x^{8} - 2744 x^{6} + 2070 x^{4} - 800 x^{2} + 121$ |
$16$ |
[16,0] |
$2^{36}\cdot 3^{8}\cdot 13^{4}\cdot 97^{2}$ |
$4$ |
$27.714715351795807$ |
$292.57395390451063$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$2$ |
$15$ |
$1993653.8045410668$ |
