| 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 |
| 16.0.5455162516701184.1 |
$x^{16} - 4 x^{13} + 3 x^{12} + 8 x^{10} - 8 x^{9} + x^{8} - 8 x^{7} + 8 x^{6} + 3 x^{4} - 4 x^{3} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 7^{4}\cdot 23^{2}$ |
$3$ |
$9.628319226$ |
$50.75431016179808$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$8$ |
$7$ |
$40.8921494432$ |
| 16.0.13545904672265625.1 |
$x^{16} - 4 x^{15} + 11 x^{14} - 25 x^{13} + 41 x^{12} - 63 x^{11} + 81 x^{10} - 88 x^{9} + 101 x^{8} - 88 x^{7} + 81 x^{6} - 63 x^{5} + 41 x^{4} - 25 x^{3} + 11 x^{2} - 4 x + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{8}\cdot 11^{4}\cdot 19^{2}$ |
$4$ |
$10.1914974685$ |
$55.991070716677676$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$6$ |
$7$ |
$56.5194477953$ |
| 16.0.32280635141015625.1 |
$x^{16} - 3 x^{14} - x^{12} + 15 x^{8} - x^{4} - 3 x^{2} + 1$ |
$16$ |
[0,8] |
$3^{10}\cdot 5^{8}\cdot 7^{2}\cdot 13^{4}$ |
$4$ |
$10.7599159636$ |
$48.62354730304565$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$6$ |
$7$ |
$96.1195935853$ |
| 16.0.47683688992866304.1 |
$x^{16} - 4 x^{15} + 10 x^{14} - 16 x^{13} + 18 x^{12} - 8 x^{11} - 10 x^{10} + 28 x^{9} - 34 x^{8} + 28 x^{7} - 10 x^{6} - 8 x^{5} + 18 x^{4} - 16 x^{3} + 10 x^{2} - 4 x + 1$ |
$16$ |
[0,8] |
$2^{36}\cdot 7^{4}\cdot 17^{2}$ |
$3$ |
$11.0254954768$ |
$51.89087224896468$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$8$ |
$7$ |
$167.262047062$ |
| 16.0.81339259033747456.1 |
$x^{16} + 3 x^{14} + 5 x^{12} + 7 x^{10} + 9 x^{8} - 4 x^{4} + 4 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{24}\cdot 7^{8}\cdot 29^{2}$ |
$3$ |
$11.3997089471$ |
$56.991227395100026$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$4$ |
$7$ |
$114.44554744$ |
| 16.0.87282600267218944.1 |
$x^{16} - 4 x^{15} + 10 x^{14} - 24 x^{13} + 50 x^{12} - 88 x^{11} + 138 x^{10} - 196 x^{9} + 251 x^{8} - 284 x^{7} + 282 x^{6} - 236 x^{5} + 160 x^{4} - 84 x^{3} + 32 x^{2} - 8 x + 1$ |
$16$ |
[0,8] |
$2^{36}\cdot 7^{4}\cdot 23^{2}$ |
$3$ |
$11.450065729080833$ |
$60.357386761465186$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$8$ |
$7$ |
$243.1670405671638$ |
| 16.0.281236451406905344.1 |
$x^{16} - 4 x^{15} + 8 x^{14} - 4 x^{13} - 4 x^{12} + 12 x^{11} - 8 x^{10} - 4 x^{9} + 10 x^{8} - 4 x^{7} - 8 x^{6} + 12 x^{5} - 4 x^{4} - 4 x^{3} + 8 x^{2} - 4 x + 1$ |
$16$ |
[0,8] |
$2^{36}\cdot 7^{2}\cdot 17^{4}$ |
$3$ |
$12.318759473$ |
$51.89087224896468$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$8$ |
$7$ |
$1111.07765015$ |
| 16.0.315214873600000000.1 |
$x^{16} - 4 x^{14} + 6 x^{12} - 3 x^{10} + x^{8} - 3 x^{6} + 6 x^{4} - 4 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{8}\cdot 11^{4}\cdot 29^{2}$ |
$4$ |
$12.4068896311$ |
$79.87490219086344$ |
|
|
|
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$4$ |
$7$ |
$244.155557152$ |
| 16.0.603008258692612096.1 |
$x^{16} - 4 x^{15} + 8 x^{14} - 8 x^{13} + 4 x^{12} - 8 x^{11} + 32 x^{10} - 64 x^{9} + 80 x^{8} - 80 x^{7} + 96 x^{6} - 136 x^{5} + 161 x^{4} - 132 x^{3} + 72 x^{2} - 24 x + 4$ |
$16$ |
[0,8] |
$2^{32}\cdot 17^{4}\cdot 41^{2}$ |
$3$ |
$12.920228778$ |
$105.60303025955268$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$8$ |
$7$ |
$2053.14733304$ |
| 16.0.775594895133966336.1 |
$x^{16} - x^{14} + 4 x^{12} - 12 x^{11} + 17 x^{10} - 18 x^{9} + 19 x^{8} - 18 x^{7} + 17 x^{6} - 12 x^{5} + 4 x^{4} - x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{14}\cdot 11^{4}\cdot 13^{2}$ |
$4$ |
$13.12508679$ |
$62.543058045912645$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$12$ |
$7$ |
$997.229284158$ |
| 16.4.161...000.3 |
$x^{16} + 2 x^{14} - x^{12} - 10 x^{10} - 15 x^{8} - 10 x^{6} - x^{4} + 2 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{32}\cdot 5^{8}\cdot 31^{2}$ |
$3$ |
$13.7393189402$ |
$59.22203673199087$ |
|
|
✓ |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$2$ |
$9$ |
$466.615632855$ |
| 16.4.161...000.4 |
$x^{16} - 2 x^{14} - 8 x^{13} + 3 x^{12} + 8 x^{11} + 24 x^{10} - 36 x^{9} + 12 x^{8} - 32 x^{7} + 56 x^{6} - 32 x^{5} + 26 x^{4} - 40 x^{3} + 26 x^{2} - 4 x - 1$ |
$16$ |
[4,6] |
$2^{32}\cdot 5^{8}\cdot 31^{2}$ |
$3$ |
$13.7393189402$ |
$59.22203673199087$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$2$ |
$9$ |
$472.983674058$ |
| 16.0.161...000.5 |
$x^{16} - 2 x^{14} - x^{12} + 10 x^{10} - 15 x^{8} + 10 x^{6} - x^{4} - 2 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 5^{8}\cdot 31^{2}$ |
$3$ |
$13.739318940240283$ |
$59.22203673199087$ |
|
|
✓ |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$2$ |
$7$ |
$218.12319678456274$ |
| 16.0.161...625.1 |
$x^{16} - x^{15} + 5 x^{14} - 12 x^{13} + 2 x^{12} - 11 x^{11} + 16 x^{10} + 12 x^{9} + x^{8} - 6 x^{7} - 2 x^{6} + 23 x^{5} - 10 x^{4} - 6 x^{3} + 11 x^{2} - 5 x + 1$ |
$16$ |
[0,8] |
$3^{14}\cdot 5^{8}\cdot 7^{4}\cdot 19^{2}$ |
$4$ |
$13.743103277501605$ |
$67.4360184072635$ |
|
|
|
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$6$ |
$7$ |
$852.1489409448465$ |
| 16.0.284...936.1 |
$x^{16} - 8 x^{15} + 32 x^{14} - 84 x^{13} + 160 x^{12} - 228 x^{11} + 230 x^{10} - 120 x^{9} - 71 x^{8} + 220 x^{7} - 214 x^{6} + 68 x^{5} + 98 x^{4} - 168 x^{3} + 136 x^{2} - 64 x + 16$ |
$16$ |
[0,8] |
$2^{32}\cdot 17^{4}\cdot 89^{2}$ |
$3$ |
$14.2346230995$ |
$155.58920271021378$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$8$ |
$7$ |
$4834.35272371$ |
| 16.0.337...344.1 |
$x^{16} - 4 x^{15} + 2 x^{14} + 12 x^{13} - 14 x^{12} - 24 x^{11} + 68 x^{10} - 84 x^{9} + 135 x^{8} - 256 x^{7} + 316 x^{6} - 244 x^{5} + 178 x^{4} - 148 x^{3} + 70 x^{2} - 8 x + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 17^{4}\cdot 97^{2}$ |
$3$ |
$14.3886049362$ |
$162.43152403397562$ |
|
|
|
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$8$ |
$7$ |
$2099.90373907$ |
| 16.0.350...984.1 |
$x^{16} - 4 x^{15} + 8 x^{14} - 10 x^{12} + 20 x^{11} - 4 x^{9} + 27 x^{8} - 4 x^{7} + 20 x^{5} - 10 x^{4} + 8 x^{2} - 4 x + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 17^{2}\cdot 41^{4}$ |
$3$ |
$14.4232147774$ |
$105.60303025955268$ |
|
|
|
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$8$ |
$7$ |
$2146.55260618$ |
| 16.4.402...000.2 |
$x^{16} - 2 x^{15} - x^{14} + 6 x^{13} - 13 x^{12} + 20 x^{11} - 12 x^{10} - 24 x^{9} + 54 x^{8} - 24 x^{7} - 12 x^{6} + 20 x^{5} - 13 x^{4} + 6 x^{3} - x^{2} - 2 x + 1$ |
$16$ |
[4,6] |
$2^{32}\cdot 5^{8}\cdot 7^{4}$ |
$3$ |
$14.54854305025652$ |
$39.79848225570752$ |
|
|
|
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$2$ |
$9$ |
$1361.5550880244273$ |
| 16.0.964...536.1 |
$x^{16} - 4 x^{15} + 8 x^{14} - 4 x^{13} - 12 x^{12} + 28 x^{11} - 8 x^{10} - 60 x^{9} + 106 x^{8} - 84 x^{7} + 24 x^{6} + 12 x^{5} + 84 x^{4} - 36 x^{3} + 8 x^{2} + 4 x + 1$ |
$16$ |
[0,8] |
$2^{36}\cdot 17^{4}\cdot 41^{2}$ |
$3$ |
$15.3648279902$ |
$125.5838749505077$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$8$ |
$7$ |
$8280.60242558$ |
| 16.8.132...000.1 |
$x^{16} - 6 x^{14} + 19 x^{12} - 76 x^{10} + 201 x^{8} - 264 x^{6} + 159 x^{4} - 34 x^{2} + 1$ |
$16$ |
[8,4] |
$2^{32}\cdot 5^{8}\cdot 89^{2}$ |
$3$ |
$15.6754040602$ |
$100.34540629294615$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$2$ |
$11$ |
$2999.82024062$ |
| 16.0.132...000.2 |
$x^{16} + 4 x^{14} + 11 x^{12} + 18 x^{10} + 21 x^{8} + 18 x^{6} + 11 x^{4} + 4 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 5^{8}\cdot 89^{2}$ |
$3$ |
$15.6754040602$ |
$100.34540629294615$ |
|
|
✓ |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$2$ |
$7$ |
$497.708807084$ |
| 16.0.132...000.3 |
$x^{16} + 10 x^{14} - 8 x^{13} + 37 x^{12} - 56 x^{11} + 106 x^{10} - 156 x^{9} + 229 x^{8} - 256 x^{7} + 286 x^{6} - 244 x^{5} + 198 x^{4} - 112 x^{3} + 56 x^{2} - 16 x + 4$ |
$16$ |
[0,8] |
$2^{32}\cdot 5^{8}\cdot 89^{2}$ |
$3$ |
$15.6754040602$ |
$100.34540629294615$ |
|
|
|
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$2$ |
$7$ |
$1027.57341189$ |
| 16.0.132...000.5 |
$x^{16} - 4 x^{14} + 11 x^{12} - 18 x^{10} + 21 x^{8} - 18 x^{6} + 11 x^{4} - 4 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 5^{8}\cdot 89^{2}$ |
$3$ |
$15.675404060223093$ |
$100.34540629294615$ |
|
|
✓ |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$2$ |
$7$ |
$957.3736764359323$ |
| 16.0.163...000.3 |
$x^{16} - 8 x^{15} + 30 x^{14} - 70 x^{13} + 94 x^{12} - 18 x^{11} - 196 x^{10} + 430 x^{9} - 364 x^{8} - 178 x^{7} + 760 x^{6} - 836 x^{5} + 513 x^{4} - 204 x^{3} + 56 x^{2} - 10 x + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{8}\cdot 11^{6}\cdot 19^{2}$ |
$4$ |
$15.881131977116368$ |
$64.65291950097846$ |
|
|
|
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$4$ |
$7$ |
$2129.74546995449$ |
| 16.8.225...000.1 |
$x^{16} - 4 x^{14} + 4 x^{12} - 20 x^{10} - 42 x^{8} + 84 x^{6} + 100 x^{4} - 60 x^{2} + 1$ |
$16$ |
[8,4] |
$2^{36}\cdot 5^{8}\cdot 29^{2}$ |
$3$ |
$16.2032540804$ |
$65.22958500917873$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$2$ |
$11$ |
$4732.8441048$ |
| 16.0.225...000.1 |
$x^{16} + 2 x^{14} + 18 x^{12} - 32 x^{11} + 60 x^{10} - 84 x^{9} + 187 x^{8} - 344 x^{7} + 452 x^{6} - 400 x^{5} + 256 x^{4} - 116 x^{3} + 38 x^{2} - 8 x + 1$ |
$16$ |
[0,8] |
$2^{36}\cdot 5^{8}\cdot 29^{2}$ |
$3$ |
$16.203254080366182$ |
$65.22958500917873$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$2$ |
$7$ |
$1013.519147103785$ |
| 16.0.264...000.2 |
$x^{16} - 2 x^{14} - 3 x^{12} + 22 x^{10} - 12 x^{8} - 78 x^{6} + 157 x^{4} - 22 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 5^{8}\cdot 7^{4}\cdot 41^{2}$ |
$4$ |
$16.36449047884072$ |
$107.144761887831$ |
|
|
|
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$2$ |
$7$ |
$2346.950558576581$ |
| 16.0.264...000.3 |
$x^{16} + 6 x^{14} - 8 x^{13} + 18 x^{12} - 48 x^{11} + 62 x^{10} - 86 x^{9} + 69 x^{8} - 28 x^{7} + 10 x^{6} + 18 x^{5} - x^{4} + 10 x^{3} + 5 x^{2} + 2 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 5^{8}\cdot 7^{4}\cdot 41^{2}$ |
$4$ |
$16.36449047884072$ |
$107.144761887831$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$2$ |
$7$ |
$812.1698781010609$ |
| 16.0.277...625.1 |
$x^{16} - 4 x^{14} + 18 x^{12} + 3 x^{10} - 11 x^{8} + 3 x^{6} + 18 x^{4} - 4 x^{2} + 1$ |
$16$ |
[0,8] |
$5^{8}\cdot 7^{8}\cdot 11^{4}\cdot 29^{2}$ |
$4$ |
$16.412772253853458$ |
$105.66456359631643$ |
|
|
|
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$2$ |
$7$ |
$1657.0808632383896$ |
| 16.0.295...024.3 |
$x^{16} - 2 x^{15} - 4 x^{14} + 8 x^{13} + 11 x^{12} - 16 x^{11} - 24 x^{10} + 10 x^{9} + 57 x^{8} + 20 x^{7} - 96 x^{6} - 128 x^{5} + 176 x^{4} + 256 x^{3} - 256 x^{2} - 256 x + 256$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{8}\cdot 13^{4}\cdot 97^{2}$ |
$4$ |
$16.4792683433$ |
$173.96551382386107$ |
✓ |
|
|
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$12$ |
$7$ |
$10144.1441049$ |
| 16.0.561...744.1 |
$x^{16} - 8 x^{15} + 26 x^{14} - 36 x^{13} + 4 x^{12} - 8 x^{11} + 232 x^{10} - 540 x^{9} + 507 x^{8} - 316 x^{7} + 520 x^{6} - 848 x^{5} + 748 x^{4} - 372 x^{3} + 106 x^{2} - 16 x + 1$ |
$16$ |
[0,8] |
$2^{36}\cdot 17^{2}\cdot 41^{4}$ |
$3$ |
$17.1521896345$ |
$125.5838749505077$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
$[2]$ |
$8$ |
$7$ |
$4328.65884279$ |
| 16.0.102...504.1 |
$x^{16} - 4 x^{15} + 5 x^{14} - 2 x^{13} + 5 x^{12} - 8 x^{11} - 12 x^{10} + 32 x^{9} - 36 x^{8} + 64 x^{7} - 48 x^{6} - 64 x^{5} + 80 x^{4} - 64 x^{3} + 320 x^{2} - 512 x + 256$ |
$16$ |
[0,8] |
$2^{20}\cdot 3^{8}\cdot 13^{2}\cdot 97^{4}$ |
$4$ |
$17.8149240243$ |
$173.96551382386107$ |
✓ |
|
|
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$12$ |
$7$ |
$23102.3152124$ |
| 16.0.143...000.2 |
$x^{16} - 2 x^{15} + 2 x^{14} + 4 x^{13} + x^{12} - 52 x^{11} + 110 x^{10} - 230 x^{9} + 396 x^{8} - 350 x^{7} + 230 x^{6} - 176 x^{5} + 121 x^{4} - 52 x^{3} + 18 x^{2} - 6 x + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{8}\cdot 29^{4}\cdot 89^{2}$ |
$4$ |
$18.188138311669654$ |
$227.2003521124032$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$4$ |
$7$ |
$4588.812679602563$ |
| 16.0.154...864.1 |
$x^{16} - 4 x^{15} + 8 x^{14} - 8 x^{13} + 7 x^{12} - 16 x^{11} + 40 x^{10} - 60 x^{9} + 81 x^{8} - 120 x^{7} + 160 x^{6} - 128 x^{5} + 112 x^{4} - 256 x^{3} + 512 x^{2} - 512 x + 256$ |
$16$ |
[0,8] |
$2^{32}\cdot 41^{4}\cdot 113^{2}$ |
$3$ |
$18.2764044786$ |
$272.26457720386617$ |
✓ |
|
|
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$8$ |
$7$ |
$17312.914612848206$ |
| 16.0.191...904.1 |
$x^{16} - x^{15} - x^{14} - 10 x^{13} + 20 x^{12} + x^{11} + 53 x^{10} - 120 x^{9} + 93 x^{8} - 199 x^{7} + 285 x^{6} - 182 x^{5} + 94 x^{4} + 46 x^{3} + 34 x^{2} + 6 x + 1$ |
$16$ |
[0,8] |
$2^{22}\cdot 3^{8}\cdot 17^{8}$ |
$3$ |
$18.52257372568714$ |
$57.1314274283428$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$6$ |
$7$ |
$14535.52712813325$ |
| 16.0.297...000.6 |
$x^{16} - x^{14} + 19 x^{12} + 8 x^{10} + 93 x^{8} + 154 x^{6} - 44 x^{4} - 242 x^{2} + 121$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 11^{6}$ |
$4$ |
$19.036972481784865$ |
$85.80673661171278$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
$[2]$ |
$6$ |
$7$ |
$4227.245735654045$ |
| 16.0.316...224.4 |
$x^{16} + 10 x^{14} + 5 x^{12} - 22 x^{10} + 16 x^{8} - 22 x^{6} + 5 x^{4} + 10 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{28}\cdot 13^{2}\cdot 17^{8}$ |
$3$ |
$19.110404170044138$ |
$70.71533890572302$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
$[2]$ |
$4$ |
$7$ |
$18858.722537902526$ |
| 16.0.316...224.5 |
$x^{16} - 8 x^{15} + 32 x^{14} - 80 x^{13} + 146 x^{12} - 220 x^{11} + 288 x^{10} - 304 x^{9} + 245 x^{8} - 196 x^{7} + 200 x^{6} - 168 x^{5} + 104 x^{4} - 40 x^{3} + 4$ |
$16$ |
[0,8] |
$2^{28}\cdot 13^{2}\cdot 17^{8}$ |
$3$ |
$19.110404170044138$ |
$70.71533890572302$ |
|
|
|
$D_4^2:C_2^2$ (as 16T509) |
$[2]$ |
$4$ |
$7$ |
$42173.10100081833$ |
| 16.0.492...625.1 |
$x^{16} - x^{15} - 2 x^{14} - 5 x^{13} + 7 x^{12} + 11 x^{11} + 18 x^{10} - 29 x^{9} - 29 x^{8} - 58 x^{7} + 72 x^{6} + 88 x^{5} + 112 x^{4} - 160 x^{3} - 128 x^{2} - 128 x + 256$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{8}\cdot 29^{4}\cdot 521^{2}$ |
$4$ |
$19.6449009945$ |
$476.06197075590904$ |
✓ |
|
|
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$6$ |
$7$ |
$19153.796167080214$ |
| 16.4.907...000.1 |
$x^{16} - 6 x^{15} + 13 x^{14} - 10 x^{13} - 13 x^{12} + 16 x^{11} + 52 x^{10} - 248 x^{9} + 536 x^{8} - 796 x^{7} + 820 x^{6} - 532 x^{5} + 171 x^{4} + 26 x^{3} - 45 x^{2} + 10 x + 1$ |
$16$ |
[4,6] |
$2^{24}\cdot 5^{8}\cdot 7^{2}\cdot 41^{4}$ |
$4$ |
$20.4109498125$ |
$107.144761887831$ |
|
|
|
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$2$ |
$9$ |
$32512.2177389$ |
| 16.4.907...000.2 |
$x^{16} - 2 x^{15} - x^{14} + 2 x^{13} - 6 x^{12} - 8 x^{11} + 15 x^{10} - 36 x^{9} - 17 x^{8} + 36 x^{7} + 15 x^{6} + 8 x^{5} - 6 x^{4} - 2 x^{3} - x^{2} + 2 x + 1$ |
$16$ |
[4,6] |
$2^{24}\cdot 5^{8}\cdot 7^{2}\cdot 41^{4}$ |
$4$ |
$20.4109498125$ |
$107.144761887831$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$2$ |
$9$ |
$11250.9587479$ |
| 16.0.920...000.1 |
$x^{16} - 2 x^{14} + 27 x^{12} + 24 x^{10} + 81 x^{8} + 8 x^{6} + 91 x^{4} + 10 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 5^{8}\cdot 17^{4}\cdot 41^{2}$ |
$4$ |
$20.4286754144$ |
$166.97305171793442$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$2$ |
$7$ |
$6223.68051591$ |
| 16.0.107...625.1 |
$x^{16} - 3 x^{15} + x^{14} + 4 x^{13} - x^{12} - 2 x^{11} - 8 x^{10} + 6 x^{9} + 9 x^{8} + 12 x^{7} - 32 x^{6} - 16 x^{5} - 16 x^{4} + 128 x^{3} + 64 x^{2} - 384 x + 256$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{8}\cdot 29^{4}\cdot 769^{2}$ |
$4$ |
$20.6246183795$ |
$578.3727171988664$ |
✓ |
|
|
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$6$ |
$7$ |
$22172.1351917652$ |
| 16.12.118...000.1 |
$x^{16} - 10 x^{14} + 31 x^{12} - 42 x^{10} + 61 x^{8} - 76 x^{6} + 47 x^{4} - 12 x^{2} + 1$ |
$16$ |
[12,2] |
$2^{32}\cdot 5^{8}\cdot 29^{4}$ |
$3$ |
$20.7560397131$ |
$65.22958500917873$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$2$ |
$13$ |
$70653.7375157$ |
| 16.12.118...000.2 |
$x^{16} - 8 x^{14} + 37 x^{12} - 110 x^{10} + 190 x^{8} - 176 x^{6} + 80 x^{4} - 16 x^{2} + 1$ |
$16$ |
[12,2] |
$2^{32}\cdot 5^{8}\cdot 29^{4}$ |
$3$ |
$20.7560397131$ |
$65.22958500917873$ |
|
|
✓ |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$2$ |
$13$ |
$68808.2956194$ |
| 16.0.199...625.1 |
$x^{16} - 2 x^{15} - 2 x^{14} + 6 x^{13} + x^{12} - 4 x^{11} - 9 x^{10} - x^{9} + 31 x^{8} - 2 x^{7} - 36 x^{6} - 32 x^{5} + 16 x^{4} + 192 x^{3} - 128 x^{2} - 256 x + 256$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{8}\cdot 29^{4}\cdot 1049^{2}$ |
$4$ |
$21.4408532838$ |
$675.5109177504091$ |
✓ |
|
|
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$6$ |
$7$ |
$29306.681481774012$ |
| 16.0.301...625.1 |
$x^{16} - x^{15} - 4 x^{14} + 5 x^{13} + 7 x^{12} - 9 x^{11} - 10 x^{10} + 7 x^{9} + 19 x^{8} + 14 x^{7} - 40 x^{6} - 72 x^{5} + 112 x^{4} + 160 x^{3} - 256 x^{2} - 128 x + 256$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{8}\cdot 29^{4}\cdot 1289^{2}$ |
$4$ |
$22.0002058122$ |
$748.8090544324367$ |
✓ |
|
|
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$6$ |
$7$ |
$30617.03389672459$ |
| 16.0.397...784.1 |
$x^{16} - 2 x^{15} - x^{14} + 10 x^{13} - 8 x^{12} - 18 x^{11} + 35 x^{10} + 14 x^{9} - 83 x^{8} + 28 x^{7} + 140 x^{6} - 144 x^{5} - 128 x^{4} + 320 x^{3} - 64 x^{2} - 256 x + 256$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{8}\cdot 41^{4}\cdot 113^{2}$ |
$4$ |
$22.3839326526$ |
$333.4546445920344$ |
✓ |
|
|
$D_4^2:C_2^2$ (as 16T509) |
$[3]$ |
$6$ |
$7$ |
$51180.895343268894$ |
| 16.0.491...000.1 |
$x^{16} - 5 x^{14} + 17 x^{12} - 45 x^{10} + 93 x^{8} - 180 x^{6} + 272 x^{4} - 320 x^{2} + 256$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{8}\cdot 29^{4}\cdot 521^{2}$ |
$4$ |
$22.6839777547$ |
$549.7090139337357$ |
✓ |
|
? |
$D_4^2:C_2^2$ (as 16T509) |
trivial |
$4$ |
$7$ |
$31832.72419853747$ |
| 16.0.526...625.1 |
$x^{16} - 3 x^{15} + 2 x^{14} - 11 x^{13} + 30 x^{12} - 13 x^{11} + 25 x^{10} - 41 x^{9} - 129 x^{8} + 164 x^{7} + 2 x^{6} - 70 x^{5} + 277 x^{4} + 50 x^{3} - 64 x^{2} + 8 x + 16$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{8}\cdot 89^{4}\cdot 181^{2}$ |
$4$ |
$22.7825825754$ |
$491.5638310535062$ |
✓ |
|
|
$D_4^2:C_2^2$ (as 16T509) |
$[3]$ |
$6$ |
$7$ |
$49183.10628392764$ |
