| 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 |
| 16.0.4559007230078125.1 |
$x^{16} - 2 x^{15} + 3 x^{14} - 6 x^{13} + 11 x^{12} - 19 x^{11} + 26 x^{10} - 30 x^{9} + 33 x^{8} - 30 x^{7} + 26 x^{6} - 19 x^{5} + 11 x^{4} - 6 x^{3} + 3 x^{2} - 2 x + 1$ |
$16$ |
[0,8] |
$5^{8}\cdot 11^{4}\cdot 59^{2}\cdot 229$ |
$4$ |
$9.52093044767$ |
$862.0353821044703$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$7$ |
$9.23010708309$ |
| 16.0.5236602731044893.1 |
$x^{16} - 7 x^{15} + 26 x^{14} - 66 x^{13} + 125 x^{12} - 180 x^{11} + 195 x^{10} - 148 x^{9} + 60 x^{8} + 21 x^{7} - 58 x^{6} + 51 x^{5} - 22 x^{4} - 2 x^{3} + 9 x^{2} - 5 x + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 13^{4}\cdot 181^{2}\cdot 853$ |
$4$ |
$9.6037445943$ |
$2453.839236787936$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$6$ |
$7$ |
$29.7678343854$ |
| 16.0.8575915274724096.1 |
$x^{16} - 7 x^{15} + 20 x^{14} - 29 x^{13} + 19 x^{12} + 5 x^{11} - 18 x^{10} - 5 x^{9} + 50 x^{8} - 58 x^{7} + 21 x^{6} + 10 x^{5} - 18 x^{4} + 11 x^{3} - 2 x + 1$ |
$16$ |
[0,8] |
$2^{8}\cdot 3^{8}\cdot 13^{4}\cdot 19\cdot 97^{2}$ |
$5$ |
$9.90444238737$ |
$983.3909630594842$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$6$ |
$7$ |
$40.2208397982$ |
| 16.2.17695129757421875.1 |
$x^{16} - x^{15} - 2 x^{14} + 5 x^{13} - 3 x^{12} - 7 x^{11} + 12 x^{10} + x^{9} - 15 x^{8} + 13 x^{7} + 8 x^{6} - 19 x^{5} + 2 x^{4} + 10 x^{3} - 3 x^{2} - 2 x + 1$ |
$16$ |
[2,7] |
$-\,5^{8}\cdot 11^{4}\cdot 59\cdot 229^{2}$ |
$4$ |
$10.363127931$ |
$862.0353821044703$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$8$ |
$26.9911896741$ |
| 16.0.29862086714453125.1 |
$x^{16} - 3 x^{15} + 3 x^{14} + x^{13} - 4 x^{12} + 2 x^{11} + 5 x^{10} - 9 x^{9} + 3 x^{8} + 9 x^{7} - 9 x^{6} - 4 x^{5} + 9 x^{4} - x^{3} - 4 x^{2} + x + 1$ |
$16$ |
[0,8] |
$5^{8}\cdot 11^{4}\cdot 151^{2}\cdot 229$ |
$4$ |
$10.7076707724$ |
$1379.0739646588938$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$7$ |
$29.6941711926$ |
| 16.2.45287535480859375.1 |
$x^{16} - 3 x^{15} + 6 x^{14} - 11 x^{13} + 14 x^{12} - 16 x^{11} + 13 x^{10} - 8 x^{9} + 7 x^{8} - 8 x^{7} + 13 x^{6} - 16 x^{5} + 14 x^{4} - 11 x^{3} + 6 x^{2} - 3 x + 1$ |
$16$ |
[2,7] |
$-\,5^{8}\cdot 11^{4}\cdot 151\cdot 229^{2}$ |
$4$ |
$10.9900246863$ |
$1379.0739646588938$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$8$ |
$46.4808624$ |
| 16.2.60840256363671875.1 |
$x^{16} - x^{15} + x^{14} - 2 x^{12} - 2 x^{11} + 3 x^{10} - 3 x^{9} + 3 x^{8} + 14 x^{7} - 22 x^{6} + 6 x^{5} + 5 x^{4} + 2 x^{3} - 5 x^{2} + 1$ |
$16$ |
[2,7] |
$-\,5^{8}\cdot 29^{4}\cdot 41^{2}\cdot 131$ |
$4$ |
$11.194686597$ |
$882.4936260393046$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$8$ |
$56.520400945$ |
| 16.2.67969704100000000.1 |
$x^{16} - 3 x^{14} + x^{12} + 3 x^{10} + 2 x^{8} - x^{6} - 9 x^{4} - 4 x^{2} - 1$ |
$16$ |
[2,7] |
$-\,2^{8}\cdot 5^{8}\cdot 29^{4}\cdot 31^{2}$ |
$4$ |
$11.2724861714$ |
$245.92126826496147$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$8$ |
$62.5995169928$ |
| 16.2.98251000757421875.1 |
$x^{16} - x^{15} - x^{14} + 5 x^{13} - 2 x^{12} - 8 x^{11} + 13 x^{10} + 5 x^{9} - 24 x^{8} + 12 x^{7} + 28 x^{6} - 25 x^{5} - 21 x^{4} + 16 x^{3} + 8 x^{2} - 4 x - 1$ |
$16$ |
[2,7] |
$-\,5^{8}\cdot 11^{2}\cdot 29^{4}\cdot 2939$ |
$4$ |
$11.5350919671$ |
$2165.1108516655677$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$8$ |
$76.1400735821$ |
| 16.2.115558273191796875.1 |
$x^{16} + 2 x^{14} - 5 x^{13} - x^{12} - 10 x^{11} + 3 x^{10} - 4 x^{9} + 9 x^{8} - 4 x^{7} + 8 x^{6} - x^{5} + 7 x^{4} + 4 x^{2} - x + 1$ |
$16$ |
[2,7] |
$-\,3^{4}\cdot 5^{8}\cdot 11^{4}\cdot 19^{2}\cdot 691$ |
$5$ |
$11.6526597417$ |
$1471.8304929576639$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$8$ |
$84.8251848921$ |
| 16.2.118893936100000000.1 |
$x^{16} - x^{14} - 4 x^{12} + 4 x^{10} + 7 x^{8} + 2 x^{6} - 4 x^{4} - 5 x^{2} - 1$ |
$16$ |
[2,7] |
$-\,2^{8}\cdot 5^{8}\cdot 29^{4}\cdot 41^{2}$ |
$4$ |
$11.6734030717$ |
$282.81808113862405$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$8$ |
$83.2222937736$ |
| 16.2.134673762004296875.1 |
$x^{16} - 3 x^{15} + 7 x^{14} - 9 x^{13} + 10 x^{12} - 9 x^{11} + 9 x^{10} - 12 x^{9} + 11 x^{8} - 12 x^{7} + 9 x^{6} - 9 x^{5} + 10 x^{4} - 9 x^{3} + 7 x^{2} - 3 x + 1$ |
$16$ |
[2,7] |
$-\,5^{8}\cdot 29^{4}\cdot 61^{2}\cdot 131$ |
$4$ |
$11.76468184641966$ |
$1076.4269599002062$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$8$ |
$91.09292559953064$ |
| 16.0.156383420761328125.1 |
$x^{16} - 3 x^{15} + 4 x^{14} + x^{13} - 5 x^{12} + 12 x^{10} - 5 x^{9} - 8 x^{8} + 10 x^{7} + 11 x^{6} - 8 x^{5} - x^{4} + 7 x^{3} + x^{2} - 2 x + 1$ |
$16$ |
[0,8] |
$5^{8}\cdot 19\cdot 29^{4}\cdot 31^{3}$ |
$4$ |
$11.8750902602$ |
$689.5758953208109$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$7$ |
$72.7900412777$ |
| 16.0.189837888276953125.1 |
$x^{16} - 2 x^{15} + 3 x^{14} - 8 x^{13} + 9 x^{12} - 5 x^{11} + 12 x^{10} - 7 x^{9} - 2 x^{8} - 11 x^{7} + 7 x^{6} + 5 x^{5} + 6 x^{4} - 7 x^{3} - x^{2} + 1$ |
$16$ |
[0,8] |
$5^{8}\cdot 11^{4}\cdot 29^{3}\cdot 1361$ |
$4$ |
$12.0198467592$ |
$3419.077190924994$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$7$ |
$77.7064932253$ |
| 16.4.194392038625390625.1 |
$x^{16} - 7 x^{15} + 23 x^{14} - 45 x^{13} + 55 x^{12} - 32 x^{11} - 28 x^{10} + 94 x^{9} - 123 x^{8} + 94 x^{7} - 28 x^{6} - 32 x^{5} + 55 x^{4} - 45 x^{3} + 23 x^{2} - 7 x + 1$ |
$16$ |
[4,6] |
$5^{8}\cdot 29^{4}\cdot 41\cdot 131^{2}$ |
$4$ |
$12.0376692022$ |
$882.4936260393046$ |
|
|
✓ |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$9$ |
$145.972544001$ |
| 16.2.217453542400000000.1 |
$x^{16} - 2 x^{15} - x^{14} + 4 x^{13} - 4 x^{12} + 4 x^{11} - x^{10} + 8 x^{9} - 14 x^{8} - 8 x^{7} + 14 x^{6} + 6 x^{5} - 4 x^{4} - 4 x^{3} - x^{2} + 2 x + 1$ |
$16$ |
[2,7] |
$-\,2^{16}\cdot 5^{8}\cdot 31^{2}\cdot 8839$ |
$4$ |
$12.1223105454$ |
|
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$8$ |
$115.175792316$ |
| 16.4.289217423320703125.1 |
$x^{16} - x^{15} - 5 x^{14} + 12 x^{13} - 2 x^{12} - 22 x^{11} + 28 x^{10} - 4 x^{9} - 13 x^{8} - 4 x^{7} + 28 x^{6} - 22 x^{5} - 2 x^{4} + 12 x^{3} - 5 x^{2} - x + 1$ |
$16$ |
[4,6] |
$5^{8}\cdot 29^{4}\cdot 61\cdot 131^{2}$ |
$4$ |
$12.3403230302$ |
$1076.4269599002062$ |
|
|
✓ |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$9$ |
$181.198740019$ |
| 16.0.399698962570703125.1 |
$x^{16} - x^{15} - x^{14} + 3 x^{12} + 7 x^{11} - 2 x^{10} - 11 x^{9} + 8 x^{8} + 20 x^{7} - 7 x^{6} - 19 x^{5} + 12 x^{4} + 35 x^{3} + 25 x^{2} + 8 x + 1$ |
$16$ |
[0,8] |
$5^{8}\cdot 11^{4}\cdot 29^{2}\cdot 83101$ |
$4$ |
$12.5923942918$ |
$11512.866497966525$ |
|
|
✓ |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$7$ |
$111.616366101$ |
| 16.6.561298201600000000.1 |
$x^{16} - 8 x^{15} + 28 x^{14} - 56 x^{13} + 61 x^{12} - 2 x^{11} - 107 x^{10} + 172 x^{9} - 129 x^{8} + 34 x^{7} + 21 x^{6} - 20 x^{5} + 8 x^{4} - 6 x^{3} + 3 x^{2} - 1$ |
$16$ |
[6,5] |
$-\,2^{16}\cdot 5^{8}\cdot 29^{4}\cdot 31$ |
$4$ |
$12.8624767625$ |
|
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$10$ |
$359.922310966$ |
| 16.2.638966001996484375.1 |
$x^{16} - x^{13} + 2 x^{12} - 6 x^{11} + 4 x^{10} - x^{9} + x^{8} - x^{7} + 4 x^{6} - 6 x^{5} + 2 x^{4} - x^{3} + 1$ |
$16$ |
[2,7] |
$-\,5^{8}\cdot 29^{2}\cdot 31\cdot 89^{4}$ |
$4$ |
$12.9670850523$ |
$632.4990118569357$ |
|
|
|
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$8$ |
$298.472419612$ |
| 16.4.683032622823828125.1 |
$x^{16} - x^{15} - 2 x^{14} - 4 x^{13} - 5 x^{12} - x^{11} + 6 x^{10} + 13 x^{9} + 15 x^{8} + 13 x^{7} + 6 x^{6} - x^{5} - 5 x^{4} - 4 x^{3} - 2 x^{2} - x + 1$ |
$16$ |
[4,6] |
$5^{8}\cdot 29\cdot 31^{2}\cdot 89^{4}$ |
$4$ |
$13.0212473992$ |
$632.4990118569357$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$9$ |
$306.896910129$ |
| 16.2.848687193023046875.1 |
$x^{16} - 2 x^{15} + 4 x^{14} - 8 x^{13} + 11 x^{12} - 15 x^{11} + 18 x^{10} - 20 x^{9} + 21 x^{8} - 20 x^{7} + 18 x^{6} - 15 x^{5} + 11 x^{4} - 8 x^{3} + 4 x^{2} - 2 x + 1$ |
$16$ |
[2,7] |
$-\,5^{8}\cdot 29^{4}\cdot 131^{2}\cdot 179$ |
$4$ |
$13.1991732094$ |
$1843.937363361348$ |
|
|
✓ |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$8$ |
$223.754345907$ |
| 16.4.871313047442948096.1 |
$x^{16} - 2 x^{15} + 5 x^{14} - 10 x^{13} + 20 x^{12} - 44 x^{11} + 63 x^{10} - 72 x^{9} + 41 x^{8} + 6 x^{7} - 27 x^{6} + 20 x^{5} - 15 x^{4} + 22 x^{3} - 12 x^{2} + 4 x - 1$ |
$16$ |
[4,6] |
$2^{24}\cdot 7^{4}\cdot 23^{2}\cdot 31\cdot 1319$ |
$5$ |
$13.2208959894$ |
|
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$9$ |
$336.002017875$ |
| 16.2.115...875.1 |
$x^{16} - 2 x^{15} + 3 x^{14} - x^{13} - 4 x^{12} + 11 x^{11} - 19 x^{10} + 25 x^{9} - 27 x^{8} + 25 x^{7} - 19 x^{6} + 11 x^{5} - 4 x^{4} - x^{3} + 3 x^{2} - 2 x + 1$ |
$16$ |
[2,7] |
$-\,5^{8}\cdot 29^{4}\cdot 131\cdot 179^{2}$ |
$4$ |
$13.4592415225$ |
$1843.937363361348$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$8$ |
$271.016541078$ |
| 16.4.166...125.1 |
$x^{16} - 4 x^{15} + 3 x^{14} + 10 x^{13} - 18 x^{12} - 11 x^{11} + 49 x^{10} - 19 x^{9} - 50 x^{8} + 35 x^{7} + 45 x^{6} - 47 x^{5} - 19 x^{4} + 33 x^{3} - 7 x^{2} - 3 x + 1$ |
$16$ |
[4,6] |
$5^{8}\cdot 19\cdot 29^{4}\cdot 31\cdot 101^{2}$ |
$5$ |
$13.7643871436$ |
$2936.989104508221$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$9$ |
$515.293705936$ |
| 16.4.166...125.2 |
$x^{16} + 2 x^{14} - 8 x^{13} + 5 x^{12} - 11 x^{11} - 8 x^{10} + 16 x^{9} - 25 x^{8} + 16 x^{7} - 8 x^{6} - 11 x^{5} + 5 x^{4} - 8 x^{3} + 2 x^{2} + 1$ |
$16$ |
[4,6] |
$5^{8}\cdot 19\cdot 29^{4}\cdot 31\cdot 101^{2}$ |
$5$ |
$13.7643871436$ |
$2936.989104508221$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$9$ |
$521.613697677$ |
| 16.0.193...125.1 |
$x^{16} - 6 x^{15} + 18 x^{14} - 35 x^{13} + 46 x^{12} - 37 x^{11} + 11 x^{10} + 4 x^{9} + 20 x^{8} - 73 x^{7} + 111 x^{6} - 100 x^{5} + 55 x^{4} - 16 x^{3} + 2 x^{2} - x + 1$ |
$16$ |
[0,8] |
$5^{8}\cdot 19\cdot 29^{4}\cdot 31\cdot 109^{2}$ |
$5$ |
$13.8961668438$ |
$3051.0891497955286$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$7$ |
$250.440613107$ |
| 16.4.193...125.1 |
$x^{16} - 3 x^{15} - 2 x^{14} + 19 x^{13} - 20 x^{12} - 27 x^{11} + 74 x^{10} - 28 x^{9} - 77 x^{8} + 87 x^{7} + 7 x^{6} - 55 x^{5} + 21 x^{4} - 2 x^{3} + 11 x^{2} - 6 x + 1$ |
$16$ |
[4,6] |
$5^{8}\cdot 19\cdot 29^{4}\cdot 31\cdot 109^{2}$ |
$5$ |
$13.8961668438$ |
$3051.0891497955286$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$9$ |
$567.065416993$ |
| 16.4.210...000.1 |
$x^{16} - 7 x^{15} + 20 x^{14} - 31 x^{13} + 24 x^{12} + 7 x^{11} - 46 x^{10} + 57 x^{9} - 15 x^{8} - 53 x^{7} + 78 x^{6} - 30 x^{5} - 19 x^{4} + 27 x^{3} - 17 x^{2} + 6 x - 1$ |
$16$ |
[4,6] |
$2^{8}\cdot 5^{8}\cdot 29^{4}\cdot 31^{3}$ |
$4$ |
$13.9710747753$ |
$580.2785449226502$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$9$ |
$556.654070975$ |
| 16.4.295...125.1 |
$x^{16} - 8 x^{15} + 27 x^{14} - 49 x^{13} + 50 x^{12} - 27 x^{11} + 6 x^{10} + 3 x^{9} - 10 x^{8} + 11 x^{7} - 5 x^{6} + 4 x^{5} - 4 x^{4} + x + 1$ |
$16$ |
[4,6] |
$5^{8}\cdot 11^{2}\cdot 29^{4}\cdot 88469$ |
$4$ |
$14.2702976649$ |
$11878.89115195522$ |
|
|
✓ |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$9$ |
$626.558556499$ |
| 16.6.297...375.1 |
$x^{16} - 5 x^{15} + 10 x^{14} - 12 x^{13} + 8 x^{12} + 3 x^{11} - 14 x^{10} + 22 x^{9} - 25 x^{8} + 22 x^{7} - 14 x^{6} + 3 x^{5} + 8 x^{4} - 12 x^{3} + 10 x^{2} - 5 x + 1$ |
$16$ |
[6,5] |
$-\,5^{8}\cdot 19^{2}\cdot 29^{4}\cdot 31^{3}$ |
$4$ |
$14.2744380244$ |
$689.5758953208109$ |
|
|
✓ |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$10$ |
$889.039528602$ |
| 16.6.297...000.1 |
$x^{16} - 5 x^{15} + 10 x^{14} - 5 x^{13} - 12 x^{12} + 2 x^{11} + 64 x^{10} - 100 x^{9} - 23 x^{8} + 218 x^{7} - 218 x^{6} + 24 x^{5} + 88 x^{4} - 49 x^{3} + 2 x^{2} + 5 x - 1$ |
$16$ |
[6,5] |
$-\,2^{8}\cdot 5^{10}\cdot 29^{4}\cdot 41^{2}$ |
$4$ |
$14.2747572677$ |
$422.9116729379657$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$10$ |
$954.87927121$ |
| 16.6.297...000.2 |
$x^{16} - 7 x^{14} + 10 x^{12} + 41 x^{10} - 181 x^{8} + 305 x^{6} - 270 x^{4} + 125 x^{2} - 25$ |
$16$ |
[6,5] |
$-\,2^{8}\cdot 5^{10}\cdot 29^{4}\cdot 41^{2}$ |
$4$ |
$14.2747572677$ |
$422.9116729379657$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$10$ |
$926.665869377$ |
| 16.4.360...125.1 |
$x^{16} - x^{15} - 3 x^{14} + 3 x^{13} - 4 x^{12} + 30 x^{11} - 40 x^{10} + 29 x^{9} - 69 x^{8} + 64 x^{7} - 33 x^{6} + 35 x^{5} - 12 x^{4} + 20 x^{3} - 4 x^{2} + 4 x - 1$ |
$16$ |
[4,6] |
$5^{8}\cdot 11^{4}\cdot 59^{2}\cdot 61\cdot 2969$ |
$5$ |
$14.448106257$ |
$24242.497911725186$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$9$ |
$722.801377446$ |
| 16.4.361...125.1 |
$x^{16} - 3 x^{15} + 8 x^{14} - 5 x^{13} - 3 x^{12} + 25 x^{11} - 21 x^{10} + 15 x^{9} + 27 x^{8} + 4 x^{7} + 46 x^{6} + 23 x^{5} + 14 x^{4} + 11 x^{3} - x^{2} - x - 1$ |
$16$ |
[4,6] |
$5^{8}\cdot 19\cdot 29^{4}\cdot 31\cdot 149^{2}$ |
$5$ |
$14.4499049753$ |
$3567.260153114712$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$9$ |
$799.047694356$ |
| 16.0.521...125.1 |
$x^{16} - 4 x^{15} + 5 x^{14} + 4 x^{13} - 12 x^{12} - 6 x^{11} + 30 x^{10} - 9 x^{9} - 32 x^{8} + 23 x^{7} + 20 x^{6} - 27 x^{5} + 3 x^{4} + 7 x^{3} - 3 x + 1$ |
$16$ |
[0,8] |
$5^{8}\cdot 19\cdot 29^{4}\cdot 31\cdot 179^{2}$ |
$5$ |
$14.7850683456$ |
$3909.922633505681$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$7$ |
$496.717615828$ |
| 16.4.521...125.1 |
$x^{16} - 5 x^{15} + 9 x^{14} - 2 x^{13} - 23 x^{12} + 45 x^{11} - 23 x^{10} - 48 x^{9} + 111 x^{8} - 105 x^{7} + 20 x^{6} + 74 x^{5} - 100 x^{4} + 73 x^{3} - 34 x^{2} + 9 x - 1$ |
$16$ |
[4,6] |
$5^{8}\cdot 19\cdot 29^{4}\cdot 31\cdot 179^{2}$ |
$5$ |
$14.785068345558395$ |
$3909.922633505681$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$9$ |
$980.1897929379434$ |
| 16.2.780...000.1 |
$x^{16} - 4 x^{15} + 7 x^{14} - 4 x^{13} - 2 x^{12} + 8 x^{11} + 10 x^{10} - 36 x^{9} - 10 x^{8} + 34 x^{7} - 13 x^{6} - 28 x^{5} - x^{4} - 6 x^{2} - 4 x - 1$ |
$16$ |
[2,7] |
$-\,2^{16}\cdot 5^{8}\cdot 29^{4}\cdot 431$ |
$4$ |
$15.162448078153522$ |
|
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$8$ |
$800.1117582482893$ |
| 16.8.968...125.1 |
$x^{16} - 2 x^{15} - 3 x^{14} + 4 x^{13} + 15 x^{12} + 7 x^{11} - 59 x^{10} - 48 x^{9} + 99 x^{8} + 100 x^{7} - 63 x^{6} - 89 x^{5} + 3 x^{4} + 31 x^{3} + 7 x^{2} - 3 x - 1$ |
$16$ |
[8,4] |
$5^{8}\cdot 19^{2}\cdot 29^{4}\cdot 31^{2}\cdot 101$ |
$5$ |
$15.3680582987$ |
$2936.989104508221$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$11$ |
$2441.74607361$ |
| 16.8.968...125.2 |
$x^{16} - 4 x^{15} + 4 x^{14} + 6 x^{13} - 33 x^{12} + 38 x^{11} + 10 x^{10} - 84 x^{9} + 103 x^{8} + 14 x^{7} - 80 x^{6} + 22 x^{5} + 3 x^{4} - 7 x^{3} + 9 x^{2} - 1$ |
$16$ |
[8,4] |
$5^{8}\cdot 19^{2}\cdot 29^{4}\cdot 31^{2}\cdot 101$ |
$5$ |
$15.3680582987$ |
$2936.989104508221$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$11$ |
$2412.1613156$ |
| 16.4.104...125.1 |
$x^{16} - 3 x^{15} + 3 x^{14} - 7 x^{13} + 6 x^{12} - 9 x^{11} + 11 x^{10} - 8 x^{9} + 13 x^{8} - 8 x^{7} + 11 x^{6} - 9 x^{5} + 6 x^{4} - 7 x^{3} + 3 x^{2} - 3 x + 1$ |
$16$ |
[4,6] |
$5^{8}\cdot 19^{2}\cdot 29^{4}\cdot 31^{2}\cdot 109$ |
$5$ |
$15.441449648$ |
$3051.0891497955286$ |
|
|
✓ |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$9$ |
$1121.78363135$ |
| 16.8.104...125.1 |
$x^{16} - 2 x^{15} - 4 x^{14} + 10 x^{13} - x^{12} + 2 x^{10} - 51 x^{9} + 37 x^{8} + 75 x^{7} - 59 x^{6} - 38 x^{5} + 25 x^{4} + x^{3} - x^{2} + 5 x + 1$ |
$16$ |
[8,4] |
$5^{8}\cdot 19^{2}\cdot 29^{4}\cdot 31^{2}\cdot 109$ |
$5$ |
$15.441449648$ |
$3051.0891497955286$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$11$ |
$2540.02214256$ |
| 16.4.109...125.1 |
$x^{16} - x^{15} - 3 x^{14} + x^{13} + 5 x^{12} + 5 x^{11} - 6 x^{10} - 5 x^{9} - 4 x^{8} + x^{7} + 21 x^{6} - 13 x^{5} - 16 x^{4} + 16 x^{3} - 4 x + 1$ |
$16$ |
[4,6] |
$3^{4}\cdot 5^{8}\cdot 11^{4}\cdot 41^{2}\cdot 59\cdot 239$ |
$6$ |
$15.4895781005$ |
$9766.947578440257$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$9$ |
$1514.71437745$ |
| 16.6.131...000.1 |
$x^{16} - 2 x^{14} - 2 x^{12} + 6 x^{10} - 6 x^{8} - 8 x^{6} + 7 x^{4} + 4 x^{2} - 1$ |
$16$ |
[6,5] |
$-\,2^{8}\cdot 5^{8}\cdot 29^{4}\cdot 431^{2}$ |
$4$ |
$15.6642338569$ |
$916.9673623093105$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$10$ |
$2018.51175189$ |
| 16.8.142...125.1 |
$x^{16} - x^{15} - 6 x^{14} + 4 x^{13} + 4 x^{12} + 2 x^{11} - 15 x^{9} + 40 x^{8} + 5 x^{7} - 75 x^{6} + 16 x^{5} + 41 x^{4} - 12 x^{3} - 4 x^{2} + 2 x - 1$ |
$16$ |
[8,4] |
$5^{8}\cdot 19^{2}\cdot 29^{4}\cdot 31^{2}\cdot 149$ |
$5$ |
$15.7461018144$ |
$3567.260153114712$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$11$ |
$2967.11684609$ |
| 16.10.171...875.1 |
$x^{16} - 4 x^{15} + 2 x^{14} + 11 x^{13} - 22 x^{12} + 31 x^{11} - 39 x^{10} - 30 x^{9} + 189 x^{8} - 211 x^{7} - 4 x^{6} + 166 x^{5} - 112 x^{4} + 3 x^{3} + 28 x^{2} - 11 x + 1$ |
$16$ |
[10,3] |
$-\,5^{8}\cdot 19^{2}\cdot 29^{4}\cdot 31^{2}\cdot 179$ |
$5$ |
$15.927669223$ |
$3909.922633505681$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$12$ |
$4615.91677539$ |
| 16.6.171...875.1 |
$x^{16} - 3 x^{15} + 8 x^{13} - 14 x^{12} + 20 x^{11} - 22 x^{10} + 20 x^{9} - 19 x^{8} + 20 x^{7} - 22 x^{6} + 20 x^{5} - 14 x^{4} + 8 x^{3} - 3 x + 1$ |
$16$ |
[6,5] |
$-\,5^{8}\cdot 19^{2}\cdot 29^{4}\cdot 31^{2}\cdot 179$ |
$5$ |
$15.927669223$ |
$3909.922633505681$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$10$ |
$2339.14614502$ |
| 16.6.196...000.1 |
$x^{16} - 4 x^{14} + 9 x^{12} - 26 x^{10} + 48 x^{8} - 37 x^{6} + 9 x^{4} + 2 x^{2} - 1$ |
$16$ |
[6,5] |
$-\,2^{16}\cdot 5^{8}\cdot 11^{4}\cdot 229^{2}$ |
$4$ |
$16.0635897614$ |
|
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$10$ |
$2586.00461228$ |
| 16.2.196...000.1 |
$x^{16} + 6 x^{14} + 11 x^{12} + x^{10} - 35 x^{8} - 58 x^{6} - 36 x^{4} - 10 x^{2} - 1$ |
$16$ |
[2,7] |
$-\,2^{16}\cdot 5^{8}\cdot 11^{4}\cdot 229^{2}$ |
$4$ |
$16.063589761385508$ |
|
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$8$ |
$1183.8757926570543$ |
| 16.2.196...000.2 |
$x^{16} + 3 x^{14} - 2 x^{12} - 10 x^{10} - 2 x^{8} + 3 x^{6} - 5 x^{4} - 6 x^{2} - 1$ |
$16$ |
[2,7] |
$-\,2^{16}\cdot 5^{8}\cdot 11^{4}\cdot 229^{2}$ |
$4$ |
$16.063589761385508$ |
|
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$8$ |
$1293.1205066511714$ |
