| 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 |
Unit signature rank |
| 16.4.154803089776953125.1 |
$x^{16} - x^{15} - x^{14} + 7 x^{13} - 14 x^{12} + 11 x^{11} + 5 x^{10} - 24 x^{9} + 33 x^{8} - 24 x^{7} + 5 x^{6} + 11 x^{5} - 14 x^{4} + 7 x^{3} - x^{2} - x + 1$ |
$16$ |
(4, 6) |
$5^{8}\cdot 29^{5}\cdot 139^{2}$ |
$3$ |
$11.8675542736$ |
$329.45105355393224$ |
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$9$ |
$126.475240523$ |
$4$ |
| 16.0.189...568.1 |
$x^{16} - x^{14} - 8 x^{12} + 6 x^{10} + 28 x^{8} - 5 x^{6} - 33 x^{4} + 13$ |
$16$ |
(0, 8) |
$2^{16}\cdot 3^{8}\cdot 13^{5}\cdot 109^{2}$ |
$4$ |
$13.8795770731$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$6$ |
$7$ |
$758.045490978$ |
$0$ |
| 16.0.189...568.2 |
$x^{16} - 4 x^{14} - x^{12} + 17 x^{10} - 33 x^{6} - 6 x^{4} + 26 x^{2} + 13$ |
$16$ |
(0, 8) |
$2^{16}\cdot 3^{8}\cdot 13^{5}\cdot 109^{2}$ |
$4$ |
$13.8795770731$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$6$ |
$7$ |
$832.649628794$ |
$0$ |
| 16.0.197...000.1 |
$x^{16} - 3 x^{15} + 7 x^{14} - 12 x^{13} + 24 x^{12} - 35 x^{11} + 45 x^{10} - 36 x^{9} + 35 x^{8} - 23 x^{7} + 25 x^{6} + 4 x^{4} + 4 x^{3} + 8 x^{2} + 4 x + 1$ |
$16$ |
(0, 8) |
$2^{8}\cdot 5^{8}\cdot 29^{5}\cdot 31^{2}$ |
$4$ |
$13.9129615872$ |
$440.05741269129504$ |
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$7$ |
$250.314054466$ |
$0$ |
| 16.0.197...000.2 |
$x^{16} - 2 x^{15} + x^{13} - 2 x^{12} + 7 x^{11} - 2 x^{9} + 4 x^{8} - 23 x^{7} + 16 x^{6} - 18 x^{5} + 29 x^{4} - 5 x^{3} + 26 x^{2} + 6 x + 11$ |
$16$ |
(0, 8) |
$2^{8}\cdot 5^{8}\cdot 29^{5}\cdot 31^{2}$ |
$4$ |
$13.9129615872$ |
$440.05741269129504$ |
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$7$ |
$309.442216748$ |
$0$ |
| 16.0.429...944.1 |
$x^{16} - 2 x^{15} + 3 x^{14} - 8 x^{13} + 8 x^{12} - 12 x^{11} + 26 x^{10} - 38 x^{9} + 63 x^{8} - 68 x^{7} + 71 x^{6} - 58 x^{5} + 45 x^{4} - 26 x^{3} + 14 x^{2} - 4 x + 1$ |
$16$ |
(0, 8) |
$2^{24}\cdot 41^{5}\cdot 47^{2}$ |
$3$ |
$14.606702400453292$ |
$314.1823725867904$ |
|
|
|
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$7$ |
$751.2054655331117$ |
$0$ |
| 16.4.641...125.1 |
$x^{16} - 6 x^{15} + 15 x^{14} - 22 x^{13} + 20 x^{12} - 17 x^{11} + 28 x^{10} - 31 x^{9} + 25 x^{8} + 5 x^{6} - 9 x^{5} - 12 x^{4} - 4 x^{3} - 6 x^{2} - 5 x - 1$ |
$16$ |
(4, 6) |
$5^{10}\cdot 29^{5}\cdot 179^{2}$ |
$3$ |
$14.9782907265$ |
$559.0524012045329$ |
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$9$ |
$1023.90331244$ |
$4$ |
| 16.8.641...125.1 |
$x^{16} - x^{15} - 8 x^{14} + 13 x^{13} + 12 x^{12} - 39 x^{11} + 14 x^{10} + 24 x^{9} + 14 x^{8} - 67 x^{7} + 46 x^{6} + 13 x^{5} - 48 x^{4} + 36 x^{3} - 7 x^{2} - 3 x + 1$ |
$16$ |
(8, 4) |
$5^{10}\cdot 29^{5}\cdot 179^{2}$ |
$3$ |
$14.9782907265$ |
$559.0524012045329$ |
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$11$ |
$1959.9073218$ |
$8$ |
| 16.4.103...864.1 |
$x^{16} - 4 x^{15} + 2 x^{14} + 2 x^{13} + 5 x^{12} - 18 x^{11} + 35 x^{10} - 38 x^{9} + 40 x^{8} - 58 x^{7} + 72 x^{6} - 78 x^{5} + 52 x^{4} - 24 x^{3} + 3 x^{2} + 2 x - 1$ |
$16$ |
(4, 6) |
$2^{24}\cdot 41^{5}\cdot 73^{2}$ |
$3$ |
$15.4331759049$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$9$ |
$1578.11472248$ |
$4$ |
| 16.4.153...136.1 |
$x^{16} - 2 x^{15} - 3 x^{14} + 14 x^{13} - 34 x^{11} + 17 x^{10} + 46 x^{9} - 49 x^{8} - 38 x^{7} + 92 x^{6} - 18 x^{5} - 72 x^{4} + 56 x^{3} - 8 x^{2} - 4 x + 1$ |
$16$ |
(4, 6) |
$2^{24}\cdot 41^{5}\cdot 89^{2}$ |
$3$ |
$15.8202630186$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$9$ |
$1930.09098487$ |
$4$ |
| 16.4.206...344.1 |
$x^{16} - 2 x^{15} + 3 x^{14} + 2 x^{13} - 3 x^{12} + 6 x^{11} - 8 x^{10} + 4 x^{9} - 7 x^{8} + 4 x^{7} - 8 x^{6} + 6 x^{5} - 3 x^{4} + 2 x^{3} + 3 x^{2} - 2 x + 1$ |
$16$ |
(4, 6) |
$2^{24}\cdot 41^{5}\cdot 103^{2}$ |
$3$ |
$16.1118200177$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$9$ |
$1939.85726755$ |
$4$ |
| 16.0.248...904.1 |
$x^{16} - 2 x^{15} - 3 x^{14} + 4 x^{13} + 11 x^{12} - 12 x^{11} - 13 x^{10} + 14 x^{9} + 24 x^{8} - 14 x^{7} - 13 x^{6} + 12 x^{5} + 11 x^{4} - 4 x^{3} - 3 x^{2} + 2 x + 1$ |
$16$ |
(0, 8) |
$2^{24}\cdot 41^{5}\cdot 113^{2}$ |
$3$ |
$16.2995177099$ |
$487.1605451349802$ |
|
|
|
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$7$ |
$1864.61996979$ |
$0$ |
| 16.0.248...904.2 |
$x^{16} - 2 x^{15} + 5 x^{14} - 8 x^{13} + 8 x^{12} - 14 x^{11} + 2 x^{9} - 11 x^{8} + 18 x^{7} + 32 x^{6} - 10 x^{5} + 56 x^{4} - 44 x^{3} + 19 x^{2} - 6 x + 1$ |
$16$ |
(0, 8) |
$2^{24}\cdot 41^{5}\cdot 113^{2}$ |
$3$ |
$16.2995177099$ |
$487.1605451349802$ |
|
|
|
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$7$ |
$1816.86387594$ |
$0$ |
| 16.0.333...088.1 |
$x^{16} - x^{14} - 8 x^{13} + 10 x^{11} + 24 x^{10} - 6 x^{9} - 33 x^{8} - 18 x^{7} + 25 x^{6} + 22 x^{5} - 3 x^{4} - 14 x^{3} - x^{2} + 2 x + 1$ |
$16$ |
(0, 8) |
$2^{16}\cdot 17^{5}\cdot 29^{2}\cdot 653^{2}$ |
$4$ |
$16.60386451680402$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$4$ |
$7$ |
$3074.0992840088143$ |
$0$ |
| 16.4.364...904.1 |
$x^{16} - 4 x^{15} + 8 x^{14} + 2 x^{13} - 40 x^{12} + 74 x^{11} - 39 x^{10} - 62 x^{9} + 119 x^{8} - 62 x^{7} - 39 x^{6} + 74 x^{5} - 40 x^{4} + 2 x^{3} + 8 x^{2} - 4 x + 1$ |
$16$ |
(4, 6) |
$2^{24}\cdot 41^{5}\cdot 137^{2}$ |
$3$ |
$16.6966759953$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$9$ |
$2489.10219586$ |
$4$ |
| 16.0.443...216.1 |
$x^{16} - 2 x^{15} + x^{14} + 10 x^{13} - 19 x^{12} + 6 x^{11} + 40 x^{10} - 52 x^{9} + 13 x^{8} + 68 x^{7} - 48 x^{6} + 2 x^{5} + 45 x^{4} - 14 x^{3} - x^{2} - 2 x + 1$ |
$16$ |
(0, 8) |
$2^{24}\cdot 41^{5}\cdot 151^{2}$ |
$3$ |
$16.900986977966856$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$7$ |
$2070.746929933707$ |
$0$ |
| 16.4.635...000.1 |
$x^{16} - 4 x^{14} + 14 x^{12} - 32 x^{10} + 55 x^{8} - 117 x^{6} + 171 x^{4} - 116 x^{2} + 29$ |
$16$ |
(4, 6) |
$2^{16}\cdot 5^{8}\cdot 11^{2}\cdot 29^{5}$ |
$4$ |
$17.2857591631$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$9$ |
$2879.5385907$ |
$4$ |
| 16.4.635...000.2 |
$x^{16} - 10 x^{14} + 49 x^{12} - 145 x^{10} + 280 x^{8} - 360 x^{6} + 302 x^{4} - 145 x^{2} + 29$ |
$16$ |
(4, 6) |
$2^{16}\cdot 5^{8}\cdot 11^{2}\cdot 29^{5}$ |
$4$ |
$17.2857591631$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$9$ |
$3729.96722569$ |
$4$ |
| 16.0.668...157.1 |
$x^{16} - 4 x^{15} + 14 x^{14} - 24 x^{13} + 43 x^{12} - 36 x^{11} + 53 x^{10} - 13 x^{9} + 55 x^{8} + 13 x^{7} + 53 x^{6} + 36 x^{5} + 43 x^{4} + 24 x^{3} + 14 x^{2} + 4 x + 1$ |
$16$ |
(0, 8) |
$3^{10}\cdot 13^{5}\cdot 55201^{2}$ |
$3$ |
$17.3400941005736$ |
$3666.670866859202$ |
|
|
✓ |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$6$ |
$7$ |
$8230.850156854547$ |
$0$ |
| 16.0.724...584.1 |
$x^{16} - 2 x^{15} + 7 x^{14} - 8 x^{13} + 20 x^{12} - 22 x^{11} + 34 x^{10} - 30 x^{9} + 41 x^{8} - 30 x^{7} + 34 x^{6} - 22 x^{5} + 20 x^{4} - 8 x^{3} + 7 x^{2} - 2 x + 1$ |
$16$ |
(0, 8) |
$2^{24}\cdot 41^{5}\cdot 193^{2}$ |
$3$ |
$17.4274807761$ |
$636.6658281441286$ |
|
|
|
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$7$ |
$2628.30222647$ |
$0$ |
| 16.4.986...125.1 |
$x^{16} - 3 x^{15} + 8 x^{13} - 12 x^{12} + 12 x^{11} - 9 x^{10} + 21 x^{9} - 46 x^{8} + 11 x^{7} + 104 x^{6} - 209 x^{5} + 191 x^{4} - 15 x^{3} - 140 x^{2} + 100 x - 25$ |
$16$ |
(4, 6) |
$5^{8}\cdot 11^{4}\cdot 29^{7}$ |
$3$ |
$17.767744381504606$ |
$257.1152073445264$ |
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
$[2]$ |
$2$ |
$9$ |
$5430.113632628893$ |
$3$ |
| 16.8.134...000.1 |
$x^{16} - 2 x^{15} - 6 x^{14} + 16 x^{13} + 15 x^{12} - 58 x^{11} - 16 x^{10} + 122 x^{9} - 36 x^{8} - 116 x^{7} + 132 x^{6} - 30 x^{5} - 84 x^{4} + 60 x^{3} + 10 x^{2} - 6 x - 1$ |
$16$ |
(8, 4) |
$2^{24}\cdot 5^{8}\cdot 29^{5}$ |
$3$ |
$18.1146259215$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$11$ |
$10398.5506929$ |
$8$ |
| 16.4.134...000.3 |
$x^{16} - 2 x^{15} - 6 x^{14} + 8 x^{13} + 26 x^{12} - 22 x^{11} - 48 x^{10} - 2 x^{9} + 120 x^{8} - 26 x^{7} - 130 x^{6} + 54 x^{5} + 61 x^{4} + 38 x^{3} - 178 x^{2} + 168 x - 61$ |
$16$ |
(4, 6) |
$2^{24}\cdot 5^{8}\cdot 29^{5}$ |
$3$ |
$18.114625921516847$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$9$ |
$4344.770040988535$ |
$4$ |
| 16.0.319...000.1 |
$x^{16} - 6 x^{15} + 20 x^{14} - 34 x^{13} + 33 x^{12} - 5 x^{11} - 6 x^{10} + 10 x^{9} + 55 x^{8} - 114 x^{7} + 136 x^{6} + 208 x^{5} - 53 x^{4} + 22 x^{3} + 230 x^{2} + 285 x + 179$ |
$16$ |
(0, 8) |
$2^{8}\cdot 5^{8}\cdot 29^{5}\cdot 1249^{2}$ |
$4$ |
$22.0835901846$ |
$2793.2493943736486$ |
✓ |
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
$[2]$ |
$[2]$ |
$2$ |
$7$ |
$4772.16997151$ |
$0$ |
| 16.0.795...000.1 |
$x^{16} - 2 x^{14} + 10 x^{12} + 64 x^{10} + 97 x^{8} + 360 x^{6} + 623 x^{4} + 319 x^{2} + 29$ |
$16$ |
(0, 8) |
$2^{8}\cdot 5^{8}\cdot 11^{2}\cdot 29^{5}\cdot 179^{2}$ |
$5$ |
$23.3765323521$ |
$3507.1258640213487$ |
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
$[2]$ |
$[2]$ |
$2$ |
$7$ |
$12033.3104177$ |
$0$ |
| 16.8.795...000.1 |
$x^{16} - x^{15} - 9 x^{14} - 4 x^{13} + x^{12} - 8 x^{11} - 15 x^{10} - 21 x^{9} + 28 x^{8} + 21 x^{7} - 15 x^{6} + 8 x^{5} + x^{4} + 4 x^{3} - 9 x^{2} + x + 1$ |
$16$ |
(8, 4) |
$2^{8}\cdot 5^{8}\cdot 11^{2}\cdot 29^{5}\cdot 179^{2}$ |
$5$ |
$23.3765323521$ |
$3507.1258640213487$ |
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
$[2]$ |
$2$ |
$11$ |
$90932.5301474$ |
$7$ |
| 16.4.822...125.1 |
$x^{16} - 2 x^{15} + 5 x^{14} - 4 x^{13} - 17 x^{12} + 58 x^{11} - 116 x^{10} + 147 x^{9} + 38 x^{8} - 268 x^{7} + 590 x^{6} - 690 x^{5} + 650 x^{4} - 497 x^{3} + 280 x^{2} - 113 x + 19$ |
$16$ |
(4, 6) |
$5^{8}\cdot 29^{5}\cdot 179^{4}$ |
$3$ |
$23.4259727767$ |
$1367.487212281942$ |
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
$[2]$ |
$2$ |
$9$ |
$38662.9934656$ |
$3$ |
| 16.8.822...125.1 |
$x^{16} - 3 x^{15} + x^{14} + 2 x^{13} - 23 x^{12} + 28 x^{11} + 78 x^{10} - 157 x^{9} - 21 x^{8} + 846 x^{7} - 1780 x^{6} + 1118 x^{5} + 960 x^{4} - 2349 x^{3} + 1508 x^{2} - 261 x - 29$ |
$16$ |
(8, 4) |
$5^{8}\cdot 29^{5}\cdot 179^{4}$ |
$3$ |
$23.4259727767$ |
$1367.487212281942$ |
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
$[2]$ |
$2$ |
$11$ |
$69895.9743321$ |
$7$ |
| 16.8.116...000.1 |
$x^{16} - 8 x^{14} + 17 x^{12} + x^{10} - 60 x^{8} + 86 x^{6} + 48 x^{4} - 145 x^{2} + 29$ |
$16$ |
(8, 4) |
$2^{16}\cdot 5^{8}\cdot 29^{5}\cdot 149^{2}$ |
$4$ |
$23.9421228961$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$11$ |
$133812.987452$ |
$8$ |
| 16.0.168...000.1 |
$x^{16} + 15 x^{14} + 81 x^{12} + 199 x^{10} + 263 x^{8} + 302 x^{6} + 346 x^{4} + 203 x^{2} + 29$ |
$16$ |
(0, 8) |
$2^{16}\cdot 5^{8}\cdot 29^{5}\cdot 179^{2}$ |
$4$ |
$24.4974568318$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$7$ |
$20629.2622773$ |
$0$ |
| 16.12.168...000.1 |
$x^{16} - 15 x^{14} + 81 x^{12} - 199 x^{10} + 263 x^{8} - 302 x^{6} + 346 x^{4} - 203 x^{2} + 29$ |
$16$ |
(12, 2) |
$2^{16}\cdot 5^{8}\cdot 29^{5}\cdot 179^{2}$ |
$4$ |
$24.4974568318$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$13$ |
$280594.975786$ |
$12$ |
| 16.4.168...000.1 |
$x^{16} - 4 x^{14} - 9 x^{12} + 21 x^{10} + 7 x^{8} + 28 x^{6} + 191 x^{4} + 145 x^{2} + 29$ |
$16$ |
(4, 6) |
$2^{16}\cdot 5^{8}\cdot 29^{5}\cdot 179^{2}$ |
$4$ |
$24.4974568318$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$9$ |
$50241.5734173$ |
$4$ |
| 16.8.168...000.1 |
$x^{16} + 4 x^{14} - 9 x^{12} - 21 x^{10} + 7 x^{8} - 28 x^{6} + 191 x^{4} - 145 x^{2} + 29$ |
$16$ |
(8, 4) |
$2^{16}\cdot 5^{8}\cdot 29^{5}\cdot 179^{2}$ |
$4$ |
$24.4974568318$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$11$ |
$129758.687245$ |
$8$ |
| 16.8.168...000.2 |
$x^{16} - 11 x^{14} + 47 x^{12} - 143 x^{10} + 197 x^{8} + 22 x^{6} - 230 x^{4} + 87 x^{2} + 29$ |
$16$ |
(8, 4) |
$2^{16}\cdot 5^{8}\cdot 29^{5}\cdot 179^{2}$ |
$4$ |
$24.4974568318$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$11$ |
$129078.946065$ |
$8$ |
| 16.4.168...000.2 |
$x^{16} + 11 x^{14} + 38 x^{12} - 15 x^{10} - 413 x^{8} - 922 x^{6} - 456 x^{4} + 406 x^{2} + 29$ |
$16$ |
(4, 6) |
$2^{16}\cdot 5^{8}\cdot 29^{5}\cdot 179^{2}$ |
$4$ |
$24.4974568318$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$9$ |
$47640.6315474$ |
$4$ |
| 16.0.168...000.2 |
$x^{16} + 13 x^{14} + 69 x^{12} + 197 x^{10} + 342 x^{8} + 394 x^{6} + 309 x^{4} + 145 x^{2} + 29$ |
$16$ |
(0, 8) |
$2^{16}\cdot 5^{8}\cdot 29^{5}\cdot 179^{2}$ |
$4$ |
$24.4974568318$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$7$ |
$20943.7562859$ |
$0$ |
| 16.12.168...000.2 |
$x^{16} - 13 x^{14} + 69 x^{12} - 197 x^{10} + 342 x^{8} - 394 x^{6} + 309 x^{4} - 145 x^{2} + 29$ |
$16$ |
(12, 2) |
$2^{16}\cdot 5^{8}\cdot 29^{5}\cdot 179^{2}$ |
$4$ |
$24.4974568318$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$13$ |
$293586.43923$ |
$12$ |
| 16.8.168...000.3 |
$x^{16} - 11 x^{14} + 38 x^{12} + 15 x^{10} - 413 x^{8} + 922 x^{6} - 456 x^{4} - 406 x^{2} + 29$ |
$16$ |
(8, 4) |
$2^{16}\cdot 5^{8}\cdot 29^{5}\cdot 179^{2}$ |
$4$ |
$24.4974568318$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$11$ |
$124813.137338$ |
$8$ |
| 16.8.235...125.1 |
$x^{16} - 2 x^{15} - 6 x^{14} + 9 x^{13} + 20 x^{12} - 4 x^{11} - 82 x^{10} - 9 x^{9} + 203 x^{8} - 35 x^{7} - 247 x^{6} + 70 x^{5} + 102 x^{4} - 88 x^{3} - 43 x^{2} + 9 x + 1$ |
$16$ |
(8, 4) |
$5^{8}\cdot 29^{5}\cdot 41^{2}\cdot 1321^{2}$ |
$4$ |
$25.0146949327$ |
$6503.195915262412$ |
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
$[2]$ |
$2$ |
$11$ |
$189608.344533$ |
$7$ |
| 16.4.326...856.1 |
$x^{16} - 8 x^{14} - 16 x^{13} - 26 x^{12} - 32 x^{11} - 20 x^{10} - 24 x^{9} - 59 x^{8} - 196 x^{6} - 648 x^{5} - 534 x^{4} - 608 x^{3} - 740 x^{2} - 400 x - 73$ |
$16$ |
(4, 6) |
$2^{48}\cdot 41^{5}$ |
$2$ |
$25.532006258688554$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$9$ |
$121376.61556712177$ |
$4$ |
| 16.4.326...856.2 |
$x^{16} - 8 x^{14} - 8 x^{13} - 32 x^{11} - 72 x^{10} + 56 x^{9} + 360 x^{8} + 384 x^{7} - 232 x^{6} - 808 x^{5} - 444 x^{4} + 320 x^{3} + 328 x^{2} - 56 x - 73$ |
$16$ |
(4, 6) |
$2^{48}\cdot 41^{5}$ |
$2$ |
$25.532006258688554$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$9$ |
$127214.06596460278$ |
$4$ |
| 16.4.326...856.3 |
$x^{16} - 4 x^{14} - 16 x^{13} - 28 x^{12} - 24 x^{11} - 44 x^{10} + 16 x^{8} + 240 x^{7} + 140 x^{6} + 128 x^{5} - 296 x^{4} - 40 x^{3} - 108 x^{2} + 160 x - 25$ |
$16$ |
(4, 6) |
$2^{48}\cdot 41^{5}$ |
$2$ |
$25.532006258688554$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$9$ |
$79957.1233255059$ |
$4$ |
| 16.4.326...856.4 |
$x^{16} + 4 x^{14} - 8 x^{13} - 16 x^{11} - 32 x^{10} - 72 x^{9} - 72 x^{8} - 32 x^{7} - 8 x^{6} + 112 x^{5} + 352 x^{4} + 448 x^{3} + 256 x^{2} + 48 x - 4$ |
$16$ |
(4, 6) |
$2^{48}\cdot 41^{5}$ |
$2$ |
$25.532006258688554$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$9$ |
$84327.65003813847$ |
$4$ |
| 16.8.114...125.1 |
$x^{16} - 2 x^{15} - 8 x^{14} + 29 x^{13} + 15 x^{12} - 111 x^{11} - 56 x^{10} + 292 x^{9} + 147 x^{8} - 464 x^{7} - 248 x^{6} + 324 x^{5} + 223 x^{4} - 61 x^{3} - 60 x^{2} - 3 x + 1$ |
$16$ |
(8, 4) |
$5^{8}\cdot 11^{2}\cdot 19^{2}\cdot 29^{5}\cdot 571^{2}$ |
$5$ |
$27.6110025331$ |
$9653.275429780328$ |
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
$[2]$ |
$2$ |
$11$ |
$486299.762217$ |
$7$ |
| 16.4.213...125.1 |
$x^{16} - 4 x^{15} + 4 x^{14} + 3 x^{13} - 17 x^{12} - 11 x^{11} + 54 x^{10} + 71 x^{9} - 12 x^{8} - 123 x^{7} - 43 x^{6} + 84 x^{5} + 50 x^{4} - 22 x^{3} - 14 x^{2} + x + 1$ |
$16$ |
(4, 6) |
$5^{5}\cdot 29^{8}\cdot 11681^{2}$ |
$3$ |
$28.7119129289$ |
$1946.1061010516312$ |
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$9$ |
$442283.982443$ |
$4$ |
| 16.0.316...176.1 |
$x^{16} - 2 x^{15} - 7 x^{14} + 30 x^{13} - 11 x^{12} - 136 x^{11} + 264 x^{10} + 40 x^{9} - 764 x^{8} + 812 x^{7} + 556 x^{6} - 1740 x^{5} + 687 x^{4} + 1478 x^{3} - 1389 x^{2} - 374 x + 967$ |
$16$ |
(0, 8) |
$2^{24}\cdot 41^{5}\cdot 113^{4}$ |
$3$ |
$29.4313077251$ |
$487.1605451349802$ |
|
|
|
$C_2\wr D_4.C_4$ (as 16T1702) |
$[2]$ |
$[2]$ |
$2$ |
$7$ |
$107104.426986$ |
$0$ |
| 16.0.316...176.2 |
$x^{16} + 8 x^{14} - 6 x^{13} + 55 x^{12} - 72 x^{11} + 203 x^{10} - 236 x^{9} + 331 x^{8} - 344 x^{7} + 583 x^{6} - 514 x^{5} + 985 x^{4} + 544 x^{3} + 1206 x^{2} + 328 x + 164$ |
$16$ |
(0, 8) |
$2^{24}\cdot 41^{5}\cdot 113^{4}$ |
$3$ |
$29.4313077251$ |
$487.1605451349802$ |
|
|
|
$C_2\wr D_4.C_4$ (as 16T1702) |
$[2]$ |
$[2]$ |
$2$ |
$7$ |
$94617.8905896$ |
$0$ |
| 16.4.684...176.2 |
$x^{16} - 2 x^{15} + 7 x^{14} - 10 x^{13} + 46 x^{12} + 8 x^{11} + 3 x^{10} + 134 x^{9} + 18 x^{8} + 874 x^{7} - 16 x^{6} - 1338 x^{5} - 372 x^{4} - 272 x^{3} + 35 x^{2} + 482 x + 113$ |
$16$ |
(4, 6) |
$2^{24}\cdot 41^{5}\cdot 137^{4}$ |
$3$ |
$30.8830433117$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
$[2]$ |
$[2]$ |
$2$ |
$9$ |
$170301.017912$ |
$4$ |
| 16.16.819...000.1 |
$x^{16} - 22 x^{14} + 187 x^{12} - 776 x^{10} + 1660 x^{8} - 1846 x^{6} + 1058 x^{4} - 290 x^{2} + 29$ |
$16$ |
(16, 0) |
$2^{16}\cdot 5^{8}\cdot 29^{5}\cdot 1249^{2}$ |
$4$ |
$31.230912745$ |
|
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
$[2, 2]$ |
$2$ |
$15$ |
$4867835.77353$ |
$14$ |
| 16.0.136...448.1 |
$x^{16} - 8 x^{14} + 16 x^{12} + 32 x^{8} + 64 x^{6} + 16 x^{4} - 16 x^{2} + 2$ |
$16$ |
(0, 8) |
$2^{77}\cdot 3^{2}$ |
$2$ |
$32.23643525553753$ |
$85.59379892603717$ |
|
|
? |
$C_2\wr D_4.C_4$ (as 16T1702) |
trivial |
trivial |
$2$ |
$7$ |
$587767.9665831694$ |
$0$ |
