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 |
16.14.158...000.1 |
$x^{16} - 4 x^{15} - 12 x^{14} + 70 x^{13} - 25 x^{12} - 262 x^{11} + 290 x^{10} + 326 x^{9} - 604 x^{8} - 50 x^{7} + 490 x^{6} - 146 x^{5} - 152 x^{4} + 76 x^{3} + 12 x^{2} - 10 x + 1$ |
$16$ |
[14,1] |
$-\,2^{24}\cdot 3^{8}\cdot 5^{12}\cdot 59$ |
$4$ |
$21.1354439607$ |
|
|
|
? |
$C_2\wr (C_2\times C_4)$ (as 16T1379) |
trivial |
$2$ |
$14$ |
$113419.378265$ |
16.14.236...528.1 |
$x^{16} - 4 x^{15} - 8 x^{14} + 48 x^{13} + 4 x^{12} - 208 x^{11} + 106 x^{10} + 400 x^{9} - 290 x^{8} - 348 x^{7} + 202 x^{6} + 192 x^{5} + 33 x^{4} - 152 x^{3} - 2 x^{2} + 28 x - 1$ |
$16$ |
[14,1] |
$-\,2^{32}\cdot 223^{5}$ |
$2$ |
$21.6723128358$ |
|
|
|
? |
$C_{2440}.D_6$ (as 16T1759) |
trivial |
$2$ |
$14$ |
$143953.377239$ |
16.14.285...375.1 |
$x^{16} - x^{15} - 13 x^{14} + 7 x^{13} + 79 x^{12} - 24 x^{11} - 271 x^{10} + 83 x^{9} + 503 x^{8} - 192 x^{7} - 472 x^{6} + 211 x^{5} + 201 x^{4} - 101 x^{3} - 27 x^{2} + 16 x - 1$ |
$16$ |
[14,1] |
$-\,5^{8}\cdot 19^{2}\cdot 29^{4}\cdot 31^{5}$ |
$4$ |
$21.9270007311$ |
$292.24133862272123$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$14$ |
$154117.78401$ |
16.14.405...875.1 |
$x^{16} - 2 x^{15} - 17 x^{14} + 23 x^{13} + 112 x^{12} - 86 x^{11} - 375 x^{10} + 127 x^{9} + 675 x^{8} - 62 x^{7} - 640 x^{6} + 3 x^{5} + 293 x^{4} - 8 x^{3} - 50 x^{2} + 4 x + 1$ |
$16$ |
[14,1] |
$-\,5^{8}\cdot 29^{4}\cdot 379\cdot 6221^{2}$ |
$4$ |
$22.4120703714$ |
$18489.863574402058$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$14$ |
$202570.10593$ |
16.14.481...000.1 |
$x^{16} - 6 x^{15} - 2 x^{14} + 76 x^{13} - 118 x^{12} - 194 x^{11} + 618 x^{10} - 346 x^{9} - 266 x^{8} + 350 x^{7} - 216 x^{6} + 62 x^{5} + 123 x^{4} - 70 x^{3} - 20 x^{2} + 8 x + 1$ |
$16$ |
[14,1] |
$-\,2^{24}\cdot 3^{8}\cdot 5^{12}\cdot 179$ |
$4$ |
$22.6535588309$ |
|
|
|
? |
$C_2\wr (C_2\times C_4)$ (as 16T1379) |
trivial |
$2$ |
$14$ |
$205339.151919$ |
16.14.522...016.1 |
$x^{16} - 10 x^{14} + 35 x^{12} - 40 x^{10} - 39 x^{8} + 128 x^{6} - 93 x^{4} + 18 x^{2} - 1$ |
$16$ |
[14,1] |
$-\,2^{40}\cdot 41^{6}$ |
$2$ |
$22.7703095907$ |
|
|
|
✓ |
$C_2\wr D_4.C_4$ (as 16T1722) |
trivial |
$2$ |
$14$ |
$218456.314308$ |
16.14.522...016.2 |
$x^{16} - 12 x^{14} + 56 x^{12} - 126 x^{10} + 132 x^{8} - 36 x^{6} - 33 x^{4} + 18 x^{2} - 1$ |
$16$ |
[14,1] |
$-\,2^{40}\cdot 41^{6}$ |
$2$ |
$22.7703095907$ |
|
|
|
✓ |
$C_2\wr D_4.C_4$ (as 16T1722) |
trivial |
$2$ |
$14$ |
$214462.903543$ |
16.14.841...000.1 |
$x^{16} - 7 x^{14} - 24 x^{12} + 314 x^{10} - 951 x^{8} + 1292 x^{6} - 856 x^{4} + 261 x^{2} - 29$ |
$16$ |
[14,1] |
$-\,2^{8}\cdot 3^{8}\cdot 5^{12}\cdot 29^{5}$ |
$4$ |
$23.4586222953$ |
$265.47147993354247$ |
|
|
? |
$C_2^2\wr C_2^2.C_4$ (as 16T1616) |
trivial |
$2$ |
$14$ |
$298908.305563$ |
16.14.110...944.1 |
$x^{16} - 11 x^{14} + 37 x^{12} - 38 x^{10} - 25 x^{8} + 70 x^{6} - 46 x^{4} + 12 x^{2} - 1$ |
$16$ |
[14,1] |
$-\,2^{16}\cdot 17^{14}$ |
$2$ |
$23.8601297973$ |
|
|
|
✓ |
$C_2\wr C_8$ (as 16T1351) |
trivial |
$2$ |
$14$ |
$324330.664382$ |
16.14.122...000.1 |
$x^{16} - 10 x^{14} + 33 x^{12} - 28 x^{10} - 63 x^{8} + 148 x^{6} - 105 x^{4} + 26 x^{2} - 1$ |
$16$ |
[14,1] |
$-\,2^{40}\cdot 5^{8}\cdot 13^{4}$ |
$3$ |
$24.0184971236$ |
|
|
|
? |
$C_2\wr D_4.C_2$ (as 16T1577) |
trivial |
$2$ |
$14$ |
$348265.291265$ |
16.14.122...000.2 |
$x^{16} - 10 x^{14} + 35 x^{12} - 40 x^{10} - 41 x^{8} + 140 x^{6} - 115 x^{4} + 30 x^{2} - 1$ |
$16$ |
[14,1] |
$-\,2^{40}\cdot 5^{8}\cdot 13^{4}$ |
$3$ |
$24.0184971236$ |
|
|
|
✓ |
$C_2\wr D_4.C_2$ (as 16T1577) |
trivial |
$2$ |
$14$ |
$338685.422465$ |
16.14.128...000.1 |
$x^{16} - 7 x^{14} + 5 x^{12} + 70 x^{10} - 221 x^{8} + 264 x^{6} - 138 x^{4} + 28 x^{2} - 1$ |
$16$ |
[14,1] |
$-\,2^{16}\cdot 5^{8}\cdot 29^{8}$ |
$3$ |
$24.0831891576$ |
|
|
|
? |
$C_2\wr D_4$ (as 16T1461) |
trivial |
$2$ |
$14$ |
$361485.883211$ |
16.14.153...624.1 |
$x^{16} - 10 x^{14} + 28 x^{12} - x^{10} - 96 x^{8} + 133 x^{6} - 67 x^{4} + 14 x^{2} - 1$ |
$16$ |
[14,1] |
$-\,2^{16}\cdot 483345053^{2}$ |
$2$ |
$24.3535431835$ |
|
|
|
? |
$C_2^8.S_8$ (as 16T1948) |
trivial |
$2$ |
$14$ |
$399655.829246$ |
16.14.153...624.2 |
$x^{16} - 11 x^{14} + 40 x^{12} - 42 x^{10} - 56 x^{8} + 153 x^{6} - 105 x^{4} + 20 x^{2} - 1$ |
$16$ |
[14,1] |
$-\,2^{16}\cdot 483345053^{2}$ |
$2$ |
$24.3535431835$ |
|
|
|
✓ |
$C_2^8.S_8$ (as 16T1948) |
trivial |
$2$ |
$14$ |
$377563.050839$ |
16.14.272...456.1 |
$x^{16} - 10 x^{14} + 26 x^{12} + 26 x^{10} - 211 x^{8} + 330 x^{6} - 208 x^{4} + 48 x^{2} - 1$ |
$16$ |
[14,1] |
$-\,2^{16}\cdot 3^{4}\cdot 8461^{4}$ |
$3$ |
$25.2444395331$ |
$551.5906346729306$ |
|
|
|
$C_2\wr C_2^3.S_4$ (as 16T1848) |
trivial |
$2$ |
$14$ |
$809238.806259$ |
16.14.286...000.1 |
$x^{16} - 13 x^{14} + 62 x^{12} - 134 x^{10} + 120 x^{8} + x^{6} - 62 x^{4} + 25 x^{2} - 1$ |
$16$ |
[14,1] |
$-\,2^{16}\cdot 5^{8}\cdot 439^{2}\cdot 2411^{2}$ |
$4$ |
$25.3278143476$ |
|
|
|
? |
$C_2^6.S_4^2:D_4$ (as 16T1905) |
trivial |
$2$ |
$14$ |
$556230.228859$ |
16.14.286...000.2 |
$x^{16} - 12 x^{14} + 46 x^{12} - 54 x^{10} - 25 x^{8} + 89 x^{6} - 56 x^{4} + 13 x^{2} - 1$ |
$16$ |
[14,1] |
$-\,2^{16}\cdot 5^{8}\cdot 439^{2}\cdot 2411^{2}$ |
$4$ |
$25.3278143476$ |
|
|
|
? |
$C_2^6.S_4^2:D_4$ (as 16T1905) |
trivial |
$2$ |
$14$ |
$554855.854151$ |
16.14.288...896.1 |
$x^{16} - 15 x^{14} + 74 x^{12} - 154 x^{10} + 118 x^{8} + 26 x^{6} - 77 x^{4} + 32 x^{2} - 4$ |
$16$ |
[14,1] |
$-\,2^{18}\cdot 43^{2}\cdot 2777^{4}$ |
$3$ |
$25.3358962539$ |
$977.388356795803$ |
|
|
? |
$C_4^4.C_2\wr S_4$ (as 16T1879) |
trivial |
$2$ |
$14$ |
$951577.515771$ |
16.14.326...152.1 |
$x^{16} - 8 x^{15} + 18 x^{14} + 14 x^{13} - 104 x^{12} + 78 x^{11} + 166 x^{10} - 258 x^{9} - 37 x^{8} + 266 x^{7} - 119 x^{6} - 95 x^{5} + 93 x^{4} + 3 x^{3} - 19 x^{2} + x + 1$ |
$16$ |
[14,1] |
$-\,2^{4}\cdot 43^{2}\cdot 2777^{4}\cdot 18583$ |
$4$ |
$25.5361114423$ |
$94212.8359195285$ |
|
|
✓ |
$C_4^4.C_2\wr S_4$ (as 16T1879) |
trivial |
$2$ |
$14$ |
$714859.145567$ |
16.14.506...827.1 |
$x^{16} - 2 x^{15} - 14 x^{14} + 15 x^{13} + 104 x^{12} - 35 x^{11} - 420 x^{10} - 45 x^{9} + 899 x^{8} + 376 x^{7} - 925 x^{6} - 658 x^{5} + 280 x^{4} + 377 x^{3} + 109 x^{2} + 6 x - 1$ |
$16$ |
[14,1] |
$-\,17^{14}\cdot 67^{3}$ |
$2$ |
$26.2441089313$ |
$97.65178978680869$ |
|
|
? |
$C_2\wr C_8$ (as 16T1351) |
trivial |
$2$ |
$14$ |
$770386.28352$ |
16.14.109...875.1 |
$x^{16} - 8 x^{15} + 17 x^{14} + 21 x^{13} - 117 x^{12} + 65 x^{11} + 226 x^{10} - 272 x^{9} - 137 x^{8} + 321 x^{7} - 36 x^{6} - 152 x^{5} + 63 x^{4} + 27 x^{3} - 17 x^{2} - 2 x + 1$ |
$16$ |
[14,1] |
$-\,3^{12}\cdot 5^{12}\cdot 31\cdot 149^{2}\cdot 1229$ |
$5$ |
$27.5437981077$ |
$18160.105485747998$ |
|
|
✓ |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$14$ |
$1149549.14733$ |
16.14.110...000.1 |
$x^{16} - x^{15} - 21 x^{14} + 30 x^{13} + 161 x^{12} - 296 x^{11} - 504 x^{10} + 1221 x^{9} + 409 x^{8} - 2037 x^{7} + 487 x^{6} + 1223 x^{5} - 639 x^{4} - 177 x^{3} + 167 x^{2} - 24 x - 1$ |
$16$ |
[14,1] |
$-\,2^{8}\cdot 5^{10}\cdot 29^{4}\cdot 89^{4}$ |
$4$ |
$27.5624774614$ |
$623.0928207981851$ |
|
|
? |
$C_2^2.C_2^2\wr D_4$ (as 16T1719) |
trivial |
$2$ |
$14$ |
$1192067.44429$ |
16.14.112...856.1 |
$x^{16} - 5 x^{14} - 14 x^{12} + 128 x^{10} - 277 x^{8} + 256 x^{6} - 108 x^{4} + 19 x^{2} - 1$ |
$16$ |
[14,1] |
$-\,2^{20}\cdot 18097^{4}$ |
$2$ |
$27.5860259988$ |
|
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1848) |
trivial |
$2$ |
$14$ |
$1432171.45682$ |
16.14.130...344.1 |
$x^{16} - 12 x^{14} + 50 x^{12} - 80 x^{10} + 13 x^{8} + 88 x^{6} - 78 x^{4} + 20 x^{2} - 1$ |
$16$ |
[14,1] |
$-\,2^{60}\cdot 337^{2}$ |
$2$ |
$27.8494242635$ |
|
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$14$ |
$1412031.2336$ |
16.14.143...224.1 |
$x^{16} - 12 x^{14} + 50 x^{12} - 72 x^{10} - 55 x^{8} + 276 x^{6} - 284 x^{4} + 96 x^{2} - 1$ |
$16$ |
[14,1] |
$-\,2^{36}\cdot 113^{6}$ |
$2$ |
$28.0041184897$ |
|
|
|
|
$C_2\wr D_8$ (as 16T1638) |
trivial |
$2$ |
$14$ |
$1982430.73391$ |
16.14.143...224.2 |
$x^{16} - 14 x^{14} + 71 x^{12} - 154 x^{10} + 112 x^{8} + 54 x^{6} - 87 x^{4} + 22 x^{2} - 1$ |
$16$ |
[14,1] |
$-\,2^{36}\cdot 113^{6}$ |
$2$ |
$28.0041184897$ |
|
|
|
|
$C_2\wr D_8$ (as 16T1638) |
trivial |
$2$ |
$14$ |
$2034623.51681$ |
16.14.170...375.1 |
$x^{16} - 2 x^{15} - 19 x^{14} + 26 x^{13} + 130 x^{12} - 67 x^{11} - 463 x^{10} - 207 x^{9} + 1033 x^{8} + 924 x^{7} - 1394 x^{6} - 803 x^{5} + 937 x^{4} + 5 x^{3} - 100 x^{2} + 19 x - 1$ |
$16$ |
[14,1] |
$-\,5^{8}\cdot 19^{4}\cdot 31^{3}\cdot 103^{4}$ |
$4$ |
$28.314769215$ |
$550.7585677953634$ |
|
|
? |
$C_{2440}.D_6$ (as 16T1759) |
trivial |
$2$ |
$14$ |
$1497538.20772$ |
16.14.204...000.1 |
$x^{16} - 16 x^{14} + 97 x^{12} - 268 x^{10} + 277 x^{8} + 152 x^{6} - 500 x^{4} + 272 x^{2} - 16$ |
$16$ |
[14,1] |
$-\,2^{20}\cdot 5^{8}\cdot 29^{8}$ |
$3$ |
$28.6398998982$ |
|
|
|
? |
$C_2\wr D_4$ (as 16T1461) |
trivial |
$2$ |
$14$ |
$1518846.13172$ |
16.14.210...000.1 |
$x^{16} - x^{15} - 24 x^{14} + 46 x^{13} + 173 x^{12} - 506 x^{11} - 236 x^{10} + 1853 x^{9} - 1192 x^{8} - 1736 x^{7} + 2296 x^{6} - 177 x^{5} - 847 x^{4} + 373 x^{3} - 6 x^{2} - 17 x + 1$ |
$16$ |
[14,1] |
$-\,2^{8}\cdot 3^{8}\cdot 5^{14}\cdot 29^{5}$ |
$4$ |
$28.6862483069$ |
$324.6303510881772$ |
|
|
? |
$C_2^2\wr C_2^2.C_4$ (as 16T1616) |
trivial |
$2$ |
$14$ |
$1622611.50407$ |
16.14.242...152.1 |
$x^{16} - 8 x^{14} + 12 x^{12} + 40 x^{10} - 150 x^{8} + 184 x^{6} - 100 x^{4} + 24 x^{2} - 2$ |
$16$ |
[14,1] |
$-\,2^{65}\cdot 3^{8}$ |
$2$ |
$28.939763970822533$ |
$51.93845702688316$ |
|
|
✓ |
$C_2\wr (C_2\times C_4)$ (as 16T1379) |
trivial |
$2$ |
$14$ |
$3018979.47410942$ |
16.14.242...152.2 |
$x^{16} - 16 x^{14} + 88 x^{12} - 216 x^{10} + 238 x^{8} - 80 x^{6} - 36 x^{4} + 24 x^{2} - 2$ |
$16$ |
[14,1] |
$-\,2^{65}\cdot 3^{8}$ |
$2$ |
$28.939763970822533$ |
$51.93845702688316$ |
|
|
? |
$C_2\wr (C_2\times C_4)$ (as 16T1379) |
trivial |
$2$ |
$14$ |
$2985472.6763313087$ |
16.14.248...000.1 |
$x^{16} - 14 x^{14} + 73 x^{12} - 180 x^{10} + 217 x^{8} - 112 x^{6} + 9 x^{4} + 6 x^{2} - 1$ |
$16$ |
[14,1] |
$-\,2^{40}\cdot 5^{8}\cdot 761^{2}$ |
$3$ |
$28.9889892643$ |
|
|
|
✓ |
$C_4^4.C_2\wr C_2^2$ (as 16T1769) |
trivial |
$2$ |
$14$ |
$2017393.61315$ |
16.14.248...000.2 |
$x^{16} - 14 x^{14} + 55 x^{12} - 56 x^{10} - 87 x^{8} + 196 x^{6} - 103 x^{4} + 18 x^{2} - 1$ |
$16$ |
[14,1] |
$-\,2^{40}\cdot 5^{8}\cdot 761^{2}$ |
$3$ |
$28.9889892643$ |
|
|
|
|
$C_4^4.C_2\wr C_2^2$ (as 16T1769) |
trivial |
$2$ |
$14$ |
$2297888.613$ |
16.14.302...544.1 |
$x^{16} - 8 x^{14} + 4 x^{12} + 88 x^{10} - 254 x^{8} + 280 x^{6} - 132 x^{4} + 24 x^{2} - 1$ |
$16$ |
[14,1] |
$-\,2^{78}$ |
$1$ |
$29.34412938254948$ |
$49.38416331817612$ |
|
|
? |
$C_2\wr C_8$ (as 16T1351) |
trivial |
$2$ |
$14$ |
$3346536.971688263$ |
16.14.303...000.1 |
$x^{16} - 12 x^{14} + 40 x^{12} - 10 x^{10} - 126 x^{8} + 184 x^{6} - 93 x^{4} + 18 x^{2} - 1$ |
$16$ |
[14,1] |
$-\,2^{40}\cdot 5^{8}\cdot 29^{4}$ |
$3$ |
$29.3534728634$ |
|
|
|
? |
$C_2^6.D_4^2$ (as 16T1590) |
trivial |
$2$ |
$14$ |
$1954065.77746$ |
16.14.303...000.2 |
$x^{16} - 10 x^{14} + 11 x^{12} + 104 x^{10} - 287 x^{8} + 272 x^{6} - 109 x^{4} + 18 x^{2} - 1$ |
$16$ |
[14,1] |
$-\,2^{40}\cdot 5^{8}\cdot 29^{4}$ |
$3$ |
$29.3534728634$ |
|
|
|
? |
$C_2^6.D_4^2$ (as 16T1590) |
trivial |
$2$ |
$14$ |
$2055700.31792$ |
16.14.394...000.1 |
$x^{16} - 4 x^{15} - 6 x^{14} + 51 x^{13} - 73 x^{12} - 120 x^{11} + 632 x^{10} - 657 x^{9} - 978 x^{8} + 2624 x^{7} - 1454 x^{6} - 1075 x^{5} + 1804 x^{4} - 959 x^{3} + 238 x^{2} - 26 x + 1$ |
$16$ |
[14,1] |
$-\,2^{8}\cdot 5^{8}\cdot 29^{4}\cdot 89^{5}$ |
$4$ |
$29.8389733486$ |
$1279.8460958396793$ |
|
|
? |
$C_2^2.C_2^2\wr D_4$ (as 16T1719) |
trivial |
$2$ |
$14$ |
$2213010.52456$ |
16.14.434...000.1 |
$x^{16} - 7 x^{14} - x^{12} + 117 x^{10} - 343 x^{8} + 384 x^{6} - 181 x^{4} + 30 x^{2} - 1$ |
$16$ |
[14,1] |
$-\,2^{16}\cdot 5^{8}\cdot 13^{4}\cdot 29^{6}$ |
$4$ |
$30.0192671061$ |
|
|
|
? |
$C_2\wr D_4.D_4$ (as 16T1775) |
trivial |
$2$ |
$14$ |
$2674022.50951$ |
16.14.434...000.2 |
$x^{16} - 15 x^{14} + 84 x^{12} - 218 x^{10} + 258 x^{8} - 101 x^{6} - 26 x^{4} + 19 x^{2} - 1$ |
$16$ |
[14,1] |
$-\,2^{16}\cdot 5^{8}\cdot 13^{4}\cdot 29^{6}$ |
$4$ |
$30.0192671061$ |
|
|
|
? |
$C_2\wr D_4.D_4$ (as 16T1775) |
trivial |
$2$ |
$14$ |
$2431843.45041$ |
16.14.585...000.1 |
$x^{16} - 4 x^{15} - 16 x^{14} + 74 x^{13} + 51 x^{12} - 454 x^{11} + 240 x^{10} + 1142 x^{9} - 1240 x^{8} - 868 x^{7} + 1356 x^{6} + 106 x^{5} - 513 x^{4} + 78 x^{3} + 60 x^{2} - 18 x + 1$ |
$16$ |
[14,1] |
$-\,2^{28}\cdot 5^{8}\cdot 89^{5}$ |
$3$ |
$30.5824216416$ |
|
|
|
|
$C_2^7.C_2\wr D_4$ (as 16T1778) |
trivial |
$2$ |
$14$ |
$4982985.40898$ |
16.14.585...000.2 |
$x^{16} - 18 x^{14} + 112 x^{12} - 244 x^{10} - 169 x^{8} + 1472 x^{6} - 2014 x^{4} + 890 x^{2} - 89$ |
$16$ |
[14,1] |
$-\,2^{28}\cdot 5^{8}\cdot 89^{5}$ |
$3$ |
$30.5824216416$ |
|
|
|
? |
$C_2^7.C_2\wr D_4$ (as 16T1778) |
trivial |
$2$ |
$14$ |
$3528147.74875$ |
16.14.604...088.1 |
$x^{16} - 16 x^{14} + 96 x^{12} - 272 x^{10} + 376 x^{8} - 224 x^{6} + 24 x^{4} + 16 x^{2} - 2$ |
$16$ |
[14,1] |
$-\,2^{79}$ |
$1$ |
$30.64330498235436$ |
$51.57058702028492$ |
|
|
? |
$C_2\wr C_8$ (as 16T1351) |
trivial |
$2$ |
$14$ |
$5177779.094563729$ |
16.14.637...000.1 |
$x^{16} - 20 x^{14} + 120 x^{12} - 180 x^{10} - 610 x^{8} + 2260 x^{6} - 2280 x^{4} + 820 x^{2} - 95$ |
$16$ |
[14,1] |
$-\,2^{40}\cdot 5^{15}\cdot 19$ |
$3$ |
$30.745493495$ |
|
|
|
? |
$C_2\wr \OD_{16}$ (as 16T1604) |
trivial |
$2$ |
$14$ |
$4398095.22028$ |
16.14.637...000.2 |
$x^{16} - 20 x^{14} - 20 x^{13} + 140 x^{12} + 280 x^{11} - 280 x^{10} - 1220 x^{9} - 570 x^{8} + 1600 x^{7} + 1820 x^{6} - 340 x^{5} - 1220 x^{4} - 360 x^{3} + 120 x^{2} + 60 x + 5$ |
$16$ |
[14,1] |
$-\,2^{40}\cdot 5^{15}\cdot 19$ |
$3$ |
$30.745493495$ |
|
|
|
? |
$C_2\wr \OD_{16}$ (as 16T1604) |
trivial |
$2$ |
$14$ |
$4220912.57139$ |
16.14.715...000.1 |
$x^{16} - x^{15} - 21 x^{14} + 14 x^{13} + 153 x^{12} - 3 x^{11} - 561 x^{10} - 265 x^{9} + 964 x^{8} + 660 x^{7} - 753 x^{6} - 561 x^{5} + 227 x^{4} + 168 x^{3} - 12 x^{2} - 14 x - 1$ |
$16$ |
[14,1] |
$-\,2^{4}\cdot 5^{9}\cdot 7^{8}\cdot 251^{4}$ |
$4$ |
$30.9667463453$ |
$548.287128822242$ |
|
|
? |
$C_2\wr C_2^3.A_4$ (as 16T1806) |
trivial |
$2$ |
$14$ |
$4952270.5458$ |
16.14.734...776.1 |
$x^{16} - 6 x^{15} + 6 x^{14} + 38 x^{13} - 133 x^{12} + 54 x^{11} + 524 x^{10} - 688 x^{9} - 796 x^{8} + 1336 x^{7} + 514 x^{6} - 984 x^{5} - 146 x^{4} + 306 x^{3} + 12 x^{2} - 34 x + 1$ |
$16$ |
[14,1] |
$-\,2^{24}\cdot 3\cdot 37\cdot 4457^{4}$ |
$4$ |
$31.0197532031$ |
|
|
|
? |
$C_2\wr C_2^3.\GL(3,2)$ (as 16T1916) |
trivial |
$2$ |
$14$ |
$6482255.28861$ |
16.14.734...776.2 |
$x^{16} - 22 x^{14} - 2 x^{13} + 190 x^{12} + 30 x^{11} - 834 x^{10} - 148 x^{9} + 2015 x^{8} + 278 x^{7} - 2670 x^{6} - 92 x^{5} + 1742 x^{4} - 194 x^{3} - 388 x^{2} + 94 x + 1$ |
$16$ |
[14,1] |
$-\,2^{24}\cdot 3\cdot 37\cdot 4457^{4}$ |
$4$ |
$31.0197532031$ |
$2579.966389949216$ |
|
|
|
$C_2\wr C_2^3.\GL(3,2)$ (as 16T1916) |
trivial |
$2$ |
$14$ |
$7012404.18887$ |
16.14.907...304.1 |
$x^{16} - 18 x^{14} + 115 x^{12} - 342 x^{10} + 505 x^{8} - 352 x^{6} + 88 x^{4} + 8 x^{2} - 4$ |
$16$ |
[14,1] |
$-\,2^{46}\cdot 337^{4}$ |
$2$ |
$31.431760943$ |
|
|
|
? |
$C_2^8.C_2\wr C_4$ (as 16T1776) |
trivial |
$2$ |
$14$ |
$7460311.75721$ |
16.14.101...000.1 |
$x^{16} - 2 x^{15} - 21 x^{14} + 27 x^{13} + 176 x^{12} - 130 x^{11} - 725 x^{10} + 325 x^{9} + 1615 x^{8} - 565 x^{7} - 2175 x^{6} + 485 x^{5} + 1620 x^{4} - 75 x^{3} - 425 x^{2} + 25 x + 25$ |
$16$ |
[14,1] |
$-\,2^{8}\cdot 3^{8}\cdot 5^{13}\cdot 149^{4}$ |
$4$ |
$31.6435588159$ |
$317.090884359728$ |
|
|
? |
$C_2^2\wr C_2^2.D_4$ (as 16T1726) |
trivial |
$2$ |
$14$ |
$6146231.92327$ |
16.14.101...000.2 |
$x^{16} - 23 x^{14} + 174 x^{12} - 477 x^{10} + 51 x^{8} + 1825 x^{6} - 2800 x^{4} + 1375 x^{2} - 125$ |
$16$ |
[14,1] |
$-\,2^{8}\cdot 3^{8}\cdot 5^{13}\cdot 149^{4}$ |
$4$ |
$31.6435588159$ |
$317.090884359728$ |
|
|
? |
$C_2^2\wr C_2^2.D_4$ (as 16T1726) |
trivial |
$2$ |
$14$ |
$4865549.11093$ |