| 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 |
| 16.0.123566310400000000.1 |
$x^{16} - 4 x^{15} + 7 x^{14} - 10 x^{13} + 18 x^{12} - 38 x^{11} + 71 x^{10} - 104 x^{9} + 119 x^{8} - 104 x^{7} + 71 x^{6} - 38 x^{5} + 18 x^{4} - 10 x^{3} + 7 x^{2} - 4 x + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{8}\cdot 13^{6}$ |
$3$ |
$11.701559761$ |
$16.1245154965971$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$4$ |
$7$ |
$158.994715534$ |
| 16.0.129356443496218624.1 |
$x^{16} - 8 x^{15} + 32 x^{14} - 84 x^{13} + 158 x^{12} - 220 x^{11} + 228 x^{10} - 172 x^{9} + 105 x^{8} - 92 x^{7} + 136 x^{6} - 172 x^{5} + 148 x^{4} - 84 x^{3} + 32 x^{2} - 8 x + 1$ |
$16$ |
[0,8] |
$2^{40}\cdot 7^{6}$ |
$2$ |
$11.7350989029$ |
$14.966629547095765$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$8$ |
$7$ |
$304.108541843$ |
| 16.4.429496729600000000.1 |
$x^{16} - 8 x^{14} - 4 x^{13} + 20 x^{12} + 8 x^{11} - 20 x^{10} - 24 x^{9} + 31 x^{8} + 32 x^{7} - 60 x^{6} + 8 x^{5} + 36 x^{4} - 24 x^{3} + 4 x - 1$ |
$16$ |
[4,6] |
$2^{40}\cdot 5^{8}$ |
$2$ |
$12.6491106407$ |
$13.793952964992862$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$2$ |
$9$ |
$270.295158834$ |
| 16.0.429496729600000000.1 |
$x^{16} + 8 x^{14} - 4 x^{13} + 26 x^{12} - 24 x^{11} + 44 x^{10} - 36 x^{9} + 38 x^{8} - 16 x^{7} - 8 x^{6} - 4 x^{5} + 26 x^{4} - 8 x^{3} + 4 x^{2} - 4 x + 1$ |
$16$ |
[0,8] |
$2^{40}\cdot 5^{8}$ |
$2$ |
$12.6491106407$ |
$13.793952964992862$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$2$ |
$7$ |
$168.646649401$ |
| 16.0.617921766400000000.1 |
$x^{16} - 4 x^{15} + 5 x^{14} + 6 x^{13} - 35 x^{12} + 64 x^{11} - 56 x^{10} - 18 x^{9} + 155 x^{8} - 294 x^{7} + 358 x^{6} - 320 x^{5} + 216 x^{4} - 106 x^{3} + 36 x^{2} - 8 x + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{8}\cdot 17^{6}$ |
$3$ |
$12.9399722014$ |
$18.439088914585774$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$4$ |
$7$ |
$397.295570985$ |
| 16.0.835308258304000000.1 |
$x^{16} - x^{14} - 6 x^{13} + x^{12} + 2 x^{11} + 4 x^{10} - 14 x^{9} + 39 x^{8} - 8 x^{7} + 6 x^{6} - 30 x^{5} + 58 x^{4} - 44 x^{3} + 20 x^{2} - 4 x + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{6}\cdot 13^{8}$ |
$3$ |
$13.1860714124$ |
$16.1245154965971$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$4$ |
$7$ |
$394.755548328$ |
| 16.0.125...000.1 |
$x^{16} - 2 x^{15} + 3 x^{14} - 10 x^{13} + 14 x^{12} - 12 x^{11} + 31 x^{10} - 32 x^{9} + 15 x^{8} - 32 x^{7} + 31 x^{6} - 12 x^{5} + 14 x^{4} - 10 x^{3} + 3 x^{2} - 2 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{14}\cdot 5^{6}$ |
$3$ |
$13.5250800122$ |
$16.539070313490214$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$6$ |
$7$ |
$1204.25709733$ |
| 16.0.515...264.1 |
$x^{16} - 2 x^{15} - 7 x^{14} + 16 x^{13} + 19 x^{12} - 52 x^{11} - 22 x^{10} + 74 x^{9} + 55 x^{8} - 96 x^{7} - 126 x^{6} + 216 x^{5} + 42 x^{4} - 270 x^{3} + 216 x^{2} - 72 x + 9$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{12}\cdot 23^{6}$ |
$3$ |
$14.774706937$ |
$21.864263602715052$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$12$ |
$7$ |
$2860.42925102$ |
| 16.0.525...944.1 |
$x^{16} - 4 x^{15} + 8 x^{14} - 12 x^{13} + 8 x^{12} + 4 x^{11} - 44 x^{10} + 108 x^{9} - 5 x^{8} - 156 x^{7} + 88 x^{6} + 68 x^{5} - 70 x^{4} + 20 x^{2} - 8 x + 1$ |
$16$ |
[0,8] |
$2^{40}\cdot 3^{14}$ |
$2$ |
$14.7929942022$ |
$16.131874566820663$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$6$ |
$7$ |
$2448.16044438$ |
| 16.0.525...944.2 |
$x^{16} - 8 x^{15} + 28 x^{14} - 56 x^{13} + 76 x^{12} - 68 x^{11} + 4 x^{10} + 112 x^{9} - 173 x^{8} + 84 x^{7} + 60 x^{6} - 96 x^{5} + 36 x^{4} + 12 x^{3} - 12 x^{2} + 3$ |
$16$ |
[0,8] |
$2^{40}\cdot 3^{14}$ |
$2$ |
$14.7929942022$ |
$16.131874566820663$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$6$ |
$7$ |
$3183.80345039$ |
| 16.4.633...576.1 |
$x^{16} - 4 x^{14} + 6 x^{12} - 24 x^{11} - 8 x^{10} + 36 x^{9} - 7 x^{8} + 60 x^{6} + 36 x^{5} + 20 x^{4} + 48 x^{3} + 40 x^{2} + 12 x + 1$ |
$16$ |
[4,6] |
$2^{40}\cdot 7^{8}$ |
$2$ |
$14.9666295471$ |
$14.966629547095765$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$2$ |
$9$ |
$1431.38958266$ |
| 16.0.976...625.1 |
$x^{16} - 6 x^{15} + 14 x^{14} - 12 x^{13} - 7 x^{12} + 15 x^{11} + 8 x^{10} - 15 x^{9} - 14 x^{8} + 15 x^{7} + 7 x^{6} + 8 x^{4} + 6 x^{3} + x^{2} - 3 x + 1$ |
$16$ |
[0,8] |
$3^{12}\cdot 5^{8}\cdot 19^{6}$ |
$3$ |
$15.3765372111$ |
$22.21788649167895$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$6$ |
$7$ |
$2145.51048665$ |
| 16.0.104...000.2 |
$x^{16} - 8 x^{15} + 26 x^{14} - 42 x^{13} + 31 x^{12} - 4 x^{11} - 21 x^{10} + 94 x^{9} - 133 x^{8} - 76 x^{7} + 259 x^{6} - 54 x^{5} - 154 x^{4} + 88 x^{3} + 21 x^{2} - 28 x + 16$ |
$16$ |
[0,8] |
$2^{18}\cdot 3^{8}\cdot 5^{14}$ |
$3$ |
$15.4460745379$ |
$20.031080424826147$ |
|
|
|
$D_8:C_2$ (as 16T38) |
$[2]$ |
$6$ |
$7$ |
$2786.74472862$ |
| 16.0.107...625.1 |
$x^{16} - 5 x^{15} + 13 x^{14} - 17 x^{13} + 10 x^{12} - 2 x^{11} + 22 x^{10} - 59 x^{9} + 79 x^{8} - 84 x^{7} + 117 x^{6} - 144 x^{5} + 120 x^{4} - 72 x^{3} + 54 x^{2} - 27 x + 9$ |
$16$ |
[0,8] |
$3^{14}\cdot 5^{8}\cdot 7^{8}$ |
$3$ |
$15.4708836522$ |
$15.470883652211068$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
$[2]$ |
$2$ |
$7$ |
$881.706230923$ |
| 16.4.107...625.1 |
$x^{16} - 7 x^{15} + 17 x^{14} - 15 x^{13} + 2 x^{12} + x^{11} - 26 x^{10} + 72 x^{9} - 44 x^{8} - 9 x^{7} - 2 x^{6} - 7 x^{5} + 44 x^{4} - 15 x^{3} - 31 x^{2} + 25 x - 5$ |
$16$ |
[4,6] |
$3^{14}\cdot 5^{8}\cdot 7^{8}$ |
$3$ |
$15.4708836522$ |
$15.470883652211068$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$2$ |
$9$ |
$1869.65262186$ |
| 16.0.151...176.1 |
$x^{16} - x^{15} - x^{14} + 8 x^{12} - 8 x^{11} + 7 x^{10} - 3 x^{9} + 25 x^{8} - 24 x^{7} + 16 x^{6} + 20 x^{5} + 20 x^{4} - 48 x^{3} + 32 x^{2} + 16 x + 16$ |
$16$ |
[0,8] |
$2^{12}\cdot 3^{12}\cdot 17^{8}$ |
$3$ |
$15.8065794454$ |
$18.7972967403308$ |
|
|
|
$D_8:C_2$ (as 16T38) |
trivial |
$6$ |
$7$ |
$6834.88091231$ |
| 16.0.175...000.1 |
$x^{16} + 4 x^{12} - 72 x^{10} + 206 x^{8} - 240 x^{6} + 124 x^{4} - 40 x^{2} + 25$ |
$16$ |
[0,8] |
$2^{50}\cdot 5^{6}$ |
$2$ |
$15.9526371865$ |
$19.507595361829473$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$8$ |
$7$ |
$6347.75447485$ |
| 16.0.180...984.1 |
$x^{16} - 8 x^{15} + 36 x^{14} - 112 x^{13} + 268 x^{12} - 516 x^{11} + 818 x^{10} - 1076 x^{9} + 1171 x^{8} - 1044 x^{7} + 766 x^{6} - 472 x^{5} + 252 x^{4} - 116 x^{3} + 44 x^{2} - 12 x + 2$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{6}\cdot 7^{8}$ |
$3$ |
$15.9782599296$ |
$18.33030277982336$ |
|
|
|
$D_8:C_2$ (as 16T38) |
trivial |
$4$ |
$7$ |
$7453.60013153$ |
| 16.0.298...024.1 |
$x^{16} - 3 x^{15} + 6 x^{14} - 9 x^{13} + 16 x^{12} - 15 x^{11} + 12 x^{10} - 27 x^{9} + 72 x^{8} - 93 x^{7} + 102 x^{6} - 39 x^{5} - 23 x^{4} - 72 x^{3} + 216 x^{2} - 192 x + 64$ |
$16$ |
[0,8] |
$2^{18}\cdot 3^{12}\cdot 11^{8}$ |
$3$ |
$16.4890649521$ |
$21.383671649138826$ |
|
|
|
$D_8:C_2$ (as 16T38) |
trivial |
$6$ |
$7$ |
$10720.0696853$ |
| 16.4.313...000.2 |
$x^{16} - 4 x^{15} + 6 x^{14} + 4 x^{13} - 37 x^{12} + 84 x^{11} - 92 x^{10} + 8 x^{9} + 132 x^{8} - 220 x^{7} + 118 x^{6} + 108 x^{5} - 214 x^{4} + 160 x^{3} + 30 x^{2} - 100 x + 25$ |
$16$ |
[4,6] |
$2^{24}\cdot 3^{14}\cdot 5^{8}$ |
$3$ |
$16.5390703135$ |
$16.539070313490214$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$2$ |
$9$ |
$3580.13314395$ |
| 16.0.331...744.3 |
$x^{16} - 8 x^{14} + 36 x^{12} - 88 x^{10} + 111 x^{8} - 88 x^{6} + 100 x^{4} - 112 x^{2} + 49$ |
$16$ |
[0,8] |
$2^{48}\cdot 7^{6}$ |
$2$ |
$16.5959360243$ |
$21.166010488516726$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$8$ |
$7$ |
$5628.24041995$ |
| 16.0.356...000.1 |
$x^{16} - 4 x^{15} + 2 x^{14} + 44 x^{12} - 104 x^{11} + 124 x^{10} - 276 x^{9} + 475 x^{8} - 444 x^{7} + 604 x^{6} - 796 x^{5} + 284 x^{4} + 120 x^{3} + 2 x^{2} + 4 x + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{12}\cdot 5^{6}$ |
$3$ |
$16.6730358504$ |
$20.38853093816547$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
$[2]$ |
$12$ |
$7$ |
$5042.1967116$ |
| 16.4.746...000.2 |
$x^{16} - 4 x^{15} + 6 x^{14} - 16 x^{13} + 28 x^{12} - 24 x^{11} + 24 x^{10} + 42 x^{9} - 117 x^{8} + 36 x^{7} + 6 x^{6} + 42 x^{5} - 17 x^{4} + 2 x^{3} - 21 x^{2} + 2 x + 1$ |
$16$ |
[4,6] |
$2^{24}\cdot 3^{6}\cdot 5^{14}$ |
$3$ |
$17.4608032144$ |
$20.031080424826147$ |
|
|
|
$D_8:C_2$ (as 16T38) |
trivial |
$2$ |
$9$ |
$5208.61715317$ |
| 16.0.118...024.7 |
$x^{16} - 12 x^{14} + 54 x^{12} - 72 x^{10} + 38 x^{8} - 12 x^{4} + 4$ |
$16$ |
[0,8] |
$2^{54}\cdot 3^{8}$ |
$2$ |
$17.9695359834$ |
$21.36950004471431$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$12$ |
$7$ |
$17196.0579314$ |
| 16.0.119...000.2 |
$x^{16} - 3 x^{15} - x^{14} + 12 x^{13} - 2 x^{12} + 12 x^{11} - 109 x^{10} + 111 x^{9} + 193 x^{8} - 408 x^{7} + 554 x^{6} - 384 x^{5} + 148 x^{4} - 336 x^{3} + 416 x^{2} - 384 x + 256$ |
$16$ |
[0,8] |
$2^{12}\cdot 3^{14}\cdot 5^{14}$ |
$3$ |
$17.9825943836$ |
$21.385029187241088$ |
|
|
|
$D_8:C_2$ (as 16T38) |
$[4]$ |
$6$ |
$7$ |
$5726.12322965$ |
| 16.0.119...144.2 |
$x^{16} - 6 x^{14} + 9 x^{12} + 10 x^{10} - 28 x^{8} + 130 x^{6} + 25 x^{4} + 10 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{34}\cdot 17^{8}$ |
$2$ |
$17.9851142693$ |
$19.61290618356907$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
$[2]$ |
$2$ |
$7$ |
$3284.85021224$ |
| 16.4.119...144.2 |
$x^{16} + 6 x^{14} + 9 x^{12} - 10 x^{10} - 28 x^{8} - 130 x^{6} + 25 x^{4} - 10 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{34}\cdot 17^{8}$ |
$2$ |
$17.9851142693$ |
$19.61290618356907$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$2$ |
$9$ |
$12299.5683316$ |
| 16.0.136...304.4 |
$x^{16} - 4 x^{15} + 6 x^{14} - 8 x^{13} + 46 x^{12} - 168 x^{11} + 338 x^{10} - 520 x^{9} + 786 x^{8} - 1108 x^{7} + 1370 x^{6} - 1512 x^{5} + 1406 x^{4} - 960 x^{3} + 430 x^{2} - 112 x + 13$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{8}\cdot 13^{6}$ |
$3$ |
$18.1279784316$ |
$24.979991993593593$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$12$ |
$7$ |
$25054.9537521$ |
| 16.4.162...856.1 |
$x^{16} - 6 x^{12} - 17 x^{8} - 6 x^{4} + 1$ |
$16$ |
[4,6] |
$2^{32}\cdot 3^{8}\cdot 7^{8}$ |
$3$ |
$18.3303027798$ |
$18.33030277982336$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$2$ |
$9$ |
$15379.8228213$ |
| 16.0.178...000.2 |
$x^{16} + 6 x^{14} - 14 x^{13} + 11 x^{12} - 44 x^{11} + x^{10} - 8 x^{9} - 52 x^{8} + 72 x^{7} + 233 x^{6} + 166 x^{5} + 387 x^{4} - 334 x^{3} - 149 x^{2} + 60 x + 25$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{8}\cdot 17^{8}$ |
$3$ |
$18.4390889146$ |
$18.439088914585774$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
$[2]$ |
$4$ |
$7$ |
$3648.14002353$ |
| 16.0.182...144.5 |
$x^{16} + 4 x^{14} + 14 x^{12} + 56 x^{10} + 105 x^{8} + 196 x^{6} + 392 x^{4} + 144 x^{2} + 16$ |
$16$ |
[0,8] |
$2^{28}\cdot 7^{14}$ |
$2$ |
$18.4613424107$ |
$21.954359747298287$ |
|
|
|
$D_8:C_2$ (as 16T38) |
$[2]$ |
$4$ |
$7$ |
$57122.4567908$ |
| 16.0.210...376.3 |
$x^{16} - 12 x^{12} + 72 x^{8} - 192 x^{6} + 328 x^{4} - 192 x^{2} + 36$ |
$16$ |
[0,8] |
$2^{58}\cdot 3^{6}$ |
$2$ |
$18.6274842474$ |
$21.36950004471431$ |
|
|
|
$D_8:C_2$ (as 16T38) |
trivial |
$8$ |
$7$ |
$32461.393052$ |
| 16.0.215...664.1 |
$x^{16} - 6 x^{15} + 17 x^{14} - 30 x^{13} + 38 x^{12} - 48 x^{11} + 89 x^{10} - 168 x^{9} + 217 x^{8} - 156 x^{7} + 7 x^{6} + 72 x^{5} - 10 x^{4} - 30 x^{3} + 7 x^{2} + 6 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{12}\cdot 17^{6}$ |
$3$ |
$18.6553877424$ |
$26.58339198612739$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$6$ |
$7$ |
$13426.5980282$ |
| 16.4.242...816.1 |
$x^{16} - 11 x^{14} + 32 x^{12} - 38 x^{10} + 58 x^{8} - 112 x^{6} + 41 x^{4} - 7 x^{2} + 4$ |
$16$ |
[4,6] |
$2^{16}\cdot 3^{12}\cdot 17^{8}$ |
$3$ |
$18.7972967403$ |
$18.7972967403308$ |
|
|
|
$D_8:C_2$ (as 16T38) |
trivial |
$2$ |
$9$ |
$41451.3896818$ |
| 16.4.268...000.1 |
$x^{16} - 4 x^{15} + 20 x^{13} - 36 x^{12} + 36 x^{11} - 48 x^{10} + 100 x^{9} - 69 x^{8} - 84 x^{7} + 212 x^{6} - 148 x^{5} + 114 x^{4} - 168 x^{3} + 56 x^{2} + 128 x - 79$ |
$16$ |
[4,6] |
$2^{40}\cdot 5^{12}$ |
$2$ |
$18.9148321801$ |
$20.626770754424918$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$2$ |
$9$ |
$8503.62429064$ |
| 16.0.268...000.5 |
$x^{16} - 4 x^{15} + 8 x^{14} - 8 x^{13} - 8 x^{12} + 48 x^{11} - 48 x^{10} - 104 x^{9} + 445 x^{8} - 968 x^{7} + 1256 x^{6} - 1048 x^{5} + 828 x^{4} - 412 x^{3} + 180 x^{2} - 56 x + 11$ |
$16$ |
[0,8] |
$2^{40}\cdot 5^{12}$ |
$2$ |
$18.9148321801$ |
$20.626770754424918$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
$[2]$ |
$2$ |
$7$ |
$2652.85503182$ |
| 16.0.288...744.1 |
$x^{16} + 24 x^{12} + 120 x^{8} + 160 x^{4} + 144$ |
$16$ |
[0,8] |
$2^{36}\cdot 3^{6}\cdot 7^{8}$ |
$3$ |
$19.0014603937$ |
$21.798526485920096$ |
|
|
|
$D_8:C_2$ (as 16T38) |
trivial |
$4$ |
$7$ |
$32701.9307884$ |
| 16.0.291...904.1 |
$x^{16} - 2 x^{15} + 4 x^{14} + 14 x^{10} - 16 x^{9} + 11 x^{8} + 6 x^{7} + 49 x^{4} - 14 x^{3} + 25 x^{2} + 6 x + 9$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 7^{14}$ |
$3$ |
$19.013033265$ |
$19.013033264982823$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
$[2]$ |
$6$ |
$7$ |
$17416.4393852$ |
| 16.4.291...904.1 |
$x^{16} - 6 x^{15} + 10 x^{14} - 21 x^{12} + 42 x^{11} - 49 x^{10} + 36 x^{9} - 48 x^{8} + 66 x^{7} - 77 x^{6} + 42 x^{5} + 7 x^{4} - 42 x^{3} + 45 x^{2} - 18 x + 9$ |
$16$ |
[4,6] |
$2^{16}\cdot 3^{8}\cdot 7^{14}$ |
$3$ |
$19.013033265$ |
$19.013033264982823$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$2$ |
$9$ |
$17968.6156484$ |
| 16.4.336...416.1 |
$x^{16} - 4 x^{14} + 4 x^{12} - 24 x^{11} - 40 x^{10} - 96 x^{9} - 176 x^{8} + 48 x^{7} + 272 x^{6} + 240 x^{5} + 184 x^{4} - 96 x^{3} - 112 x^{2} - 8$ |
$16$ |
[4,6] |
$2^{46}\cdot 3^{14}$ |
$2$ |
$19.1841400132$ |
$19.18414001319457$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$2$ |
$9$ |
$16039.5691449$ |
| 16.0.336...416.2 |
$x^{16} + 4 x^{14} + 4 x^{12} - 24 x^{11} - 20 x^{10} + 72 x^{9} + 214 x^{8} + 288 x^{7} + 316 x^{6} + 432 x^{5} + 556 x^{4} + 504 x^{3} + 340 x^{2} + 168 x + 49$ |
$16$ |
[0,8] |
$2^{46}\cdot 3^{14}$ |
$2$ |
$19.1841400132$ |
$19.18414001319457$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
$[2]$ |
$2$ |
$7$ |
$7938.46011493$ |
| 16.0.439...000.3 |
$x^{16} - 8 x^{14} + 40 x^{12} - 136 x^{10} + 340 x^{8} - 544 x^{6} + 472 x^{4} - 80 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{50}\cdot 5^{8}$ |
$2$ |
$19.5075953618$ |
$19.507595361829473$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
$[2]$ |
$4$ |
$7$ |
$13096.6616414$ |
| 16.4.462...504.1 |
$x^{16} + 4 x^{14} - 44 x^{12} - 260 x^{10} - 170 x^{8} - 260 x^{6} - 44 x^{4} + 4 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{24}\cdot 3^{14}\cdot 7^{8}$ |
$3$ |
$19.5692919026$ |
$19.5692919025805$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$2$ |
$9$ |
$20011.0592882$ |
| 16.0.462...504.1 |
$x^{16} - 4 x^{15} + 8 x^{14} - 12 x^{13} + 53 x^{12} - 164 x^{11} + 304 x^{10} - 426 x^{9} + 586 x^{8} - 786 x^{7} + 904 x^{6} - 844 x^{5} + 608 x^{4} - 312 x^{3} + 98 x^{2} - 14 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{14}\cdot 7^{8}$ |
$3$ |
$19.5692919026$ |
$19.5692919025805$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
$[4]$ |
$4$ |
$7$ |
$5488.18393607$ |
| 16.0.472...096.2 |
$x^{16} - 6 x^{12} + 13 x^{8} - 6 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{56}\cdot 3^{8}$ |
$2$ |
$19.5959179423$ |
$21.36950004471431$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$6$ |
$7$ |
$42215.6543868$ |
| 16.0.671...000.1 |
$x^{16} - 2 x^{15} + x^{14} + 2 x^{13} + 6 x^{12} - 36 x^{11} + 29 x^{10} + 36 x^{9} + 7 x^{8} + 36 x^{7} + 29 x^{6} - 36 x^{5} + 6 x^{4} + 2 x^{3} + x^{2} - 2 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{8}\cdot 5^{14}$ |
$3$ |
$20.0310804248$ |
$20.031080424826147$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
$[4]$ |
$6$ |
$7$ |
$12280.7846107$ |
| 16.0.671...000.4 |
$x^{16} - 4 x^{14} - 3 x^{12} - 2 x^{10} + 80 x^{8} - 8 x^{6} - 48 x^{4} - 256 x^{2} + 256$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{8}\cdot 5^{14}$ |
$3$ |
$20.0310804248$ |
$20.031080424826147$ |
|
|
|
$D_8:C_2$ (as 16T38) |
$[4]$ |
$2$ |
$7$ |
$10208.2412346$ |
| 16.0.728...576.3 |
$x^{16} - 2 x^{15} - x^{14} + 14 x^{12} - 28 x^{11} + 14 x^{10} + 12 x^{9} - 45 x^{8} + 86 x^{7} + 49 x^{6} - 84 x^{5} - 126 x^{4} - 112 x^{3} + 258 x^{2} + 128 x + 92$ |
$16$ |
[0,8] |
$2^{30}\cdot 7^{14}$ |
$2$ |
$20.1322366542$ |
$21.954359747298287$ |
|
|
|
$D_8:C_2$ (as 16T38) |
$[2]$ |
$2$ |
$7$ |
$72737.332652$ |
| 16.0.891...000.9 |
$x^{16} - 8 x^{15} + 32 x^{14} - 84 x^{13} + 186 x^{12} - 388 x^{11} + 760 x^{10} - 1292 x^{9} + 1957 x^{8} - 2628 x^{7} + 2424 x^{6} - 1016 x^{5} - 216 x^{4} + 408 x^{3} - 56 x^{2} - 80 x + 40$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{12}\cdot 5^{8}$ |
$3$ |
$20.3885309382$ |
$20.38853093816547$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
$[4]$ |
$4$ |
$7$ |
$15800.4377022$ |
| 16.0.896...496.1 |
$x^{16} - 4 x^{15} + 8 x^{14} - 8 x^{13} + 8 x^{12} - 24 x^{11} + 40 x^{10} + 32 x^{9} - 131 x^{8} - 176 x^{7} + 648 x^{6} - 288 x^{5} - 604 x^{4} + 732 x^{3} + 36 x^{2} - 432 x + 243$ |
$16$ |
[0,8] |
$2^{40}\cdot 13^{8}$ |
$2$ |
$20.3960780544$ |
$22.24208083433589$ |
|
|
|
$D_8:C_2$ (as 16T38) |
$[3]$ |
$2$ |
$7$ |
$14545.5858645$ |
