| 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 |
| 16.0.5572562780160000.1 |
$x^{16} - 2 x^{14} - 7 x^{12} + 4 x^{10} + 34 x^{8} + 50 x^{6} + 32 x^{4} + 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{12}\cdot 5^{4}$ |
$3$ |
$9.64114102734$ |
$14.416868484808525$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
trivial |
$12$ |
$7$ |
$62.6647388247$ |
| 16.0.12548716987355136.1 |
$x^{16} - 7 x^{15} + 25 x^{14} - 56 x^{13} + 92 x^{12} - 133 x^{11} + 194 x^{10} - 266 x^{9} + 301 x^{8} - 266 x^{7} + 194 x^{6} - 133 x^{5} + 92 x^{4} - 56 x^{3} + 25 x^{2} - 7 x + 1$ |
$16$ |
[0,8] |
$2^{12}\cdot 3^{12}\cdot 7^{8}$ |
$3$ |
$10.1429073345$ |
$17.058268835716344$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
trivial |
$6$ |
$7$ |
$50.3578902431$ |
| 16.0.22799473113563136.1 |
$x^{16} + 8 x^{12} - 40 x^{10} + 50 x^{8} - 32 x^{6} + 24 x^{4} - 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{48}\cdot 3^{4}$ |
$2$ |
$10.5285921036$ |
$13.856406460551018$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
trivial |
$8$ |
$7$ |
$157.131997331$ |
| 16.0.110979264025334016.1 |
$x^{16} - 4 x^{15} + 6 x^{14} + x^{13} - 18 x^{12} + 24 x^{11} + 19 x^{10} - 119 x^{9} + 246 x^{8} - 355 x^{7} + 409 x^{6} - 387 x^{5} + 288 x^{4} - 154 x^{3} + 54 x^{2} - 11 x + 1$ |
$16$ |
[0,8] |
$2^{8}\cdot 3^{12}\cdot 13^{8}$ |
$3$ |
$11.6232509648$ |
$16.437759153264928$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
trivial |
$6$ |
$7$ |
$189.371841703$ |
| 16.0.584325558976905216.1 |
$x^{16} - 2 x^{14} - 4 x^{12} + 16 x^{10} - 5 x^{8} - 28 x^{6} + 32 x^{4} - 10 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{40}\cdot 3^{12}$ |
$2$ |
$12.8948391819$ |
$16.722537501928894$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
trivial |
$12$ |
$7$ |
$953.672135989$ |
| 16.0.703687441776640000.1 |
$x^{16} - 4 x^{12} + 6 x^{8} + 4 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{50}\cdot 5^{4}$ |
$2$ |
$13.0455152716$ |
$19.507595361829473$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
trivial |
$8$ |
$7$ |
$924.848773673$ |
| 16.0.142...000.3 |
$x^{16} - 8 x^{14} + 23 x^{12} - 32 x^{10} + 37 x^{8} - 40 x^{6} + 23 x^{4} - 4 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{12}\cdot 5^{4}$ |
$3$ |
$13.6346323976$ |
$20.38853093816547$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
trivial |
$12$ |
$7$ |
$1610.15768738$ |
| 16.0.145...704.2 |
$x^{16} - 4 x^{14} - 16 x^{13} + 64 x^{12} - 64 x^{11} + 24 x^{10} - 136 x^{9} + 374 x^{8} - 360 x^{7} + 56 x^{6} + 128 x^{5} - 52 x^{4} - 48 x^{3} + 48 x^{2} - 16 x + 2$ |
$16$ |
[0,8] |
$2^{54}\cdot 3^{4}$ |
$2$ |
$13.6538946948$ |
$17.969535983364356$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
trivial |
$8$ |
$7$ |
$1639.07383149$ |
| 16.0.184...016.9 |
$x^{16} - 8 x^{15} + 32 x^{14} - 80 x^{13} + 148 x^{12} - 232 x^{11} + 316 x^{10} - 328 x^{9} + 190 x^{8} + 56 x^{7} - 264 x^{6} + 312 x^{5} - 184 x^{4} - 16 x^{3} + 128 x^{2} - 104 x + 34$ |
$16$ |
[0,8] |
$2^{48}\cdot 3^{8}$ |
$2$ |
$13.8564064606$ |
$13.856406460551018$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
$[2]$ |
$8$ |
$7$ |
$1142.12354201$ |
| 16.0.188...096.1 |
$x^{16} - 8 x^{15} + 28 x^{14} - 56 x^{13} + 55 x^{12} + 34 x^{11} - 176 x^{10} + 187 x^{9} + 52 x^{8} - 384 x^{7} + 297 x^{6} + 282 x^{5} - 330 x^{4} - 153 x^{3} + 108 x^{2} + 63 x + 9$ |
$16$ |
[0,8] |
$2^{8}\cdot 3^{12}\cdot 7^{12}$ |
$3$ |
$13.8732901357$ |
$19.619795064584405$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
trivial |
$6$ |
$7$ |
$805.821091977$ |
| 16.0.348...000.1 |
$x^{16} - 8 x^{15} + 26 x^{14} - 42 x^{13} + 30 x^{12} + 2 x^{11} - 50 x^{10} + 184 x^{9} - 140 x^{8} - 522 x^{7} + 1272 x^{6} - 1220 x^{5} + 621 x^{4} - 186 x^{3} + 40 x^{2} - 8 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{12}\cdot 5^{8}$ |
$3$ |
$14.4168684848$ |
$14.416868484808525$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
$[2]$ |
$12$ |
$7$ |
$1368.08464147$ |
| 16.0.564...625.1 |
$x^{16} - 8 x^{15} + 28 x^{14} - 56 x^{13} + 83 x^{12} - 134 x^{11} + 220 x^{10} - 253 x^{9} + 196 x^{8} - 168 x^{7} + 187 x^{6} - 144 x^{5} + 58 x^{4} - 11 x^{3} - 2 x^{2} + 3 x + 1$ |
$16$ |
[0,8] |
$3^{12}\cdot 5^{4}\cdot 19^{8}$ |
$3$ |
$14.8579961884$ |
$22.21788649167895$ |
|
|
|
$C_4:D_4$ (as 16T43) |
trivial |
$6$ |
$7$ |
$1361.78824522$ |
| 16.0.934...456.2 |
$x^{16} - 8 x^{14} + 14 x^{12} + 28 x^{10} - 53 x^{8} - 124 x^{6} + 218 x^{4} - 28 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{44}\cdot 3^{12}$ |
$2$ |
$15.3346345019$ |
$16.722537501928894$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
trivial |
$12$ |
$7$ |
$5472.19131025$ |
| 16.0.284...096.2 |
$x^{16} - 5 x^{14} + 7 x^{12} + 37 x^{10} + 64 x^{8} + 37 x^{6} + 7 x^{4} - 5 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{12}\cdot 13^{8}$ |
$3$ |
$16.4377591533$ |
$16.437759153264928$ |
|
|
|
$C_4:D_4$ (as 16T43) |
$[2]$ |
$6$ |
$7$ |
$8502.34126938$ |
| 16.8.500...000.1 |
$x^{16} - x^{14} - 16 x^{12} - 9 x^{10} + 29 x^{8} + 9 x^{6} - 16 x^{4} + x^{2} + 1$ |
$16$ |
[8,4] |
$2^{8}\cdot 5^{8}\cdot 29^{8}$ |
$3$ |
$17.0293863659$ |
$24.08318915758459$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
trivial |
$2$ |
$11$ |
$6487.89695028$ |
| 16.0.513...056.1 |
$x^{16} - 8 x^{15} + 28 x^{14} - 50 x^{13} + 59 x^{12} - 56 x^{11} + 67 x^{10} - 148 x^{9} + 196 x^{8} - 132 x^{7} + 235 x^{6} + 115 x^{4} - 20 x^{3} + 7 x^{2} - 6 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{12}\cdot 7^{8}$ |
$3$ |
$17.0582688357$ |
$17.058268835716344$ |
|
|
|
$C_4:D_4$ (as 16T43) |
$[2]$ |
$6$ |
$7$ |
$3374.2130113$ |
| 16.0.118...024.4 |
$x^{16} - 16 x^{14} + 132 x^{12} - 472 x^{10} + 872 x^{8} - 368 x^{6} + 184 x^{4} - 48 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{54}\cdot 3^{8}$ |
$2$ |
$17.9695359834$ |
$17.969535983364356$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
$[2]$ |
$8$ |
$7$ |
$11913.708486$ |
| 16.8.149...296.1 |
$x^{16} - 8 x^{14} - 8 x^{13} + 28 x^{12} + 24 x^{11} - 20 x^{10} + 10 x^{8} - 112 x^{7} - 56 x^{6} + 40 x^{5} + 56 x^{4} + 64 x^{3} + 16 x^{2} - 8 x - 2$ |
$16$ |
[8,4] |
$2^{48}\cdot 3^{12}$ |
$2$ |
$18.2360564556$ |
$18.23605645563822$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
trivial |
$2$ |
$11$ |
$20519.3606285$ |
| 16.0.149...296.4 |
$x^{16} - 4 x^{14} + 22 x^{12} - 76 x^{10} + 118 x^{8} - 76 x^{6} + 22 x^{4} - 4 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{48}\cdot 3^{12}$ |
$2$ |
$18.2360564556$ |
$19.88656057819367$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
trivial |
$6$ |
$7$ |
$11561.4411888$ |
| 16.0.149...296.5 |
$x^{16} + 4 x^{14} + 22 x^{12} + 76 x^{10} + 118 x^{8} + 76 x^{6} + 22 x^{4} + 4 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{48}\cdot 3^{12}$ |
$2$ |
$18.2360564556$ |
$19.88656057819367$ |
|
|
|
$C_4:D_4$ (as 16T43) |
trivial |
$6$ |
$7$ |
$30299.4171562$ |
| 16.0.149...296.12 |
$x^{16} - 8 x^{13} + 8 x^{12} + 24 x^{11} + 60 x^{10} - 72 x^{8} - 128 x^{7} + 24 x^{6} + 240 x^{5} + 396 x^{4} + 344 x^{3} + 204 x^{2} + 80 x + 25$ |
$16$ |
[0,8] |
$2^{48}\cdot 3^{12}$ |
$2$ |
$18.2360564556$ |
$18.23605645563822$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
$[2]$ |
$2$ |
$7$ |
$2775.22191388$ |
| 16.0.439...000.6 |
$x^{16} - 4 x^{12} + 214 x^{8} - 700 x^{4} + 625$ |
$16$ |
[0,8] |
$2^{50}\cdot 5^{8}$ |
$2$ |
$19.5075953618$ |
$19.507595361829473$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
$[2]$ |
$8$ |
$7$ |
$18523.8589734$ |
| 16.0.482...576.3 |
$x^{16} - 2 x^{15} - 4 x^{14} + 14 x^{13} - x^{12} - 58 x^{11} + 111 x^{10} + 30 x^{9} - 269 x^{8} + 78 x^{7} + 354 x^{6} - 394 x^{5} + 485 x^{4} - 742 x^{3} + 518 x^{2} - 140 x + 28$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{12}\cdot 7^{12}$ |
$3$ |
$19.6197950646$ |
$19.619795064584405$ |
|
|
|
$C_4:D_4$ (as 16T43) |
$[2]$ |
$6$ |
$7$ |
$17465.0544303$ |
| 16.0.891...000.17 |
$x^{16} - 4 x^{14} - 28 x^{12} + 164 x^{10} + 1366 x^{8} + 3520 x^{6} + 4325 x^{4} + 2500 x^{2} + 625$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{12}\cdot 5^{8}$ |
$3$ |
$20.3885309382$ |
$20.38853093816547$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
$[2]$ |
$12$ |
$7$ |
$17508.2338858$ |
| 16.0.217...000.4 |
$x^{16} - 14 x^{14} + 83 x^{12} - 290 x^{10} + 781 x^{8} - 1720 x^{6} + 2012 x^{4} + 32 x^{2} + 16$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{12}\cdot 5^{12}$ |
$3$ |
$21.5582467178$ |
$21.558246717785053$ |
|
|
|
$C_4:D_4$ (as 16T43) |
$[4]$ |
$4$ |
$7$ |
$12503.9223675$ |
| 16.0.217...000.6 |
$x^{16} + 10 x^{14} - 2 x^{13} + 40 x^{12} + 30 x^{11} + 34 x^{10} + 150 x^{9} + 85 x^{8} + 122 x^{7} + 280 x^{6} + 220 x^{5} + 206 x^{4} + 280 x^{3} + 280 x^{2} + 160 x + 40$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{12}\cdot 5^{12}$ |
$3$ |
$21.5582467178$ |
$21.558246717785053$ |
|
|
|
$C_4:D_4$ (as 16T43) |
$[4]$ |
$4$ |
$7$ |
$70874.2556957$ |
| 16.0.352...625.2 |
$x^{16} - 8 x^{15} + 16 x^{14} + 28 x^{13} - 100 x^{12} - 128 x^{11} + 478 x^{10} + 404 x^{9} - 1586 x^{8} - 348 x^{7} + 2548 x^{6} - 300 x^{5} - 1715 x^{4} + 484 x^{3} + 358 x^{2} - 132 x + 49$ |
$16$ |
[0,8] |
$3^{12}\cdot 5^{8}\cdot 19^{8}$ |
$3$ |
$22.2178864917$ |
$22.21788649167895$ |
|
|
|
$C_4:D_4$ (as 16T43) |
$[2, 2]$ |
$6$ |
$7$ |
$23382.8111247$ |
| 16.0.727...576.1 |
$x^{16} - 6 x^{15} + 14 x^{14} - 12 x^{13} - 15 x^{12} + 54 x^{11} - 76 x^{10} + 84 x^{9} + 4 x^{8} - 258 x^{7} + 468 x^{6} - 666 x^{5} + 750 x^{4} - 180 x^{3} - 270 x^{2} + 117$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{12}\cdot 13^{8}$ |
$3$ |
$23.2465019296$ |
$23.246501929569742$ |
|
|
|
$C_4:D_4$ (as 16T43) |
$[2, 2]$ |
$2$ |
$7$ |
$28039.6739003$ |
| 16.8.957...944.6 |
$x^{16} - 16 x^{14} - 8 x^{13} + 92 x^{12} + 48 x^{11} - 232 x^{10} - 96 x^{9} + 340 x^{8} + 96 x^{7} - 320 x^{6} - 64 x^{5} - 144 x^{4} + 224 x^{3} + 160 x^{2} - 64 x - 8$ |
$16$ |
[8,4] |
$2^{54}\cdot 3^{12}$ |
$2$ |
$23.64923933252054$ |
$23.64923933252054$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
trivial |
$2$ |
$11$ |
$188263.24406587848$ |
| 16.0.957...944.43 |
$x^{16} - 8 x^{13} + 12 x^{12} + 24 x^{10} + 96 x^{9} - 252 x^{8} - 32 x^{7} + 288 x^{6} - 288 x^{5} + 880 x^{4} - 96 x^{3} + 288 x^{2} + 24$ |
$16$ |
[0,8] |
$2^{54}\cdot 3^{12}$ |
$2$ |
$23.64923933252054$ |
$23.64923933252054$ |
|
|
|
$C_4:D_4$ (as 16T43) |
$[2]$ |
$2$ |
$7$ |
$68853.43704939747$ |
| 16.0.957...944.54 |
$x^{16} - 8 x^{15} + 40 x^{14} - 136 x^{13} + 356 x^{12} - 656 x^{11} + 824 x^{10} - 496 x^{9} + 100 x^{8} - 352 x^{7} + 1568 x^{6} - 1472 x^{5} + 464 x^{4} + 608 x^{3} - 128 x^{2} - 128 x + 40$ |
$16$ |
[0,8] |
$2^{54}\cdot 3^{12}$ |
$2$ |
$23.64923933252054$ |
$23.64923933252054$ |
|
|
|
$C_4:D_4$ (as 16T43) |
$[2]$ |
$4$ |
$7$ |
$152089.39475855298$ |
| 16.0.957...944.55 |
$x^{16} - 8 x^{15} + 24 x^{14} - 24 x^{13} - 76 x^{12} + 360 x^{11} - 568 x^{10} + 232 x^{9} + 1074 x^{8} - 3208 x^{7} + 5144 x^{6} - 5688 x^{5} + 4652 x^{4} - 2808 x^{3} + 1128 x^{2} - 280 x + 49$ |
$16$ |
[0,8] |
$2^{54}\cdot 3^{12}$ |
$2$ |
$23.64923933252054$ |
$23.64923933252054$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
$[2]$ |
$4$ |
$7$ |
$47020.26363978719$ |
| 16.0.957...944.61 |
$x^{16} + 8 x^{14} - 8 x^{13} + 32 x^{12} - 48 x^{11} + 56 x^{10} + 24 x^{9} + 142 x^{8} - 192 x^{7} + 232 x^{6} - 184 x^{5} + 432 x^{4} - 112 x^{3} + 280 x^{2} + 8 x + 121$ |
$16$ |
[0,8] |
$2^{54}\cdot 3^{12}$ |
$2$ |
$23.64923933252054$ |
$23.64923933252054$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
$[2]$ |
$2$ |
$7$ |
$31826.464994373302$ |
| 16.0.957...944.62 |
$x^{16} + 8 x^{14} - 8 x^{13} + 32 x^{12} + 104 x^{10} - 24 x^{9} - 50 x^{8} - 288 x^{7} - 56 x^{6} + 584 x^{5} + 1488 x^{4} + 1664 x^{3} + 1096 x^{2} + 440 x + 121$ |
$16$ |
[0,8] |
$2^{54}\cdot 3^{12}$ |
$2$ |
$23.64923933252054$ |
$23.64923933252054$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
$[2]$ |
$2$ |
$7$ |
$25462.405479841196$ |
| 16.0.648...000.1 |
$x^{16} + 5 x^{14} + 17 x^{12} + 70 x^{10} + 266 x^{8} + 350 x^{6} + 425 x^{4} + 625 x^{2} + 625$ |
$16$ |
[0,8] |
$2^{12}\cdot 3^{4}\cdot 5^{8}\cdot 29^{8}$ |
$4$ |
$26.6524300094$ |
$58.9915248150105$ |
✓ |
|
? |
$C_4:D_4$ (as 16T43) |
$[10]$ |
$2$ |
$7$ |
$3793.72993285$ |
| 16.16.780...576.1 |
$x^{16} - 8 x^{15} + 8 x^{14} + 84 x^{13} - 210 x^{12} - 196 x^{11} + 1024 x^{10} - 368 x^{9} - 1691 x^{8} + 1668 x^{7} + 492 x^{6} - 1280 x^{5} + 468 x^{4} + 60 x^{3} - 56 x^{2} + 4 x + 1$ |
$16$ |
[16,0] |
$2^{44}\cdot 3^{12}\cdot 17^{4}$ |
$3$ |
$31.1376375803$ |
$63.226317781618015$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
trivial |
$2$ |
$15$ |
$4986811.01116$ |
| 16.0.780...576.1 |
$x^{16} - 8 x^{15} + 32 x^{14} - 84 x^{13} + 186 x^{12} - 388 x^{11} + 724 x^{10} - 1112 x^{9} + 1537 x^{8} - 2028 x^{7} + 2400 x^{6} - 2288 x^{5} + 2904 x^{4} - 3372 x^{3} + 2500 x^{2} - 1004 x + 1633$ |
$16$ |
[0,8] |
$2^{44}\cdot 3^{12}\cdot 17^{4}$ |
$3$ |
$31.1376375803$ |
$63.226317781618015$ |
✓ |
|
? |
$C_4:D_4$ (as 16T43) |
$[2, 10]$ |
$2$ |
$7$ |
$9072.35800888$ |
| 16.0.780...576.2 |
$x^{16} + 16 x^{14} - 12 x^{13} + 110 x^{12} - 84 x^{11} + 340 x^{10} - 276 x^{9} + 247 x^{8} + 300 x^{7} - 496 x^{6} - 960 x^{5} + 1178 x^{4} + 1392 x^{3} - 1828 x^{2} - 648 x + 862$ |
$16$ |
[0,8] |
$2^{44}\cdot 3^{12}\cdot 17^{4}$ |
$3$ |
$31.137637580310415$ |
$63.226317781618015$ |
✓ |
|
? |
$C_4:D_4$ (as 16T43) |
$[4]$ |
$2$ |
$7$ |
$202565.22943320428$ |
| 16.0.780...576.3 |
$x^{16} - 8 x^{14} - 12 x^{13} + 50 x^{12} + 132 x^{11} + 40 x^{10} - 492 x^{9} - 1025 x^{8} - 348 x^{7} + 3236 x^{6} + 8688 x^{5} + 14270 x^{4} + 14280 x^{3} + 10820 x^{2} + 5040 x + 1966$ |
$16$ |
[0,8] |
$2^{44}\cdot 3^{12}\cdot 17^{4}$ |
$3$ |
$31.137637580310415$ |
$63.226317781618015$ |
✓ |
|
? |
$C_4:D_4$ (as 16T43) |
$[20]$ |
$2$ |
$7$ |
$20146.257776593025$ |
| 16.0.348...625.1 |
$x^{16} - 4 x^{15} + 29 x^{14} - 84 x^{13} + 302 x^{12} - 590 x^{11} + 1255 x^{10} - 1527 x^{9} + 2108 x^{8} - 1523 x^{7} + 1555 x^{6} - 147 x^{5} + 271 x^{4} + 245 x^{3} + 410 x^{2} + 255 x + 45$ |
$16$ |
[0,8] |
$5^{12}\cdot 13^{4}\cdot 29^{8}$ |
$3$ |
$34.1910422992$ |
$64.92293999494403$ |
✓ |
|
|
$C_4:D_4$ (as 16T43) |
$[2, 4]$ |
$2$ |
$7$ |
$141395.158359$ |
| 16.0.348...625.2 |
$x^{16} - 5 x^{15} + 16 x^{14} - 31 x^{13} + 85 x^{12} - 182 x^{11} + 605 x^{10} - 1411 x^{9} + 3417 x^{8} - 6374 x^{7} + 8857 x^{6} - 10495 x^{5} + 7504 x^{4} - 5933 x^{3} + 4037 x^{2} + 464 x + 1856$ |
$16$ |
[0,8] |
$5^{12}\cdot 13^{4}\cdot 29^{8}$ |
$3$ |
$34.1910422992$ |
$64.92293999494403$ |
✓ |
|
|
$C_4:D_4$ (as 16T43) |
$[2, 8]$ |
$2$ |
$7$ |
$266040.845401$ |
| 16.0.525...000.1 |
$x^{16} + 35 x^{14} + 458 x^{12} + 2935 x^{10} + 10018 x^{8} + 18495 x^{6} + 17793 x^{4} + 8100 x^{2} + 1296$ |
$16$ |
[0,8] |
$2^{12}\cdot 3^{8}\cdot 5^{8}\cdot 29^{8}$ |
$4$ |
$35.0765705174$ |
$58.9915248150105$ |
✓ |
|
? |
$C_4:D_4$ (as 16T43) |
$[4]$ |
$2$ |
$7$ |
$134133.992243$ |
| 16.16.798...000.1 |
$x^{16} - 4 x^{15} - 23 x^{14} + 98 x^{13} + 159 x^{12} - 730 x^{11} - 588 x^{10} + 2329 x^{9} + 1577 x^{8} - 3229 x^{7} - 2545 x^{6} + 1352 x^{5} + 1425 x^{4} + 76 x^{3} - 129 x^{2} - 15 x + 1$ |
$16$ |
[16,0] |
$2^{12}\cdot 5^{12}\cdot 41^{8}$ |
$3$ |
$36.0074136904$ |
$60.55701018956975$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
trivial |
$2$ |
$15$ |
$23347924.4359$ |
| 16.0.798...000.1 |
$x^{16} + 31 x^{14} + 391 x^{12} + 2571 x^{10} + 9351 x^{8} + 18270 x^{6} + 16840 x^{4} + 5200 x^{2} + 400$ |
$16$ |
[0,8] |
$2^{12}\cdot 5^{12}\cdot 41^{8}$ |
$3$ |
$36.0074136904$ |
$60.55701018956975$ |
✓ |
|
|
$C_4:D_4$ (as 16T43) |
$[2, 8]$ |
$2$ |
$7$ |
$79500.4741647$ |
| 16.16.350...816.1 |
$x^{16} - 44 x^{14} + 578 x^{12} - 2904 x^{10} + 6176 x^{8} - 5808 x^{6} + 2312 x^{4} - 352 x^{2} + 16$ |
$16$ |
[16,0] |
$2^{44}\cdot 13^{4}\cdot 17^{8}$ |
$3$ |
$52.66751005500901$ |
$100.00659134828328$ |
|
|
? |
$C_4:D_4$ (as 16T43) |
trivial |
$2$ |
$15$ |
$1673322698.876065$ |
| 16.0.350...816.1 |
$x^{16} + 44 x^{14} + 578 x^{12} + 2904 x^{10} + 6176 x^{8} + 5808 x^{6} + 2312 x^{4} + 352 x^{2} + 16$ |
$16$ |
[0,8] |
$2^{44}\cdot 13^{4}\cdot 17^{8}$ |
$3$ |
$52.66751005500901$ |
$100.00659134828328$ |
✓ |
|
? |
$C_4:D_4$ (as 16T43) |
$[2, 8, 16]$ |
$2$ |
$7$ |
$210068.1829705323$ |
| 16.0.350...816.4 |
$x^{16} - 12 x^{14} + 90 x^{12} - 624 x^{10} + 3184 x^{8} - 4992 x^{6} + 5760 x^{4} - 6144 x^{2} + 4096$ |
$16$ |
[0,8] |
$2^{44}\cdot 13^{4}\cdot 17^{8}$ |
$3$ |
$52.66751005500901$ |
$100.00659134828328$ |
✓ |
|
|
$C_4:D_4$ (as 16T43) |
$[2, 2, 8]$ |
$2$ |
$7$ |
$3637483.4884657064$ |
| 16.0.350...816.5 |
$x^{16} + 12 x^{14} + 90 x^{12} + 624 x^{10} + 3184 x^{8} + 4992 x^{6} + 5760 x^{4} + 6144 x^{2} + 4096$ |
$16$ |
[0,8] |
$2^{44}\cdot 13^{4}\cdot 17^{8}$ |
$3$ |
$52.66751005500901$ |
$100.00659134828328$ |
✓ |
|
|
$C_4:D_4$ (as 16T43) |
$[6, 24]$ |
$2$ |
$7$ |
$586870.2598955169$ |
| 16.0.811...625.1 |
$x^{16} + 21 x^{14} - 8 x^{13} + 227 x^{12} - 84 x^{11} + 969 x^{10} - 774 x^{9} - 2787 x^{8} - 662 x^{7} - 20481 x^{6} - 18378 x^{5} + 97704 x^{4} + 10616 x^{3} - 42144 x^{2} - 13600 x + 18880$ |
$16$ |
[0,8] |
$3^{12}\cdot 5^{8}\cdot 7^{12}\cdot 41^{4}$ |
$4$ |
$55.5067037189$ |
$140.45635751643601$ |
✓ |
|
|
$C_4:D_4$ (as 16T43) |
$[4, 56]$ |
$2$ |
$7$ |
$3095468.2519037956$ |
