| 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 |
| 16.0.41943040000000000.1 |
$x^{16} - 8 x^{15} + 28 x^{14} - 56 x^{13} + 72 x^{12} - 68 x^{11} + 70 x^{10} - 108 x^{9} + 155 x^{8} - 148 x^{7} + 78 x^{6} - 4 x^{5} - 6 x^{4} - 20 x^{3} + 22 x^{2} - 8 x + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 5^{10}$ |
$2$ |
$10.9374541141$ |
$13.37480609952844$ |
|
|
? |
$C_4\wr C_2$ (as 16T42) |
trivial |
$4$ |
$7$ |
$78.6198421644$ |
| 16.0.73263654766724409.1 |
$x^{16} - 3 x^{15} + 3 x^{14} - 6 x^{13} + 13 x^{12} + 6 x^{11} - 30 x^{10} - 9 x^{9} + 51 x^{8} - 9 x^{7} - 30 x^{6} + 6 x^{5} + 13 x^{4} - 6 x^{3} + 3 x^{2} - 3 x + 1$ |
$16$ |
[0,8] |
$3^{12}\cdot 13^{10}$ |
$2$ |
$11.3254518034$ |
$15.606246247497747$ |
|
|
? |
$C_4\wr C_2$ (as 16T42) |
trivial |
$6$ |
$7$ |
$140.216883217$ |
| 16.0.99038527051792384.1 |
$x^{16} - 2 x^{15} + x^{14} + 4 x^{13} - 11 x^{12} + 24 x^{11} - 23 x^{10} - 12 x^{9} + 86 x^{8} - 176 x^{7} + 233 x^{6} - 228 x^{5} + 167 x^{4} - 90 x^{3} + 34 x^{2} - 8 x + 1$ |
$16$ |
[0,8] |
$2^{34}\cdot 7^{8}$ |
$2$ |
$11.5408490537$ |
$17.798422345016238$ |
|
|
? |
$C_4\wr C_2$ (as 16T42) |
trivial |
$2$ |
$7$ |
$65.9381053111$ |
| 16.0.132120176259825664.1 |
$x^{16} - 2 x^{15} + 4 x^{14} - 2 x^{13} + 8 x^{12} - 24 x^{11} + 50 x^{10} - 54 x^{9} + 19 x^{8} + 16 x^{7} - 24 x^{6} + 6 x^{5} + 9 x^{4} - 12 x^{3} + 7 x^{2} - 2 x + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 17^{10}$ |
$2$ |
$11.7506143061$ |
$16.74428805718538$ |
|
|
? |
$C_4\wr C_2$ (as 16T42) |
trivial |
$4$ |
$7$ |
$127.734112859$ |
| 16.0.169561224228515625.1 |
$x^{16} - 3 x^{15} + 5 x^{14} - 7 x^{13} + x^{12} + 11 x^{11} - 24 x^{10} + 35 x^{9} - 12 x^{8} - 10 x^{7} + 14 x^{6} - 14 x^{5} + 32 x^{4} - 36 x^{3} + 22 x^{2} - 7 x + 1$ |
$16$ |
[0,8] |
$3^{4}\cdot 5^{10}\cdot 11^{8}$ |
$3$ |
$11.9352881627$ |
$19.208102881010017$ |
|
|
? |
$C_4\wr C_2$ (as 16T42) |
trivial |
$2$ |
$7$ |
$73.2440423866$ |
| 16.0.169561224228515625.2 |
$x^{16} - 4 x^{15} + 9 x^{14} - 10 x^{13} + 5 x^{12} - 6 x^{11} + 5 x^{10} + 19 x^{9} - 33 x^{8} + 6 x^{7} + 14 x^{6} - 9 x^{5} + 21 x^{4} - 31 x^{3} + 18 x^{2} - 5 x + 1$ |
$16$ |
[0,8] |
$3^{4}\cdot 5^{10}\cdot 11^{8}$ |
$3$ |
$11.9352881627$ |
$19.208102881010017$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
trivial |
$2$ |
$7$ |
$93.9208233904$ |
| 16.0.288230376151711744.2 |
$x^{16} - 8 x^{14} + 24 x^{12} - 40 x^{10} + 54 x^{8} - 40 x^{6} + 24 x^{4} - 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{58}$ |
$1$ |
$12.3376866033$ |
$15.32165249117718$ |
|
|
? |
$C_4\wr C_2$ (as 16T42) |
trivial |
$8$ |
$7$ |
$647.347684367$ |
| 16.0.671088640000000000.2 |
$x^{16} + 6 x^{12} + 39 x^{8} + 30 x^{4} + 25$ |
$16$ |
[0,8] |
$2^{36}\cdot 5^{10}$ |
$2$ |
$13.0068982525$ |
$15.905414575341013$ |
|
|
? |
$C_4\wr C_2$ (as 16T42) |
trivial |
$4$ |
$7$ |
$342.10379149$ |
| 16.0.158...144.5 |
$x^{16} - 2 x^{14} + 9 x^{12} - 14 x^{10} - 9 x^{8} + 18 x^{4} + 16 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{38}\cdot 7^{8}$ |
$2$ |
$13.7244598078$ |
$21.166010488516726$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
trivial |
$2$ |
$7$ |
$349.923818839$ |
| 16.8.488...625.1 |
$x^{16} - 2 x^{15} - 3 x^{14} + 3 x^{13} + x^{12} + 5 x^{11} - 31 x^{10} + 6 x^{9} + 89 x^{8} + 6 x^{7} - 31 x^{6} + 5 x^{5} + x^{4} + 3 x^{3} - 3 x^{2} - 2 x + 1$ |
$16$ |
[8,4] |
$5^{10}\cdot 29^{8}$ |
$2$ |
$14.7249982437$ |
$18.006383777357115$ |
|
|
? |
$C_4\wr C_2$ (as 16T42) |
trivial |
$2$ |
$11$ |
$1652.33200457$ |
| 16.0.184...616.5 |
$x^{16} - 4 x^{12} + 8 x^{8} - 4 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{64}$ |
$1$ |
$16.0$ |
$18.220618156107065$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
trivial |
$8$ |
$7$ |
$7025.98135431$ |
| 16.0.262...000.7 |
$x^{16} - 8 x^{15} + 32 x^{14} - 84 x^{13} + 156 x^{12} - 208 x^{11} + 200 x^{10} - 112 x^{9} - 36 x^{8} + 144 x^{7} - 160 x^{6} + 104 x^{5} + 16 x^{4} - 112 x^{3} + 128 x^{2} - 96 x + 36$ |
$16$ |
[0,8] |
$2^{32}\cdot 5^{14}$ |
$2$ |
$16.3553086792$ |
$16.35530867915885$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
$[2]$ |
$4$ |
$7$ |
$2081.62299311$ |
| 16.0.306...625.1 |
$x^{16} - 2 x^{15} - 3 x^{13} + 23 x^{12} + 5 x^{11} - 26 x^{10} - 67 x^{9} - 59 x^{8} - 7 x^{7} + 123 x^{6} + 210 x^{5} + 236 x^{4} + 174 x^{3} + 104 x^{2} + 30 x + 9$ |
$16$ |
[0,8] |
$5^{10}\cdot 11^{12}$ |
$2$ |
$16.5158437899$ |
$20.19630948441476$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
trivial |
$2$ |
$7$ |
$1255.64181615$ |
| 16.8.164...625.1 |
$x^{16} - 3 x^{15} - 9 x^{14} + 14 x^{13} + 49 x^{12} - 22 x^{11} - 148 x^{10} + x^{9} + 224 x^{8} + 32 x^{7} - 162 x^{6} + 24 x^{5} + 134 x^{4} + 28 x^{3} - 21 x^{2} - 4 x + 1$ |
$16$ |
[8,4] |
$5^{8}\cdot 29^{10}$ |
$2$ |
$18.3435653331$ |
$27.943673649584856$ |
|
|
? |
$C_4\wr C_2$ (as 16T42) |
trivial |
$2$ |
$11$ |
$10281.9321931$ |
| 16.0.419...000.2 |
$x^{16} - 10 x^{12} + 95 x^{8} - 250 x^{4} + 625$ |
$16$ |
[0,8] |
$2^{36}\cdot 5^{14}$ |
$2$ |
$19.4498494493$ |
$19.449849449321462$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
$[2]$ |
$4$ |
$7$ |
$8166.23968032$ |
| 16.0.149...896.31 |
$x^{16} - 12 x^{12} + 40 x^{8} + 36 x^{4} + 81$ |
$16$ |
[0,8] |
$2^{64}\cdot 3^{4}$ |
$2$ |
$21.057184207239878$ |
$31.559036391689393$ |
|
|
? |
$C_4\wr C_2$ (as 16T42) |
trivial |
$8$ |
$7$ |
$53140.360295258455$ |
| 16.0.149...896.32 |
$x^{16} - 4 x^{12} + 40 x^{8} + 108 x^{4} + 81$ |
$16$ |
[0,8] |
$2^{64}\cdot 3^{4}$ |
$2$ |
$21.057184207239878$ |
$31.559036391689393$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
trivial |
$8$ |
$7$ |
$88355.10357008415$ |
| 16.0.189...384.56 |
$x^{16} + 4 x^{14} - 32 x^{13} - 44 x^{12} - 24 x^{11} + 180 x^{10} + 1000 x^{9} + 1168 x^{8} - 2560 x^{7} - 6764 x^{6} - 3072 x^{5} + 6548 x^{4} + 10936 x^{3} + 7316 x^{2} + 2392 x + 313$ |
$16$ |
[0,8] |
$2^{58}\cdot 3^{8}$ |
$2$ |
$21.36950004471431$ |
$26.53788057063313$ |
|
|
? |
$C_4\wr C_2$ (as 16T42) |
$[2]$ |
$8$ |
$7$ |
$22985.800537850213$ |
| 16.0.209...449.1 |
$x^{16} - 6 x^{15} + 14 x^{14} - 12 x^{13} - 8 x^{12} - 3 x^{11} + 29 x^{10} - 36 x^{9} + 298 x^{8} - 36 x^{7} + 29 x^{6} - 3 x^{5} - 8 x^{4} - 12 x^{3} + 14 x^{2} - 6 x + 1$ |
$16$ |
[0,8] |
$3^{12}\cdot 13^{14}$ |
$2$ |
$21.5050954404$ |
$21.505095440352893$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
$[4]$ |
$6$ |
$7$ |
$22778.0314327$ |
| 16.0.255...409.4 |
$x^{16} - x^{15} + 15 x^{14} - 31 x^{13} + 124 x^{12} - 279 x^{11} + 693 x^{10} - 1296 x^{9} + 2397 x^{8} - 3348 x^{7} + 4419 x^{6} - 4131 x^{5} + 3186 x^{4} - 324 x^{3} - 972 x^{2} - 729 x + 729$ |
$16$ |
[0,8] |
$3^{12}\cdot 37^{10}$ |
$2$ |
$21.7754439786$ |
$34.197332740531884$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
$[4]$ |
$6$ |
$7$ |
$21312.5774141$ |
| 16.16.117...625.1 |
$x^{16} - x^{15} - 24 x^{14} + 18 x^{13} + 216 x^{12} - 111 x^{11} - 933 x^{10} + 284 x^{9} + 2065 x^{8} - 233 x^{7} - 2289 x^{6} - 145 x^{5} + 1118 x^{4} + 225 x^{3} - 154 x^{2} - 37 x - 1$ |
$16$ |
[16,0] |
$5^{10}\cdot 7^{4}\cdot 29^{8}$ |
$3$ |
$23.9513370142$ |
$47.64041348647476$ |
|
|
? |
$C_4\wr C_2$ (as 16T42) |
trivial |
$2$ |
$15$ |
$464254.144107$ |
| 16.0.191...625.1 |
$x^{16} - 4 x^{15} + 7 x^{14} - 7 x^{13} - 10 x^{12} + 7 x^{11} + 182 x^{10} - 411 x^{9} + 346 x^{8} - 235 x^{7} - 390 x^{6} + 585 x^{5} + 365 x^{4} - 225 x^{3} + 1555 x^{2} - 110 x + 20$ |
$16$ |
[0,8] |
$5^{14}\cdot 11^{12}$ |
$2$ |
$24.696946882$ |
$24.69694688202418$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
$[4]$ |
$2$ |
$7$ |
$22132.6662656$ |
| 16.0.216...625.3 |
$x^{16} - 2 x^{15} - 7 x^{13} + 55 x^{12} - 233 x^{11} + 674 x^{10} - 1375 x^{9} + 2279 x^{8} - 3141 x^{7} + 3627 x^{6} - 3420 x^{5} + 2736 x^{4} - 1756 x^{3} + 832 x^{2} - 224 x + 49$ |
$16$ |
[0,8] |
$5^{10}\cdot 19^{12}$ |
$2$ |
$24.8840722382$ |
$30.429351993705872$ |
|
|
? |
$C_4\wr C_2$ (as 16T42) |
$[4]$ |
$2$ |
$7$ |
$7689.73558907$ |
| 16.0.281...089.1 |
$x^{16} - 4 x^{15} + 27 x^{14} - 78 x^{13} + 280 x^{12} - 578 x^{11} + 1404 x^{10} - 2304 x^{9} + 3384 x^{8} - 5082 x^{7} + 5100 x^{6} - 3542 x^{5} + 6427 x^{4} + 36 x^{3} + 2469 x^{2} - 1600 x + 268$ |
$16$ |
[0,8] |
$3^{8}\cdot 73^{10}$ |
$2$ |
$25.3009841719$ |
$43.25663903061054$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
trivial |
$6$ |
$7$ |
$686254.798714$ |
| 16.0.342...409.1 |
$x^{16} - 6 x^{15} + 21 x^{14} - 46 x^{13} + 85 x^{12} - 190 x^{11} + 391 x^{10} - 647 x^{9} + 1451 x^{8} - 3449 x^{7} + 4380 x^{6} - 3738 x^{5} + 3570 x^{4} - 1681 x^{3} + 1212 x^{2} - 195 x + 169$ |
$16$ |
[0,8] |
$17^{10}\cdot 19^{8}$ |
$2$ |
$25.6098701424$ |
$36.49332976140303$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
trivial |
$2$ |
$7$ |
$32708.8172641$ |
| 16.8.384...625.1 |
$x^{16} - 14 x^{14} + 93 x^{12} - 340 x^{10} + 724 x^{8} - 1261 x^{6} + 1498 x^{4} - 701 x^{2} + 64$ |
$16$ |
[8,4] |
$5^{10}\cdot 89^{8}$ |
$2$ |
$25.7959339363$ |
$31.544417096966722$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
trivial |
$2$ |
$11$ |
$512978.464308$ |
| 16.8.102...625.1 |
$x^{16} - 2 x^{15} - 15 x^{14} + 30 x^{13} + 79 x^{12} - 162 x^{11} - 272 x^{10} + 555 x^{9} + 561 x^{8} - 597 x^{7} - 1582 x^{6} + 2064 x^{5} + 769 x^{4} - 3099 x^{3} + 814 x^{2} + 1246 x - 499$ |
$16$ |
[8,4] |
$5^{12}\cdot 29^{10}$ |
$2$ |
$27.4300280641$ |
$41.78553833475025$ |
|
|
? |
$C_4\wr C_2$ (as 16T42) |
trivial |
$2$ |
$11$ |
$215243.090952$ |
| 16.8.105...625.4 |
$x^{16} - 20 x^{14} + 46 x^{12} + 15 x^{10} - 79 x^{8} + 15 x^{6} + 46 x^{4} - 20 x^{2} + 1$ |
$16$ |
[8,4] |
$5^{10}\cdot 101^{8}$ |
$2$ |
$27.4800133646$ |
$33.60378443921746$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
trivial |
$2$ |
$11$ |
$872718.117676$ |
| 16.0.121...576.196 |
$x^{16} - 36 x^{12} + 648 x^{8} - 2916 x^{4} + 6561$ |
$16$ |
[0,8] |
$2^{64}\cdot 3^{8}$ |
$2$ |
$27.712812921102035$ |
$31.559036391689393$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
$[2]$ |
$8$ |
$7$ |
$242142.7110306462$ |
| 16.16.137...264.1 |
$x^{16} - 8 x^{15} + 2 x^{14} + 98 x^{13} - 75 x^{12} - 508 x^{11} + 251 x^{10} + 1324 x^{9} - 152 x^{8} - 1692 x^{7} - 333 x^{6} + 888 x^{5} + 365 x^{4} - 92 x^{3} - 47 x^{2} + 2 x + 1$ |
$16$ |
[16,0] |
$2^{34}\cdot 41^{8}$ |
$2$ |
$27.9306259765$ |
$43.07491374145165$ |
|
|
? |
$C_4\wr C_2$ (as 16T42) |
trivial |
$2$ |
$15$ |
$2350832.65462$ |
| 16.0.153...104.108 |
$x^{16} + 16 x^{12} - 120 x^{10} - 294 x^{8} + 384 x^{6} + 3040 x^{4} + 1320 x^{2} + 169$ |
$16$ |
[0,8] |
$2^{58}\cdot 3^{12}$ |
$2$ |
$28.12384367863563$ |
$34.925814977847125$ |
|
|
? |
$C_4\wr C_2$ (as 16T42) |
$[2]$ |
$8$ |
$7$ |
$252594.36862253427$ |
| 16.0.153...104.124 |
$x^{16} - 36 x^{12} + 648 x^{8} - 648 x^{4} + 324$ |
$16$ |
[0,8] |
$2^{58}\cdot 3^{12}$ |
$2$ |
$28.12384367863563$ |
$34.925814977847125$ |
|
|
? |
$C_4\wr C_2$ (as 16T42) |
$[2]$ |
$8$ |
$7$ |
$598245.2994649773$ |
| 16.0.320...000.1 |
$x^{16} + 27 x^{14} + 265 x^{12} + 1179 x^{10} + 2564 x^{8} + 2865 x^{6} + 1615 x^{4} + 400 x^{2} + 25$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{10}\cdot 29^{8}$ |
$3$ |
$29.4499964874$ |
$50.92974429446663$ |
✓ |
|
? |
$C_4\wr C_2$ (as 16T42) |
$[2, 10]$ |
$2$ |
$7$ |
$3793.72993285$ |
| 16.0.379...041.3 |
$x^{16} - 2 x^{15} - 16 x^{14} + 42 x^{13} + 85 x^{12} - 256 x^{11} + 244 x^{10} + 1253 x^{9} - 1877 x^{8} - 2124 x^{7} + 7286 x^{6} - 1283 x^{5} - 17162 x^{4} + 2622 x^{3} + 16878 x^{2} + 375 x + 813$ |
$16$ |
[0,8] |
$3^{12}\cdot 61^{10}$ |
$2$ |
$29.7626836291$ |
$49.755181783405924$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
$[4]$ |
$6$ |
$7$ |
$435198.818124$ |
| 16.0.483...489.1 |
$x^{16} - 2 x^{15} - 18 x^{14} + 18 x^{13} + 163 x^{12} - 172 x^{11} - 552 x^{10} + 1347 x^{9} + 1266 x^{8} - 6786 x^{7} + 2547 x^{6} + 11246 x^{5} - 11672 x^{4} - 9291 x^{3} + 33042 x^{2} - 29141 x + 16381$ |
$16$ |
[0,8] |
$3^{8}\cdot 97^{10}$ |
$2$ |
$30.2198957126$ |
$53.535199825186666$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
trivial |
$6$ |
$7$ |
$329160.9111$ |
| 16.0.166...944.1 |
$x^{16} + 24 x^{14} + 200 x^{12} + 696 x^{10} + 1046 x^{8} + 696 x^{6} + 200 x^{4} + 24 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{58}\cdot 7^{8}$ |
$2$ |
$32.6424505061$ |
$40.53728216620807$ |
✓ |
|
|
$C_4\wr C_2$ (as 16T42) |
$[2, 10]$ |
$2$ |
$7$ |
$22325.8162501$ |
| 16.8.345...625.1 |
$x^{16} - 12 x^{14} - 10 x^{12} + 120 x^{10} + 759 x^{8} + 4199 x^{6} - 16828 x^{4} - 50637 x^{2} + 124609$ |
$16$ |
[8,4] |
$5^{10}\cdot 29^{12}$ |
$2$ |
$34.1707688895$ |
$41.78553833475025$ |
|
|
? |
$C_4\wr C_2$ (as 16T42) |
trivial |
$2$ |
$11$ |
$1275662.64015$ |
| 16.0.582...401.1 |
$x^{16} - 2 x^{15} - 10 x^{14} + 42 x^{13} + 122 x^{12} - 708 x^{11} + 749 x^{10} + 2585 x^{9} - 6198 x^{8} + 2352 x^{7} + 10883 x^{6} - 13571 x^{5} + 429 x^{4} + 4438 x^{3} + 1024 x^{2} - 2584 x + 848$ |
$16$ |
[0,8] |
$7^{12}\cdot 29^{10}$ |
$2$ |
$35.3038670301$ |
$53.78015238265253$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
$[5]$ |
$2$ |
$7$ |
$343368.044177$ |
| 16.0.769...625.1 |
$x^{16} - 2 x^{15} - 10 x^{14} + 6 x^{13} + 55 x^{12} + 16 x^{11} + 395 x^{10} - 940 x^{9} - 3716 x^{8} + 7692 x^{7} + 14333 x^{6} - 32172 x^{5} - 24511 x^{4} + 66066 x^{3} + 8379 x^{2} - 64942 x + 31769$ |
$16$ |
[0,8] |
$5^{10}\cdot 31^{12}$ |
$2$ |
$35.9234073604$ |
$43.92874272828957$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
$[3]$ |
$2$ |
$7$ |
$614911.087883$ |
| 16.8.858...489.3 |
$x^{16} - 2 x^{15} - 19 x^{14} + 35 x^{13} + 90 x^{12} - 265 x^{11} - 5 x^{10} + 1444 x^{9} + 1264 x^{8} - 3145 x^{7} - 7994 x^{6} + 493 x^{5} + 2574 x^{4} - 1223 x^{3} + 431 x^{2} + 143 x + 121$ |
$16$ |
[8,4] |
$13^{10}\cdot 53^{8}$ |
$2$ |
$36.1703349077$ |
$49.84199864366084$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
trivial |
$2$ |
$11$ |
$6129504.74347$ |
| 16.0.121...625.1 |
$x^{16} - 2 x^{15} - 13 x^{14} + 20 x^{13} + 117 x^{12} - 202 x^{11} - 299 x^{10} + 768 x^{9} + 431 x^{8} - 3542 x^{7} + 3069 x^{6} + 1512 x^{5} - 2068 x^{4} + 3888 x^{3} + 1008 x^{2} + 8704 x + 16384$ |
$16$ |
[0,8] |
$5^{8}\cdot 89^{10}$ |
$2$ |
$36.9703665354$ |
$64.79291322178058$ |
✓ |
|
|
$C_4\wr C_2$ (as 16T42) |
$[37]$ |
$2$ |
$7$ |
$95443.616698$ |
| 16.0.235...849.1 |
$x^{16} - 2 x^{15} + 11 x^{14} - 44 x^{13} + 94 x^{12} - 168 x^{11} + 187 x^{10} + 14 x^{9} - 59 x^{8} + 162 x^{7} - 209 x^{6} - 540 x^{5} + 3602 x^{4} - 6308 x^{3} + 5911 x^{2} - 9958 x + 8957$ |
$16$ |
[0,8] |
$17^{10}\cdot 43^{8}$ |
$2$ |
$38.5269654676$ |
$54.89981978409865$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
$[3]$ |
$2$ |
$7$ |
$964651.296901$ |
| 16.8.264...569.4 |
$x^{16} - 2 x^{15} - 23 x^{14} + 36 x^{13} + 122 x^{12} + 112 x^{11} - 825 x^{10} - 1766 x^{9} + 6976 x^{8} - 2594 x^{7} - 13113 x^{6} + 21674 x^{5} - 14124 x^{4} + 3262 x^{3} + 342 x^{2} - 78 x + 13$ |
$16$ |
[8,4] |
$13^{10}\cdot 61^{8}$ |
$2$ |
$38.8042695491$ |
$53.471507940612106$ |
|
|
? |
$C_4\wr C_2$ (as 16T42) |
trivial |
$2$ |
$11$ |
$6419363.9793$ |
| 16.8.274...449.1 |
$x^{16} - 3 x^{15} - 15 x^{14} - 9 x^{13} + 67 x^{12} + 28 x^{11} + 318 x^{10} - 337 x^{9} - 1061 x^{8} + 899 x^{7} - 457 x^{6} + 1394 x^{5} - 683 x^{4} - 197 x^{3} + 80 x^{2} - 33 x + 9$ |
$16$ |
[8,4] |
$13^{14}\cdot 17^{8}$ |
$2$ |
$38.8977870102$ |
$38.897787010151276$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
trivial |
$2$ |
$11$ |
$13224148.4074$ |
| 16.8.431...625.4 |
$x^{16} - 22 x^{14} + 89 x^{12} - 361 x^{10} + 4554 x^{8} - 9692 x^{6} + 33196 x^{4} - 60065 x^{2} + 25$ |
$16$ |
[8,4] |
$5^{8}\cdot 101^{10}$ |
$2$ |
$40.0115946853$ |
$71.24034803863643$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
trivial |
$2$ |
$11$ |
$28231704.2902$ |
| 16.0.480...689.8 |
$x^{16} - 6 x^{15} + 21 x^{14} - 56 x^{13} + 81 x^{12} - 74 x^{11} + 75 x^{10} + 222 x^{9} - 131 x^{8} + 2056 x^{7} + 336 x^{6} + 3352 x^{5} + 3101 x^{4} + 1602 x^{3} + 5492 x^{2} - 3816 x + 16336$ |
$16$ |
[0,8] |
$17^{10}\cdot 47^{8}$ |
$2$ |
$40.2790765126$ |
$57.396527724841604$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
$[20]$ |
$2$ |
$7$ |
$145848.015244$ |
| 16.0.665...649.1 |
$x^{16} - 18 x^{14} + 192 x^{12} - 252 x^{11} - 135 x^{10} + 987 x^{9} - 2123 x^{8} - 4788 x^{7} + 15615 x^{6} + 14679 x^{5} - 24042 x^{4} - 11592 x^{3} + 25749 x^{2} - 11193 x + 1681$ |
$16$ |
[0,8] |
$7^{12}\cdot 37^{10}$ |
$2$ |
$41.1102016978$ |
$64.56168002238364$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
trivial |
$2$ |
$7$ |
$9547939.47561$ |
| 16.8.819...625.1 |
$x^{16} - 6 x^{15} - 2 x^{14} + 38 x^{13} + 36 x^{12} - 136 x^{11} - 915 x^{10} + 5189 x^{9} - 12971 x^{8} + 1763 x^{7} + 85710 x^{6} - 211713 x^{5} + 140331 x^{4} + 193541 x^{3} - 397128 x^{2} + 240872 x - 42209$ |
$16$ |
[8,4] |
$5^{14}\cdot 41^{10}$ |
$2$ |
$41.6474738566$ |
$66.25011650349252$ |
|
|
? |
$C_4\wr C_2$ (as 16T42) |
trivial |
$2$ |
$11$ |
$10033349.3923$ |
| 16.8.819...625.2 |
$x^{16} - 7 x^{14} - 45 x^{13} - 7 x^{12} + 715 x^{11} - 1559 x^{10} + 1450 x^{9} + 1680 x^{8} - 4760 x^{7} + 896 x^{6} + 2230 x^{5} - 1432 x^{4} + 450 x^{3} + 738 x^{2} + 270 x + 81$ |
$16$ |
[8,4] |
$5^{14}\cdot 41^{10}$ |
$2$ |
$41.6474738566$ |
$66.25011650349252$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
trivial |
$2$ |
$11$ |
$23009235.0124$ |
| 16.8.121...625.1 |
$x^{16} - 2 x^{15} - 33 x^{14} + 99 x^{13} + 446 x^{12} - 1762 x^{11} - 2240 x^{10} + 13297 x^{9} - 3421 x^{8} - 31124 x^{7} + 29095 x^{6} + 7636 x^{5} - 16064 x^{4} + 3272 x^{3} + 1168 x^{2} - 704 x + 256$ |
$16$ |
[8,4] |
$5^{14}\cdot 109^{8}$ |
$2$ |
$42.6886089146$ |
$42.68860891456584$ |
|
|
|
$C_4\wr C_2$ (as 16T42) |
trivial |
$2$ |
$11$ |
$39488908.4077$ |
