| 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 |
| 16.0.24759631762948096.2 |
$x^{16} - 7 x^{12} + 16 x^{8} - 7 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 7^{8}$ |
$2$ |
$10.5830052443$ |
$10.583005244258363$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
trivial |
$8$ |
$7$ |
$135.442584185$ |
| 16.0.26843545600000000.2 |
$x^{16} - 8 x^{15} + 28 x^{14} - 56 x^{13} + 72 x^{12} - 68 x^{11} + 74 x^{10} - 128 x^{9} + 199 x^{8} - 204 x^{7} + 126 x^{6} - 36 x^{5} + 2 x^{4} - 8 x^{3} + 2 x^{2} + 4 x + 1$ |
$16$ |
[0,8] |
$2^{36}\cdot 5^{8}$ |
$2$ |
$10.6365917939$ |
$10.636591793889977$ |
|
✓ |
? |
$D_4\times C_2$ (as 16T9) |
trivial |
$8$ |
$7$ |
$120.028472464$ |
| 16.0.36520347436056576.1 |
$x^{16} - 8 x^{15} + 34 x^{14} - 92 x^{13} + 162 x^{12} - 152 x^{11} - 62 x^{10} + 444 x^{9} - 665 x^{8} + 396 x^{7} + 194 x^{6} - 564 x^{5} + 488 x^{4} - 232 x^{3} + 68 x^{2} - 12 x + 1$ |
$16$ |
[0,8] |
$2^{36}\cdot 3^{12}$ |
$2$ |
$10.8432240433$ |
$10.843224043318138$ |
|
✓ |
? |
$D_4\times C_2$ (as 16T9) |
trivial |
$24$ |
$7$ |
$466.98215552$ |
| 16.0.42998169600000000.1 |
$x^{16} - 2 x^{15} + 2 x^{14} - 8 x^{13} + 10 x^{12} - 2 x^{11} + 16 x^{10} - 18 x^{9} + 3 x^{8} - 18 x^{7} + 16 x^{6} - 2 x^{5} + 10 x^{4} - 8 x^{3} + 2 x^{2} - 2 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{8}\cdot 5^{8}$ |
$3$ |
$10.9544511501$ |
$10.954451150103322$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
trivial |
$12$ |
$7$ |
$283.576252802$ |
| 16.0.115422332637413376.1 |
$x^{16} - 4 x^{14} + 8 x^{12} + 36 x^{10} + 62 x^{8} + 36 x^{6} + 8 x^{4} - 4 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{44}\cdot 3^{8}$ |
$2$ |
$11.651802521$ |
$11.651802520975762$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
trivial |
$24$ |
$7$ |
$978.775482333$ |
| 16.0.115422332637413376.2 |
$x^{16} - 6 x^{12} + 35 x^{8} - 6 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{44}\cdot 3^{8}$ |
$2$ |
$11.651802521$ |
$11.651802520975762$ |
|
✓ |
? |
$D_4\times C_2$ (as 16T9) |
trivial |
$24$ |
$7$ |
$844.712913494$ |
| 16.0.200779471797682176.4 |
$x^{16} + x^{14} + 4 x^{12} - 5 x^{10} + 7 x^{8} - 5 x^{6} + 4 x^{4} + x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{12}\cdot 7^{8}$ |
$3$ |
$12.062017569$ |
$12.06201756903818$ |
|
✓ |
? |
$D_4\times C_2$ (as 16T9) |
trivial |
$12$ |
$7$ |
$548.305383135$ |
| 16.0.350749278894882816.1 |
$x^{16} - 3 x^{14} + 8 x^{12} + 3 x^{10} - 9 x^{8} + 3 x^{6} + 8 x^{4} - 3 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 13^{8}$ |
$3$ |
$12.4899959968$ |
$12.489995996796797$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
trivial |
$12$ |
$7$ |
$771.781029552$ |
| 16.0.549378366500390625.1 |
$x^{16} - 3 x^{15} - x^{13} + 24 x^{12} - 20 x^{11} - 4 x^{10} - 73 x^{9} + 105 x^{8} + 49 x^{7} - 111 x^{6} + 10 x^{5} + 59 x^{4} - 22 x^{3} + 5 x^{2} - 4 x + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{8}\cdot 11^{8}$ |
$3$ |
$12.8452325787$ |
$12.84523257866513$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
trivial |
$6$ |
$7$ |
$535.532332979$ |
| 16.0.634562281237118976.3 |
$x^{16} - 4 x^{15} + 12 x^{14} - 20 x^{13} + 29 x^{12} - 30 x^{11} + 48 x^{10} - 66 x^{9} + 51 x^{8} - 82 x^{7} + 76 x^{6} - 60 x^{5} + 90 x^{4} - 72 x^{3} + 48 x^{2} - 16 x + 4$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{8}\cdot 7^{8}$ |
$3$ |
$12.9614813968$ |
$12.96148139681572$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
trivial |
$12$ |
$7$ |
$1538.34886394$ |
| 16.0.634562281237118976.5 |
$x^{16} - 4 x^{14} + 15 x^{12} - 16 x^{10} + 21 x^{8} + 38 x^{6} + 32 x^{4} + 24 x^{2} + 16$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{8}\cdot 7^{8}$ |
$3$ |
$12.9614813968$ |
$12.96148139681572$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
trivial |
$6$ |
$7$ |
$903.286579457$ |
| 16.0.119...625.1 |
$x^{16} + 3 x^{14} - 20 x^{12} + 9 x^{10} + 63 x^{8} + 9 x^{6} - 20 x^{4} + 3 x^{2} + 1$ |
$16$ |
[0,8] |
$3^{12}\cdot 5^{8}\cdot 7^{8}$ |
$3$ |
$13.4857456151$ |
$13.485745615083065$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
trivial |
$6$ |
$7$ |
$731.083137517$ |
| 16.0.184...016.5 |
$x^{16} - 4 x^{14} + 8 x^{12} - 24 x^{10} + 47 x^{8} - 24 x^{6} + 8 x^{4} - 4 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{48}\cdot 3^{8}$ |
$2$ |
$13.8564064606$ |
$13.856406460551018$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
trivial |
$24$ |
$7$ |
$4541.84469086$ |
| 16.0.184...016.7 |
$x^{16} - 4 x^{12} + 15 x^{8} - 4 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{48}\cdot 3^{8}$ |
$2$ |
$13.8564064606$ |
$13.856406460551018$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
trivial |
$24$ |
$7$ |
$4822.93617404$ |
| 16.0.209...625.1 |
$x^{16} - x^{15} + 5 x^{14} + 14 x^{13} + 6 x^{12} + 35 x^{11} + 42 x^{10} + 20 x^{9} + 31 x^{8} - 20 x^{7} + 42 x^{6} - 35 x^{5} + 6 x^{4} - 14 x^{3} + 5 x^{2} + x + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{8}\cdot 13^{8}$ |
$3$ |
$13.9642400438$ |
$13.96424004376894$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
$[2]$ |
$6$ |
$7$ |
$531.921563937$ |
| 16.0.299...936.1 |
$x^{16} - 5 x^{14} + 21 x^{12} - 10 x^{10} - 10 x^{8} - 10 x^{6} + 21 x^{4} - 5 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 17^{8}$ |
$3$ |
$14.2828568571$ |
$14.2828568570857$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
trivial |
$12$ |
$7$ |
$4561.3141512$ |
| 16.0.348...000.2 |
$x^{16} - 2 x^{15} + 2 x^{14} - 4 x^{13} - 22 x^{12} + 2 x^{11} + 48 x^{10} + 114 x^{9} + 163 x^{8} + 114 x^{7} + 48 x^{6} + 2 x^{5} - 22 x^{4} - 4 x^{3} + 2 x^{2} - 2 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{12}\cdot 5^{8}$ |
$3$ |
$14.4168684848$ |
$14.416868484808525$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
$[2]$ |
$12$ |
$7$ |
$1746.34049375$ |
| 16.0.348...000.6 |
$x^{16} - 6 x^{15} + 19 x^{14} - 42 x^{13} + 72 x^{12} - 78 x^{11} + 25 x^{10} + 42 x^{9} - 44 x^{8} + 30 x^{7} - 63 x^{6} + 18 x^{5} + 75 x^{4} + 54 x^{2} + 36$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{12}\cdot 5^{8}$ |
$3$ |
$14.4168684848$ |
$14.416868484808525$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
trivial |
$6$ |
$7$ |
$2681.6222586$ |
| 16.0.548...000.1 |
$x^{16} - 9 x^{14} + 39 x^{12} - 111 x^{10} + 214 x^{8} - 189 x^{6} + 69 x^{4} - 6 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{8}\cdot 11^{8}$ |
$3$ |
$14.8323969742$ |
$14.832396974191326$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
trivial |
$4$ |
$7$ |
$1538.79833411$ |
| 16.0.595...896.2 |
$x^{16} - 2 x^{15} + 2 x^{14} - 12 x^{13} + 13 x^{12} + 8 x^{11} + 30 x^{10} - 26 x^{9} - 12 x^{8} - 26 x^{7} + 30 x^{6} + 8 x^{5} + 13 x^{4} - 12 x^{3} + 2 x^{2} - 2 x + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 7^{12}$ |
$3$ |
$14.9078204352$ |
$14.907820435242222$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
trivial |
$12$ |
$7$ |
$7835.48382971$ |
| 16.0.687...000.3 |
$x^{16} + 18 x^{12} + 43 x^{8} + 18 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{44}\cdot 5^{8}$ |
$2$ |
$15.0424123723$ |
$15.042412372345574$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
trivial |
$8$ |
$7$ |
$4067.26207271$ |
| 16.0.687...000.6 |
$x^{16} + 42 x^{12} + 83 x^{8} + 42 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{44}\cdot 5^{8}$ |
$2$ |
$15.0424123723$ |
$15.042412372345574$ |
|
✓ |
? |
$D_4\times C_2$ (as 16T9) |
trivial |
$8$ |
$7$ |
$2592.42198789$ |
| 16.0.746...256.3 |
$x^{16} - x^{14} + x^{12} + 8 x^{10} - 20 x^{8} + 32 x^{6} + 16 x^{4} - 64 x^{2} + 256$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{12}\cdot 11^{8}$ |
$3$ |
$15.1205392298$ |
$15.120539229772588$ |
✓ |
✓ |
|
$D_4\times C_2$ (as 16T9) |
trivial |
$12$ |
$7$ |
$7645.28430819$ |
| 16.0.850...000.1 |
$x^{16} - 6 x^{15} + 18 x^{14} - 36 x^{13} + 37 x^{12} - 18 x^{10} + 42 x^{9} - 60 x^{8} + 42 x^{7} - 18 x^{6} + 37 x^{4} - 36 x^{3} + 18 x^{2} - 6 x + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{12}\cdot 5^{12}$ |
$3$ |
$15.2439824446$ |
$15.243982444638442$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
$[2]$ |
$12$ |
$7$ |
$4348.50756134$ |
| 16.0.934...456.9 |
$x^{16} - 8 x^{15} + 48 x^{14} - 196 x^{13} + 642 x^{12} - 1668 x^{11} + 3580 x^{10} - 6328 x^{9} + 9297 x^{8} - 11276 x^{7} + 11224 x^{6} - 9024 x^{5} + 5736 x^{4} - 2780 x^{3} + 972 x^{2} - 220 x + 25$ |
$16$ |
[0,8] |
$2^{44}\cdot 3^{12}$ |
$2$ |
$15.3346345019$ |
$15.33463450191054$ |
✓ |
✓ |
? |
$D_4\times C_2$ (as 16T9) |
trivial |
$24$ |
$7$ |
$10073.1288883$ |
| 16.0.110...000.8 |
$x^{16} - 3 x^{12} + 8 x^{8} - 3 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{8}\cdot 5^{8}$ |
$3$ |
$15.4919333848$ |
$15.491933384829668$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
trivial |
$12$ |
$7$ |
$5686.37968405$ |
| 16.0.167...000.3 |
$x^{16} - 36 x^{12} + 646 x^{8} - 36 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{36}\cdot 5^{12}$ |
$2$ |
$15.9054145753$ |
$15.905414575341013$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
$[2]$ |
$8$ |
$7$ |
$3307.22449595$ |
| 16.0.208...000.2 |
$x^{16} - 4 x^{14} + 28 x^{12} - 106 x^{10} + 288 x^{8} - 492 x^{6} + 657 x^{4} - 552 x^{2} + 196$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{8}\cdot 13^{8}$ |
$3$ |
$16.1245154966$ |
$16.1245154965971$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
$[2]$ |
$4$ |
$7$ |
$2108.57432833$ |
| 16.0.235...056.2 |
$x^{16} - 8 x^{15} + 32 x^{14} - 84 x^{13} + 138 x^{12} - 100 x^{11} - 88 x^{10} + 308 x^{9} - 217 x^{8} - 364 x^{7} + 1128 x^{6} - 1500 x^{5} + 1270 x^{4} - 732 x^{3} + 288 x^{2} - 72 x + 9$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{8}\cdot 11^{8}$ |
$3$ |
$16.2480768093$ |
$16.24807680927192$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
trivial |
$12$ |
$7$ |
$11716.986321$ |
| 16.0.235...056.3 |
$x^{16} - 2 x^{15} - x^{14} + 18 x^{13} - 27 x^{12} - 4 x^{11} + 62 x^{10} - 88 x^{9} + 62 x^{8} - 112 x^{7} + 294 x^{6} - 444 x^{5} + 277 x^{4} + 42 x^{3} - 33 x^{2} - 18 x + 9$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{8}\cdot 11^{8}$ |
$3$ |
$16.2480768093$ |
$16.24807680927192$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
trivial |
$6$ |
$7$ |
$8400.0296703$ |
| 16.0.268...000.3 |
$x^{16} - 6 x^{15} + 17 x^{14} - 30 x^{13} + 35 x^{12} - 24 x^{11} + 36 x^{10} - 240 x^{9} + 824 x^{8} - 1620 x^{7} + 2244 x^{6} - 2292 x^{5} + 1595 x^{4} - 630 x^{3} + 143 x^{2} - 18 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$16.3807251763$ |
$16.3807251762544$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
$[2]$ |
$6$ |
$7$ |
$4471.3211085$ |
| 16.0.268...000.6 |
$x^{16} - 4 x^{15} + 8 x^{14} - 12 x^{13} + 13 x^{12} - 2 x^{11} - 24 x^{10} + 44 x^{9} - 12 x^{8} - 58 x^{7} + 114 x^{6} - 74 x^{5} + 13 x^{4} + 24 x^{3} + 2 x^{2} + 2 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$16.3807251763$ |
$16.3807251762544$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
$[2]$ |
$12$ |
$7$ |
$5974.10888329$ |
| 16.0.284...096.3 |
$x^{16} - x^{14} - 11 x^{12} - 10 x^{10} + 142 x^{8} - 10 x^{6} - 11 x^{4} - x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{12}\cdot 13^{8}$ |
$3$ |
$16.4377591533$ |
$16.437759153264928$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
$[2]$ |
$12$ |
$7$ |
$8764.12088424$ |
| 16.0.299...536.2 |
$x^{16} + 17 x^{12} - 32 x^{8} + 17 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 17^{8}$ |
$2$ |
$16.4924225025$ |
$16.492422502470642$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
$[2]$ |
$8$ |
$7$ |
$4179.28334772$ |
| 16.0.299...536.4 |
$x^{16} - 4 x^{14} - 4 x^{13} + 8 x^{12} + 56 x^{11} - 2 x^{10} - 124 x^{9} + 333 x^{8} + 472 x^{7} - 510 x^{6} - 136 x^{5} + 498 x^{4} - 400 x^{3} + 172 x^{2} - 40 x + 4$ |
$16$ |
[0,8] |
$2^{32}\cdot 17^{8}$ |
$2$ |
$16.4924225025$ |
$16.492422502470642$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
$[2]$ |
$8$ |
$7$ |
$5277.21342233$ |
| 16.0.299...536.7 |
$x^{16} - 7 x^{12} + 40 x^{8} - 112 x^{4} + 256$ |
$16$ |
[0,8] |
$2^{32}\cdot 17^{8}$ |
$2$ |
$16.4924225025$ |
$16.492422502470642$ |
✓ |
✓ |
|
$D_4\times C_2$ (as 16T9) |
$[2]$ |
$8$ |
$7$ |
$22598.9729953$ |
| 16.0.308...281.1 |
$x^{16} - x^{15} - 4 x^{14} - 19 x^{13} + 33 x^{12} + 47 x^{11} + 108 x^{10} - 175 x^{9} - 197 x^{8} - 350 x^{7} + 432 x^{6} + 376 x^{5} + 528 x^{4} - 608 x^{3} - 256 x^{2} - 128 x + 256$ |
$16$ |
[0,8] |
$3^{8}\cdot 7^{8}\cdot 13^{8}$ |
$3$ |
$16.5227116419$ |
$16.522711641858304$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
trivial |
$6$ |
$7$ |
$4784.98672664$ |
| 16.0.336...576.1 |
$x^{16} + 3 x^{14} - 7 x^{12} + 24 x^{10} + 204 x^{8} + 96 x^{6} - 112 x^{4} + 192 x^{2} + 256$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 23^{8}$ |
$3$ |
$16.6132477258$ |
$16.61324772583615$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
$[3]$ |
$12$ |
$7$ |
$6753.06260878$ |
| 16.0.354...625.1 |
$x^{16} + 3 x^{14} - 4 x^{12} + 33 x^{10} + 159 x^{8} + 33 x^{6} - 4 x^{4} + 3 x^{2} + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{8}\cdot 7^{12}$ |
$3$ |
$16.6674499448$ |
$16.667449944781055$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
trivial |
$6$ |
$7$ |
$4982.16245569$ |
| 16.0.377...000.1 |
$x^{16} + 12 x^{14} + 23 x^{12} - 96 x^{10} + 21 x^{8} + 270 x^{6} + 64 x^{4} - 72 x^{2} + 16$ |
$16$ |
[0,8] |
$2^{24}\cdot 5^{8}\cdot 7^{8}$ |
$3$ |
$16.7332005307$ |
$16.73320053068151$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
$[2]$ |
$2$ |
$7$ |
$1214.97047731$ |
| 16.0.377...000.2 |
$x^{16} - 2 x^{15} + 2 x^{14} - 18 x^{13} + 38 x^{12} - 2 x^{11} + 90 x^{10} - 174 x^{9} + 25 x^{8} - 348 x^{7} + 360 x^{6} - 16 x^{5} + 608 x^{4} - 576 x^{3} + 128 x^{2} - 256 x + 256$ |
$16$ |
[0,8] |
$2^{24}\cdot 5^{8}\cdot 7^{8}$ |
$3$ |
$16.7332005307$ |
$16.73320053068151$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
trivial |
$4$ |
$7$ |
$4301.25670415$ |
| 16.0.435...625.1 |
$x^{16} - 4 x^{15} + 10 x^{14} - 16 x^{13} + 2 x^{12} + 86 x^{11} - 194 x^{10} + 268 x^{9} + 85 x^{8} - 480 x^{7} + 862 x^{6} - 582 x^{5} + 271 x^{4} + 68 x^{3} - 17 x^{2} + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{8}\cdot 19^{8}$ |
$3$ |
$16.8819430161$ |
$16.881943016134134$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
$[2]$ |
$6$ |
$7$ |
$2590.08235462$ |
| 16.0.513...056.9 |
$x^{16} - 2 x^{15} + 2 x^{14} + 2 x^{13} - x^{12} + 14 x^{11} - 24 x^{10} - 12 x^{9} + 481 x^{8} - 780 x^{7} + 648 x^{6} - 496 x^{5} + 368 x^{4} - 448 x^{3} + 512 x^{2} - 512 x + 256$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{12}\cdot 7^{8}$ |
$3$ |
$17.0582688357$ |
$17.058268835716344$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
$[2]$ |
$12$ |
$7$ |
$7754.35289362$ |
| 16.0.513...056.10 |
$x^{16} - 2 x^{14} + 16 x^{12} + 40 x^{10} + 112 x^{8} + 160 x^{6} + 256 x^{4} - 128 x^{2} + 256$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{12}\cdot 7^{8}$ |
$3$ |
$17.0582688357$ |
$17.058268835716344$ |
|
✓ |
? |
$D_4\times C_2$ (as 16T9) |
$[2]$ |
$6$ |
$7$ |
$2668.76941585$ |
| 16.0.513...056.11 |
$x^{16} + 2 x^{14} + 16 x^{12} - 40 x^{10} + 112 x^{8} - 160 x^{6} + 256 x^{4} + 128 x^{2} + 256$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{12}\cdot 7^{8}$ |
$3$ |
$17.0582688357$ |
$17.058268835716344$ |
|
✓ |
? |
$D_4\times C_2$ (as 16T9) |
trivial |
$6$ |
$7$ |
$5377.79377489$ |
| 16.0.560...656.1 |
$x^{16} - 8 x^{15} + 20 x^{14} - 56 x^{12} - 28 x^{11} + 318 x^{10} - 380 x^{9} - 21 x^{8} + 340 x^{7} - 174 x^{6} - 136 x^{5} + 226 x^{4} - 144 x^{3} + 50 x^{2} - 8 x + 1$ |
$16$ |
[0,8] |
$2^{36}\cdot 13^{8}$ |
$2$ |
$17.1509889212$ |
$17.150988921155648$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
$[3]$ |
$8$ |
$7$ |
$4427.02461923$ |
| 16.0.594...496.3 |
$x^{16} - 13 x^{12} + 339 x^{8} - 143 x^{4} + 16$ |
$16$ |
[0,8] |
$2^{32}\cdot 7^{12}$ |
$2$ |
$17.2140682826$ |
$17.214068282635402$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
$[2]$ |
$8$ |
$7$ |
$35566.5728463$ |
| 16.0.594...496.4 |
$x^{16} + 15 x^{12} + 73 x^{8} - 24 x^{4} + 16$ |
$16$ |
[0,8] |
$2^{32}\cdot 7^{12}$ |
$2$ |
$17.2140682826$ |
$17.214068282635402$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
$[2]$ |
$8$ |
$7$ |
$7743.88719662$ |
| 16.0.809...016.1 |
$x^{16} + 11 x^{14} + 43 x^{12} + 86 x^{10} + 231 x^{8} + 67 x^{6} - 3 x^{4} - 52 x^{2} + 16$ |
$16$ |
[0,8] |
$2^{16}\cdot 7^{8}\cdot 11^{8}$ |
$3$ |
$17.5499287748$ |
$17.549928774784245$ |
|
✓ |
|
$D_4\times C_2$ (as 16T9) |
trivial |
$4$ |
$7$ |
$8995.10035275$ |
| 16.0.897...896.1 |
$x^{16} - 4 x^{15} + 8 x^{14} - 28 x^{13} + 53 x^{12} - 2 x^{11} - 24 x^{10} + 76 x^{9} - 108 x^{8} - 10 x^{7} + 50 x^{6} - 146 x^{5} + 261 x^{4} - 88 x^{3} + 18 x^{2} - 6 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{8}\cdot 13^{8}$ |
$3$ |
$17.6635217327$ |
$17.663521732655695$ |
✓ |
✓ |
|
$D_4\times C_2$ (as 16T9) |
$[2]$ |
$12$ |
$7$ |
$14943.0195941$ |
