| 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 |
| 16.0.957...944.1 |
$x^{16} + 16 x^{14} - 8 x^{13} + 100 x^{12} - 48 x^{11} + 280 x^{10} - 144 x^{9} + 388 x^{8} + 32 x^{7} + 160 x^{6} - 224 x^{5} + 272 x^{4} - 32 x^{3} - 320 x^{2} - 128 x + 184$ |
$16$ |
[0,8] |
$2^{54}\cdot 3^{12}$ |
$2$ |
$23.6492393325$ |
$23.64923933252054$ |
✓ |
✓ |
? |
$C_4:C_4$ (as 16T8) |
$[2]$ |
$2$ |
$7$ |
$22843.7922823$ |
| 16.16.957...944.1 |
$x^{16} - 24 x^{14} - 8 x^{13} + 200 x^{12} + 96 x^{11} - 744 x^{10} - 360 x^{9} + 1350 x^{8} + 544 x^{7} - 1176 x^{6} - 312 x^{5} + 456 x^{4} + 32 x^{3} - 72 x^{2} + 8 x + 1$ |
$16$ |
[16,0] |
$2^{54}\cdot 3^{12}$ |
$2$ |
$23.6492393325$ |
$23.64923933252054$ |
|
✓ |
? |
$C_4:C_4$ (as 16T8) |
trivial |
$2$ |
$15$ |
$741640.969177$ |
| 16.0.957...944.2 |
$x^{16} - 8 x^{13} + 20 x^{12} + 48 x^{11} + 72 x^{10} - 144 x^{9} - 540 x^{8} - 608 x^{7} + 576 x^{6} + 3168 x^{5} + 6000 x^{4} + 5984 x^{3} + 3840 x^{2} + 1472 x + 376$ |
$16$ |
[0,8] |
$2^{54}\cdot 3^{12}$ |
$2$ |
$23.6492393325$ |
$23.64923933252054$ |
✓ |
✓ |
? |
$C_4:C_4$ (as 16T8) |
$[2]$ |
$2$ |
$7$ |
$11964.3106427$ |
| 16.0.957...944.3 |
$x^{16} - 8 x^{14} - 8 x^{13} + 40 x^{12} - 8 x^{10} - 72 x^{9} + 310 x^{8} - 160 x^{7} + 280 x^{6} - 440 x^{5} - 184 x^{4} + 448 x^{3} + 1048 x^{2} - 344 x + 433$ |
$16$ |
[0,8] |
$2^{54}\cdot 3^{12}$ |
$2$ |
$23.6492393325$ |
$23.64923933252054$ |
✓ |
✓ |
? |
$C_4:C_4$ (as 16T8) |
$[2]$ |
$2$ |
$7$ |
$10073.1288883$ |
| 16.16.179...625.1 |
$x^{16} - 5 x^{15} - 23 x^{14} + 142 x^{13} + 122 x^{12} - 1367 x^{11} + 169 x^{10} + 6206 x^{9} - 3110 x^{8} - 14796 x^{7} + 9442 x^{6} + 19146 x^{5} - 12353 x^{4} - 12782 x^{3} + 7192 x^{2} + 3456 x - 1424$ |
$16$ |
[16,0] |
$3^{12}\cdot 5^{12}\cdot 7^{12}$ |
$3$ |
$32.8013693377$ |
$32.801369337662685$ |
|
✓ |
|
$C_4:C_4$ (as 16T8) |
trivial |
$2$ |
$15$ |
$7752916.72291$ |
| 16.0.179...625.2 |
$x^{16} - 5 x^{15} + 21 x^{14} - 30 x^{13} + 50 x^{12} + 75 x^{11} + 674 x^{10} + 700 x^{9} + 1239 x^{8} - 700 x^{7} + 674 x^{6} - 75 x^{5} + 50 x^{4} + 30 x^{3} + 21 x^{2} + 5 x + 1$ |
$16$ |
[0,8] |
$3^{12}\cdot 5^{12}\cdot 7^{12}$ |
$3$ |
$32.8013693377$ |
$32.801369337662685$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2, 2, 2]$ |
$10$ |
$7$ |
$120012.452011$ |
| 16.0.179...625.3 |
$x^{16} - 5 x^{15} + 27 x^{14} - 114 x^{13} + 254 x^{12} - 531 x^{11} + 1034 x^{10} - 878 x^{9} + 2007 x^{8} - 1492 x^{7} + 944 x^{6} - 3627 x^{5} + 1796 x^{4} - 4920 x^{3} + 10695 x^{2} - 8425 x + 7795$ |
$16$ |
[0,8] |
$3^{12}\cdot 5^{12}\cdot 7^{12}$ |
$3$ |
$32.8013693377$ |
$32.801369337662685$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[4, 8]$ |
$2$ |
$7$ |
$14409.2792961$ |
| 16.0.179...625.4 |
$x^{16} - x^{15} - 2 x^{14} + x^{13} - 7 x^{12} - 61 x^{11} + 110 x^{10} + 85 x^{9} - 59 x^{8} + 340 x^{7} + 1760 x^{6} - 3904 x^{5} - 1792 x^{4} + 1024 x^{3} - 8192 x^{2} - 16384 x + 65536$ |
$16$ |
[0,8] |
$3^{12}\cdot 5^{12}\cdot 7^{12}$ |
$3$ |
$32.8013693377$ |
$32.801369337662685$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[4, 8]$ |
$10$ |
$7$ |
$103783.231276$ |
| 16.16.863...625.1 |
$x^{16} - 5 x^{15} - 36 x^{14} + 145 x^{13} + 560 x^{12} - 1610 x^{11} - 4769 x^{10} + 8490 x^{9} + 23394 x^{8} - 20855 x^{7} - 64854 x^{6} + 15240 x^{5} + 92315 x^{4} + 21110 x^{3} - 50036 x^{2} - 29130 x - 3299$ |
$16$ |
[16,0] |
$5^{12}\cdot 29^{12}$ |
$2$ |
$41.7855383348$ |
$41.78553833475025$ |
|
✓ |
|
$C_4:C_4$ (as 16T8) |
trivial |
$2$ |
$15$ |
$57322151.8284$ |
| 16.0.863...625.2 |
$x^{16} - 4 x^{15} + 49 x^{14} - 154 x^{13} + 861 x^{12} - 1822 x^{11} + 6096 x^{10} - 7367 x^{9} + 18077 x^{8} - 8493 x^{7} + 27841 x^{6} + 3012 x^{5} + 28871 x^{4} + 19024 x^{3} + 19169 x^{2} + 9889 x + 1711$ |
$16$ |
[0,8] |
$5^{12}\cdot 29^{12}$ |
$2$ |
$41.7855383348$ |
$41.78553833475025$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2, 4]$ |
$2$ |
$7$ |
$249792.59056$ |
| 16.0.863...625.3 |
$x^{16} - x^{15} - 3 x^{14} + 16 x^{13} - 36 x^{12} + 49 x^{11} + 308 x^{10} - 1196 x^{9} + 1233 x^{8} + 5196 x^{7} + 9868 x^{6} + 7953 x^{5} - 29020 x^{4} - 33488 x^{3} - 5819 x^{2} + 109503 x + 279841$ |
$16$ |
[0,8] |
$5^{12}\cdot 29^{12}$ |
$2$ |
$41.7855383348$ |
$41.78553833475025$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[6, 12]$ |
$10$ |
$7$ |
$249792.59056$ |
| 16.16.550...625.1 |
$x^{16} - 4 x^{15} - 51 x^{14} + 196 x^{13} + 906 x^{12} - 2982 x^{11} - 8509 x^{10} + 19533 x^{9} + 44732 x^{8} - 56263 x^{7} - 114529 x^{6} + 75917 x^{5} + 127991 x^{4} - 55591 x^{3} - 51826 x^{2} + 20159 x + 1021$ |
$16$ |
[16,0] |
$5^{12}\cdot 41^{12}$ |
$2$ |
$54.1770552722$ |
$54.17705527224281$ |
|
✓ |
|
$C_4:C_4$ (as 16T8) |
trivial |
$2$ |
$15$ |
$336719650.335$ |
| 16.0.550...625.9 |
$x^{16} - 5 x^{15} + 8 x^{14} + 15 x^{13} - 115 x^{12} + 265 x^{11} - 72 x^{10} - 675 x^{9} + 649 x^{8} - 5400 x^{7} - 4608 x^{6} + 135680 x^{5} - 471040 x^{4} + 491520 x^{3} + 2097152 x^{2} - 10485760 x + 16777216$ |
$16$ |
[0,8] |
$5^{12}\cdot 41^{12}$ |
$2$ |
$54.1770552722$ |
$54.17705527224281$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[12, 12]$ |
$10$ |
$7$ |
$478806.025823$ |
| 16.0.550...625.10 |
$x^{16} - 95 x^{14} + 3851 x^{12} - 88710 x^{10} + 1286011 x^{8} - 11934110 x^{6} + 69284846 x^{4} - 237776760 x^{2} + 395254161$ |
$16$ |
[0,8] |
$5^{12}\cdot 41^{12}$ |
$2$ |
$54.1770552722$ |
$54.17705527224281$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2, 2, 10]$ |
$2$ |
$7$ |
$478806.025823$ |
| 16.16.135...041.1 |
$x^{16} - 4 x^{15} - 55 x^{14} + 210 x^{13} + 1089 x^{12} - 3878 x^{11} - 9962 x^{10} + 32075 x^{9} + 44659 x^{8} - 124859 x^{7} - 93555 x^{6} + 214708 x^{5} + 73203 x^{4} - 133892 x^{3} - 11509 x^{2} + 9255 x + 1223$ |
$16$ |
[16,0] |
$13^{12}\cdot 17^{12}$ |
$2$ |
$57.3184193184$ |
$57.318419318377835$ |
|
✓ |
|
$C_4:C_4$ (as 16T8) |
trivial |
$2$ |
$15$ |
$639742572.352$ |
| 16.0.135...041.3 |
$x^{16} - 4 x^{15} + 29 x^{14} - 84 x^{13} + 319 x^{12} - 944 x^{11} + 2090 x^{10} - 4899 x^{9} + 10309 x^{8} - 16629 x^{7} + 25877 x^{6} - 42862 x^{5} + 53241 x^{4} - 50012 x^{3} + 59905 x^{2} - 62675 x + 26711$ |
$16$ |
[0,8] |
$13^{12}\cdot 17^{12}$ |
$2$ |
$57.3184193184$ |
$57.318419318377835$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[4, 8]$ |
$2$ |
$7$ |
$506567.420659$ |
| 16.0.135...041.5 |
$x^{16} + 119 x^{14} + 5456 x^{12} + 121006 x^{10} + 1343266 x^{8} + 7090207 x^{6} + 14841596 x^{4} + 9180884 x^{2} + 139129$ |
$16$ |
[0,8] |
$13^{12}\cdot 17^{12}$ |
$2$ |
$57.3184193184$ |
$57.318419318377835$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2, 2, 10]$ |
$2$ |
$7$ |
$506567.420659$ |
| 16.0.648...625.3 |
$x^{16} - 5 x^{15} + 36 x^{14} - 195 x^{13} + 1105 x^{12} - 5065 x^{11} + 27324 x^{10} - 149175 x^{9} + 771979 x^{8} - 3163050 x^{7} + 10091364 x^{6} - 24600040 x^{5} + 46030480 x^{4} - 64197120 x^{3} + 65519616 x^{2} - 44564480 x + 16777216$ |
$16$ |
[0,8] |
$5^{12}\cdot 61^{12}$ |
$2$ |
$72.9835324231$ |
$72.98353242310733$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[12, 12]$ |
$10$ |
$7$ |
$4866018.67571$ |
| 16.0.648...625.6 |
$x^{16} - 4 x^{15} + 41 x^{14} - 126 x^{13} + 978 x^{12} - 1964 x^{11} + 12609 x^{10} - 20673 x^{9} + 112208 x^{8} - 207249 x^{7} + 983391 x^{6} - 1876433 x^{5} + 8645703 x^{4} - 17027763 x^{3} + 37293974 x^{2} - 33563693 x + 63101531$ |
$16$ |
[0,8] |
$5^{12}\cdot 61^{12}$ |
$2$ |
$72.9835324231$ |
$72.98353242310733$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2, 6, 30]$ |
$2$ |
$7$ |
$320579.979552$ |
| 16.0.648...625.8 |
$x^{16} - 2 x^{15} + 10 x^{14} + 135 x^{13} + 2136 x^{12} - 4780 x^{11} + 46571 x^{10} + 216170 x^{9} + 341046 x^{8} + 2060735 x^{7} + 17453050 x^{6} + 35047982 x^{5} + 39593521 x^{4} + 107817400 x^{3} + 365353240 x^{2} + 691165560 x + 791267920$ |
$16$ |
[0,8] |
$5^{12}\cdot 61^{12}$ |
$2$ |
$72.9835324231$ |
$72.98353242310733$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2, 6, 6]$ |
$2$ |
$7$ |
$7602239.42975$ |
| 16.0.824...721.1 |
$x^{16} - 4 x^{15} - 23 x^{14} + 98 x^{13} + 246 x^{12} - 1492 x^{11} + 537 x^{10} + 7567 x^{9} - 13310 x^{8} - 1665 x^{7} + 62333 x^{6} - 30189 x^{5} + 55705 x^{4} + 235277 x^{3} + 226780 x^{2} + 67135 x + 58841$ |
$16$ |
[0,8] |
$13^{12}\cdot 29^{12}$ |
$2$ |
$85.5570915546$ |
$85.55709155460606$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[12, 12]$ |
$2$ |
$7$ |
$2985208.11128$ |
| 16.0.824...721.4 |
$x^{16} - 31 x^{14} - 66 x^{13} + 581 x^{12} - 162 x^{11} - 940 x^{10} - 2149 x^{9} + 59327 x^{8} - 155387 x^{7} + 87135 x^{6} - 9376 x^{5} - 3004289 x^{4} + 3617292 x^{3} + 12664385 x^{2} - 3357557 x + 4004113$ |
$16$ |
[0,8] |
$13^{12}\cdot 29^{12}$ |
$2$ |
$85.5570915546$ |
$85.55709155460606$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2, 6, 30]$ |
$2$ |
$7$ |
$1447320.78419$ |
| 16.0.824...721.8 |
$x^{16} - 2 x^{15} + 10 x^{14} + 369 x^{13} + 820 x^{12} - 18754 x^{11} - 64949 x^{10} + 378230 x^{9} + 3768300 x^{8} + 8212415 x^{7} + 13124314 x^{6} + 37922114 x^{5} + 106741005 x^{4} + 159631694 x^{3} + 91351640 x^{2} + 478872560 x + 849081392$ |
$16$ |
[0,8] |
$13^{12}\cdot 29^{12}$ |
$2$ |
$85.5570915546$ |
$85.55709155460606$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2, 6, 6]$ |
$2$ |
$7$ |
$8238717.72759$ |
| 16.0.603...625.5 |
$x^{16} - x^{15} + 34 x^{14} - 17 x^{13} + 1081 x^{12} - 2863 x^{11} + 37414 x^{10} - 77707 x^{9} + 1160571 x^{8} - 1831298 x^{7} + 3157636 x^{6} - 4940264 x^{5} + 8292784 x^{4} + 1210688 x^{3} + 176896 x^{2} + 25600 x + 4096$ |
$16$ |
[0,8] |
$5^{12}\cdot 89^{12}$ |
$2$ |
$96.888003818$ |
$96.8880038179619$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2, 6, 60]$ |
$10$ |
$7$ |
$14693160.0683$ |
| 16.0.603...625.20 |
$x^{16} - 5 x^{15} + 97 x^{14} - 450 x^{13} + 3620 x^{12} - 15095 x^{11} + 81672 x^{10} - 331650 x^{9} + 1434649 x^{8} - 5203580 x^{7} + 13030788 x^{6} - 13507995 x^{5} + 18270660 x^{4} - 19110520 x^{3} + 29677943 x^{2} - 30739535 x + 41700391$ |
$16$ |
[0,8] |
$5^{12}\cdot 89^{12}$ |
$2$ |
$96.888003818$ |
$96.8880038179619$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2, 24, 240]$ |
$2$ |
$7$ |
$95443.616698$ |
| 16.0.603...625.23 |
$x^{16} - 4 x^{15} - 59 x^{14} + 224 x^{13} + 1913 x^{12} - 5644 x^{11} - 40746 x^{10} + 93377 x^{9} + 564003 x^{8} - 1189269 x^{7} - 5269299 x^{6} + 11501862 x^{5} + 40514783 x^{4} - 92662748 x^{3} - 168241441 x^{2} + 248573337 x + 498229211$ |
$16$ |
[0,8] |
$5^{12}\cdot 89^{12}$ |
$2$ |
$96.888003818$ |
$96.8880038179619$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2, 6, 12]$ |
$2$ |
$7$ |
$8274413.16122$ |
| 16.16.275...625.1 |
$x^{16} - x^{15} - 149 x^{14} + 129 x^{13} + 7381 x^{12} - 8750 x^{11} - 146355 x^{10} + 254535 x^{9} + 1101440 x^{8} - 2333750 x^{7} - 3101025 x^{6} + 7870550 x^{5} + 2368075 x^{4} - 8288250 x^{3} - 1506750 x^{2} + 2731125 x + 822625$ |
$16$ |
[16,0] |
$5^{12}\cdot 101^{12}$ |
$2$ |
$106.529167613$ |
$106.52916761335055$ |
|
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2]$ |
$2$ |
$15$ |
$124311294467$ |
| 16.0.275...625.40 |
$x^{16} - x^{15} - 37 x^{14} + 31 x^{13} + 563 x^{12} - 3976 x^{11} + 4075 x^{10} + 76105 x^{9} - 156054 x^{8} - 48180 x^{7} + 3496685 x^{6} - 7936374 x^{5} + 9489133 x^{4} + 64628944 x^{3} - 3939082 x^{2} + 368350701 x + 906892741$ |
$16$ |
[0,8] |
$5^{12}\cdot 101^{12}$ |
$2$ |
$106.529167613$ |
$106.52916761335055$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2, 2, 4, 4, 40]$ |
$2$ |
$7$ |
$6501070.6915$ |
| 16.0.275...625.44 |
$x^{16} - x^{15} - 12 x^{14} - 95 x^{13} + 111 x^{12} - 4895 x^{11} + 17972 x^{10} + 57043 x^{9} + 267861 x^{8} - 1893360 x^{7} + 9041980 x^{6} - 31402800 x^{5} + 71416400 x^{4} - 255944000 x^{3} + 744952000 x^{2} - 2109120000 x + 4569760000$ |
$16$ |
[0,8] |
$5^{12}\cdot 101^{12}$ |
$2$ |
$106.529167613$ |
$106.52916761335055$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2, 2, 2, 20, 40]$ |
$10$ |
$7$ |
$6501070.6915$ |
| 16.0.686...625.1 |
$x^{16} - 5 x^{15} + 54 x^{14} - 330 x^{13} + 2665 x^{12} - 14440 x^{11} + 113001 x^{10} - 765600 x^{9} + 5410069 x^{8} - 26546400 x^{7} + 94786356 x^{6} - 239767135 x^{5} + 439402015 x^{4} - 537558270 x^{3} + 460788564 x^{2} - 253328120 x + 78074896$ |
$16$ |
[0,8] |
$5^{12}\cdot 109^{12}$ |
$2$ |
$112.796955223$ |
$112.79695522319004$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[10, 10, 10]$ |
$10$ |
$7$ |
$29917425.3971$ |
| 16.0.686...625.6 |
$x^{16} - 4 x^{15} + 89 x^{14} - 294 x^{13} + 4015 x^{12} - 11714 x^{11} + 118502 x^{10} - 287877 x^{9} + 2380153 x^{8} - 4384707 x^{7} + 33049817 x^{6} - 40610728 x^{5} + 311208069 x^{4} - 202336688 x^{3} + 1801687213 x^{2} - 398902253 x + 4791131651$ |
$16$ |
[0,8] |
$5^{12}\cdot 109^{12}$ |
$2$ |
$112.796955223$ |
$112.79695522319004$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[20, 340]$ |
$2$ |
$7$ |
$1179924.17361$ |
| 16.0.686...625.8 |
$x^{16} + 285 x^{14} + 32109 x^{12} + 1840490 x^{10} + 57640466 x^{8} + 976886210 x^{6} + 8211857189 x^{4} + 27886579105 x^{2} + 27982932961$ |
$16$ |
[0,8] |
$5^{12}\cdot 109^{12}$ |
$2$ |
$112.796955223$ |
$112.79695522319004$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2, 10, 10]$ |
$2$ |
$7$ |
$30581868.8278$ |
| 16.16.114...321.1 |
$x^{16} - x^{15} - 212 x^{14} + 188 x^{13} + 14729 x^{12} - 23010 x^{11} - 425769 x^{10} + 1107152 x^{9} + 4184332 x^{8} - 18037073 x^{7} + 11515707 x^{6} + 33312812 x^{5} - 58857565 x^{4} + 30604631 x^{3} - 1439221 x^{2} - 1963061 x - 8161$ |
$16$ |
[16,0] |
$13^{12}\cdot 53^{12}$ |
$2$ |
$134.482079636$ |
$134.48207963630105$ |
|
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2]$ |
$2$ |
$15$ |
$378472370764$ |
| 16.0.114...321.18 |
$x^{16} - 4 x^{15} + 93 x^{14} - 308 x^{13} + 3119 x^{12} - 10176 x^{11} + 51702 x^{10} - 162303 x^{9} + 522505 x^{8} - 1351737 x^{7} + 3249693 x^{6} - 6525662 x^{5} + 11390353 x^{4} - 16782028 x^{3} + 20319485 x^{2} - 16382503 x + 6828071$ |
$16$ |
[0,8] |
$13^{12}\cdot 53^{12}$ |
$2$ |
$134.482079636$ |
$134.48207963630105$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2, 4, 4, 8, 8]$ |
$2$ |
$7$ |
$8979144.94$ |
| 16.0.114...321.35 |
$x^{16} + 33 x^{14} - 46 x^{13} + 795 x^{12} - 794 x^{11} + 9142 x^{10} + 8403 x^{9} + 54723 x^{8} + 128673 x^{7} + 210951 x^{6} + 849452 x^{5} + 8132377 x^{4} + 935100 x^{3} + 27985873 x^{2} - 64315489 x + 61062797$ |
$16$ |
[0,8] |
$13^{12}\cdot 53^{12}$ |
$2$ |
$134.482079636$ |
$134.48207963630105$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2, 2, 4, 16, 16]$ |
$2$ |
$7$ |
$8979144.94$ |
| 16.0.292...625.1 |
$x^{16} - 5 x^{15} + 69 x^{14} - 70 x^{13} + 2770 x^{12} - 1125 x^{11} + 184986 x^{10} + 510300 x^{9} + 7821279 x^{8} - 4592700 x^{7} + 14983866 x^{6} + 820125 x^{5} + 18173970 x^{4} + 4133430 x^{3} + 36669429 x^{2} + 23914845 x + 43046721$ |
$16$ |
[0,8] |
$5^{12}\cdot 149^{12}$ |
$2$ |
$142.59923792$ |
$142.59923791975436$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[10, 10, 10]$ |
$10$ |
$7$ |
$106425286.202$ |
| 16.0.292...625.6 |
$x^{16} - 4 x^{15} + 109 x^{14} - 364 x^{13} + 6330 x^{12} - 19774 x^{11} + 227457 x^{10} - 596057 x^{9} + 5325668 x^{8} - 9941937 x^{7} + 86452747 x^{6} - 92670513 x^{5} + 1175303819 x^{4} - 209534153 x^{3} + 9069376118 x^{2} + 174773137 x + 45464483611$ |
$16$ |
[0,8] |
$5^{12}\cdot 149^{12}$ |
$2$ |
$142.59923792$ |
$142.59923791975436$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[5, 60, 60]$ |
$2$ |
$7$ |
$2895687.10401$ |
| 16.0.292...625.8 |
$x^{16} - 2 x^{15} + 15 x^{14} + 345 x^{13} - 8761 x^{12} - 21267 x^{11} - 3437 x^{10} + 998855 x^{9} + 18367581 x^{8} - 37933807 x^{7} + 155539363 x^{6} - 563384901 x^{5} - 11591574241 x^{4} + 9061447011 x^{3} - 118330534131 x^{2} + 1006440846256 x + 9114300768451$ |
$16$ |
[0,8] |
$5^{12}\cdot 149^{12}$ |
$2$ |
$142.59923792$ |
$142.59923791975436$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2, 10, 10]$ |
$2$ |
$7$ |
$119396488.81$ |
| 16.16.618...401.1 |
$x^{16} - 5 x^{15} - 221 x^{14} + 1528 x^{13} + 11835 x^{12} - 107804 x^{11} - 119494 x^{10} + 2467270 x^{9} - 2022752 x^{8} - 20231211 x^{7} + 28230493 x^{6} + 62582502 x^{5} - 87126427 x^{4} - 66676452 x^{3} + 55262142 x^{2} - 6612084 x + 105543$ |
$16$ |
[16,0] |
$13^{12}\cdot 61^{12}$ |
$2$ |
$149.435881751$ |
$149.4358817512091$ |
|
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2]$ |
$2$ |
$15$ |
$2287406525140$ |
| 16.0.618...401.15 |
$x^{16} - 4 x^{15} + 153 x^{14} - 518 x^{13} + 8811 x^{12} - 23274 x^{11} + 227730 x^{10} - 437329 x^{9} + 2534757 x^{8} - 3186879 x^{7} + 8460029 x^{6} - 126984 x^{5} + 6144281 x^{4} - 9463368 x^{3} + 5579973 x^{2} + 24448631 x + 15614639$ |
$16$ |
[0,8] |
$13^{12}\cdot 61^{12}$ |
$2$ |
$149.435881751$ |
$149.4358817512091$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2, 2, 4, 4, 8]$ |
$2$ |
$7$ |
$308589653.463$ |
| 16.0.618...401.29 |
$x^{16} + 37 x^{14} - 72 x^{13} + 994 x^{12} - 1998 x^{11} + 18125 x^{10} - 71199 x^{9} + 167858 x^{8} - 831663 x^{7} + 2597153 x^{6} - 9535563 x^{5} + 21565485 x^{4} - 26219943 x^{3} + 63196200 x^{2} - 79315929 x + 190380537$ |
$16$ |
[0,8] |
$13^{12}\cdot 61^{12}$ |
$2$ |
$149.435881751$ |
$149.4358817512091$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2, 2, 2, 36, 360]$ |
$2$ |
$7$ |
$308589653.463$ |
| 16.0.286...801.7 |
$x^{16} - 4 x^{15} + x^{14} + 14 x^{13} + 450 x^{12} - 3772 x^{11} + 4773 x^{10} + 5215 x^{9} - 100624 x^{8} + 363819 x^{7} - 510377 x^{6} - 1201029 x^{5} + 25631015 x^{4} + 40577113 x^{3} - 42465958 x^{2} - 41607389 x + 68049763$ |
$16$ |
[0,8] |
$17^{12}\cdot 53^{12}$ |
$2$ |
$164.453678882$ |
$164.45367888158097$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2, 14, 476]$ |
$2$ |
$7$ |
$6878292.5579$ |
| 16.0.286...801.9 |
$x^{16} - 4 x^{15} + 17 x^{14} - 42 x^{13} + 507 x^{12} - 1058 x^{11} + 7486 x^{10} - 15529 x^{9} + 51943 x^{8} - 103927 x^{7} + 1100675 x^{6} - 1990836 x^{5} + 15449301 x^{4} - 21086696 x^{3} + 68885217 x^{2} - 46191701 x + 90915613$ |
$16$ |
[0,8] |
$17^{12}\cdot 53^{12}$ |
$2$ |
$164.453678882$ |
$164.45367888158097$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2, 70, 140]$ |
$2$ |
$7$ |
$6596954.07823$ |
| 16.0.286...801.23 |
$x^{16} - 3 x^{15} + 183 x^{14} - 159 x^{13} + 13024 x^{12} + 19563 x^{11} + 442958 x^{10} + 2076975 x^{9} + 14494211 x^{8} + 72959856 x^{7} + 412915231 x^{6} + 1894750586 x^{5} + 6943110997 x^{4} + 18036657805 x^{3} + 32555640354 x^{2} + 33661076896 x + 15061337953$ |
$16$ |
[0,8] |
$17^{12}\cdot 53^{12}$ |
$2$ |
$164.453678882$ |
$164.45367888158097$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2, 280, 560]$ |
$2$ |
$7$ |
$452391.453967$ |
| 16.16.262...681.1 |
$x^{16} - x^{15} - 386 x^{14} - 978 x^{13} + 33397 x^{12} + 90172 x^{11} - 1157913 x^{10} - 2853491 x^{9} + 18517725 x^{8} + 38672703 x^{7} - 135765373 x^{6} - 223518780 x^{5} + 384304713 x^{4} + 466800116 x^{3} - 276793968 x^{2} - 345202792 x - 53337296$ |
$16$ |
[16,0] |
$13^{12}\cdot 101^{12}$ |
$2$ |
$218.121534626$ |
$218.12153462557237$ |
|
✓ |
|
$C_4:C_4$ (as 16T8) |
trivial |
$2$ |
$15$ |
$60692462322400$ |
| 16.0.262...681.4 |
$x^{16} - 4 x^{15} + 141 x^{14} - 476 x^{13} + 7718 x^{12} - 21126 x^{11} + 204969 x^{10} - 440625 x^{9} + 2836720 x^{8} - 4701297 x^{7} + 19646115 x^{6} - 24590405 x^{5} + 54351103 x^{4} - 58934929 x^{3} - 17975866 x^{2} - 15162339 x + 71134267$ |
$16$ |
[0,8] |
$13^{12}\cdot 101^{12}$ |
$2$ |
$218.121534626$ |
$218.12153462557237$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[5, 5, 10, 20]$ |
$2$ |
$7$ |
$151720134.33$ |
| 16.0.262...681.6 |
$x^{16} + 57 x^{14} - 334 x^{13} + 2319 x^{12} - 13622 x^{11} + 104686 x^{10} - 518319 x^{9} + 2090613 x^{8} - 11794245 x^{7} + 51922689 x^{6} - 174630340 x^{5} + 510117913 x^{4} - 1506235284 x^{3} + 4103046553 x^{2} - 6992958031 x + 6194357651$ |
$16$ |
[0,8] |
$13^{12}\cdot 101^{12}$ |
$2$ |
$218.121534626$ |
$218.12153462557237$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[26, 260]$ |
$2$ |
$7$ |
$151720134.33$ |
| 16.0.143...481.3 |
$x^{16} - 4 x^{15} - 39 x^{14} + 154 x^{13} + 1509 x^{12} - 2202 x^{11} - 33967 x^{10} + 37482 x^{9} + 478829 x^{8} - 1172884 x^{7} - 2897647 x^{6} + 13350656 x^{5} + 85842500 x^{4} - 404797504 x^{3} + 30548912 x^{2} + 646882304 x + 2548078528$ |
$16$ |
[0,8] |
$17^{12}\cdot 89^{12}$ |
$2$ |
$242.593519957$ |
$242.5935199570227$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[28, 728]$ |
$2$ |
$7$ |
$651512602.568$ |
| 16.0.143...481.10 |
$x^{16} - 4 x^{15} + 213 x^{14} - 728 x^{13} + 23472 x^{12} - 67494 x^{11} + 1674140 x^{10} - 3988680 x^{9} + 82648724 x^{8} - 159005322 x^{7} + 2881145428 x^{6} - 4255788538 x^{5} + 68938613619 x^{4} - 70436280004 x^{3} + 1014049127255 x^{2} - 539518460270 x + 6855061765612$ |
$16$ |
[0,8] |
$17^{12}\cdot 89^{12}$ |
$2$ |
$242.593519957$ |
$242.5935199570227$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[2, 602, 602]$ |
$2$ |
$7$ |
$22977967.6331$ |
| 16.0.143...481.11 |
$x^{16} - 2 x^{15} + 20 x^{14} - 1532 x^{13} + 18456 x^{12} - 36352 x^{11} - 2708722 x^{10} + 6899572 x^{9} - 254586024 x^{8} + 2092644532 x^{7} + 7734173792 x^{6} + 40074764600 x^{5} + 1722809966457 x^{4} - 6943784680154 x^{3} + 59097374743052 x^{2} - 419116620051792 x + 1373873435767232$ |
$16$ |
[0,8] |
$17^{12}\cdot 89^{12}$ |
$2$ |
$242.593519957$ |
$242.5935199570227$ |
✓ |
✓ |
|
$C_4:C_4$ (as 16T8) |
$[7, 14, 14, 14]$ |
$2$ |
$7$ |
$715570753.662$ |
