| 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 |
| 16.8.431...824.1 |
$x^{16} - 5 x^{15} + 4 x^{14} + 20 x^{13} - 53 x^{12} + 34 x^{11} + 55 x^{10} - 59 x^{9} - 185 x^{8} + 535 x^{7} - 642 x^{6} + 357 x^{5} - 2 x^{4} - 105 x^{3} + 55 x^{2} - 12 x + 1$ |
$16$ |
[8,4] |
$2^{8}\cdot 17^{14}$ |
$2$ |
$16.8716595797$ |
$23.86012979730628$ |
|
|
? |
$C_2^2 : C_8$ (as 16T24) |
trivial |
$2$ |
$11$ |
$6029.25109451$ |
| 16.8.737...464.2 |
$x^{16} - 8 x^{14} + 12 x^{12} - 8 x^{10} + 42 x^{8} - 72 x^{6} + 36 x^{4} - 8 x^{2} + 1$ |
$16$ |
[8,4] |
$2^{66}$ |
$1$ |
$17.4481237226$ |
$18.220618156107065$ |
|
|
? |
$C_2^2 : C_8$ (as 16T24) |
trivial |
$2$ |
$11$ |
$13514.1847612$ |
| 16.0.737...464.5 |
$x^{16} + 8 x^{14} + 12 x^{12} + 8 x^{10} + 42 x^{8} + 72 x^{6} + 36 x^{4} + 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{66}$ |
$1$ |
$17.4481237226$ |
$18.220618156107065$ |
|
|
? |
$C_2^2 : C_8$ (as 16T24) |
trivial |
$2$ |
$7$ |
$2144.91235635$ |
| 16.0.689...184.1 |
$x^{16} - 4 x^{15} + 10 x^{14} - 26 x^{13} + 91 x^{12} - 270 x^{11} + 616 x^{10} - 1088 x^{9} + 1602 x^{8} - 2040 x^{7} + 2320 x^{6} - 2302 x^{5} + 2098 x^{4} - 1620 x^{3} + 1066 x^{2} - 420 x + 67$ |
$16$ |
[0,8] |
$2^{12}\cdot 17^{14}$ |
$2$ |
$20.063897614$ |
$33.74331915933294$ |
✓ |
|
? |
$C_2^2 : C_8$ (as 16T24) |
trivial |
$2$ |
$7$ |
$3640.01221338$ |
| 16.0.480...169.2 |
$x^{16} - 3 x^{15} + 11 x^{14} - 11 x^{13} + 59 x^{12} + 28 x^{11} + 249 x^{10} + 217 x^{9} + 546 x^{8} + 150 x^{7} + 462 x^{6} + 117 x^{5} + 393 x^{4} + 220 x^{3} + 192 x^{2} + 72 x + 16$ |
$16$ |
[0,8] |
$13^{4}\cdot 17^{14}$ |
$2$ |
$22.6531522723$ |
$43.014460711706995$ |
✓ |
|
|
$C_2^2 : C_8$ (as 16T24) |
$[4]$ |
$2$ |
$7$ |
$3640.01221338$ |
| 16.0.110...944.2 |
$x^{16} + 18 x^{14} + 129 x^{12} + 419 x^{10} + 678 x^{8} + 673 x^{6} + 415 x^{4} + 47 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 17^{14}$ |
$2$ |
$23.8601297973$ |
$23.86012979730628$ |
|
|
|
$C_2^2 : C_8$ (as 16T24) |
$[2, 2]$ |
$2$ |
$7$ |
$5872.0012145$ |
| 16.8.219...209.1 |
$x^{16} - 3 x^{15} - 2 x^{14} + 38 x^{13} - 191 x^{11} - 165 x^{10} + 348 x^{9} + 357 x^{8} - 551 x^{7} - 227 x^{6} + 669 x^{5} + 153 x^{4} - 258 x^{3} - 64 x^{2} + 16 x + 16$ |
$16$ |
[8,4] |
$17^{14}\cdot 19^{4}$ |
$2$ |
$24.9075612203$ |
$52.00194728311084$ |
|
|
|
$C_2^2 : C_8$ (as 16T24) |
trivial |
$2$ |
$11$ |
$153986.024054$ |
| 16.16.176...104.1 |
$x^{16} - 23 x^{14} + 190 x^{12} - 744 x^{10} + 1505 x^{8} - 1600 x^{6} + 872 x^{4} - 216 x^{2} + 16$ |
$16$ |
[16,0] |
$2^{20}\cdot 17^{14}$ |
$2$ |
$28.3746361198$ |
$47.72025959461256$ |
|
|
? |
$C_2^2 : C_8$ (as 16T24) |
trivial |
$2$ |
$15$ |
$2097610.66881$ |
| 16.0.177...064.1 |
$x^{16} + 24 x^{14} + 172 x^{12} + 568 x^{10} + 970 x^{8} + 856 x^{6} + 356 x^{4} + 56 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{66}\cdot 7^{4}$ |
$2$ |
$28.3807090929$ |
$48.207224374927556$ |
✓ |
|
? |
$C_2^2 : C_8$ (as 16T24) |
$[10]$ |
$2$ |
$7$ |
$10363.0326175$ |
| 16.16.177...064.1 |
$x^{16} - 24 x^{14} + 172 x^{12} - 568 x^{10} + 970 x^{8} - 856 x^{6} + 356 x^{4} - 56 x^{2} + 1$ |
$16$ |
[16,0] |
$2^{66}\cdot 7^{4}$ |
$2$ |
$28.3807090929$ |
$48.207224374927556$ |
|
|
? |
$C_2^2 : C_8$ (as 16T24) |
trivial |
$2$ |
$15$ |
$3488512.53741$ |
| 16.0.385...984.1 |
$x^{16} - 8 x^{15} + 60 x^{14} - 280 x^{13} + 1118 x^{12} - 3432 x^{11} + 8804 x^{10} - 18280 x^{9} + 31113 x^{8} - 42800 x^{7} + 47208 x^{6} - 41040 x^{5} + 27432 x^{4} - 13568 x^{3} + 4648 x^{2} - 976 x + 94$ |
$16$ |
[0,8] |
$2^{62}\cdot 17^{4}$ |
$2$ |
$29.7922609668$ |
$60.49447246802112$ |
✓ |
|
? |
$C_2^2 : C_8$ (as 16T24) |
$[2]$ |
$2$ |
$7$ |
$192236.169388$ |
| 16.8.484...304.4 |
$x^{16} - 8 x^{14} - 32 x^{13} - 8 x^{12} + 112 x^{11} + 80 x^{10} + 320 x^{9} + 362 x^{8} - 1808 x^{7} - 1568 x^{6} + 2432 x^{5} + 1232 x^{4} - 1136 x^{3} - 40 x^{2} + 112 x - 17$ |
$16$ |
[8,4] |
$2^{66}\cdot 3^{8}$ |
$2$ |
$30.22103678436744$ |
$31.559036391689393$ |
|
|
? |
$C_2^2 : C_8$ (as 16T24) |
trivial |
$2$ |
$11$ |
$2155393.466870904$ |
| 16.8.484...304.44 |
$x^{16} - 8 x^{14} + 52 x^{12} - 408 x^{10} + 1822 x^{8} - 4024 x^{6} + 4500 x^{4} - 2472 x^{2} + 289$ |
$16$ |
[8,4] |
$2^{66}\cdot 3^{8}$ |
$2$ |
$30.22103678436744$ |
$31.559036391689393$ |
|
|
? |
$C_2^2 : C_8$ (as 16T24) |
trivial |
$2$ |
$11$ |
$1063863.751199081$ |
| 16.8.484...304.46 |
$x^{16} - 24 x^{14} + 108 x^{12} - 216 x^{10} + 3402 x^{8} - 17496 x^{6} + 26244 x^{4} - 17496 x^{2} + 6561$ |
$16$ |
[8,4] |
$2^{66}\cdot 3^{8}$ |
$2$ |
$30.22103678436744$ |
$31.559036391689393$ |
|
|
? |
$C_2^2 : C_8$ (as 16T24) |
trivial |
$2$ |
$11$ |
$983030.5219427672$ |
| 16.0.484...304.196 |
$x^{16} + 8 x^{14} + 52 x^{12} + 408 x^{10} + 1822 x^{8} + 4024 x^{6} + 4500 x^{4} + 2472 x^{2} + 289$ |
$16$ |
[0,8] |
$2^{66}\cdot 3^{8}$ |
$2$ |
$30.22103678436744$ |
$31.559036391689393$ |
|
|
? |
$C_2^2 : C_8$ (as 16T24) |
$[2]$ |
$2$ |
$7$ |
$84425.90306942147$ |
| 16.0.484...304.261 |
$x^{16} - 8 x^{14} - 16 x^{13} + 16 x^{12} + 96 x^{11} + 344 x^{10} + 784 x^{9} + 1758 x^{8} + 2512 x^{7} + 4256 x^{6} + 4032 x^{5} + 5296 x^{4} + 3104 x^{3} + 3280 x^{2} + 912 x + 799$ |
$16$ |
[0,8] |
$2^{66}\cdot 3^{8}$ |
$2$ |
$30.22103678436744$ |
$31.559036391689393$ |
|
|
? |
$C_2^2 : C_8$ (as 16T24) |
$[3, 6]$ |
$2$ |
$7$ |
$28179.76782913505$ |
| 16.0.484...304.300 |
$x^{16} + 24 x^{14} + 108 x^{12} + 216 x^{10} + 3402 x^{8} + 17496 x^{6} + 26244 x^{4} + 17496 x^{2} + 6561$ |
$16$ |
[0,8] |
$2^{66}\cdot 3^{8}$ |
$2$ |
$30.22103678436744$ |
$31.559036391689393$ |
|
|
? |
$C_2^2 : C_8$ (as 16T24) |
$[3, 6]$ |
$2$ |
$7$ |
$12852.211117405135$ |
| 16.8.575...129.1 |
$x^{16} - x^{15} + 7 x^{14} + 15 x^{13} - 62 x^{12} + 43 x^{11} - 310 x^{10} - 629 x^{9} - 268 x^{8} - 1921 x^{7} + 1573 x^{6} - 776 x^{5} + 7 x^{4} + 1618 x^{3} - 556 x^{2} - 184 x + 16$ |
$16$ |
[8,4] |
$17^{14}\cdot 43^{4}$ |
$2$ |
$30.5499089414$ |
$78.23066716385114$ |
|
|
|
$C_2^2 : C_8$ (as 16T24) |
trivial |
$2$ |
$11$ |
$549740.860993$ |
| 16.8.821...649.2 |
$x^{16} - 3 x^{15} + x^{14} - 40 x^{13} - 136 x^{12} - 203 x^{11} - 694 x^{10} + 178 x^{9} + 427 x^{8} + 2206 x^{7} + 2572 x^{6} + 2059 x^{5} + 1224 x^{4} + 116 x^{3} - 115 x^{2} - 11 x + 1$ |
$16$ |
[8,4] |
$17^{14}\cdot 47^{4}$ |
$2$ |
$31.2368527756$ |
$81.7884043055344$ |
|
|
|
$C_2^2 : C_8$ (as 16T24) |
trivial |
$2$ |
$11$ |
$864723.662197$ |
| 16.16.132...849.1 |
$x^{16} - x^{15} - 36 x^{14} + 8 x^{13} + 481 x^{12} + 140 x^{11} - 2935 x^{10} - 1689 x^{9} + 8381 x^{8} + 5551 x^{7} - 10875 x^{6} - 6618 x^{5} + 5375 x^{4} + 2400 x^{3} - 936 x^{2} - 216 x + 16$ |
$16$ |
[16,0] |
$17^{14}\cdot 53^{4}$ |
$2$ |
$32.189317873$ |
$86.8521834484431$ |
|
|
|
$C_2^2 : C_8$ (as 16T24) |
trivial |
$2$ |
$15$ |
$6471571.45455$ |
| 16.0.154...936.3 |
$x^{16} + 32 x^{14} + 432 x^{12} + 3200 x^{10} + 14144 x^{8} + 37888 x^{6} + 59376 x^{4} + 49024 x^{2} + 16129$ |
$16$ |
[0,8] |
$2^{64}\cdot 17^{4}$ |
$2$ |
$32.4886909579$ |
$65.96969000988257$ |
✓ |
|
? |
$C_2^2 : C_8$ (as 16T24) |
$[2, 10]$ |
$2$ |
$7$ |
$12675.9605024$ |
| 16.8.204...369.1 |
$x^{16} - x^{15} - 6 x^{14} - 14 x^{13} - 27 x^{12} + 16 x^{11} - 29 x^{10} + 465 x^{9} + 1927 x^{8} + 2351 x^{7} + 3 x^{6} - 7778 x^{5} - 8065 x^{4} + 4528 x^{3} + 5600 x^{2} + 1216 x + 256$ |
$16$ |
[8,4] |
$17^{14}\cdot 59^{4}$ |
$2$ |
$33.0640317354$ |
$91.6365672680861$ |
|
|
|
$C_2^2 : C_8$ (as 16T24) |
trivial |
$2$ |
$11$ |
$1322848.31436$ |
| 16.0.282...664.2 |
$x^{16} - 6 x^{14} + 54 x^{12} - 64 x^{10} + 587 x^{8} - 240 x^{6} + 5870 x^{4} - 6030 x^{2} + 2209$ |
$16$ |
[0,8] |
$2^{24}\cdot 17^{14}$ |
$2$ |
$33.7433191593$ |
$47.72025959461256$ |
✓ |
|
|
$C_2^2 : C_8$ (as 16T24) |
$[2, 2]$ |
$2$ |
$7$ |
$131202.513168$ |
| 16.8.339...409.2 |
$x^{16} - 6 x^{15} + 4 x^{14} + 54 x^{13} - 119 x^{12} - 138 x^{11} + 532 x^{10} + 463 x^{9} - 2582 x^{8} + 196 x^{7} + 8673 x^{6} - 14128 x^{5} - 2278 x^{4} + 22735 x^{3} - 14330 x^{2} + 2077 x - 67$ |
$16$ |
[8,4] |
$17^{14}\cdot 67^{4}$ |
$2$ |
$34.1319819176$ |
$97.65178978680869$ |
|
|
|
$C_2^2 : C_8$ (as 16T24) |
trivial |
$2$ |
$11$ |
$1961937.73949$ |
| 16.8.799...209.1 |
$x^{16} - 3 x^{15} - 15 x^{14} + 87 x^{13} - 11 x^{12} - 994 x^{11} + 99 x^{10} + 4303 x^{9} + 3872 x^{8} - 8624 x^{7} - 8914 x^{6} + 19675 x^{5} - 27 x^{4} - 26064 x^{3} + 6272 x^{2} + 6656 x + 4096$ |
$16$ |
[8,4] |
$17^{14}\cdot 83^{4}$ |
$2$ |
$36.0091051748$ |
$108.68806385406027$ |
|
|
|
$C_2^2 : C_8$ (as 16T24) |
trivial |
$2$ |
$11$ |
$2930814.43896$ |
| 16.0.105...889.2 |
$x^{16} - 3 x^{15} + 34 x^{14} - 31 x^{13} + 473 x^{12} + 101 x^{11} + 3660 x^{10} + 2113 x^{9} + 15141 x^{8} + 6850 x^{7} + 32800 x^{6} + 14640 x^{5} + 41808 x^{4} + 19840 x^{3} + 26112 x^{2} + 9216 x + 4096$ |
$16$ |
[0,8] |
$17^{14}\cdot 89^{4}$ |
$2$ |
$36.6429396966$ |
$112.54800715810448$ |
✓ |
|
|
$C_2^2 : C_8$ (as 16T24) |
$[140]$ |
$2$ |
$7$ |
$3640.01221338$ |
| 16.0.237...625.1 |
$x^{16} - 5 x^{15} + 27 x^{14} - 99 x^{13} + 347 x^{12} - 1044 x^{11} + 2589 x^{10} - 5723 x^{9} + 11360 x^{8} - 20192 x^{7} + 32032 x^{6} - 44891 x^{5} + 52463 x^{4} - 53128 x^{3} + 54312 x^{2} - 46472 x + 21904$ |
$16$ |
[0,8] |
$5^{4}\cdot 41^{14}$ |
$2$ |
$38.5414789426$ |
$57.632953563318466$ |
✓ |
|
|
$C_2^2 : C_8$ (as 16T24) |
$[3]$ |
$2$ |
$7$ |
$322589.683722$ |
| 16.0.137...809.11 |
$x^{16} - 2 x^{15} + 34 x^{14} - 86 x^{13} + 539 x^{12} - 1176 x^{11} + 4498 x^{10} - 8465 x^{9} + 22378 x^{8} - 36402 x^{7} + 69763 x^{6} - 83044 x^{5} + 129016 x^{4} - 87451 x^{3} + 105638 x^{2} - 40729 x + 17407$ |
$16$ |
[0,8] |
$13^{8}\cdot 17^{14}$ |
$2$ |
$43.0144607117$ |
$43.014460711706995$ |
✓ |
|
|
$C_2^2 : C_8$ (as 16T24) |
$[2, 2, 4]$ |
$2$ |
$7$ |
$232376.238125$ |
| 16.0.285...089.3 |
$x^{16} - 2 x^{15} - 8 x^{14} + 30 x^{13} - 39 x^{12} - 110 x^{11} + 1336 x^{10} - 5341 x^{9} + 18122 x^{8} - 41394 x^{7} + 94489 x^{6} - 151578 x^{5} + 256578 x^{4} - 246727 x^{3} + 388080 x^{2} - 78291 x + 242827$ |
$16$ |
[0,8] |
$17^{14}\cdot 19^{8}$ |
$2$ |
$52.0019472831$ |
$52.00194728311084$ |
|
|
|
$C_2^2 : C_8$ (as 16T24) |
$[10, 10]$ |
$2$ |
$7$ |
$149969.889475$ |
| 16.0.988...129.1 |
$x^{16} - 3 x^{15} + 12 x^{14} - 11 x^{13} - 70 x^{12} + 243 x^{11} - 1544 x^{10} + 2471 x^{9} - 4787 x^{8} - 4508 x^{7} + 70900 x^{6} - 163440 x^{5} + 642304 x^{4} - 1005056 x^{3} + 2335744 x^{2} - 1929216 x + 2916352$ |
$16$ |
[0,8] |
$3^{4}\cdot 73^{14}$ |
$2$ |
$56.1937242869$ |
$73.95510022503493$ |
|
|
|
$C_2^2 : C_8$ (as 16T24) |
$[89]$ |
$2$ |
$7$ |
$103600962.089$ |
| 16.0.106...401.2 |
$x^{16} - 2 x^{15} + 6 x^{14} - 16 x^{13} + 102 x^{12} - 104 x^{11} + 967 x^{10} - 3083 x^{9} + 10279 x^{8} - 13606 x^{7} + 67069 x^{6} - 182893 x^{5} + 423774 x^{4} - 115408 x^{3} + 333897 x^{2} + 960577 x + 385867$ |
$16$ |
[0,8] |
$23^{4}\cdot 41^{14}$ |
$2$ |
$56.4440065561$ |
$123.60891451503595$ |
|
|
|
$C_2^2 : C_8$ (as 16T24) |
$[6]$ |
$2$ |
$7$ |
$3403166.59806$ |
| 16.0.148...625.2 |
$x^{16} - 6 x^{15} - 8 x^{14} + 160 x^{13} - 441 x^{12} - 134 x^{11} + 4342 x^{10} - 16579 x^{9} + 43548 x^{8} - 89962 x^{7} + 151269 x^{6} - 210738 x^{5} + 244446 x^{4} - 223845 x^{3} + 154504 x^{2} - 70325 x + 18419$ |
$16$ |
[0,8] |
$5^{8}\cdot 41^{14}$ |
$2$ |
$57.6329535633$ |
$57.632953563318466$ |
✓ |
|
|
$C_2^2 : C_8$ (as 16T24) |
$[3, 3, 6]$ |
$2$ |
$7$ |
$645179.367444$ |
| 16.0.350...881.3 |
$x^{16} - 5 x^{15} + 5 x^{14} + 28 x^{13} + 30 x^{12} - 611 x^{11} + 468 x^{10} + 5496 x^{9} - 10545 x^{8} - 31116 x^{7} + 150416 x^{6} - 219357 x^{5} + 89578 x^{4} - 68160 x^{3} + 648725 x^{2} - 1271875 x + 855625$ |
$16$ |
[0,8] |
$31^{4}\cdot 41^{14}$ |
$2$ |
$60.8171827149$ |
$143.50489707977238$ |
|
|
|
$C_2^2 : C_8$ (as 16T24) |
$[8]$ |
$2$ |
$7$ |
$3814663.53647$ |
| 16.0.710...921.4 |
$x^{16} - 2 x^{15} + 38 x^{14} - 72 x^{13} + 670 x^{12} - 480 x^{11} + 7039 x^{10} + 3597 x^{9} + 43027 x^{8} + 81298 x^{7} + 254629 x^{6} + 796163 x^{5} + 1565210 x^{4} + 2128832 x^{3} + 2066545 x^{2} + 1302809 x + 546239$ |
$16$ |
[0,8] |
$37^{4}\cdot 41^{14}$ |
$2$ |
$63.5676718282$ |
$156.77858364455906$ |
✓ |
|
|
$C_2^2 : C_8$ (as 16T24) |
$[24]$ |
$2$ |
$7$ |
$1905191.05667$ |
| 16.0.129...961.1 |
$x^{16} - 6 x^{15} + 118 x^{13} - 454 x^{12} - 450 x^{11} + 9075 x^{10} - 36523 x^{9} + 80287 x^{8} - 79156 x^{7} - 58067 x^{6} + 350155 x^{5} - 455538 x^{4} + 197266 x^{3} + 619715 x^{2} - 823177 x + 636931$ |
$16$ |
[0,8] |
$41^{14}\cdot 43^{4}$ |
$2$ |
$66.0013758017$ |
$169.01299681773574$ |
|
|
|
$C_2^2 : C_8$ (as 16T24) |
trivial |
$2$ |
$7$ |
$53320614.8559$ |
| 16.0.459...121.1 |
$x^{16} - 2 x^{15} - 2 x^{14} - 84 x^{13} - 146 x^{12} + 108 x^{11} + 3511 x^{10} + 8153 x^{9} + 24141 x^{8} - 27890 x^{7} + 107105 x^{6} + 473927 x^{5} + 371280 x^{4} + 129812 x^{3} + 81805 x^{2} - 11559 x + 12113$ |
$16$ |
[0,8] |
$41^{14}\cdot 59^{4}$ |
$2$ |
$71.4329979926$ |
$197.97569691730635$ |
|
|
|
$C_2^2 : C_8$ (as 16T24) |
$[2]$ |
$2$ |
$7$ |
$67708958.4741$ |
| 16.0.525...401.1 |
$x^{16} - 6 x^{15} - 8 x^{14} + 160 x^{13} - 400 x^{12} - 1282 x^{11} + 11189 x^{10} - 35603 x^{9} + 58718 x^{8} - 16818 x^{7} - 136633 x^{6} + 401269 x^{5} - 424715 x^{4} + 202432 x^{3} + 912840 x^{2} - 1240424 x + 1871824$ |
$16$ |
[0,8] |
$41^{14}\cdot 61^{4}$ |
$2$ |
$72.030815781$ |
$201.30325259286246$ |
✓ |
|
|
$C_2^2 : C_8$ (as 16T24) |
$[41]$ |
$2$ |
$7$ |
$2911738.86032$ |
| 16.8.528...289.1 |
$x^{16} - 7 x^{15} - 13 x^{14} + 109 x^{13} + 293 x^{12} - 688 x^{11} - 4351 x^{10} + 211 x^{9} + 25804 x^{8} + 39690 x^{7} - 63521 x^{6} - 216222 x^{5} - 40253 x^{4} + 354256 x^{3} + 302724 x^{2} - 65579 x - 102043$ |
$16$ |
[8,4] |
$3^{4}\cdot 97^{14}$ |
$2$ |
$72.0618788476$ |
$94.8387660758292$ |
|
|
|
$C_2^2 : C_8$ (as 16T24) |
trivial |
$2$ |
$11$ |
$764009341.927$ |
| 16.8.800...449.1 |
$x^{16} - 3 x^{15} - 47 x^{14} + 80 x^{13} + 1033 x^{12} - 1001 x^{11} - 15701 x^{10} - 212 x^{9} + 181451 x^{8} + 353057 x^{7} - 570157 x^{6} - 3438310 x^{5} - 6547056 x^{4} - 7290744 x^{3} - 5355776 x^{2} - 2001824 x + 25408$ |
$16$ |
[8,4] |
$3^{8}\cdot 73^{14}$ |
$2$ |
$73.955100225$ |
$73.95510022503493$ |
|
|
|
$C_2^2 : C_8$ (as 16T24) |
trivial |
$2$ |
$11$ |
$9033509529.05$ |
| 16.0.107...801.1 |
$x^{16} - 5 x^{15} + 20 x^{14} - 53 x^{13} + 425 x^{12} - 1761 x^{11} + 8234 x^{10} - 26439 x^{9} + 85127 x^{8} - 227294 x^{7} + 576600 x^{6} - 1117344 x^{5} + 2015984 x^{4} - 2860288 x^{3} + 4678656 x^{2} - 5948416 x + 5607424$ |
$16$ |
[0,8] |
$41^{14}\cdot 73^{4}$ |
$2$ |
$75.3384341791$ |
$220.21520635937404$ |
✓ |
|
|
$C_2^2 : C_8$ (as 16T24) |
$[33]$ |
$2$ |
$7$ |
$4516212.78969$ |
| 16.0.122...625.1 |
$x^{16} - 2 x^{15} + 32 x^{14} - 26 x^{13} + 554 x^{12} - 36 x^{11} + 4361 x^{10} + 4546 x^{9} + 28477 x^{8} + 54742 x^{7} + 126202 x^{6} + 190602 x^{5} + 367768 x^{4} + 305600 x^{3} + 365021 x^{2} + 304734 x + 229888$ |
$16$ |
[0,8] |
$5^{4}\cdot 89^{14}$ |
$2$ |
$75.9379304217$ |
$113.553691704625$ |
✓ |
|
|
$C_2^2 : C_8$ (as 16T24) |
$[7345]$ |
$2$ |
$7$ |
$15350212.3839$ |
| 16.0.180...681.1 |
$x^{16} - 6 x^{15} + 40 x^{14} - 92 x^{13} + 116 x^{12} - 70 x^{11} + 545 x^{10} - 13523 x^{9} + 54152 x^{8} - 97086 x^{7} + 176183 x^{6} - 418415 x^{5} + 678907 x^{4} - 641024 x^{3} + 340920 x^{2} - 82952 x + 16336$ |
$16$ |
[0,8] |
$41^{14}\cdot 83^{4}$ |
$2$ |
$77.7956650372$ |
$234.8145050561505$ |
|
|
|
$C_2^2 : C_8$ (as 16T24) |
$[2]$ |
$2$ |
$7$ |
$93875598.4999$ |
| 16.0.196...329.4 |
$x^{16} - 6 x^{15} + 12 x^{14} + 12 x^{13} + 19 x^{12} - 318 x^{11} + 2100 x^{10} - 5213 x^{9} + 14622 x^{8} - 4630 x^{7} + 927 x^{6} + 121358 x^{5} + 476036 x^{4} + 432383 x^{3} + 2307490 x^{2} + 427097 x + 1543193$ |
$16$ |
[0,8] |
$17^{14}\cdot 43^{8}$ |
$2$ |
$78.2306671639$ |
$78.23066716385114$ |
|
|
|
$C_2^2 : C_8$ (as 16T24) |
$[2, 178]$ |
$2$ |
$7$ |
$535402.98004$ |
| 16.0.392...849.7 |
$x^{16} - 2 x^{15} + 12 x^{14} - 22 x^{13} + 865 x^{12} + 68 x^{11} + 5879 x^{10} + 75224 x^{9} - 163742 x^{8} + 335966 x^{7} + 4327649 x^{6} - 4700058 x^{5} - 33955384 x^{4} - 22705032 x^{3} + 79867792 x^{2} + 138718144 x + 66232832$ |
$16$ |
[0,8] |
$13^{12}\cdot 17^{14}$ |
$2$ |
$81.6771020686$ |
$81.67710206860912$ |
✓ |
|
|
$C_2^2 : C_8$ (as 16T24) |
$[2, 12, 408]$ |
$2$ |
$7$ |
$32676067.5694$ |
| 16.0.392...849.8 |
$x^{16} - 2 x^{15} + 12 x^{14} - 22 x^{13} + 423 x^{12} - 4352 x^{11} - 7823 x^{10} + 38096 x^{9} + 236931 x^{8} + 455748 x^{7} + 1365365 x^{6} - 4398172 x^{5} + 3318918 x^{4} - 18237738 x^{3} + 58180841 x^{2} - 184744970 x + 202696796$ |
$16$ |
[0,8] |
$13^{12}\cdot 17^{14}$ |
$2$ |
$81.6771020686$ |
$81.67710206860912$ |
✓ |
|
|
$C_2^2 : C_8$ (as 16T24) |
$[2, 4, 8]$ |
$2$ |
$7$ |
$32676067.5694$ |
| 16.0.400...969.16 |
$x^{16} - 2 x^{15} + 20 x^{14} - 70 x^{13} + 359 x^{12} - 902 x^{11} + 2062 x^{10} + 7163 x^{9} - 33118 x^{8} + 13874 x^{7} + 167137 x^{6} - 248076 x^{5} - 123004 x^{4} + 2291467 x^{3} - 3802366 x^{2} - 9958815 x + 21067657$ |
$16$ |
[0,8] |
$17^{14}\cdot 47^{8}$ |
$2$ |
$81.7884043055$ |
$81.7884043055344$ |
|
|
|
$C_2^2 : C_8$ (as 16T24) |
$[2, 2, 2, 82]$ |
$2$ |
$7$ |
$842170.663492$ |
| 16.0.926...625.6 |
$x^{16} - x^{15} + 46 x^{14} - 310 x^{13} + 1475 x^{12} - 10599 x^{11} + 52755 x^{10} - 194525 x^{9} + 964626 x^{8} - 3202300 x^{7} + 6850515 x^{6} - 19834849 x^{5} + 48482750 x^{4} - 22659160 x^{3} + 18758616 x^{2} - 58027856 x + 68181376$ |
$16$ |
[0,8] |
$5^{12}\cdot 41^{14}$ |
$2$ |
$86.1813668691$ |
$86.18136686908747$ |
✓ |
|
|
$C_2^2 : C_8$ (as 16T24) |
$[2, 300]$ |
$2$ |
$7$ |
$697029494.906$ |
| 16.0.926...625.7 |
$x^{16} - x^{15} + 46 x^{14} - 105 x^{13} + 1270 x^{12} - 4449 x^{11} + 16060 x^{10} - 63735 x^{9} + 211046 x^{8} - 1759715 x^{7} + 8594450 x^{6} - 26273899 x^{5} + 43579355 x^{4} - 18892900 x^{3} - 620444 x^{2} - 73814496 x + 155285056$ |
$16$ |
[0,8] |
$5^{12}\cdot 41^{14}$ |
$2$ |
$86.1813668691$ |
$86.18136686908747$ |
✓ |
|
|
$C_2^2 : C_8$ (as 16T24) |
$[2, 300]$ |
$2$ |
$7$ |
$10205497.328$ |
| 16.16.104...369.2 |
$x^{16} - 6 x^{15} - 54 x^{14} + 316 x^{13} + 1129 x^{12} - 5904 x^{11} - 12476 x^{10} + 49215 x^{9} + 76870 x^{8} - 187170 x^{7} - 241469 x^{6} + 304908 x^{5} + 315322 x^{4} - 220035 x^{3} - 165824 x^{2} + 54341 x + 30259$ |
$16$ |
[16,0] |
$17^{14}\cdot 53^{8}$ |
$2$ |
$86.8521834484$ |
$86.8521834484431$ |
|
|
|
$C_2^2 : C_8$ (as 16T24) |
$[2]$ |
$2$ |
$15$ |
$7359535457.67$ |
| 16.0.159...289.1 |
$x^{16} - 3 x^{15} + 15 x^{14} - 101 x^{13} + 163 x^{12} + 173 x^{11} + 164 x^{10} - 7010 x^{9} + 61895 x^{8} - 434233 x^{7} + 2003583 x^{6} - 5981569 x^{5} + 11891245 x^{4} - 15825337 x^{3} + 13679510 x^{2} - 6972784 x + 1600672$ |
$16$ |
[0,8] |
$19^{4}\cdot 73^{14}$ |
$2$ |
$89.1447769871$ |
$186.11625411428943$ |
|
|
|
$C_2^2 : C_8$ (as 16T24) |
$[89]$ |
$2$ |
$7$ |
$4629594070.98$ |
