| 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 |
| 16.0.10812750244140625.1 |
$x^{16} - 2 x^{15} + x^{14} + 2 x^{13} - 9 x^{12} + 19 x^{11} - 26 x^{10} + 11 x^{9} + 37 x^{8} - 99 x^{7} + 144 x^{6} - 146 x^{5} + 111 x^{4} - 63 x^{3} + 26 x^{2} - 7 x + 1$ |
$16$ |
[0,8] |
$5^{14}\cdot 11^{6}$ |
$2$ |
$10.0489575291$ |
$13.561105554803268$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$10$ |
$7$ |
$79.7206572657$ |
| 16.0.102400000000000000.1 |
$x^{16} - 4 x^{15} + 4 x^{14} + 6 x^{13} - 9 x^{12} - 52 x^{11} + 226 x^{10} - 482 x^{9} + 697 x^{8} - 738 x^{7} + 596 x^{6} - 378 x^{5} + 191 x^{4} - 76 x^{3} + 24 x^{2} - 6 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 5^{14}$ |
$2$ |
$11.5649496754$ |
$13.753120438672642$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$10$ |
$7$ |
$309.712108606$ |
| 16.4.130...625.1 |
$x^{16} - x^{14} - 8 x^{12} + 7 x^{10} + 15 x^{8} - 12 x^{6} - 18 x^{4} - 4 x^{2} + 1$ |
$16$ |
[4,6] |
$5^{14}\cdot 11^{8}$ |
$2$ |
$13.5611055548$ |
$13.561105554803268$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$9$ |
$438.55686762$ |
| 16.4.163...000.1 |
$x^{16} - 4 x^{15} + 6 x^{14} - 6 x^{13} + 8 x^{12} - 14 x^{11} + 4 x^{10} - 8 x^{9} + 3 x^{8} + 6 x^{7} - 24 x^{6} + 12 x^{5} - 2 x^{4} + 2 x^{3} - 6 x^{2} + 2 x + 1$ |
$16$ |
[4,6] |
$2^{28}\cdot 5^{14}$ |
$2$ |
$13.7531204387$ |
$13.753120438672642$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$9$ |
$596.242482761$ |
| 16.0.287...681.1 |
$x^{16} - 4 x^{15} + 11 x^{14} - 21 x^{13} + 34 x^{12} - 50 x^{11} + 66 x^{10} - 58 x^{9} + x^{8} + 75 x^{7} - 81 x^{6} - 16 x^{5} + 124 x^{4} - 140 x^{3} + 80 x^{2} - 24 x + 3$ |
$16$ |
[0,8] |
$3^{6}\cdot 13^{14}$ |
$2$ |
$14.2436372187$ |
$16.340338938923477$ |
|
|
|
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$7$ |
$746.959799438$ |
| 16.0.541...625.1 |
$x^{16} - 6 x^{15} + 24 x^{14} - 61 x^{13} + 126 x^{12} - 213 x^{11} + 356 x^{10} - 603 x^{9} + 1012 x^{8} - 1522 x^{7} + 1901 x^{6} - 1932 x^{5} + 1526 x^{4} - 929 x^{3} + 414 x^{2} - 124 x + 31$ |
$16$ |
[0,8] |
$5^{14}\cdot 31^{6}$ |
$2$ |
$14.8203816969$ |
$22.7656262017263$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$10$ |
$7$ |
$2713.04336648$ |
| 16.4.258...129.1 |
$x^{16} - x^{15} - 7 x^{14} + 34 x^{12} + 7 x^{11} - 99 x^{10} + 41 x^{9} + 57 x^{8} - 37 x^{7} - 21 x^{6} + 46 x^{5} + 34 x^{4} - 39 x^{3} - 7 x^{2} - x + 1$ |
$16$ |
[4,6] |
$3^{8}\cdot 13^{14}$ |
$2$ |
$16.3403389389$ |
$16.340338938923477$ |
|
|
|
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$9$ |
$2953.20872844$ |
| 16.0.262...000.5 |
$x^{16} - 10 x^{14} + 40 x^{12} - 90 x^{10} + 170 x^{8} - 300 x^{6} + 325 x^{4} - 150 x^{2} + 25$ |
$16$ |
[0,8] |
$2^{32}\cdot 5^{14}$ |
$2$ |
$16.3553086792$ |
$19.449849449321462$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$10$ |
$7$ |
$5820.53100283$ |
| 16.0.737...464.2 |
$x^{16} - 8 x^{14} + 36 x^{12} - 88 x^{10} + 126 x^{8} - 88 x^{6} + 36 x^{4} - 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{66}$ |
$1$ |
$17.4481237226$ |
$18.220618156107065$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$7$ |
$4694.58105343$ |
| 16.4.737...464.8 |
$x^{16} - 8 x^{14} + 28 x^{12} - 56 x^{10} + 42 x^{8} - 8 x^{6} - 12 x^{4} + 8 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{66}$ |
$1$ |
$17.4481237226$ |
$18.220618156107065$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$9$ |
$6503.03386853$ |
| 16.4.419...000.2 |
$x^{16} - 4 x^{14} - 8 x^{12} - 52 x^{10} - 290 x^{8} + 132 x^{6} - 968 x^{4} - 76 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{36}\cdot 5^{14}$ |
$2$ |
$19.4498494493$ |
$19.449849449321462$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$9$ |
$11205.399336$ |
| 16.0.781...625.1 |
$x^{16} - 3 x^{15} + 9 x^{14} - 18 x^{13} + 23 x^{12} - 43 x^{11} + 6 x^{10} + 16 x^{9} + 78 x^{8} + 392 x^{7} + 754 x^{6} + 1786 x^{5} + 2683 x^{4} + 3324 x^{3} + 3006 x^{2} + 1846 x + 781$ |
$16$ |
[0,8] |
$5^{14}\cdot 71^{6}$ |
$2$ |
$20.2218383581$ |
$34.45307012928092$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$10$ |
$7$ |
$34534.2764565$ |
| 16.4.520...625.1 |
$x^{16} - 11 x^{14} - 3 x^{12} + 57 x^{10} - 15 x^{8} - 52 x^{6} + 22 x^{4} - 29 x^{2} + 1$ |
$16$ |
[4,6] |
$5^{14}\cdot 31^{8}$ |
$2$ |
$22.7656262017$ |
$22.7656262017263$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$9$ |
$32948.1744095$ |
| 16.4.484...304.7 |
$x^{16} - 8 x^{14} - 32 x^{13} - 88 x^{12} - 32 x^{11} + 328 x^{10} + 1440 x^{9} + 4254 x^{8} + 6672 x^{7} + 10432 x^{6} + 8432 x^{5} + 5192 x^{4} + 3008 x^{3} + 688 x^{2} + 576 x - 257$ |
$16$ |
[4,6] |
$2^{66}\cdot 3^{8}$ |
$2$ |
$30.22103678436744$ |
$31.559036391689393$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$9$ |
$545588.4432037086$ |
| 16.0.484...304.225 |
$x^{16} - 32 x^{13} + 108 x^{12} - 16 x^{11} + 80 x^{10} - 1152 x^{9} + 3992 x^{8} - 5296 x^{7} + 3064 x^{6} + 672 x^{5} - 296 x^{4} - 3056 x^{3} + 3968 x^{2} - 2208 x + 514$ |
$16$ |
[0,8] |
$2^{66}\cdot 3^{8}$ |
$2$ |
$30.22103678436744$ |
$31.559036391689393$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
$[2]$ |
$2$ |
$7$ |
$196931.86443546184$ |
| 16.0.812...561.2 |
$x^{16} - 4 x^{15} - 2 x^{14} + 16 x^{13} + 198 x^{11} - 381 x^{10} - 1026 x^{9} + 3245 x^{8} + 776 x^{7} - 7300 x^{6} + 4380 x^{5} + 5678 x^{4} - 3690 x^{3} + 2803 x^{2} - 650 x + 52$ |
$16$ |
[0,8] |
$13^{6}\cdot 17^{14}$ |
$2$ |
$31.2155911111$ |
$43.014460711706995$ |
|
|
|
$\OD_{16}:C_2$ (as 16T41) |
$[2, 4]$ |
$2$ |
$7$ |
$188887.024999$ |
| 16.0.192...625.1 |
$x^{16} - 2 x^{15} + 24 x^{14} - 32 x^{13} + 183 x^{12} - 117 x^{11} + 396 x^{10} - 181 x^{9} - 912 x^{8} + 513 x^{7} - 3546 x^{6} + 2529 x^{5} - 187 x^{4} + 1706 x^{3} + 15096 x^{2} - 9291 x + 48151$ |
$16$ |
[0,8] |
$3^{12}\cdot 5^{14}\cdot 29^{6}$ |
$3$ |
$32.9487500713$ |
$50.19248452708817$ |
✓ |
|
? |
$\OD_{16}:C_2$ (as 16T41) |
$[2, 4, 4]$ |
$2$ |
$7$ |
$6317.46461709$ |
| 16.16.192...625.1 |
$x^{16} - 6 x^{15} - 14 x^{14} + 156 x^{13} - 142 x^{12} - 1116 x^{11} + 2569 x^{10} + 1383 x^{9} - 9797 x^{8} + 8349 x^{7} + 6236 x^{6} - 15687 x^{5} + 11363 x^{4} - 3867 x^{3} + 614 x^{2} - 42 x + 1$ |
$16$ |
[16,0] |
$3^{12}\cdot 5^{14}\cdot 29^{6}$ |
$3$ |
$32.9487500713$ |
$50.19248452708817$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$15$ |
$7380532.4291$ |
| 16.4.394...625.1 |
$x^{16} + x^{14} - 43 x^{12} - 47 x^{10} + 525 x^{8} - 68 x^{6} - 4078 x^{4} + 2299 x^{2} + 14641$ |
$16$ |
[4,6] |
$5^{14}\cdot 71^{8}$ |
$2$ |
$34.4530701293$ |
$34.45307012928092$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$9$ |
$648728.666997$ |
| 16.0.350...169.1 |
$x^{16} - 4 x^{15} + 23 x^{14} - 34 x^{13} + 88 x^{12} + 310 x^{11} - 262 x^{10} + 2441 x^{9} + 1652 x^{8} + 2997 x^{7} + 13249 x^{6} + 1204 x^{5} + 14168 x^{4} + 6713 x^{3} - 2646 x^{2} - 686 x + 343$ |
$16$ |
[0,8] |
$7^{6}\cdot 29^{14}$ |
$2$ |
$39.4920804605$ |
$50.367137353184766$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$7$ |
$1690145.93466$ |
| 16.0.392...624.169 |
$x^{16} + 24 x^{12} - 396 x^{8} + 3888 x^{4} + 324$ |
$16$ |
[0,8] |
$2^{66}\cdot 3^{12}$ |
$2$ |
$39.77312115638734$ |
$41.53402766892441$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
$[2]$ |
$2$ |
$7$ |
$1149798.9582417214$ |
| 16.4.392...624.207 |
$x^{16} - 8 x^{14} - 4 x^{12} - 296 x^{10} - 686 x^{8} + 1016 x^{6} - 3196 x^{4} - 712 x^{2} + 49$ |
$16$ |
[4,6] |
$2^{66}\cdot 3^{12}$ |
$2$ |
$39.77312115638734$ |
$41.53402766892441$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$9$ |
$10564172.033341885$ |
| 16.0.392...624.229 |
$x^{16} - 8 x^{14} + 44 x^{12} + 280 x^{10} + 994 x^{8} + 1016 x^{6} - 652 x^{4} - 1288 x^{2} + 961$ |
$16$ |
[0,8] |
$2^{66}\cdot 3^{12}$ |
$2$ |
$39.77312115638734$ |
$41.53402766892441$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
$[2]$ |
$2$ |
$7$ |
$1666346.222347855$ |
| 16.4.392...624.308 |
$x^{16} - 24 x^{12} - 396 x^{8} - 3888 x^{4} + 324$ |
$16$ |
[4,6] |
$2^{66}\cdot 3^{12}$ |
$2$ |
$39.77312115638734$ |
$41.53402766892441$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$9$ |
$7289405.90840021$ |
| 16.16.615...625.1 |
$x^{16} - 2 x^{15} - 41 x^{14} + 48 x^{13} + 688 x^{12} - 267 x^{11} - 5814 x^{10} - 1281 x^{9} + 25198 x^{8} + 15588 x^{7} - 55306 x^{6} - 50331 x^{5} + 54453 x^{4} + 68116 x^{3} - 10774 x^{2} - 33456 x - 9869$ |
$16$ |
[16,0] |
$5^{14}\cdot 11^{8}\cdot 19^{6}$ |
$3$ |
$40.9098320658$ |
$59.111488676075524$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$15$ |
$76647795.4038$ |
| 16.0.615...625.1 |
$x^{16} - 7 x^{15} + 36 x^{14} - 143 x^{13} + 326 x^{12} - 401 x^{11} + 44 x^{10} + 2041 x^{9} - 5608 x^{8} + 7716 x^{7} - 2636 x^{6} - 8251 x^{5} + 18471 x^{4} - 24778 x^{3} + 25706 x^{2} - 11857 x + 3191$ |
$16$ |
[0,8] |
$5^{14}\cdot 11^{8}\cdot 19^{6}$ |
$3$ |
$40.9098320658$ |
$59.111488676075524$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
$[2, 2, 2]$ |
$2$ |
$7$ |
$126840.663141$ |
| 16.0.615...625.2 |
$x^{16} - 5 x^{15} + 29 x^{14} - 65 x^{13} + 152 x^{12} - 85 x^{11} + 212 x^{10} + 90 x^{9} - 10 x^{8} - 1685 x^{7} + 14128 x^{6} - 47550 x^{5} + 100442 x^{4} - 142525 x^{3} + 157306 x^{2} - 107825 x + 30761$ |
$16$ |
[0,8] |
$5^{14}\cdot 11^{8}\cdot 19^{6}$ |
$3$ |
$40.9098320658$ |
$59.111488676075524$ |
✓ |
|
? |
$\OD_{16}:C_2$ (as 16T41) |
$[2, 4, 4]$ |
$2$ |
$7$ |
$83143.0598167$ |
| 16.0.137...809.4 |
$x^{16} + 30 x^{14} + 109 x^{12} + 95 x^{10} + 202 x^{8} + 351 x^{6} + 316 x^{4} + 1072 x^{2} + 256$ |
$16$ |
[0,8] |
$13^{8}\cdot 17^{14}$ |
$2$ |
$43.0144607117$ |
$43.014460711706995$ |
|
|
|
$\OD_{16}:C_2$ (as 16T41) |
$[4, 4]$ |
$2$ |
$7$ |
$10665819.1741$ |
| 16.0.957...569.1 |
$x^{16} - 3 x^{15} + 19 x^{14} - 82 x^{13} + 177 x^{12} - 603 x^{11} + 1509 x^{10} - 1404 x^{9} + 5870 x^{8} - 3549 x^{7} + 3038 x^{6} - 6908 x^{5} + 28884 x^{4} + 85257 x^{3} + 227610 x^{2} + 186138 x + 145557$ |
$16$ |
[0,8] |
$13^{14}\cdot 79^{6}$ |
$2$ |
$48.5635685968$ |
$83.85210682002968$ |
|
|
|
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$7$ |
$47106468.997$ |
| 16.0.106...161.1 |
$x^{16} - 2 x^{15} + 22 x^{14} - 34 x^{13} + 98 x^{12} - 106 x^{11} + 366 x^{10} + 21 x^{9} + 2394 x^{8} + 200 x^{7} - 11836 x^{6} - 9835 x^{5} - 11557 x^{4} + 980 x^{3} + 99323 x^{2} + 68943 x + 21609$ |
$16$ |
[0,8] |
$7^{6}\cdot 37^{14}$ |
$2$ |
$48.8751691642$ |
$62.334076345165585$ |
|
|
|
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$7$ |
$17484605.3082$ |
| 16.4.171...281.1 |
$x^{16} + 20 x^{14} - 434 x^{12} + 2412 x^{10} - 3845 x^{8} - 3833 x^{6} + 436 x^{4} - 165 x^{2} + 1$ |
$16$ |
[4,6] |
$7^{8}\cdot 29^{14}$ |
$2$ |
$50.3671373532$ |
$50.367137353184766$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$9$ |
$54379472.7274$ |
| 16.4.181...641.12 |
$x^{16} - 4 x^{15} + 20 x^{14} - 61 x^{13} + x^{12} - 52 x^{11} - 923 x^{10} + 1353 x^{9} + 6250 x^{8} - 12449 x^{7} - 5845 x^{6} + 16726 x^{5} - 22203 x^{4} + 73843 x^{3} + 41492 x^{2} + 23332 x + 16967$ |
$16$ |
[4,6] |
$17^{14}\cdot 47^{6}$ |
$2$ |
$50.5451515384$ |
$81.7884043055344$ |
|
|
|
$\OD_{16}:C_2$ (as 16T41) |
$[2]$ |
$2$ |
$9$ |
$15727953.1114$ |
| 16.4.152...001.31 |
$x^{16} - 3 x^{15} + 17 x^{14} + 54 x^{13} - 207 x^{12} + 611 x^{11} + 1348 x^{10} - 3327 x^{9} + 4023 x^{8} + 19634 x^{7} - 197 x^{6} - 37023 x^{5} + 74499 x^{4} + 229926 x^{3} - 185436 x^{2} - 316912 x + 42176$ |
$16$ |
[4,6] |
$17^{14}\cdot 67^{6}$ |
$2$ |
$57.7325655348$ |
$97.65178978680869$ |
|
|
|
$\OD_{16}:C_2$ (as 16T41) |
$[2, 4]$ |
$2$ |
$9$ |
$71792452.1584$ |
| 16.0.440...609.1 |
$x^{16} - 9 x^{14} - 28 x^{12} - 981 x^{10} + 10307 x^{8} + 3852 x^{6} + 357774 x^{4} - 944840 x^{2} + 1485961$ |
$16$ |
[0,8] |
$23^{6}\cdot 29^{14}$ |
$2$ |
$61.6944627537$ |
$91.29818968519376$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$7$ |
$88609216.4787$ |
| 16.4.519...889.1 |
$x^{16} - 8 x^{15} + 20 x^{14} - 33 x^{12} - 166 x^{11} + 1629 x^{10} - 5670 x^{9} + 3020 x^{8} + 18398 x^{7} - 30968 x^{6} + 8343 x^{5} + 115074 x^{4} - 213083 x^{3} - 264567 x^{2} + 368010 x - 59643$ |
$16$ |
[4,6] |
$7^{8}\cdot 37^{14}$ |
$2$ |
$62.3340763452$ |
$62.334076345165585$ |
|
|
|
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$9$ |
$870646429.869$ |
| 16.0.836...769.4 |
$x^{16} - 7 x^{15} + 65 x^{14} - 407 x^{13} + 2151 x^{12} - 10072 x^{11} + 42053 x^{10} - 148549 x^{9} + 441642 x^{8} - 1087932 x^{7} + 2206158 x^{6} - 3596503 x^{5} + 4676785 x^{4} - 4672450 x^{3} + 3526208 x^{2} - 1788400 x + 554608$ |
$16$ |
[0,8] |
$17^{14}\cdot 89^{6}$ |
$2$ |
$64.2190769108$ |
$112.54800715810448$ |
|
|
|
$\OD_{16}:C_2$ (as 16T41) |
$[2, 28]$ |
$2$ |
$7$ |
$1325060.89169$ |
| 16.0.400...969.3 |
$x^{16} - 18 x^{14} + 571 x^{12} - 7712 x^{10} + 64513 x^{8} - 262320 x^{6} + 571411 x^{4} - 17914 x^{2} + 28561$ |
$16$ |
[0,8] |
$17^{14}\cdot 47^{8}$ |
$2$ |
$81.7884043055$ |
$81.7884043055344$ |
|
|
|
$\OD_{16}:C_2$ (as 16T41) |
$[2, 2, 8]$ |
$2$ |
$7$ |
$19032725.565$ |
| 16.4.561...129.7 |
$x^{16} - 8 x^{15} - x^{14} + 147 x^{13} - 312 x^{12} + 1237 x^{11} - 11210 x^{10} + 9261 x^{9} - 21833 x^{8} + 166391 x^{7} + 39783 x^{6} + 395156 x^{5} + 264039 x^{4} + 662650 x^{3} + 586484 x^{2} + 296055 x - 212671$ |
$16$ |
[4,6] |
$23^{6}\cdot 41^{14}$ |
$2$ |
$83.5283328056$ |
$123.60891451503595$ |
|
|
|
$\OD_{16}:C_2$ (as 16T41) |
$[6]$ |
$2$ |
$9$ |
$191680973.532$ |
| 16.4.597...129.1 |
$x^{16} - 6 x^{15} + 24 x^{14} - 71 x^{13} + 102 x^{12} - 2071 x^{11} - 1977 x^{10} - 17693 x^{9} - 50858 x^{8} - 96551 x^{7} + 14598 x^{6} + 71270 x^{5} - 814270 x^{4} - 2949122 x^{3} - 4453919 x^{2} - 3048039 x - 754857$ |
$16$ |
[4,6] |
$13^{14}\cdot 79^{8}$ |
$2$ |
$83.85210682$ |
$83.85210682002968$ |
|
|
|
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$9$ |
$2293989833.65$ |
| 16.0.125...321.1 |
$x^{16} - 24 x^{14} + 484 x^{12} - 5833 x^{10} + 36700 x^{8} - 98607 x^{6} + 223934 x^{4} + 762575 x^{2} + 1841449$ |
$16$ |
[0,8] |
$29^{14}\cdot 59^{6}$ |
$2$ |
$87.8350297091$ |
$146.22588347393037$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
$[3]$ |
$2$ |
$7$ |
$176629196.777$ |
| 16.4.233...161.1 |
$x^{16} - 8 x^{15} + 26 x^{14} - 42 x^{13} - 224 x^{12} + 1526 x^{11} - 4856 x^{10} + 10244 x^{9} - 10696 x^{8} - 1894 x^{7} + 28943 x^{6} - 53943 x^{5} - 55815 x^{4} + 187219 x^{3} - 236831 x^{2} + 136350 x + 919829$ |
$16$ |
[4,6] |
$23^{8}\cdot 29^{14}$ |
$2$ |
$91.2981896852$ |
$91.29818968519376$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$9$ |
$5321142774.02$ |
| 16.4.336...641.7 |
$x^{16} - 5 x^{15} - 49 x^{14} + 664 x^{13} - 3457 x^{12} + 9520 x^{11} - 8435 x^{10} - 36372 x^{9} + 139366 x^{8} - 134382 x^{7} - 310833 x^{6} + 1194633 x^{5} - 1988097 x^{4} + 2308085 x^{3} - 1852166 x^{2} + 705715 x - 91699$ |
$16$ |
[4,6] |
$31^{6}\cdot 41^{14}$ |
$2$ |
$93.4214298016$ |
$143.50489707977238$ |
|
|
|
$\OD_{16}:C_2$ (as 16T41) |
$[8]$ |
$2$ |
$9$ |
$503019527.53$ |
| 16.0.683...489.23 |
$x^{16} - 4 x^{15} + 25 x^{14} - 19 x^{13} + 196 x^{12} - 153 x^{11} + 4469 x^{10} + 2832 x^{9} - 1277 x^{8} + 122499 x^{7} + 173528 x^{6} - 1660883 x^{5} + 2750234 x^{4} - 3001184 x^{3} - 24662408 x^{2} - 10625712 x + 149470784$ |
$16$ |
[0,8] |
$17^{14}\cdot 67^{8}$ |
$2$ |
$97.6517897868$ |
$97.65178978680869$ |
|
|
|
$\OD_{16}:C_2$ (as 16T41) |
$[2, 4, 4, 40]$ |
$2$ |
$7$ |
$86877550.428$ |
| 16.0.971...681.1 |
$x^{16} - 33 x^{14} + 784 x^{12} - 9576 x^{10} + 44890 x^{8} + 760731 x^{6} - 1902935 x^{4} + 5169906 x^{2} + 189640441$ |
$16$ |
[0,8] |
$37^{14}\cdot 47^{6}$ |
$2$ |
$99.8189978286$ |
$161.51967702721538$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
$[9]$ |
$2$ |
$7$ |
$156545802.12$ |
| 16.0.972...489.1 |
$x^{16} - 4 x^{15} + 55 x^{14} - 88 x^{13} + 920 x^{12} - 4548 x^{11} + 1215 x^{10} - 3768 x^{9} + 134918 x^{8} - 207338 x^{7} + 40086 x^{6} - 1027637 x^{5} + 2452312 x^{4} - 2392475 x^{3} + 10205840 x^{2} - 20847139 x + 28188139$ |
$16$ |
[0,8] |
$29^{14}\cdot 83^{6}$ |
$2$ |
$99.8280373429$ |
$173.4352195192488$ |
|
|
|
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$7$ |
$23434432274.6$ |
| 16.0.973...849.3 |
$x^{16} - 4 x^{15} - 55 x^{14} + 292 x^{13} + 1089 x^{12} - 8804 x^{11} - 5925 x^{10} + 139988 x^{9} - 109229 x^{8} - 1258788 x^{7} + 2004779 x^{6} + 6216884 x^{5} - 11557040 x^{4} - 13141776 x^{3} + 22316704 x^{2} + 3217664 x + 4983232$ |
$16$ |
[0,8] |
$37^{6}\cdot 41^{14}$ |
$2$ |
$99.8301034498$ |
$156.77858364455906$ |
|
|
|
$\OD_{16}:C_2$ (as 16T41) |
$[2, 24]$ |
$2$ |
$7$ |
$514989963.509$ |
| 16.0.662...249.2 |
$x^{16} + 86 x^{14} + 1251 x^{12} + 4992 x^{10} + 6033 x^{8} + 8272 x^{6} + 45499 x^{4} + 75374 x^{2} + 28561$ |
$16$ |
[0,8] |
$17^{14}\cdot 89^{8}$ |
$2$ |
$112.548007158$ |
$112.54800715810448$ |
|
|
|
$\OD_{16}:C_2$ (as 16T41) |
$[4, 28]$ |
$2$ |
$7$ |
$61360789.5786$ |
| 16.0.115...569.1 |
$x^{16} - 2 x^{15} + 18 x^{14} + 158 x^{13} + 718 x^{12} + 1324 x^{11} + 5679 x^{10} + 72254 x^{9} + 323371 x^{8} + 739018 x^{7} + 1269996 x^{6} + 4996370 x^{5} + 15767727 x^{4} + 14111857 x^{3} - 19828694 x^{2} - 29709493 x + 20958289$ |
$16$ |
[0,8] |
$37^{14}\cdot 71^{6}$ |
$2$ |
$116.519440165$ |
$198.52064744725823$ |
|
|
? |
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$7$ |
$13120388619.1$ |
| 16.4.159...201.20 |
$x^{16} - 74 x^{14} + 3554 x^{12} - 5822 x^{11} - 71858 x^{10} + 287902 x^{9} + 75018 x^{8} - 1842376 x^{7} + 1590774 x^{6} + 4422342 x^{5} - 5089343 x^{4} - 1701254 x^{3} + 5084664 x^{2} - 3270488 x + 775024$ |
$16$ |
[4,6] |
$41^{14}\cdot 59^{6}$ |
$2$ |
$118.920131014$ |
$197.97569691730635$ |
|
|
|
$\OD_{16}:C_2$ (as 16T41) |
$[2]$ |
$2$ |
$9$ |
$88858553706.0$ |
| 16.0.294...241.1 |
$x^{16} - 2 x^{15} - 5 x^{14} + 78 x^{13} - 475 x^{12} + 3641 x^{11} - 1085 x^{10} - 63940 x^{9} + 186709 x^{8} - 41802 x^{7} + 295915 x^{6} - 2938105 x^{5} + 4953545 x^{4} - 102100 x^{3} - 303276 x^{2} + 7064925 x + 3528539$ |
$16$ |
[0,8] |
$37^{14}\cdot 83^{6}$ |
$2$ |
$123.546598598$ |
$214.642419295045$ |
|
|
|
$\OD_{16}:C_2$ (as 16T41) |
trivial |
$2$ |
$7$ |
$87394636266.6$ |
