| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Narrow class group |
Unit group torsion |
Unit group rank |
Regulator |
| 16.0.264...625.18 |
$x^{16} - 4 x^{15} + 21 x^{14} + 14 x^{13} + 88 x^{12} + 491 x^{11} + 1509 x^{10} + 4867 x^{9} + 14433 x^{8} + 36566 x^{7} + 79676 x^{6} + 144207 x^{5} + 203373 x^{4} + 213987 x^{3} + 162854 x^{2} + 81807 x + 20161$ |
$16$ |
[0,8] |
$5^{12}\cdot 101^{8}$ |
$2$ |
$33.6037844392$ |
$106.52916761335055$ |
|
|
? |
$C_2^3.D_4$ (as 16T153) |
$[2, 2]$ |
$[2, 2]$ |
$10$ |
$7$ |
$390135.141682$ |
| 16.0.200...625.3 |
$x^{16} - x^{15} + 3 x^{14} + 8 x^{13} - 19 x^{12} + 54 x^{11} + 220 x^{10} - 1881 x^{9} + 4864 x^{8} - 12807 x^{7} + 24470 x^{6} - 31268 x^{5} + 58451 x^{4} - 69964 x^{3} + 76567 x^{2} - 109053 x + 61651$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{14}\cdot 29^{8}$ |
$3$ |
$38.1380408952$ |
$88.50297702987366$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
$7$ |
$157734.440793$ |
| 16.0.200...625.4 |
$x^{16} - 6 x^{15} + 42 x^{14} - 193 x^{13} + 780 x^{12} - 2732 x^{11} + 8237 x^{10} - 22009 x^{9} + 51936 x^{8} - 107945 x^{7} + 197355 x^{6} - 312845 x^{5} + 428690 x^{4} - 499900 x^{3} + 457460 x^{2} - 278005 x + 79945$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{14}\cdot 29^{8}$ |
$3$ |
$38.1380408952$ |
$88.50297702987366$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
$7$ |
$343809.57575$ |
| 16.8.106...416.1 |
$x^{16} + 8 x^{14} - 16 x^{13} - 212 x^{12} + 368 x^{11} - 224 x^{10} + 592 x^{9} + 2964 x^{8} - 13056 x^{7} + 23912 x^{6} - 24688 x^{5} + 14656 x^{4} - 4512 x^{3} + 368 x^{2} + 80 x - 2$ |
$16$ |
[8,4] |
$2^{64}\cdot 7^{8}$ |
$2$ |
$42.332020977$ |
$83.67740413998479$ |
|
|
? |
$C_2^3.D_4$ (as 16T153) |
trivial |
$[2, 2]$ |
$2$ |
$11$ |
$17878940.9848$ |
| 16.16.106...416.2 |
$x^{16} - 40 x^{14} - 16 x^{13} + 608 x^{12} + 496 x^{11} - 4496 x^{10} - 5648 x^{9} + 16230 x^{8} + 29536 x^{7} - 20832 x^{6} - 69600 x^{5} - 19832 x^{4} + 53456 x^{3} + 50440 x^{2} + 14608 x + 751$ |
$16$ |
[16,0] |
$2^{64}\cdot 7^{8}$ |
$2$ |
$42.332020977$ |
$83.67740413998479$ |
|
|
? |
$C_2^3.D_4$ (as 16T153) |
trivial |
$[2, 2]$ |
$2$ |
$15$ |
$114675199.278$ |
| 16.8.106...416.2 |
$x^{16} - 24 x^{14} - 16 x^{13} + 16 x^{12} - 176 x^{11} + 880 x^{10} + 2864 x^{9} + 2086 x^{8} + 4896 x^{7} + 6352 x^{6} - 1952 x^{5} - 12424 x^{4} - 12624 x^{3} - 5976 x^{2} - 1296 x - 81$ |
$16$ |
[8,4] |
$2^{64}\cdot 7^{8}$ |
$2$ |
$42.332020977$ |
$83.67740413998479$ |
|
|
? |
$C_2^3.D_4$ (as 16T153) |
$[2]$ |
$[2, 2]$ |
$2$ |
$11$ |
$8453902.49344$ |
| 16.0.106...416.3 |
$x^{16} + 24 x^{14} - 48 x^{13} + 252 x^{12} - 688 x^{11} + 1888 x^{10} - 4720 x^{9} + 9652 x^{8} - 15872 x^{7} + 24936 x^{6} - 32176 x^{5} + 33424 x^{4} - 27872 x^{3} + 21776 x^{2} - 18128 x + 14654$ |
$16$ |
[0,8] |
$2^{64}\cdot 7^{8}$ |
$2$ |
$42.332020977$ |
$83.67740413998479$ |
✓ |
|
? |
$C_2^3.D_4$ (as 16T153) |
$[2, 82]$ |
$[2, 82]$ |
$2$ |
$7$ |
$20726.065235$ |
| 16.0.145...641.21 |
$x^{16} - 7 x^{15} + 11 x^{14} - 33 x^{13} + 233 x^{12} - 219 x^{11} - 469 x^{10} - 933 x^{9} + 5703 x^{8} - 7837 x^{7} + 4493 x^{6} - 1365 x^{5} + 19045 x^{4} - 43929 x^{3} + 177615 x^{2} - 61533 x + 115911$ |
$16$ |
[0,8] |
$13^{12}\cdot 53^{8}$ |
$2$ |
$49.8419986437$ |
$134.48207963630105$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
$7$ |
$4787765.22728$ |
| 16.0.215...625.3 |
$x^{16} - 7 x^{15} + 17 x^{14} - 41 x^{13} + 151 x^{12} - 72 x^{11} - 1195 x^{10} + 2912 x^{9} + 94 x^{8} - 11284 x^{7} + 13415 x^{6} + 19461 x^{5} - 35409 x^{4} - 25873 x^{3} + 41313 x^{2} + 43416 x + 11421$ |
$16$ |
[0,8] |
$5^{14}\cdot 29^{12}$ |
$2$ |
$51.0972176123$ |
$51.09721761228082$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[2, 24]$ |
$[2, 24]$ |
$2$ |
$7$ |
$1810504.50906$ |
| 16.0.359...000.1 |
$x^{16} + 60 x^{14} + 1256 x^{12} + 11660 x^{10} + 53966 x^{8} + 128260 x^{6} + 151976 x^{4} + 79860 x^{2} + 14641$ |
$16$ |
[0,8] |
$2^{36}\cdot 5^{12}\cdot 11^{8}$ |
$3$ |
$52.7522922815$ |
$124.58786848061402$ |
✓ |
|
? |
$C_2^3.D_4$ (as 16T153) |
$[2, 2, 4, 52]$ |
$[2, 2, 4, 52]$ |
$2$ |
$7$ |
$28495.2195483$ |
| 16.16.359...000.1 |
$x^{16} - 60 x^{14} + 1234 x^{12} - 11880 x^{10} + 59411 x^{8} - 159720 x^{6} + 221914 x^{4} - 133100 x^{2} + 14641$ |
$16$ |
[16,0] |
$2^{36}\cdot 5^{12}\cdot 11^{8}$ |
$3$ |
$52.7522922815$ |
$124.58786848061402$ |
|
|
? |
$C_2^3.D_4$ (as 16T153) |
trivial |
$[2, 2, 2, 2, 2]$ |
$2$ |
$15$ |
$375361895.963$ |
| 16.0.446...161.1 |
$x^{16} - 5 x^{15} + 12 x^{14} + 30 x^{13} - 78 x^{12} - 17 x^{11} + 878 x^{10} + 3 x^{9} - 1476 x^{8} + 478 x^{7} + 4757 x^{6} - 4806 x^{5} + 12425 x^{4} - 9852 x^{3} + 6224 x^{2} - 2562 x + 549$ |
$16$ |
[0,8] |
$13^{12}\cdot 61^{8}$ |
$2$ |
$53.4715079406$ |
$149.4358817512091$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$7$ |
$5397872.05062$ |
| 16.0.135...041.11 |
$x^{16} - 2 x^{15} + 25 x^{14} - 9 x^{13} + 189 x^{12} + 237 x^{11} + 523 x^{10} + 2580 x^{9} + 1176 x^{8} + 8080 x^{7} - 272 x^{6} - 7552 x^{5} - 73536 x^{4} - 147328 x^{3} - 103424 x^{2} + 77824 x + 1236992$ |
$16$ |
[0,8] |
$13^{12}\cdot 17^{12}$ |
$2$ |
$57.3184193184$ |
$57.318419318377835$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[4, 4]$ |
$[4, 4]$ |
$2$ |
$7$ |
$48675817.2558$ |
| 16.0.726...625.3 |
$x^{16} - 4 x^{15} + 22 x^{14} - 103 x^{13} + 303 x^{12} - 988 x^{11} + 4218 x^{10} - 11963 x^{9} + 34323 x^{8} - 76048 x^{7} + 121867 x^{6} - 161899 x^{5} + 183226 x^{4} - 198135 x^{3} + 207180 x^{2} - 145120 x + 43520$ |
$16$ |
[0,8] |
$5^{12}\cdot 29^{14}$ |
$2$ |
$63.6540075658$ |
$63.654007565822624$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[2, 24]$ |
$[2, 24]$ |
$2$ |
$7$ |
$64432993.2542$ |
| 16.0.137...625.5 |
$x^{16} - 4 x^{15} + 32 x^{14} - 107 x^{13} - 155 x^{12} + 1617 x^{11} - 1178 x^{10} - 8846 x^{9} + 78231 x^{8} - 236675 x^{7} + 347100 x^{6} + 21525 x^{5} + 636340 x^{4} + 1125000 x^{3} + 2337965 x^{2} + 1502970 x + 666205$ |
$16$ |
[0,8] |
$5^{14}\cdot 41^{12}$ |
$2$ |
$66.2501165035$ |
$66.25011650349252$ |
|
|
? |
$C_2^3.D_4$ (as 16T153) |
$[2, 2, 2, 4]$ |
$[2, 2, 2, 4]$ |
$2$ |
$7$ |
$3059340.84488$ |
| 16.0.400...161.28 |
$x^{16} - 6 x^{15} + 27 x^{14} - 86 x^{13} + 482 x^{12} - 2230 x^{11} + 9081 x^{10} - 30942 x^{9} + 90574 x^{8} - 218582 x^{7} + 469209 x^{6} - 873386 x^{5} + 1373544 x^{4} - 1780692 x^{3} + 2036236 x^{2} - 1574750 x + 873203$ |
$16$ |
[0,8] |
$13^{8}\cdot 53^{12}$ |
$2$ |
$70.8236945783$ |
$134.48207963630105$ |
|
|
? |
$C_2^3.D_4$ (as 16T153) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
$7$ |
$7655259.72698$ |
| 16.0.440...625.18 |
$x^{16} - 3 x^{15} - 16 x^{14} + 49 x^{13} + 104 x^{12} - 751 x^{11} + 1632 x^{10} + 3242 x^{9} - 18122 x^{8} - 5812 x^{7} + 124749 x^{6} - 167494 x^{5} + 108648 x^{4} - 527720 x^{3} + 1321455 x^{2} - 1183030 x + 459335$ |
$16$ |
[0,8] |
$5^{8}\cdot 101^{12}$ |
$2$ |
$71.2403480386$ |
$106.52916761335055$ |
|
|
? |
$C_2^3.D_4$ (as 16T153) |
$[10, 10]$ |
$[10, 10]$ |
$2$ |
$7$ |
$2646839.99502$ |
| 16.0.216...441.22 |
$x^{16} - x^{15} - 2 x^{14} + 82 x^{13} - 82 x^{12} - 70 x^{11} + 3466 x^{10} - 1036 x^{9} + 860 x^{8} + 80824 x^{7} + 33855 x^{6} + 24977 x^{5} + 947733 x^{4} + 919868 x^{3} + 160711 x^{2} + 2869728 x + 3932507$ |
$16$ |
[0,8] |
$13^{8}\cdot 61^{12}$ |
$2$ |
$78.6989707239$ |
$149.4358817512091$ |
|
|
? |
$C_2^3.D_4$ (as 16T153) |
$[2, 18]$ |
$[2, 18]$ |
$2$ |
$7$ |
$6714796.90221$ |
| 16.0.392...849.6 |
$x^{16} - 4 x^{15} - 19 x^{14} + 169 x^{13} - 68 x^{12} - 2046 x^{11} + 6045 x^{10} + 6896 x^{9} - 75074 x^{8} + 57794 x^{7} + 438763 x^{6} - 722183 x^{5} - 1333429 x^{4} + 3370113 x^{3} + 3647994 x^{2} - 1697624 x + 1366784$ |
$16$ |
[0,8] |
$13^{12}\cdot 17^{14}$ |
$2$ |
$81.6771020686$ |
$81.67710206860912$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[2, 2, 4, 4]$ |
$[2, 2, 4, 4]$ |
$2$ |
$7$ |
$192574234.277$ |
| 16.0.162...625.2 |
$x^{16} - 4 x^{15} + 43 x^{14} - 153 x^{13} + 1031 x^{12} - 5509 x^{11} + 31605 x^{10} - 104029 x^{9} + 435089 x^{8} - 841163 x^{7} + 5233845 x^{6} - 6798197 x^{5} + 30254141 x^{4} + 28820519 x^{3} + 45021737 x^{2} + 24440568 x + 9101501$ |
$16$ |
[0,8] |
$5^{14}\cdot 61^{12}$ |
$2$ |
$89.247514498$ |
$89.24751449797871$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[2, 2, 2, 4]$ |
$[2, 2, 2, 4]$ |
$2$ |
$7$ |
$28292261.4648$ |
| 16.0.275...625.15 |
$x^{16} - 3 x^{15} + 62 x^{14} - 104 x^{13} + 118 x^{12} - 1595 x^{11} + 8761 x^{10} - 32187 x^{9} + 60248 x^{8} - 163544 x^{7} + 261154 x^{6} + 164693 x^{5} + 284213 x^{4} - 2167328 x^{3} + 1204558 x^{2} + 3832873 x + 1976101$ |
$16$ |
[0,8] |
$5^{12}\cdot 101^{12}$ |
$2$ |
$106.529167613$ |
$106.52916761335055$ |
|
|
? |
$C_2^3.D_4$ (as 16T153) |
$[2, 2, 2, 2, 8]$ |
$[2, 2, 2, 2, 8]$ |
$2$ |
$7$ |
$20486866.2961$ |
| 16.0.275...625.18 |
$x^{16} - 4 x^{15} - 10 x^{14} + 110 x^{13} + 171 x^{12} + 1805 x^{11} + 6424 x^{10} - 54195 x^{9} - 179674 x^{8} + 441135 x^{7} + 1816645 x^{6} - 634474 x^{5} - 6769624 x^{4} - 1799910 x^{3} + 14787915 x^{2} + 18069835 x + 6377095$ |
$16$ |
[0,8] |
$5^{12}\cdot 101^{12}$ |
$2$ |
$106.529167613$ |
$106.52916761335055$ |
|
|
? |
$C_2^3.D_4$ (as 16T153) |
$[2, 2, 4, 80]$ |
$[2, 2, 4, 80]$ |
$2$ |
$7$ |
$9789769.09131$ |
| 16.0.139...849.2 |
$x^{16} - 2 x^{15} - 23 x^{14} + 248 x^{13} - 566 x^{12} - 4208 x^{11} + 50053 x^{10} - 233934 x^{9} + 745053 x^{8} - 1089020 x^{7} + 12169 x^{6} + 6505958 x^{5} - 5766028 x^{4} - 12585590 x^{3} + 128862373 x^{2} - 32955162 x + 79136209$ |
$16$ |
[0,8] |
$13^{14}\cdot 29^{12}$ |
$2$ |
$117.895962315$ |
$117.89596231546194$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[2, 2, 2, 4]$ |
$[2, 2, 2, 4]$ |
$2$ |
$7$ |
$252194041.369$ |
| 16.0.114...321.17 |
$x^{16} - 3 x^{15} - x^{14} - 62 x^{13} + 1544 x^{12} - 6204 x^{11} + 24928 x^{10} - 80924 x^{9} + 226601 x^{8} + 373175 x^{7} - 259506 x^{6} + 3491754 x^{5} + 6236853 x^{4} - 18663891 x^{3} + 36302232 x^{2} - 16606585 x + 5768309$ |
$16$ |
[0,8] |
$13^{12}\cdot 53^{12}$ |
$2$ |
$134.482079636$ |
$134.48207963630105$ |
|
|
? |
$C_2^3.D_4$ (as 16T153) |
$[2, 2, 4, 16]$ |
$[2, 2, 4, 16]$ |
$2$ |
$7$ |
$92151337.5829$ |
| 16.0.114...321.26 |
$x^{16} - 51 x^{14} - 91 x^{13} + 675 x^{12} + 897 x^{11} - 952 x^{10} + 44655 x^{9} + 139326 x^{8} + 27456 x^{7} + 99839 x^{6} + 576277 x^{5} + 2164081 x^{4} + 2743988 x^{3} - 5534996 x^{2} - 9586733 x + 14946187$ |
$16$ |
[0,8] |
$13^{12}\cdot 53^{12}$ |
$2$ |
$134.482079636$ |
$134.48207963630105$ |
|
|
? |
$C_2^3.D_4$ (as 16T153) |
$[2, 4, 4, 32]$ |
$[2, 4, 4, 32]$ |
$2$ |
$7$ |
$50273311.1425$ |
| 16.0.618...401.17 |
$x^{16} - 79 x^{14} - 50 x^{13} + 2937 x^{12} + 4152 x^{11} - 49194 x^{10} - 81428 x^{9} + 523030 x^{8} + 1223854 x^{7} - 1561512 x^{6} - 7918152 x^{5} + 3974057 x^{4} + 68614741 x^{3} + 104588819 x^{2} + 23804172 x + 23904981$ |
$16$ |
[0,8] |
$13^{12}\cdot 61^{12}$ |
$2$ |
$149.435881751$ |
$149.4358817512091$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[2, 2, 2, 2, 40]$ |
$[2, 2, 2, 2, 40]$ |
$2$ |
$7$ |
$182610957.601$ |
| 16.0.618...401.34 |
$x^{16} - 2 x^{15} + 52 x^{14} - 226 x^{13} + 2852 x^{12} - 9184 x^{11} + 61884 x^{10} - 267426 x^{9} + 1401095 x^{8} - 4024434 x^{7} + 15278357 x^{6} - 46471874 x^{5} + 123797550 x^{4} - 83967946 x^{3} - 142924551 x^{2} + 345668702 x + 760021895$ |
$16$ |
[0,8] |
$13^{12}\cdot 61^{12}$ |
$2$ |
$149.435881751$ |
$149.4358817512091$ |
|
|
? |
$C_2^3.D_4$ (as 16T153) |
$[2, 2, 4, 144]$ |
$[2, 2, 4, 144]$ |
$2$ |
$7$ |
$58022241.9335$ |
| 16.0.477...625.12 |
$x^{16} - 5 x^{15} + 64 x^{14} - 145 x^{13} + 1930 x^{12} - 1340 x^{11} + 11901 x^{10} + 47990 x^{9} + 59824 x^{8} - 715475 x^{7} + 7025046 x^{6} - 27728490 x^{5} + 86068185 x^{4} - 180254820 x^{3} + 289889874 x^{2} - 293573240 x + 181960961$ |
$16$ |
[0,8] |
$5^{12}\cdot 89^{14}$ |
$2$ |
$169.802374494$ |
$169.8023744936812$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[4, 4, 16]$ |
$[4, 4, 16]$ |
$2$ |
$7$ |
$1343641114.36$ |
| 16.0.159...081.31 |
$x^{16} - x^{15} + 47 x^{14} - 527 x^{13} + 680 x^{12} - 22632 x^{11} + 160488 x^{10} - 449724 x^{9} + 4759005 x^{8} - 26059486 x^{7} + 41859250 x^{6} + 360175 x^{5} + 197316058 x^{4} - 1248920470 x^{3} + 2495253754 x^{2} - 2126532772 x + 669593281$ |
$16$ |
[0,8] |
$37^{12}\cdot 149^{8}$ |
$2$ |
$183.123646287$ |
$639.7952248237154$ |
|
|
? |
$C_2^3.D_4$ (as 16T153) |
$[2, 2, 24]$ |
$[2, 2, 24]$ |
$2$ |
$7$ |
$2477297760.12$ |
| 16.0.243...681.19 |
$x^{16} - 2 x^{15} - 13 x^{14} + 413 x^{13} + 2418 x^{12} + 137 x^{11} + 45919 x^{10} - 1218079 x^{9} + 14295838 x^{8} - 50110028 x^{7} + 175795440 x^{6} - 589837818 x^{5} + 2708843366 x^{4} - 4533564132 x^{3} - 1186722909 x^{2} + 3462469449 x + 8792236007$ |
$16$ |
[0,8] |
$37^{12}\cdot 157^{8}$ |
$2$ |
$187.975443977$ |
$665.3896364158364$ |
|
|
? |
$C_2^3.D_4$ (as 16T153) |
$[2, 42]$ |
$[2, 42]$ |
$2$ |
$7$ |
$4952091290.04$ |
| 16.0.280...625.12 |
$x^{16} - 8 x^{15} + 30 x^{14} - 70 x^{13} + 644 x^{12} - 3318 x^{11} + 1678 x^{10} + 21310 x^{9} + 237016 x^{8} - 1111278 x^{7} - 4487262 x^{6} + 17476076 x^{5} + 37528249 x^{4} - 105540056 x^{3} - 165969126 x^{2} + 221846114 x + 539304681$ |
$16$ |
[0,8] |
$5^{12}\cdot 101^{14}$ |
$2$ |
$189.674394053$ |
$189.67439405336557$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[4, 4, 80]$ |
$[4, 4, 80]$ |
$2$ |
$7$ |
$1541877446.3$ |
| 16.0.280...625.16 |
$x^{16} - 5 x^{15} - 26 x^{14} + 215 x^{13} + 1940 x^{12} - 2960 x^{11} - 33459 x^{10} + 81315 x^{9} + 1627734 x^{8} - 16187040 x^{7} + 82887301 x^{6} - 330367710 x^{5} + 1076117505 x^{4} - 2191865015 x^{3} + 1664874844 x^{2} + 1139734480 x + 1526029696$ |
$16$ |
[0,8] |
$5^{12}\cdot 101^{14}$ |
$2$ |
$189.674394053$ |
$189.67439405336557$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[4, 4, 80]$ |
$[4, 4, 80]$ |
$2$ |
$7$ |
$11558936812.1$ |
| 16.0.815...625.2 |
$x^{16} - 4 x^{15} + 51 x^{14} - 1251 x^{13} + 6546 x^{12} - 13063 x^{11} + 214928 x^{10} - 1738953 x^{9} + 5088287 x^{8} - 12504571 x^{7} + 73709337 x^{6} - 210653174 x^{5} - 51245969 x^{4} + 752077588 x^{3} + 131707494 x^{2} - 1439691887 x + 907623461$ |
$16$ |
[0,8] |
$5^{12}\cdot 109^{14}$ |
$2$ |
$202.756921655$ |
$202.7569216545283$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[2, 2, 2, 4]$ |
$[2, 2, 2, 4]$ |
$2$ |
$7$ |
$15267955506.8$ |
| 16.0.321...689.5 |
$x^{16} - 4 x^{15} + 34 x^{14} - 499 x^{13} + 2330 x^{12} - 12634 x^{11} + 98280 x^{10} - 520792 x^{9} + 2120206 x^{8} - 6900528 x^{7} + 17738409 x^{6} - 36121056 x^{5} + 62370434 x^{4} - 79076235 x^{3} + 92356074 x^{2} - 69489412 x + 45453248$ |
$16$ |
[0,8] |
$13^{12}\cdot 53^{14}$ |
$2$ |
$220.901619651$ |
$220.9016196509643$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[8, 8, 64]$ |
$[8, 8, 64]$ |
$2$ |
$7$ |
$6467173394.79$ |
| 16.0.321...689.12 |
$x^{16} - 3 x^{15} - 32 x^{14} + 775 x^{13} - 1740 x^{12} - 15156 x^{11} + 185673 x^{10} - 708652 x^{9} + 2126320 x^{8} - 7894717 x^{7} + 67937542 x^{6} - 320755590 x^{5} + 1113778099 x^{4} - 1696704574 x^{3} + 1612355846 x^{2} + 3245747468 x + 964294267$ |
$16$ |
[0,8] |
$13^{12}\cdot 53^{14}$ |
$2$ |
$220.901619651$ |
$220.9016196509643$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[8, 8, 64]$ |
$[8, 8, 64]$ |
$2$ |
$7$ |
$1047146823.42$ |
| 16.0.827...489.13 |
$x^{16} - 3 x^{15} + 7 x^{14} - 604 x^{13} + 3277 x^{12} - 27486 x^{11} + 170245 x^{10} - 80089 x^{9} + 4449875 x^{8} + 2457341 x^{7} + 98200136 x^{6} + 114075384 x^{5} + 757321521 x^{4} + 2206518436 x^{3} + 3657455405 x^{2} - 9494630572 x + 9143843279$ |
$16$ |
[0,8] |
$17^{14}\cdot 53^{12}$ |
$2$ |
$234.341771376$ |
$234.3417713764912$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[4, 20, 80]$ |
$[4, 20, 80]$ |
$2$ |
$7$ |
$3011905006.02$ |
| 16.0.143...481.6 |
$x^{16} - 2 x^{15} - 49 x^{14} + 160 x^{13} + 7474 x^{12} - 11638 x^{11} - 276102 x^{10} - 188070 x^{9} + 2944004 x^{8} + 8159304 x^{7} - 157760522 x^{6} + 561923534 x^{5} + 2309963333 x^{4} - 13952938768 x^{3} + 80015826933 x^{2} - 89895915272 x + 34103781328$ |
$16$ |
[0,8] |
$17^{12}\cdot 89^{12}$ |
$2$ |
$242.593519957$ |
$242.5935199570227$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[4, 28]$ |
$[4, 28]$ |
$2$ |
$7$ |
$207783740805$ |
| 16.0.148...761.11 |
$x^{16} - x^{15} - 21 x^{14} + 279 x^{13} - 1802 x^{12} - 13059 x^{11} + 276033 x^{10} + 1587075 x^{9} - 11621499 x^{8} - 96153882 x^{7} + 330208021 x^{6} + 4122671339 x^{5} - 1269953021 x^{4} - 86907862279 x^{3} - 115905519180 x^{2} + 675228426700 x + 1550616680000$ |
$16$ |
[0,8] |
$37^{12}\cdot 41^{12}$ |
$2$ |
$243.074379386$ |
$243.0743793855133$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[2, 96]$ |
$[2, 96]$ |
$2$ |
$7$ |
$592324580865$ |
| 16.0.230...121.12 |
$x^{16} - x^{15} - 59 x^{14} + 975 x^{13} - 5610 x^{12} + 2004 x^{11} + 339453 x^{10} - 3398826 x^{9} + 25443972 x^{8} - 130922058 x^{7} + 551760306 x^{6} - 1691614554 x^{5} + 4073349145 x^{4} - 6871533949 x^{3} + 8541042472 x^{2} - 5731040151 x + 3550582512$ |
$16$ |
[0,8] |
$13^{12}\cdot 61^{14}$ |
$2$ |
$249.816500224$ |
$249.81650022369612$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[4, 4, 144]$ |
$[4, 4, 144]$ |
$2$ |
$7$ |
$105243879864$ |
| 16.0.230...121.15 |
$x^{16} - x^{15} - 34 x^{14} + 61 x^{13} + 6648 x^{12} - 67594 x^{11} + 362064 x^{10} - 1206201 x^{9} + 7539975 x^{8} - 58994853 x^{7} + 350099201 x^{6} - 1350217608 x^{5} + 4109665041 x^{4} - 8986318578 x^{3} + 15019051185 x^{2} - 16890266610 x + 12598332327$ |
$16$ |
[0,8] |
$13^{12}\cdot 61^{14}$ |
$2$ |
$249.816500224$ |
$249.81650022369612$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[4, 4, 144]$ |
$[4, 4, 144]$ |
$2$ |
$7$ |
$5080397948.55$ |
| 16.0.420...121.37 |
$x^{16} - 3 x^{15} + 9 x^{14} + 132 x^{13} - 30 x^{12} + 4168 x^{11} - 8282 x^{10} + 47923 x^{9} + 1169013 x^{8} - 150623 x^{7} + 13276946 x^{6} + 58950874 x^{5} - 29801237 x^{4} - 1166884166 x^{3} - 1523931466 x^{2} + 6635591387 x + 19986183365$ |
$16$ |
[0,8] |
$37^{8}\cdot 149^{12}$ |
$2$ |
$259.412299457$ |
$639.7952248237154$ |
|
|
? |
$C_2^3.D_4$ (as 16T153) |
$[6, 6, 42]$ |
$[6, 6, 42]$ |
$2$ |
$7$ |
$9485407930.78$ |
| 16.0.649...625.2 |
$x^{16} - 50 x^{14} - 745 x^{13} - 806 x^{12} + 7450 x^{11} + 296155 x^{10} + 2299070 x^{9} + 12847216 x^{8} + 42832285 x^{7} + 116338510 x^{6} + 206107230 x^{5} + 369800749 x^{4} + 493108050 x^{3} + 452248200 x^{2} + 532001520 x + 393466896$ |
$16$ |
[0,8] |
$5^{12}\cdot 149^{14}$ |
$2$ |
$266.541899338$ |
$266.5418993378285$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[2, 2, 2, 20]$ |
$[2, 2, 2, 20]$ |
$2$ |
$7$ |
$138971814484$ |
| 16.0.787...521.11 |
$x^{16} - 4 x^{15} - 24 x^{14} - 194 x^{13} + 2795 x^{12} + 5583 x^{11} - 112728 x^{10} - 148275 x^{9} + 3738698 x^{8} + 3620209 x^{7} + 6274439 x^{6} - 155145658 x^{5} + 406496520 x^{4} - 727332450 x^{3} + 1452878607 x^{2} - 1574871245 x + 599655887$ |
$16$ |
[0,8] |
$37^{8}\cdot 157^{12}$ |
$2$ |
$269.789846689$ |
$665.3896364158364$ |
|
|
? |
$C_2^3.D_4$ (as 16T153) |
$[2, 330]$ |
$[2, 330]$ |
$2$ |
$7$ |
$11549013961.3$ |
| 16.0.443...089.7 |
$x^{16} + 39 x^{14} - 234 x^{13} + 3549 x^{12} - 16692 x^{11} + 63154 x^{10} - 838214 x^{9} + 3434132 x^{8} - 17612166 x^{7} + 69539106 x^{6} - 248780506 x^{5} + 1224406014 x^{4} - 2354327170 x^{3} + 7385560429 x^{2} - 7335699514 x + 53144217256$ |
$16$ |
[0,8] |
$13^{14}\cdot 101^{12}$ |
$2$ |
$300.567115585$ |
$300.5671155849708$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[2, 520]$ |
$[2, 520]$ |
$2$ |
$7$ |
$403716701569$ |
| 16.0.415...009.3 |
$x^{16} - 2 x^{15} - 187 x^{14} - 2211 x^{13} - 3371 x^{12} + 175437 x^{11} + 3205071 x^{10} + 31931951 x^{9} + 241731727 x^{8} + 1425715943 x^{7} + 7090640937 x^{6} + 28005269737 x^{5} + 93819485253 x^{4} + 237587033685 x^{3} + 522591746065 x^{2} + 436990013286 x + 1227036247667$ |
$16$ |
[0,8] |
$17^{14}\cdot 89^{12}$ |
$2$ |
$345.688801721$ |
$345.68880172101836$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[2, 2, 4, 28]$ |
$[28, 4, 2, 2]$ |
$2$ |
$7$ |
$110870794362$ |
| 16.0.146...321.3 |
$x^{16} - 4 x^{15} - 115 x^{14} + 420 x^{13} + 16109 x^{12} - 222808 x^{11} + 1616403 x^{10} - 371606 x^{9} - 90576580 x^{8} + 1053996706 x^{7} - 5930405367 x^{6} + 7148361312 x^{5} + 164928603681 x^{4} - 964518602438 x^{3} + 5675347388652 x^{2} - 14669183235246 x + 38670342239255$ |
$16$ |
[0,8] |
$29^{14}\cdot 53^{12}$ |
$2$ |
$373.942778259$ |
$373.94277825929873$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[2, 2, 2, 52]$ |
$[2, 2, 2, 52]$ |
$2$ |
$7$ |
$508575039759$ |
| 16.0.150...401.11 |
$x^{16} - 8 x^{15} - 192 x^{14} + 1484 x^{13} + 14072 x^{12} - 104088 x^{11} - 471722 x^{10} + 3349072 x^{9} + 21751858 x^{8} - 108309180 x^{7} - 1610902696 x^{6} + 5227066772 x^{5} + 59510544585 x^{4} - 127866531536 x^{3} - 926013482462 x^{2} + 990837074040 x + 41755052234061$ |
$16$ |
[0,8] |
$37^{12}\cdot 73^{12}$ |
$2$ |
$374.665270496$ |
$374.6652704960157$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[2, 224]$ |
$[2, 224]$ |
$2$ |
$7$ |
$464163470503$ |
| 16.0.249...241.3 |
$x^{16} - 4 x^{15} - 178 x^{14} - 692 x^{13} - 12359 x^{12} + 16001 x^{11} + 1665235 x^{10} + 22090199 x^{9} + 292640406 x^{8} + 2181516473 x^{7} + 16250323516 x^{6} + 88237623819 x^{5} + 418337327203 x^{4} + 817250488540 x^{3} + 2185204606032 x^{2} + 1085176433064 x + 3080104072544$ |
$16$ |
[0,8] |
$37^{12}\cdot 41^{14}$ |
$2$ |
$386.667052335$ |
$386.66705233481866$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[2, 4, 96]$ |
$[2, 4, 96]$ |
$2$ |
$7$ |
$7200785317480$ |
| 16.0.267...881.1 |
$x^{16} - 4 x^{15} + 97 x^{14} - 19 x^{13} + 473 x^{12} - 3679 x^{11} - 28661 x^{10} - 1722680 x^{9} + 878602 x^{8} - 5230050 x^{7} + 15634561 x^{6} + 847860078 x^{5} + 2651004327 x^{4} + 1978726533 x^{3} + 1820763921 x^{2} + 754996941 x + 157192343$ |
$16$ |
[0,8] |
$13^{12}\cdot 101^{14}$ |
$2$ |
$388.363777142$ |
$388.36377714182726$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[2, 520]$ |
$[2, 520]$ |
$2$ |
$7$ |
$388666479443$ |
| 16.0.516...201.6 |
$x^{16} - 6 x^{15} - 6 x^{14} + 746 x^{13} + 11012 x^{12} - 109002 x^{11} - 760306 x^{10} + 575086 x^{9} + 136726299 x^{8} - 257788424 x^{7} - 3644302168 x^{6} - 1923255680 x^{5} + 128360527152 x^{4} + 46641207296 x^{3} - 1170472049152 x^{2} + 1532004884480 x + 9729481076736$ |
$16$ |
[0,8] |
$41^{12}\cdot 73^{12}$ |
$2$ |
$404.650459257$ |
$404.65045925689327$ |
|
|
|
$C_2^3.D_4$ (as 16T153) |
$[4, 1188]$ |
$[4, 1188]$ |
$2$ |
$7$ |
$9410025743600000$ |
