| 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 |
| 16.0.145220537353515625.1 |
$x^{16} - 6 x^{15} + 18 x^{14} - 45 x^{13} + 105 x^{12} - 208 x^{11} + 345 x^{10} - 496 x^{9} + 621 x^{8} - 645 x^{7} + 535 x^{6} - 359 x^{5} + 208 x^{4} - 106 x^{3} + 42 x^{2} - 10 x + 1$ |
$16$ |
[0,8] |
$5^{12}\cdot 29^{6}$ |
$2$ |
$11.8202524613$ |
$18.006383777357115$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
trivial |
$10$ |
$7$ |
$367.977318378$ |
| 16.4.104...000.1 |
$x^{16} + 2 x^{12} - 41 x^{8} + 18 x^{4} + 1$ |
$16$ |
[4,6] |
$2^{32}\cdot 5^{12}$ |
$2$ |
$13.3748060995$ |
$13.37480609952844$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$461.198532283$ |
| 16.4.206...984.1 |
$x^{16} - 4 x^{15} + 6 x^{14} - 4 x^{13} - 5 x^{12} + 12 x^{11} + 12 x^{10} - 68 x^{9} + 126 x^{8} - 132 x^{7} + 70 x^{6} - 24 x^{5} + 28 x^{4} - 36 x^{3} + 24 x^{2} - 8 x + 1$ |
$16$ |
[4,6] |
$2^{44}\cdot 7^{6}$ |
$2$ |
$13.9554631106$ |
$17.798422345016238$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$586.589293907$ |
| 16.4.238...056.1 |
$x^{16} - 2 x^{15} + x^{13} - 2 x^{12} + 5 x^{10} + 3 x^{9} + 4 x^{8} - 23 x^{7} + 25 x^{6} - 31 x^{5} + 30 x^{4} - 18 x^{3} + 10 x^{2} - 5 x + 1$ |
$16$ |
[4,6] |
$2^{12}\cdot 17^{12}$ |
$2$ |
$14.0802118033$ |
$16.74428805718538$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$703.237543643$ |
| 16.4.283...625.1 |
$x^{16} - 2 x^{15} - x^{14} + 4 x^{13} - 5 x^{12} + 11 x^{11} + 14 x^{10} - 65 x^{9} - 3 x^{8} + 111 x^{7} - 14 x^{6} - 48 x^{5} - 53 x^{4} + 15 x^{3} + 46 x^{2} - 11 x + 1$ |
$16$ |
[4,6] |
$3^{8}\cdot 5^{12}\cdot 11^{6}$ |
$3$ |
$14.2334567994$ |
$19.208102881010017$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$620.535619495$ |
| 16.4.283...625.2 |
$x^{16} - 3 x^{15} + 3 x^{14} - 9 x^{13} + 7 x^{12} - 15 x^{11} + 27 x^{10} - 3 x^{9} - 15 x^{8} - 3 x^{7} + 27 x^{6} - 15 x^{5} + 7 x^{4} - 9 x^{3} + 3 x^{2} - 3 x + 1$ |
$16$ |
[4,6] |
$3^{8}\cdot 5^{12}\cdot 11^{6}$ |
$3$ |
$14.2334567994$ |
$19.208102881010017$ |
|
|
|
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$795.712721841$ |
| 16.4.461...904.2 |
$x^{16} - 4 x^{12} - 62 x^{8} - 60 x^{4} + 1$ |
$16$ |
[4,6] |
$2^{62}$ |
$1$ |
$14.6720646913$ |
$15.32165249117718$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$1436.35851663$ |
| 16.4.123...121.1 |
$x^{16} - 3 x^{15} + x^{14} - 3 x^{13} + 19 x^{12} - 27 x^{11} + 7 x^{10} + 33 x^{9} - 47 x^{8} + 33 x^{7} + 7 x^{6} - 27 x^{5} + 19 x^{4} - 3 x^{3} + x^{2} - 3 x + 1$ |
$16$ |
[4,6] |
$3^{12}\cdot 13^{12}$ |
$2$ |
$15.6062462475$ |
$15.606246247497747$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$1723.98100213$ |
| 16.4.167...000.2 |
$x^{16} - 2 x^{12} - 41 x^{8} - 18 x^{4} + 1$ |
$16$ |
[4,6] |
$2^{36}\cdot 5^{12}$ |
$2$ |
$15.9054145753$ |
$15.905414575341013$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$2006.84410169$ |
| 16.4.262...000.1 |
$x^{16} - 8 x^{15} + 30 x^{14} - 60 x^{13} + 20 x^{12} + 256 x^{11} - 888 x^{10} + 1740 x^{9} - 2350 x^{8} + 2240 x^{7} - 1488 x^{6} + 704 x^{5} - 240 x^{4} + 40 x^{3} + 8 x - 4$ |
$16$ |
[4,6] |
$2^{32}\cdot 5^{14}$ |
$2$ |
$16.3553086792$ |
$16.35530867915885$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$2630.30303667$ |
| 16.4.331...744.3 |
$x^{16} - 4 x^{14} - 8 x^{13} - 10 x^{12} + 16 x^{11} + 32 x^{10} - 62 x^{8} - 48 x^{7} + 124 x^{6} + 328 x^{5} + 370 x^{4} + 240 x^{3} + 88 x^{2} + 16 x + 1$ |
$16$ |
[4,6] |
$2^{48}\cdot 7^{6}$ |
$2$ |
$16.5959360243$ |
$21.166010488516726$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$3112.9430372$ |
| 16.4.737...464.9 |
$x^{16} - 8 x^{14} + 20 x^{12} - 8 x^{10} - 34 x^{8} + 8 x^{6} + 20 x^{4} + 8 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{66}$ |
$1$ |
$17.4481237226$ |
$18.220618156107065$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$6076.03247337$ |
| 16.0.121...625.1 |
$x^{16} - 7 x^{15} + 27 x^{14} - 85 x^{13} + 220 x^{12} - 461 x^{11} + 880 x^{10} - 1548 x^{9} + 2241 x^{8} - 2500 x^{7} + 2160 x^{6} - 1477 x^{5} + 798 x^{4} - 327 x^{3} + 93 x^{2} - 15 x + 1$ |
$16$ |
[0,8] |
$5^{12}\cdot 89^{6}$ |
$2$ |
$17.9990156983$ |
$31.544417096966722$ |
|
|
|
$C_4\wr C_2$ (as 16T28) |
trivial |
$10$ |
$7$ |
$11362.3874139$ |
| 16.0.259...625.1 |
$x^{16} - 7 x^{15} + 27 x^{14} - 57 x^{13} + 83 x^{12} - 97 x^{11} + 225 x^{10} - 445 x^{9} + 641 x^{8} - 445 x^{7} + 225 x^{6} - 97 x^{5} + 83 x^{4} - 57 x^{3} + 27 x^{2} - 7 x + 1$ |
$16$ |
[0,8] |
$5^{12}\cdot 101^{6}$ |
$2$ |
$18.8733076114$ |
$33.60378443921746$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
$[2]$ |
$10$ |
$7$ |
$18130.7243954$ |
| 16.4.419...000.4 |
$x^{16} + 20 x^{12} - 210 x^{8} + 100 x^{4} + 25$ |
$16$ |
[4,6] |
$2^{36}\cdot 5^{14}$ |
$2$ |
$19.4498494493$ |
$19.449849449321462$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$10318.7201047$ |
| 16.4.766...625.1 |
$x^{16} - 7 x^{15} + 23 x^{14} - 51 x^{13} + 95 x^{12} - 187 x^{11} + 372 x^{10} - 549 x^{9} + 425 x^{8} + 176 x^{7} - 924 x^{6} + 1174 x^{5} - 856 x^{4} + 403 x^{3} - 191 x^{2} + 196 x - 29$ |
$16$ |
[4,6] |
$5^{12}\cdot 11^{12}$ |
$2$ |
$20.1963094844$ |
$20.19630948441476$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$12448.0503646$ |
| 16.4.209...449.1 |
$x^{16} - 2 x^{15} + 29 x^{13} - 57 x^{12} + 66 x^{11} + 37 x^{10} - 106 x^{9} + 195 x^{8} - 41 x^{7} - 2 x^{6} + 105 x^{5} + 60 x^{4} + 55 x^{3} + 39 x^{2} + 11 x + 1$ |
$16$ |
[4,6] |
$3^{12}\cdot 13^{14}$ |
$2$ |
$21.5050954404$ |
$21.505095440352893$ |
|
|
|
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$28958.6191823$ |
| 16.0.552...625.2 |
$x^{16} - x^{15} - 5 x^{14} - 5 x^{13} + 35 x^{12} + 13 x^{11} - 51 x^{10} - 31 x^{9} + 63 x^{8} + 31 x^{7} - 51 x^{6} - 13 x^{5} + 35 x^{4} + 5 x^{3} - 5 x^{2} + x + 1$ |
$16$ |
[0,8] |
$5^{6}\cdot 29^{12}$ |
$2$ |
$22.8513704084$ |
$27.943673649584856$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
$[3]$ |
$2$ |
$7$ |
$7838.20693897$ |
| 16.0.102...625.2 |
$x^{16} - 4 x^{15} + 14 x^{14} + 11 x^{13} - 44 x^{12} + 108 x^{11} + 281 x^{10} - 317 x^{9} - 1098 x^{8} - 623 x^{7} + 1121 x^{6} + 2427 x^{5} + 946 x^{4} - 2006 x^{3} - 1846 x^{2} + 409 x + 751$ |
$16$ |
[0,8] |
$5^{14}\cdot 109^{6}$ |
$2$ |
$23.7483636513$ |
$42.68860891456584$ |
|
|
|
$C_4\wr C_2$ (as 16T28) |
trivial |
$10$ |
$7$ |
$118928.142177$ |
| 16.4.191...625.1 |
$x^{16} - 2 x^{15} + x^{14} - 3 x^{13} + x^{12} - 31 x^{11} - x^{10} + 26 x^{9} + 107 x^{8} + 106 x^{7} + 294 x^{6} + 299 x^{5} - 59 x^{4} - 128 x^{3} - 404 x^{2} - 192 x - 1264$ |
$16$ |
[4,6] |
$5^{14}\cdot 11^{12}$ |
$2$ |
$24.696946882$ |
$24.69694688202418$ |
|
|
|
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$67562.8965474$ |
| 16.4.274...441.1 |
$x^{16} - 4 x^{15} + 5 x^{14} + 14 x^{13} - 52 x^{12} + 14 x^{11} + 155 x^{10} - 74 x^{9} - 385 x^{8} - 326 x^{7} - 501 x^{6} - 1048 x^{5} - 1104 x^{4} - 568 x^{3} - 133 x^{2} - 8 x + 1$ |
$16$ |
[4,6] |
$17^{12}\cdot 19^{6}$ |
$2$ |
$25.2562746346$ |
$36.49332976140303$ |
|
|
|
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$75135.883149$ |
| 16.4.302...144.45 |
$x^{16} - 8 x^{15} + 16 x^{14} + 16 x^{13} - 60 x^{12} + 112 x^{11} - 808 x^{10} + 1120 x^{9} + 4208 x^{8} - 10288 x^{7} - 3256 x^{6} + 24368 x^{5} - 11472 x^{4} - 16000 x^{3} + 15616 x^{2} - 5872 x + 706$ |
$16$ |
[4,6] |
$2^{62}\cdot 3^{8}$ |
$2$ |
$25.412761497225222$ |
$26.53788057063313$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$102003.45552003833$ |
| 16.0.667...625.2 |
$x^{16} - 6 x^{15} - 4 x^{14} + 91 x^{13} - 52 x^{12} - 846 x^{11} + 1689 x^{10} + 2103 x^{9} - 8872 x^{8} + 1389 x^{7} + 21941 x^{6} - 17167 x^{5} - 27252 x^{4} + 38408 x^{3} + 5334 x^{2} - 30977 x + 14851$ |
$16$ |
[0,8] |
$5^{14}\cdot 149^{6}$ |
$2$ |
$26.7019884952$ |
$49.910496251161156$ |
|
|
|
$C_4\wr C_2$ (as 16T28) |
trivial |
$10$ |
$7$ |
$346477.938234$ |
| 16.16.835...256.1 |
$x^{16} - 4 x^{15} - 18 x^{14} + 52 x^{13} + 115 x^{12} - 252 x^{11} - 316 x^{10} + 612 x^{9} + 372 x^{8} - 780 x^{7} - 106 x^{6} + 472 x^{5} - 92 x^{4} - 92 x^{3} + 36 x^{2} - 1$ |
$16$ |
[16,0] |
$2^{44}\cdot 41^{6}$ |
$2$ |
$27.0786141761$ |
$43.07491374145165$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$15$ |
$1534926.41575$ |
| 16.0.950...441.2 |
$x^{16} - x^{15} + 6 x^{14} + 13 x^{13} + 60 x^{12} + 33 x^{11} + 31 x^{10} + 28 x^{9} + 330 x^{8} + 704 x^{7} + 811 x^{6} + 579 x^{5} + 307 x^{4} + 208 x^{3} + 162 x^{2} + 90 x + 27$ |
$16$ |
[0,8] |
$13^{14}\cdot 17^{6}$ |
$2$ |
$27.2972425556$ |
$38.897787010151276$ |
|
|
|
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$7$ |
$408026.14455$ |
| 16.0.190...625.1 |
$x^{16} - 3 x^{15} + 6 x^{14} + 8 x^{13} - 39 x^{12} + 121 x^{11} - 136 x^{10} + 14 x^{9} + 612 x^{8} - 1676 x^{7} + 3084 x^{6} - 3974 x^{5} + 4061 x^{4} - 3097 x^{3} + 1931 x^{2} - 763 x + 271$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{14}\cdot 41^{6}$ |
$3$ |
$28.5071189194$ |
$45.3472869949515$ |
✓ |
|
|
$C_4\wr C_2$ (as 16T28) |
$[2, 4]$ |
$2$ |
$7$ |
$10253.3634365$ |
| 16.16.190...625.1 |
$x^{16} - 7 x^{15} + x^{14} + 82 x^{13} - 104 x^{12} - 361 x^{11} + 624 x^{10} + 731 x^{9} - 1553 x^{8} - 614 x^{7} + 1799 x^{6} + 14 x^{5} - 844 x^{4} + 187 x^{3} + 61 x^{2} - 17 x + 1$ |
$16$ |
[16,0] |
$3^{8}\cdot 5^{14}\cdot 41^{6}$ |
$3$ |
$28.5071189194$ |
$45.3472869949515$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$15$ |
$2058106.64357$ |
| 16.4.484...304.72 |
$x^{16} - 8 x^{14} - 4 x^{12} - 152 x^{10} + 94 x^{8} - 280 x^{6} - 100 x^{4} + 56 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{66}\cdot 3^{8}$ |
$2$ |
$30.22103678436744$ |
$31.559036391689393$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$801914.121916544$ |
| 16.4.484...304.78 |
$x^{16} - 8 x^{14} - 4 x^{12} + 264 x^{10} - 1186 x^{8} + 2280 x^{6} - 2020 x^{4} + 664 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{66}\cdot 3^{8}$ |
$2$ |
$30.22103678436744$ |
$31.559036391689393$ |
|
|
|
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$1333321.8838294428$ |
| 16.4.484...304.131 |
$x^{16} - 24 x^{14} + 180 x^{12} - 216 x^{10} - 2754 x^{8} + 1944 x^{6} + 14580 x^{4} + 17496 x^{2} + 6561$ |
$16$ |
[4,6] |
$2^{66}\cdot 3^{8}$ |
$2$ |
$30.22103678436744$ |
$31.559036391689393$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$418807.5376857639$ |
| 16.0.516...049.2 |
$x^{16} - 27 x^{13} + 5 x^{12} + 117 x^{11} + 912 x^{10} + 2190 x^{9} + 4886 x^{8} + 6387 x^{7} + 8052 x^{6} + 5253 x^{5} + 4144 x^{4} + 291 x^{3} + 1152 x^{2} - 135 x + 81$ |
$16$ |
[0,8] |
$13^{12}\cdot 53^{6}$ |
$2$ |
$30.3431710524$ |
$49.84199864366084$ |
|
|
|
$C_4\wr C_2$ (as 16T28) |
$[4]$ |
$2$ |
$7$ |
$229781.247841$ |
| 16.4.540...625.1 |
$x^{16} - 2 x^{15} - 2 x^{14} - 18 x^{13} - 32 x^{12} + 68 x^{11} + 249 x^{10} + 491 x^{9} + 808 x^{8} + 358 x^{7} - 634 x^{6} + 290 x^{5} + 1963 x^{4} + 1211 x^{3} - 198 x^{2} - 353 x - 109$ |
$16$ |
[4,6] |
$5^{12}\cdot 19^{12}$ |
$2$ |
$30.4293519937$ |
$30.429351993705872$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
$[2]$ |
$2$ |
$9$ |
$130817.929136$ |
| 16.0.542...696.3 |
$x^{16} + 32 x^{14} + 372 x^{12} + 1952 x^{10} + 4850 x^{8} + 5536 x^{6} + 2924 x^{4} + 672 x^{2} + 49$ |
$16$ |
[0,8] |
$2^{62}\cdot 7^{6}$ |
$2$ |
$30.4370808701$ |
$40.53728216620807$ |
✓ |
|
? |
$C_4\wr C_2$ (as 16T28) |
$[10]$ |
$2$ |
$7$ |
$20726.065235$ |
| 16.0.120...641.8 |
$x^{16} - 7 x^{15} + 25 x^{14} - 70 x^{13} + 139 x^{12} - 148 x^{11} - 29 x^{10} + 617 x^{9} - 1111 x^{8} + 1511 x^{7} + 286 x^{6} - 4041 x^{5} + 3937 x^{4} - 191 x^{3} - 1969 x^{2} + 478 x + 1381$ |
$16$ |
[0,8] |
$13^{12}\cdot 61^{6}$ |
$2$ |
$31.9857252444$ |
$53.471507940612106$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
$[2]$ |
$2$ |
$7$ |
$113920.750816$ |
| 16.4.245...664.104 |
$x^{16} - 12 x^{12} - 558 x^{8} - 1620 x^{4} + 81$ |
$16$ |
[4,6] |
$2^{62}\cdot 3^{12}$ |
$2$ |
$33.44507500385779$ |
$34.925814977847125$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$2399296.7013757913$ |
| 16.4.245...664.107 |
$x^{16} - 180 x^{12} - 558 x^{8} - 108 x^{4} + 81$ |
$16$ |
[4,6] |
$2^{62}\cdot 3^{12}$ |
$2$ |
$33.44507500385779$ |
$34.925814977847125$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$1013044.0405702286$ |
| 16.4.349...921.3 |
$x^{16} - x^{15} - 15 x^{14} - x^{13} + 103 x^{12} + 45 x^{11} - 366 x^{10} - 171 x^{9} + 636 x^{8} - 144 x^{7} + 1116 x^{6} - 1368 x^{5} + 252 x^{4} - 1134 x^{3} + 108 x^{2} - 243 x + 81$ |
$16$ |
[4,6] |
$3^{12}\cdot 37^{12}$ |
$2$ |
$34.1973327405$ |
$34.197332740531884$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
$[2]$ |
$2$ |
$9$ |
$965262.865431$ |
| 16.4.368...289.1 |
$x^{16} - 3 x^{15} + 6 x^{14} + 18 x^{13} - 144 x^{12} + 557 x^{11} - 1629 x^{10} + 3431 x^{9} - 5882 x^{8} + 8267 x^{7} - 8248 x^{6} + 5717 x^{5} - 2400 x^{4} + 37 x^{3} + 603 x^{2} - 552 x + 13$ |
$16$ |
[4,6] |
$17^{12}\cdot 43^{6}$ |
$2$ |
$34.3073649064$ |
$54.89981978409865$ |
|
|
|
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$2219189.24576$ |
| 16.4.628...369.6 |
$x^{16} - 6 x^{15} + 19 x^{14} - 46 x^{13} + 85 x^{12} + 130 x^{11} - 1319 x^{10} + 4522 x^{9} - 9870 x^{8} + 15280 x^{7} - 17725 x^{6} + 15928 x^{5} - 11733 x^{4} + 7254 x^{3} - 3488 x^{2} + 968 x + 13$ |
$16$ |
[4,6] |
$17^{12}\cdot 47^{6}$ |
$2$ |
$35.4709963627$ |
$57.396527724841604$ |
|
|
|
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$1708694.19775$ |
| 16.0.129...169.1 |
$x^{16} - 3 x^{15} + 2 x^{14} + x^{13} + 11 x^{12} - 111 x^{11} + 255 x^{10} - 332 x^{9} + 866 x^{8} - 890 x^{7} - 391 x^{6} - 2768 x^{5} + 9867 x^{4} - 12492 x^{3} + 11003 x^{2} - 6345 x + 2209$ |
$16$ |
[0,8] |
$17^{12}\cdot 53^{6}$ |
$2$ |
$37.1056584045$ |
$60.95012853703848$ |
✓ |
|
|
$C_4\wr C_2$ (as 16T28) |
$[5]$ |
$2$ |
$7$ |
$128061.369114$ |
| 16.4.166...809.1 |
$x^{16} + 5 x^{14} - 2 x^{13} + 6 x^{12} - 44 x^{11} - 252 x^{10} - 602 x^{9} - 626 x^{8} - 302 x^{7} - 522 x^{6} - 1012 x^{5} - 861 x^{4} + 1698 x^{3} + 1645 x^{2} - 1016 x - 164$ |
$16$ |
[4,6] |
$3^{6}\cdot 73^{12}$ |
$2$ |
$37.7061868762$ |
$43.25663903061054$ |
|
|
|
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$113922542.516$ |
| 16.4.245...801.1 |
$x^{16} - 4 x^{15} + 3 x^{14} + 21 x^{13} - 57 x^{12} + 15 x^{11} + 101 x^{10} - 180 x^{9} - 167 x^{8} + 122 x^{7} - 342 x^{6} + 101 x^{5} + 431 x^{4} + 212 x^{3} - 140 x^{2} - 32 x + 16$ |
$16$ |
[4,6] |
$17^{12}\cdot 59^{6}$ |
$2$ |
$38.6283533475$ |
$64.3076585057683$ |
|
|
|
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$2630288.39111$ |
| 16.0.247...081.2 |
$x^{16} - 19 x^{13} - 40 x^{12} + 13 x^{11} + 592 x^{10} + 453 x^{9} - 2871 x^{8} - 4141 x^{7} + 8492 x^{6} + 13969 x^{5} - 12657 x^{4} - 28530 x^{3} + 21357 x^{2} + 5103 x + 2187$ |
$16$ |
[0,8] |
$13^{12}\cdot 101^{6}$ |
$2$ |
$38.6436401587$ |
$68.80471513409687$ |
|
|
|
$C_4\wr C_2$ (as 16T28) |
$[5]$ |
$2$ |
$7$ |
$1503237.84223$ |
| 16.4.527...609.8 |
$x^{16} - 4 x^{15} + 9 x^{14} + 3 x^{13} - 43 x^{12} + 93 x^{11} - 75 x^{10} - 132 x^{9} + 121 x^{8} - 334 x^{7} - 300 x^{6} + 875 x^{5} + 311 x^{4} - 212 x^{3} - 140 x^{2} + 32 x + 16$ |
$16$ |
[4,6] |
$17^{12}\cdot 67^{6}$ |
$2$ |
$40.5148972703$ |
$68.52895233095656$ |
|
|
|
$C_4\wr C_2$ (as 16T28) |
$[5]$ |
$2$ |
$9$ |
$998475.547416$ |
| 16.0.863...625.5 |
$x^{16} - 4 x^{15} - 3 x^{14} + 13 x^{13} + 66 x^{12} - 91 x^{11} - 108 x^{10} - 146 x^{9} + 802 x^{8} + 550 x^{7} + 2123 x^{6} + 102 x^{5} + 3277 x^{4} + 2194 x^{3} + 7204 x^{2} + 3820 x + 3851$ |
$16$ |
[0,8] |
$5^{12}\cdot 29^{12}$ |
$2$ |
$41.7855383348$ |
$41.78553833475025$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
$[2, 12]$ |
$2$ |
$7$ |
$82042.9398575$ |
| 16.0.863...625.7 |
$x^{16} - 2 x^{15} + 6 x^{14} - 49 x^{13} + 89 x^{12} - 183 x^{11} + 929 x^{10} - 1413 x^{9} + 685 x^{8} - 1722 x^{7} + 5533 x^{6} - 10619 x^{5} + 6070 x^{4} + 1512 x^{3} + 10887 x^{2} - 574 x + 39311$ |
$16$ |
[0,8] |
$5^{12}\cdot 29^{12}$ |
$2$ |
$41.7855383348$ |
$41.78553833475025$ |
|
|
? |
$C_4\wr C_2$ (as 16T28) |
$[2, 4]$ |
$2$ |
$7$ |
$142046.185687$ |
| 16.4.190...809.1 |
$x^{16} - 6 x^{15} + 19 x^{14} - 46 x^{13} + 145 x^{12} - 718 x^{11} + 2589 x^{10} - 6942 x^{9} + 12826 x^{8} - 16704 x^{7} + 15111 x^{6} - 8832 x^{5} + 1347 x^{4} + 2038 x^{3} - 1836 x^{2} + 1008 x + 137$ |
$16$ |
[4,6] |
$17^{12}\cdot 83^{6}$ |
$2$ |
$43.9026742888$ |
$76.27386208752327$ |
|
|
|
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$8455107.16318$ |
| 16.4.192...625.1 |
$x^{16} - 3 x^{15} - 8 x^{14} - 20 x^{13} - 37 x^{12} + 118 x^{11} - 586 x^{10} + 492 x^{9} - 2798 x^{8} + 4516 x^{7} - 2252 x^{6} + 10178 x^{5} + 1249 x^{4} - 24201 x^{3} + 6366 x^{2} - 40280 x + 74161$ |
$16$ |
[4,6] |
$5^{12}\cdot 31^{12}$ |
$2$ |
$43.9287427283$ |
$43.92874272828957$ |
|
|
|
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$8464867.53427$ |
| 16.4.505...889.1 |
$x^{16} - 4 x^{15} + 5 x^{14} + 31 x^{13} - 117 x^{12} + 191 x^{11} - 295 x^{10} + 255 x^{9} + 493 x^{8} - 3845 x^{7} + 5725 x^{6} + 5149 x^{5} - 12165 x^{4} - 2167 x^{3} + 7273 x^{2} + 3960 x - 2281$ |
$16$ |
[4,6] |
$3^{6}\cdot 97^{12}$ |
$2$ |
$46.6658597224$ |
$53.535199825186666$ |
|
|
|
$C_4\wr C_2$ (as 16T28) |
trivial |
$2$ |
$9$ |
$9364641.51422$ |
| 16.0.624...809.2 |
$x^{16} - 7 x^{15} + 12 x^{14} + 6 x^{13} + 35 x^{12} - 291 x^{11} + 954 x^{10} - 3520 x^{9} + 9784 x^{8} - 13482 x^{7} + 5812 x^{6} + 3882 x^{5} + 13689 x^{4} + 18603 x^{3} + 18549 x^{2} + 6561 x + 729$ |
$16$ |
[0,8] |
$13^{12}\cdot 173^{6}$ |
$2$ |
$47.2851534668$ |
$90.0493465746338$ |
|
|
|
$C_4\wr C_2$ (as 16T28) |
$[7]$ |
$2$ |
$7$ |
$7203842.04142$ |
