| 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 |
| 16.0.281792804290560000.2 |
$x^{16} - 4 x^{15} + 8 x^{14} - 20 x^{12} + 16 x^{11} + 6 x^{10} - 28 x^{9} + 15 x^{8} + 32 x^{7} + 18 x^{6} + 40 x^{5} + 58 x^{4} + 48 x^{3} + 26 x^{2} + 8 x + 1$ |
$16$ |
[0,8] |
$2^{36}\cdot 3^{8}\cdot 5^{4}$ |
$3$ |
$12.320281153$ |
$18.42311740638763$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$24$ |
$7$ |
$1635.45925868$ |
| 16.0.403275801600000000.1 |
$x^{16} - 2 x^{15} + 2 x^{14} + 6 x^{13} - 17 x^{12} + 2 x^{11} + 48 x^{10} - 116 x^{9} + 153 x^{8} - 116 x^{7} + 48 x^{6} + 2 x^{5} - 17 x^{4} + 6 x^{3} + 2 x^{2} - 2 x + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 7^{4}$ |
$4$ |
$12.5994078696$ |
$20.493901531919196$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$12$ |
$7$ |
$845.576216693$ |
| 16.0.403275801600000000.2 |
$x^{16} - 6 x^{15} + 16 x^{14} - 28 x^{13} + 42 x^{12} - 58 x^{11} + 74 x^{10} - 76 x^{9} + 42 x^{8} + 12 x^{7} - 50 x^{6} + 74 x^{5} - 15 x^{4} - 58 x^{3} + 10 x^{2} + 20 x + 4$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 7^{4}$ |
$4$ |
$12.5994078696$ |
$20.493901531919196$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$12$ |
$7$ |
$1417.42136954$ |
| 16.0.687970713600000000.4 |
$x^{16} - x^{12} - 3 x^{8} - 4 x^{4} + 16$ |
$16$ |
[0,8] |
$2^{28}\cdot 3^{8}\cdot 5^{8}$ |
$3$ |
$13.0271112487$ |
$18.42311740638763$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$12$ |
$7$ |
$1607.46236464$ |
| 16.0.108...296.1 |
$x^{16} - 4 x^{15} + 10 x^{14} - 16 x^{13} + 18 x^{12} - 4 x^{11} - 34 x^{10} + 68 x^{9} - 49 x^{8} - 8 x^{7} + 50 x^{6} - 68 x^{5} + 72 x^{4} - 56 x^{3} + 28 x^{2} - 8 x + 1$ |
$16$ |
[0,8] |
$2^{36}\cdot 3^{8}\cdot 7^{4}$ |
$3$ |
$13.4014758353$ |
$21.798526485920096$ |
|
|
? |
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$24$ |
$7$ |
$2827.2347587$ |
| 16.0.154...000.1 |
$x^{16} - 4 x^{15} + 17 x^{14} - 42 x^{13} + 94 x^{12} - 170 x^{11} + 261 x^{10} - 334 x^{9} + 363 x^{8} - 334 x^{7} + 261 x^{6} - 170 x^{5} + 94 x^{4} - 42 x^{3} + 17 x^{2} - 4 x + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{4}\cdot 7^{8}$ |
$4$ |
$13.7050979606$ |
$20.493901531919196$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$12$ |
$7$ |
$1847.0477599$ |
| 16.0.154...000.3 |
$x^{16} - 6 x^{15} + 9 x^{14} + 12 x^{13} - 35 x^{12} - 4 x^{11} + 28 x^{10} + 46 x^{9} - 49 x^{8} - 68 x^{7} + 105 x^{6} - 30 x^{5} + 55 x^{4} - 114 x^{3} + 90 x^{2} - 28 x + 4$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{4}\cdot 7^{8}$ |
$4$ |
$13.7050979606$ |
$20.493901531919196$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$12$ |
$7$ |
$3096.16674848$ |
| 16.0.217...000.1 |
$x^{16} - 2 x^{14} + 2 x^{12} - 12 x^{11} + 18 x^{10} + 24 x^{9} - 37 x^{8} - 48 x^{7} + 90 x^{6} - 48 x^{5} + 56 x^{4} - 84 x^{3} + 52 x^{2} - 12 x + 1$ |
$16$ |
[0,8] |
$2^{36}\cdot 3^{4}\cdot 5^{8}$ |
$3$ |
$13.9985420463$ |
$18.42311740638763$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
$[2]$ |
$8$ |
$7$ |
$948.065285383$ |
| 16.0.378...000.2 |
$x^{16} + 15 x^{12} + 32 x^{8} + 15 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{8}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ |
$4$ |
$14.4913767462$ |
$20.493901531919196$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$6$ |
$7$ |
$3601.22229711$ |
| 16.0.378...000.3 |
$x^{16} - x^{15} - 11 x^{13} + 6 x^{12} + 22 x^{10} + 10 x^{9} + 21 x^{8} - 10 x^{7} + 22 x^{6} + 6 x^{4} + 11 x^{3} + x + 1$ |
$16$ |
[0,8] |
$2^{8}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ |
$4$ |
$14.4913767462$ |
$20.493901531919196$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$6$ |
$7$ |
$2148.34345729$ |
| 16.0.450...000.1 |
$x^{16} - 8 x^{14} + 44 x^{12} - 24 x^{11} - 168 x^{10} + 252 x^{9} + 335 x^{8} - 1536 x^{7} + 2352 x^{6} - 2028 x^{5} + 1052 x^{4} - 336 x^{3} + 76 x^{2} - 12 x + 1$ |
$16$ |
[0,8] |
$2^{40}\cdot 3^{8}\cdot 5^{4}$ |
$3$ |
$14.6513660059$ |
$21.908902300206645$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
$[2]$ |
$24$ |
$7$ |
$3841.1002703$ |
| 16.0.450...000.2 |
$x^{16} - 4 x^{15} + 20 x^{14} - 64 x^{13} + 186 x^{12} - 416 x^{11} + 808 x^{10} - 1280 x^{9} + 1766 x^{8} - 2024 x^{7} + 2000 x^{6} - 1592 x^{5} + 1036 x^{4} - 464 x^{3} + 144 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{40}\cdot 3^{8}\cdot 5^{4}$ |
$3$ |
$14.6513660059$ |
$21.908902300206645$ |
|
|
? |
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$24$ |
$7$ |
$5843.72447927$ |
| 16.0.450...000.3 |
$x^{16} - 4 x^{15} - 4 x^{14} + 24 x^{13} + 36 x^{12} - 164 x^{11} + 80 x^{10} + 16 x^{9} + 401 x^{8} - 644 x^{7} - 12 x^{6} + 576 x^{5} - 278 x^{4} - 168 x^{3} + 204 x^{2} - 72 x + 9$ |
$16$ |
[0,8] |
$2^{40}\cdot 3^{8}\cdot 5^{4}$ |
$3$ |
$14.6513660059$ |
$21.908902300206645$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$24$ |
$7$ |
$7455.41021685$ |
| 16.0.101...616.5 |
$x^{16} + 3 x^{12} + 89 x^{8} - 72 x^{4} + 16$ |
$16$ |
[0,8] |
$2^{28}\cdot 3^{8}\cdot 7^{8}$ |
$3$ |
$15.4138858981$ |
$21.798526485920096$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$12$ |
$7$ |
$6069.99483452$ |
| 16.0.110...000.2 |
$x^{16} - 12 x^{14} + 63 x^{12} - 180 x^{10} + 296 x^{8} - 270 x^{6} + 123 x^{4} - 18 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{8}\cdot 5^{8}$ |
$3$ |
$15.4919333848$ |
$21.908902300206645$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$12$ |
$7$ |
$5743.68766444$ |
| 16.0.110...000.3 |
$x^{16} + 2 x^{14} + 5 x^{12} - 12 x^{10} + 20 x^{8} + 90 x^{6} + 53 x^{4} - 16 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{8}\cdot 5^{8}$ |
$3$ |
$15.4919333848$ |
$18.42311740638763$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$6$ |
$7$ |
$4188.78212136$ |
| 16.0.110...000.5 |
$x^{16} - 6 x^{14} + 2 x^{12} + 60 x^{10} + 111 x^{8} + 60 x^{6} + 2 x^{4} - 6 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{8}\cdot 5^{8}$ |
$3$ |
$15.4919333848$ |
$21.908902300206645$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$12$ |
$7$ |
$7550.69145325$ |
| 16.0.110...000.7 |
$x^{16} - 2 x^{14} + 2 x^{12} + 12 x^{10} + 23 x^{8} + 12 x^{6} + 2 x^{4} - 2 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{8}\cdot 5^{8}$ |
$3$ |
$15.4919333848$ |
$21.908902300206645$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$12$ |
$7$ |
$7327.78347914$ |
| 16.0.110...000.12 |
$x^{16} - 2 x^{14} + 5 x^{12} + 12 x^{10} + 20 x^{8} - 90 x^{6} + 53 x^{4} + 16 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{8}\cdot 5^{8}$ |
$3$ |
$15.4919333848$ |
$18.42311740638763$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
$[2]$ |
$6$ |
$7$ |
$1896.13057077$ |
| 16.0.119...000.1 |
$x^{16} - x^{14} + 11 x^{12} + 33 x^{10} + 56 x^{8} + 33 x^{6} + 11 x^{4} - x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{4}\cdot 5^{8}\cdot 7^{8}$ |
$4$ |
$15.5719977222$ |
$20.493901531919196$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$4$ |
$7$ |
$2134.72025179$ |
| 16.0.119...000.2 |
$x^{16} - 8 x^{15} + 38 x^{14} - 126 x^{13} + 292 x^{12} - 478 x^{11} + 542 x^{10} - 378 x^{9} + 76 x^{8} + 138 x^{7} - 124 x^{6} - 26 x^{5} + 145 x^{4} - 150 x^{3} + 86 x^{2} - 28 x + 4$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{4}\cdot 5^{8}\cdot 7^{8}$ |
$4$ |
$15.5719977222$ |
$20.493901531919196$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$4$ |
$7$ |
$3578.38600842$ |
| 16.0.320...416.1 |
$x^{16} + 12 x^{14} + 12 x^{12} - 20 x^{10} - 6 x^{8} - 20 x^{6} + 12 x^{4} + 12 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{36}\cdot 3^{4}\cdot 7^{8}$ |
$3$ |
$16.5632983186$ |
$21.798526485920096$ |
|
|
? |
$Q_8 : C_2^2$ (as 16T23) |
$[2]$ |
$8$ |
$7$ |
$8815.61895809$ |
| 16.0.347...000.1 |
$x^{16} - 8 x^{15} + 44 x^{14} - 164 x^{13} + 468 x^{12} - 1036 x^{11} + 1828 x^{10} - 2572 x^{9} + 2887 x^{8} - 2572 x^{7} + 1828 x^{6} - 1036 x^{5} + 468 x^{4} - 164 x^{3} + 44 x^{2} - 8 x + 1$ |
$16$ |
[0,8] |
$2^{40}\cdot 3^{4}\cdot 5^{8}$ |
$3$ |
$16.6471658012$ |
$21.908902300206645$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$8$ |
$7$ |
$8906.64516311$ |
| 16.0.347...000.3 |
$x^{16} - 4 x^{15} + 4 x^{14} + 20 x^{13} - 70 x^{12} + 60 x^{11} + 128 x^{10} - 364 x^{9} + 282 x^{8} + 188 x^{7} - 460 x^{6} + 60 x^{5} + 526 x^{4} - 612 x^{3} + 320 x^{2} - 84 x + 9$ |
$16$ |
[0,8] |
$2^{40}\cdot 3^{4}\cdot 5^{8}$ |
$3$ |
$16.6471658012$ |
$21.908902300206645$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$8$ |
$7$ |
$8643.70735911$ |
| 16.0.347...000.4 |
$x^{16} - 4 x^{15} + 16 x^{14} - 32 x^{13} + 70 x^{12} - 116 x^{11} + 240 x^{10} - 408 x^{9} + 609 x^{8} - 692 x^{7} + 812 x^{6} - 1224 x^{5} + 1668 x^{4} - 1528 x^{3} + 868 x^{2} - 280 x + 41$ |
$16$ |
[0,8] |
$2^{40}\cdot 3^{4}\cdot 5^{8}$ |
$3$ |
$16.6471658012$ |
$21.908902300206645$ |
|
|
? |
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$8$ |
$7$ |
$6775.13950499$ |
| 16.0.162...856.2 |
$x^{16} + 8 x^{14} + 42 x^{12} + 94 x^{10} + 47 x^{8} - 38 x^{6} + 30 x^{4} - 10 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{8}\cdot 7^{8}$ |
$3$ |
$18.3303027798$ |
$21.798526485920096$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
$[2]$ |
$6$ |
$7$ |
$9556.59557981$ |
| 16.0.162...856.7 |
$x^{16} - 8 x^{14} + 42 x^{12} - 94 x^{10} + 47 x^{8} + 38 x^{6} + 30 x^{4} + 10 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{8}\cdot 7^{8}$ |
$3$ |
$18.3303027798$ |
$21.798526485920096$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$6$ |
$7$ |
$12975.7658516$ |
| 16.8.176...000.1 |
$x^{16} - 4 x^{15} + 2 x^{14} + 4 x^{13} + 18 x^{12} - 20 x^{11} - 110 x^{10} + 56 x^{9} + 447 x^{8} - 448 x^{7} - 262 x^{6} + 280 x^{5} + 136 x^{4} - 48 x^{3} - 60 x^{2} + 9$ |
$16$ |
[8,4] |
$2^{36}\cdot 3^{8}\cdot 5^{8}$ |
$3$ |
$18.4231174064$ |
$18.42311740638763$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$2$ |
$11$ |
$18243.637753$ |
| 16.0.176...000.1 |
$x^{16} - 4 x^{15} + 10 x^{14} - 8 x^{13} - 12 x^{12} + 72 x^{11} - 52 x^{10} - 60 x^{9} + 187 x^{8} - 60 x^{7} - 52 x^{6} + 72 x^{5} - 12 x^{4} - 8 x^{3} + 10 x^{2} - 4 x + 1$ |
$16$ |
[0,8] |
$2^{36}\cdot 3^{8}\cdot 5^{8}$ |
$3$ |
$18.4231174064$ |
$18.42311740638763$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
$[4]$ |
$6$ |
$7$ |
$10573.7624663$ |
| 16.0.176...000.8 |
$x^{16} - 4 x^{14} + 42 x^{12} + 4 x^{10} - 27 x^{8} - 64 x^{6} + 148 x^{4} - 120 x^{2} + 36$ |
$16$ |
[0,8] |
$2^{36}\cdot 3^{8}\cdot 5^{8}$ |
$3$ |
$18.4231174064$ |
$18.42311740638763$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
$[4]$ |
$2$ |
$7$ |
$3270.91851736$ |
| 16.0.176...000.9 |
$x^{16} + 4 x^{14} + 42 x^{12} - 4 x^{10} - 27 x^{8} + 64 x^{6} + 148 x^{4} + 120 x^{2} + 36$ |
$16$ |
[0,8] |
$2^{36}\cdot 3^{8}\cdot 5^{8}$ |
$3$ |
$18.4231174064$ |
$18.42311740638763$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
$[4]$ |
$2$ |
$7$ |
$9093.42501948$ |
| 16.0.968...000.2 |
$x^{16} - 4 x^{15} + 7 x^{14} - 8 x^{13} + 60 x^{11} - 67 x^{10} - 138 x^{9} + 379 x^{8} - 138 x^{7} - 67 x^{6} + 60 x^{5} - 8 x^{3} + 7 x^{2} - 4 x + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ |
$4$ |
$20.4939015319$ |
$20.493901531919196$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
$[4]$ |
$6$ |
$7$ |
$32557.033374$ |
| 16.8.968...000.2 |
$x^{16} - 4 x^{15} + 10 x^{14} - 20 x^{13} + 2 x^{12} + 102 x^{11} - 350 x^{10} + 690 x^{9} - 921 x^{8} + 976 x^{7} - 642 x^{6} - 54 x^{5} + 573 x^{4} - 374 x^{3} - 73 x^{2} + 84 x + 1$ |
$16$ |
[8,4] |
$2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ |
$4$ |
$20.4939015319$ |
$20.493901531919196$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$2$ |
$11$ |
$40051.4425285$ |
| 16.8.968...000.3 |
$x^{16} - 2 x^{14} - 4 x^{13} - 20 x^{12} + 6 x^{11} + 54 x^{10} + 26 x^{9} + 40 x^{8} + 40 x^{7} - 212 x^{6} - 222 x^{5} + 233 x^{4} + 206 x^{3} - 58 x^{2} - 28 x + 4$ |
$16$ |
[8,4] |
$2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ |
$4$ |
$20.4939015319$ |
$20.493901531919196$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$2$ |
$11$ |
$67137.3785118$ |
| 16.0.968...000.4 |
$x^{16} - 4 x^{15} + 20 x^{14} - 36 x^{13} + 135 x^{12} - 242 x^{11} + 612 x^{10} - 690 x^{9} + 985 x^{8} - 1434 x^{7} + 1322 x^{6} - 1108 x^{5} + 856 x^{4} - 536 x^{3} + 264 x^{2} - 80 x + 16$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ |
$4$ |
$20.4939015319$ |
$20.493901531919196$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
$[4]$ |
$6$ |
$7$ |
$14313.5440337$ |
| 16.0.968...000.5 |
$x^{16} + 54 x^{12} + 737 x^{8} + 1896 x^{4} + 16$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ |
$4$ |
$20.4939015319$ |
$20.493901531919196$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
$[4]$ |
$12$ |
$7$ |
$31173.385849$ |
| 16.0.968...000.6 |
$x^{16} + 6 x^{14} + 29 x^{12} + 65 x^{10} + 18 x^{8} - 31 x^{6} + 60 x^{4} + 20 x^{2} + 16$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ |
$4$ |
$20.4939015319$ |
$20.493901531919196$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
$[4]$ |
$2$ |
$7$ |
$31173.385849$ |
| 16.0.968...000.7 |
$x^{16} + 18 x^{14} + 113 x^{12} + 279 x^{10} + 298 x^{8} + 333 x^{6} + 387 x^{4} - 81 x^{2} + 81$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ |
$4$ |
$20.4939015319$ |
$20.493901531919196$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
$[4]$ |
$2$ |
$7$ |
$3382.30486677$ |
| 16.0.968...000.9 |
$x^{16} + 8 x^{14} - 4 x^{13} + 28 x^{12} - 24 x^{11} + 141 x^{10} - 218 x^{9} + 489 x^{8} - 664 x^{7} + 568 x^{6} - 440 x^{5} + 148 x^{4} - 288 x^{3} + 768 x^{2} - 576 x + 144$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ |
$4$ |
$20.4939015319$ |
$20.493901531919196$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
$[4]$ |
$2$ |
$7$ |
$7388.19103958$ |
| 16.0.968...000.10 |
$x^{16} - 6 x^{14} + 17 x^{12} + 61 x^{10} - 102 x^{8} - 71 x^{6} + 228 x^{4} - 320 x^{2} + 256$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ |
$4$ |
$20.4939015319$ |
$20.493901531919196$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
$[4]$ |
$4$ |
$7$ |
$54574.6603581$ |
| 16.0.968...000.11 |
$x^{16} - 6 x^{15} + 7 x^{14} + 24 x^{13} - 73 x^{12} + 60 x^{11} + 156 x^{10} - 858 x^{9} + 1439 x^{8} - 252 x^{7} - 618 x^{6} - 1716 x^{5} + 1802 x^{4} + 762 x^{3} + 550 x^{2} - 378 x + 301$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ |
$4$ |
$20.4939015319$ |
$20.493901531919196$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
$[4]$ |
$6$ |
$7$ |
$10360.2378236$ |
| 16.8.259...696.1 |
$x^{16} - 8 x^{14} + 4 x^{12} + 8 x^{10} + 204 x^{8} - 464 x^{6} + 352 x^{4} - 160 x^{2} + 16$ |
$16$ |
[8,4] |
$2^{36}\cdot 3^{8}\cdot 7^{8}$ |
$3$ |
$21.7985264859$ |
$21.798526485920096$ |
|
|
? |
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$2$ |
$11$ |
$67900.1503241$ |
| 16.0.259...696.1 |
$x^{16} - 4 x^{15} + 14 x^{14} - 8 x^{13} + 32 x^{11} - 4 x^{10} - 12 x^{9} + 43 x^{8} - 12 x^{7} - 4 x^{6} + 32 x^{5} - 8 x^{3} + 14 x^{2} - 4 x + 1$ |
$16$ |
[0,8] |
$2^{36}\cdot 3^{8}\cdot 7^{8}$ |
$3$ |
$21.7985264859$ |
$21.798526485920096$ |
|
|
? |
$Q_8 : C_2^2$ (as 16T23) |
$[2, 2]$ |
$6$ |
$7$ |
$17631.2379162$ |
| 16.0.259...696.4 |
$x^{16} - 8 x^{15} + 32 x^{14} - 80 x^{13} + 156 x^{12} - 280 x^{11} + 448 x^{10} - 544 x^{9} + 524 x^{8} - 592 x^{7} + 800 x^{6} - 736 x^{5} + 448 x^{4} - 160 x^{3} + 16$ |
$16$ |
[0,8] |
$2^{36}\cdot 3^{8}\cdot 7^{8}$ |
$3$ |
$21.7985264859$ |
$21.798526485920096$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
$[8]$ |
$4$ |
$7$ |
$12975.7658516$ |
| 16.0.259...696.6 |
$x^{16} - 12 x^{14} - 12 x^{13} + 68 x^{12} + 24 x^{11} - 214 x^{10} + 228 x^{9} + 711 x^{8} - 960 x^{7} - 562 x^{6} + 3708 x^{5} - 1128 x^{4} - 5196 x^{3} + 4880 x^{2} - 816 x + 58$ |
$16$ |
[0,8] |
$2^{36}\cdot 3^{8}\cdot 7^{8}$ |
$3$ |
$21.7985264859$ |
$21.798526485920096$ |
|
|
? |
$Q_8 : C_2^2$ (as 16T23) |
$[2, 2]$ |
$4$ |
$7$ |
$21961.6900705$ |
| 16.8.281...000.1 |
$x^{16} - 4 x^{14} - 26 x^{12} - 88 x^{11} - 40 x^{10} + 132 x^{9} + 177 x^{8} - 32 x^{7} - 148 x^{6} + 20 x^{5} + 116 x^{4} + 32 x^{3} - 16 x^{2} - 4 x + 1$ |
$16$ |
[8,4] |
$2^{40}\cdot 3^{8}\cdot 5^{8}$ |
$3$ |
$21.9089023002$ |
$21.908902300206645$ |
|
|
? |
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$2$ |
$11$ |
$65187.067157$ |
| 16.0.281...000.2 |
$x^{16} + 8 x^{14} + 40 x^{12} + 64 x^{10} + 18 x^{8} + 104 x^{6} + 280 x^{4} - 32 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{40}\cdot 3^{8}\cdot 5^{8}$ |
$3$ |
$21.9089023002$ |
$21.908902300206645$ |
|
|
? |
$Q_8 : C_2^2$ (as 16T23) |
$[4]$ |
$2$ |
$7$ |
$5743.68766444$ |
| 16.8.281...000.3 |
$x^{16} + 4 x^{14} - 30 x^{12} - 64 x^{11} - 16 x^{10} + 384 x^{9} + 154 x^{8} - 768 x^{7} - 128 x^{6} + 552 x^{5} + 100 x^{4} - 160 x^{3} - 48 x^{2} + 16 x + 4$ |
$16$ |
[8,4] |
$2^{40}\cdot 3^{8}\cdot 5^{8}$ |
$3$ |
$21.9089023002$ |
$21.908902300206645$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
trivial |
$2$ |
$11$ |
$85695.3684811$ |
| 16.0.281...000.3 |
$x^{16} - 8 x^{15} + 32 x^{14} - 80 x^{13} + 120 x^{12} - 64 x^{11} - 128 x^{10} + 320 x^{9} - 238 x^{8} - 136 x^{7} + 512 x^{6} - 496 x^{5} + 232 x^{4} + 32 x^{3} + 1$ |
$16$ |
[0,8] |
$2^{40}\cdot 3^{8}\cdot 5^{8}$ |
$3$ |
$21.9089023002$ |
$21.908902300206645$ |
|
|
? |
$Q_8 : C_2^2$ (as 16T23) |
$[4]$ |
$4$ |
$7$ |
$37781.5309275$ |
| 16.0.281...000.4 |
$x^{16} - 4 x^{14} + 8 x^{12} + 36 x^{10} + 398 x^{8} - 876 x^{6} + 968 x^{4} + 44 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{40}\cdot 3^{8}\cdot 5^{8}$ |
$3$ |
$21.9089023002$ |
$21.908902300206645$ |
|
|
|
$Q_8 : C_2^2$ (as 16T23) |
$[4]$ |
$8$ |
$7$ |
$62960.4974605$ |
