| 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 |
| 16.6.331051355413671875.1 |
$x^{16} - x^{15} - 3 x^{14} + 10 x^{13} - 16 x^{12} + 10 x^{11} + 10 x^{10} - 34 x^{9} + 45 x^{8} - 34 x^{7} + 10 x^{6} + 10 x^{5} - 16 x^{4} + 10 x^{3} - 3 x^{2} - x + 1$ |
$16$ |
[6,5] |
$-\,5^{8}\cdot 59\cdot 119851^{2}$ |
$3$ |
$12.4449587274$ |
$5946.094937015386$ |
|
|
? |
$C_2^6.S_4^2:D_4$ (as 16T1905) |
trivial |
$2$ |
$10$ |
$263.540101581$ |
| 16.6.378431998703576723.1 |
$x^{16} - 3 x^{14} - 4 x^{13} + x^{12} + 4 x^{11} + 6 x^{9} + 7 x^{8} - 5 x^{7} - 14 x^{6} - x^{5} + 12 x^{4} - 6 x^{2} + 1$ |
$16$ |
[6,5] |
$-\,79\cdot 4501009\cdot 1064267693$ |
$3$ |
$12.5494369431$ |
$615168268.6091479$ |
|
|
? |
$S_{16}$ (as 16T1954) |
trivial |
$2$ |
$10$ |
$285.090828253$ |
| 16.6.453554270824333667.1 |
$x^{16} - 2 x^{14} - 3 x^{13} - 2 x^{12} + 13 x^{11} + 9 x^{10} - x^{9} - 14 x^{8} - 40 x^{7} - 13 x^{6} + 3 x^{5} + 2 x^{4} + 5 x^{3} - 5 x^{2} - x + 1$ |
$16$ |
[6,5] |
$-\,89^{2}\cdot 107\cdot 731531^{2}$ |
$3$ |
$12.6922707778$ |
$83464.78127330114$ |
|
|
? |
$C_2^8.S_8$ (as 16T1948) |
trivial |
$2$ |
$10$ |
$315.84341112$ |
| 16.6.505241847543359375.1 |
$x^{16} - x^{15} - 3 x^{14} + 10 x^{13} - 13 x^{12} + 6 x^{11} + 12 x^{10} - 33 x^{9} + 41 x^{8} - 33 x^{7} + 12 x^{6} + 6 x^{5} - 13 x^{4} + 10 x^{3} - 3 x^{2} - x + 1$ |
$16$ |
[6,5] |
$-\,5^{8}\cdot 71^{3}\cdot 1901^{2}$ |
$3$ |
$12.7781713387$ |
$2384.6235143470617$ |
|
|
? |
$C_2^6.S_4^2:D_4$ (as 16T1905) |
trivial |
$2$ |
$10$ |
$335.766972694$ |
| 16.6.555286069887735611.1 |
$x^{16} - 3 x^{14} - 4 x^{13} + 8 x^{12} + 6 x^{11} - 9 x^{10} - 5 x^{9} + 12 x^{8} - 13 x^{7} - 6 x^{6} + 30 x^{5} - 10 x^{4} - 15 x^{3} + 9 x^{2} + x - 1$ |
$16$ |
[6,5] |
$-\,89^{2}\cdot 131\cdot 731531^{2}$ |
$3$ |
$12.8538225083$ |
$92352.15172912864$ |
|
|
? |
$C_2^8.S_8$ (as 16T1948) |
trivial |
$2$ |
$10$ |
$355.44834445$ |
| 16.6.561298201600000000.1 |
$x^{16} - 8 x^{15} + 28 x^{14} - 56 x^{13} + 61 x^{12} - 2 x^{11} - 107 x^{10} + 172 x^{9} - 129 x^{8} + 34 x^{7} + 21 x^{6} - 20 x^{5} + 8 x^{4} - 6 x^{3} + 3 x^{2} - 1$ |
$16$ |
[6,5] |
$-\,2^{16}\cdot 5^{8}\cdot 29^{4}\cdot 31$ |
$4$ |
$12.8624767625$ |
|
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$10$ |
$359.922310966$ |
| 16.6.716416589069289243.1 |
$x^{16} - 5 x^{15} + 11 x^{14} - 16 x^{13} + 15 x^{12} - 2 x^{11} - 19 x^{10} + 40 x^{9} - 49 x^{8} + 40 x^{7} - 19 x^{6} - 2 x^{5} + 15 x^{4} - 16 x^{3} + 11 x^{2} - 5 x + 1$ |
$16$ |
[6,5] |
$-\,3^{6}\cdot 19^{4}\cdot 67\cdot 103^{4}$ |
$4$ |
$13.0601405912$ |
$627.181791827537$ |
|
|
✓ |
$C_4^4.C_2\wr S_4$ (as 16T1879) |
trivial |
$2$ |
$10$ |
$407.995450147$ |
| 16.6.779934549194921875.1 |
$x^{16} - 5 x^{15} + 11 x^{14} - 15 x^{13} + 11 x^{12} + 5 x^{11} - 28 x^{10} + 50 x^{9} - 59 x^{8} + 50 x^{7} - 28 x^{6} + 5 x^{5} + 11 x^{4} - 15 x^{3} + 11 x^{2} - 5 x + 1$ |
$16$ |
[6,5] |
$-\,5^{8}\cdot 139\cdot 119851^{2}$ |
$3$ |
$13.129664686$ |
$9126.688610881823$ |
|
|
✓ |
$C_2^6.S_4^2:D_4$ (as 16T1905) |
trivial |
$2$ |
$10$ |
$428.33284618$ |
| 16.6.832833149900000000.1 |
$x^{16} - 2 x^{15} - 2 x^{14} - x^{13} + 6 x^{12} + 9 x^{11} - 5 x^{10} - 16 x^{9} - 15 x^{8} + 19 x^{7} + 15 x^{6} + 4 x^{5} - 16 x^{4} - x^{3} + x^{2} + 3 x - 1$ |
$16$ |
[6,5] |
$-\,2^{8}\cdot 5^{8}\cdot 59\cdot 109^{4}$ |
$4$ |
$13.1836260297$ |
$783.8362341744122$ |
|
|
? |
$C_2^8.\PGOPlus(4,3)$ (as 16T1887) |
trivial |
$2$ |
$10$ |
$454.998162465$ |
| 16.6.847267028262109375.1 |
$x^{16} - 7 x^{15} + 19 x^{14} - 27 x^{13} + 19 x^{12} + 6 x^{11} - 38 x^{10} + 66 x^{9} - 77 x^{8} + 66 x^{7} - 38 x^{6} + 6 x^{5} + 19 x^{4} - 27 x^{3} + 19 x^{2} - 7 x + 1$ |
$16$ |
[6,5] |
$-\,5^{8}\cdot 151\cdot 119851^{2}$ |
$3$ |
$13.1977916845$ |
$9512.492049930976$ |
|
|
? |
$C_2^6.S_4^2:D_4$ (as 16T1905) |
trivial |
$2$ |
$10$ |
$448.860326258$ |
| 16.6.998084115966796875.1 |
$x^{16} - x^{15} - 7 x^{14} + 5 x^{13} + 20 x^{12} - 8 x^{11} - 25 x^{10} + 9 x^{9} + 6 x^{8} - 25 x^{7} + 31 x^{5} + 13 x^{4} - 11 x^{3} - 8 x^{2} + 1$ |
$16$ |
[6,5] |
$-\,3^{8}\cdot 5^{12}\cdot 59^{2}\cdot 179$ |
$4$ |
$13.3336160906$ |
$595.1694789348905$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$10$ |
$497.019737876$ |
| 16.6.998084115966796875.2 |
$x^{16} - x^{15} - 4 x^{14} + 2 x^{13} + 7 x^{12} + 10 x^{11} - 22 x^{10} - 13 x^{9} + 27 x^{8} - 3 x^{7} - 5 x^{6} - 5 x^{4} + 9 x^{3} + x^{2} - 4 x + 1$ |
$16$ |
[6,5] |
$-\,3^{8}\cdot 5^{12}\cdot 59^{2}\cdot 179$ |
$4$ |
$13.3336160906$ |
$595.1694789348905$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$10$ |
$497.644737113$ |
| 16.6.107...375.1 |
$x^{16} - 2 x^{15} - x^{14} + 4 x^{12} - 2 x^{10} + 4 x^{9} + 4 x^{8} - 3 x^{7} - 18 x^{6} + 19 x^{4} - 9 x^{2} + x + 1$ |
$16$ |
[6,5] |
$-\,5^{8}\cdot 191\cdot 119851^{2}$ |
$3$ |
$13.3930594117$ |
$10698.490781413984$ |
|
|
? |
$C_2^6.S_4^2:D_4$ (as 16T1905) |
trivial |
$2$ |
$10$ |
$509.500503315$ |
| 16.6.118...875.1 |
$x^{16} - 3 x^{15} - 3 x^{14} + 15 x^{13} - 29 x^{11} + 15 x^{10} + 8 x^{9} - 9 x^{8} + 25 x^{7} - 15 x^{6} - 18 x^{5} + 13 x^{4} - 3 x^{3} - 2 x^{2} + 5 x + 1$ |
$16$ |
[6,5] |
$-\,5^{12}\cdot 19^{3}\cdot 29^{4}$ |
$3$ |
$13.477002313$ |
$163.86707546041302$ |
|
|
? |
$C_4^2\wr C_2.D_4$ (as 16T1561) |
trivial |
$2$ |
$10$ |
$553.014240889$ |
| 16.6.135...983.1 |
$x^{16} - x^{15} - 3 x^{14} - 5 x^{13} + 10 x^{12} + 12 x^{11} - 11 x^{10} - 2 x^{9} - x^{8} + 3 x^{7} - 20 x^{6} + 14 x^{5} + 5 x^{4} - 6 x^{3} + 5 x^{2} + x - 1$ |
$16$ |
[6,5] |
$-\,3^{6}\cdot 19^{4}\cdot 103^{4}\cdot 127$ |
$4$ |
$13.5927055605$ |
$863.4911696132161$ |
|
|
? |
$C_4^4.C_2\wr S_4$ (as 16T1879) |
trivial |
$2$ |
$10$ |
$584.154862598$ |
| 16.6.148...131.1 |
$x^{16} - x^{15} + x^{14} - x^{13} + 2 x^{12} + 2 x^{11} - 11 x^{10} - 15 x^{9} - 6 x^{8} + 14 x^{7} + 31 x^{6} + 24 x^{5} - 17 x^{3} - 17 x^{2} - 7 x - 1$ |
$16$ |
[6,5] |
$-\,3^{6}\cdot 19^{4}\cdot 103^{4}\cdot 139$ |
$4$ |
$13.6696250396$ |
$903.3653745854996$ |
|
|
? |
$C_4^4.C_2\wr S_4$ (as 16T1879) |
trivial |
$2$ |
$10$ |
$618.152488653$ |
| 16.6.187...539.1 |
$x^{16} - 7 x^{15} + 18 x^{14} - 12 x^{13} - 39 x^{12} + 98 x^{11} - 63 x^{10} - 73 x^{9} + 143 x^{8} - 54 x^{7} - 36 x^{6} + 30 x^{5} - 13 x^{4} + 8 x^{3} + 7 x^{2} - 8 x + 1$ |
$16$ |
[6,5] |
$-\,19^{5}\cdot 607^{2}\cdot 1433^{2}$ |
$3$ |
$13.8688311415$ |
$4065.3153629208155$ |
|
|
? |
$C_2^8.S_8$ (as 16T1948) |
trivial |
$2$ |
$10$ |
$697.584012936$ |
| 16.6.216...583.1 |
$x^{16} - 2 x^{15} - 2 x^{14} + 2 x^{13} + 9 x^{12} + 9 x^{11} - 21 x^{10} - 33 x^{9} + 9 x^{8} + 39 x^{7} + 15 x^{6} - 12 x^{5} - 10 x^{4} - 6 x^{3} - x^{2} + 3 x + 1$ |
$16$ |
[6,5] |
$-\,103\cdot 12037^{4}$ |
$2$ |
$13.993678492$ |
$1113.46800582684$ |
|
|
? |
$C_2^7.C_{3276}$ (as 16T1944) |
trivial |
$2$ |
$10$ |
$805.790964143$ |
| 16.6.225...119.1 |
$x^{16} - 3 x^{15} + 4 x^{14} - 7 x^{13} + 12 x^{12} - 21 x^{11} + 28 x^{10} - 30 x^{9} + 34 x^{8} - 38 x^{7} + 51 x^{6} - 51 x^{5} + 27 x^{4} + 3 x^{3} - 17 x^{2} + 9 x - 1$ |
$16$ |
[6,5] |
$-\,167\cdot 13504915578902857$ |
$2$ |
$14.0305766778$ |
$1501772586.5379143$ |
|
|
? |
$S_{16}$ (as 16T1954) |
trivial |
$2$ |
$10$ |
$782.698300724$ |
| 16.6.233...871.1 |
$x^{16} - x^{15} - x^{14} + 7 x^{13} - 3 x^{12} - 5 x^{11} - 5 x^{10} - 11 x^{9} + 17 x^{8} - 6 x^{7} - 17 x^{6} + 25 x^{5} + 2 x^{4} - 19 x^{3} + 4 x^{2} + 8 x + 1$ |
$16$ |
[6,5] |
$-\,3\cdot 37\cdot 12037^{4}$ |
$3$ |
$14.0592531638$ |
$1155.9009473133933$ |
|
|
? |
$C_2^7.C_{3276}$ (as 16T1944) |
trivial |
$2$ |
$10$ |
$1065.59813083$ |
| 16.6.269...000.1 |
$x^{16} - 4 x^{14} + 2 x^{12} - 14 x^{11} - 6 x^{10} + 40 x^{9} + 35 x^{8} - 30 x^{7} - 24 x^{6} + 8 x^{5} - 13 x^{4} - 8 x^{3} + 11 x^{2} + 4 x - 1$ |
$16$ |
[6,5] |
$-\,2^{8}\cdot 5^{8}\cdot 109^{4}\cdot 191$ |
$4$ |
$14.1880009846$ |
$1410.3146374690155$ |
|
|
? |
$C_2^8.\PGOPlus(4,3)$ (as 16T1887) |
trivial |
$2$ |
$10$ |
$913.968041418$ |
| 16.6.274...000.1 |
$x^{16} - 8 x^{14} + 21 x^{12} - 11 x^{10} - 30 x^{8} + 41 x^{6} - 21 x^{4} + 7 x^{2} - 1$ |
$16$ |
[6,5] |
$-\,2^{8}\cdot 5^{8}\cdot 11^{4}\cdot 37^{4}$ |
$4$ |
$14.2036055288$ |
$165.46778321069314$ |
|
|
? |
$C_2^7.C_2\wr D_4$ (as 16T1778) |
trivial |
$2$ |
$10$ |
$955.490983288$ |
| 16.6.292...088.1 |
$x^{16} - 4 x^{15} + 2 x^{14} + 12 x^{13} - 9 x^{12} - 12 x^{11} - 8 x^{10} + 16 x^{9} + 5 x^{8} + 16 x^{7} - 8 x^{6} - 12 x^{5} - 9 x^{4} + 12 x^{3} + 2 x^{2} - 4 x + 1$ |
$16$ |
[6,5] |
$-\,2^{32}\cdot 3^{8}\cdot 47^{3}$ |
$3$ |
$14.2606383744$ |
$47.49736834815167$ |
|
|
? |
$D_4^2.C_2^3$ (as 16T905) |
trivial |
$2$ |
$10$ |
$918.732526738$ |
| 16.6.292...088.2 |
$x^{16} - 6 x^{14} + 14 x^{12} - 4 x^{11} - 22 x^{10} + 16 x^{9} + 44 x^{8} - 16 x^{7} - 66 x^{6} - 12 x^{5} + 45 x^{4} + 20 x^{3} - 10 x^{2} - 4 x + 1$ |
$16$ |
[6,5] |
$-\,2^{32}\cdot 3^{8}\cdot 47^{3}$ |
$3$ |
$14.2606383744$ |
$47.49736834815167$ |
|
|
? |
$D_4^2.C_2^3$ (as 16T905) |
trivial |
$2$ |
$10$ |
$918.732526738$ |
| 16.6.297...375.1 |
$x^{16} - 5 x^{15} + 10 x^{14} - 12 x^{13} + 8 x^{12} + 3 x^{11} - 14 x^{10} + 22 x^{9} - 25 x^{8} + 22 x^{7} - 14 x^{6} + 3 x^{5} + 8 x^{4} - 12 x^{3} + 10 x^{2} - 5 x + 1$ |
$16$ |
[6,5] |
$-\,5^{8}\cdot 19^{2}\cdot 29^{4}\cdot 31^{3}$ |
$4$ |
$14.2744380244$ |
$689.5758953208109$ |
|
|
✓ |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$10$ |
$889.039528602$ |
| 16.6.297...000.1 |
$x^{16} - 5 x^{15} + 10 x^{14} - 5 x^{13} - 12 x^{12} + 2 x^{11} + 64 x^{10} - 100 x^{9} - 23 x^{8} + 218 x^{7} - 218 x^{6} + 24 x^{5} + 88 x^{4} - 49 x^{3} + 2 x^{2} + 5 x - 1$ |
$16$ |
[6,5] |
$-\,2^{8}\cdot 5^{10}\cdot 29^{4}\cdot 41^{2}$ |
$4$ |
$14.2747572677$ |
$422.9116729379657$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$10$ |
$954.87927121$ |
| 16.6.297...000.2 |
$x^{16} - 7 x^{14} + 10 x^{12} + 41 x^{10} - 181 x^{8} + 305 x^{6} - 270 x^{4} + 125 x^{2} - 25$ |
$16$ |
[6,5] |
$-\,2^{8}\cdot 5^{10}\cdot 29^{4}\cdot 41^{2}$ |
$4$ |
$14.2747572677$ |
$422.9116729379657$ |
|
|
? |
$C_4^4.C_2\wr D_4$ (as 16T1823) |
trivial |
$2$ |
$10$ |
$926.665869377$ |
| 16.6.302...875.1 |
$x^{16} - x^{15} - 3 x^{14} + x^{13} + x^{12} + 5 x^{11} - 12 x^{10} + 10 x^{9} - 3 x^{8} + 10 x^{7} - 12 x^{6} + 5 x^{5} + x^{4} + x^{3} - 3 x^{2} - x + 1$ |
$16$ |
[6,5] |
$-\,3^{8}\cdot 5^{12}\cdot 59\cdot 179^{2}$ |
$4$ |
$14.2913419325$ |
$595.1694789348905$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$10$ |
$1019.07164934$ |
| 16.6.302...875.2 |
$x^{16} - 2 x^{15} - 6 x^{14} + x^{13} + 11 x^{12} + 24 x^{11} + 20 x^{10} + 5 x^{9} + 2 x^{8} - 15 x^{7} - 20 x^{6} - 17 x^{5} - 4 x^{4} + 13 x^{3} + 11 x^{2} + 6 x + 1$ |
$16$ |
[6,5] |
$-\,3^{8}\cdot 5^{12}\cdot 59\cdot 179^{2}$ |
$4$ |
$14.2913419325$ |
$595.1694789348905$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$10$ |
$1017.79178249$ |
| 16.6.361...000.1 |
$x^{16} - 11 x^{14} + 46 x^{12} - 98 x^{10} + 123 x^{8} - 90 x^{6} + 32 x^{4} - x^{2} - 1$ |
$16$ |
[6,5] |
$-\,2^{16}\cdot 5^{8}\cdot 109^{4}$ |
$3$ |
$14.4501256112$ |
|
|
|
? |
$C_2^7.\PGOPlus(4,3)$ (as 16T1870) |
trivial |
$2$ |
$10$ |
$1050.89731647$ |
| 16.6.362...000.1 |
$x^{16} - x^{15} - 4 x^{14} - x^{13} + 11 x^{12} + 3 x^{11} - 21 x^{10} - 5 x^{9} + 44 x^{8} + 39 x^{7} - 45 x^{6} - 18 x^{5} + 60 x^{4} + 20 x^{3} - 15 x^{2} - 8 x - 1$ |
$16$ |
[6,5] |
$-\,2^{8}\cdot 5^{8}\cdot 11^{4}\cdot 19^{5}$ |
$4$ |
$14.4530222608$ |
$227.01211655949257$ |
|
|
? |
$C_2^5.C_2\wr D_4$ (as 16T1581) |
trivial |
$2$ |
$10$ |
$1073.66608971$ |
| 16.6.374...632.1 |
$x^{16} - 6 x^{15} + 15 x^{14} - 22 x^{13} + 20 x^{12} - 4 x^{11} - 21 x^{10} + 44 x^{9} - 53 x^{8} + 44 x^{7} - 21 x^{6} - 4 x^{5} + 20 x^{4} - 22 x^{3} + 15 x^{2} - 6 x + 1$ |
$16$ |
[6,5] |
$-\,2^{24}\cdot 41^{6}\cdot 47$ |
$3$ |
$14.482550645$ |
$314.1823725867904$ |
|
|
✓ |
$C_2\wr D_4.C_4$ (as 16T1722) |
trivial |
$2$ |
$10$ |
$1059.18907125$ |
| 16.6.405...000.1 |
$x^{16} - 4 x^{15} + 4 x^{14} + 8 x^{13} - 36 x^{12} + 68 x^{11} - 52 x^{10} - 64 x^{9} + 230 x^{8} - 312 x^{7} + 244 x^{6} - 80 x^{5} - 76 x^{4} + 136 x^{3} - 96 x^{2} + 32 x - 4$ |
$16$ |
[6,5] |
$-\,2^{36}\cdot 5^{8}\cdot 151$ |
$3$ |
$14.5542071391$ |
|
|
|
? |
$C_2^6.D_4^2$ (as 16T1590) |
trivial |
$2$ |
$10$ |
$1316.59109522$ |
| 16.6.477...000.1 |
$x^{16} - x^{15} - 5 x^{14} + 7 x^{13} + 3 x^{12} - 10 x^{11} + 14 x^{10} - 29 x^{9} + 19 x^{8} + 42 x^{7} - 84 x^{6} + 71 x^{5} - 44 x^{4} + 24 x^{3} - 4 x^{2} - 4 x + 1$ |
$16$ |
[6,5] |
$-\,2^{8}\cdot 5^{10}\cdot 11^{4}\cdot 19^{4}$ |
$4$ |
$14.703063134$ |
$177.3094522528403$ |
|
|
? |
$C_2^2.C_2^2\wr D_4$ (as 16T1719) |
trivial |
$2$ |
$10$ |
$1192.82584001$ |
| 16.6.481...875.1 |
$x^{16} - 2 x^{15} - 5 x^{14} + 11 x^{13} - 21 x^{11} + 21 x^{10} + 9 x^{9} - 29 x^{8} + 9 x^{7} + 21 x^{6} - 21 x^{5} + 11 x^{3} - 5 x^{2} - 2 x + 1$ |
$16$ |
[6,5] |
$-\,5^{8}\cdot 11\cdot 439^{2}\cdot 2411^{2}$ |
$4$ |
$14.7114256528$ |
$7629.783417633819$ |
|
|
? |
$C_2^6.S_4^2:D_4$ (as 16T1905) |
trivial |
$2$ |
$10$ |
$1248.99368527$ |
| 16.6.485...375.1 |
$x^{16} - 5 x^{15} + 7 x^{14} - 3 x^{13} + 7 x^{12} - 2 x^{11} - 31 x^{10} + 46 x^{9} - 40 x^{8} + 34 x^{7} - 13 x^{6} + x^{5} + 12 x^{4} - 32 x^{3} + 27 x^{2} - 9 x + 1$ |
$16$ |
[6,5] |
$-\,5^{12}\cdot 101^{4}\cdot 191$ |
$3$ |
$14.7188009501$ |
$464.41354068302337$ |
|
|
? |
$C_2^8.C_2\wr C_4$ (as 16T1776) |
trivial |
$2$ |
$10$ |
$1196.31498147$ |
| 16.6.512...000.1 |
$x^{16} - 8 x^{14} - 8 x^{13} + 8 x^{12} + 48 x^{11} + 62 x^{10} - 24 x^{9} - 141 x^{8} - 152 x^{7} - 26 x^{6} + 108 x^{5} + 146 x^{4} + 100 x^{3} + 42 x^{2} + 12 x + 1$ |
$16$ |
[6,5] |
$-\,2^{36}\cdot 5^{8}\cdot 191$ |
$3$ |
$14.7695436907$ |
|
|
|
? |
$C_2^6.D_4^2$ (as 16T1590) |
trivial |
$2$ |
$10$ |
$1497.46378622$ |
| 16.6.542...672.1 |
$x^{16} - 4 x^{15} + 20 x^{13} - 28 x^{12} + 20 x^{10} - 16 x^{9} + 54 x^{8} - 128 x^{7} + 136 x^{6} - 56 x^{5} - 36 x^{4} + 72 x^{3} - 48 x^{2} + 16 x - 2$ |
$16$ |
[6,5] |
$-\,2^{44}\cdot 3^{8}\cdot 47$ |
$3$ |
$14.8217413947$ |
|
|
|
? |
$C_2\wr D_4.C_2$ (as 16T1577) |
trivial |
$2$ |
$10$ |
$2252.38813768$ |
| 16.6.556...279.1 |
$x^{16} - 6 x^{15} + 16 x^{14} - 17 x^{13} - 30 x^{12} + 148 x^{11} - 291 x^{10} + 338 x^{9} - 221 x^{8} + 33 x^{7} + 108 x^{6} - 139 x^{5} + 102 x^{4} - 59 x^{3} + 20 x^{2} - 5 x + 1$ |
$16$ |
[6,5] |
$-\,37^{3}\cdot 643^{5}$ |
$2$ |
$14.8458050176$ |
$380.41425230704084$ |
|
|
? |
$C_4^4:\GL(2,3)$ (as 16T1760) |
trivial |
$2$ |
$10$ |
$1262.86987485$ |
| 16.6.566...000.1 |
$x^{16} - 2 x^{15} - 4 x^{14} + 6 x^{13} + 6 x^{12} + 20 x^{11} - 70 x^{10} + 50 x^{9} - 13 x^{8} - 16 x^{7} + 90 x^{6} - 114 x^{5} + 90 x^{4} - 70 x^{3} + 14 x^{2} + 12 x + 1$ |
$16$ |
[6,5] |
$-\,2^{24}\cdot 5^{8}\cdot 11^{4}\cdot 59$ |
$4$ |
$14.8612868754$ |
|
|
|
? |
$C_2^2.C_2^2\wr D_4$ (as 16T1719) |
trivial |
$2$ |
$10$ |
$1335.78183656$ |
| 16.6.566...000.2 |
$x^{16} - 4 x^{15} + 14 x^{13} - 11 x^{12} - 4 x^{11} + 20 x^{10} - 22 x^{9} - 26 x^{8} + 20 x^{7} - 14 x^{6} - 18 x^{5} + 16 x^{4} + 6 x^{3} - 4 x + 1$ |
$16$ |
[6,5] |
$-\,2^{24}\cdot 5^{8}\cdot 11^{4}\cdot 59$ |
$4$ |
$14.861286875414743$ |
|
|
|
? |
$C_2^2.C_2^2\wr D_4$ (as 16T1719) |
trivial |
$2$ |
$10$ |
$1347.9267462670168$ |
| 16.6.580...000.1 |
$x^{16} - 2 x^{15} - x^{14} - 2 x^{13} + 6 x^{12} + 4 x^{11} + 5 x^{10} - 8 x^{9} - 7 x^{8} - 8 x^{7} + 5 x^{6} + 4 x^{5} + 6 x^{4} - 2 x^{3} - x^{2} - 2 x + 1$ |
$16$ |
[6,5] |
$-\,2^{24}\cdot 5^{8}\cdot 13^{4}\cdot 31$ |
$4$ |
$14.8842151679$ |
$126.96456198483102$ |
|
|
✓ |
$C_2\wr D_4.C_2$ (as 16T1577) |
trivial |
$2$ |
$10$ |
$1369.24270072$ |
| 16.6.592...875.1 |
$x^{16} - 3 x^{15} + 5 x^{13} - 2 x^{11} - 6 x^{10} + 3 x^{9} + 5 x^{8} + 3 x^{7} - 6 x^{6} - 2 x^{5} + 5 x^{3} - 3 x + 1$ |
$16$ |
[6,5] |
$-\,5^{8}\cdot 11^{3}\cdot 106759^{2}$ |
$3$ |
$14.903788978$ |
$4412.97802279202$ |
|
|
✓ |
$C_2^6.S_4^2:D_4$ (as 16T1905) |
trivial |
$2$ |
$10$ |
$1403.88770335$ |
| 16.6.614...696.1 |
$x^{16} - 4 x^{14} + 14 x^{10} - 41 x^{8} + 54 x^{6} - 34 x^{4} + 10 x^{2} - 1$ |
$16$ |
[6,5] |
$-\,2^{28}\cdot 389^{4}$ |
$2$ |
$14.9379118653$ |
|
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1848) |
trivial |
$2$ |
$10$ |
$1652.93859546$ |
| 16.6.614...696.2 |
$x^{16} - 4 x^{14} + 12 x^{12} - 22 x^{10} + 23 x^{8} - 14 x^{6} - 2 x^{4} + 6 x^{2} - 1$ |
$16$ |
[6,5] |
$-\,2^{28}\cdot 389^{4}$ |
$2$ |
$14.9379118653$ |
|
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1848) |
trivial |
$2$ |
$10$ |
$1667.35236644$ |
| 16.6.622...000.1 |
$x^{16} - 3 x^{15} + 4 x^{14} - 8 x^{13} - 2 x^{12} + 38 x^{11} - 58 x^{10} + 51 x^{9} - 17 x^{8} - 33 x^{7} + 62 x^{6} - 80 x^{5} + 66 x^{4} - 30 x^{3} + 10 x^{2} - x - 1$ |
$16$ |
[6,5] |
$-\,2^{4}\cdot 5^{8}\cdot 251^{5}$ |
$3$ |
$14.9499775003$ |
$282.01375352831536$ |
|
|
? |
$C_2^7.(C_2\times S_4)$ (as 16T1675) |
trivial |
$2$ |
$10$ |
$1666.44492887$ |
| 16.6.634...224.1 |
$x^{16} - 8 x^{15} + 30 x^{14} - 66 x^{13} + 81 x^{12} - 34 x^{11} - 46 x^{10} + 80 x^{9} - 46 x^{8} + 24 x^{7} - 8 x^{6} - 42 x^{5} + 20 x^{4} + 4 x^{3} - 8 x^{2} + 1$ |
$16$ |
[6,5] |
$-\,2^{24}\cdot 59\cdot 283^{4}$ |
$3$ |
$14.9682095014$ |
|
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1848) |
trivial |
$2$ |
$10$ |
$1422.13821358$ |
| 16.6.634...224.2 |
$x^{16} - 6 x^{15} + 10 x^{14} + 12 x^{13} - 57 x^{12} + 56 x^{11} - 46 x^{10} + 134 x^{9} - 161 x^{8} + 70 x^{7} - 54 x^{6} + 76 x^{5} - 31 x^{4} - 18 x^{3} + 22 x^{2} - 10 x + 1$ |
$16$ |
[6,5] |
$-\,2^{24}\cdot 59\cdot 283^{4}$ |
$3$ |
$14.9682095014$ |
|
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1848) |
trivial |
$2$ |
$10$ |
$1446.88901323$ |
| 16.6.635...000.1 |
$x^{16} - x^{14} + 3 x^{12} - 13 x^{8} - 13 x^{6} + 4 x^{4} + 4 x^{2} - 1$ |
$16$ |
[6,5] |
$-\,2^{12}\cdot 5^{8}\cdot 251^{4}$ |
$3$ |
$14.968418922$ |
$138.66749394298347$ |
|
|
? |
$C_{2440}.D_6$ (as 16T1759) |
trivial |
$2$ |
$10$ |
$1411.38797393$ |
| 16.6.635...000.2 |
$x^{16} - 7 x^{14} + 25 x^{12} - 47 x^{10} + 43 x^{8} + 3 x^{6} - 27 x^{4} + 11 x^{2} - 1$ |
$16$ |
[6,5] |
$-\,2^{12}\cdot 5^{8}\cdot 251^{4}$ |
$3$ |
$14.968418922$ |
$138.66749394298347$ |
|
|
? |
$C_{2440}.D_6$ (as 16T1759) |
trivial |
$2$ |
$10$ |
$1391.46972153$ |
