| 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 |
| 16.0.3207314697265625.1 |
$x^{16} - 2 x^{15} - x^{14} + x^{13} + 11 x^{12} - 11 x^{11} - 10 x^{10} + 5 x^{9} + 22 x^{8} - 10 x^{7} - 15 x^{6} + 3 x^{5} + 11 x^{4} - 2 x^{3} - 4 x^{2} + x + 1$ |
$16$ |
[0,8] |
$5^{12}\cdot 181^{2}\cdot 401$ |
$3$ |
$9.31394884654$ |
$900.8219853969824$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$10$ |
$7$ |
$37.3668375913$ |
| 16.0.7105708251953125.1 |
$x^{16} - 2 x^{15} + 4 x^{14} - 5 x^{13} + 3 x^{12} + 5 x^{11} - 14 x^{10} + 17 x^{9} - 12 x^{8} - 3 x^{7} + 31 x^{6} - 60 x^{5} + 68 x^{4} - 50 x^{3} + 24 x^{2} - 7 x + 1$ |
$16$ |
[0,8] |
$5^{12}\cdot 181\cdot 401^{2}$ |
$3$ |
$9.78870996517$ |
$900.8219853969824$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$10$ |
$7$ |
$60.6835925321$ |
| 16.2.401647199580061696.1 |
$x^{16} - 4 x^{14} - 4 x^{13} + 12 x^{12} + 8 x^{11} - 14 x^{10} - 12 x^{9} + 6 x^{8} + 12 x^{7} + 4 x^{6} - 4 x^{5} - 7 x^{4} - 4 x^{3} + 2 x^{2} + 4 x + 1$ |
$16$ |
[2,7] |
$-\,2^{44}\cdot 17^{2}\cdot 79$ |
$3$ |
$12.5962217178$ |
|
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$8$ |
$159.18386616$ |
| 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 |
$2$ |
$10$ |
$497.644737113$ |
| 16.4.186...352.1 |
$x^{16} - 4 x^{15} + 6 x^{14} - 4 x^{13} + 3 x^{12} - 4 x^{11} - 4 x^{10} + 8 x^{9} - 3 x^{8} + 8 x^{7} - 4 x^{6} - 4 x^{5} + 3 x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1$ |
$16$ |
[4,6] |
$2^{44}\cdot 17\cdot 79^{2}$ |
$3$ |
$13.8656084516$ |
|
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$9$ |
$515.913725212$ |
| 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 |
$2$ |
$10$ |
$1017.79178249$ |
| 16.2.432...656.1 |
$x^{16} + 4 x^{14} + 6 x^{12} - 4 x^{10} - 11 x^{8} + 12 x^{4} - 4$ |
$16$ |
[2,7] |
$-\,2^{52}\cdot 31^{2}$ |
$2$ |
$14.6139527093$ |
|
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$8$ |
$1285.04547775$ |
| 16.4.569...125.1 |
$x^{16} - x^{15} - 2 x^{14} + 5 x^{13} - 5 x^{12} - 3 x^{11} + 20 x^{10} - 16 x^{9} - 29 x^{8} + 45 x^{7} - 20 x^{6} + 11 x^{5} - 7 x^{4} + 4 x^{3} - 3 x^{2} + 1$ |
$16$ |
[4,6] |
$3^{8}\cdot 5^{12}\cdot 59^{2}\cdot 1021$ |
$4$ |
$14.866500197$ |
$1421.4350085210183$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$9$ |
$914.143522406$ |
| 16.8.569...125.1 |
$x^{16} - 4 x^{15} + 4 x^{14} - x^{13} - 3 x^{12} + 30 x^{11} - 40 x^{10} - 25 x^{9} + 63 x^{8} - 32 x^{7} + 4 x^{6} + 34 x^{5} - 46 x^{4} + 6 x^{3} + 17 x^{2} - 8 x + 1$ |
$16$ |
[8,4] |
$3^{8}\cdot 5^{12}\cdot 59^{2}\cdot 1021$ |
$4$ |
$14.866500197$ |
$1421.4350085210183$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$11$ |
$1829.05182822$ |
| 16.4.608...125.1 |
$x^{16} - 2 x^{15} - 4 x^{14} + 8 x^{13} + 4 x^{12} + 7 x^{11} - 48 x^{10} + 34 x^{9} + 28 x^{8} + 7 x^{7} - 82 x^{6} + 29 x^{5} + 64 x^{4} - 71 x^{3} + 34 x^{2} - 9 x + 1$ |
$16$ |
[4,6] |
$3^{8}\cdot 5^{12}\cdot 61^{2}\cdot 1021$ |
$4$ |
$14.9285789372$ |
$1445.3263457088042$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$9$ |
$1288.55857126$ |
| 16.4.608...125.2 |
$x^{16} - 3 x^{15} + 11 x^{14} - 21 x^{13} + 40 x^{12} - 48 x^{11} + 45 x^{10} + 5 x^{9} - 79 x^{8} + 170 x^{7} - 205 x^{6} + 183 x^{5} - 105 x^{4} + 36 x^{3} + x^{2} - 7 x + 1$ |
$16$ |
[4,6] |
$3^{8}\cdot 5^{12}\cdot 61^{2}\cdot 1021$ |
$4$ |
$14.9285789372$ |
$1445.3263457088042$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$9$ |
$1228.98630396$ |
| 16.4.608...125.3 |
$x^{16} - 2 x^{15} - x^{14} - 4 x^{13} + 9 x^{12} + 2 x^{11} + 11 x^{10} - 12 x^{9} + 13 x^{8} - 19 x^{7} + 19 x^{6} - 29 x^{5} + 24 x^{4} - 23 x^{3} + 11 x^{2} - 6 x + 1$ |
$16$ |
[4,6] |
$3^{8}\cdot 5^{12}\cdot 61^{2}\cdot 1021$ |
$4$ |
$14.928578937152599$ |
$1445.3263457088042$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$9$ |
$1273.0657283596315$ |
| 16.2.173...624.1 |
$x^{16} - 4 x^{14} + 6 x^{12} + 4 x^{10} - 11 x^{8} + 12 x^{4} - 4$ |
$16$ |
[2,7] |
$-\,2^{54}\cdot 31^{2}$ |
$2$ |
$15.9366284343$ |
|
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$8$ |
$3878.45776604$ |
| 16.6.244...088.1 |
$x^{16} - 4 x^{15} + 2 x^{14} + 16 x^{13} - 41 x^{12} + 24 x^{11} + 54 x^{10} - 100 x^{9} + 40 x^{8} + 28 x^{7} + 6 x^{6} - 32 x^{5} + x^{4} + 8 x^{3} - 2 x^{2} - 4 x - 1$ |
$16$ |
[6,5] |
$-\,2^{44}\cdot 79^{2}\cdot 223$ |
$3$ |
$16.2856436788$ |
$892.8910406687135$ |
|
|
|
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$10$ |
$4433.37269015$ |
| 16.6.357...256.1 |
$x^{16} - 4 x^{14} - 14 x^{12} - 32 x^{11} - 24 x^{10} - 48 x^{9} - 47 x^{8} - 48 x^{7} - 24 x^{6} - 32 x^{5} - 14 x^{4} - 4 x^{2} + 1$ |
$16$ |
[6,5] |
$-\,2^{60}\cdot 31$ |
$2$ |
$16.6752590578$ |
|
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$10$ |
$4693.67331881$ |
| 16.2.431...000.1 |
$x^{16} + 10 x^{14} + 40 x^{12} + 80 x^{10} + 75 x^{8} + 10 x^{6} - 35 x^{4} - 25 x^{2} - 5$ |
$16$ |
[2,7] |
$-\,2^{8}\cdot 3^{8}\cdot 5^{15}\cdot 29^{2}$ |
$4$ |
$16.8717353326$ |
$154.6946332724261$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$8$ |
$2260.21175134$ |
| 16.0.524...125.1 |
$x^{16} - 2 x^{15} + 3 x^{14} - 3 x^{13} + 2 x^{12} + 2 x^{11} - 16 x^{10} + 29 x^{9} - 18 x^{8} - 22 x^{7} + 71 x^{6} - 94 x^{5} + 82 x^{4} - 51 x^{3} + 22 x^{2} - 6 x + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{12}\cdot 179^{2}\cdot 1021$ |
$4$ |
$17.0788596007$ |
$2475.868173489506$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
$[2]$ |
$2$ |
$7$ |
$1085.36498595$ |
| 16.4.524...125.1 |
$x^{16} - 2 x^{15} + 4 x^{14} - 6 x^{12} + 16 x^{11} - 12 x^{10} + 6 x^{9} + 6 x^{8} + 2 x^{7} + 4 x^{6} - 25 x^{5} + 36 x^{4} - 35 x^{3} + 5 x - 5$ |
$16$ |
[4,6] |
$3^{8}\cdot 5^{12}\cdot 179^{2}\cdot 1021$ |
$4$ |
$17.0788596007$ |
$2475.868173489506$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$9$ |
$4234.28662369$ |
| 16.8.524...125.1 |
$x^{16} - 3 x^{15} - x^{14} + 14 x^{13} - 24 x^{12} + 21 x^{11} - 20 x^{10} + 35 x^{9} - 28 x^{8} - 20 x^{7} + 60 x^{6} - 33 x^{5} - 14 x^{4} + 17 x^{3} - 4 x^{2} - x + 1$ |
$16$ |
[8,4] |
$3^{8}\cdot 5^{12}\cdot 179^{2}\cdot 1021$ |
$4$ |
$17.0788596007$ |
$2475.868173489506$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$11$ |
$6838.24745434$ |
| 16.4.524...125.2 |
$x^{16} - 5 x^{15} + 9 x^{14} + 3 x^{13} - 52 x^{12} + 114 x^{11} - 91 x^{10} - 89 x^{9} + 299 x^{8} - 291 x^{7} + 28 x^{6} + 215 x^{5} - 223 x^{4} + 97 x^{3} - 16 x^{2} + x + 1$ |
$16$ |
[4,6] |
$3^{8}\cdot 5^{12}\cdot 179^{2}\cdot 1021$ |
$4$ |
$17.0788596007$ |
$2475.868173489506$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$9$ |
$3051.12459213$ |
| 16.0.535...125.1 |
$x^{16} - 4 x^{15} + 9 x^{14} - 15 x^{13} + 21 x^{12} - 27 x^{11} + 30 x^{10} - 28 x^{9} + 22 x^{8} - 9 x^{7} - 5 x^{6} + 11 x^{5} - 4 x^{4} - 5 x^{3} + x^{2} + 2 x + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{12}\cdot 181^{2}\cdot 1021$ |
$4$ |
$17.1025969638$ |
$2489.661417672909$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
$[2]$ |
$2$ |
$7$ |
$671.927273026$ |
| 16.4.535...125.1 |
$x^{16} - 4 x^{15} + 6 x^{14} - 12 x^{13} + 26 x^{12} - 27 x^{11} + 10 x^{10} - 10 x^{9} + 42 x^{8} - 45 x^{7} + 40 x^{6} - x^{5} + 6 x^{4} - 9 x^{3} + 14 x^{2} - 7 x + 1$ |
$16$ |
[4,6] |
$3^{8}\cdot 5^{12}\cdot 181^{2}\cdot 1021$ |
$4$ |
$17.1025969638$ |
$2489.661417672909$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$9$ |
$3403.82647153$ |
| 16.8.535...125.1 |
$x^{16} - x^{15} - 6 x^{14} + 11 x^{13} - 3 x^{12} - 20 x^{11} + 25 x^{10} - 2 x^{8} - 28 x^{7} + 54 x^{6} - 29 x^{5} - 21 x^{4} + 29 x^{3} - 8 x^{2} - 2 x + 1$ |
$16$ |
[8,4] |
$3^{8}\cdot 5^{12}\cdot 181^{2}\cdot 1021$ |
$4$ |
$17.1025969638$ |
$2489.661417672909$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$11$ |
$7067.44525335$ |
| 16.4.535...125.2 |
$x^{16} - x^{15} + 14 x^{13} - 16 x^{12} + 12 x^{11} + 26 x^{10} - 17 x^{9} - 4 x^{8} + 36 x^{7} - 11 x^{6} - 19 x^{5} + 29 x^{4} - 22 x^{3} + 5 x^{2} - 3 x + 1$ |
$16$ |
[4,6] |
$3^{8}\cdot 5^{12}\cdot 181^{2}\cdot 1021$ |
$4$ |
$17.1025969638$ |
$2489.661417672909$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$9$ |
$3628.13474099$ |
| 16.6.775...000.1 |
$x^{16} - 9 x^{14} + 32 x^{12} - 57 x^{10} + 55 x^{8} - 33 x^{6} + 12 x^{4} + 9 x^{2} - 9$ |
$16$ |
[6,5] |
$-\,2^{8}\cdot 3^{10}\cdot 5^{14}\cdot 29^{2}$ |
$4$ |
$17.5030722528$ |
$184.106844999311$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$10$ |
$6426.41231083$ |
| 16.10.985...875.1 |
$x^{16} - 6 x^{15} + 14 x^{14} - 8 x^{13} - 51 x^{12} + 161 x^{11} - 164 x^{10} - 81 x^{9} + 335 x^{8} - 221 x^{7} - 58 x^{6} + 17 x^{5} + 115 x^{4} - 29 x^{3} - 27 x^{2} + 2 x + 1$ |
$16$ |
[10,3] |
$-\,3^{8}\cdot 5^{12}\cdot 59\cdot 1021^{2}$ |
$4$ |
$17.7662021396$ |
$1421.4350085210183$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$12$ |
$12702.5224978$ |
| 16.6.985...875.1 |
$x^{16} - 3 x^{15} - 2 x^{14} + 11 x^{13} - 8 x^{12} + 2 x^{10} + 7 x^{9} - 15 x^{8} + 7 x^{7} + 2 x^{6} - 8 x^{4} + 11 x^{3} - 2 x^{2} - 3 x + 1$ |
$16$ |
[6,5] |
$-\,3^{8}\cdot 5^{12}\cdot 59\cdot 1021^{2}$ |
$4$ |
$17.7662021396$ |
$1421.4350085210183$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$10$ |
$6348.60558922$ |
| 16.8.101...125.1 |
$x^{16} - x^{15} - 7 x^{14} + 4 x^{13} + 7 x^{12} + 7 x^{10} + 12 x^{9} + 15 x^{8} + 12 x^{7} + 7 x^{6} + 7 x^{4} + 4 x^{3} - 7 x^{2} - x + 1$ |
$16$ |
[8,4] |
$3^{8}\cdot 5^{12}\cdot 61\cdot 1021^{2}$ |
$4$ |
$17.8032570775$ |
$1445.3263457088042$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$11$ |
$9336.55032389$ |
| 16.8.101...125.2 |
$x^{16} - 5 x^{15} + 4 x^{14} + 15 x^{13} - 30 x^{12} + 5 x^{11} + 66 x^{10} - 130 x^{9} + 34 x^{8} + 235 x^{7} - 194 x^{6} - 145 x^{5} + 110 x^{4} + 60 x^{3} - 21 x^{2} - 5 x + 1$ |
$16$ |
[8,4] |
$3^{8}\cdot 5^{12}\cdot 61\cdot 1021^{2}$ |
$4$ |
$17.8032570775$ |
$1445.3263457088042$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$11$ |
$9013.2757631$ |
| 16.6.116...144.1 |
$x^{16} - 4 x^{15} + 6 x^{14} - 4 x^{13} + x^{12} + 4 x^{11} - 64 x^{9} + 141 x^{8} - 48 x^{7} - 156 x^{6} + 100 x^{5} + 249 x^{4} - 372 x^{3} + 134 x^{2} + 28 x - 17$ |
$16$ |
[6,5] |
$-\,2^{44}\cdot 17^{4}\cdot 79$ |
$3$ |
$17.9492543437$ |
|
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$10$ |
$6446.12173024$ |
| 16.0.134...336.1 |
$x^{16} - 4 x^{15} + 10 x^{14} - 16 x^{13} + 15 x^{12} - 16 x^{11} + 26 x^{10} - 28 x^{9} + 26 x^{8} - 76 x^{7} + 170 x^{6} - 208 x^{5} + 203 x^{4} - 224 x^{3} + 226 x^{2} - 132 x + 31$ |
$16$ |
[0,8] |
$2^{52}\cdot 31^{3}$ |
$2$ |
$18.1124751861$ |
|
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$7$ |
$4200.23546423$ |
| 16.4.134...336.1 |
$x^{16} - 4 x^{15} + 2 x^{14} + 20 x^{13} - 77 x^{12} + 152 x^{11} - 232 x^{10} + 264 x^{9} - 223 x^{8} + 100 x^{7} + 22 x^{6} - 84 x^{5} + 75 x^{4} - 16 x^{3} - 20 x^{2} + 16 x - 4$ |
$16$ |
[4,6] |
$2^{52}\cdot 31^{3}$ |
$2$ |
$18.1124751861$ |
$255.45001899508864$ |
|
|
|
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$9$ |
$30165.1537579$ |
| 16.0.134...336.2 |
$x^{16} - 4 x^{15} + 10 x^{14} - 20 x^{13} + 23 x^{12} + 8 x^{11} - 52 x^{10} + 16 x^{9} + 228 x^{8} - 584 x^{7} + 836 x^{6} - 888 x^{5} + 722 x^{4} - 416 x^{3} + 152 x^{2} - 32 x + 4$ |
$16$ |
[0,8] |
$2^{52}\cdot 31^{3}$ |
$2$ |
$18.112475186145325$ |
$108.25937508676034$ |
|
|
|
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$7$ |
$14385.668559625119$ |
| 16.4.134...336.2 |
$x^{16} - 4 x^{15} + 10 x^{14} - 24 x^{13} + 35 x^{12} - 40 x^{11} + 34 x^{10} + 12 x^{9} - 58 x^{8} + 20 x^{7} + 34 x^{6} + 8 x^{5} - 41 x^{4} + 24 x^{3} - 6 x^{2} + 4 x - 1$ |
$16$ |
[4,6] |
$2^{52}\cdot 31^{3}$ |
$2$ |
$18.112475186145325$ |
|
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$9$ |
$11833.084314328344$ |
| 16.4.163...125.1 |
$x^{16} - 8 x^{15} + 33 x^{14} - 91 x^{13} + 183 x^{12} - 279 x^{11} + 323 x^{10} - 273 x^{9} + 140 x^{8} + 11 x^{7} - 103 x^{6} + 109 x^{5} - 59 x^{4} + 11 x^{3} + 7 x^{2} - 5 x + 1$ |
$16$ |
[4,6] |
$3^{8}\cdot 5^{12}\cdot 179^{2}\cdot 3181$ |
$4$ |
$18.3360164032$ |
$4370.151376646585$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$9$ |
$5321.52919456$ |
| 16.8.175...629.1 |
$x^{16} - 8 x^{15} + 19 x^{14} + 7 x^{13} - 86 x^{12} + 61 x^{11} + 141 x^{10} - 144 x^{9} - 157 x^{8} + 161 x^{7} + 125 x^{6} - 94 x^{5} - 66 x^{4} + 27 x^{3} + 17 x^{2} - 4 x - 1$ |
$16$ |
[8,4] |
$13^{3}\cdot 17^{12}\cdot 137$ |
$3$ |
$18.418154217$ |
$353.3203490132233$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$11$ |
$13243.1438437$ |
| 16.6.221...875.1 |
$x^{16} - 8 x^{15} + 33 x^{14} - 91 x^{13} + 182 x^{12} - 273 x^{11} + 303 x^{10} - 228 x^{9} + 70 x^{8} + 87 x^{7} - 154 x^{6} + 119 x^{5} - 38 x^{4} - 16 x^{3} + 23 x^{2} - 10 x + 1$ |
$16$ |
[6,5] |
$-\,3^{8}\cdot 5^{12}\cdot 59^{2}\cdot 39779$ |
$4$ |
$18.6905894647$ |
$8872.3990582093$ |
|
|
✓ |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$10$ |
$9266.77134405$ |
| 16.4.281...625.1 |
$x^{16} - 8 x^{15} + 26 x^{14} - 42 x^{13} + 24 x^{12} + 38 x^{11} - 93 x^{10} + 69 x^{9} + 16 x^{8} - 60 x^{7} + 32 x^{6} + 4 x^{5} - 11 x^{4} + 5 x^{3} - x + 1$ |
$16$ |
[4,6] |
$3^{10}\cdot 5^{12}\cdot 29\cdot 61^{2}\cdot 181$ |
$5$ |
$18.9713965782$ |
$4312.922439550948$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$9$ |
$6735.05045755$ |
| 16.4.284...000.1 |
$x^{16} - 8 x^{15} + 32 x^{14} - 84 x^{13} + 159 x^{12} - 226 x^{11} + 239 x^{10} - 172 x^{9} + 48 x^{8} + 70 x^{7} - 125 x^{6} + 110 x^{5} - 58 x^{4} + 14 x^{3} + 4 x^{2} - 4 x + 1$ |
$16$ |
[4,6] |
$2^{16}\cdot 5^{12}\cdot 41^{2}\cdot 59\cdot 179$ |
$5$ |
$18.9817848331$ |
|
|
|
✓ |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$9$ |
$6664.38613462$ |
| 16.10.298...875.1 |
$x^{16} - x^{15} - 13 x^{14} + 65 x^{12} + 56 x^{11} - 119 x^{10} - 220 x^{9} - 21 x^{8} + 220 x^{7} + 179 x^{6} + 48 x^{5} + 30 x^{4} - 5 x^{3} - 32 x^{2} - 8 x + 1$ |
$16$ |
[10,3] |
$-\,3^{8}\cdot 5^{12}\cdot 179\cdot 1021^{2}$ |
$4$ |
$19.0423113951$ |
$2475.868173489506$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$12$ |
$23241.037751$ |
| 16.6.298...875.1 |
$x^{16} - x^{15} - 7 x^{14} + 19 x^{13} - 23 x^{12} + 15 x^{11} - 8 x^{10} + 12 x^{9} - 15 x^{8} + 12 x^{7} - 8 x^{6} + 15 x^{5} - 23 x^{4} + 19 x^{3} - 7 x^{2} - x + 1$ |
$16$ |
[6,5] |
$-\,3^{8}\cdot 5^{12}\cdot 179\cdot 1021^{2}$ |
$4$ |
$19.0423113951$ |
$2475.868173489506$ |
|
|
✓ |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$10$ |
$11914.6438841$ |
| 16.10.298...875.2 |
$x^{16} - 6 x^{15} + 11 x^{14} + 11 x^{13} - 75 x^{12} + 65 x^{11} + 125 x^{10} - 187 x^{9} - 68 x^{8} + 128 x^{7} + 63 x^{6} - 20 x^{5} - 88 x^{4} + 33 x^{3} + 16 x^{2} - 9 x + 1$ |
$16$ |
[10,3] |
$-\,3^{8}\cdot 5^{12}\cdot 179\cdot 1021^{2}$ |
$4$ |
$19.0423113951$ |
$2475.868173489506$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$12$ |
$23191.2132427$ |
| 16.6.298...875.2 |
$x^{16} - 3 x^{15} + 4 x^{14} - 6 x^{13} + 6 x^{12} - 24 x^{11} + 85 x^{10} - 150 x^{9} + 222 x^{8} - 405 x^{7} + 490 x^{6} - 288 x^{5} + 191 x^{4} - 228 x^{3} + 126 x^{2} - 21 x + 1$ |
$16$ |
[6,5] |
$-\,3^{8}\cdot 5^{12}\cdot 179\cdot 1021^{2}$ |
$4$ |
$19.0423113951$ |
$2475.868173489506$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$10$ |
$10347.5753866$ |
| 16.12.302...125.1 |
$x^{16} - x^{15} - 10 x^{14} - 4 x^{13} + 28 x^{12} + 43 x^{11} + 14 x^{10} - 28 x^{9} - 114 x^{8} - 156 x^{7} + 37 x^{6} + 162 x^{5} + 25 x^{4} - 51 x^{3} - 11 x^{2} + 5 x + 1$ |
$16$ |
[12,2] |
$3^{8}\cdot 5^{12}\cdot 181\cdot 1021^{2}$ |
$4$ |
$19.0555399512$ |
$2489.661417672909$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$13$ |
$32380.1670441$ |
| 16.4.302...125.1 |
$x^{16} - 7 x^{15} + 18 x^{14} - 21 x^{13} + 7 x^{12} + 10 x^{11} - 3 x^{10} - 27 x^{9} + 45 x^{8} - 27 x^{7} - 3 x^{6} + 10 x^{5} + 7 x^{4} - 21 x^{3} + 18 x^{2} - 7 x + 1$ |
$16$ |
[4,6] |
$3^{8}\cdot 5^{12}\cdot 181\cdot 1021^{2}$ |
$4$ |
$19.0555399512$ |
$2489.661417672909$ |
|
|
✓ |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$9$ |
$6156.99635783$ |
| 16.8.302...125.1 |
$x^{16} - 6 x^{15} + 7 x^{14} + 21 x^{13} - 69 x^{12} + 75 x^{11} + 8 x^{10} - 135 x^{9} + 197 x^{8} - 135 x^{7} + 8 x^{6} + 75 x^{5} - 69 x^{4} + 21 x^{3} + 7 x^{2} - 6 x + 1$ |
$16$ |
[8,4] |
$3^{8}\cdot 5^{12}\cdot 181\cdot 1021^{2}$ |
$4$ |
$19.0555399512$ |
$2489.661417672909$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$11$ |
$16622.6415289$ |
| 16.8.302...125.2 |
$x^{16} - 5 x^{15} - x^{14} + 47 x^{13} - 77 x^{12} - 49 x^{11} + 179 x^{10} + 14 x^{9} - 166 x^{8} - 169 x^{7} + 263 x^{6} + 235 x^{5} - 318 x^{4} - 102 x^{3} + 164 x^{2} + 14 x - 29$ |
$16$ |
[8,4] |
$3^{8}\cdot 5^{12}\cdot 181\cdot 1021^{2}$ |
$4$ |
$19.0555399512$ |
$2489.661417672909$ |
|
|
? |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$11$ |
$15594.9520352$ |
| 16.8.421...125.1 |
$x^{16} - 8 x^{15} + 25 x^{14} - 35 x^{13} + 7 x^{12} + 49 x^{11} - 75 x^{10} + 45 x^{9} + 4 x^{8} - 33 x^{7} + 37 x^{6} - 27 x^{5} + 8 x^{4} + 7 x^{3} - 7 x^{2} + 2 x + 1$ |
$16$ |
[8,4] |
$3^{8}\cdot 5^{12}\cdot 29\cdot 59^{2}\cdot 2609$ |
$5$ |
$19.4569219553$ |
$12236.301656643083$ |
|
|
✓ |
$C_4^4.C_2\wr C_4$ (as 16T1771) |
trivial |
$2$ |
$11$ |
$18539.2719475$ |
