| 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 |
| 16.0.6788091008176384.1 |
$x^{16} - 2 x^{14} - 4 x^{12} + 10 x^{10} + 3 x^{8} - 12 x^{6} - x^{4} + 5 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{8}\cdot 47^{2}\cdot 331^{4}$ |
$3$ |
$9.76077335363$ |
$419.53231474906187$ |
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$7$ |
$11.7319712743$ |
| 16.0.30037248999755776.2 |
$x^{16} + x^{12} + 4 x^{10} + 6 x^{8} + 9 x^{6} + 6 x^{4} + x^{2} + 1$ |
$16$ |
[0,8] |
$2^{12}\cdot 41^{2}\cdot 257^{4}$ |
$3$ |
$10.7115855242$ |
$376.52145814077346$ |
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$7$ |
$27.65485179$ |
| 16.0.33765262030653696.1 |
$x^{16} - 5 x^{15} + 16 x^{14} - 36 x^{13} + 67 x^{12} - 106 x^{11} + 150 x^{10} - 196 x^{9} + 235 x^{8} - 246 x^{7} + 220 x^{6} - 167 x^{5} + 107 x^{4} - 56 x^{3} + 22 x^{2} - 6 x + 1$ |
$16$ |
[0,8] |
$2^{8}\cdot 3^{2}\cdot 73^{2}\cdot 229^{4}$ |
$4$ |
$10.7901972228$ |
$753.2554645885981$ |
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$7$ |
$31.8310900065$ |
| 16.0.37440324312760576.1 |
$x^{16} + 5 x^{14} + 10 x^{12} + 14 x^{10} + 19 x^{8} + 18 x^{6} + 10 x^{4} + 5 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{8}\cdot 151^{2}\cdot 283^{4}$ |
$3$ |
$10.8600975209$ |
$695.3191391635324$ |
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$7$ |
$32.6038239252$ |
| 16.0.121485239855939584.5 |
$x^{16} + 4 x^{14} + 8 x^{12} + 12 x^{10} + 13 x^{8} + 10 x^{6} + 7 x^{4} + 3 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 17^{2}\cdot 283^{4}$ |
$3$ |
$11.689144294$ |
|
|
|
✓ |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$7$ |
$58.4671396656$ |
| 16.0.121485239855939584.6 |
$x^{16} - 4 x^{14} + 8 x^{12} - 12 x^{10} + 13 x^{8} - 10 x^{6} + 7 x^{4} - 3 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 17^{2}\cdot 283^{4}$ |
$3$ |
$11.689144294$ |
|
|
|
✓ |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$7$ |
$57.9493991188$ |
| 16.4.202963613851988224.1 |
$x^{16} - 5 x^{14} + 7 x^{12} + 2 x^{10} - 11 x^{8} + 8 x^{6} - 6 x^{4} + 4 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{8}\cdot 257^{2}\cdot 331^{4}$ |
$3$ |
$12.070176943$ |
$981.0317226691177$ |
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$9$ |
$152.42521367$ |
| 16.4.145...144.3 |
$x^{16} - 4 x^{14} + 11 x^{12} - 17 x^{10} + 18 x^{8} - 10 x^{6} - 2 x^{4} + x^{2} + 1$ |
$16$ |
[4,6] |
$2^{16}\cdot 43^{2}\cdot 331^{4}$ |
$3$ |
$13.6511912497$ |
|
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$9$ |
$454.144939858$ |
| 16.4.145...144.4 |
$x^{16} - 7 x^{14} + 21 x^{12} - 34 x^{10} + 30 x^{8} - 13 x^{6} + 3 x^{4} - 3 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{16}\cdot 43^{2}\cdot 331^{4}$ |
$3$ |
$13.6511912497$ |
|
|
|
✓ |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$9$ |
$443.96086029$ |
| 16.4.829...704.1 |
$x^{16} + 4 x^{14} + 3 x^{12} - 3 x^{10} - 4 x^{8} - 13 x^{6} - 23 x^{4} - 9 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{8}\cdot 19^{4}\cdot 47^{2}\cdot 103^{4}$ |
$4$ |
$15.2203604125$ |
$857.8065049881587$ |
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$9$ |
$1333.640782$ |
| 16.8.829...704.1 |
$x^{16} - x^{14} - 11 x^{12} + 12 x^{10} + 25 x^{8} - 40 x^{6} + 18 x^{4} - 4 x^{2} + 1$ |
$16$ |
[8,4] |
$2^{8}\cdot 19^{4}\cdot 47^{2}\cdot 103^{4}$ |
$4$ |
$15.2203604125$ |
$1020.1095990275355$ |
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$11$ |
$2259.70969555$ |
| 16.4.829...704.2 |
$x^{16} - 13 x^{12} - 13 x^{10} + 36 x^{8} + 71 x^{6} + 43 x^{4} + 11 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{8}\cdot 19^{4}\cdot 47^{2}\cdot 103^{4}$ |
$4$ |
$15.2203604125$ |
$1020.1095990275355$ |
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$9$ |
$1041.71294894$ |
| 16.0.153...184.1 |
$x^{16} + 2 x^{14} + 2 x^{12} + 9 x^{10} + 26 x^{8} + 41 x^{6} + 34 x^{4} + 11 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 37^{2}\cdot 643^{4}$ |
$3$ |
$15.8164114559$ |
|
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$7$ |
$562.106365111$ |
| 16.4.153...184.2 |
$x^{16} + 2 x^{14} - 4 x^{12} - 8 x^{10} - 13 x^{8} - 17 x^{6} - 9 x^{4} + 1$ |
$16$ |
[4,6] |
$2^{16}\cdot 37^{2}\cdot 643^{4}$ |
$3$ |
$15.8164114559$ |
|
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$9$ |
$1489.53370955$ |
| 16.8.153...184.2 |
$x^{16} - 2 x^{14} + 2 x^{12} - 9 x^{10} + 26 x^{8} - 41 x^{6} + 34 x^{4} - 11 x^{2} + 1$ |
$16$ |
[8,4] |
$2^{16}\cdot 37^{2}\cdot 643^{4}$ |
$3$ |
$15.8164114559$ |
|
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$11$ |
$3197.25821611$ |
| 16.4.153...184.3 |
$x^{16} - 2 x^{14} - 4 x^{12} + 8 x^{10} - 13 x^{8} + 17 x^{6} - 9 x^{4} + 1$ |
$16$ |
[4,6] |
$2^{16}\cdot 37^{2}\cdot 643^{4}$ |
$3$ |
$15.8164114559$ |
|
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$9$ |
$1472.91032721$ |
| 16.4.153...184.4 |
$x^{16} - x^{14} - 7 x^{12} + 11 x^{10} + 9 x^{8} - 18 x^{6} + 9 x^{4} - 4 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{16}\cdot 37^{2}\cdot 643^{4}$ |
$3$ |
$15.8164114559$ |
|
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$9$ |
$1551.61100642$ |
| 16.4.155...504.3 |
$x^{16} + 2 x^{14} - 2 x^{12} - 19 x^{10} - 31 x^{8} - 8 x^{6} + x^{4} - 9 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{18}\cdot 2777^{4}$ |
$2$ |
$15.8326173279$ |
$291.7129718336126$ |
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$9$ |
$5040.19967602$ |
| 16.4.155...504.4 |
$x^{16} + 3 x^{14} - 2 x^{12} - 21 x^{10} - 34 x^{8} - 17 x^{6} + 13 x^{4} + 16 x^{2} + 4$ |
$16$ |
[4,6] |
$2^{18}\cdot 2777^{4}$ |
$2$ |
$15.8326173279$ |
$285.46216438494946$ |
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$9$ |
$5049.92625631$ |
| 16.0.174...656.1 |
$x^{16} + x^{14} - 7 x^{12} - 5 x^{10} + 18 x^{8} + 20 x^{6} + 11 x^{4} + 7 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 149^{2}\cdot 331^{4}$ |
$3$ |
$15.9453948379$ |
|
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$7$ |
$620.559300817$ |
| 16.8.174...656.2 |
$x^{16} - x^{14} - 7 x^{12} + 5 x^{10} + 18 x^{8} - 20 x^{6} + 11 x^{4} - 7 x^{2} + 1$ |
$16$ |
[8,4] |
$2^{16}\cdot 149^{2}\cdot 331^{4}$ |
$3$ |
$15.9453948379$ |
|
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$11$ |
$3405.92478435$ |
| 16.0.575...936.2 |
$x^{16} - 3 x^{15} + 14 x^{14} - 32 x^{13} + 78 x^{12} - 140 x^{11} + 226 x^{10} - 305 x^{9} + 338 x^{8} - 305 x^{7} + 226 x^{6} - 140 x^{5} + 78 x^{4} - 32 x^{3} + 14 x^{2} - 3 x + 1$ |
$16$ |
[0,8] |
$2^{12}\cdot 10889^{4}$ |
$2$ |
$17.1798550865$ |
$382.75884973591815$ |
|
|
|
$C_2\wr C_2^3.S_4$ (as 16T1852) |
$[2]$ |
$2$ |
$7$ |
$1808.27126112$ |
| 16.0.575...936.3 |
$x^{16} - 3 x^{15} + 9 x^{14} - 12 x^{13} + 18 x^{12} - 9 x^{11} + 21 x^{9} - 2 x^{8} - 51 x^{7} + 92 x^{6} - 86 x^{5} + 54 x^{4} - 27 x^{3} + 13 x^{2} - 5 x + 1$ |
$16$ |
[0,8] |
$2^{12}\cdot 10889^{4}$ |
$2$ |
$17.1798550865$ |
$382.75884973591815$ |
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
$[2]$ |
$2$ |
$7$ |
$2284.86538364$ |
| 16.8.128...744.2 |
$x^{16} - 2 x^{14} - 8 x^{12} + 14 x^{10} + 16 x^{8} - 13 x^{6} - 20 x^{4} - 5 x^{2} + 1$ |
$16$ |
[8,4] |
$2^{12}\cdot 23^{2}\cdot 2777^{4}$ |
$3$ |
$18.0668503055$ |
$927.0071839089059$ |
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$11$ |
$10055.0342897$ |
| 16.0.495...344.1 |
$x^{16} - 5 x^{15} + 11 x^{14} - 11 x^{13} - x^{12} + 8 x^{11} - 8 x^{10} + 8 x^{9} + 10 x^{8} + 8 x^{7} - 8 x^{6} + 8 x^{5} - x^{4} - 11 x^{3} + 11 x^{2} - 5 x + 1$ |
$16$ |
[0,8] |
$2^{4}\cdot 17^{2}\cdot 18097^{4}$ |
$3$ |
$19.6546475632$ |
$1109.3223156504155$ |
|
|
|
$C_2\wr C_2^3.S_4$ (as 16T1852) |
$[2]$ |
$2$ |
$7$ |
$7301.98569112$ |
| 16.4.495...344.1 |
$x^{16} - 6 x^{15} + 12 x^{14} - 6 x^{13} - 18 x^{12} + 46 x^{11} - 29 x^{10} - 34 x^{9} + 64 x^{8} - 34 x^{7} - 29 x^{6} + 46 x^{5} - 18 x^{4} - 6 x^{3} + 12 x^{2} - 6 x + 1$ |
$16$ |
[4,6] |
$2^{4}\cdot 17^{2}\cdot 18097^{4}$ |
$3$ |
$19.6546475632$ |
$1109.3223156504155$ |
|
|
|
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$9$ |
$19108.8579219$ |
| 16.0.234...024.1 |
$x^{16} + 10 x^{14} + 43 x^{12} + 127 x^{10} + 287 x^{8} + 466 x^{6} + 541 x^{4} + 412 x^{2} + 144$ |
$16$ |
[0,8] |
$2^{4}\cdot 37^{2}\cdot 18097^{4}$ |
$3$ |
$21.6612922105$ |
$1636.568360930884$ |
|
|
|
$C_2\wr C_2^3.S_4$ (as 16T1852) |
$[2]$ |
$2$ |
$7$ |
$21854.2637437$ |
| 16.4.234...024.1 |
$x^{16} + x^{14} + 2 x^{12} - 18 x^{10} - 51 x^{8} - 5 x^{6} + 17 x^{4} + 4 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{4}\cdot 37^{2}\cdot 18097^{4}$ |
$3$ |
$21.6612922105$ |
$1636.568360930884$ |
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$9$ |
$61650.2588468$ |
| 16.8.368...904.1 |
$x^{16} + 2 x^{14} - 12 x^{12} + 9 x^{10} - 11 x^{8} + 8 x^{6} + 19 x^{4} - 13 x^{2} + 1$ |
$16$ |
[8,4] |
$2^{18}\cdot 10889^{4}$ |
$2$ |
$22.2795156193$ |
|
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$11$ |
$103210.003753$ |
| 16.4.368...904.2 |
$x^{16} - 2 x^{14} - 12 x^{12} - 9 x^{10} - 11 x^{8} - 8 x^{6} + 19 x^{4} + 13 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{18}\cdot 10889^{4}$ |
$2$ |
$22.2795156193$ |
|
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$9$ |
$41757.5945103$ |
| 16.8.368...904.2 |
$x^{16} - 10 x^{14} + 30 x^{12} - 35 x^{10} - 6 x^{8} + 60 x^{6} - 43 x^{4} + 4$ |
$16$ |
[8,4] |
$2^{18}\cdot 10889^{4}$ |
$2$ |
$22.2795156193$ |
|
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$11$ |
$113638.405764$ |
| 16.4.368...904.3 |
$x^{16} - 5 x^{14} + 18 x^{12} - 56 x^{10} + 90 x^{8} - 52 x^{6} + 16 x^{4} - 57 x^{2} + 49$ |
$16$ |
[4,6] |
$2^{18}\cdot 10889^{4}$ |
$2$ |
$22.2795156193$ |
$382.75884973591815$ |
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
$[2]$ |
$2$ |
$9$ |
$48971.0266872$ |
| 16.4.368...904.4 |
$x^{16} + 10 x^{14} + 30 x^{12} + 35 x^{10} - 6 x^{8} - 60 x^{6} - 43 x^{4} + 4$ |
$16$ |
[4,6] |
$2^{18}\cdot 10889^{4}$ |
$2$ |
$22.2795156193$ |
|
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$9$ |
$47080.0835694$ |
| 16.4.368...904.5 |
$x^{16} - 4 x^{12} - 14 x^{10} + 43 x^{8} - 64 x^{6} + 57 x^{4} - 24 x^{2} + 4$ |
$16$ |
[4,6] |
$2^{18}\cdot 10889^{4}$ |
$2$ |
$22.2795156193$ |
$382.75884973591815$ |
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
$[2]$ |
$2$ |
$9$ |
$31187.6243972$ |
| 16.12.720...224.1 |
$x^{16} - 7 x^{14} + 2 x^{12} + 99 x^{10} - 319 x^{8} + 393 x^{6} - 175 x^{4} + x^{2} + 1$ |
$16$ |
[12,2] |
$2^{16}\cdot 43^{2}\cdot 2777^{4}$ |
$3$ |
$23.233119303$ |
|
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$13$ |
$215355.22418$ |
| 16.4.720...224.1 |
$x^{16} + 2 x^{14} - 20 x^{12} - 69 x^{10} - 22 x^{8} + 150 x^{6} + 193 x^{4} + 72 x^{2} + 4$ |
$16$ |
[4,6] |
$2^{16}\cdot 43^{2}\cdot 2777^{4}$ |
$3$ |
$23.233119303$ |
|
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$9$ |
$30897.3124679$ |
| 16.8.720...224.1 |
$x^{16} + 5 x^{14} - 11 x^{12} - 51 x^{10} + 35 x^{8} + 57 x^{6} - 44 x^{4} + 3 x^{2} + 1$ |
$16$ |
[8,4] |
$2^{16}\cdot 43^{2}\cdot 2777^{4}$ |
$3$ |
$23.233119303$ |
|
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$11$ |
$266933.569919$ |
| 16.12.720...224.2 |
$x^{16} - 2 x^{14} - 20 x^{12} + 69 x^{10} - 22 x^{8} - 150 x^{6} + 193 x^{4} - 72 x^{2} + 4$ |
$16$ |
[12,2] |
$2^{16}\cdot 43^{2}\cdot 2777^{4}$ |
$3$ |
$23.233119303$ |
|
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$13$ |
$218492.443139$ |
| 16.4.720...224.2 |
$x^{16} + 7 x^{14} + 2 x^{12} - 99 x^{10} - 319 x^{8} - 393 x^{6} - 175 x^{4} - x^{2} + 1$ |
$16$ |
[4,6] |
$2^{16}\cdot 43^{2}\cdot 2777^{4}$ |
$3$ |
$23.233119303$ |
|
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$9$ |
$44043.9425689$ |
| 16.8.720...224.2 |
$x^{16} + 3 x^{14} - 23 x^{12} - 49 x^{10} + 62 x^{8} + 56 x^{6} - 55 x^{4} + 8 x^{2} + 1$ |
$16$ |
[8,4] |
$2^{16}\cdot 43^{2}\cdot 2777^{4}$ |
$3$ |
$23.233119303$ |
|
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$11$ |
$274933.89351$ |
| 16.12.183...136.1 |
$x^{16} - 4 x^{15} - 11 x^{14} + 57 x^{13} + 2 x^{12} - 200 x^{11} + 158 x^{10} + 177 x^{9} - 514 x^{8} + 210 x^{7} + 825 x^{6} - 263 x^{5} - 674 x^{4} - 126 x^{3} + 140 x^{2} + 69 x + 9$ |
$16$ |
[12,2] |
$2^{8}\cdot 19^{4}\cdot 47^{4}\cdot 103^{4}$ |
$4$ |
$24.628455019$ |
$1020.1095990275355$ |
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$13$ |
$342858.643222$ |
| 16.8.423...904.1 |
$x^{16} - 2 x^{15} - 13 x^{14} + 32 x^{13} + 43 x^{12} - 151 x^{11} - 65 x^{10} + 291 x^{9} + 45 x^{8} - 206 x^{7} + 48 x^{6} + 69 x^{5} - 19 x^{4} - 21 x^{3} - 59 x^{2} - 36 x - 4$ |
$16$ |
[8,4] |
$2^{4}\cdot 157^{2}\cdot 18097^{4}$ |
$3$ |
$25.950552108$ |
$3371.1891077185214$ |
|
|
|
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$11$ |
$465728.440386$ |
| 16.12.483...144.1 |
$x^{16} - 4 x^{15} - 4 x^{14} + 34 x^{13} - 32 x^{12} - 58 x^{11} + 222 x^{10} - 274 x^{9} - 406 x^{8} + 1314 x^{7} - 26 x^{6} - 2180 x^{5} + 792 x^{4} + 1620 x^{3} - 724 x^{2} - 452 x + 173$ |
$16$ |
[12,2] |
$2^{20}\cdot 3^{2}\cdot 8461^{4}$ |
$3$ |
$26.1687558416$ |
$551.5906346729306$ |
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$13$ |
$1785702.13009$ |
| 16.0.666...264.1 |
$x^{16} - 6 x^{14} + 19 x^{12} - 65 x^{10} + 215 x^{8} - 466 x^{6} + 601 x^{4} - 436 x^{2} + 144$ |
$16$ |
[0,8] |
$2^{4}\cdot 197^{2}\cdot 18097^{4}$ |
$3$ |
$26.6973050445$ |
$3776.299246616984$ |
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
$[4]$ |
$2$ |
$7$ |
$43496.6729604$ |
| 16.8.666...264.1 |
$x^{16} - 4 x^{15} - 6 x^{14} + 49 x^{13} - 65 x^{12} - 61 x^{11} + 281 x^{10} - 310 x^{9} - 36 x^{8} + 407 x^{7} - 447 x^{6} + 151 x^{5} + 141 x^{4} - 152 x^{3} + 47 x^{2} - 2 x - 1$ |
$16$ |
[8,4] |
$2^{4}\cdot 197^{2}\cdot 18097^{4}$ |
$3$ |
$26.6973050445$ |
$3776.299246616984$ |
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$11$ |
$422900.247672$ |
| 16.0.666...264.2 |
$x^{16} - x^{15} + 7 x^{14} - 2 x^{13} + 7 x^{12} + 6 x^{11} + 12 x^{10} - 27 x^{9} + 132 x^{8} - 32 x^{7} - 143 x^{6} - 115 x^{5} + 69 x^{4} + 135 x^{3} + 100 x^{2} + 36 x + 7$ |
$16$ |
[0,8] |
$2^{4}\cdot 197^{2}\cdot 18097^{4}$ |
$3$ |
$26.6973050445$ |
$3776.299246616984$ |
|
|
|
$C_2\wr C_2^3.S_4$ (as 16T1852) |
$[4]$ |
$2$ |
$7$ |
$69461.5780542$ |
| 16.0.681...576.1 |
$x^{16} + 19 x^{14} + 167 x^{12} + 890 x^{10} + 2773 x^{8} + 4949 x^{6} + 4942 x^{4} + 2553 x^{2} + 529$ |
$16$ |
[0,8] |
$2^{12}\cdot 23^{4}\cdot 2777^{4}$ |
$3$ |
$26.7361227018$ |
$927.0071839089059$ |
|
|
|
$C_2\wr C_2^3.S_4$ (as 16T1852) |
$[3]$ |
$2$ |
$7$ |
$21842.9503417$ |
| 16.0.112...856.1 |
$x^{16} + 16 x^{14} + 110 x^{12} + 424 x^{10} + 981 x^{8} + 1320 x^{6} + 908 x^{4} + 240 x^{2} + 16$ |
$16$ |
[0,8] |
$2^{20}\cdot 18097^{4}$ |
$2$ |
$27.5860259988$ |
|
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
$[2, 2]$ |
$2$ |
$7$ |
$18679.5757097$ |
| 16.8.542...304.1 |
$x^{16} - 2 x^{15} - 2 x^{14} + 2 x^{13} - 147 x^{12} + 439 x^{11} - 786 x^{10} + 1408 x^{9} + 1789 x^{8} - 3682 x^{7} - 1926 x^{6} - 844 x^{5} + 3809 x^{4} - 8402 x^{3} + 7592 x^{2} + 812 x - 1682$ |
$16$ |
[8,4] |
$2^{6}\cdot 43^{2}\cdot 2777^{6}$ |
$3$ |
$40.5892251062$ |
$7095.14264337688$ |
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$11$ |
$9710327.82123$ |
| 16.8.542...304.2 |
$x^{16} + 9 x^{14} - 29 x^{13} - 182 x^{12} - 103 x^{11} - 289 x^{10} + 2096 x^{9} + 43 x^{8} - 6952 x^{7} + 13569 x^{6} - 5247 x^{5} - 5567 x^{4} + 7585 x^{3} - 9021 x^{2} + 1450 x + 1439$ |
$16$ |
[8,4] |
$2^{6}\cdot 43^{2}\cdot 2777^{6}$ |
$3$ |
$40.5892251062$ |
$7095.14264337688$ |
|
|
? |
$C_2\wr C_2^3.S_4$ (as 16T1852) |
trivial |
$2$ |
$11$ |
$9904583.76793$ |
