| 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 |
| 16.0.8067379209183488.1 |
$x^{16} - 3 x^{15} + 3 x^{14} + x^{13} + x^{12} - 18 x^{11} + 36 x^{10} - 33 x^{9} + 23 x^{8} - 42 x^{7} + 92 x^{6} - 129 x^{5} + 120 x^{4} - 76 x^{3} + 32 x^{2} - 8 x + 1$ |
$16$ |
[0,8] |
$2^{8}\cdot 17^{3}\cdot 283^{4}$ |
$3$ |
$9.86667400786$ |
$473.73165033466563$ |
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$7$ |
$13.0020519042$ |
| 16.2.319040277384290048.2 |
$x^{16} - 6 x^{15} + 15 x^{14} - 23 x^{13} + 29 x^{12} - 34 x^{11} + 28 x^{10} - 14 x^{9} + x^{8} + 40 x^{7} - 80 x^{6} + 58 x^{5} - 30 x^{4} + 29 x^{3} - 20 x^{2} + 6 x - 1$ |
$16$ |
[2,7] |
$-\,2^{8}\cdot 47^{3}\cdot 331^{4}$ |
$3$ |
$12.4162470312$ |
$1098.4742548959503$ |
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$8$ |
$137.374267948$ |
| 16.0.123...816.1 |
$x^{16} + 7 x^{14} + 23 x^{12} + 58 x^{10} + 113 x^{8} + 149 x^{6} + 154 x^{4} + 101 x^{2} + 41$ |
$16$ |
[0,8] |
$2^{12}\cdot 41^{3}\cdot 257^{4}$ |
$3$ |
$13.5099191723$ |
$393.1914872577507$ |
|
|
|
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$7$ |
$323.636971583$ |
| 16.0.123...816.2 |
$x^{16} - 4 x^{14} + 3 x^{12} + 12 x^{10} - 19 x^{8} - 29 x^{6} + 106 x^{4} - 110 x^{2} + 41$ |
$16$ |
[0,8] |
$2^{12}\cdot 41^{3}\cdot 257^{4}$ |
$3$ |
$13.5099191723$ |
$393.1914872577507$ |
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$7$ |
$195.121050342$ |
| 16.0.140...000.3 |
$x^{16} - 2 x^{12} + 4 x^{10} - 3 x^{8} - 5 x^{6} + 11 x^{4} - 10 x^{2} + 5$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{3}\cdot 643^{4}$ |
$3$ |
$13.6188242291$ |
|
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$7$ |
$225.397876645$ |
| 16.0.140...000.5 |
$x^{16} - 2 x^{12} - 4 x^{10} - 3 x^{8} + 5 x^{6} + 11 x^{4} + 10 x^{2} + 5$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{3}\cdot 643^{4}$ |
$3$ |
$13.618824229062312$ |
|
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$7$ |
$256.8743801549936$ |
| 16.4.206...928.1 |
$x^{16} - 2 x^{15} - 3 x^{14} + 6 x^{13} - 11 x^{12} + 8 x^{11} + 11 x^{10} + 2 x^{9} + 5 x^{8} + 8 x^{7} - 4 x^{6} - 20 x^{5} - 25 x^{4} - 18 x^{3} - 10 x^{2} - 2 x + 1$ |
$16$ |
[4,6] |
$2^{16}\cdot 17^{3}\cdot 283^{4}$ |
$3$ |
$13.9535841974$ |
|
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$9$ |
$583.380590325$ |
| 16.2.625...192.2 |
$x^{16} + 2 x^{14} + 3 x^{12} + 17 x^{10} + 76 x^{8} + 191 x^{6} + 150 x^{4} - 43$ |
$16$ |
[2,7] |
$-\,2^{16}\cdot 43^{3}\cdot 331^{4}$ |
$3$ |
$17.2688067522$ |
|
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$8$ |
$2420.50323026$ |
| 16.4.358...000.3 |
$x^{16} - 4 x^{15} + 6 x^{14} - 12 x^{13} + 24 x^{12} - 18 x^{11} - 20 x^{10} + 68 x^{9} - 30 x^{8} - 68 x^{7} + 64 x^{6} + 14 x^{5} - 43 x^{4} + 2 x^{3} + 18 x^{2} - 8 x + 1$ |
$16$ |
[4,6] |
$2^{24}\cdot 5^{3}\cdot 643^{4}$ |
$3$ |
$19.2599259283$ |
|
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$9$ |
$14448.7278534$ |
| 16.6.382...263.1 |
$x^{16} - 2 x^{15} - x^{14} - 3 x^{13} + x^{12} + 13 x^{11} + 13 x^{10} + 3 x^{9} - 31 x^{8} - 42 x^{7} + 8 x^{6} + 47 x^{5} + 23 x^{4} - 9 x^{3} - 14 x^{2} - 7 x - 1$ |
$16$ |
[6,5] |
$-\,23^{5}\cdot 2777^{4}$ |
$2$ |
$19.3389957826$ |
$553.4569136125293$ |
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$10$ |
$12094.3988872$ |
| 16.10.389...088.1 |
$x^{16} - x^{15} - 14 x^{14} + 22 x^{13} + 48 x^{12} - 112 x^{11} - 5 x^{10} + 159 x^{9} - 116 x^{8} + 29 x^{7} - 24 x^{6} - 39 x^{5} + 143 x^{4} - 143 x^{3} + 66 x^{2} - 14 x + 1$ |
$16$ |
[10,3] |
$-\,2^{8}\cdot 19^{4}\cdot 47^{3}\cdot 103^{4}$ |
$4$ |
$19.3611456735$ |
$2670.9840751462266$ |
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$12$ |
$25237.7683428$ |
| 16.2.389...088.1 |
$x^{16} - 2 x^{15} + x^{14} + 6 x^{13} - 8 x^{12} + 13 x^{11} - 26 x^{10} + 32 x^{9} - 23 x^{8} + 54 x^{7} - 23 x^{6} + 133 x^{5} + 103 x^{4} + 129 x^{3} - 8 x^{2} + 26 x + 1$ |
$16$ |
[2,7] |
$-\,2^{8}\cdot 19^{4}\cdot 47^{3}\cdot 103^{4}$ |
$4$ |
$19.3611456735$ |
$2670.9840751462266$ |
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$8$ |
$4257.11009032$ |
| 16.2.389...088.2 |
$x^{16} + 6 x^{14} - 3 x^{12} - 43 x^{10} + 18 x^{8} + 183 x^{6} + 131 x^{4} - 47 x^{2} - 47$ |
$16$ |
[2,7] |
$-\,2^{8}\cdot 19^{4}\cdot 47^{3}\cdot 103^{4}$ |
$4$ |
$19.3611456735$ |
$2246.0209339902203$ |
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$8$ |
$5773.90745159$ |
| 16.8.567...808.2 |
$x^{16} - 15 x^{14} + 89 x^{12} - 271 x^{10} + 472 x^{8} - 518 x^{6} + 391 x^{4} - 185 x^{2} + 37$ |
$16$ |
[8,4] |
$2^{16}\cdot 37^{3}\cdot 643^{4}$ |
$3$ |
$19.8207718324$ |
|
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$11$ |
$21565.6282046$ |
| 16.4.567...808.2 |
$x^{16} + 8 x^{14} + 10 x^{12} - 41 x^{10} - 107 x^{8} + 15 x^{6} + 65 x^{4} - 37 x^{2} + 37$ |
$16$ |
[4,6] |
$2^{16}\cdot 37^{3}\cdot 643^{4}$ |
$3$ |
$19.8207718324$ |
|
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$9$ |
$9587.76418296$ |
| 16.0.567...808.3 |
$x^{16} + 15 x^{14} + 89 x^{12} + 271 x^{10} + 472 x^{8} + 518 x^{6} + 391 x^{4} + 185 x^{2} + 37$ |
$16$ |
[0,8] |
$2^{16}\cdot 37^{3}\cdot 643^{4}$ |
$3$ |
$19.8207718324$ |
|
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$7$ |
$3494.30872149$ |
| 16.4.567...808.3 |
$x^{16} - 8 x^{14} + 10 x^{12} + 41 x^{10} - 107 x^{8} - 15 x^{6} + 65 x^{4} + 37 x^{2} + 37$ |
$16$ |
[4,6] |
$2^{16}\cdot 37^{3}\cdot 643^{4}$ |
$3$ |
$19.8207718324$ |
|
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$9$ |
$9892.94901403$ |
| 16.0.205...000.1 |
$x^{16} + 8 x^{14} + 22 x^{12} + 20 x^{10} + x^{8} + 31 x^{6} + 84 x^{4} + 55 x^{2} + 5$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{4}\cdot 5^{3}\cdot 1327^{4}$ |
$4$ |
$21.4825047194$ |
|
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$7$ |
$10167.0433265$ |
| 16.4.205...000.1 |
$x^{16} + 3 x^{14} - 4 x^{12} - 32 x^{10} - 43 x^{8} - 17 x^{6} + 39 x^{4} + 35 x^{2} + 5$ |
$16$ |
[4,6] |
$2^{16}\cdot 3^{4}\cdot 5^{3}\cdot 1327^{4}$ |
$4$ |
$21.4825047194$ |
|
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$9$ |
$25868.6208032$ |
| 16.8.205...000.1 |
$x^{16} - 7 x^{14} + 19 x^{12} - 40 x^{10} + 88 x^{8} - 128 x^{6} + 96 x^{4} - 35 x^{2} + 5$ |
$16$ |
[8,4] |
$2^{16}\cdot 3^{4}\cdot 5^{3}\cdot 1327^{4}$ |
$4$ |
$21.4825047194$ |
|
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$11$ |
$61390.7824051$ |
| 16.0.205...000.2 |
$x^{16} + 7 x^{14} + 19 x^{12} + 40 x^{10} + 88 x^{8} + 128 x^{6} + 96 x^{4} + 35 x^{2} + 5$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{4}\cdot 5^{3}\cdot 1327^{4}$ |
$4$ |
$21.4825047194$ |
|
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$7$ |
$11010.2755556$ |
| 16.4.205...000.2 |
$x^{16} - 2 x^{14} - 9 x^{12} + 28 x^{10} - 9 x^{8} - 29 x^{6} + x^{4} + 5 x^{2} + 5$ |
$16$ |
[4,6] |
$2^{16}\cdot 3^{4}\cdot 5^{3}\cdot 1327^{4}$ |
$4$ |
$21.4825047194$ |
|
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$9$ |
$27197.6954129$ |
| 16.8.205...000.2 |
$x^{16} - 8 x^{14} + 22 x^{12} - 20 x^{10} + x^{8} - 31 x^{6} + 84 x^{4} - 55 x^{2} + 5$ |
$16$ |
[8,4] |
$2^{16}\cdot 3^{4}\cdot 5^{3}\cdot 1327^{4}$ |
$4$ |
$21.4825047194$ |
|
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$11$ |
$61167.33133$ |
| 16.0.260...744.1 |
$x^{16} + 9 x^{14} + 30 x^{12} + 77 x^{10} + 275 x^{8} + 701 x^{6} + 929 x^{4} + 596 x^{2} + 149$ |
$16$ |
[0,8] |
$2^{16}\cdot 149^{3}\cdot 331^{4}$ |
$3$ |
$21.8001468665$ |
|
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$7$ |
$8644.44146548$ |
| 16.8.260...744.1 |
$x^{16} - 9 x^{14} + 30 x^{12} - 77 x^{10} + 275 x^{8} - 701 x^{6} + 929 x^{4} - 596 x^{2} + 149$ |
$16$ |
[8,4] |
$2^{16}\cdot 149^{3}\cdot 331^{4}$ |
$3$ |
$21.8001468665$ |
|
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$11$ |
$49242.3780318$ |
| 16.10.296...112.1 |
$x^{16} - 51 x^{10} + 73 x^{8} + 114 x^{6} - 251 x^{4} + 138 x^{2} - 23$ |
$16$ |
[10,3] |
$-\,2^{12}\cdot 23^{3}\cdot 2777^{4}$ |
$3$ |
$21.9781147191$ |
$2030.0889100890713$ |
|
|
|
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$12$ |
$118413.926201$ |
| 16.6.296...112.1 |
$x^{16} - 16 x^{12} + 15 x^{10} + 99 x^{8} - 72 x^{6} - 143 x^{4} + 138 x^{2} - 23$ |
$16$ |
[6,5] |
$-\,2^{12}\cdot 23^{3}\cdot 2777^{4}$ |
$3$ |
$21.9781147191$ |
$2030.0889100890713$ |
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$10$ |
$32821.8775809$ |
| 16.12.309...632.1 |
$x^{16} - 14 x^{14} + 59 x^{12} + 9 x^{10} - 734 x^{8} + 2103 x^{6} - 2343 x^{4} + 860 x^{2} + 43$ |
$16$ |
[12,2] |
$2^{16}\cdot 43^{3}\cdot 2777^{4}$ |
$3$ |
$29.3899807098$ |
$3463.714482798763$ |
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$13$ |
$1587081.65977$ |
| 16.4.309...632.1 |
$x^{16} + 14 x^{14} + 51 x^{12} - 30 x^{10} - 390 x^{8} - 289 x^{6} + 657 x^{4} + 731 x^{2} + 43$ |
$16$ |
[4,6] |
$2^{16}\cdot 43^{3}\cdot 2777^{4}$ |
$3$ |
$29.3899807098$ |
$3463.714482798763$ |
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$9$ |
$638682.568045$ |
| 16.8.309...632.1 |
$x^{16} + x^{14} - 51 x^{12} - 20 x^{10} + 681 x^{8} - 183 x^{6} - 2280 x^{4} + 1204 x^{2} + 43$ |
$16$ |
[8,4] |
$2^{16}\cdot 43^{3}\cdot 2777^{4}$ |
$3$ |
$29.3899807098$ |
$3463.714482798763$ |
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$11$ |
$619018.477558$ |
| 16.12.309...632.2 |
$x^{16} - 14 x^{14} + 51 x^{12} + 30 x^{10} - 390 x^{8} + 289 x^{6} + 657 x^{4} - 731 x^{2} + 43$ |
$16$ |
[12,2] |
$2^{16}\cdot 43^{3}\cdot 2777^{4}$ |
$3$ |
$29.3899807098$ |
$3463.714482798763$ |
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$13$ |
$4444312.30874$ |
| 16.4.309...632.2 |
$x^{16} + 14 x^{14} + 59 x^{12} - 9 x^{10} - 734 x^{8} - 2103 x^{6} - 2343 x^{4} - 860 x^{2} + 43$ |
$16$ |
[4,6] |
$2^{16}\cdot 43^{3}\cdot 2777^{4}$ |
$3$ |
$29.3899807098$ |
$3463.714482798763$ |
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$9$ |
$256611.035822$ |
| 16.8.309...632.2 |
$x^{16} - 2 x^{15} - 8 x^{14} + 24 x^{13} - 35 x^{12} - 8 x^{11} + 154 x^{10} - 132 x^{9} + 198 x^{8} - 174 x^{7} - 422 x^{6} + 1034 x^{5} - 563 x^{4} - 704 x^{3} + 997 x^{2} - 376 x + 32$ |
$16$ |
[8,4] |
$2^{16}\cdot 43^{3}\cdot 2777^{4}$ |
$3$ |
$29.3899807098$ |
$3463.714482798763$ |
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$11$ |
$1865238.00953$ |
| 16.6.861...392.1 |
$x^{16} - 3 x^{15} - 8 x^{14} + 8 x^{13} + 62 x^{12} - 31 x^{11} - 441 x^{10} + 760 x^{9} + 1366 x^{8} - 2413 x^{7} + 298 x^{6} + 3368 x^{5} - 1982 x^{4} - 1441 x^{3} + 2375 x^{2} + 2168 x - 4231$ |
$16$ |
[6,5] |
$-\,2^{8}\cdot 19^{4}\cdot 47^{5}\cdot 103^{4}$ |
$4$ |
$31.3287657069$ |
$2670.9840751462266$ |
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$10$ |
$592334.249779$ |
| 16.6.861...392.2 |
$x^{16} - 6 x^{15} + 18 x^{14} - 10 x^{13} - 117 x^{12} + 425 x^{11} - 842 x^{10} + 822 x^{9} + 124 x^{8} - 1720 x^{7} + 3279 x^{6} - 3679 x^{5} + 2968 x^{4} - 1911 x^{3} + 404 x^{2} + 718 x - 337$ |
$16$ |
[6,5] |
$-\,2^{8}\cdot 19^{4}\cdot 47^{5}\cdot 103^{4}$ |
$4$ |
$31.3287657069$ |
$2670.9840751462266$ |
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$10$ |
$577083.670504$ |
| 16.2.486...568.1 |
$x^{16} - 12 x^{13} + 19 x^{12} + 70 x^{11} + 969 x^{10} - 2488 x^{9} + 4901 x^{8} - 1182 x^{7} + 7934 x^{6} - 664 x^{5} - 4937 x^{4} + 34400 x^{3} + 41639 x^{2} + 61340 x + 16941$ |
$16$ |
[2,7] |
$-\,2^{16}\cdot 19^{4}\cdot 47^{7}\cdot 103^{4}$ |
$4$ |
$71.6919700892$ |
|
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
$[8]$ |
$2$ |
$8$ |
$45635099.1575$ |
| 16.2.486...568.2 |
$x^{16} - 2 x^{15} - 27 x^{14} + 58 x^{13} + 148 x^{12} - 184 x^{11} - 197 x^{10} - 686 x^{9} - 3631 x^{8} + 13670 x^{7} - 4698 x^{6} - 56764 x^{5} + 19758 x^{4} - 35174 x^{3} - 399478 x^{2} + 326768 x - 486121$ |
$16$ |
[2,7] |
$-\,2^{16}\cdot 19^{4}\cdot 47^{7}\cdot 103^{4}$ |
$4$ |
$71.6919700892$ |
|
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
$[8]$ |
$2$ |
$8$ |
$46841097.0621$ |
| 16.4.955...912.1 |
$x^{16} - 8 x^{15} + 68 x^{14} - 314 x^{13} + 350 x^{12} - 688 x^{11} - 24472 x^{10} + 96314 x^{9} - 493772 x^{8} + 1212420 x^{7} - 2940785 x^{6} + 3210556 x^{5} - 532257 x^{4} - 11926574 x^{3} + 44670558 x^{2} - 47608916 x + 127676806$ |
$16$ |
[4,6] |
$2^{18}\cdot 43^{3}\cdot 2777^{6}$ |
$3$ |
$86.3525238721$ |
$18168.88370038063$ |
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
$[2, 4]$ |
$2$ |
$9$ |
$245987517.895$ |
| 16.0.955...912.1 |
$x^{16} - 4 x^{15} + 125 x^{14} - 242 x^{13} + 6009 x^{12} - 2806 x^{11} + 152163 x^{10} + 77764 x^{9} + 2270754 x^{8} + 2268820 x^{7} + 20419650 x^{6} + 23613418 x^{5} + 108544365 x^{4} + 144136500 x^{3} + 338502596 x^{2} + 272619382 x + 291449783$ |
$16$ |
[0,8] |
$2^{18}\cdot 43^{3}\cdot 2777^{6}$ |
$3$ |
$86.3525238721$ |
$18168.88370038063$ |
✓ |
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
$[2, 2, 2, 8750]$ |
$2$ |
$7$ |
$11805.8290435$ |
| 16.12.955...912.1 |
$x^{16} - 4 x^{15} - 33 x^{14} + 36 x^{13} - 884 x^{12} + 1210 x^{11} + 23694 x^{10} + 11150 x^{9} + 424406 x^{8} + 137390 x^{7} - 9744704 x^{6} - 388076 x^{5} + 60431975 x^{4} - 23851486 x^{3} - 124550684 x^{2} + 95251700 x + 9929702$ |
$16$ |
[12,2] |
$2^{18}\cdot 43^{3}\cdot 2777^{6}$ |
$3$ |
$86.3525238721$ |
|
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$13$ |
$12268128075.0$ |
| 16.16.955...912.1 |
$x^{16} - 4 x^{15} - 135 x^{14} + 304 x^{13} + 7374 x^{12} - 5946 x^{11} - 200122 x^{10} - 48966 x^{9} + 2748932 x^{8} + 2601138 x^{7} - 17524028 x^{6} - 23731020 x^{5} + 40126595 x^{4} + 53871346 x^{3} - 38914636 x^{2} - 32002336 x + 13923454$ |
$16$ |
[16,0] |
$2^{18}\cdot 43^{3}\cdot 2777^{6}$ |
$3$ |
$86.3525238721$ |
$18168.88370038063$ |
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$15$ |
$30868602831.4$ |
| 16.8.955...912.1 |
$x^{16} + 64 x^{14} - 660 x^{12} - 80233 x^{10} - 306573 x^{8} + 13200410 x^{6} + 34332051 x^{4} - 586188599 x^{2} + 331604347$ |
$16$ |
[8,4] |
$2^{18}\cdot 43^{3}\cdot 2777^{6}$ |
$3$ |
$86.3525238721$ |
|
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
$[2]$ |
$2$ |
$11$ |
$2328962124.85$ |
| 16.8.955...912.2 |
$x^{16} - 15 x^{14} - 1968 x^{12} + 43315 x^{10} + 355421 x^{8} - 8765459 x^{6} - 5762275 x^{4} + 175653581 x^{2} + 331604347$ |
$16$ |
[8,4] |
$2^{18}\cdot 43^{3}\cdot 2777^{6}$ |
$3$ |
$86.3525238721$ |
|
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
$[2]$ |
$2$ |
$11$ |
$2346380466.65$ |
| 16.0.955...912.2 |
$x^{16} + 126 x^{14} + 6340 x^{12} + 165147 x^{10} + 2439631 x^{8} + 21187266 x^{6} + 107133883 x^{4} + 291959895 x^{2} + 331604347$ |
$16$ |
[0,8] |
$2^{18}\cdot 43^{3}\cdot 2777^{6}$ |
$3$ |
$86.3525238721$ |
$18168.88370038063$ |
✓ |
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
$[2, 2, 2, 8736]$ |
$2$ |
$7$ |
$11805.8290435$ |
| 16.12.955...912.2 |
$x^{16} - 8 x^{15} - 30 x^{14} + 328 x^{13} - 487 x^{12} - 3066 x^{11} + 15756 x^{10} + 4348 x^{9} + 37618 x^{8} - 671848 x^{7} - 2244869 x^{6} + 11266314 x^{5} + 14512803 x^{4} - 58604724 x^{3} - 31353063 x^{2} + 94541772 x + 4936909$ |
$16$ |
[12,2] |
$2^{18}\cdot 43^{3}\cdot 2777^{6}$ |
$3$ |
$86.3525238721$ |
$18168.88370038063$ |
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$13$ |
$13281108306.2$ |
| 16.16.955...912.2 |
$x^{16} - 126 x^{14} + 6340 x^{12} - 165147 x^{10} + 2439631 x^{8} - 21187266 x^{6} + 107133883 x^{4} - 291959895 x^{2} + 331604347$ |
$16$ |
[16,0] |
$2^{18}\cdot 43^{3}\cdot 2777^{6}$ |
$3$ |
$86.3525238721$ |
$18168.88370038063$ |
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$15$ |
$33275947179.8$ |
| 16.4.955...912.2 |
$x^{16} - 4 x^{15} + 58 x^{14} - 64 x^{13} + 453 x^{12} + 480 x^{11} - 17804 x^{10} - 57284 x^{9} - 674365 x^{8} - 2238350 x^{7} - 10359495 x^{6} - 27435284 x^{5} - 69777623 x^{4} - 112360206 x^{3} - 124062282 x^{2} - 35452296 x + 177574518$ |
$16$ |
[4,6] |
$2^{18}\cdot 43^{3}\cdot 2777^{6}$ |
$3$ |
$86.3525238721$ |
|
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
$[2, 2]$ |
$2$ |
$9$ |
$606571721.326$ |
| 16.8.441...072.1 |
$x^{16} - 2 x^{15} - 229 x^{14} + 762 x^{13} + 9237 x^{12} - 49786 x^{11} + 477071 x^{10} - 2101004 x^{9} - 3133551 x^{8} + 22939648 x^{7} - 192051301 x^{6} + 441290118 x^{5} - 234692115 x^{4} + 4703434420 x^{3} + 5421674073 x^{2} + 22716955742 x + 46303919009$ |
$16$ |
[8,4] |
$2^{16}\cdot 43^{5}\cdot 2777^{6}$ |
$3$ |
$126.715529573$ |
$7095.14264337688$ |
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$11$ |
$72865649816.4$ |
| 16.8.441...072.2 |
$x^{16} - 2 x^{15} + 74 x^{14} - 486 x^{13} - 13321 x^{12} + 67060 x^{11} - 19517 x^{10} - 1180304 x^{9} + 21316716 x^{8} - 92177098 x^{7} + 112052559 x^{6} + 1277349736 x^{5} - 12672352007 x^{4} + 49162972512 x^{3} - 136172645947 x^{2} + 210610630800 x - 87383479324$ |
$16$ |
[8,4] |
$2^{16}\cdot 43^{5}\cdot 2777^{6}$ |
$3$ |
$126.71552957315797$ |
$7095.14264337688$ |
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$11$ |
$217790794523.84253$ |
| 16.8.441...072.3 |
$x^{16} - 2 x^{15} + 119 x^{14} - 278 x^{13} - 2229 x^{12} + 9930 x^{11} - 540031 x^{10} + 640466 x^{9} + 1970702 x^{8} - 8539532 x^{7} + 512526144 x^{6} + 744120792 x^{5} - 5160994067 x^{4} - 7917380238 x^{3} - 3097527027 x^{2} + 4948526682 x + 29688781582$ |
$16$ |
[8,4] |
$2^{16}\cdot 43^{5}\cdot 2777^{6}$ |
$3$ |
$126.71552957315797$ |
$9201.26162582226$ |
|
|
? |
$C_2^7.C_2\wr S_4$ (as 16T1851) |
trivial |
$2$ |
$11$ |
$245091460649.24152$ |
