| 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 |
| 12.10.104424406621339.1 |
$x^{12} - 6 x^{11} + 10 x^{10} + 3 x^{9} - 29 x^{8} + 35 x^{7} + 7 x^{6} - 49 x^{5} + 19 x^{4} + 18 x^{3} - 9 x^{2} - 2 x + 1$ |
$12$ |
[10,1] |
$-\,7^{8}\cdot 211\cdot 293^{2}$ |
$3$ |
$14.7310431397$ |
$909.8582370829874$ |
|
|
? |
$D_4\wr C_3$ (as 12T222) |
trivial |
$2$ |
$10$ |
$472.433573993$ |
| 12.10.115472708921875.1 |
$x^{12} - 10 x^{10} - 2 x^{9} + 33 x^{8} + 12 x^{7} - 43 x^{6} - 23 x^{5} + 19 x^{4} + 17 x^{3} - 4 x - 1$ |
$12$ |
[10,1] |
$-\,5^{6}\cdot 7390253371$ |
$2$ |
$14.8550213226$ |
$192227.12309921303$ |
|
|
? |
$S_6\wr C_2$ (as 12T299) |
trivial |
$2$ |
$10$ |
$501.307323884$ |
| 12.10.115555016421875.1 |
$x^{12} - x^{11} - 9 x^{10} + 10 x^{9} + 26 x^{8} - 33 x^{7} - 22 x^{6} + 41 x^{5} - 13 x^{4} - 12 x^{3} + 19 x^{2} - 5 x - 1$ |
$12$ |
[10,1] |
$-\,5^{6}\cdot 491\cdot 3881^{2}$ |
$3$ |
$14.8559034073$ |
$3086.722371707569$ |
|
|
? |
$S_4^2:D_4$ (as 12T260) |
trivial |
$2$ |
$10$ |
$499.039287281$ |
| 12.10.118319190921875.1 |
$x^{12} - 9 x^{10} - 3 x^{9} + 27 x^{8} + 21 x^{7} - 36 x^{6} - 42 x^{5} + 18 x^{4} + 29 x^{3} + x^{2} - 5 x - 1$ |
$12$ |
[10,1] |
$-\,5^{6}\cdot 59\cdot 11329^{2}$ |
$3$ |
$14.8851974293$ |
$1828.1288247823236$ |
|
|
? |
$S_4^2:D_4$ (as 12T260) |
trivial |
$2$ |
$10$ |
$509.452525783$ |
| 12.10.119171067348991.1 |
$x^{12} - 11 x^{10} - 4 x^{9} + 37 x^{8} + 20 x^{7} - 54 x^{6} - 27 x^{5} + 35 x^{4} + 13 x^{3} - 10 x^{2} - 2 x + 1$ |
$12$ |
[10,1] |
$-\,7^{8}\cdot 181^{2}\cdot 631$ |
$3$ |
$14.8940989834$ |
$1236.6666823397975$ |
|
|
? |
$D_4\wr C_3$ (as 12T222) |
trivial |
$2$ |
$10$ |
$511.426846935$ |
| 12.10.137691709155347.1 |
$x^{12} - 2 x^{11} - 8 x^{10} + 19 x^{9} + 21 x^{8} - 58 x^{7} - 27 x^{6} + 69 x^{5} + 26 x^{4} - 30 x^{3} - 13 x^{2} + 2 x + 1$ |
$12$ |
[10,1] |
$-\,107\cdot 1134389^{2}$ |
$2$ |
$15.0744791665$ |
$11017.242077761566$ |
|
|
? |
$C_2^6.S_6$ (as 12T293) |
trivial |
$2$ |
$10$ |
$558.969108553$ |
| 12.10.168600935531327.1 |
$x^{12} - 4 x^{11} - x^{10} + 23 x^{9} - 26 x^{8} - 23 x^{7} + 56 x^{6} - 6 x^{5} - 39 x^{4} + 11 x^{3} + 10 x^{2} - 2 x - 1$ |
$12$ |
[10,1] |
$-\,13^{10}\cdot 1223$ |
$2$ |
$15.3310417034$ |
$296.4826989263967$ |
|
|
? |
$C_2\wr C_6$ (as 12T134) |
trivial |
$2$ |
$10$ |
$617.18540505$ |
| 12.10.172770619021119.1 |
$x^{12} - x^{11} - 10 x^{10} + 7 x^{9} + 33 x^{8} - 12 x^{7} - 50 x^{6} + x^{5} + 38 x^{4} + 7 x^{3} - 12 x^{2} - 2 x + 1$ |
$12$ |
[10,1] |
$-\,3^{6}\cdot 7^{10}\cdot 839$ |
$3$ |
$15.3622852214$ |
$253.91594535376217$ |
|
|
? |
$C_2\wr C_6$ (as 12T134) |
trivial |
$2$ |
$10$ |
$629.155687023$ |
| 12.10.173022521421875.1 |
$x^{12} - 2 x^{11} - 6 x^{10} + 13 x^{9} + 10 x^{8} - 30 x^{7} + 2 x^{6} + 30 x^{5} - 16 x^{4} - 13 x^{3} + 9 x^{2} + 2 x - 1$ |
$12$ |
[10,1] |
$-\,5^{6}\cdot 6679\cdot 1657949$ |
$3$ |
$15.3641505139$ |
$235302.37324557523$ |
|
|
✓ |
$S_6\wr C_2$ (as 12T299) |
trivial |
$2$ |
$10$ |
$648.171885659$ |
| 12.10.174247057020339.1 |
$x^{12} - 9 x^{10} - 3 x^{9} + 24 x^{8} + 18 x^{7} - 15 x^{6} - 30 x^{5} - 6 x^{4} + 17 x^{3} + 6 x^{2} - 3 x - 1$ |
$12$ |
[10,1] |
$-\,3^{16}\cdot 199\cdot 20341$ |
$3$ |
$15.3731826693$ |
$8705.111958789244$ |
|
|
? |
$S_4\wr C_3$ (as 12T292) |
trivial |
$2$ |
$10$ |
$638.845680198$ |
| 12.10.212024878470419.1 |
$x^{12} - x^{11} - 10 x^{10} + 9 x^{9} + 32 x^{8} - 32 x^{7} - 40 x^{6} + 47 x^{5} + 18 x^{4} - 27 x^{3} + 5 x - 1$ |
$12$ |
[10,1] |
$-\,7^{8}\cdot 36779219$ |
$2$ |
$15.6266386113$ |
$22192.178899824215$ |
|
|
✓ |
$S_4\wr C_3$ (as 12T292) |
trivial |
$2$ |
$10$ |
$723.415442933$ |
| 12.10.248331672071147.1 |
$x^{12} - 10 x^{10} - 2 x^{9} + 31 x^{8} + 6 x^{7} - 35 x^{6} - x^{5} + 10 x^{4} - 5 x^{3} + 3 x^{2} + 2 x - 1$ |
$12$ |
[10,1] |
$-\,7\cdot 101\cdot 592661^{2}$ |
$3$ |
$15.8338311511$ |
$20469.766168669343$ |
|
|
? |
$C_2^6.S_6$ (as 12T293) |
trivial |
$2$ |
$10$ |
$828.20106795$ |
| 12.10.385228876000000.1 |
$x^{12} - 3 x^{11} - 6 x^{10} + 20 x^{9} + 7 x^{8} - 42 x^{7} + 21 x^{6} + 26 x^{5} - 53 x^{4} + 10 x^{3} + 30 x^{2} - 11 x + 1$ |
$12$ |
[10,1] |
$-\,2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 739$ |
$4$ |
$16.4239104896$ |
$687.0625640133818$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$10$ |
$1014.02867971$ |
| 12.10.396348306546875.1 |
$x^{12} - 3 x^{11} - 7 x^{10} + 23 x^{9} + 16 x^{8} - 60 x^{7} - 14 x^{6} + 65 x^{5} + 7 x^{4} - 31 x^{3} - 4 x^{2} + 5 x + 1$ |
$12$ |
[10,1] |
$-\,5^{6}\cdot 29^{3}\cdot 1040071$ |
$3$ |
$16.4629029215$ |
$12280.484314553722$ |
|
|
? |
$S_3\wr D_4$ (as 12T274) |
trivial |
$2$ |
$10$ |
$1024.6915106$ |
| 12.10.438643405484375.1 |
$x^{12} - 2 x^{11} - 8 x^{10} + 17 x^{9} + 17 x^{8} - 47 x^{7} - 5 x^{6} + 58 x^{5} - 13 x^{4} - 31 x^{3} + 8 x^{2} + 5 x - 1$ |
$12$ |
[10,1] |
$-\,5^{6}\cdot 7^{2}\cdot 13^{2}\cdot 29^{3}\cdot 139$ |
$5$ |
$16.6025947363$ |
$1354.291327595359$ |
|
|
? |
$S_3\wr D_4$ (as 12T274) |
trivial |
$2$ |
$10$ |
$1118.24875093$ |
| 12.10.492092096000000.1 |
$x^{12} - 4 x^{11} - x^{10} + 20 x^{9} - 20 x^{8} - 16 x^{7} + 41 x^{6} - 8 x^{5} - 30 x^{4} + 10 x^{3} + 9 x^{2} - 2 x - 1$ |
$12$ |
[10,1] |
$-\,2^{12}\cdot 5^{6}\cdot 19^{4}\cdot 59$ |
$4$ |
$16.7624385636$ |
$299.39450122576613$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$10$ |
$1352.48458763$ |
| 12.10.564668382613504.1 |
$x^{12} - 4 x^{10} - 2 x^{8} + 22 x^{6} - 24 x^{4} + 9 x^{2} - 1$ |
$12$ |
[10,1] |
$-\,2^{12}\cdot 13^{10}$ |
$2$ |
$16.9557155647$ |
$33.18477908865881$ |
|
|
✓ |
$C_2\wr C_6$ (as 12T134) |
trivial |
$2$ |
$10$ |
$1229.06437826$ |
| 12.10.650158784000000.1 |
$x^{12} - 4 x^{11} + 18 x^{9} - 21 x^{8} - 14 x^{7} + 54 x^{6} - 34 x^{5} - 47 x^{4} + 50 x^{3} + 14 x^{2} - 12 x - 1$ |
$12$ |
[10,1] |
$-\,2^{12}\cdot 5^{6}\cdot 11\cdot 31^{4}$ |
$4$ |
$17.156088828575655$ |
$164.29492012238347$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$10$ |
$1643.7263230177932$ |
| 12.10.652184962479099.1 |
$x^{12} - 2 x^{11} - 6 x^{10} + 22 x^{9} - 12 x^{8} - 46 x^{7} + 60 x^{6} + 37 x^{5} - 67 x^{4} - 15 x^{3} + 27 x^{2} + 3 x - 3$ |
$12$ |
[10,1] |
$-\,3^{3}\cdot 7^{2}\cdot 113\cdot 257^{4}$ |
$4$ |
$17.1605379654$ |
$1027.7695449636378$ |
|
|
? |
$C_2\wr (C_2\times S_4)$ (as 12T250) |
trivial |
$2$ |
$10$ |
$1755.91335379$ |
| 12.10.704117429874688.1 |
$x^{12} - 4 x^{11} - 3 x^{10} + 28 x^{9} - 20 x^{8} - 32 x^{7} + 35 x^{6} - 8 x^{5} - 6 x^{4} + 26 x^{3} - 7 x^{2} - 10 x + 1$ |
$12$ |
[10,1] |
$-\,2^{12}\cdot 37^{6}\cdot 67$ |
$3$ |
$17.2704541438$ |
$111.77377657911342$ |
|
|
? |
$C_2\wr S_3$ (as 12T135) |
trivial |
$2$ |
$10$ |
$1672.24437173$ |
| 12.10.809662500831232.1 |
$x^{12} - 6 x^{11} + 5 x^{10} + 30 x^{9} - 58 x^{8} - 6 x^{7} + 67 x^{6} - 34 x^{5} + 28 x^{4} - 50 x^{3} + 27 x^{2} - 2 x - 1$ |
$12$ |
[10,1] |
$-\,2^{22}\cdot 37^{4}\cdot 103$ |
$3$ |
$17.4726456262$ |
$219.99246185359732$ |
|
|
? |
$C_2\wr D_6$ (as 12T193) |
trivial |
$2$ |
$10$ |
$1825.69372847$ |
| 12.10.821483713801107.1 |
$x^{12} - 12 x^{10} - 3 x^{9} + 50 x^{8} + 28 x^{7} - 96 x^{6} - 71 x^{5} + 81 x^{4} + 65 x^{3} - 22 x^{2} - 19 x - 1$ |
$12$ |
[10,1] |
$-\,3^{2}\cdot 7^{3}\cdot 61\cdot 257^{4}$ |
$4$ |
$17.4937633199$ |
$933.2879027260299$ |
|
|
? |
$C_2\wr (C_2\times S_4)$ (as 12T250) |
trivial |
$2$ |
$10$ |
$1705.42316704$ |
| 12.10.1042033516000000.1 |
$x^{12} - 3 x^{11} - 3 x^{10} + 5 x^{9} + 7 x^{8} + 28 x^{7} - 3 x^{6} - 62 x^{5} - 5 x^{4} + 37 x^{3} + 4 x^{2} - 6 x - 1$ |
$12$ |
[10,1] |
$-\,2^{8}\cdot 5^{6}\cdot 37^{4}\cdot 139$ |
$4$ |
$17.8439147886$ |
$254.55400133585275$ |
|
|
? |
$C_2\wr D_6$ (as 12T193) |
trivial |
$2$ |
$10$ |
$1767.3183208$ |
| 12.10.1087609273238272.1 |
$x^{12} - x^{11} - 8 x^{10} + 6 x^{9} + 21 x^{8} - 4 x^{7} - 27 x^{6} - 14 x^{5} + 17 x^{4} + 18 x^{3} - 2 x^{2} - 5 x - 1$ |
$12$ |
[10,1] |
$-\,2^{8}\cdot 37^{4}\cdot 317\cdot 7151$ |
$4$ |
$17.9076834348$ |
$14537.862131183218$ |
|
|
✓ |
$A_4^3.(C_2\times S_4)$ (as 12T294) |
trivial |
$2$ |
$10$ |
$1913.98617228$ |
| 12.10.1100183484179200.1 |
$x^{12} - x^{11} - 12 x^{10} + 10 x^{9} + 59 x^{8} - 46 x^{7} - 141 x^{6} + 114 x^{5} + 149 x^{4} - 130 x^{3} - 42 x^{2} + 39 x - 1$ |
$12$ |
[10,1] |
$-\,2^{8}\cdot 5^{2}\cdot 37^{6}\cdot 67$ |
$4$ |
$17.9248457363$ |
$176.72985833439097$ |
|
|
? |
$C_2\wr S_3$ (as 12T135) |
trivial |
$2$ |
$10$ |
$1821.05154068$ |
| 12.10.2132354108301979.1 |
$x^{12} - 4 x^{11} - 4 x^{10} + 29 x^{9} - 3 x^{8} - 71 x^{7} + 24 x^{6} + 67 x^{5} - 20 x^{4} - 23 x^{3} + 5 x^{2} + x - 1$ |
$12$ |
[10,1] |
$-\,19^{3}\cdot 103^{3}\cdot 293\cdot 971$ |
$4$ |
$18.9410889651$ |
$23596.024474474507$ |
|
|
✓ |
$S_3\wr S_4$ (as 12T289) |
trivial |
$2$ |
$10$ |
$3575.10112903$ |
| 12.10.2400465930944512.1 |
$x^{12} - 2 x^{11} - 9 x^{10} + 16 x^{9} + 30 x^{8} - 44 x^{7} - 44 x^{6} + 50 x^{5} + 24 x^{4} - 24 x^{3} - 2 x^{2} + 4 x - 1$ |
$12$ |
[10,1] |
$-\,2^{18}\cdot 41^{3}\cdot 132863$ |
$3$ |
$19.128957204122404$ |
$6601.444084440919$ |
|
|
✓ |
$S_3\wr D_4$ (as 12T274) |
trivial |
$2$ |
$10$ |
$2971.0853091765143$ |
| 12.10.2647588864000000.1 |
$x^{12} - 6 x^{11} + 5 x^{10} + 30 x^{9} - 54 x^{8} - 30 x^{7} + 103 x^{6} - 2 x^{5} - 82 x^{4} + 6 x^{3} + 27 x^{2} + 2 x - 1$ |
$12$ |
[10,1] |
$-\,2^{22}\cdot 5^{6}\cdot 71\cdot 569$ |
$4$ |
$19.2857949733$ |
$1601.616871770066$ |
|
|
? |
$S_3\wr C_2^2$ (as 12T261) |
trivial |
$2$ |
$10$ |
$3673.75240644$ |
| 12.10.2918880929197399.1 |
$x^{12} - 4 x^{11} + 24 x^{9} - 30 x^{8} - 48 x^{7} + 87 x^{6} + 34 x^{5} - 79 x^{4} - 5 x^{3} + 22 x^{2} - 2 x - 1$ |
$12$ |
[10,1] |
$-\,19^{4}\cdot 103^{4}\cdot 199$ |
$3$ |
$19.4432128971$ |
$624.053683588199$ |
|
|
? |
$C_2\wr S_4$ (as 12T227) |
trivial |
$2$ |
$10$ |
$3285.12955057$ |
| 12.10.3329577743355827.1 |
$x^{12} - 4 x^{11} - 5 x^{10} + 32 x^{9} + 2 x^{8} - 90 x^{7} + 18 x^{6} + 105 x^{5} - 25 x^{4} - 37 x^{3} + 10 x^{2} - 7 x - 1$ |
$12$ |
[10,1] |
$-\,19^{4}\cdot 103^{4}\cdot 227$ |
$3$ |
$19.6576876456$ |
$666.5125655229615$ |
|
|
? |
$C_2\wr S_4$ (as 12T227) |
trivial |
$2$ |
$10$ |
$3577.57816226$ |
| 12.10.4528333294697216.1 |
$x^{12} - 3 x^{11} - 6 x^{10} + 24 x^{9} + 5 x^{8} - 66 x^{7} + 25 x^{6} + 72 x^{5} - 47 x^{4} - 26 x^{3} + 22 x^{2} - x - 1$ |
$12$ |
[10,1] |
$-\,2^{8}\cdot 37^{4}\cdot 9438251$ |
$3$ |
$20.1679396002$ |
$29664.244168236597$ |
|
|
✓ |
$A_4^3.(C_2\times S_4)$ (as 12T294) |
trivial |
$2$ |
$10$ |
$4277.98681423$ |
| 12.10.6065138113068939.1 |
$x^{12} - 4 x^{11} - 6 x^{10} + 34 x^{9} + 10 x^{8} - 106 x^{7} - x^{6} + 145 x^{5} - 9 x^{4} - 81 x^{3} + 6 x^{2} + 15 x - 1$ |
$12$ |
[10,1] |
$-\,3\cdot 19^{3}\cdot 103^{3}\cdot 269741$ |
$4$ |
$20.6650625696$ |
$39795.09280049489$ |
|
|
? |
$S_3\wr S_4$ (as 12T289) |
trivial |
$2$ |
$10$ |
$8164.89433657$ |
| 12.10.6189907940737024.1 |
$x^{12} - 8 x^{10} + 16 x^{8} + 10 x^{6} - 51 x^{4} + 34 x^{2} - 1$ |
$12$ |
[10,1] |
$-\,2^{30}\cdot 7^{8}$ |
$2$ |
$20.7001590559$ |
$37.55530860043468$ |
|
|
? |
$C_2\wr C_6$ (as 12T134) |
trivial |
$2$ |
$10$ |
$5680.85896404$ |
| 12.10.7340688973975552.1 |
$x^{12} - 13 x^{10} + 52 x^{8} - 78 x^{6} + 26 x^{4} + 26 x^{2} - 13$ |
$12$ |
[10,1] |
$-\,2^{12}\cdot 13^{11}$ |
$2$ |
$20.9963950402$ |
$41.092971181713175$ |
|
|
? |
$C_2\wr C_6$ (as 12T134) |
trivial |
$2$ |
$10$ |
$5158.99595161$ |
| 12.10.7770704775363639.1 |
$x^{12} - 2 x^{11} - 10 x^{10} + 20 x^{9} + 35 x^{8} - 71 x^{7} - 49 x^{6} + 105 x^{5} + 22 x^{4} - 57 x^{3} - 2 x^{2} + 8 x - 1$ |
$12$ |
[10,1] |
$-\,3^{2}\cdot 401\cdot 2153146238671$ |
$3$ |
$21.096238863$ |
$50894350.62088142$ |
|
|
✓ |
$S_{12}$ (as 12T301) |
trivial |
$2$ |
$10$ |
$6250.10464792$ |
| 12.10.11517353618919691.1 |
$x^{12} - 3 x^{11} - 9 x^{10} + 28 x^{9} + 33 x^{8} - 97 x^{7} - 65 x^{6} + 149 x^{5} + 72 x^{4} - 91 x^{3} - 37 x^{2} + 11 x + 3$ |
$12$ |
[10,1] |
$-\,2539073\cdot 4536046667$ |
$2$ |
$21.7994761989$ |
$107318934.11192496$ |
|
|
✓ |
$S_{12}$ (as 12T301) |
trivial |
$2$ |
$10$ |
$10793.7489229$ |
| 12.10.19499511680335872.1 |
$x^{12} - 6 x^{10} + 3 x^{8} + 24 x^{6} - 36 x^{4} + 18 x^{2} - 3$ |
$12$ |
[10,1] |
$-\,2^{24}\cdot 3^{19}$ |
$2$ |
$22.7772861561$ |
$37.485843468851996$ |
|
|
✓ |
$C_2\wr C_6$ (as 12T134) |
trivial |
$2$ |
$10$ |
$11840.52462$ |
| 12.10.19499511680335872.2 |
$x^{12} - 6 x^{10} + 3 x^{8} + 42 x^{6} - 90 x^{4} + 54 x^{2} - 3$ |
$12$ |
[10,1] |
$-\,2^{24}\cdot 3^{19}$ |
$2$ |
$22.7772861561$ |
$40.87860216826255$ |
|
|
? |
$C_2\wr C_6$ (as 12T134) |
trivial |
$2$ |
$10$ |
$12318.0266888$ |
| 12.10.33174037869887488.1 |
$x^{12} - 14 x^{10} + 63 x^{8} - 112 x^{6} + 63 x^{4} + 14 x^{2} - 7$ |
$12$ |
[10,1] |
$-\,2^{24}\cdot 7^{11}$ |
$2$ |
$23.8085636$ |
$38.343461495464894$ |
|
|
? |
$C_2\wr C_6$ (as 12T134) |
trivial |
$2$ |
$10$ |
$13598.7736021$ |
| 12.10.33174037869887488.2 |
$x^{12} - 28 x^{8} + 84 x^{6} - 91 x^{4} + 42 x^{2} - 7$ |
$12$ |
[10,1] |
$-\,2^{24}\cdot 7^{11}$ |
$2$ |
$23.8085636$ |
$42.72944515578216$ |
|
|
✓ |
$C_2\wr C_6$ (as 12T134) |
trivial |
$2$ |
$10$ |
$12662.2770773$ |
| 12.10.36138776487264256.1 |
$x^{12} - 8 x^{10} - 8 x^{8} + 176 x^{6} - 384 x^{4} + 288 x^{2} - 64$ |
$12$ |
[10,1] |
$-\,2^{18}\cdot 13^{10}$ |
$2$ |
$23.9790029114$ |
$46.930364651536365$ |
|
|
? |
$C_2\wr C_6$ (as 12T134) |
trivial |
$2$ |
$10$ |
$12290.1653513$ |
| 12.10.41535037171276187.1 |
$x^{12} - x^{11} - 16 x^{10} + 12 x^{9} + 71 x^{8} - 58 x^{7} - 78 x^{6} + 190 x^{5} + 114 x^{4} - 89 x^{3} - 36 x^{2} + 2 x + 1$ |
$12$ |
[10,1] |
$-\,7^{10}\cdot 11^{6}\cdot 83$ |
$3$ |
$24.25872010234208$ |
$152.92685438717692$ |
|
|
? |
$C_2\wr C_6$ (as 12T134) |
trivial |
$2$ |
$10$ |
$15201.39437264219$ |
| 12.10.43329355585159168.1 |
$x^{12} - 8 x^{10} + 12 x^{8} + 22 x^{6} - 63 x^{4} + 42 x^{2} - 7$ |
$12$ |
[10,1] |
$-\,2^{30}\cdot 7^{9}$ |
$2$ |
$24.3443688289$ |
$46.108551370852055$ |
|
|
? |
$C_2\wr C_6$ (as 12T134) |
trivial |
$2$ |
$10$ |
$14542.0276863$ |
| 12.10.43329355585159168.2 |
$x^{12} - 10 x^{10} + 31 x^{8} - 22 x^{6} - 42 x^{4} + 56 x^{2} - 7$ |
$12$ |
[10,1] |
$-\,2^{30}\cdot 7^{9}$ |
$2$ |
$24.3443688289$ |
$47.11819717444558$ |
|
|
? |
$C_2\wr C_6$ (as 12T134) |
trivial |
$2$ |
$10$ |
$17855.9665444$ |
| 12.10.44644157912109375.1 |
$x^{12} - 12 x^{10} + 54 x^{8} - 118 x^{6} + 141 x^{4} - 15 x^{3} - 90 x^{2} + 45 x - 5$ |
$12$ |
[10,1] |
$-\,3^{18}\cdot 5^{9}\cdot 59$ |
$3$ |
$24.4050884678$ |
$214.53536635791005$ |
|
|
✓ |
$S_3\wr C_4$ (as 12T264) |
trivial |
$2$ |
$10$ |
$17224.0431389$ |
| 12.10.46221064723759104.1 |
$x^{12} - 6 x^{10} - 3 x^{8} + 38 x^{6} - 42 x^{4} + 12 x^{2} - 1$ |
$12$ |
[10,1] |
$-\,2^{30}\cdot 3^{16}$ |
$2$ |
$24.4757868319$ |
$44.40524950679703$ |
|
|
? |
$C_2\wr C_6$ (as 12T134) |
trivial |
$2$ |
$10$ |
$14267.5282068$ |
| 12.10.49519263525896192.1 |
$x^{12} - 12 x^{10} + 50 x^{8} - 80 x^{6} + 24 x^{4} + 32 x^{2} - 8$ |
$12$ |
[10,1] |
$-\,2^{33}\cdot 7^{8}$ |
$2$ |
$24.616776431$ |
$44.6610401937598$ |
|
|
? |
$C_2\wr C_6$ (as 12T134) |
trivial |
$2$ |
$10$ |
$17531.5066958$ |
| 12.10.51998697814228992.1 |
$x^{12} - 12 x^{10} + 48 x^{8} - 68 x^{6} + 12 x^{4} + 24 x^{2} - 8$ |
$12$ |
[10,1] |
$-\,2^{27}\cdot 3^{18}$ |
$2$ |
$24.7172057269$ |
$46.8286243021009$ |
|
|
? |
$C_2\wr C_6$ (as 12T134) |
trivial |
$2$ |
$10$ |
$28644.4376136$ |
| 12.10.51998697814228992.2 |
$x^{12} - 6 x^{10} - 6 x^{8} + 68 x^{6} - 96 x^{4} + 48 x^{2} - 8$ |
$12$ |
[10,1] |
$-\,2^{27}\cdot 3^{18}$ |
$2$ |
$24.7172057269$ |
$46.8286243021009$ |
|
|
? |
$C_2\wr C_6$ (as 12T134) |
trivial |
$2$ |
$10$ |
$15303.1842468$ |
| 12.10.66270093164000000.1 |
$x^{12} - 3 x^{11} - 8 x^{10} + 38 x^{9} + 3 x^{8} - 134 x^{7} + 17 x^{6} + 178 x^{5} + 5 x^{4} - 80 x^{3} - 22 x^{2} + 3 x + 1$ |
$12$ |
[10,1] |
$-\,2^{8}\cdot 5^{6}\cdot 11\cdot 197^{4}$ |
$4$ |
$25.2218225059$ |
$165.23464876115392$ |
|
|
? |
$C_2\wr S_3^2$ (as 12T240) |
trivial |
$2$ |
$10$ |
$25008.5462475$ |
