| 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 |
| 12.0.46911328256.1 |
$x^{12} - 2 x^{9} + 4 x^{8} - 4 x^{7} + x^{6} + 4 x^{4} - 8 x^{3} + 8 x^{2} - 4 x + 1$ |
$12$ |
[0,6] |
$2^{12}\cdot 13^{4}\cdot 401$ |
$3$ |
$7.74949039193$ |
$221.4272587292568$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$4$ |
$5$ |
$2.52000020832$ |
| 12.0.69637938597.1 |
$x^{12} - 2 x^{11} + 3 x^{10} - 2 x^{9} + 4 x^{6} - 11 x^{5} + 17 x^{4} - 16 x^{3} + 11 x^{2} - 5 x + 1$ |
$12$ |
[0,6] |
$3^{6}\cdot 19^{4}\cdot 733$ |
$3$ |
$8.00885613193$ |
$333.8989207608368$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$6$ |
$5$ |
$4.89240598709$ |
| 12.0.3833392529408.3 |
$x^{12} - 2 x^{10} - 2 x^{8} + 4 x^{6} + 8 x^{4} - 16 x^{2} + 8$ |
$12$ |
[0,6] |
$2^{27}\cdot 13^{4}$ |
$2$ |
$11.1848957616$ |
$49.826274816208034$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$4$ |
$5$ |
$34.8950050101$ |
| 12.0.3833392529408.4 |
$x^{12} - 2 x^{10} + 6 x^{8} - 4 x^{6} + 8 x^{4} + 8$ |
$12$ |
[0,6] |
$2^{27}\cdot 13^{4}$ |
$2$ |
$11.1848957616$ |
$49.826274816208034$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$4$ |
$5$ |
$32.0046070602$ |
| 12.0.6229262860288.3 |
$x^{12} - 6 x^{10} + 15 x^{8} - 22 x^{6} + 26 x^{4} - 26 x^{2} + 13$ |
$12$ |
[0,6] |
$2^{24}\cdot 13^{5}$ |
$2$ |
$11.6467044488$ |
$60.8611531943079$ |
|
|
✓ |
$A_4^2:D_4$ (as 12T208) |
trivial |
$4$ |
$5$ |
$42.4517597619$ |
| 12.0.6229262860288.4 |
$x^{12} - 4 x^{10} + 11 x^{8} - 20 x^{6} + 26 x^{4} - 26 x^{2} + 13$ |
$12$ |
[0,6] |
$2^{24}\cdot 13^{5}$ |
$2$ |
$11.6467044488$ |
$55.80992355327924$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$4$ |
$5$ |
$43.9668917357$ |
| 12.4.15117236000000.1 |
$x^{12} - x^{11} + 2 x^{9} - 5 x^{8} + 6 x^{7} - 7 x^{6} + 6 x^{5} - 5 x^{4} + 2 x^{3} - x + 1$ |
$12$ |
[4,4] |
$2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 29$ |
$4$ |
$12.5397640864$ |
$136.10468210705423$ |
|
|
✓ |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$7$ |
$60.6034943366$ |
| 12.0.21134460321792.1 |
$x^{12} - 4 x^{10} + 8 x^{8} - 10 x^{6} + 9 x^{4} - 6 x^{2} + 3$ |
$12$ |
[0,6] |
$2^{30}\cdot 3^{9}$ |
$2$ |
$12.8948391819$ |
$53.32790513652352$ |
|
|
✓ |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$5$ |
$62.5997745707$ |
| 12.0.21134460321792.4 |
$x^{12} + 4 x^{10} + 8 x^{8} + 10 x^{6} + 9 x^{4} + 6 x^{2} + 3$ |
$12$ |
[0,6] |
$2^{30}\cdot 3^{9}$ |
$2$ |
$12.8948391819$ |
$53.32790513652352$ |
|
|
✓ |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$5$ |
$53.2008743976$ |
| 12.6.30755756000000.1 |
$x^{12} - x^{11} - 6 x^{10} + 12 x^{9} - x^{8} - 26 x^{7} + 41 x^{6} - 26 x^{5} - x^{4} + 12 x^{3} - 6 x^{2} - x + 1$ |
$12$ |
[6,3] |
$-\,2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 59$ |
$4$ |
$13.3043563047$ |
$194.13331581729184$ |
|
|
✓ |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$8$ |
$127.148219868$ |
| 12.4.31798324000000.1 |
$x^{12} - 3 x^{11} + 2 x^{10} + 2 x^{9} - 9 x^{8} + 16 x^{7} - 19 x^{6} + 16 x^{5} - 9 x^{4} + 2 x^{3} + 2 x^{2} - 3 x + 1$ |
$12$ |
[4,4] |
$2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 61$ |
$4$ |
$13.3413676581$ |
$197.39628913634618$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$7$ |
$91.3485453511$ |
| 12.2.37011164000000.1 |
$x^{12} - 4 x^{11} + 5 x^{10} - 6 x^{9} + 8 x^{8} - 8 x^{7} + 7 x^{6} - 8 x^{5} + 8 x^{4} - 6 x^{3} + 5 x^{2} - 4 x + 1$ |
$12$ |
[2,5] |
$-\,2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 71$ |
$4$ |
$13.5112147039$ |
$212.9625512565954$ |
|
|
|
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$6$ |
$100.776451943$ |
| 12.6.40634924000000.1 |
$x^{12} - 3 x^{11} + 2 x^{10} - 7 x^{8} + 6 x^{7} - 11 x^{6} + 8 x^{5} + 21 x^{4} - 18 x^{3} - 6 x^{2} + 7 x - 1$ |
$12$ |
[6,3] |
$-\,2^{8}\cdot 5^{6}\cdot 11\cdot 31^{4}$ |
$4$ |
$13.6167967271$ |
$116.17405213303951$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$8$ |
$164.286322613$ |
| 12.4.46394276000000.1 |
$x^{12} - 3 x^{10} - 6 x^{9} - 12 x^{8} - 16 x^{7} - 17 x^{6} - 16 x^{5} - 12 x^{4} - 6 x^{3} - 3 x^{2} + 1$ |
$12$ |
[4,4] |
$2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 89$ |
$4$ |
$13.7680372867$ |
$238.4344860312167$ |
|
|
|
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$7$ |
$171.57790511$ |
| 12.0.49834102882304.3 |
$x^{12} - 10 x^{10} + 46 x^{8} - 124 x^{6} + 208 x^{4} - 208 x^{2} + 104$ |
$12$ |
[0,6] |
$2^{27}\cdot 13^{5}$ |
$2$ |
$13.8503437968$ |
$76.40392057046596$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$4$ |
$5$ |
$112.929134945$ |
| 12.0.49834102882304.6 |
$x^{12} - 2 x^{10} + 6 x^{8} + 4 x^{6} + 104$ |
$12$ |
[0,6] |
$2^{27}\cdot 13^{5}$ |
$2$ |
$13.8503437968$ |
$76.40392057046596$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$4$ |
$5$ |
$115.500745079$ |
| 12.8.52649684000000.1 |
$x^{12} - 8 x^{10} - 3 x^{9} + 21 x^{8} + 14 x^{7} - 21 x^{6} - 18 x^{5} + 5 x^{4} + 3 x^{3} + x^{2} + 3 x + 1$ |
$12$ |
[8,2] |
$2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 101$ |
$4$ |
$13.9139246589$ |
$254.00060640965427$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$9$ |
$238.420109994$ |
| 12.0.56358560858112.3 |
$x^{12} - 4 x^{10} + 6 x^{8} - 8 x^{4} + 8$ |
$12$ |
[0,6] |
$2^{33}\cdot 3^{8}$ |
$2$ |
$13.9930802419$ |
$52.80703865695409$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$5$ |
$127.61233272$ |
| 12.0.56358560858112.4 |
$x^{12} + 4 x^{10} + 6 x^{8} - 8 x^{4} + 8$ |
$12$ |
[0,6] |
$2^{33}\cdot 3^{8}$ |
$2$ |
$13.9930802419$ |
$52.80703865695409$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$5$ |
$79.4909904405$ |
| 12.8.56819956000000.1 |
$x^{12} - x^{11} - 5 x^{10} + x^{9} + 9 x^{8} + 12 x^{7} - 5 x^{6} - 32 x^{5} - 3 x^{4} + 27 x^{3} + 2 x^{2} - 6 x + 1$ |
$12$ |
[8,2] |
$2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 109$ |
$4$ |
$14.0025911294$ |
$263.86835860861856$ |
|
|
✓ |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$9$ |
$248.524487865$ |
| 12.8.77671316000000.1 |
$x^{12} - 5 x^{11} + 8 x^{10} - 8 x^{9} + 15 x^{8} + 6 x^{7} - 79 x^{6} + 76 x^{5} + 33 x^{4} - 70 x^{3} + 24 x^{2} + x - 1$ |
$12$ |
[8,2] |
$2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 149$ |
$4$ |
$14.3721493626$ |
$308.5085473151087$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$9$ |
$304.029886287$ |
| 12.2.109990924000000.1 |
$x^{12} - 5 x^{11} + 10 x^{10} - 18 x^{9} + 25 x^{8} - 30 x^{7} + 33 x^{6} - 30 x^{5} + 25 x^{4} - 18 x^{3} + 10 x^{2} - 5 x + 1$ |
$12$ |
[2,5] |
$-\,2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 211$ |
$4$ |
$14.7949353201$ |
$367.126128270068$ |
|
|
✓ |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$6$ |
$113.126620392$ |
| 12.4.125629444000000.1 |
$x^{12} - 3 x^{11} + 4 x^{10} + 5 x^{9} - 26 x^{8} + 39 x^{7} - 29 x^{6} + 2 x^{5} + 8 x^{4} - 14 x^{3} + 28 x^{2} - 20 x + 4$ |
$12$ |
[4,4] |
$2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 241$ |
$4$ |
$14.9597482985$ |
$392.35806844937514$ |
|
|
|
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$7$ |
$290.484715309$ |
| 12.6.133448704000000.1 |
$x^{12} - 4 x^{10} - 7 x^{8} + 28 x^{6} + 7 x^{4} - 8 x^{2} - 1$ |
$12$ |
[6,3] |
$-\,2^{16}\cdot 5^{6}\cdot 19^{4}$ |
$3$ |
$15.03521109656998$ |
$56.330032144749296$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$8$ |
$332.4778239145111$ |
| 12.4.151457444000000.1 |
$x^{12} - 2 x^{11} - x^{10} + 2 x^{9} - 6 x^{8} + 10 x^{7} - 9 x^{6} + 10 x^{5} - 6 x^{4} + 2 x^{3} - x^{2} - 2 x + 1$ |
$12$ |
[4,4] |
$2^{8}\cdot 5^{6}\cdot 31^{4}\cdot 41$ |
$4$ |
$15.194656454182361$ |
$224.2873209948301$ |
|
|
|
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$7$ |
$367.3117987857954$ |
| 12.0.169075682574336.2 |
$x^{12} - 4 x^{10} + 8 x^{8} - 16 x^{6} + 36 x^{4} - 48 x^{2} + 24$ |
$12$ |
[0,6] |
$2^{33}\cdot 3^{9}$ |
$2$ |
$15.3346345019$ |
$62.734787173617846$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$5$ |
$158.465811008$ |
| 12.0.169075682574336.5 |
$x^{12} + 4 x^{10} + 8 x^{8} + 16 x^{6} + 36 x^{4} + 48 x^{2} + 24$ |
$12$ |
[0,6] |
$2^{33}\cdot 3^{9}$ |
$2$ |
$15.3346345019$ |
$62.734787173617846$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$5$ |
$171.66752159$ |
| 12.8.181928116000000.1 |
$x^{12} - x^{11} - 4 x^{10} + 8 x^{9} - 7 x^{8} - 30 x^{7} + 41 x^{6} + 50 x^{5} - 33 x^{4} - 10 x^{3} + 10 x^{2} - 7 x + 1$ |
$12$ |
[8,2] |
$2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 349$ |
$4$ |
$15.4285454843$ |
$472.1573776028913$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$9$ |
$493.218202324$ |
| 12.0.190210142896128.3 |
$x^{12} + 6 x^{10} + 9 x^{8} - 10 x^{6} - 30 x^{4} + 27$ |
$12$ |
[0,6] |
$2^{30}\cdot 3^{11}$ |
$2$ |
$15.4858889046$ |
$53.32790513652352$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$5$ |
$270.166475128$ |
| 12.0.190210142896128.4 |
$x^{12} - 6 x^{10} + 9 x^{8} + 10 x^{6} - 30 x^{4} + 27$ |
$12$ |
[0,6] |
$2^{30}\cdot 3^{11}$ |
$2$ |
$15.4858889046$ |
$53.32790513652352$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$5$ |
$121.307972924$ |
| 12.2.234842190774272.1 |
$x^{12} - 4 x^{11} + 4 x^{10} - 2 x^{9} + 2 x^{8} - 3 x^{6} + 2 x^{4} - 2 x^{3} + 4 x^{2} - 4 x + 1$ |
$12$ |
[2,5] |
$-\,2^{18}\cdot 23\cdot 79^{4}$ |
$3$ |
$15.760307142697759$ |
$249.74318098249037$ |
|
|
✓ |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$6$ |
$261.45473434246924$ |
| 12.8.241875776000000.1 |
$x^{12} - 2 x^{11} - 2 x^{10} + 6 x^{9} - x^{8} - 16 x^{7} + 6 x^{6} + 40 x^{5} - 7 x^{4} - 30 x^{3} + 4 x^{2} + 6 x - 1$ |
$12$ |
[8,2] |
$2^{12}\cdot 5^{6}\cdot 19^{4}\cdot 29$ |
$4$ |
$15.799112733228817$ |
$209.9021141342055$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$9$ |
$662.2910309313443$ |
| 12.0.252088148770816.1 |
$x^{12} - 6 x^{11} + 20 x^{10} - 42 x^{9} + 66 x^{8} - 82 x^{7} + 101 x^{6} - 98 x^{5} + 90 x^{4} - 64 x^{3} + 56 x^{2} - 32 x + 16$ |
$12$ |
[0,6] |
$2^{14}\cdot 109^{5}$ |
$2$ |
$15.853653760354977$ |
$141.05887259432856$ |
|
|
|
$A_4^2:D_4$ (as 12T208) |
trivial |
$4$ |
$5$ |
$2052.5093627792508$ |
| 12.0.334143044000000.1 |
$x^{12} - x^{11} + 7 x^{9} - 4 x^{8} - 5 x^{7} + 29 x^{6} - 10 x^{5} - 16 x^{4} + 56 x^{3} - 32 x + 64$ |
$12$ |
[0,6] |
$2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 641$ |
$4$ |
$16.2303431523$ |
$639.8866968409686$ |
✓ |
|
|
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$5$ |
$205.215798368$ |
| 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 |
$2$ |
$10$ |
$1014.02867971$ |
| 12.0.385610460475392.1 |
$x^{12} + 27 x^{4} - 18 x^{2} + 3$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{23}$ |
$2$ |
$16.4252655857$ |
$43.618315620923944$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$6$ |
$5$ |
$1163.89461828$ |
| 12.0.385610460475392.5 |
$x^{12} + 27 x^{4} + 18 x^{2} + 3$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{23}$ |
$2$ |
$16.4252655857$ |
$43.618315620923944$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$6$ |
$5$ |
$882.357764513$ |
| 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 |
$2$ |
$10$ |
$1352.48458763$ |
| 12.10.650158784000000.1 |
$x^{12} - 4 x^{11} + 18 x^{9} - 21 x^{8} - 14 x^{7} + 54 x^{6} - 34 x^{5} - 47 x^{4} + 50 x^{3} + 14 x^{2} - 12 x - 1$ |
$12$ |
[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 |
$2$ |
$10$ |
$1643.7263230177932$ |
| 12.0.1052745423388672.10 |
$x^{12} - 6 x^{10} - x^{8} - 8 x^{6} + 468 x^{4} - 1690 x^{2} + 2197$ |
$12$ |
[0,6] |
$2^{24}\cdot 13^{7}$ |
$2$ |
$17.8591292425$ |
$55.80992355327924$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$4$ |
$5$ |
$560.767266895$ |
| 12.0.1052745423388672.11 |
$x^{12} - 4 x^{10} + 27 x^{8} - 38 x^{6} + 208 x^{4} + 338 x^{2} + 2197$ |
$12$ |
[0,6] |
$2^{24}\cdot 13^{7}$ |
$2$ |
$17.8591292425$ |
$60.8611531943079$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$4$ |
$5$ |
$644.523822134$ |
| 12.0.1119448865964032.13 |
$x^{12} + 4 x^{8} + 16 x^{6} - 4 x^{4} - 16 x^{2} + 8$ |
$12$ |
[0,6] |
$2^{33}\cdot 19^{4}$ |
$2$ |
$17.9507950469$ |
$86.90255420290123$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$5$ |
$606.983160075$ |
| 12.0.1119448865964032.17 |
$x^{12} + 4 x^{8} - 16 x^{6} - 4 x^{4} + 16 x^{2} + 8$ |
$12$ |
[0,6] |
$2^{33}\cdot 19^{4}$ |
$2$ |
$17.9507950469$ |
$86.90255420290123$ |
|
|
|
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$5$ |
$1263.14938494$ |
| 12.0.1218719480020992.3 |
$x^{12} - 6 x^{10} + 15 x^{8} - 18 x^{6} + 9 x^{4} + 3$ |
$12$ |
[0,6] |
$2^{20}\cdot 3^{19}$ |
$2$ |
$18.0783440026$ |
$41.58095657751092$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$6$ |
$5$ |
$1935.39411213$ |
| 12.0.1218719480020992.4 |
$x^{12} + 6 x^{10} + 15 x^{8} + 18 x^{6} + 9 x^{4} + 3$ |
$12$ |
[0,6] |
$2^{20}\cdot 3^{19}$ |
$2$ |
$18.0783440026$ |
$41.58095657751092$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$6$ |
$5$ |
$2530.11141909$ |
| 12.0.1521681143169024.5 |
$x^{12} + 18 x^{8} - 8 x^{6} + 120 x^{4} + 216$ |
$12$ |
[0,6] |
$2^{33}\cdot 3^{11}$ |
$2$ |
$18.4159292675$ |
$62.734787173617846$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$5$ |
$363.849724744$ |
| 12.0.1521681143169024.6 |
$x^{12} + 18 x^{8} + 8 x^{6} + 120 x^{4} + 216$ |
$12$ |
[0,6] |
$2^{33}\cdot 3^{11}$ |
$2$ |
$18.4159292675$ |
$62.734787173617846$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$5$ |
$811.143799546$ |
| 12.12.1558117876000000.1 |
$x^{12} - 3 x^{11} - 9 x^{10} + 25 x^{9} + 31 x^{8} - 70 x^{7} - 47 x^{6} + 84 x^{5} + 29 x^{4} - 43 x^{3} - 4 x^{2} + 8 x - 1$ |
$12$ |
[12,0] |
$2^{8}\cdot 5^{6}\cdot 7^{2}\cdot 19^{4}\cdot 61$ |
$5$ |
$18.4522795648$ |
$522.261490781773$ |
|
|
✓ |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$11$ |
$3038.40386267$ |
| 12.4.2535525376000000.1 |
$x^{12} + 9 x^{10} + 12 x^{8} - 35 x^{6} - 76 x^{4} - 19 x^{2} + 19$ |
$12$ |
[4,4] |
$2^{16}\cdot 5^{6}\cdot 19^{5}$ |
$3$ |
$19.21641326909542$ |
$92.01647650119014$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$7$ |
$1034.9193313912845$ |
| 12.8.2535525376000000.1 |
$x^{12} - 9 x^{10} + 12 x^{8} + 35 x^{6} - 76 x^{4} + 19 x^{2} + 19$ |
$12$ |
[8,2] |
$2^{16}\cdot 5^{6}\cdot 19^{5}$ |
$3$ |
$19.21641326909542$ |
$92.01647650119014$ |
|
|
? |
$A_4^2:D_4$ (as 12T208) |
trivial |
$2$ |
$9$ |
$2417.609134140823$ |
