| 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 |
| 12.0.563507579133.1 |
$x^{12} - 2 x^{11} - 2 x^{10} + 7 x^{9} - 2 x^{8} - 8 x^{7} + 10 x^{6} + 4 x^{5} - 14 x^{4} - 3 x^{3} + 9 x^{2} + 6 x + 3$ |
$12$ |
[0,6] |
$3^{9}\cdot 31^{5}$ |
$2$ |
$9.53326459074$ |
$12.691758156532355$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$6$ |
$5$ |
$22.3459496727$ |
| 12.0.1775882908917.1 |
$x^{12} - 3 x^{11} + 9 x^{9} - 15 x^{8} + 6 x^{7} + 14 x^{6} - 21 x^{5} + 24 x^{4} - 15 x^{3} + 15 x^{2} - 3 x + 1$ |
$12$ |
[0,6] |
$3^{14}\cdot 13^{5}$ |
$2$ |
$10.4902183339$ |
$12.99011931146003$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$6$ |
$5$ |
$37.2314124092$ |
| 12.0.5376874643456.1 |
$x^{12} - 6 x^{11} + 16 x^{10} - 24 x^{9} + 24 x^{8} - 28 x^{7} + 38 x^{6} - 30 x^{5} + 12 x^{4} - 8 x^{3} + 6 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{18}\cdot 29^{5}$ |
$2$ |
$11.5047581273$ |
$15.231546211727817$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$4$ |
$5$ |
$76.49022114$ |
| 12.2.7695492605307.2 |
$x^{12} - 2 x^{9} + 4 x^{6} - 3 x^{3} - 1$ |
$12$ |
[2,5] |
$-\,3^{13}\cdot 13^{6}$ |
$2$ |
$11.8536755378$ |
$12.99011931146003$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$6$ |
$44.4827220741$ |
| 12.0.11216568631221.1 |
$x^{12} - 2 x^{11} + 8 x^{10} - 16 x^{9} + 24 x^{8} - 28 x^{7} + 22 x^{6} - 5 x^{5} - 9 x^{4} + 4 x^{3} + 5 x^{2} - 4 x + 1$ |
$12$ |
[0,6] |
$3^{6}\cdot 109^{5}$ |
$2$ |
$12.2317426411$ |
$18.083141320025124$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$6$ |
$5$ |
$102.786458967$ |
| 12.0.12476686493952.1 |
$x^{12} - x^{11} + 5 x^{10} - 6 x^{9} + 7 x^{8} + x^{7} - 8 x^{6} + x^{5} + 7 x^{4} + 12 x^{3} + 11 x^{2} + 5 x + 1$ |
$12$ |
[0,6] |
$2^{8}\cdot 3^{9}\cdot 19^{5}$ |
$3$ |
$12.3407514431$ |
$15.772640520900502$ |
|
|
|
$D_{12}$ (as 12T12) |
trivial |
$6$ |
$5$ |
$186.861610393$ |
| 12.2.17468734953123.1 |
$x^{12} - 4 x^{11} + 12 x^{10} - 26 x^{9} + 37 x^{8} - 48 x^{7} + 43 x^{6} - 33 x^{5} + 15 x^{4} - 13 x^{3} + 10 x^{2} - 6 x + 1$ |
$12$ |
[2,5] |
$-\,3^{9}\cdot 31^{6}$ |
$2$ |
$12.6917581565$ |
$12.691758156532355$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$6$ |
$75.2188049438$ |
| 12.0.19534128475869.1 |
$x^{12} - 6 x^{11} + 24 x^{10} - 62 x^{9} + 129 x^{8} - 201 x^{7} + 237 x^{6} - 201 x^{5} + 129 x^{4} - 62 x^{3} + 24 x^{2} - 6 x + 1$ |
$12$ |
[0,6] |
$3^{19}\cdot 7^{5}$ |
$2$ |
$12.8105026306$ |
$15.065758677486658$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$6$ |
$5$ |
$176.066417182$ |
| 12.0.22872307503104.1 |
$x^{12} - 4 x^{10} - 2 x^{9} + 12 x^{8} + 20 x^{7} + 18 x^{6} + 16 x^{5} + 20 x^{4} + 18 x^{3} + 12 x^{2} + 4 x + 1$ |
$12$ |
[0,6] |
$2^{12}\cdot 89^{5}$ |
$2$ |
$12.980034051$ |
$18.867962264113206$ |
|
|
|
$D_{12}$ (as 12T12) |
trivial |
$4$ |
$5$ |
$142.808457546$ |
| 12.2.38982341165056.2 |
$x^{12} - 2 x^{10} + 6 x^{8} - 6 x^{4} - 2 x^{2} - 1$ |
$12$ |
[2,5] |
$-\,2^{16}\cdot 29^{6}$ |
$2$ |
$13.5697649953$ |
$15.231546211727817$ |
|
|
|
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$6$ |
$125.997074655$ |
| 12.2.55916310546875.1 |
$x^{12} - 4 x^{11} + 8 x^{10} - 9 x^{9} - 2 x^{8} + 2 x^{7} + 29 x^{6} - 39 x^{5} + x^{4} + 2 x^{3} + 8 x^{2} + 3 x - 9$ |
$12$ |
[2,5] |
$-\,5^{9}\cdot 31^{5}$ |
$2$ |
$13.9838967604$ |
$18.616942190179014$ |
|
|
|
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$6$ |
$133.406775563$ |
| 12.0.76169967501312.1 |
$x^{12} - 6 x^{10} - 6 x^{8} + 48 x^{6} + 54 x^{4} - 18 x^{2} + 3$ |
$12$ |
[0,6] |
$2^{16}\cdot 3^{19}$ |
$2$ |
$14.3487911438$ |
$16.105973497991872$ |
|
|
|
$D_{12}$ (as 12T12) |
trivial |
$6$ |
$5$ |
$537.18669042$ |
| 12.2.80525500000000.1 |
$x^{12} - 3 x^{11} + 3 x^{10} + 8 x^{9} - 9 x^{8} - x^{7} + 14 x^{6} + 3 x^{5} + 3 x^{4} + 24 x^{3} + 23 x^{2} + 9 x + 1$ |
$12$ |
[2,5] |
$-\,2^{8}\cdot 5^{9}\cdot 11^{5}$ |
$3$ |
$14.4154361172$ |
$17.603965534028475$ |
|
|
|
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$6$ |
$165.101772087$ |
| 12.0.109627439316992.1 |
$x^{12} - 6 x^{11} + 24 x^{10} - 60 x^{9} + 108 x^{8} - 148 x^{7} + 154 x^{6} - 110 x^{5} + 52 x^{4} - 16 x^{3} + 18 x^{2} - 8 x + 1$ |
$12$ |
[0,6] |
$2^{18}\cdot 53^{5}$ |
$2$ |
$14.79085476$ |
$20.591260281974$ |
|
|
? |
$D_{12}$ (as 12T12) |
$[2]$ |
$4$ |
$5$ |
$263.773598435$ |
| 12.2.114516604000000.1 |
$x^{12} - x^{10} - 2 x^{9} - 5 x^{8} + 12 x^{7} - 15 x^{6} + 26 x^{5} - 8 x^{4} - 4 x^{3} - 20 x^{2} + 16 x - 4$ |
$12$ |
[2,5] |
$-\,2^{8}\cdot 5^{6}\cdot 31^{5}$ |
$3$ |
$14.8447323507$ |
$19.762983718745776$ |
|
|
|
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$6$ |
$210.935703626$ |
| 12.0.129223508203125.1 |
$x^{12} - 4 x^{11} + 9 x^{10} - 17 x^{9} + 40 x^{8} - 66 x^{7} + 136 x^{6} - 198 x^{5} + 306 x^{4} - 280 x^{3} + 274 x^{2} - 117 x + 73$ |
$12$ |
[0,6] |
$3^{9}\cdot 5^{8}\cdot 7^{5}$ |
$3$ |
$14.994953636$ |
$17.634776665251433$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$6$ |
$5$ |
$472.655009065$ |
| 12.2.136738899331083.1 |
$x^{12} - x^{9} + 8 x^{3} + 1$ |
$12$ |
[2,5] |
$-\,3^{19}\cdot 7^{6}$ |
$2$ |
$15.0657586775$ |
$15.065758677486658$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$6$ |
$275.860728098$ |
| 12.0.221405852729344.1 |
$x^{12} - 2 x^{11} + 10 x^{10} - 28 x^{9} + 52 x^{8} - 106 x^{7} + 170 x^{6} - 174 x^{5} + 176 x^{4} - 192 x^{3} + 106 x^{2} - 18 x + 9$ |
$12$ |
[0,6] |
$2^{18}\cdot 61^{5}$ |
$2$ |
$15.6831185288$ |
$22.090722034374522$ |
|
|
|
$D_{12}$ (as 12T12) |
$[2]$ |
$4$ |
$5$ |
$419.366310566$ |
| 12.2.237057043385088.1 |
$x^{12} - 4 x^{11} + 13 x^{10} - 32 x^{9} + 49 x^{8} - 46 x^{7} - x^{6} + 68 x^{5} - 122 x^{4} + 118 x^{3} - 80 x^{2} + 32 x - 8$ |
$12$ |
[2,5] |
$-\,2^{8}\cdot 3^{9}\cdot 19^{6}$ |
$3$ |
$15.7726405209$ |
$15.772640520900502$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$6$ |
$1067.05753964$ |
| 12.0.259729655939201.1 |
$x^{12} - 4 x^{11} + 13 x^{10} - 20 x^{9} + 21 x^{8} + 8 x^{7} - 49 x^{6} + 60 x^{5} - 30 x^{4} - 18 x^{3} + 53 x^{2} - 35 x + 25$ |
$12$ |
[0,6] |
$7^{9}\cdot 23^{5}$ |
$2$ |
$15.893155345$ |
$20.638942828580127$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$5$ |
$185.722134476$ |
| 12.2.304679870005248.1 |
$x^{12} - 10 x^{9} + 36 x^{6} - 46 x^{3} + 1$ |
$12$ |
[2,5] |
$-\,2^{18}\cdot 3^{19}$ |
$2$ |
$16.105973498$ |
$16.105973497991872$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$6$ |
$707.452254072$ |
| 12.0.331669996668333.1 |
$x^{12} - 3 x^{11} - 3 x^{10} + 24 x^{9} - 12 x^{8} - 69 x^{7} + 73 x^{6} + 99 x^{5} - 108 x^{4} - 120 x^{3} + 63 x^{2} + 111 x + 37$ |
$12$ |
[0,6] |
$3^{14}\cdot 37^{5}$ |
$2$ |
$16.2202987486$ |
$21.915042936585067$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$6$ |
$5$ |
$1061.19210786$ |
| 12.0.344119977181184.10 |
$x^{12} - 4 x^{10} + 16 x^{8} - 20 x^{6} + 32 x^{4} + 4 x^{2} + 29$ |
$12$ |
[0,6] |
$2^{24}\cdot 29^{5}$ |
$2$ |
$16.2701849755$ |
$21.540659228538015$ |
|
|
? |
$D_{12}$ (as 12T12) |
$[2]$ |
$4$ |
$5$ |
$372.367013243$ |
| 12.2.407535326934363.1 |
$x^{12} + x^{6} - 27$ |
$12$ |
[2,5] |
$-\,3^{5}\cdot 109^{6}$ |
$2$ |
$16.5011332669$ |
$18.083141320025124$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$6$ |
$571.958857365$ |
| 12.2.508908841944064.1 |
$x^{12} - x^{11} + 2 x^{10} - 15 x^{9} + 36 x^{8} - 49 x^{7} + 48 x^{6} - 49 x^{5} + 36 x^{4} - 15 x^{3} + 2 x^{2} - x + 1$ |
$12$ |
[2,5] |
$-\,2^{10}\cdot 89^{6}$ |
$2$ |
$16.809443395$ |
$18.867962264113206$ |
|
|
|
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$6$ |
$986.486019303$ |
| 12.0.710002944800000.1 |
$x^{12} - x^{11} + 7 x^{10} - 8 x^{9} + 19 x^{8} - 35 x^{7} + 54 x^{6} - 35 x^{5} + 19 x^{4} - 8 x^{3} + 7 x^{2} - x + 1$ |
$12$ |
[0,6] |
$2^{8}\cdot 5^{5}\cdot 31^{6}$ |
$3$ |
$17.2824381972$ |
$19.762983718745776$ |
|
|
? |
$D_{12}$ (as 12T12) |
$[3]$ |
$2$ |
$5$ |
$438.342726926$ |
| 12.0.797345646116864.1 |
$x^{12} - 6 x^{10} + 20 x^{8} - 40 x^{6} + 61 x^{4} - 58 x^{2} + 26$ |
$12$ |
[0,6] |
$2^{31}\cdot 13^{5}$ |
$2$ |
$17.4503396979$ |
$24.255161140409015$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$4$ |
$5$ |
$1332.32333065$ |
| 12.0.797345646116864.2 |
$x^{12} - 6 x^{10} + 16 x^{8} - 20 x^{6} + 13 x^{4} - 22 x^{2} + 26$ |
$12$ |
[0,6] |
$2^{31}\cdot 13^{5}$ |
$2$ |
$17.4503396979$ |
$24.255161140409015$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$4$ |
$5$ |
$2012.58084241$ |
| 12.0.838860800000000.7 |
$x^{12} - 14 x^{10} + 88 x^{8} - 308 x^{6} + 621 x^{4} - 686 x^{2} + 338$ |
$12$ |
[0,6] |
$2^{31}\cdot 5^{8}$ |
$2$ |
$17.5243058803$ |
$19.670368273611786$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$4$ |
$5$ |
$2380.187487$ |
| 12.0.885780500000000.1 |
$x^{12} - x^{11} - 2 x^{10} + 11 x^{9} + 4 x^{8} - 43 x^{7} + 17 x^{6} + 66 x^{5} - 90 x^{4} - 6 x^{3} + 100 x^{2} - 72 x + 16$ |
$12$ |
[0,6] |
$2^{8}\cdot 5^{9}\cdot 11^{6}$ |
$3$ |
$17.603965534$ |
$17.603965534028475$ |
|
|
? |
$D_{12}$ (as 12T12) |
$[4]$ |
$2$ |
$5$ |
$343.095833247$ |
| 12.2.904564557421875.1 |
$x^{12} - 5 x^{11} + 14 x^{10} - 29 x^{9} + 46 x^{8} - 34 x^{7} + 8 x^{6} + 35 x^{5} - 11 x^{4} + 6 x^{3} + 12 x^{2} + 9 x - 3$ |
$12$ |
[2,5] |
$-\,3^{9}\cdot 5^{8}\cdot 7^{6}$ |
$3$ |
$17.6347766653$ |
$17.634776665251433$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$6$ |
$740.555507554$ |
| 12.2.1452563570950144.1 |
$x^{12} - 3 x^{10} + 5 x^{8} + 22 x^{6} - 5 x^{4} - 3 x^{2} - 1$ |
$12$ |
[2,5] |
$-\,2^{16}\cdot 53^{6}$ |
$2$ |
$18.3447273901$ |
$20.591260281974$ |
|
|
|
$D_{12}$ (as 12T12) |
$[2]$ |
$2$ |
$6$ |
$518.505162325$ |
| 12.2.1677721600000000.1 |
$x^{12} - 14 x^{10} + 69 x^{8} - 84 x^{6} - 69 x^{4} - 14 x^{2} - 1$ |
$12$ |
[2,5] |
$-\,2^{32}\cdot 5^{8}$ |
$2$ |
$18.5663553345$ |
$19.670368273611786$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$6$ |
$2097.8343832$ |
| 12.0.1733405626953125.1 |
$x^{12} - 4 x^{11} + 12 x^{10} - 14 x^{9} - 4 x^{8} + 37 x^{7} - 44 x^{6} - 54 x^{5} + 268 x^{4} - 428 x^{3} + 402 x^{2} - 252 x + 81$ |
$12$ |
[0,6] |
$5^{9}\cdot 31^{6}$ |
$2$ |
$18.6169421902$ |
$18.616942190179014$ |
|
|
|
$D_{12}$ (as 12T12) |
$[4]$ |
$2$ |
$5$ |
$277.230875502$ |
| 12.2.2494869834563584.6 |
$x^{12} - 4 x^{10} + 23 x^{8} - 28 x^{6} + 5 x^{4} + 8 x^{2} - 4$ |
$12$ |
[2,5] |
$-\,2^{22}\cdot 29^{6}$ |
$2$ |
$19.1905456946$ |
$21.540659228538015$ |
|
|
|
$D_{12}$ (as 12T12) |
$[2]$ |
$2$ |
$6$ |
$613.374542096$ |
| 12.2.3376439254122496.1 |
$x^{12} - 6 x^{10} + 22 x^{8} - 44 x^{6} + 42 x^{4} - 2 x^{2} - 9$ |
$12$ |
[2,5] |
$-\,2^{16}\cdot 61^{6}$ |
$2$ |
$19.6805959432$ |
$22.090722034374522$ |
|
|
|
$D_{12}$ (as 12T12) |
$[2]$ |
$2$ |
$6$ |
$1536.64977705$ |
| 12.2.4090596625576107.1 |
$x^{12} - x^{9} + 3 x^{6} + 31 x^{3} - 1$ |
$12$ |
[2,5] |
$-\,3^{13}\cdot 37^{6}$ |
$2$ |
$19.9978000308$ |
$21.915042936585067$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$6$ |
$2644.25711415$ |
| 12.0.4874877920083968.4 |
$x^{12} - 12 x^{10} + 39 x^{8} - 12 x^{6} - 27 x^{4} + 12$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{19}$ |
$2$ |
$20.2922550392$ |
$22.777286156081747$ |
|
|
|
$D_{12}$ (as 12T12) |
$[2]$ |
$6$ |
$5$ |
$2283.83841477$ |
| 12.0.5533670223904768.1 |
$x^{12} - 4 x^{10} + 22 x^{8} - 68 x^{6} + 100 x^{4} - 72 x^{2} + 22$ |
$12$ |
[0,6] |
$2^{35}\cdot 11^{5}$ |
$2$ |
$20.5077385871$ |
$25.04381555535815$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$5$ |
$1229.18243841$ |
| 12.0.5533670223904768.26 |
$x^{12} + 4 x^{10} + 22 x^{8} + 68 x^{6} + 100 x^{4} + 72 x^{2} + 22$ |
$12$ |
[0,6] |
$2^{35}\cdot 11^{5}$ |
$2$ |
$20.5077385871$ |
$25.04381555535815$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$5$ |
$1832.28255076$ |
| 12.2.5973782086601623.1 |
$x^{12} - 4 x^{11} + 14 x^{10} - 39 x^{9} + 110 x^{8} - 239 x^{7} + 387 x^{6} - 459 x^{5} + 353 x^{4} - 228 x^{3} + 28 x^{2} - 50 x + 1$ |
$12$ |
[2,5] |
$-\,7^{9}\cdot 23^{6}$ |
$2$ |
$20.6389428286$ |
$20.638942828580127$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$6$ |
$1869.64264497$ |
| 12.0.6847565144260608.18 |
$x^{12} - 6 x^{10} + 27 x^{8} - 68 x^{6} + 84 x^{4} - 48 x^{2} + 12$ |
$12$ |
[0,6] |
$2^{32}\cdot 3^{13}$ |
$2$ |
$20.8750735528$ |
$24.23672593327708$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$5$ |
$3383.23351002$ |
| 12.0.6847565144260608.23 |
$x^{12} + 6 x^{10} + 27 x^{8} + 68 x^{6} + 84 x^{4} + 48 x^{2} + 12$ |
$12$ |
[0,6] |
$2^{32}\cdot 3^{13}$ |
$2$ |
$20.8750735528$ |
$24.23672593327708$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$5$ |
$7196.14377005$ |
| 12.2.10271347716390912.15 |
$x^{12} + 6 x^{10} - 40 x^{6} - 51 x^{4} - 6 x^{2} - 2$ |
$12$ |
[2,5] |
$-\,2^{31}\cdot 3^{14}$ |
$2$ |
$21.5924680659$ |
$24.23672593327708$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$6$ |
$4455.57608816$ |
| 12.2.10271347716390912.18 |
$x^{12} - 6 x^{10} + 40 x^{6} - 51 x^{4} + 6 x^{2} - 2$ |
$12$ |
[2,5] |
$-\,2^{31}\cdot 3^{14}$ |
$2$ |
$21.5924680659$ |
$24.23672593327708$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$6$ |
$9477.01836538$ |
| 12.0.10634764226658304.30 |
$x^{12} - 6 x^{10} + 11 x^{8} - 4 x^{6} + 20 x^{4} - 48 x^{2} + 76$ |
$12$ |
[0,6] |
$2^{32}\cdot 19^{5}$ |
$2$ |
$21.6551230328$ |
$29.323059968612448$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$5$ |
$3612.13813578$ |
| 12.0.10634764226658304.32 |
$x^{12} + 6 x^{10} + 11 x^{8} + 4 x^{6} + 20 x^{4} + 48 x^{2} + 76$ |
$12$ |
[0,6] |
$2^{32}\cdot 19^{5}$ |
$2$ |
$21.6551230328$ |
$29.323059968612448$ |
|
|
? |
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$5$ |
$4095.47291176$ |
| 12.0.17748668405369088.1 |
$x^{12} - 4 x^{11} + 11 x^{10} - 22 x^{9} + 44 x^{8} - 88 x^{7} + 143 x^{6} - 154 x^{5} + 176 x^{4} - 220 x^{3} + 407 x^{2} - 334 x + 115$ |
$12$ |
[0,6] |
$2^{8}\cdot 3^{5}\cdot 11^{11}$ |
$3$ |
$22.599412432617306$ |
$24.76607892060763$ |
|
|
|
$D_{12}$ (as 12T12) |
$[3]$ |
$2$ |
$5$ |
$1663.4872788589123$ |
| 12.0.18698185645162496.1 |
$x^{12} + 22 x^{8} - 55 x^{4} + 176$ |
$12$ |
[0,6] |
$2^{16}\cdot 11^{11}$ |
$2$ |
$22.6977751229$ |
$25.477391156557523$ |
|
|
|
$D_{12}$ (as 12T12) |
trivial |
$2$ |
$5$ |
$5788.39813773$ |
| 12.2.19499511680335872.3 |
$x^{12} - 3 x^{8} + 72 x^{4} - 48$ |
$12$ |
[2,5] |
$-\,2^{24}\cdot 3^{19}$ |
$2$ |
$22.7772861561$ |
$22.777286156081747$ |
|
|
? |
$D_{12}$ (as 12T12) |
$[2]$ |
$2$ |
$6$ |
$3007.71903564$ |
