| 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 |
| 12.0.1792160394037.1 |
$x^{12} - x^{11} + x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1$ |
$12$ |
[0,6] |
$13^{11}$ |
$1$ |
$10.4981975201$ |
$10.49819752007962$ |
✓ |
✓ |
✓ |
$C_{12}$ (as 12T1) |
trivial |
$26$ |
$5$ |
$120.784031363$ |
| 12.0.11259376953125.1 |
$x^{12} - x^{11} + 3 x^{10} - 4 x^{9} + 9 x^{8} + 2 x^{7} + 12 x^{6} + x^{5} + 25 x^{4} - 11 x^{3} + 5 x^{2} - 2 x + 1$ |
$12$ |
[0,6] |
$5^{9}\cdot 7^{8}$ |
$2$ |
$12.2356260826$ |
$12.235626082613623$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
trivial |
$10$ |
$5$ |
$104.882003477$ |
| 12.0.84075626953125.1 |
$x^{12} + 3 x^{10} - x^{9} + 9 x^{8} + 9 x^{7} + 28 x^{6} + 18 x^{5} + 75 x^{4} + 26 x^{3} + 9 x^{2} + 3 x + 1$ |
$12$ |
[0,6] |
$3^{16}\cdot 5^{9}$ |
$2$ |
$14.4673562625$ |
$14.467356262492348$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
trivial |
$10$ |
$5$ |
$201.000834787$ |
| 12.12.551709470703125.1 |
$x^{12} - x^{11} - 12 x^{10} + 11 x^{9} + 54 x^{8} - 43 x^{7} - 113 x^{6} + 71 x^{5} + 110 x^{4} - 46 x^{3} - 40 x^{2} + 8 x + 1$ |
$12$ |
[12,0] |
$5^{9}\cdot 7^{10}$ |
$2$ |
$16.9229421535$ |
$16.9229421535458$ |
|
✓ |
✓ |
$C_{12}$ (as 12T1) |
trivial |
$2$ |
$11$ |
$1656.08671936$ |
| 12.12.756680642578125.1 |
$x^{12} - 12 x^{10} - x^{9} + 54 x^{8} + 9 x^{7} - 112 x^{6} - 27 x^{5} + 105 x^{4} + 31 x^{3} - 36 x^{2} - 12 x + 1$ |
$12$ |
[12,0] |
$3^{18}\cdot 5^{9}$ |
$2$ |
$17.3743827793$ |
$17.374382779324037$ |
|
✓ |
✓ |
$C_{12}$ (as 12T1) |
trivial |
$2$ |
$11$ |
$2075.03148059$ |
| 12.12.1306484927252973.1 |
$x^{12} - x^{11} - 12 x^{10} + 12 x^{9} + 53 x^{8} - 53 x^{7} - 103 x^{6} + 103 x^{5} + 79 x^{4} - 79 x^{3} - 12 x^{2} + 12 x + 1$ |
$12$ |
[12,0] |
$3^{6}\cdot 13^{11}$ |
$2$ |
$18.1834114927$ |
$18.18341149267149$ |
|
✓ |
✓ |
$C_{12}$ (as 12T1) |
trivial |
$2$ |
$11$ |
$2784.79884663$ |
| 12.0.1593224064453125.1 |
$x^{12} - x^{11} + 5 x^{10} - 10 x^{9} + 31 x^{8} + 50 x^{7} + 84 x^{6} + 85 x^{5} + 201 x^{4} + 55 x^{3} + 15 x^{2} + 4 x + 1$ |
$12$ |
[0,6] |
$5^{9}\cdot 13^{8}$ |
$2$ |
$18.4865727752$ |
$18.48657277522785$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[2, 2]$ |
$10$ |
$5$ |
$615.54450504$ |
| 12.12.7340688973975552.1 |
$x^{12} - 13 x^{10} + 65 x^{8} - 156 x^{6} + 182 x^{4} - 91 x^{2} + 13$ |
$12$ |
[12,0] |
$2^{12}\cdot 13^{11}$ |
$2$ |
$20.9963950402$ |
$20.99639504015924$ |
|
✓ |
✓ |
$C_{12}$ (as 12T1) |
trivial |
$2$ |
$11$ |
$7070.23231014$ |
| 12.12.8208085798828125.1 |
$x^{12} - x^{11} - 22 x^{10} + 14 x^{9} + 153 x^{8} - 62 x^{7} - 396 x^{6} + 84 x^{5} + 361 x^{4} - 87 x^{3} - 112 x^{2} + 37 x + 1$ |
$12$ |
[12,0] |
$3^{6}\cdot 5^{9}\cdot 7^{8}$ |
$3$ |
$21.1927260375$ |
$21.192726037501743$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
trivial |
$2$ |
$11$ |
$7868.47835349$ |
| 12.0.28002506156828125.1 |
$x^{12} - x^{11} + 14 x^{10} - 14 x^{9} + 79 x^{8} - 79 x^{7} + 235 x^{6} - 235 x^{5} + 417 x^{4} - 417 x^{3} + 508 x^{2} - 508 x + 521$ |
$12$ |
[0,6] |
$5^{6}\cdot 13^{11}$ |
$2$ |
$23.4746832961$ |
$23.474683296117743$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[2, 2, 2]$ |
$2$ |
$5$ |
$120.784031363$ |
| 12.0.33171021564453125.1 |
$x^{12} - x^{11} + 7 x^{10} - 6 x^{9} + 41 x^{8} - 62 x^{7} + 266 x^{6} - 351 x^{5} + 1513 x^{4} - 1757 x^{3} + 2107 x^{2} - 2058 x + 2401$ |
$12$ |
[0,6] |
$5^{9}\cdot 19^{8}$ |
$2$ |
$23.8083831957$ |
$23.8083831956814$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[13]$ |
$10$ |
$5$ |
$1234.55163261$ |
| 12.12.46118408000000000.1 |
$x^{12} - 4 x^{11} - 17 x^{10} + 74 x^{9} + 74 x^{8} - 412 x^{7} - 23 x^{6} + 734 x^{5} - 175 x^{4} - 324 x^{3} + 90 x^{2} + 22 x + 1$ |
$12$ |
[12,0] |
$2^{12}\cdot 5^{9}\cdot 7^{8}$ |
$3$ |
$24.4712521652$ |
$24.471252165227245$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
trivial |
$2$ |
$11$ |
$17863.7216242$ |
| 12.0.49519263525896192.1 |
$x^{12} + 20 x^{10} + 122 x^{8} + 280 x^{6} + 264 x^{4} + 96 x^{2} + 8$ |
$12$ |
[0,6] |
$2^{33}\cdot 7^{8}$ |
$2$ |
$24.616776431$ |
$24.616776431006123$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[3, 3]$ |
$2$ |
$5$ |
$279.150027194$ |
| 12.12.49519263525896192.1 |
$x^{12} - 20 x^{10} + 122 x^{8} - 280 x^{6} + 264 x^{4} - 96 x^{2} + 8$ |
$12$ |
[12,0] |
$2^{33}\cdot 7^{8}$ |
$2$ |
$24.616776431$ |
$24.616776431006123$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
trivial |
$2$ |
$11$ |
$19052.3985409$ |
| 12.0.61132828589969773.1 |
$x^{12} - x^{11} - 4 x^{10} - 10 x^{9} + 39 x^{8} - 78 x^{7} + 214 x^{6} - 280 x^{5} + 693 x^{4} - 573 x^{3} - 222 x^{2} + 123 x + 601$ |
$12$ |
[0,6] |
$7^{8}\cdot 13^{9}$ |
$2$ |
$25.0527963189$ |
$25.052796318948193$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[2, 2]$ |
$2$ |
$5$ |
$562.775330001$ |
| 12.0.177917621779460413.1 |
$x^{12} - x^{11} + 2 x^{10} + 20 x^{9} - 13 x^{8} + 19 x^{7} + 85 x^{6} - 51 x^{5} + 94 x^{4} + 2 x^{3} - 13 x^{2} + 77 x + 47$ |
$12$ |
[0,6] |
$37^{11}$ |
$1$ |
$27.3853469251$ |
$27.38534692509517$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
trivial |
$2$ |
$5$ |
$2518.23324049$ |
| 12.12.210...013.1 |
$x^{12} - x^{11} - 25 x^{10} + 25 x^{9} + 235 x^{8} - 235 x^{7} - 1013 x^{6} + 1013 x^{5} + 1899 x^{4} - 1899 x^{3} - 1013 x^{2} + 1013 x - 181$ |
$12$ |
[12,0] |
$7^{6}\cdot 13^{11}$ |
$2$ |
$27.7756198526$ |
$27.775619852565686$ |
|
✓ |
✓ |
$C_{12}$ (as 12T1) |
trivial |
$2$ |
$11$ |
$41755.5171383$ |
| 12.0.269254866892578125.1 |
$x^{12} - x^{11} + 10 x^{10} - 15 x^{9} + x^{8} - 55 x^{7} + 24 x^{6} + 155 x^{5} + 471 x^{4} + 505 x^{3} + 415 x^{2} + 309 x + 521$ |
$12$ |
[0,6] |
$5^{9}\cdot 13^{10}$ |
$2$ |
$28.3474259946$ |
$28.34742599459173$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[2, 2, 2]$ |
$2$ |
$5$ |
$615.54450504$ |
| 12.12.344...000.1 |
$x^{12} - 27 x^{10} - 4 x^{9} + 234 x^{8} + 36 x^{7} - 737 x^{6} + 72 x^{5} + 795 x^{4} - 336 x^{3} - 96 x^{2} + 42 x + 1$ |
$12$ |
[12,0] |
$2^{12}\cdot 3^{16}\cdot 5^{9}$ |
$3$ |
$28.934712525$ |
$28.934712524984697$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
trivial |
$2$ |
$11$ |
$66792.5779024$ |
| 12.0.369768517790072832.1 |
$x^{12} + 24 x^{10} + 180 x^{8} + 472 x^{6} + 468 x^{4} + 144 x^{2} + 8$ |
$12$ |
[0,6] |
$2^{33}\cdot 3^{16}$ |
$2$ |
$29.1067798457$ |
$29.106779845745038$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[13]$ |
$2$ |
$5$ |
$481.700375615$ |
| 12.12.369...832.1 |
$x^{12} - 24 x^{10} - 4 x^{9} + 180 x^{8} + 36 x^{7} - 502 x^{6} - 36 x^{5} + 501 x^{4} - 32 x^{3} - 138 x^{2} + 36 x - 1$ |
$12$ |
[12,0] |
$2^{33}\cdot 3^{16}$ |
$2$ |
$29.1067798457$ |
$29.106779845745038$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
trivial |
$2$ |
$11$ |
$80910.8856521$ |
| 12.0.402196204142578125.1 |
$x^{12} - x^{11} + 23 x^{10} - 24 x^{9} + 194 x^{8} - 218 x^{7} + 832 x^{6} - 1084 x^{5} + 2455 x^{4} - 2566 x^{3} + 5315 x^{2} - 1567 x + 6931$ |
$12$ |
[0,6] |
$3^{6}\cdot 5^{9}\cdot 7^{10}$ |
$3$ |
$29.3113956235$ |
$29.3113956234904$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[2, 26]$ |
$2$ |
$5$ |
$104.882003477$ |
| 12.0.456488925854205933.1 |
$x^{12} - 3 x^{11} - 3 x^{10} + 25 x^{9} + 3 x^{8} + 30 x^{7} + 140 x^{6} - 60 x^{5} + 348 x^{4} - 286 x^{3} - 822 x^{2} + 567 x + 1569$ |
$12$ |
[0,6] |
$3^{16}\cdot 13^{9}$ |
$2$ |
$29.6223280501$ |
$29.622328050127763$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[3, 3]$ |
$2$ |
$5$ |
$1744.53950676$ |
| 12.0.469804094334435328.1 |
$x^{12} + 26 x^{10} + 260 x^{8} + 1248 x^{6} + 2912 x^{4} + 2912 x^{2} + 832$ |
$12$ |
[0,6] |
$2^{18}\cdot 13^{11}$ |
$2$ |
$29.6933866267$ |
$29.69338662673638$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[26]$ |
$2$ |
$5$ |
$120.784031363$ |
| 12.12.469...328.1 |
$x^{12} - 26 x^{10} + 260 x^{8} - 1248 x^{6} + 2912 x^{4} - 2912 x^{2} + 832$ |
$12$ |
[12,0] |
$2^{18}\cdot 13^{11}$ |
$2$ |
$29.6933866267$ |
$29.69338662673638$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
trivial |
$2$ |
$11$ |
$58970.2615651$ |
| 12.12.683...097.1 |
$x^{12} - x^{11} - 28 x^{10} + 31 x^{9} + 232 x^{8} - 249 x^{7} - 742 x^{6} + 716 x^{5} + 925 x^{4} - 785 x^{3} - 388 x^{2} + 288 x + 13$ |
$12$ |
[12,0] |
$7^{8}\cdot 17^{9}$ |
$2$ |
$30.636234449$ |
$30.636234448963954$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
trivial |
$2$ |
$11$ |
$122189.376313$ |
| 12.12.116...125.1 |
$x^{12} - x^{11} - 30 x^{10} + 10 x^{9} + 291 x^{8} - 20 x^{7} - 1136 x^{6} + 90 x^{5} + 1881 x^{4} - 395 x^{3} - 1100 x^{2} + 409 x + 31$ |
$12$ |
[12,0] |
$3^{6}\cdot 5^{9}\cdot 13^{8}$ |
$3$ |
$32.0196833045$ |
$32.01968330451422$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
trivial |
$2$ |
$11$ |
$178876.95142$ |
| 12.0.166...125.1 |
$x^{12} - x^{11} + 11 x^{10} - 13 x^{9} + 115 x^{8} - 46 x^{7} + 1092 x^{6} - 632 x^{5} + 11184 x^{4} - 8768 x^{3} + 6912 x^{2} - 5120 x + 4096$ |
$12$ |
[0,6] |
$5^{9}\cdot 31^{8}$ |
$2$ |
$32.9965574826$ |
$32.99655748259533$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[3, 3]$ |
$10$ |
$5$ |
$4882.16021651$ |
| 12.0.225...000.1 |
$x^{12} + 35 x^{10} + 455 x^{8} + 2800 x^{6} + 8575 x^{4} + 12250 x^{2} + 6125$ |
$12$ |
[0,6] |
$2^{12}\cdot 5^{9}\cdot 7^{10}$ |
$3$ |
$33.8458843071$ |
$33.8458843070916$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[2, 26]$ |
$2$ |
$5$ |
$104.882003477$ |
| 12.0.242...408.1 |
$x^{12} + 28 x^{10} + 266 x^{8} + 1064 x^{6} + 1960 x^{4} + 1568 x^{2} + 392$ |
$12$ |
[0,6] |
$2^{33}\cdot 7^{10}$ |
$2$ |
$34.0471571079$ |
$34.04715710793443$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[2, 26]$ |
$2$ |
$5$ |
$279.150027194$ |
| 12.12.242...408.1 |
$x^{12} - 28 x^{10} + 266 x^{8} - 1064 x^{6} + 1960 x^{4} - 1568 x^{2} + 392$ |
$12$ |
[12,0] |
$2^{33}\cdot 7^{10}$ |
$2$ |
$34.0471571079$ |
$34.04715710793443$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
trivial |
$2$ |
$11$ |
$210000.803399$ |
| 12.12.295...000.1 |
$x^{12} - 4 x^{11} - 32 x^{10} + 124 x^{9} + 339 x^{8} - 1252 x^{7} - 1458 x^{6} + 4864 x^{5} + 2480 x^{4} - 6484 x^{3} - 1580 x^{2} + 2052 x - 239$ |
$12$ |
[12,0] |
$2^{18}\cdot 5^{9}\cdot 7^{8}$ |
$3$ |
$34.6075767003$ |
$34.607576700316336$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
trivial |
$2$ |
$11$ |
$193697.65851$ |
| 12.0.295...000.1 |
$x^{12} - 4 x^{11} + 28 x^{10} - 76 x^{9} + 359 x^{8} - 772 x^{7} + 2662 x^{6} - 4216 x^{5} + 11540 x^{4} - 13284 x^{3} + 37260 x^{2} - 26468 x + 52681$ |
$12$ |
[0,6] |
$2^{18}\cdot 5^{9}\cdot 7^{8}$ |
$3$ |
$34.6075767003$ |
$34.607576700316336$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[146]$ |
$2$ |
$5$ |
$104.882003477$ |
| 12.12.299...877.1 |
$x^{12} - x^{11} - 31 x^{10} + 28 x^{9} + 292 x^{8} - 208 x^{7} - 946 x^{6} + 596 x^{5} + 1123 x^{4} - 672 x^{3} - 369 x^{2} + 215 x + 1$ |
$12$ |
[12,0] |
$7^{10}\cdot 13^{9}$ |
$2$ |
$34.6502107884$ |
$34.650210788360646$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
trivial |
$2$ |
$11$ |
$204760.951816$ |
| 12.0.309...000.1 |
$x^{12} + 30 x^{10} + 315 x^{8} + 1500 x^{6} + 3375 x^{4} + 3375 x^{2} + 1125$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{18}\cdot 5^{9}$ |
$3$ |
$34.7487655586$ |
$34.748765558648074$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[10, 10]$ |
$2$ |
$5$ |
$201.000834787$ |
| 12.12.317...757.1 |
$x^{12} - x^{11} - 38 x^{10} + 38 x^{9} + 547 x^{8} - 547 x^{7} - 3665 x^{6} + 3665 x^{5} + 11077 x^{4} - 11077 x^{3} - 11036 x^{2} + 11036 x - 1559$ |
$12$ |
[12,0] |
$11^{6}\cdot 13^{11}$ |
$2$ |
$34.8185821491$ |
$34.818582149143644$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
trivial |
$2$ |
$11$ |
$162467.601473$ |
| 12.0.332...488.1 |
$x^{12} + 24 x^{10} + 180 x^{8} + 552 x^{6} + 756 x^{4} + 432 x^{2} + 72$ |
$12$ |
[0,6] |
$2^{33}\cdot 3^{18}$ |
$2$ |
$34.9554075629$ |
$34.955407562927284$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[26]$ |
$2$ |
$5$ |
$481.700375615$ |
| 12.12.332...488.1 |
$x^{12} - 24 x^{10} + 180 x^{8} - 552 x^{6} + 756 x^{4} - 432 x^{2} + 72$ |
$12$ |
[12,0] |
$2^{33}\cdot 3^{18}$ |
$2$ |
$34.9554075629$ |
$34.955407562927284$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
trivial |
$2$ |
$11$ |
$153152.667026$ |
| 12.12.350...625.1 |
$x^{12} - x^{11} - 25 x^{10} + 25 x^{9} + 196 x^{8} - 170 x^{7} - 571 x^{6} + 350 x^{5} + 586 x^{4} - 105 x^{3} - 155 x^{2} - x + 1$ |
$12$ |
[12,0] |
$5^{9}\cdot 13^{11}$ |
$2$ |
$35.1028390564$ |
$35.10283905640381$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
$[2]$ |
$2$ |
$11$ |
$159472.612285$ |
| 12.12.350...625.2 |
$x^{12} - x^{11} - 25 x^{10} + 25 x^{9} + 196 x^{8} - 170 x^{7} - 571 x^{6} + 350 x^{5} + 586 x^{4} - 170 x^{3} - 90 x^{2} - x + 1$ |
$12$ |
[12,0] |
$5^{9}\cdot 13^{11}$ |
$2$ |
$35.1028390564$ |
$35.10283905640381$ |
|
✓ |
|
$C_{12}$ (as 12T1) |
$[2]$ |
$2$ |
$11$ |
$215343.952274$ |
| 12.12.410...397.1 |
$x^{12} - 30 x^{10} - 17 x^{9} + 279 x^{8} + 285 x^{7} - 752 x^{6} - 909 x^{5} + 600 x^{4} + 858 x^{3} - 72 x^{2} - 243 x - 51$ |
$12$ |
[12,0] |
$3^{18}\cdot 13^{9}$ |
$2$ |
$35.5745484537$ |
$35.57454845374513$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
trivial |
$2$ |
$11$ |
$520561.482962$ |
| 12.12.510...337.1 |
$x^{12} - 3 x^{11} - 27 x^{10} + 64 x^{9} + 231 x^{8} - 435 x^{7} - 819 x^{6} + 1107 x^{5} + 1245 x^{4} - 867 x^{3} - 765 x^{2} + 17$ |
$12$ |
[12,0] |
$3^{16}\cdot 17^{9}$ |
$2$ |
$36.2241633834$ |
$36.22416338336863$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
trivial |
$2$ |
$11$ |
$177307.633839$ |
| 12.0.535...408.1 |
$x^{12} + 39 x^{10} + 585 x^{8} + 4212 x^{6} + 14742 x^{4} + 22113 x^{2} + 9477$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{6}\cdot 13^{11}$ |
$3$ |
$36.3668229853$ |
$36.36682298534298$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[2, 2, 26]$ |
$2$ |
$5$ |
$120.784031363$ |
| 12.12.652...000.1 |
$x^{12} - 4 x^{11} - 25 x^{10} + 90 x^{9} + 206 x^{8} - 660 x^{7} - 511 x^{6} + 2010 x^{5} - 219 x^{4} - 2040 x^{3} + 1290 x^{2} - 54 x - 79$ |
$12$ |
[12,0] |
$2^{12}\cdot 5^{9}\cdot 13^{8}$ |
$3$ |
$36.9731455505$ |
$36.9731455504557$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
trivial |
$2$ |
$11$ |
$344057.048857$ |
| 12.0.686...125.1 |
$x^{12} - x^{11} + 13 x^{10} - 36 x^{9} + 203 x^{8} + 718 x^{7} + 2114 x^{6} + 4269 x^{5} + 13201 x^{4} + 14773 x^{3} + 16093 x^{2} + 15972 x + 14641$ |
$12$ |
[0,6] |
$5^{9}\cdot 37^{8}$ |
$2$ |
$37.1274668761$ |
$37.12746687605088$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[7, 7]$ |
$10$ |
$5$ |
$5133.82158211$ |
| 12.0.700...832.1 |
$x^{12} - 4 x^{11} + 2 x^{10} + 71 x^{8} - 60 x^{7} - 166 x^{6} - 468 x^{5} + 234 x^{4} + 2196 x^{3} + 5160 x^{2} + 3408 x + 2417$ |
$12$ |
[0,6] |
$2^{33}\cdot 13^{8}$ |
$2$ |
$37.1930153725$ |
$37.1930153725407$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[13]$ |
$2$ |
$5$ |
$930.687500645$ |
| 12.12.700...832.1 |
$x^{12} - 4 x^{11} - 22 x^{10} + 80 x^{9} + 159 x^{8} - 508 x^{7} - 406 x^{6} + 1276 x^{5} + 194 x^{4} - 1100 x^{3} + 184 x^{2} + 256 x - 79$ |
$12$ |
[12,0] |
$2^{33}\cdot 13^{8}$ |
$2$ |
$37.1930153725$ |
$37.1930153725407$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
trivial |
$2$ |
$11$ |
$329963.498245$ |
| 12.12.989...125.1 |
$x^{12} - 3 x^{11} - 36 x^{10} + 106 x^{9} + 393 x^{8} - 1164 x^{7} - 1350 x^{6} + 4794 x^{5} + 441 x^{4} - 6643 x^{3} + 1926 x^{2} + 2865 x - 1349$ |
$12$ |
[12,0] |
$3^{16}\cdot 5^{9}\cdot 7^{6}$ |
$3$ |
$38.2770267991$ |
$38.27702679912765$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
trivial |
$2$ |
$11$ |
$413348.51768$ |
| 12.0.103...637.1 |
$x^{12} - x^{11} + x^{10} - 27 x^{9} + 27 x^{8} + 90 x^{7} + 53 x^{6} - 1353 x^{5} + 768 x^{4} + 3886 x^{3} + 1600 x^{2} - 5409 x + 1847$ |
$12$ |
[0,6] |
$7^{8}\cdot 13^{11}$ |
$2$ |
$38.4161141302$ |
$38.416114130176354$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[3]$ |
$2$ |
$5$ |
$6176.96689838$ |
| 12.0.103...637.2 |
$x^{12} - x^{11} + x^{10} - 27 x^{9} + 27 x^{8} - 183 x^{7} + 326 x^{6} + 649 x^{5} + 131 x^{4} - 573 x^{3} + 1782 x^{2} - 2133 x + 4941$ |
$12$ |
[0,6] |
$7^{8}\cdot 13^{11}$ |
$2$ |
$38.4161141302$ |
$38.416114130176354$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[111]$ |
$2$ |
$5$ |
$17569.0378451$ |
