| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Narrow class group |
Unit group torsion |
Unit group rank |
Regulator |
| 12.0.1911029760000.1 |
$x^{12} - 6 x^{11} + 17 x^{10} - 30 x^{9} + 42 x^{8} - 54 x^{7} + 69 x^{6} - 78 x^{5} + 68 x^{4} - 42 x^{3} + 19 x^{2} - 6 x + 1$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{6}\cdot 5^{4}$ |
$3$ |
$10.5545313495$ |
$18.047994736019533$ |
|
|
? |
$S_3^2$ (as 12T16) |
trivial |
trivial |
$6$ |
$5$ |
$39.8431596208$ |
| 12.0.7430465388544.3 |
$x^{12} + 2 x^{10} + 4 x^{8} - 4 x^{6} + 20 x^{4} - 16 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{22}\cdot 11^{6}$ |
$2$ |
$11.8191070971$ |
$11.819107097120389$ |
|
✓ |
? |
$D_6$ (as 12T3) |
trivial |
trivial |
$2$ |
$5$ |
$32.3759085892$ |
| 12.0.18238415044608.2 |
$x^{12} - 2 x^{11} + x^{10} + 10 x^{9} - 20 x^{8} + 18 x^{7} + 19 x^{6} - 58 x^{5} + 74 x^{4} - 50 x^{3} + 23 x^{2} - 6 x + 1$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{3}\cdot 11^{5}$ |
$3$ |
$12.7374431269$ |
$20.471293992310418$ |
|
|
? |
$S_3\times D_4$ (as 12T28) |
trivial |
trivial |
$2$ |
$5$ |
$55.4369397158$ |
| 12.0.20061226008576.3 |
$x^{12} - 6 x^{11} + 13 x^{10} - 10 x^{9} - 8 x^{8} + 26 x^{7} - 35 x^{6} + 38 x^{5} - 2 x^{4} - 42 x^{3} + 43 x^{2} - 18 x + 3$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{14}$ |
$2$ |
$12.8389583272$ |
$26.706109521254483$ |
|
|
|
$S_3^2$ (as 12T16) |
trivial |
trivial |
$6$ |
$5$ |
$426.206248058$ |
| 12.0.20061226008576.4 |
$x^{12} + 6 x^{10} - 44 x^{6} + 60 x^{4} - 24 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{14}$ |
$2$ |
$12.8389583272$ |
$12.838958327203956$ |
|
✓ |
? |
$D_6$ (as 12T3) |
trivial |
trivial |
$6$ |
$5$ |
$251.029261158$ |
| 12.0.44767018745856.2 |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{6} + 4 x^{4} + 4$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{6}\cdot 11^{4}$ |
$3$ |
$13.7271331986$ |
$20.471293992310418$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
trivial |
$6$ |
$5$ |
$190.610034603$ |
| 12.0.157351936000000.1 |
$x^{12} + 2 x^{10} + 4 x^{8} + 12 x^{6} + 20 x^{4} + 16 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{22}\cdot 5^{6}\cdot 7^{4}$ |
$3$ |
$15.2430780797$ |
$21.082511580717696$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
trivial |
$2$ |
$5$ |
$122.745231173$ |
| 12.0.197324726861824.13 |
$x^{12} - 2 x^{10} + 8 x^{8} - 4 x^{6} + 12 x^{4} + 8 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{22}\cdot 19^{6}$ |
$2$ |
$15.5333499252$ |
$32.430491158734085$ |
|
|
|
$C_2 \times S_4$ (as 12T24) |
trivial |
trivial |
$2$ |
$5$ |
$518.48125741$ |
| 12.0.197324726861824.14 |
$x^{12} - 10 x^{10} + 48 x^{8} - 92 x^{6} + 60 x^{4} + 8 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{22}\cdot 19^{6}$ |
$2$ |
$15.5333499252$ |
$15.533349925214662$ |
|
✓ |
|
$D_6$ (as 12T3) |
trivial |
trivial |
$2$ |
$5$ |
$224.158987299$ |
| 12.4.1194393600000000.1 |
$x^{12} - 2 x^{11} + x^{10} + 10 x^{9} - 10 x^{8} + 22 x^{7} - 49 x^{6} + 22 x^{5} - 10 x^{4} + 10 x^{3} + x^{2} - 2 x + 1$ |
$12$ |
[4,4] |
$2^{22}\cdot 3^{6}\cdot 5^{8}$ |
$3$ |
$18.047994736019533$ |
$23.600649568042265$ |
|
|
? |
$S_3\times D_6$ (as 12T37) |
trivial |
$[2]$ |
$2$ |
$7$ |
$1182.004998281596$ |
| 12.0.1194393600000000.1 |
$x^{12} + 6 x^{10} + 24 x^{8} + 76 x^{6} + 156 x^{4} - 24 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{6}\cdot 5^{8}$ |
$3$ |
$18.047994736$ |
$18.047994736019533$ |
|
✓ |
|
$D_6$ (as 12T3) |
$[3]$ |
$[3]$ |
$6$ |
$5$ |
$2540.93862393$ |
| 12.0.1624959306694656.21 |
$x^{12} + 40 x^{6} + 16$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{18}$ |
$2$ |
$18.5169821306$ |
$23.63726112518516$ |
|
|
? |
$S_3^2$ (as 12T16) |
trivial |
trivial |
$6$ |
$5$ |
$2884.21108845$ |
| 12.0.1624959306694656.35 |
$x^{12} - 6 x^{11} + 21 x^{10} - 42 x^{9} + 54 x^{8} - 54 x^{7} + 85 x^{6} - 174 x^{5} + 132 x^{4} + 42 x^{3} + 27 x^{2} - 198 x + 121$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{18}$ |
$2$ |
$18.5169821306$ |
$34.0908297010423$ |
|
|
? |
$S_3^2$ (as 12T16) |
trivial |
trivial |
$6$ |
$5$ |
$2679.51926649$ |
| 12.0.1721085137518592.1 |
$x^{12} - 2 x^{11} + 3 x^{10} - 14 x^{9} + 32 x^{8} - 70 x^{7} + 141 x^{6} - 162 x^{5} + 128 x^{4} - 110 x^{3} + 67 x^{2} - 14 x + 3$ |
$12$ |
[0,6] |
$2^{22}\cdot 17^{7}$ |
$2$ |
$18.6058791677$ |
$37.780041142444276$ |
|
|
? |
$\SOPlus(4,2)$ (as 12T36) |
trivial |
trivial |
$2$ |
$5$ |
$1064.01224806$ |
| 12.0.1721085137518592.3 |
$x^{12} - 6 x^{11} + 29 x^{10} - 90 x^{9} + 242 x^{8} - 494 x^{7} + 893 x^{6} - 1262 x^{5} + 1594 x^{4} - 1514 x^{3} + 1309 x^{2} - 702 x + 387$ |
$12$ |
[0,6] |
$2^{22}\cdot 17^{7}$ |
$2$ |
$18.6058791677$ |
$37.780041142444276$ |
|
|
? |
$\SOPlus(4,2)$ (as 12T35) |
trivial |
trivial |
$2$ |
$5$ |
$554.099176051$ |
| 12.0.2494869834563584.3 |
$x^{12} - 2 x^{11} + 5 x^{10} - 6 x^{9} + 20 x^{8} - 2 x^{7} + 29 x^{6} + 2 x^{5} + 20 x^{4} + 6 x^{3} + 5 x^{2} + 2 x + 1$ |
$12$ |
[0,6] |
$2^{22}\cdot 29^{6}$ |
$2$ |
$19.1905456946$ |
$44.533499491161095$ |
|
|
|
$C_2\times S_5$ (as 12T123) |
trivial |
trivial |
$2$ |
$5$ |
$2189.03641237$ |
| 12.0.2823801783975936.1 |
$x^{12} + 2 x^{10} - 12 x^{8} - 12 x^{6} + 68 x^{4} - 32 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{6}\cdot 31^{4}$ |
$3$ |
$19.38962980191951$ |
$60.91020791678151$ |
|
|
? |
$C_6\times S_3$ (as 12T18) |
trivial |
trivial |
$6$ |
$5$ |
$1601.5903013107045$ |
| 12.0.5416809268248576.4 |
$x^{12} + 6 x^{10} + 16 x^{8} + 76 x^{6} + 268 x^{4} + 440 x^{2} + 484$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{6}\cdot 11^{6}$ |
$3$ |
$20.4712939923$ |
$20.471293992310418$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
$[4]$ |
$[4]$ |
$6$ |
$5$ |
$993.836580487$ |
| 12.0.5416809268248576.6 |
$x^{12} - 6 x^{10} + 36 x^{8} + 108 x^{6} + 1620 x^{4} + 3888 x^{2} + 2916$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{6}\cdot 11^{6}$ |
$3$ |
$20.4712939923$ |
$20.471293992310418$ |
|
✓ |
? |
$D_6$ (as 12T3) |
$[4]$ |
$[4]$ |
$2$ |
$5$ |
$190.025322067$ |
| 12.0.5730523913650176.1 |
$x^{12} - 6 x^{10} + 28 x^{8} - 44 x^{6} + 52 x^{4} - 16 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{6}\cdot 37^{4}$ |
$3$ |
$20.567564160712795$ |
$37.54480169274784$ |
✓ |
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
trivial |
$6$ |
$5$ |
$2714.3632154424627$ |
| 12.4.7710244864000000.1 |
$x^{12} - 40 x^{8} - 28 x^{6} + 400 x^{4} - 560 x^{2} + 196$ |
$12$ |
[4,4] |
$2^{22}\cdot 5^{6}\cdot 7^{6}$ |
$3$ |
$21.0825115807$ |
$21.082511580717696$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$[2]$ |
$2$ |
$7$ |
$2595.29470898$ |
| 12.0.7710244864000000.1 |
$x^{12} - 6 x^{11} + 29 x^{10} - 90 x^{9} + 140 x^{8} - 86 x^{7} + 25 x^{6} - 86 x^{5} + 140 x^{4} - 90 x^{3} + 29 x^{2} - 6 x + 1$ |
$12$ |
[0,6] |
$2^{22}\cdot 5^{6}\cdot 7^{6}$ |
$3$ |
$21.0825115807$ |
$21.082511580717696$ |
|
✓ |
? |
$D_6$ (as 12T3) |
$[2]$ |
$[2]$ |
$2$ |
$5$ |
$424.713505756$ |
| 12.0.7710244864000000.3 |
$x^{12} - 10 x^{10} + 48 x^{8} - 60 x^{6} + 76 x^{4} - 120 x^{2} + 100$ |
$12$ |
[0,6] |
$2^{22}\cdot 5^{6}\cdot 7^{6}$ |
$3$ |
$21.0825115807$ |
$21.082511580717696$ |
|
✓ |
|
$D_6$ (as 12T3) |
$[2]$ |
$[2]$ |
$2$ |
$5$ |
$2203.99851885$ |
| 12.0.10453488727228416.1 |
$x^{12} - 18 x^{10} + 136 x^{8} - 548 x^{6} + 1228 x^{4} - 1432 x^{2} + 676$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{6}\cdot 43^{4}$ |
$3$ |
$21.62411976019196$ |
$75.75789922542675$ |
|
|
? |
$C_6\times S_3$ (as 12T18) |
trivial |
trivial |
$6$ |
$5$ |
$2787.1636304529407$ |
| 12.0.10761436540174336.1 |
$x^{12} + 22 x^{10} + 120 x^{8} + 252 x^{6} + 220 x^{4} + 72 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{22}\cdot 37^{6}$ |
$2$ |
$21.676501364$ |
$21.67650136397908$ |
✓ |
✓ |
? |
$D_6$ (as 12T3) |
$[5]$ |
$[5]$ |
$2$ |
$5$ |
$220.342128705$ |
| 12.0.25600000000000000.1 |
$x^{12} - 2 x^{11} + 9 x^{10} + 10 x^{9} - 10 x^{8} - 2 x^{7} + 9 x^{6} + 2 x^{5} - 10 x^{4} - 10 x^{3} + 9 x^{2} + 2 x + 1$ |
$12$ |
[0,6] |
$2^{22}\cdot 5^{14}$ |
$2$ |
$23.299861015$ |
$43.18091413946323$ |
|
|
|
$C_2\times S_5$ (as 12T123) |
trivial |
trivial |
$2$ |
$5$ |
$8678.54836379$ |
| 12.0.34828517376000000.2 |
$x^{12} - 2 x^{11} - x^{10} + 18 x^{9} + 32 x^{8} - 10 x^{7} + 13 x^{6} + 54 x^{5} + 46 x^{4} - 50 x^{3} + 5 x^{2} + 6 x + 9$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{12}\cdot 5^{6}$ |
$3$ |
$23.905321137950686$ |
$59.71667630407939$ |
|
|
? |
$S_3\times D_6$ (as 12T37) |
trivial |
trivial |
$2$ |
$5$ |
$2554.499376495775$ |
| 12.0.48167003646590976.2 |
$x^{12} + 6 x^{10} + 48 x^{8} + 348 x^{6} + 1404 x^{4} + 2520 x^{2} + 1764$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{14}\cdot 7^{4}$ |
$3$ |
$24.5600437384$ |
$33.968690826903504$ |
✓ |
|
? |
$S_3 \times C_2^2$ (as 12T10) |
$[3]$ |
$[3]$ |
$6$ |
$5$ |
$4577.80021808165$ |
| 12.0.71234226397118464.23 |
$x^{12} + 18 x^{10} + 100 x^{8} + 228 x^{6} + 532 x^{4} + 1444$ |
$12$ |
[0,6] |
$2^{22}\cdot 19^{8}$ |
$2$ |
$25.3741046109$ |
$32.430491158734085$ |
|
|
? |
$C_2\times S_4$ (as 12T21) |
$[2]$ |
$[2]$ |
$2$ |
$5$ |
$1572.04078258$ |
| 12.0.71234226397118464.25 |
$x^{12} - 4 x^{10} + 44 x^{8} - 156 x^{6} + 856 x^{4} + 912 x^{2} + 1444$ |
$12$ |
[0,6] |
$2^{22}\cdot 19^{8}$ |
$2$ |
$25.3741046109$ |
$32.430491158734085$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
$[2]$ |
$[2]$ |
$2$ |
$5$ |
$1475.57651563$ |
| 12.0.77720518656000000.2 |
$x^{12} - 2 x^{11} + 5 x^{10} - 10 x^{9} + 62 x^{8} - 194 x^{7} + 437 x^{6} - 610 x^{5} + 614 x^{4} - 362 x^{3} + 149 x^{2} - 10 x + 19$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{4}\cdot 5^{6}\cdot 11^{4}$ |
$4$ |
$25.559046073183907$ |
$68.26463068551973$ |
|
|
|
$S_3\times D_6$ (as 12T37) |
trivial |
trivial |
$2$ |
$5$ |
$6324.985393826281$ |
| 12.4.114709561344000000.1 |
$x^{12} - 4 x^{10} - 36 x^{8} - 8 x^{6} + 96 x^{4} - 160 x^{2} + 16$ |
$12$ |
[4,4] |
$2^{22}\cdot 3^{6}\cdot 5^{6}\cdot 7^{4}$ |
$4$ |
$26.401785697706973$ |
$50.504799142017745$ |
|
|
? |
$S_3\times D_6$ (as 12T37) |
trivial |
$[2]$ |
$2$ |
$7$ |
$17122.522249490798$ |
| 12.0.131...136.38 |
$x^{12} - 6 x^{11} + 21 x^{10} - 50 x^{9} + 90 x^{8} - 126 x^{7} + 129 x^{6} - 90 x^{5} + 180 x^{4} - 290 x^{3} + 111 x^{2} + 30 x + 25$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{22}$ |
$2$ |
$26.7061095213$ |
$26.706109521254483$ |
|
✓ |
? |
$D_6$ (as 12T3) |
trivial |
trivial |
$6$ |
$5$ |
$21517.7627037$ |
| 12.0.131...136.44 |
$x^{12} + 60 x^{6} + 36$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{22}$ |
$2$ |
$26.7061095213$ |
$38.51687498161186$ |
|
|
? |
$S_3^2$ (as 12T16) |
trivial |
trivial |
$6$ |
$5$ |
$31629.4849309$ |
| 12.0.131...136.65 |
$x^{12} - 12 x^{9} + 336 x^{6} - 360 x^{3} + 108$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{22}$ |
$2$ |
$26.7061095213$ |
$34.0908297010423$ |
|
|
? |
$S_3^2$ (as 12T16) |
trivial |
trivial |
$6$ |
$5$ |
$27370.4191195$ |
| 12.0.131...136.67 |
$x^{12} - 6 x^{11} + 21 x^{10} - 50 x^{9} + 90 x^{8} - 126 x^{7} + 177 x^{6} - 234 x^{5} - 180 x^{4} + 670 x^{3} - 249 x^{2} - 114 x + 361$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{22}$ |
$2$ |
$26.7061095213$ |
$26.706109521254483$ |
|
✓ |
? |
$D_6$ (as 12T3) |
$[3, 3]$ |
$[3, 3]$ |
$6$ |
$5$ |
$3703.01164497$ |
| 12.0.131...136.76 |
$x^{12} - 6 x^{11} + 21 x^{10} - 26 x^{9} - 18 x^{8} + 90 x^{7} + 57 x^{6} - 522 x^{5} + 882 x^{4} - 542 x^{3} + 489 x^{2} - 1050 x + 625$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{22}$ |
$2$ |
$26.7061095213$ |
$38.51687498161186$ |
|
|
? |
$S_3^2$ (as 12T16) |
$[3]$ |
$[3]$ |
$6$ |
$5$ |
$7696.04332288$ |
| 12.0.209678066018942976.1 |
$x^{12} - 26 x^{10} + 272 x^{8} - 1356 x^{6} + 3036 x^{4} - 2104 x^{2} + 676$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{6}\cdot 7^{4}\cdot 13^{4}$ |
$4$ |
$27.762767122223604$ |
$124.8753008745792$ |
|
|
? |
$C_6\times S_3$ (as 12T18) |
$[3]$ |
$[3]$ |
$6$ |
$5$ |
$4699.920698268625$ |
| 12.4.224830740234240000.2 |
$x^{12} - 6 x^{11} + 13 x^{10} + 22 x^{9} - 222 x^{8} + 594 x^{7} - 711 x^{6} + 78 x^{5} + 1052 x^{4} - 1794 x^{3} + 1607 x^{2} - 826 x + 193$ |
$12$ |
[4,4] |
$2^{22}\cdot 3^{6}\cdot 5^{4}\cdot 7^{6}$ |
$4$ |
$27.924665155502705$ |
$47.75050573491051$ |
|
|
? |
$S_3\times D_6$ (as 12T37) |
trivial |
$[2]$ |
$2$ |
$7$ |
$19947.159000830226$ |
| 12.0.318180037037654016.1 |
$x^{12} - 8 x^{10} + 48 x^{8} - 124 x^{6} + 240 x^{4} - 32 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{6}\cdot 101^{4}$ |
$3$ |
$28.74458727935316$ |
$62.03112243036487$ |
✓ |
|
? |
$S_3 \times C_2^2$ (as 12T10) |
$[6]$ |
$[6]$ |
$6$ |
$5$ |
$7490.33305507108$ |
| 12.0.640000000000000000.5 |
$x^{12} - 6 x^{11} + 9 x^{10} + 10 x^{9} - 126 x^{7} + 201 x^{6} - 54 x^{5} + 120 x^{4} - 350 x^{3} + 289 x^{2} - 94 x + 11$ |
$12$ |
[0,6] |
$2^{22}\cdot 5^{16}$ |
$2$ |
$30.4683075789$ |
$43.18091413946323$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
$[4]$ |
$[4]$ |
$2$ |
$5$ |
$3829.18466489$ |
| 12.0.956740143610331136.2 |
$x^{12} - 6 x^{11} + 29 x^{10} - 74 x^{9} + 156 x^{8} - 294 x^{7} + 725 x^{6} - 1674 x^{5} + 1960 x^{4} - 1878 x^{3} + 4761 x^{2} - 6970 x + 3475$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{6}\cdot 7^{4}\cdot 19^{4}$ |
$4$ |
$31.506452037177112$ |
$160.82369896500984$ |
|
|
? |
$C_6\times S_3$ (as 12T18) |
$[3]$ |
$[3]$ |
$6$ |
$5$ |
$11296.77782473664$ |
| 12.0.101...000.1 |
$x^{12} - 12 x^{10} + 108 x^{8} - 428 x^{6} + 1272 x^{4} - 72 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{18}\cdot 5^{4}$ |
$3$ |
$31.6635940484$ |
$41.40523078218084$ |
✓ |
|
? |
$S_3 \times C_2^2$ (as 12T10) |
$[3]$ |
$[3]$ |
$6$ |
$5$ |
$19168.46386576396$ |
| 12.0.209...144.11 |
$x^{12} + 8 x^{10} - 12 x^{9} + 54 x^{8} - 28 x^{7} + 104 x^{6} - 264 x^{5} + 108 x^{4} - 160 x^{3} + 476 x^{2} + 88 x + 140$ |
$12$ |
[0,6] |
$2^{22}\cdot 29^{8}$ |
$2$ |
$33.6372376834$ |
$44.533499491161095$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
$[4]$ |
$[4]$ |
$2$ |
$5$ |
$13920.343519$ |
| 12.0.282...000.1 |
$x^{12} - 16 x^{9} + 92 x^{6} + 96 x^{3} + 36$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{16}\cdot 5^{6}$ |
$3$ |
$34.47743913926998$ |
$76.22941262089942$ |
|
|
? |
$S_3\times D_6$ (as 12T37) |
trivial |
trivial |
$2$ |
$5$ |
$31990.554279466513$ |
| 12.0.303...104.2 |
$x^{12} + 24 x^{10} + 208 x^{8} + 772 x^{6} + 1120 x^{4} + 512 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{6}\cdot 23^{2}\cdot 37^{4}$ |
$4$ |
$34.68466466910901$ |
$180.05854349460486$ |
✓ |
|
? |
$C_2^2\times S_4$ (as 12T48) |
$[20]$ |
$[20]$ |
$2$ |
$5$ |
$1105.0566726133131$ |
| 12.12.303...104.2 |
$x^{12} - 22 x^{10} + 156 x^{8} - 396 x^{6} + 308 x^{4} - 80 x^{2} + 4$ |
$12$ |
[12,0] |
$2^{22}\cdot 3^{6}\cdot 23^{2}\cdot 37^{4}$ |
$4$ |
$34.68466466910901$ |
$180.05854349460486$ |
|
|
? |
$C_2^2\times S_4$ (as 12T48) |
trivial |
$[2, 2]$ |
$2$ |
$11$ |
$258565.4771921371$ |
| 12.0.303...104.4 |
$x^{12} + 12 x^{10} + 100 x^{8} + 436 x^{6} + 1384 x^{4} + 2024 x^{2} + 2116$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{6}\cdot 23^{2}\cdot 37^{4}$ |
$4$ |
$34.68466466910901$ |
$180.05854349460486$ |
✓ |
|
? |
$C_2^2\times S_4$ (as 12T48) |
$[20]$ |
$[20]$ |
$6$ |
$5$ |
$3902.79606211808$ |
| 12.0.390...056.2 |
$x^{12} + 4 x^{6} + 196$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{18}\cdot 7^{4}$ |
$3$ |
$35.4217125284727$ |
$86.49596460469407$ |
|
|
? |
$C_6\times S_3$ (as 12T18) |
$[3]$ |
$[3]$ |
$6$ |
$5$ |
$49123.636581429666$ |
| 12.0.390...056.3 |
$x^{12} - 188 x^{6} + 9604$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{18}\cdot 7^{4}$ |
$3$ |
$35.4217125284727$ |
$67.75929844291484$ |
|
|
? |
$C_6\times S_3$ (as 12T18) |
$[3, 3]$ |
$[3, 3]$ |
$6$ |
$5$ |
$12089.95102629321$ |
