| 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 |
| 12.0.479174066176.1 |
$x^{12} - 4 x^{11} + 8 x^{10} - 8 x^{9} + 12 x^{7} - 16 x^{6} + 12 x^{5} - 8 x^{3} + 8 x^{2} - 4 x + 1$ |
$12$ |
[0,6] |
$2^{24}\cdot 13^{4}$ |
$2$ |
$9.40533875088$ |
$14.422205101855956$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$8$ |
$5$ |
$38.2966205367$ |
| 12.0.699484667904.2 |
$x^{12} - 2 x^{11} + 2 x^{10} - 4 x^{8} + 8 x^{7} - 8 x^{6} + 4 x^{5} + 4 x^{4} - 8 x^{3} + 8 x^{2} - 8 x + 4$ |
$12$ |
[0,6] |
$2^{16}\cdot 3^{6}\cdot 11^{4}$ |
$3$ |
$9.706548971$ |
$14.475390801626128$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$12$ |
$5$ |
$45.3340586454$ |
| 12.0.835600748544.2 |
$x^{12} - x^{10} - x^{8} + 3 x^{4} - 2 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{6}\cdot 23^{4}$ |
$3$ |
$9.85144419814$ |
$16.61324772583615$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$12$ |
$5$ |
$37.848640759$ |
| 12.0.951356390625.1 |
$x^{12} - x^{11} - 4 x^{10} + 10 x^{9} - 3 x^{8} - 14 x^{7} + 25 x^{6} - 25 x^{5} + 18 x^{4} - 7 x^{3} + 2 x^{2} - 2 x + 1$ |
$12$ |
[0,6] |
$3^{6}\cdot 5^{6}\cdot 17^{4}$ |
$3$ |
$9.95853077903$ |
$15.968719422671311$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$6$ |
$5$ |
$23.9717088872$ |
| 12.0.982540877824.2 |
$x^{12} - 5 x^{8} + 11 x^{4} + 1$ |
$12$ |
[0,6] |
$2^{26}\cdot 11^{4}$ |
$2$ |
$9.98533299144$ |
$14.891141822623867$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$8$ |
$5$ |
$50.9572018812$ |
| 12.0.1255701777561.1 |
$x^{12} - x^{11} - 2 x^{10} - 5 x^{9} + 7 x^{8} + 8 x^{7} - 7 x^{6} + 8 x^{5} + 7 x^{4} - 5 x^{3} - 2 x^{2} - x + 1$ |
$12$ |
[0,6] |
$3^{6}\cdot 7^{6}\cdot 11^{4}$ |
$3$ |
$10.1915571091$ |
$15.198684153570664$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$6$ |
$5$ |
$31.9939808747$ |
| 12.0.2111929749504.2 |
$x^{12} - 7 x^{10} + 18 x^{8} - 20 x^{6} + 9 x^{4} - x^{2} + 1$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{6}\cdot 29^{4}$ |
$3$ |
$10.6428176781$ |
$18.65475810617763$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$12$ |
$5$ |
$75.7699549511$ |
| 12.0.2111929749504.3 |
$x^{12} - 4 x^{9} - x^{8} - 2 x^{7} + 8 x^{6} + 2 x^{5} + 5 x^{4} - 10 x^{3} + 2 x^{2} - 4 x + 4$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{6}\cdot 29^{4}$ |
$3$ |
$10.6428176781$ |
$18.65475810617763$ |
|
|
|
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$12$ |
$5$ |
$111.07171623$ |
| 12.0.2186423566336.1 |
$x^{12} - 4 x^{11} + 8 x^{10} - 12 x^{9} + 24 x^{8} - 44 x^{7} + 56 x^{6} - 44 x^{5} + 24 x^{4} - 12 x^{3} + 8 x^{2} - 4 x + 1$ |
$12$ |
[0,6] |
$2^{24}\cdot 19^{4}$ |
$2$ |
$10.6736065949$ |
$17.435595774162696$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$8$ |
$5$ |
$93.3751983328$ |
| 12.0.2458624000000.1 |
$x^{12} + 5 x^{10} + 10 x^{8} + 17 x^{6} + 10 x^{4} + 5 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{16}\cdot 5^{6}\cdot 7^{4}$ |
$3$ |
$10.7784838763$ |
$14.907586903169404$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$4$ |
$5$ |
$36.2997821216$ |
| 12.0.2757618929664.1 |
$x^{12} + 2 x^{10} + 3 x^{8} + 4 x^{6} + 3 x^{4} - x^{2} + 1$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{6}\cdot 31^{4}$ |
$3$ |
$10.8820617917$ |
$19.28730152198591$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$12$ |
$5$ |
$94.6315405863$ |
| 12.0.3100814593569.1 |
$x^{12} - 2 x^{11} - 4 x^{10} + 5 x^{9} + 8 x^{8} - 5 x^{7} + 5 x^{6} + 2 x^{5} - 13 x^{4} - 8 x^{3} + 8 x^{2} + 5 x + 1$ |
$12$ |
[0,6] |
$3^{6}\cdot 7^{4}\cdot 11^{6}$ |
$3$ |
$10.988953018$ |
$15.198684153570664$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$6$ |
$5$ |
$78.1710546998$ |
| 12.0.3187563890625.1 |
$x^{12} - x^{11} + 2 x^{10} - 7 x^{9} + 2 x^{8} + 2 x^{7} + 17 x^{6} + 13 x^{5} + 8 x^{4} + 8 x^{3} + 3 x^{2} + 1$ |
$12$ |
[0,6] |
$3^{6}\cdot 5^{6}\cdot 23^{4}$ |
$3$ |
$11.0142494518$ |
$18.57417562100671$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$6$ |
$5$ |
$38.9740399683$ |
| 12.0.3990277914624.1 |
$x^{12} + 9 x^{10} + 26 x^{8} + 21 x^{6} - 14 x^{4} - 15 x^{2} + 9$ |
$12$ |
[0,6] |
$2^{16}\cdot 3^{6}\cdot 17^{4}$ |
$3$ |
$11.2223444732$ |
$17.995272006877602$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$12$ |
$5$ |
$124.599981186$ |
| 12.0.4694952902656.5 |
$x^{12} - 3 x^{8} + 2 x^{4} + 1$ |
$12$ |
[0,6] |
$2^{24}\cdot 23^{4}$ |
$2$ |
$11.3754679194$ |
$19.183326093250876$ |
|
|
✓ |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$8$ |
$5$ |
$74.6017545943$ |
| 12.0.4818903040000.1 |
$x^{12} + 3 x^{10} - x^{8} - 7 x^{6} + 4 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{16}\cdot 5^{4}\cdot 7^{6}$ |
$3$ |
$11.4001968115$ |
$14.907586903169404$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$4$ |
$5$ |
$104.425667813$ |
| 12.0.5015306502144.4 |
$x^{12} - 6 x^{11} + 18 x^{10} - 34 x^{9} + 42 x^{8} - 30 x^{7} + 12 x^{6} + 6 x^{5} + 6 x^{4} + 2 x^{3} + 12 x^{2} + 6 x + 1$ |
$12$ |
[0,6] |
$2^{20}\cdot 3^{14}$ |
$2$ |
$11.438211516$ |
$14.411243462112033$ |
|
|
|
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$12$ |
$5$ |
$174.165203115$ |
| 12.0.5061276073984.1 |
$x^{12} - 3 x^{10} + 2 x^{8} + 13 x^{6} + 2 x^{4} - 3 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{20}\cdot 13^{6}$ |
$2$ |
$11.4469117752$ |
$14.422205101855956$ |
|
|
|
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$4$ |
$5$ |
$51.9137335603$ |
| 12.0.5458092097536.1 |
$x^{12} - 2 x^{10} - 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 2 x^{4} - 4 x^{3} - 2 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{18}\cdot 3^{6}\cdot 13^{4}$ |
$3$ |
$11.5191403988$ |
$17.663521732655695$ |
|
|
|
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$6$ |
$5$ |
$98.7163098502$ |
| 12.0.6226182733824.1 |
$x^{12} - 2 x^{11} + 2 x^{10} - 4 x^{7} + 8 x^{6} - 4 x^{5} - 4 x^{4} + 8 x^{3} + 4$ |
$12$ |
[0,6] |
$2^{16}\cdot 3^{6}\cdot 19^{4}$ |
$3$ |
$11.6462244367$ |
$19.02439065643758$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$12$ |
$5$ |
$180.061877312$ |
| 12.0.7001316000000.1 |
$x^{12} - x^{11} + 3 x^{10} - 8 x^{9} + 11 x^{8} - 15 x^{7} + 22 x^{6} - 15 x^{5} + 11 x^{4} - 8 x^{3} + 3 x^{2} - x + 1$ |
$12$ |
[0,6] |
$2^{8}\cdot 3^{6}\cdot 5^{6}\cdot 7^{4}$ |
$4$ |
$11.7606585174$ |
$16.266020425350614$ |
|
|
|
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$6$ |
$5$ |
$96.660284878$ |
| 12.0.8056372640625.1 |
$x^{12} - x^{11} + 11 x^{10} - 12 x^{9} + 39 x^{8} - 29 x^{7} + 41 x^{6} - 17 x^{5} + 17 x^{4} + x^{3} + 6 x^{2} + 3 x + 1$ |
$12$ |
[0,6] |
$3^{6}\cdot 5^{6}\cdot 29^{4}$ |
$3$ |
$11.8990319002$ |
$20.85665361461421$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$6$ |
$5$ |
$82.4746829456$ |
| 12.0.8745694265344.5 |
$x^{12} - x^{8} - 12 x^{6} + 35 x^{4} + 12 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{26}\cdot 19^{4}$ |
$2$ |
$11.9807183213$ |
$19.570794546160904$ |
|
|
|
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$8$ |
$5$ |
$220.847465947$ |
| 12.0.8916100448256.1 |
$x^{12} - 4 x^{9} + 8 x^{6} - 4 x^{3} + 1$ |
$12$ |
[0,6] |
$2^{24}\cdot 3^{12}$ |
$2$ |
$12.0$ |
$14.411243462112033$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$8$ |
$5$ |
$233.119995957$ |
| 12.0.10240000000000.2 |
$x^{12} + 4 x^{10} + 10 x^{6} + 4 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{20}\cdot 5^{10}$ |
$2$ |
$12.1392446201$ |
$15.2944898266346$ |
|
|
|
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$4$ |
$5$ |
$97.0654362682$ |
| 12.0.10519481390625.1 |
$x^{12} - 3 x^{10} - 8 x^{9} + 8 x^{8} + 13 x^{7} + 11 x^{6} - 2 x^{5} + 9 x^{3} + 2 x^{2} - x + 1$ |
$12$ |
[0,6] |
$3^{6}\cdot 5^{6}\cdot 31^{4}$ |
$3$ |
$12.1665149508$ |
$21.563858652847824$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$6$ |
$5$ |
$83.9532705942$ |
| 12.0.10997679875625.1 |
$x^{12} - 6 x^{11} + 11 x^{10} - 18 x^{8} + 6 x^{7} + 19 x^{6} - 12 x^{5} + 6 x^{4} - 18 x^{3} + 14 x^{2} - 3 x + 1$ |
$12$ |
[0,6] |
$3^{6}\cdot 5^{4}\cdot 17^{6}$ |
$3$ |
$12.2116708377$ |
$15.968719422671311$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$6$ |
$5$ |
$104.348722891$ |
| 12.0.11866206109696.2 |
$x^{12} - 8 x^{10} + 24 x^{8} - 32 x^{6} + 24 x^{4} - 8 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{24}\cdot 29^{4}$ |
$2$ |
$12.2892673027$ |
$21.540659228538015$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$8$ |
$5$ |
$243.22469675$ |
| 12.0.12244400640000.1 |
$x^{12} + 3 x^{10} - 3 x^{8} - 16 x^{6} + 18 x^{4} + 9 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{14}\cdot 5^{4}$ |
$3$ |
$12.321439841$ |
$16.11226001079096$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$12$ |
$5$ |
$196.107900244$ |
| 12.0.13722579360000.1 |
$x^{12} - x^{11} + 2 x^{10} + 3 x^{9} + 3 x^{7} + 7 x^{6} + 2 x^{5} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 4$ |
$12$ |
[0,6] |
$2^{8}\cdot 3^{6}\cdot 5^{4}\cdot 7^{6}$ |
$4$ |
$12.4390241958$ |
$16.266020425350614$ |
|
|
|
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$6$ |
$5$ |
$157.360285747$ |
| 12.0.14412774445056.1 |
$x^{12} - x^{11} - x^{10} - 4 x^{9} + 7 x^{8} - 3 x^{7} + 2 x^{6} + 3 x^{5} + 7 x^{4} + 4 x^{3} - x^{2} + x + 1$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{6}\cdot 13^{6}$ |
$3$ |
$12.4899959968$ |
$17.663521732655695$ |
|
|
|
$S_3 \times C_2^2$ (as 12T10) |
$[2]$ |
$6$ |
$5$ |
$102.897388412$ |
| 12.0.14992384000000.3 |
$x^{12} - 2 x^{11} + 2 x^{10} - 4 x^{9} + 20 x^{8} - 16 x^{7} + 20 x^{5} + 20 x^{4} + 8 x^{2} + 8 x + 4$ |
$12$ |
[0,6] |
$2^{16}\cdot 5^{6}\cdot 11^{4}$ |
$3$ |
$12.5311008379$ |
$18.687649168180677$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$4$ |
$5$ |
$66.2767777279$ |
| 12.0.15494111297536.4 |
$x^{12} + 2 x^{8} + 5 x^{4} + 1$ |
$12$ |
[0,6] |
$2^{24}\cdot 31^{4}$ |
$2$ |
$12.5655226096$ |
$22.271057451320086$ |
|
|
|
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$8$ |
$5$ |
$195.701388433$ |
| 12.0.16882212787209.1 |
$x^{12} + 9 x^{6} + 1$ |
$12$ |
[0,6] |
$3^{4}\cdot 7^{6}\cdot 11^{6}$ |
$3$ |
$12.6556886172$ |
$15.198684153570664$ |
|
|
|
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$2$ |
$5$ |
$44.6103431999$ |
| 12.0.17093056640625.1 |
$x^{12} - x^{11} + x^{10} + 4 x^{7} + 6 x^{6} - x^{5} + 16 x^{2} + 4 x + 1$ |
$12$ |
[0,6] |
$3^{6}\cdot 5^{10}\cdot 7^{4}$ |
$3$ |
$12.6687853437$ |
$17.522039336571268$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$6$ |
$5$ |
$119.53744494$ |
| 12.0.17909824000000.1 |
$x^{12} + 3 x^{10} + 15 x^{8} + 24 x^{6} + 11 x^{4} + 6 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{12}\cdot 5^{6}\cdot 23^{4}$ |
$3$ |
$12.7181597718$ |
$21.447610589527216$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$4$ |
$5$ |
$79.4192974154$ |
| 12.0.20061226008576.7 |
$x^{12} - 6 x^{10} + 3 x^{8} + 22 x^{6} + 21 x^{4} + 12 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{14}$ |
$2$ |
$12.8389583272$ |
$14.411243462112033$ |
|
|
|
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$6$ |
$5$ |
$303.169773528$ |
| 12.4.20245104295936.1 |
$x^{12} - 8 x^{10} + 23 x^{8} - 32 x^{6} + 25 x^{4} - 14 x^{2} + 4$ |
$12$ |
[4,4] |
$2^{22}\cdot 13^{6}$ |
$2$ |
$12.848724038$ |
$14.422205101855956$ |
|
|
|
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$2$ |
$7$ |
$105.806526397$ |
| 12.0.24000877066761.1 |
$x^{12} - x^{11} - x^{10} + 8 x^{9} - 7 x^{8} + 2 x^{7} + 29 x^{6} - 38 x^{5} + 20 x^{4} + 80 x^{3} - 48 x^{2} + 64$ |
$12$ |
[0,6] |
$3^{6}\cdot 7^{6}\cdot 23^{4}$ |
$3$ |
$13.0322357016$ |
$21.97726097583591$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$6$ |
$5$ |
$139.676677175$ |
| 12.0.24904730935296.1 |
$x^{12} - 2 x^{10} - 4 x^{9} + 6 x^{8} + 4 x^{7} + 6 x^{6} - 4 x^{5} + 6 x^{4} + 4 x^{3} - 2 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{18}\cdot 3^{6}\cdot 19^{4}$ |
$3$ |
$13.0724449363$ |
$21.354156504062622$ |
|
|
|
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$6$ |
$5$ |
$222.515040479$ |
| 12.0.29160000000000.3 |
$x^{12} - 2 x^{11} + 4 x^{10} - 2 x^{7} - 6 x^{6} + 2 x^{5} + 4 x^{2} + 2 x + 1$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{6}\cdot 5^{10}$ |
$3$ |
$13.2454167278$ |
$18.73184797572156$ |
|
|
|
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$6$ |
$5$ |
$289.97274914$ |
| 12.4.30549110765625.1 |
$x^{12} - 3 x^{11} - 2 x^{10} + 10 x^{9} + 8 x^{8} - 25 x^{7} - 11 x^{6} + 35 x^{5} - 3 x^{4} - 25 x^{3} + 3 x^{2} + 4 x - 1$ |
$12$ |
[4,4] |
$3^{4}\cdot 5^{6}\cdot 17^{6}$ |
$3$ |
$13.296884032$ |
$15.968719422671311$ |
|
|
|
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$2$ |
$7$ |
$110.939830987$ |
| 12.0.34012224000000.1 |
$x^{12} + 3 x^{6} + 1$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{12}\cdot 5^{6}$ |
$3$ |
$13.416407865$ |
$16.11226001079096$ |
|
|
✓ |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$4$ |
$5$ |
$143.314286365$ |
| 12.0.35664401793024.4 |
$x^{12} - 4 x^{9} + 22 x^{6} - 12 x^{3} + 2$ |
$12$ |
[0,6] |
$2^{26}\cdot 3^{12}$ |
$2$ |
$13.4695445797$ |
$16.17607385516733$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$8$ |
$5$ |
$430.618874831$ |
| 12.4.40960000000000.1 |
$x^{12} + 2 x^{10} + 10 x^{8} + 20 x^{6} - 15 x^{4} - 38 x^{2} + 4$ |
$12$ |
[4,4] |
$2^{22}\cdot 5^{10}$ |
$2$ |
$13.6258413812$ |
$15.2944898266346$ |
|
|
|
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$2$ |
$7$ |
$155.569752536$ |
| 12.0.42693156000000.1 |
$x^{12} - x^{11} - x^{10} - 12 x^{9} + 5 x^{8} + 19 x^{7} + 16 x^{6} + 17 x^{5} + 13 x^{4} + 14 x^{3} + 5 x^{2} - x + 1$ |
$12$ |
[0,6] |
$2^{8}\cdot 3^{6}\cdot 5^{6}\cdot 11^{4}$ |
$4$ |
$13.672980309$ |
$20.390535708149212$ |
|
|
|
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$6$ |
$5$ |
$226.979860035$ |
| 12.0.44767018745856.1 |
$x^{12} - 2 x^{10} + 4 x^{8} - 4 x^{6} + 4 x^{4} + 4$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{6}\cdot 11^{4}$ |
$3$ |
$13.7271331986$ |
$20.471293992310418$ |
|
|
? |
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$6$ |
$5$ |
$259.770492372$ |
| 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 |
$6$ |
$5$ |
$190.610034603$ |
| 12.0.47038089498624.2 |
$x^{12} - 6 x^{10} - 8 x^{9} + 6 x^{8} + 42 x^{7} + 62 x^{6} + 84 x^{5} + 90 x^{4} + 44 x^{3} + 54 x^{2} + 6 x + 13$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{14}\cdot 7^{4}$ |
$3$ |
$13.7838585006$ |
$19.06428314197696$ |
|
|
|
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$12$ |
$5$ |
$717.972976479$ |
| 12.0.49331181715456.10 |
$x^{12} + 3 x^{10} + 7 x^{8} + 10 x^{6} + 15 x^{4} + 19 x^{2} + 25$ |
$12$ |
[0,6] |
$2^{20}\cdot 19^{6}$ |
$2$ |
$13.8386415368$ |
$17.435595774162696$ |
|
|
|
$S_3 \times C_2^2$ (as 12T10) |
trivial |
$4$ |
$5$ |
$308.766993575$ |
