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 |
12.0.699484667904.1 |
$x^{12} - 6 x^{11} + 11 x^{10} - 18 x^{8} + 6 x^{7} + 13 x^{6} + 6 x^{5} - 18 x^{4} + 11 x^{2} - 6 x + 1$ |
$12$ |
[0,6] |
$2^{16}\cdot 3^{6}\cdot 11^{4}$ |
$3$ |
$9.706548971$ |
$21.58717165964639$ |
|
|
✓ |
$S_3^2$ (as 12T16) |
trivial |
$12$ |
$5$ |
$47.8583604356$ |
12.0.937024000000.1 |
$x^{12} - 4 x^{11} + 8 x^{10} - 12 x^{9} + 15 x^{8} - 18 x^{7} + 24 x^{6} - 26 x^{5} + 21 x^{4} - 18 x^{3} + 18 x^{2} - 12 x + 4$ |
$12$ |
[0,6] |
$2^{12}\cdot 5^{6}\cdot 11^{4}$ |
$3$ |
$9.94594132624$ |
$22.119575491524458$ |
|
|
|
$S_3^2$ (as 12T16) |
trivial |
$4$ |
$5$ |
$23.3043713908$ |
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 |
$6$ |
$5$ |
$39.8431596208$ |
12.0.4694952902656.12 |
$x^{12} - 4 x^{11} + 6 x^{10} - 14 x^{8} + 16 x^{7} + 10 x^{6} - 32 x^{5} + 9 x^{4} + 20 x^{3} - 12 x^{2} + 8$ |
$12$ |
[0,6] |
$2^{24}\cdot 23^{4}$ |
$2$ |
$11.3754679194$ |
$32.350317596360256$ |
|
|
|
$S_3^2$ (as 12T16) |
trivial |
$8$ |
$5$ |
$348.460837974$ |
12.0.6718464000000.1 |
$x^{12} - 4 x^{9} - 8 x^{8} + 4 x^{7} + 8 x^{6} + 16 x^{5} + 28 x^{4} + 16 x^{3} + 8 x^{2} + 8 x + 4$ |
$12$ |
[0,6] |
$2^{16}\cdot 3^{8}\cdot 5^{6}$ |
$3$ |
$11.7203118178$ |
$24.37923101332429$ |
|
|
|
$S_3^2$ (as 12T16) |
trivial |
$4$ |
$5$ |
$60.7440631476$ |
12.0.9003384318096.1 |
$x^{12} - 3 x^{11} + 12 x^{10} - 31 x^{9} + 69 x^{8} - 108 x^{7} + 143 x^{6} - 129 x^{5} + 78 x^{4} - 11 x^{3} - 3 x^{2} - 6 x + 4$ |
$12$ |
[0,6] |
$2^{4}\cdot 3^{14}\cdot 7^{6}$ |
$3$ |
$12.0097458159$ |
$19.31541720291671$ |
|
|
|
$S_3^2$ (as 12T16) |
trivial |
$6$ |
$5$ |
$158.849471083$ |
12.0.11866206109696.7 |
$x^{12} - 4 x^{11} + 8 x^{10} - 8 x^{9} + 11 x^{8} - 16 x^{7} + 34 x^{6} - 60 x^{5} + 78 x^{4} - 72 x^{3} + 56 x^{2} - 32 x + 8$ |
$12$ |
[0,6] |
$2^{24}\cdot 29^{4}$ |
$2$ |
$12.2892673027$ |
$37.756522709569445$ |
|
|
|
$S_3^2$ (as 12T16) |
trivial |
$8$ |
$5$ |
$607.66563083$ |
12.0.13722579360000.2 |
$x^{12} - 3 x^{11} + 3 x^{10} - x^{8} + 3 x^{7} - 6 x^{6} + 3 x^{5} + x^{4} + 6 x^{3} - 3 x^{2} - 9 x + 9$ |
$12$ |
[0,6] |
$2^{8}\cdot 3^{6}\cdot 5^{4}\cdot 7^{6}$ |
$4$ |
$12.4390241958$ |
$21.270432174892346$ |
|
|
|
$S_3^2$ (as 12T16) |
trivial |
$6$ |
$5$ |
$156.064739933$ |
12.0.19131876000000.2 |
$x^{12} - 6 x^{11} + 27 x^{10} - 80 x^{9} + 189 x^{8} - 342 x^{7} + 507 x^{6} - 594 x^{5} + 540 x^{4} - 362 x^{3} + 156 x^{2} - 36 x + 4$ |
$12$ |
[0,6] |
$2^{8}\cdot 3^{14}\cdot 5^{6}$ |
$3$ |
$12.7883092454$ |
$16.324507030901437$ |
|
|
|
$S_3^2$ (as 12T16) |
trivial |
$6$ |
$5$ |
$179.083690258$ |
12.0.19275612160000.1 |
$x^{12} - 6 x^{11} + 15 x^{10} - 20 x^{9} + 7 x^{8} + 26 x^{7} - 45 x^{6} + 26 x^{5} + 7 x^{4} - 20 x^{3} + 15 x^{2} - 6 x + 1$ |
$12$ |
[0,6] |
$2^{18}\cdot 5^{4}\cdot 7^{6}$ |
$3$ |
$12.7962882642$ |
$21.881345138484406$ |
|
|
✓ |
$S_3^2$ (as 12T16) |
trivial |
$2$ |
$5$ |
$51.797080045$ |
12.0.20061226008576.1 |
$x^{12} - 6 x^{11} + 21 x^{10} - 50 x^{9} + 72 x^{8} - 54 x^{7} + 33 x^{6} - 54 x^{5} + 72 x^{4} - 50 x^{3} + 21 x^{2} - 6 x + 1$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{14}$ |
$2$ |
$12.8389583272$ |
$16.3891614959171$ |
|
|
? |
$S_3^2$ (as 12T16) |
trivial |
$6$ |
$5$ |
$223.286274451$ |
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 |
$6$ |
$5$ |
$426.206248058$ |
12.0.25389989167104.6 |
$x^{12} + 8 x^{6} + 4$ |
$12$ |
[0,6] |
$2^{16}\cdot 3^{18}$ |
$2$ |
$13.0934836317$ |
$16.714067630295588$ |
|
|
? |
$S_3^2$ (as 12T16) |
trivial |
$12$ |
$5$ |
$373.878236453$ |
12.0.46708681640625.2 |
$x^{12} - 3 x^{11} + 3 x^{10} - 18 x^{7} + 99 x^{6} - 234 x^{5} + 315 x^{4} - 270 x^{3} + 153 x^{2} - 54 x + 9$ |
$12$ |
[0,6] |
$3^{14}\cdot 5^{10}$ |
$2$ |
$13.7757885325$ |
$17.585042122521724$ |
|
|
? |
$S_3^2$ (as 12T16) |
trivial |
$6$ |
$5$ |
$189.972610234$ |
12.0.72964670628096.1 |
$x^{12} - x^{11} - x^{10} + 12 x^{9} - 5 x^{8} - 5 x^{7} + 52 x^{6} - 35 x^{5} + 37 x^{4} + 24 x^{3} + 23 x^{2} + 5 x + 1$ |
$12$ |
[0,6] |
$2^{8}\cdot 3^{10}\cdot 13^{6}$ |
$3$ |
$14.297476307$ |
$20.620529060204074$ |
|
|
|
$S_3^2$ (as 12T16) |
$[2]$ |
$6$ |
$5$ |
$530.218430458$ |
12.0.101559956668416.8 |
$x^{12} - 4 x^{9} + 52 x^{6} + 24 x^{3} + 3$ |
$12$ |
[0,6] |
$2^{18}\cdot 3^{18}$ |
$2$ |
$14.6969384567$ |
$27.05790946495165$ |
|
|
|
$S_3^2$ (as 12T16) |
trivial |
$6$ |
$5$ |
$924.074917892$ |
12.0.128536820158464.5 |
$x^{12} - 6 x^{9} + 18 x^{6} - 18 x^{3} + 9$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{22}$ |
$2$ |
$14.9882971978$ |
$21.61686519316805$ |
|
|
|
$S_3^2$ (as 12T16) |
trivial |
$12$ |
$5$ |
$1358.21387368$ |
12.0.135573141513744.1 |
$x^{12} + 19 x^{6} + 16$ |
$12$ |
[0,6] |
$2^{4}\cdot 3^{14}\cdot 11^{6}$ |
$3$ |
$15.0550131194$ |
$18.96812793558615$ |
|
|
|
$S_3^2$ (as 12T16) |
trivial |
$6$ |
$5$ |
$1235.34036808$ |
12.0.197324726861824.3 |
$x^{12} - 4 x^{10} - 4 x^{9} + 30 x^{8} + 12 x^{7} + 24 x^{6} + 16 x^{5} + 36 x^{4} - 16 x^{3} + 28 x^{2} - 8 x + 4$ |
$12$ |
[0,6] |
$2^{22}\cdot 19^{6}$ |
$2$ |
$15.5333499252$ |
$15.533349925214662$ |
|
|
? |
$S_3^2$ (as 12T16) |
$[3]$ |
$2$ |
$5$ |
$92.5601767558$ |
12.0.294122500000000.1 |
$x^{12} - 3 x^{11} + 9 x^{10} - 20 x^{9} + 45 x^{8} - 63 x^{7} + 84 x^{6} - 87 x^{5} + 95 x^{4} - 40 x^{3} + 29 x^{2} - 7 x + 1$ |
$12$ |
[0,6] |
$2^{8}\cdot 5^{10}\cdot 7^{6}$ |
$3$ |
$16.0587111844$ |
$16.05871118442657$ |
|
|
|
$S_3^2$ (as 12T16) |
$[3]$ |
$2$ |
$5$ |
$99.6230030256$ |
12.0.302534120546064.1 |
$x^{12} - 6 x^{11} + 17 x^{10} - 30 x^{9} + 33 x^{8} - 18 x^{7} + 3 x^{6} - 6 x^{5} + 11 x^{4} - 6 x^{3} + 7 x^{2} - 6 x + 4$ |
$12$ |
[0,6] |
$2^{4}\cdot 3^{6}\cdot 11^{10}$ |
$3$ |
$16.096490473$ |
$20.28030717638181$ |
|
|
|
$S_3^2$ (as 12T16) |
trivial |
$6$ |
$5$ |
$1066.26888133$ |
12.0.490329056390625.1 |
$x^{12} + 9 x^{6} + 9$ |
$12$ |
[0,6] |
$3^{22}\cdot 5^{6}$ |
$2$ |
$16.7574257006$ |
$21.391155657968785$ |
|
|
? |
$S_3^2$ (as 12T16) |
trivial |
$6$ |
$5$ |
$653.087989569$ |
12.0.592143556000000.1 |
$x^{12} - 5 x^{11} + 13 x^{10} - 28 x^{9} + 63 x^{8} - 73 x^{7} - 18 x^{6} + 133 x^{5} - 33 x^{4} - 38 x^{3} + 37 x^{2} + 11 x + 1$ |
$12$ |
[0,6] |
$2^{8}\cdot 5^{6}\cdot 23^{6}$ |
$3$ |
$17.022979806$ |
$17.0229798060099$ |
|
|
|
$S_3^2$ (as 12T16) |
$[3]$ |
$2$ |
$5$ |
$113.600697009$ |
12.0.684178814003344.1 |
$x^{12} - 2 x^{11} + 9 x^{10} - 4 x^{9} + 21 x^{8} + 4 x^{7} + 39 x^{6} + 10 x^{5} + 45 x^{4} + 72 x^{3} + 31 x^{2} + 6 x + 4$ |
$12$ |
[0,6] |
$2^{4}\cdot 11^{6}\cdot 17^{6}$ |
$3$ |
$17.2291612308$ |
$21.707382906759687$ |
|
|
|
$S_3^2$ (as 12T16) |
trivial |
$2$ |
$5$ |
$434.489416235$ |
12.0.708051067974441.1 |
$x^{12} - 4 x^{9} + 31 x^{6} - 54 x^{3} + 27$ |
$12$ |
[0,6] |
$3^{14}\cdot 23^{6}$ |
$2$ |
$17.2784739214$ |
$17.278473921432806$ |
|
|
? |
$S_3^2$ (as 12T16) |
$[3]$ |
$6$ |
$5$ |
$548.375167004$ |
12.0.722204136308736.19 |
$x^{12} - 12 x^{9} + 18 x^{8} - 36 x^{7} + 72 x^{6} - 108 x^{5} + 249 x^{4} - 492 x^{3} + 648 x^{2} - 504 x + 196$ |
$12$ |
[0,6] |
$2^{24}\cdot 3^{16}$ |
$2$ |
$17.3069948437$ |
$28.201717329741804$ |
|
|
|
$S_3^2$ (as 12T16) |
trivial |
$8$ |
$5$ |
$7056.90615221$ |
12.0.1094032426497921.1 |
$x^{12} - 2 x^{9} + 109 x^{6} - 108 x^{3} + 27$ |
$12$ |
[0,6] |
$3^{6}\cdot 107^{6}$ |
$2$ |
$17.9164728672$ |
$17.916472867168917$ |
|
|
? |
$S_3^2$ (as 12T16) |
$[3]$ |
$6$ |
$5$ |
$416.079689155$ |
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 |
$6$ |
$5$ |
$2884.21108845$ |
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 |
$6$ |
$5$ |
$2679.51926649$ |
12.0.1699835058651136.5 |
$x^{12} - 4 x^{11} + 7 x^{10} + 6 x^{9} - 50 x^{8} + 88 x^{7} - 9 x^{6} - 242 x^{5} + 518 x^{4} - 580 x^{3} + 391 x^{2} - 150 x + 25$ |
$12$ |
[0,6] |
$2^{16}\cdot 11^{10}$ |
$2$ |
$18.5866262152$ |
$18.586626215205015$ |
|
|
|
$S_3^2$ (as 12T16) |
$[3]$ |
$4$ |
$5$ |
$764.959773081$ |
12.0.1776132919332864.1 |
$x^{12} - 4 x^{11} + 2 x^{10} + 12 x^{9} - 4 x^{8} - 34 x^{7} + 15 x^{6} + 44 x^{5} + 34 x^{4} - 14 x^{3} + 15 x^{2} - 4 x + 1$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{6}\cdot 29^{6}$ |
$3$ |
$18.6547581062$ |
$18.65475810617763$ |
|
|
? |
$S_3^2$ (as 12T16) |
$[6]$ |
$2$ |
$5$ |
$121.324729719$ |
12.0.2056589122535424.16 |
$x^{12} + 24 x^{6} + 36$ |
$12$ |
[0,6] |
$2^{16}\cdot 3^{22}$ |
$2$ |
$18.8840711416$ |
$27.23554348961223$ |
|
|
? |
$S_3^2$ (as 12T16) |
trivial |
$12$ |
$5$ |
$3653.20202443$ |
12.0.2056589122535424.22 |
$x^{12} - 12 x^{9} + 72 x^{6} - 144 x^{3} + 144$ |
$12$ |
[0,6] |
$2^{16}\cdot 3^{22}$ |
$2$ |
$18.8840711416$ |
$27.23554348961223$ |
|
|
? |
$S_3^2$ (as 12T16) |
trivial |
$12$ |
$5$ |
$2661.22266551$ |
12.0.3550014724000000.1 |
$x^{12} - 4 x^{11} + 11 x^{10} - 28 x^{9} + 96 x^{8} - 246 x^{7} + 359 x^{6} - 306 x^{5} + 174 x^{4} - 82 x^{3} + 33 x^{2} - 8 x + 1$ |
$12$ |
[0,6] |
$2^{8}\cdot 5^{6}\cdot 31^{6}$ |
$3$ |
$19.7629837187$ |
$19.762983718745776$ |
|
|
|
$S_3^2$ (as 12T16) |
$[6]$ |
$2$ |
$5$ |
$158.484910375$ |
12.0.4244902593608889.2 |
$x^{12} - 12 x^{9} + 83 x^{6} - 282 x^{3} + 343$ |
$12$ |
[0,6] |
$3^{14}\cdot 31^{6}$ |
$2$ |
$20.0596019431$ |
$20.05960194310363$ |
|
|
? |
$S_3^2$ (as 12T16) |
$[3]$ |
$6$ |
$5$ |
$1275.7519962$ |
12.0.6499837226778624.20 |
$x^{12} - 12 x^{10} + 54 x^{8} - 88 x^{6} - 39 x^{4} + 180 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{24}\cdot 3^{18}$ |
$2$ |
$20.7846096908$ |
$26.531928538998848$ |
|
|
|
$S_3^2$ (as 12T16) |
$[2]$ |
$4$ |
$5$ |
$11677.3828162$ |
12.0.6499837226778624.35 |
$x^{12} - 8 x^{9} + 36 x^{8} - 36 x^{7} + 30 x^{6} - 36 x^{5} + 81 x^{4} - 20 x^{3} - 18 x^{2} + 36 x + 22$ |
$12$ |
[0,6] |
$2^{24}\cdot 3^{18}$ |
$2$ |
$20.7846096908$ |
$26.531928538998848$ |
|
|
|
$S_3^2$ (as 12T16) |
$[2]$ |
$2$ |
$5$ |
$5519.71246192$ |
12.0.8226356490141696.13 |
$x^{12} + 18 x^{6} + 9$ |
$12$ |
[0,6] |
$2^{18}\cdot 3^{22}$ |
$2$ |
$21.196653174$ |
$27.05790946495165$ |
|
|
|
$S_3^2$ (as 12T16) |
trivial |
$6$ |
$5$ |
$9254.46013983$ |
12.0.8226356490141696.18 |
$x^{12} + 12 x^{6} - 36 x^{3} + 27$ |
$12$ |
[0,6] |
$2^{18}\cdot 3^{22}$ |
$2$ |
$21.196653174$ |
$30.57086393216915$ |
|
|
|
$S_3^2$ (as 12T16) |
trivial |
$6$ |
$5$ |
$10033.1456564$ |
12.0.8226356490141696.37 |
$x^{12} - 12 x^{9} + 84 x^{6} - 216 x^{3} + 243$ |
$12$ |
[0,6] |
$2^{18}\cdot 3^{22}$ |
$2$ |
$21.196653174$ |
$30.57086393216915$ |
|
|
|
$S_3^2$ (as 12T16) |
trivial |
$6$ |
$5$ |
$10963.7927108$ |
12.0.11057373810786304.1 |
$x^{12} - 10 x^{10} - 8 x^{9} + 63 x^{8} + 48 x^{7} - 60 x^{6} + 44 x^{5} + 231 x^{4} - 68 x^{3} + 58 x^{2} - 16 x + 4$ |
$12$ |
[0,6] |
$2^{18}\cdot 59^{6}$ |
$2$ |
$21.7255609824$ |
$21.72556098240043$ |
|
|
|
$S_3^2$ (as 12T16) |
$[3]$ |
$2$ |
$5$ |
$1026.50745875$ |
12.0.11957422500000000.1 |
$x^{12} + 3 x^{10} - 20 x^{9} + 60 x^{8} - 120 x^{7} + 275 x^{6} - 780 x^{5} + 1620 x^{4} - 2020 x^{3} + 1503 x^{2} - 660 x + 139$ |
$12$ |
[0,6] |
$2^{8}\cdot 3^{14}\cdot 5^{10}$ |
$3$ |
$21.8677012082$ |
$21.86770120822431$ |
|
|
|
$S_3^2$ (as 12T16) |
$[3]$ |
$6$ |
$5$ |
$1788.77885281$ |
12.12.49632710656000000.1 |
$x^{12} - 4 x^{11} - 16 x^{10} + 92 x^{9} - 15 x^{8} - 536 x^{7} + 878 x^{6} + 52 x^{5} - 1109 x^{4} + 720 x^{3} + 38 x^{2} - 104 x + 4$ |
$12$ |
[12,0] |
$2^{18}\cdot 5^{6}\cdot 59^{4}$ |
$3$ |
$24.6214711941$ |
$95.85129911201462$ |
|
|
|
$S_3^2$ (as 12T16) |
trivial |
$2$ |
$11$ |
$36826.9669087$ |
12.0.131...136.43 |
$x^{12} + 36 x^{6} + 36$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{22}$ |
$2$ |
$26.7061095213$ |
$34.0908297010423$ |
|
|
? |
$S_3^2$ (as 12T16) |
trivial |
$6$ |
$5$ |
$9679.77226969$ |
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 |
$6$ |
$5$ |
$31629.4849309$ |
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 |
$6$ |
$5$ |
$27370.4191195$ |
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) |
$[3]$ |
$6$ |
$5$ |
$7696.04332288$ |
12.0.131...136.88 |
$x^{12} + 72 x^{6} + 144$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{22}$ |
$2$ |
$26.7061095213$ |
$34.0908297010423$ |
|
|
? |
$S_3^2$ (as 12T16) |
trivial |
$6$ |
$5$ |
$24417.7400722$ |
12.0.169682989931106304.1 |
$x^{12} - 6 x^{11} + 21 x^{10} - 50 x^{9} + 67 x^{8} - 34 x^{7} + 3 x^{6} - 34 x^{5} + 67 x^{4} - 50 x^{3} + 21 x^{2} - 6 x + 1$ |
$12$ |
[0,6] |
$2^{12}\cdot 23^{10}$ |
$2$ |
$27.2774138202$ |
$27.277413820160554$ |
|
|
? |
$S_3^2$ (as 12T16) |
$[3]$ |
$4$ |
$5$ |
$3871.54935614$ |
12.12.268...000.1 |
$x^{12} - 6 x^{11} + x^{10} + 50 x^{9} - 80 x^{8} - 46 x^{7} + 161 x^{6} - 46 x^{5} - 80 x^{4} + 50 x^{3} + x^{2} - 6 x + 1$ |
$12$ |
[12,0] |
$2^{22}\cdot 3^{8}\cdot 5^{10}$ |
$3$ |
$28.3428922324$ |
$58.95559163116139$ |
|
|
|
$S_3^2$ (as 12T16) |
trivial |
$2$ |
$11$ |
$78474.0059169$ |