| 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 |
| 12.0.433626201009.1 |
$x^{12} - 2 x^{11} + 4 x^{10} - 2 x^{9} + 2 x^{8} - 2 x^{7} - 5 x^{6} + 2 x^{5} + 2 x^{4} + 2 x^{3} + 4 x^{2} + 2 x + 1$ |
$12$ |
[0,6] |
$3^{6}\cdot 29^{6}$ |
$2$ |
$9.32737905309$ |
$21.645076535339435$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
trivial |
$6$ |
$5$ |
$15.2893628315$ |
| 12.0.464404086784.1 |
$x^{12} - 2 x^{11} + 2 x^{10} - 2 x^{9} + 3 x^{8} - 2 x^{7} + 2 x^{5} + 3 x^{4} - 8 x^{3} + 8 x^{2} - 4 x + 1$ |
$12$ |
[0,6] |
$2^{18}\cdot 11^{6}$ |
$2$ |
$9.38083151965$ |
$18.09986519556776$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
trivial |
$4$ |
$5$ |
$16.592405995$ |
| 12.0.2313060765625.1 |
$x^{12} - 5 x^{11} + 15 x^{10} - 26 x^{9} + 31 x^{8} - 17 x^{7} - 3 x^{6} + 22 x^{5} - 15 x^{4} + 5 x^{3} + 5 x^{2} - 3 x + 1$ |
$12$ |
[0,6] |
$5^{6}\cdot 23^{6}$ |
$2$ |
$10.7238052948$ |
$23.48447625945622$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
trivial |
$2$ |
$5$ |
$12.6312647148$ |
| 12.0.3083198857216.2 |
$x^{12} - 3 x^{10} + 10 x^{8} - 15 x^{6} + 2 x^{4} + 5 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{16}\cdot 19^{6}$ |
$2$ |
$10.9837370667$ |
$22.931820215551248$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
trivial |
$4$ |
$5$ |
$34.7862274647$ |
| 12.0.7529536000000.1 |
$x^{12} - 6 x^{11} + 15 x^{10} - 20 x^{9} + 20 x^{8} - 26 x^{7} + 33 x^{6} - 26 x^{5} + 16 x^{4} - 12 x^{3} + 5 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{12}\cdot 5^{6}\cdot 7^{6}$ |
$3$ |
$11.8321595662$ |
$21.602807404215152$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
trivial |
$2$ |
$5$ |
$24.4843703707$ |
| 12.0.7529536000000.2 |
$x^{12} - 2 x^{11} + 5 x^{10} - 6 x^{9} + 13 x^{8} - 20 x^{7} + 23 x^{6} - 38 x^{5} + 42 x^{4} - 34 x^{3} + 22 x^{2} - 6 x + 2$ |
$12$ |
[0,6] |
$2^{12}\cdot 5^{6}\cdot 7^{6}$ |
$3$ |
$11.8321595662$ |
$19.85995155932405$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
trivial |
$2$ |
$5$ |
$65.7838148112$ |
| 12.0.20061226008576.11 |
$x^{12} - 3 x^{10} + 3 x^{8} - 6 x^{6} + 18 x^{4} - 36 x^{2} + 36$ |
$12$ |
[0,6] |
$2^{22}\cdot 3^{14}$ |
$2$ |
$12.8389583272$ |
$24.23672593327708$ |
|
|
|
$C_2 \times S_4$ (as 12T24) |
trivial |
$6$ |
$5$ |
$227.648985721$ |
| 12.0.20245104295936.2 |
$x^{12} - 2 x^{11} + 7 x^{10} - 6 x^{9} + 13 x^{8} - 20 x^{7} + 32 x^{6} - 36 x^{5} + 42 x^{4} - 40 x^{3} + 32 x^{2} - 16 x + 4$ |
$12$ |
[0,6] |
$2^{22}\cdot 13^{6}$ |
$2$ |
$12.848724038$ |
$27.385300168092183$ |
|
|
|
$C_2 \times S_4$ (as 12T24) |
trivial |
$2$ |
$5$ |
$61.5521891286$ |
| 12.0.20245104295936.3 |
$x^{12} + 9 x^{10} + 31 x^{8} + 54 x^{6} + 54 x^{4} + 28 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{22}\cdot 13^{6}$ |
$2$ |
$12.848724038$ |
$24.255161140409015$ |
|
|
|
$C_2 \times S_4$ (as 12T24) |
trivial |
$2$ |
$5$ |
$64.7806669996$ |
| 12.0.29160000000000.2 |
$x^{12} - 6 x^{11} + 21 x^{10} - 50 x^{9} + 90 x^{8} - 126 x^{7} + 131 x^{6} - 96 x^{5} + 60 x^{4} - 40 x^{3} + 21 x^{2} - 6 x + 1$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{6}\cdot 5^{10}$ |
$3$ |
$13.2454167278$ |
$19.56670089564809$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
trivial |
$2$ |
$5$ |
$75.1581480009$ |
| 12.0.29721861554176.1 |
$x^{12} + 4 x^{10} + 7 x^{8} + 4 x^{6} - x^{4} - 2 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{24}\cdot 11^{6}$ |
$2$ |
$13.2664991614$ |
$25.597074836696677$ |
|
|
✓ |
$C_2 \times S_4$ (as 12T24) |
trivial |
$2$ |
$5$ |
$115.982034494$ |
| 12.0.29721861554176.3 |
$x^{12} - 4 x^{10} + 7 x^{8} - 4 x^{6} - x^{4} + 2 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{24}\cdot 11^{6}$ |
$2$ |
$13.2664991614$ |
$25.597074836696677$ |
|
|
✓ |
$C_2 \times S_4$ (as 12T24) |
trivial |
$2$ |
$5$ |
$91.126737252$ |
| 12.0.29721861554176.5 |
$x^{12} - 4 x^{11} + 12 x^{10} - 32 x^{9} + 49 x^{8} - 52 x^{7} + 38 x^{6} + 8 x^{5} + 15 x^{4} + 12 x^{3} + 26 x^{2} + 8 x + 1$ |
$12$ |
[0,6] |
$2^{24}\cdot 11^{6}$ |
$2$ |
$13.2664991614$ |
$16.714741551887755$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
$[2]$ |
$4$ |
$5$ |
$94.0085507311$ |
| 12.0.29721861554176.6 |
$x^{12} - 4 x^{11} + 18 x^{10} - 48 x^{9} + 120 x^{8} - 212 x^{7} + 318 x^{6} - 340 x^{5} + 298 x^{4} - 172 x^{3} + 80 x^{2} - 12 x + 2$ |
$12$ |
[0,6] |
$2^{24}\cdot 11^{6}$ |
$2$ |
$13.2664991614$ |
$30.4402235190568$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
trivial |
$4$ |
$5$ |
$166.842264964$ |
| 12.0.29721861554176.8 |
$x^{12} - 4 x^{11} + 6 x^{10} - 4 x^{9} + 6 x^{8} - 12 x^{7} + 30 x^{6} - 88 x^{5} + 184 x^{4} - 236 x^{3} + 180 x^{2} - 76 x + 14$ |
$12$ |
[0,6] |
$2^{24}\cdot 11^{6}$ |
$2$ |
$13.2664991614$ |
$16.714741551887755$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
$[2]$ |
$2$ |
$5$ |
$56.5731936552$ |
| 12.0.33502391015625.2 |
$x^{12} + 2 x^{10} - 10 x^{9} + 6 x^{8} - 10 x^{7} + 23 x^{6} - 10 x^{5} + 6 x^{4} - 10 x^{3} + 2 x^{2} + 1$ |
$12$ |
[0,6] |
$3^{6}\cdot 5^{8}\cdot 7^{6}$ |
$3$ |
$13.3995326188$ |
$21.795365695370254$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
trivial |
$6$ |
$5$ |
$347.332085645$ |
| 12.0.38806720086016.1 |
$x^{12} - 4 x^{11} + 6 x^{10} + 2 x^{9} + 9 x^{8} - 30 x^{7} - 32 x^{5} + 22 x^{4} + 46 x^{3} + 24 x^{2} + 4 x + 1$ |
$12$ |
[0,6] |
$2^{18}\cdot 23^{6}$ |
$2$ |
$13.5646599663$ |
$16.131190144457708$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
$[2]$ |
$2$ |
$5$ |
$45.0203706198$ |
| 12.0.38806720086016.3 |
$x^{12} - 2 x^{11} + 2 x^{10} + 9 x^{8} - 24 x^{7} + 30 x^{6} - 4 x^{5} + 6 x^{4} - 46 x^{3} + 98 x^{2} - 70 x + 25$ |
$12$ |
[0,6] |
$2^{18}\cdot 23^{6}$ |
$2$ |
$13.5646599663$ |
$16.131190144457708$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
$[2]$ |
$4$ |
$5$ |
$103.136133603$ |
| 12.0.38806720086016.4 |
$x^{12} - 6 x^{9} - 14 x^{8} + 4 x^{7} + 18 x^{6} + 38 x^{5} + 61 x^{4} + 42 x^{3} + 32 x^{2} + 40 x + 25$ |
$12$ |
[0,6] |
$2^{18}\cdot 23^{6}$ |
$2$ |
$13.5646599663$ |
$35.32631762433002$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
trivial |
$4$ |
$5$ |
$190.551500148$ |
| 12.0.38806720086016.7 |
$x^{12} - 2 x^{11} + 2 x^{10} + 6 x^{9} - 7 x^{8} + 2 x^{7} + 28 x^{6} - 16 x^{5} + 2 x^{4} + 48 x^{3} + 2 x^{2} - 14 x + 49$ |
$12$ |
[0,6] |
$2^{18}\cdot 23^{6}$ |
$2$ |
$13.5646599663$ |
$35.32631762433002$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
trivial |
$4$ |
$5$ |
$116.122564211$ |
| 12.0.38982341165056.2 |
$x^{12} - 3 x^{10} - 10 x^{9} + 2 x^{8} + 28 x^{7} + 28 x^{6} - 16 x^{5} - 73 x^{4} - 20 x^{3} + 51 x^{2} + 18 x + 2$ |
$12$ |
[0,6] |
$2^{16}\cdot 29^{6}$ |
$2$ |
$13.5697649953$ |
$35.3462619700472$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
trivial |
$4$ |
$5$ |
$394.897699148$ |
| 12.0.40960000000000.1 |
$x^{12} + 2 x^{10} - 5 x^{8} + 30 x^{4} + 32 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{22}\cdot 5^{10}$ |
$2$ |
$13.6258413812$ |
$25.722163336702884$ |
|
|
|
$C_2 \times S_4$ (as 12T24) |
trivial |
$2$ |
$5$ |
$97.0653737932$ |
| 12.0.56192894500864.2 |
$x^{12} - 2 x^{11} + 8 x^{10} - 4 x^{9} + 5 x^{8} + 10 x^{7} - 14 x^{6} - 10 x^{5} + 5 x^{4} + 4 x^{3} + 8 x^{2} + 2 x + 1$ |
$12$ |
[0,6] |
$2^{18}\cdot 11^{8}$ |
$2$ |
$13.9896478859$ |
$18.09986519556776$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
$[2]$ |
$2$ |
$5$ |
$73.6545271447$ |
| 12.0.72074394832896.1 |
$x^{12} - 6 x^{11} + 13 x^{10} - 10 x^{9} - 5 x^{8} + 14 x^{7} - 3 x^{6} - 16 x^{5} + 26 x^{4} - 22 x^{3} + 14 x^{2} - 6 x + 2$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{6}\cdot 17^{6}$ |
$3$ |
$14.2828568571$ |
$21.09925220183081$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
trivial |
$2$ |
$5$ |
$257.27475471$ |
| 12.0.74649600000000.1 |
$x^{12} + 2 x^{10} + 11 x^{8} + 8 x^{6} + 11 x^{4} + 2 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{18}\cdot 3^{6}\cdot 5^{8}$ |
$3$ |
$14.3247029149$ |
$19.973389461199396$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
trivial |
$4$ |
$5$ |
$341.405281146$ |
| 12.0.80244904034304.6 |
$x^{12} + 32 x^{6} + 48 x^{4} + 24 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{24}\cdot 3^{14}$ |
$2$ |
$14.4112434621$ |
$18.157028993074817$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
$[2]$ |
$2$ |
$5$ |
$86.4874330783$ |
| 12.0.80244904034304.7 |
$x^{12} + 12 x^{8} + 36 x^{4} + 36$ |
$12$ |
[0,6] |
$2^{24}\cdot 3^{14}$ |
$2$ |
$14.4112434621$ |
$18.157028993074817$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
$[2]$ |
$4$ |
$5$ |
$265.403979403$ |
| 12.0.80980417183744.2 |
$x^{12} + 8 x^{10} + 24 x^{8} + 38 x^{6} + 24 x^{4} + 8 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{24}\cdot 13^{6}$ |
$2$ |
$14.4222051019$ |
$27.385300168092183$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
$[2]$ |
$4$ |
$5$ |
$196.576135503$ |
| 12.0.80980417183744.6 |
$x^{12} - 2 x^{10} + 6 x^{8} + 2 x^{6} + x^{4} + 4 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{24}\cdot 13^{6}$ |
$2$ |
$14.4222051019$ |
$27.385300168092183$ |
|
|
|
$C_2 \times S_4$ (as 12T24) |
$[2]$ |
$2$ |
$5$ |
$217.645699385$ |
| 12.0.104857600000000.1 |
$x^{12} - 10 x^{10} + 33 x^{8} - 40 x^{6} + 33 x^{4} - 10 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{28}\cdot 5^{8}$ |
$2$ |
$14.7361259946$ |
$23.39214190570293$ |
|
|
|
$C_2 \times S_4$ (as 12T24) |
trivial |
$4$ |
$5$ |
$969.060308001$ |
| 12.0.104857600000000.4 |
$x^{12} + 6 x^{10} + 9 x^{8} - 4 x^{6} - 4 x^{4} + 16 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{28}\cdot 5^{8}$ |
$2$ |
$14.7361259946$ |
$19.670368273611786$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
trivial |
$2$ |
$5$ |
$263.198063006$ |
| 12.0.104857600000000.6 |
$x^{12} + 8 x^{8} - 12 x^{4} + 16$ |
$12$ |
[0,6] |
$2^{28}\cdot 5^{8}$ |
$2$ |
$14.7361259946$ |
$23.39214190570293$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
trivial |
$4$ |
$5$ |
$435.451103651$ |
| 12.0.140478247931904.1 |
$x^{12} - 2 x^{11} + 2 x^{10} - 16 x^{9} + 18 x^{8} - 2 x^{7} + 24 x^{6} + 16 x^{5} + 44 x^{4} + 36 x^{3} + 32 x^{2} + 12 x + 4$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{6}\cdot 19^{6}$ |
$3$ |
$15.0996688705$ |
$16.948805249221287$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
$[2]$ |
$6$ |
$5$ |
$407.127340195$ |
| 12.0.140478247931904.2 |
$x^{12} - 3 x^{10} - x^{8} + 23 x^{6} + 28 x^{4} + 32 x^{2} + 16$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{6}\cdot 19^{6}$ |
$3$ |
$15.0996688705$ |
$16.948805249221287$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
$[2]$ |
$2$ |
$5$ |
$304.742724982$ |
| 12.0.144054149089536.1 |
$x^{12} - 3 x^{11} + 9 x^{10} - 2 x^{9} + 3 x^{8} - 3 x^{7} - 6 x^{6} - 3 x^{5} + 3 x^{4} - 2 x^{3} + 9 x^{2} - 3 x + 1$ |
$12$ |
[0,6] |
$2^{8}\cdot 3^{14}\cdot 7^{6}$ |
$3$ |
$15.1313315573$ |
$24.612269258377225$ |
|
|
|
$C_2 \times S_4$ (as 12T24) |
trivial |
$6$ |
$5$ |
$594.096723246$ |
| 12.0.168147445940224.1 |
$x^{12} - 3 x^{10} - 2 x^{8} + 21 x^{6} + 6 x^{4} + 5 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{16}\cdot 37^{6}$ |
$2$ |
$15.3276011069$ |
$37.802856752384265$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
trivial |
$4$ |
$5$ |
$305.648094308$ |
| 12.0.188238400000000.4 |
$x^{12} - 2 x^{11} + 8 x^{10} - 2 x^{9} + 16 x^{8} - 6 x^{7} + 60 x^{6} - 60 x^{5} + 104 x^{4} - 60 x^{3} + 44 x^{2} - 12 x + 4$ |
$12$ |
[0,6] |
$2^{12}\cdot 5^{8}\cdot 7^{6}$ |
$3$ |
$15.4724475289$ |
$19.85995155932405$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
$[2]$ |
$2$ |
$5$ |
$103.489700672$ |
| 12.0.197324726861824.2 |
$x^{12} - 3 x^{11} + 8 x^{10} - 15 x^{9} + 10 x^{8} - 13 x^{7} + 6 x^{6} + 13 x^{5} + 10 x^{4} + 15 x^{3} + 8 x^{2} + 3 x + 1$ |
$12$ |
[0,6] |
$2^{22}\cdot 19^{6}$ |
$2$ |
$15.5333499252$ |
$29.323059968612448$ |
|
|
|
$C_2 \times S_4$ (as 12T24) |
trivial |
$2$ |
$5$ |
$269.732531806$ |
| 12.0.197324726861824.4 |
$x^{12} + 2 x^{10} + 8 x^{8} + 4 x^{6} + 12 x^{4} - 8 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{22}\cdot 19^{6}$ |
$2$ |
$15.5333499252$ |
$32.430491158734085$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
trivial |
$2$ |
$5$ |
$143.254689641$ |
| 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 |
$2$ |
$5$ |
$518.48125741$ |
| 12.0.197324726861824.16 |
$x^{12} - 2 x^{11} + 7 x^{10} - 2 x^{9} + 13 x^{8} - 28 x^{7} + 64 x^{6} - 68 x^{5} + 82 x^{4} - 48 x^{3} + 24 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{22}\cdot 19^{6}$ |
$2$ |
$15.5333499252$ |
$36.40199553371168$ |
|
|
|
$C_2 \times S_4$ (as 12T24) |
trivial |
$2$ |
$5$ |
$176.581095258$ |
| 12.0.232653764952064.1 |
$x^{12} - 4 x^{11} + 8 x^{10} - 8 x^{9} + 14 x^{8} - 50 x^{7} + 120 x^{6} - 96 x^{5} + 13 x^{4} + 58 x^{3} + 2 x^{2} + 6 x + 9$ |
$12$ |
[0,6] |
$2^{18}\cdot 31^{6}$ |
$2$ |
$15.748015748$ |
$44.189975704393966$ |
|
|
|
$C_2 \times S_4$ (as 12T24) |
trivial |
$4$ |
$5$ |
$389.579973422$ |
| 12.0.232653764952064.7 |
$x^{12} - 2 x^{11} + 2 x^{10} + 2 x^{9} - 21 x^{8} + 48 x^{7} - 52 x^{6} - 8 x^{5} + 139 x^{4} - 286 x^{3} + 338 x^{2} - 234 x + 81$ |
$12$ |
[0,6] |
$2^{18}\cdot 31^{6}$ |
$2$ |
$15.748015748$ |
$18.727652374724588$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
$[2]$ |
$4$ |
$5$ |
$194.539206433$ |
| 12.0.232653764952064.9 |
$x^{12} - 2 x^{11} + 2 x^{10} - 10 x^{9} + 9 x^{8} - 2 x^{7} + 36 x^{6} - 16 x^{5} - 2 x^{4} - 80 x^{3} + 2 x^{2} + 18 x + 81$ |
$12$ |
[0,6] |
$2^{18}\cdot 31^{6}$ |
$2$ |
$15.748015748$ |
$44.189975704393966$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
trivial |
$4$ |
$5$ |
$380.29059301$ |
| 12.0.232653764952064.10 |
$x^{12} - 4 x^{11} + 14 x^{10} - 28 x^{9} + 87 x^{8} - 126 x^{7} + 284 x^{6} - 254 x^{5} + 476 x^{4} - 248 x^{3} + 384 x^{2} - 98 x + 129$ |
$12$ |
[0,6] |
$2^{18}\cdot 31^{6}$ |
$2$ |
$15.748015748$ |
$18.727652374724588$ |
|
|
|
$C_2 \times S_4$ (as 12T24) |
$[2]$ |
$2$ |
$5$ |
$248.377779297$ |
| 12.0.262440000000000.1 |
$x^{12} + 2 x^{10} - 5 x^{8} + 75 x^{4} - 18 x^{2} + 9$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{8}\cdot 5^{10}$ |
$3$ |
$15.9069104351$ |
$19.56670089564809$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
$[2]$ |
$2$ |
$5$ |
$285.777643289$ |
| 12.0.306110016000000.2 |
$x^{12} + 9 x^{10} - 8 x^{9} + 30 x^{8} - 6 x^{7} + 41 x^{6} + 6 x^{5} + 30 x^{4} + 8 x^{3} + 9 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{14}\cdot 5^{6}$ |
$3$ |
$16.1122600108$ |
$18.08540037460562$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
$[2]$ |
$2$ |
$5$ |
$165.778397766$ |
| 12.0.306110016000000.3 |
$x^{12} + 9 x^{10} + 39 x^{8} + 59 x^{6} + 48 x^{4} + 4$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{14}\cdot 5^{6}$ |
$3$ |
$16.1122600108$ |
$18.08540037460562$ |
|
|
? |
$C_2 \times S_4$ (as 12T24) |
$[2]$ |
$2$ |
$5$ |
$365.902418069$ |
| 12.0.320979616137216.9 |
$x^{12} - 3 x^{8} - 4 x^{6} + 9 x^{4} + 6 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{26}\cdot 3^{14}$ |
$2$ |
$16.1760738552$ |
$24.23672593327708$ |
|
|
|
$C_2 \times S_4$ (as 12T24) |
trivial |
$6$ |
$5$ |
$889.528343238$ |
| 12.0.320979616137216.11 |
$x^{12} + 3 x^{10} + 3 x^{8} + 14 x^{6} + 30 x^{4} + 12 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{26}\cdot 3^{14}$ |
$2$ |
$16.1760738552$ |
$28.822486924224066$ |
|
|
|
$C_2 \times S_4$ (as 12T24) |
trivial |
$6$ |
$5$ |
$746.133664789$ |
