| 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 |
| 12.0.73358639104.1 |
$x^{12} - 2 x^{11} + 2 x^{10} - 2 x^{9} + 6 x^{8} - 10 x^{7} + 10 x^{6} - 12 x^{5} + 17 x^{4} - 14 x^{3} + 8 x^{2} - 4 x + 1$ |
$12$ |
[0,6] |
$2^{18}\cdot 23^{4}$ |
$2$ |
$8.04367050498$ |
$16.131190144457708$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$4$ |
$5$ |
$3.42242551816$ |
| 12.0.194389282816.1 |
$x^{12} + x^{10} + 4 x^{8} + 4 x^{6} + 4 x^{4} + x^{2} + 1$ |
$12$ |
[0,6] |
$2^{12}\cdot 83^{4}$ |
$2$ |
$8.72414134291$ |
$18.2208671582886$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$4$ |
$5$ |
$6.84932920201$ |
| 12.0.242095489024.1 |
$x^{12} - 4 x^{11} + 8 x^{10} - 12 x^{9} + 17 x^{8} - 30 x^{7} + 56 x^{6} - 74 x^{5} + 66 x^{4} - 40 x^{3} + 18 x^{2} - 6 x + 1$ |
$12$ |
[0,6] |
$2^{18}\cdot 31^{4}$ |
$2$ |
$8.88516624638$ |
$18.727652374724588$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$4$ |
$5$ |
$7.36692425437$ |
| 12.0.245635219456.1 |
$x^{12} - 4 x^{4} + 4$ |
$12$ |
[0,6] |
$2^{24}\cdot 11^{4}$ |
$2$ |
$8.89592036228$ |
$16.714741551887755$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$4$ |
$5$ |
$11.1218991809$ |
| 12.0.389136420864.3 |
$x^{12} - x^{10} - 4 x^{9} + 2 x^{7} + 5 x^{6} + 2 x^{5} - 4 x^{3} - x^{2} + 1$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{6}\cdot 19^{4}$ |
$3$ |
$9.24361446117$ |
$16.948805249221287$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$6$ |
$5$ |
$16.1164112554$ |
| 12.0.491300061184.1 |
$x^{12} - 2 x^{11} + 2 x^{10} - x^{8} + 2 x^{7} - 2 x^{6} + 2 x^{5} - x^{4} + 2 x^{2} - 2 x + 1$ |
$12$ |
[0,6] |
$2^{18}\cdot 37^{4}$ |
$2$ |
$9.42494667087$ |
$18.227692292212264$ |
|
|
✓ |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$4$ |
$5$ |
$16.7308736236$ |
| 12.0.517110562816.1 |
$x^{12} - x^{10} - x^{8} + 6 x^{6} - x^{4} - x^{2} + 1$ |
$12$ |
[0,6] |
$2^{16}\cdot 53^{4}$ |
$2$ |
$9.46524698233$ |
$20.591260281974$ |
|
|
|
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$4$ |
$5$ |
$14.0712726527$ |
| 12.0.741637881856.2 |
$x^{12} - 2 x^{10} + 4 x^{8} - 2 x^{6} + 4 x^{4} - 2 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{20}\cdot 29^{4}$ |
$2$ |
$9.75399792215$ |
$21.540659228538015$ |
|
|
|
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$4$ |
$5$ |
$17.3128454489$ |
| 12.0.794123370496.1 |
$x^{12} - x^{10} + 7 x^{8} + 2 x^{6} + 7 x^{4} - x^{2} + 1$ |
$12$ |
[0,6] |
$2^{16}\cdot 59^{4}$ |
$2$ |
$9.80973626305$ |
$21.72556098240043$ |
|
|
|
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$4$ |
$5$ |
$18.5790462253$ |
| 12.0.860013262161.1 |
$x^{12} - x^{11} + 2 x^{10} + 3 x^{9} + x^{8} - 2 x^{7} + x^{6} - 2 x^{5} + x^{4} + 3 x^{3} + 2 x^{2} - x + 1$ |
$12$ |
[0,6] |
$3^{8}\cdot 107^{4}$ |
$2$ |
$9.87511349546$ |
$23.579404344249447$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$6$ |
$5$ |
$35.7482860248$ |
| 12.0.896218169344.1 |
$x^{12} - 2 x^{9} - x^{8} - 2 x^{7} + 2 x^{6} + 2 x^{5} - x^{4} + 2 x^{3} + 1$ |
$12$ |
[0,6] |
$2^{18}\cdot 43^{4}$ |
$2$ |
$9.90910610278$ |
$19.65011309429094$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$4$ |
$5$ |
$25.4780124316$ |
| 12.0.907401035776.1 |
$x^{12} + 4 x^{8} - 6 x^{6} + 4 x^{4} + 1$ |
$12$ |
[0,6] |
$2^{16}\cdot 61^{4}$ |
$2$ |
$9.91935132768$ |
$22.090722034374522$ |
|
|
|
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$4$ |
$5$ |
$20.9267130636$ |
| 12.0.1636073786281.1 |
$x^{12} - 7 x^{10} - 5 x^{9} + 20 x^{8} + 21 x^{7} - 16 x^{6} - 22 x^{5} + 10 x^{4} + 11 x^{3} + 7 x^{2} + 2 x + 1$ |
$12$ |
[0,6] |
$11^{6}\cdot 31^{4}$ |
$2$ |
$10.4187809477$ |
$18.466185312619388$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$5$ |
$10.2890687023$ |
| 12.0.1916696264704.3 |
$x^{12} + 2 x^{8} + x^{4} + 4$ |
$12$ |
[0,6] |
$2^{26}\cdot 13^{4}$ |
$2$ |
$10.5571357994$ |
$24.255161140409015$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$4$ |
$5$ |
$46.0291996448$ |
| 12.0.2186423566336.2 |
$x^{12} + 4 x^{8} + 4 x^{4} + 4$ |
$12$ |
[0,6] |
$2^{24}\cdot 19^{4}$ |
$2$ |
$10.6736065949$ |
$21.967474133325677$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$4$ |
$5$ |
$45.5948666554$ |
| 12.0.2244531326976.1 |
$x^{12} - x^{10} + 2 x^{8} - 6 x^{7} + 11 x^{6} - 6 x^{5} + 2 x^{4} - x^{2} + 1$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{8}\cdot 17^{4}$ |
$3$ |
$10.6969624825$ |
$21.09925220183081$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$6$ |
$5$ |
$73.3842233192$ |
| 12.0.3176493481984.1 |
$x^{12} - 6 x^{11} + 15 x^{10} - 20 x^{9} + 25 x^{8} - 46 x^{7} + 59 x^{6} - 34 x^{5} + 20 x^{4} - 30 x^{3} + 24 x^{2} - 8 x + 1$ |
$12$ |
[0,6] |
$2^{18}\cdot 59^{4}$ |
$2$ |
$11.0110566592$ |
$21.72556098240043$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$5$ |
$17.0537538946$ |
| 12.4.3841600000000.1 |
$x^{12} - 2 x^{11} + x^{10} - 6 x^{9} + 16 x^{8} - 18 x^{7} + 13 x^{6} - 6 x^{5} - 6 x^{4} + 12 x^{3} + x^{2} - 4 x - 1$ |
$12$ |
[4,4] |
$2^{12}\cdot 5^{8}\cdot 7^{4}$ |
$3$ |
$11.1868894208$ |
$19.85995155932405$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$7$ |
$34.1934330703$ |
| 12.4.3930163511296.1 |
$x^{12} - 2 x^{10} - 5 x^{8} - 8 x^{6} + 23 x^{4} - 14 x^{2} + 1$ |
$12$ |
[4,4] |
$2^{28}\cdot 11^{4}$ |
$2$ |
$11.2081573226$ |
$19.877289578936544$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$7$ |
$49.4476490521$ |
| 12.0.3930163511296.5 |
$x^{12} + 2 x^{10} - 5 x^{8} + 8 x^{6} + 23 x^{4} + 14 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{28}\cdot 11^{4}$ |
$2$ |
$11.2081573226$ |
$19.877289578936544$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$5$ |
$30.6372853116$ |
| 12.4.4694952902656.3 |
$x^{12} - x^{8} - 8 x^{6} - x^{4} + 1$ |
$12$ |
[4,4] |
$2^{24}\cdot 23^{4}$ |
$2$ |
$11.3754679194$ |
$22.812947879511295$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$7$ |
$34.803748623$ |
| 12.0.4694952902656.4 |
$x^{12} - x^{8} + 8 x^{6} - x^{4} + 1$ |
$12$ |
[0,6] |
$2^{24}\cdot 23^{4}$ |
$2$ |
$11.3754679194$ |
$22.812947879511295$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$5$ |
$18.4006150003$ |
| 12.0.7055355940864.1 |
$x^{12} + x^{10} + 11 x^{8} + 11 x^{6} + 20 x^{4} - 4 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{12}\cdot 7^{6}\cdot 11^{4}$ |
$3$ |
$11.7681964808$ |
$19.699129000227927$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$5$ |
$72.3805915739$ |
| 12.4.7496644000000.1 |
$x^{12} - x^{11} - x^{10} - 4 x^{9} - 3 x^{8} - 11 x^{7} + 10 x^{6} + 11 x^{5} - 3 x^{4} + 4 x^{3} - x^{2} + x + 1$ |
$12$ |
[4,4] |
$2^{8}\cdot 5^{6}\cdot 37^{4}$ |
$3$ |
$11.8278436209$ |
$21.590988593881082$ |
|
|
|
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$7$ |
$59.2757913437$ |
| 12.0.7666785058816.2 |
$x^{12} + 2 x^{8} + 2 x^{6} + 2 x^{4} + 1$ |
$12$ |
[0,6] |
$2^{28}\cdot 13^{4}$ |
$2$ |
$11.8499842736$ |
$24.255161140409015$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$5$ |
$47.7626482225$ |
| 12.0.7666785058816.4 |
$x^{12} - 2 x^{10} + 11 x^{8} - 24 x^{6} + 30 x^{4} - 16 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{28}\cdot 13^{4}$ |
$2$ |
$11.8499842736$ |
$24.255161140409015$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$5$ |
$80.6177243766$ |
| 12.0.8745694265344.6 |
$x^{12} + 10 x^{8} - 7 x^{4} + 4$ |
$12$ |
[0,6] |
$2^{26}\cdot 19^{4}$ |
$2$ |
$11.9807183213$ |
$29.323059968612448$ |
|
|
|
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$4$ |
$5$ |
$251.628578337$ |
| 12.0.8916100448256.3 |
$x^{12} - 12 x^{8} + 36 x^{4} + 4$ |
$12$ |
[0,6] |
$2^{24}\cdot 3^{12}$ |
$2$ |
$12.0$ |
$18.157028993074817$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$4$ |
$5$ |
$91.0714803234$ |
| 12.4.11866206109696.2 |
$x^{12} - 6 x^{11} + 11 x^{10} - 2 x^{9} - 7 x^{8} - 12 x^{7} + 14 x^{6} + 28 x^{5} - 38 x^{4} + 24 x^{3} - 34 x^{2} + 20 x + 2$ |
$12$ |
[4,4] |
$2^{24}\cdot 29^{4}$ |
$2$ |
$12.2892673027$ |
$25.616305216426433$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$7$ |
$110.439099748$ |
| 12.0.11866206109696.5 |
$x^{12} - 6 x^{11} + 19 x^{10} - 38 x^{9} + 53 x^{8} - 52 x^{7} + 38 x^{6} - 28 x^{5} + 34 x^{4} - 40 x^{3} + 30 x^{2} - 12 x + 2$ |
$12$ |
[0,6] |
$2^{24}\cdot 29^{4}$ |
$2$ |
$12.2892673027$ |
$25.616305216426433$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$5$ |
$60.7088000892$ |
| 12.0.13165366384921.1 |
$x^{12} - 3 x^{11} + 10 x^{10} - 11 x^{9} + 20 x^{8} - 3 x^{7} + 34 x^{6} - 2 x^{5} + 15 x^{4} + 53 x^{3} + 79 x^{2} + 5 x + 1$ |
$12$ |
[0,6] |
$19^{6}\cdot 23^{4}$ |
$2$ |
$12.396128774$ |
$20.904544960366874$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$5$ |
$36.6667487729$ |
| 12.0.13763268972544.1 |
$x^{12} - 6 x^{11} + 21 x^{10} - 50 x^{9} + 97 x^{8} - 154 x^{7} + 209 x^{6} - 232 x^{5} + 218 x^{4} - 162 x^{3} + 100 x^{2} - 42 x + 14$ |
$12$ |
[0,6] |
$2^{12}\cdot 7^{6}\cdot 13^{4}$ |
$3$ |
$12.4420936656$ |
$21.415210999701447$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$5$ |
$117.770463044$ |
| 12.0.14757890560000.1 |
$x^{12} + 2 x^{10} - x^{8} + 24 x^{6} - x^{4} + 2 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{12}\cdot 5^{4}\cdot 7^{8}$ |
$3$ |
$12.5146494914$ |
$21.602807404215152$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$5$ |
$113.916270131$ |
| 12.4.15494111297536.3 |
$x^{12} - 6 x^{10} + 17 x^{8} - 26 x^{6} + 14 x^{4} - 2 x^{2} + 1$ |
$12$ |
[4,4] |
$2^{24}\cdot 31^{4}$ |
$2$ |
$12.5655226096$ |
$26.484899979744217$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$7$ |
$72.9388688969$ |
| 12.0.15494111297536.6 |
$x^{12} + 6 x^{10} + 17 x^{8} + 26 x^{6} + 14 x^{4} + 2 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{24}\cdot 31^{4}$ |
$2$ |
$12.5655226096$ |
$26.484899979744217$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$5$ |
$41.5630074062$ |
| 12.4.23533413765625.2 |
$x^{12} - 2 x^{11} - 6 x^{10} + 3 x^{9} + 13 x^{8} - x^{7} - 15 x^{6} - x^{5} + 13 x^{4} + 3 x^{3} - 6 x^{2} - 2 x + 1$ |
$12$ |
[4,4] |
$5^{6}\cdot 197^{4}$ |
$2$ |
$13.0108921689$ |
$31.38470965295043$ |
|
|
✓ |
$C_2 \times S_4$ (as 12T23) |
trivial |
$[2]$ |
$2$ |
$7$ |
$103.63540049$ |
| 12.0.25389989167104.4 |
$x^{12} + 6 x^{10} + 12 x^{8} + 10 x^{6} + 12 x^{4} + 6 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{16}\cdot 3^{18}$ |
$2$ |
$13.0934836317$ |
$20.784609690826528$ |
|
|
|
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$6$ |
$5$ |
$401.073022573$ |
| 12.0.26214400000000.2 |
$x^{12} + 2 x^{8} + 33 x^{4} + 4$ |
$12$ |
[0,6] |
$2^{26}\cdot 5^{8}$ |
$2$ |
$13.1283957589$ |
$19.670368273611786$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$4$ |
$5$ |
$307.041827479$ |
| 12.4.29721861554176.1 |
$x^{12} - 4 x^{11} + 2 x^{10} + 16 x^{9} - 44 x^{8} + 48 x^{7} - 6 x^{6} - 24 x^{5} + 6 x^{4} + 12 x^{3} - 4 x^{2} - 12 x - 2$ |
$12$ |
[4,4] |
$2^{24}\cdot 11^{6}$ |
$2$ |
$13.2664991614$ |
$16.714741551887755$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
$[2]$ |
$2$ |
$7$ |
$165.582226502$ |
| 12.4.30667140235264.1 |
$x^{12} - 2 x^{10} - 3 x^{8} + 16 x^{6} + 13 x^{4} - 18 x^{2} + 1$ |
$12$ |
[4,4] |
$2^{30}\cdot 13^{4}$ |
$2$ |
$13.3011576202$ |
$28.844410203711913$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$7$ |
$191.692482283$ |
| 12.4.30667140235264.3 |
$x^{12} - 6 x^{10} + 17 x^{8} - 28 x^{6} + 36 x^{4} - 32 x^{2} + 4$ |
$12$ |
[4,4] |
$2^{30}\cdot 13^{4}$ |
$2$ |
$13.3011576202$ |
$24.255161140409015$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
$[2]$ |
$2$ |
$7$ |
$276.365367348$ |
| 12.0.30667140235264.7 |
$x^{12} - 2 x^{10} - x^{8} + 12 x^{6} + 2 x^{4} - 8 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{30}\cdot 13^{4}$ |
$2$ |
$13.3011576202$ |
$28.844410203711913$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$5$ |
$115.815700827$ |
| 12.4.34012224000000.1 |
$x^{12} - 3 x^{10} - 8 x^{9} + 12 x^{7} + 21 x^{6} - 36 x^{5} + 16 x^{3} - 3 x^{2} - 1$ |
$12$ |
[4,4] |
$2^{12}\cdot 3^{12}\cdot 5^{6}$ |
$3$ |
$13.416407865$ |
$18.08540037460562$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$7$ |
$128.218195934$ |
| 12.4.34982777061376.1 |
$x^{12} - 4 x^{10} + 6 x^{8} - 10 x^{6} + 6 x^{4} - 4 x^{2} + 1$ |
$12$ |
[4,4] |
$2^{28}\cdot 19^{4}$ |
$2$ |
$13.4479016272$ |
$29.323059968612448$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$7$ |
$209.311562719$ |
| 12.4.34982777061376.2 |
$x^{12} - 2 x^{10} - x^{8} - 28 x^{6} - x^{4} - 2 x^{2} + 1$ |
$12$ |
[4,4] |
$2^{28}\cdot 19^{4}$ |
$2$ |
$13.4479016272$ |
$26.123876537989126$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$7$ |
$192.243321532$ |
| 12.4.34982777061376.3 |
$x^{12} - 10 x^{10} + 39 x^{8} - 72 x^{6} + 58 x^{4} - 16 x^{2} + 4$ |
$12$ |
[4,4] |
$2^{28}\cdot 19^{4}$ |
$2$ |
$13.4479016272$ |
$29.323059968612448$ |
|
|
|
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$7$ |
$145.915965945$ |
| 12.0.34982777061376.4 |
$x^{12} + 2 x^{10} - x^{8} + 28 x^{6} - x^{4} + 2 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{28}\cdot 19^{4}$ |
$2$ |
$13.4479016272$ |
$26.123876537989126$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$5$ |
$103.540547392$ |
| 12.0.35664401793024.7 |
$x^{12} - 6 x^{8} + 9 x^{4} + 4$ |
$12$ |
[0,6] |
$2^{26}\cdot 3^{12}$ |
$2$ |
$13.4695445797$ |
$24.23672593327708$ |
|
|
|
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$4$ |
$5$ |
$610.034931703$ |
| 12.4.38806720086016.2 |
$x^{12} - 4 x^{11} + 2 x^{10} + 8 x^{9} - 21 x^{8} + 56 x^{7} - 44 x^{6} - 64 x^{5} + 19 x^{4} + 148 x^{3} - 126 x^{2} + 32 x + 1$ |
$12$ |
[4,4] |
$2^{18}\cdot 23^{6}$ |
$2$ |
$13.5646599663$ |
$16.131190144457708$ |
|
|
? |
$C_2 \times S_4$ (as 12T23) |
trivial |
$[2]$ |
$2$ |
$7$ |
$117.470759956$ |
| 12.4.38982341165056.1 |
$x^{12} + x^{10} - 8 x^{8} - 17 x^{6} - 8 x^{4} + x^{2} + 1$ |
$12$ |
[4,4] |
$2^{16}\cdot 29^{6}$ |
$2$ |
$13.5697649953$ |
$21.540659228538015$ |
|
|
|
$C_2 \times S_4$ (as 12T23) |
trivial |
trivial |
$2$ |
$7$ |
$180.997119652$ |
