| 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 |
| 12.2.4511594708992.1 |
$x^{12} - 2 x^{11} + 3 x^{10} - 2 x^{9} + 3 x^{8} - 4 x^{7} - 2 x^{6} - 4 x^{5} + 3 x^{4} - 2 x^{3} + 3 x^{2} - 2 x + 1$ |
$12$ |
[2,5] |
$-\,2^{28}\cdot 7^{5}$ |
$2$ |
$11.3377664492$ |
$34.04715710793443$ |
|
|
|
$C_6^2:C_4$ (as 12T82) |
trivial |
trivial |
$2$ |
$6$ |
$35.0362288854$ |
| 12.4.8012167578125.1 |
$x^{12} - 2 x^{11} - 3 x^{10} + 3 x^{9} + 10 x^{8} + x^{7} - 16 x^{6} - 7 x^{5} + 10 x^{4} + 3 x^{3} - x^{2} + 3 x - 1$ |
$12$ |
[4,4] |
$5^{8}\cdot 29^{5}$ |
$2$ |
$11.8935773681$ |
$55.32131584893095$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
trivial |
$2$ |
$7$ |
$46.3155221056$ |
| 12.2.11183262109375.1 |
$x^{12} - 3 x^{11} + 8 x^{10} - 15 x^{9} + 18 x^{8} - 15 x^{7} - x^{6} + 15 x^{5} - 23 x^{4} + 20 x^{3} - 12 x^{2} + 4 x - 1$ |
$12$ |
[2,5] |
$-\,5^{8}\cdot 31^{5}$ |
$2$ |
$12.2287117653$ |
$58.4829020029174$ |
|
|
|
$C_6^2:C_4$ (as 12T82) |
trivial |
trivial |
$2$ |
$6$ |
$56.7780106185$ |
| 12.0.40060837890625.1 |
$x^{12} - 4 x^{11} + 8 x^{10} - 12 x^{9} + 7 x^{8} + x^{7} - x^{6} + 7 x^{5} + 8 x^{4} - x^{3} + 4 x^{2} + x + 1$ |
$12$ |
[0,6] |
$5^{9}\cdot 29^{5}$ |
$2$ |
$13.6006605782$ |
$55.32131584893095$ |
|
|
|
$C_6^2:C_4$ (as 12T82) |
$[2]$ |
$[2]$ |
$2$ |
$5$ |
$54.025980927$ |
| 12.2.72185515343872.1 |
$x^{12} - 4 x^{11} + 4 x^{10} + 4 x^{9} - 17 x^{8} + 16 x^{7} - 12 x^{6} + 16 x^{5} - 12 x^{4} + 8 x^{3} - 4 x^{2} - 2$ |
$12$ |
[2,5] |
$-\,2^{32}\cdot 7^{5}$ |
$2$ |
$14.2846906081$ |
$40.48912147837109$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
$[2]$ |
$2$ |
$6$ |
$339.925030123$ |
| 12.2.144371030687744.1 |
$x^{12} - 4 x^{9} - 6 x^{8} + 22 x^{6} - 20 x^{4} + 20 x^{3} + 4 x^{2} + 1$ |
$12$ |
[2,5] |
$-\,2^{33}\cdot 7^{5}$ |
$2$ |
$15.1341025136$ |
$34.04715710793443$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
$[2]$ |
$2$ |
$6$ |
$393.40560959$ |
| 12.2.164995463643136.1 |
$x^{12} + 2 x^{8} - 4 x^{6} + 9 x^{4} - 20 x^{2} - 4$ |
$12$ |
[2,5] |
$-\,2^{36}\cdot 7^{4}$ |
$2$ |
$15.3034494622$ |
$37.964259098544694$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
trivial |
$2$ |
$6$ |
$600.705809198$ |
| 12.2.164995463643136.4 |
$x^{12} + 2 x^{8} + 4 x^{6} + 9 x^{4} + 20 x^{2} - 4$ |
$12$ |
[2,5] |
$-\,2^{36}\cdot 7^{4}$ |
$2$ |
$15.3034494622$ |
$37.964259098544694$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
trivial |
$2$ |
$6$ |
$487.193967943$ |
| 12.2.221068140740608.1 |
$x^{12} - 4 x^{11} + 4 x^{10} + 8 x^{9} - 23 x^{8} + 16 x^{7} + 12 x^{6} - 20 x^{5} - 15 x^{4} + 32 x^{3} + 2 x^{2} - 8 x - 4$ |
$12$ |
[2,5] |
$-\,2^{28}\cdot 7^{7}$ |
$2$ |
$15.6811236691$ |
$34.04715710793443$ |
|
|
|
$C_6^2:C_4$ (as 12T82) |
trivial |
trivial |
$2$ |
$6$ |
$236.936767053$ |
| 12.0.329920430078125.1 |
$x^{12} + 6 x^{10} - 4 x^{9} + 18 x^{8} + 4 x^{7} + 31 x^{6} + 30 x^{5} + 7 x^{4} + 22 x^{3} + 19 x^{2} + 10 x + 5$ |
$12$ |
[0,6] |
$5^{8}\cdot 61^{5}$ |
$2$ |
$16.2131512484$ |
$102.80218981227368$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
trivial |
$2$ |
$5$ |
$368.856172185$ |
| 12.2.329990927286272.3 |
$x^{12} - 4 x^{10} + 20 x^{8} - 4 x^{6} + 5 x^{4} - 2$ |
$12$ |
[2,5] |
$-\,2^{37}\cdot 7^{4}$ |
$2$ |
$16.2134399216$ |
$37.964259098544694$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
trivial |
$2$ |
$6$ |
$962.205672057$ |
| 12.2.329990927286272.4 |
$x^{12} + 4 x^{10} + 20 x^{8} + 4 x^{6} + 5 x^{4} - 2$ |
$12$ |
[2,5] |
$-\,2^{37}\cdot 7^{4}$ |
$2$ |
$16.2134399216$ |
$37.964259098544694$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
trivial |
$2$ |
$6$ |
$780.383329358$ |
| 12.2.577484122750976.1 |
$x^{12} - 4 x^{10} - 16 x^{9} + 8 x^{8} + 24 x^{7} + 36 x^{6} - 56 x^{5} - 6 x^{4} + 16 x^{3} - 8 x^{2} + 4$ |
$12$ |
[2,5] |
$-\,2^{35}\cdot 7^{5}$ |
$2$ |
$16.9874557068$ |
$40.48912147837109$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
$[2]$ |
$[2]$ |
$2$ |
$6$ |
$612.295161681$ |
| 12.4.1154968245501952.1 |
$x^{12} - 2 x^{8} - 12 x^{6} - 7 x^{4} + 28 x^{2} + 28$ |
$12$ |
[4,4] |
$2^{36}\cdot 7^{5}$ |
$2$ |
$17.9975823884$ |
$52.5078942662214$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
$[2]$ |
$2$ |
$7$ |
$2412.21496054$ |
| 12.0.1154968245501952.2 |
$x^{12} - 2 x^{8} + 12 x^{6} - 7 x^{4} - 28 x^{2} + 28$ |
$12$ |
[0,6] |
$2^{36}\cdot 7^{5}$ |
$2$ |
$17.9975823884$ |
$52.5078942662214$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
$[2]$ |
$[2]$ |
$2$ |
$5$ |
$596.598681995$ |
| 12.4.2309936491003904.1 |
$x^{12} - 4 x^{10} - 36 x^{6} + 77 x^{4} - 56 x^{2} + 14$ |
$12$ |
[4,4] |
$2^{37}\cdot 7^{5}$ |
$2$ |
$19.0677743282$ |
$52.5078942662214$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
$[2]$ |
$2$ |
$7$ |
$3050.6748939$ |
| 12.0.2309936491003904.2 |
$x^{12} + 4 x^{10} + 36 x^{6} + 77 x^{4} + 56 x^{2} + 14$ |
$12$ |
[0,6] |
$2^{37}\cdot 7^{5}$ |
$2$ |
$19.0677743282$ |
$52.5078942662214$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
$[2]$ |
$[2]$ |
$2$ |
$5$ |
$744.032568829$ |
| 12.2.3537090251849728.3 |
$x^{12} - 4 x^{11} + 6 x^{10} - 12 x^{9} + 26 x^{8} - 16 x^{7} - 36 x^{6} + 72 x^{5} - 31 x^{4} + 4 x^{3} + 2 x^{2} + 4 x - 2$ |
$12$ |
[2,5] |
$-\,2^{32}\cdot 7^{7}$ |
$2$ |
$19.7569777967$ |
$40.48912147837109$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
$[2]$ |
$2$ |
$6$ |
$2890.00086401$ |
| 12.2.7074180503699456.1 |
$x^{12} - 4 x^{9} - 2 x^{8} - 8 x^{7} - 22 x^{6} + 40 x^{5} + 10 x^{4} + 20 x^{3} - 76 x^{2} + 48 x - 9$ |
$12$ |
[2,5] |
$-\,2^{33}\cdot 7^{7}$ |
$2$ |
$20.9317888316$ |
$34.04715710793443$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
$[2]$ |
$2$ |
$6$ |
$2660.4533719$ |
| 12.2.10832338896289792.1 |
$x^{12} - 4 x^{11} + 10 x^{10} - 12 x^{9} + 12 x^{8} - 28 x^{7} + 8 x^{6} + 56 x^{5} + 26 x^{4} + 72 x^{3} - 58 x^{2} + 8 x + 1$ |
$12$ |
[2,5] |
$-\,2^{28}\cdot 7^{9}$ |
$2$ |
$21.6883669836$ |
$34.04715710793443$ |
|
|
|
$C_6^2:C_4$ (as 12T82) |
$[3]$ |
$[3]$ |
$2$ |
$6$ |
$758.801535406$ |
| 12.2.10832338896289792.2 |
$x^{12} - 4 x^{11} + 12 x^{10} - 32 x^{9} + 80 x^{8} - 108 x^{7} + 182 x^{6} - 236 x^{5} + 118 x^{4} - 312 x^{3} - 8 x^{2} - 92 x + 127$ |
$12$ |
[2,5] |
$-\,2^{28}\cdot 7^{9}$ |
$2$ |
$21.6883669836$ |
$34.04715710793443$ |
|
|
|
$C_6^2:C_4$ (as 12T82) |
$[3]$ |
$[3]$ |
$2$ |
$6$ |
$987.703926982$ |
| 12.2.28296722014797824.1 |
$x^{12} + 4 x^{10} - 48 x^{8} - 112 x^{7} - 116 x^{6} + 24 x^{5} + 346 x^{4} + 400 x^{3} - 224 x^{2} - 720 x - 324$ |
$12$ |
[2,5] |
$-\,2^{35}\cdot 7^{7}$ |
$2$ |
$23.4951385667$ |
$40.48912147837109$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
$[2]$ |
$[2]$ |
$2$ |
$6$ |
$5205.65827601$ |
| 12.6.33433243941796875.2 |
$x^{12} - 21 x^{10} - 21 x^{9} + 162 x^{8} + 327 x^{7} - 428 x^{6} - 1881 x^{5} - 1122 x^{4} + 3135 x^{3} + 6237 x^{2} + 4389 x + 1111$ |
$12$ |
[6,3] |
$-\,3^{12}\cdot 5^{8}\cdot 11^{5}$ |
$3$ |
$23.8240107529$ |
$113.42875106860389$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
$[2]$ |
$2$ |
$8$ |
$6663.25356918$ |
| 12.2.36520347436056576.5 |
$x^{12} - 12 x^{10} + 54 x^{8} - 116 x^{6} + 129 x^{4} - 72 x^{2} - 16$ |
$12$ |
[2,5] |
$-\,2^{36}\cdot 3^{12}$ |
$2$ |
$24.0$ |
$47.713870191292706$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
trivial |
$2$ |
$6$ |
$8820.42355615$ |
| 12.2.36520347436056576.6 |
$x^{12} - 12 x^{10} + 18 x^{8} + 116 x^{6} + 129 x^{4} - 72 x^{2} - 16$ |
$12$ |
[2,5] |
$-\,2^{36}\cdot 3^{12}$ |
$2$ |
$24.0$ |
$47.713870191292706$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
trivial |
$2$ |
$6$ |
$9675.09663767$ |
| 12.2.36520347436056576.7 |
$x^{12} + 12 x^{10} + 18 x^{8} - 116 x^{6} + 129 x^{4} + 72 x^{2} - 16$ |
$12$ |
[2,5] |
$-\,2^{36}\cdot 3^{12}$ |
$2$ |
$24.0$ |
$47.713870191292706$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
trivial |
$2$ |
$6$ |
$11462.0946845$ |
| 12.2.36520347436056576.8 |
$x^{12} + 12 x^{10} + 54 x^{8} + 116 x^{6} + 129 x^{4} + 72 x^{2} - 16$ |
$12$ |
[2,5] |
$-\,2^{36}\cdot 3^{12}$ |
$2$ |
$24.0$ |
$47.713870191292706$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
trivial |
$2$ |
$6$ |
$11181.7723923$ |
| 12.0.56593444029595648.1 |
$x^{12} - 4 x^{11} + 20 x^{10} - 32 x^{9} + 66 x^{8} - 8 x^{7} + 64 x^{6} - 16 x^{5} + 34 x^{4} - 40 x^{3} + 96 x^{2} + 32 x + 4$ |
$12$ |
[0,6] |
$2^{36}\cdot 7^{7}$ |
$2$ |
$24.8922322083$ |
$52.5078942662214$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
$[6]$ |
$[6]$ |
$2$ |
$5$ |
$1522.06607332$ |
| 12.4.56593444029595648.1 |
$x^{12} - 4 x^{11} + 4 x^{10} - 16 x^{9} + 84 x^{8} - 152 x^{7} + 192 x^{6} - 384 x^{5} + 283 x^{4} + 764 x^{3} - 1548 x^{2} + 936 x - 158$ |
$12$ |
[4,4] |
$2^{36}\cdot 7^{7}$ |
$2$ |
$24.8922322083$ |
$52.5078942662214$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
$[2]$ |
$2$ |
$7$ |
$15543.9677994$ |
| 12.2.73040694872113152.1 |
$x^{12} + 12 x^{10} + 18 x^{8} - 44 x^{6} - 111 x^{4} - 128$ |
$12$ |
[2,5] |
$-\,2^{37}\cdot 3^{12}$ |
$2$ |
$25.4271142646$ |
$47.713870191292706$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
trivial |
$2$ |
$6$ |
$15367.1418105$ |
| 12.2.73040694872113152.2 |
$x^{12} - 12 x^{10} + 18 x^{8} + 44 x^{6} - 111 x^{4} - 128$ |
$12$ |
[2,5] |
$-\,2^{37}\cdot 3^{12}$ |
$2$ |
$25.4271142646$ |
$47.713870191292706$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
trivial |
$2$ |
$6$ |
$17108.4798555$ |
| 12.2.73040694872113152.9 |
$x^{12} - 12 x^{10} + 54 x^{8} - 108 x^{6} + 81 x^{4} - 32$ |
$12$ |
[2,5] |
$-\,2^{37}\cdot 3^{12}$ |
$2$ |
$25.4271142646$ |
$47.713870191292706$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
trivial |
$2$ |
$6$ |
$15576.9210568$ |
| 12.2.73040694872113152.10 |
$x^{12} + 12 x^{10} + 54 x^{8} + 108 x^{6} + 81 x^{4} - 32$ |
$12$ |
[2,5] |
$-\,2^{37}\cdot 3^{12}$ |
$2$ |
$25.4271142646$ |
$47.713870191292706$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
trivial |
$2$ |
$6$ |
$18706.1351672$ |
| 12.6.105343598274047523.1 |
$x^{12} - 21 x^{10} - 9 x^{9} + 144 x^{8} + 45 x^{7} - 522 x^{6} - 27 x^{5} + 972 x^{4} - 297 x^{3} - 567 x^{2} + 405 x - 81$ |
$12$ |
[6,3] |
$-\,3^{17}\cdot 13^{8}$ |
$2$ |
$26.2150493165$ |
$65.49479091539757$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
trivial |
$2$ |
$8$ |
$16736.7529881$ |
| 12.0.113186888059191296.7 |
$x^{12} - 4 x^{10} + 52 x^{8} + 148 x^{6} + 469 x^{4} + 1176 x^{2} + 686$ |
$12$ |
[0,6] |
$2^{37}\cdot 7^{7}$ |
$2$ |
$26.3724013609$ |
$52.5078942662214$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
$[2]$ |
$[2]$ |
$2$ |
$5$ |
$4794.43933513$ |
| 12.4.113186888059191296.8 |
$x^{12} + 4 x^{10} + 52 x^{8} - 148 x^{6} + 469 x^{4} - 1176 x^{2} + 686$ |
$12$ |
[4,4] |
$2^{37}\cdot 7^{7}$ |
$2$ |
$26.3724013609$ |
$52.5078942662214$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
$[2]$ |
$2$ |
$7$ |
$23349.0061084$ |
| 12.2.173317422340636672.3 |
$x^{12} - 10 x^{10} + 45 x^{8} + 48 x^{6} + 56 x^{4} - 56 x^{2} - 28$ |
$12$ |
[2,5] |
$-\,2^{32}\cdot 7^{9}$ |
$2$ |
$27.3256301005$ |
$40.48912147837109$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
$[3]$ |
$[6]$ |
$2$ |
$6$ |
$7226.98242316$ |
| 12.2.173317422340636672.4 |
$x^{12} + 18 x^{10} + 115 x^{8} + 188 x^{6} - 133 x^{4} + 42 x^{2} - 7$ |
$12$ |
[2,5] |
$-\,2^{32}\cdot 7^{9}$ |
$2$ |
$27.3256301005$ |
$40.48912147837109$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
$[3]$ |
$[6]$ |
$2$ |
$6$ |
$9952.82641195$ |
| 12.2.328683126924509184.9 |
$x^{12} + 30 x^{8} - 12 x^{6} + 153 x^{4} - 36 x^{2} - 36$ |
$12$ |
[2,5] |
$-\,2^{36}\cdot 3^{14}$ |
$2$ |
$28.8224869242$ |
$47.713870191292706$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
$[2]$ |
$2$ |
$6$ |
$37077.8687039$ |
| 12.2.328...184.13 |
$x^{12} + 30 x^{8} + 12 x^{6} + 153 x^{4} + 36 x^{2} - 36$ |
$12$ |
[2,5] |
$-\,2^{36}\cdot 3^{14}$ |
$2$ |
$28.8224869242$ |
$47.713870191292706$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
$[3]$ |
$[6]$ |
$2$ |
$6$ |
$14842.120621$ |
| 12.2.328...184.15 |
$x^{12} - 6 x^{10} + 21 x^{8} - 60 x^{6} + 99 x^{4} - 270 x^{2} - 9$ |
$12$ |
[2,5] |
$-\,2^{36}\cdot 3^{14}$ |
$2$ |
$28.8224869242$ |
$47.713870191292706$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
$[2]$ |
$2$ |
$6$ |
$40723.4502563$ |
| 12.2.328...184.23 |
$x^{12} + 6 x^{10} + 21 x^{8} + 60 x^{6} + 99 x^{4} + 270 x^{2} - 9$ |
$12$ |
[2,5] |
$-\,2^{36}\cdot 3^{14}$ |
$2$ |
$28.8224869242$ |
$47.713870191292706$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
$[2]$ |
$2$ |
$6$ |
$36578.5295004$ |
| 12.2.346634844681273344.2 |
$x^{12} - 4 x^{10} + 10 x^{8} - 48 x^{6} + 448 x^{4} - 896 x^{2} - 224$ |
$12$ |
[2,5] |
$-\,2^{33}\cdot 7^{9}$ |
$2$ |
$28.9504966216$ |
$34.04715710793443$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
$[3]$ |
$[6]$ |
$2$ |
$6$ |
$8520.23148869$ |
| 12.2.346634844681273344.9 |
$x^{12} + 12 x^{10} + 62 x^{8} + 148 x^{6} + 161 x^{4} - 56 x^{2} - 56$ |
$12$ |
[2,5] |
$-\,2^{33}\cdot 7^{9}$ |
$2$ |
$28.9504966216$ |
$34.04715710793443$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
$[3]$ |
$[6]$ |
$2$ |
$6$ |
$11090.4705743$ |
| 12.2.396154108207169536.3 |
$x^{12} + 18 x^{10} + 109 x^{8} + 340 x^{6} + 83 x^{4} - 1398 x^{2} - 1681$ |
$12$ |
[2,5] |
$-\,2^{36}\cdot 7^{8}$ |
$2$ |
$29.2744456802$ |
$37.964259098544694$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
$[3]$ |
$[3]$ |
$2$ |
$6$ |
$10174.2177674$ |
| 12.2.396154108207169536.4 |
$x^{12} - 18 x^{10} + 109 x^{8} - 340 x^{6} + 83 x^{4} + 1398 x^{2} - 1681$ |
$12$ |
[2,5] |
$-\,2^{36}\cdot 7^{8}$ |
$2$ |
$29.2744456802$ |
$37.964259098544694$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
$[3]$ |
$[3]$ |
$2$ |
$6$ |
$13239.4110445$ |
| 12.2.396154108207169536.5 |
$x^{12} - 4 x^{11} + 4 x^{10} - 24 x^{9} + 46 x^{8} + 24 x^{7} + 184 x^{6} + 32 x^{5} - 218 x^{4} - 728 x^{3} - 1072 x^{2} - 880 x - 388$ |
$12$ |
[2,5] |
$-\,2^{36}\cdot 7^{8}$ |
$2$ |
$29.2744456802$ |
$52.5078942662214$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
$[2]$ |
$[2, 2]$ |
$2$ |
$6$ |
$14608.8560582$ |
| 12.2.396...536.10 |
$x^{12} - 4 x^{11} + 4 x^{10} + 32 x^{9} - 52 x^{8} + 24 x^{7} + 128 x^{6} - 248 x^{5} + 27 x^{4} + 252 x^{3} - 484 x^{2} + 352 x - 94$ |
$12$ |
[2,5] |
$-\,2^{36}\cdot 7^{8}$ |
$2$ |
$29.2744456802$ |
$52.5078942662214$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
$[2]$ |
$[2, 2]$ |
$2$ |
$6$ |
$13188.2300487$ |
| 12.2.657...368.23 |
$x^{12} + 12 x^{10} + 48 x^{8} + 36 x^{6} - 99 x^{4} - 144 x^{2} - 18$ |
$12$ |
[2,5] |
$-\,2^{37}\cdot 3^{14}$ |
$2$ |
$30.5363611839$ |
$47.713870191292706$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
$[2]$ |
$2$ |
$6$ |
$53401.0784513$ |
| 12.2.657...368.34 |
$x^{12} - 12 x^{10} + 48 x^{8} - 36 x^{6} - 99 x^{4} + 144 x^{2} - 18$ |
$12$ |
[2,5] |
$-\,2^{37}\cdot 3^{14}$ |
$2$ |
$30.5363611839$ |
$47.713870191292706$ |
|
|
? |
$C_6^2:C_4$ (as 12T82) |
trivial |
$[2]$ |
$2$ |
$6$ |
$63264.3001292$ |
