| 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 |
| 12.0.1181587578125.1 |
$x^{12} - 2 x^{11} + 2 x^{10} + 2 x^{9} - 3 x^{8} + x^{7} + 3 x^{6} + x^{5} - 3 x^{4} + 2 x^{3} + 2 x^{2} - 2 x + 1$ |
$12$ |
[0,6] |
$5^{7}\cdot 3889^{2}$ |
$2$ |
$10.1400203454$ |
$208.51940394717084$ |
|
|
✓ |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$5$ |
$9.71322600677$ |
| 12.0.2071265703125.1 |
$x^{12} - 2 x^{11} + 6 x^{10} - 7 x^{9} + 12 x^{8} - 7 x^{7} + 10 x^{6} - 7 x^{5} + 12 x^{4} - 7 x^{3} + 6 x^{2} - 2 x + 1$ |
$12$ |
[0,6] |
$5^{7}\cdot 19^{2}\cdot 271^{2}$ |
$3$ |
$10.6255882954$ |
$239.93242815578742$ |
|
|
|
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$5$ |
$17.5482156786$ |
| 12.4.2157423828125.1 |
$x^{12} - 3 x^{10} - 3 x^{9} + 3 x^{8} + 2 x^{7} - 5 x^{6} + 2 x^{5} + 3 x^{4} - 3 x^{3} - 3 x^{2} + 1$ |
$12$ |
[4,4] |
$5^{9}\cdot 1051^{2}$ |
$2$ |
$10.6617367699$ |
$132.55622019828223$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$7$ |
$23.2281234251$ |
| 12.4.3715220000000.1 |
$x^{12} - x^{11} - x^{10} - 3 x^{9} - x^{8} + 12 x^{7} + 9 x^{6} - 12 x^{5} - 13 x^{4} - x^{3} + 6 x^{2} + 4 x - 1$ |
$12$ |
[4,4] |
$2^{8}\cdot 5^{7}\cdot 431^{2}$ |
$3$ |
$11.1557484114$ |
$110.19269431629391$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$7$ |
$32.3141735103$ |
| 12.4.5016263203125.1 |
$x^{12} - 6 x^{11} + 14 x^{10} - 15 x^{9} + x^{8} + 20 x^{7} - 22 x^{6} - x^{5} + 9 x^{4} + 4 x^{3} - 8 x^{2} + 3 x + 1$ |
$12$ |
[4,4] |
$3^{2}\cdot 5^{7}\cdot 2671^{2}$ |
$3$ |
$11.4383933259$ |
$299.31265178493385$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$7$ |
$39.3572972049$ |
| 12.4.6184110078125.1 |
$x^{12} - 6 x^{11} + 14 x^{10} - 15 x^{9} + 4 x^{8} + 8 x^{7} - 6 x^{6} - 7 x^{5} + 9 x^{4} - 7 x^{2} + 5 x - 1$ |
$12$ |
[4,4] |
$5^{7}\cdot 7^{2}\cdot 31^{2}\cdot 41^{2}$ |
$4$ |
$11.6396458777$ |
$315.39100174082034$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$7$ |
$42.4790650532$ |
| 12.4.6435451250000.1 |
$x^{12} - 2 x^{10} + x^{6} - x^{4} - 5 x^{2} + 5$ |
$12$ |
[4,4] |
$2^{4}\cdot 5^{7}\cdot 2269^{2}$ |
$3$ |
$11.6783526036$ |
$318.5479003524281$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$7$ |
$51.5621993086$ |
| 12.0.6728000000000.1 |
$x^{12} + 2 x^{10} - 2 x^{9} + 3 x^{8} - 2 x^{7} - 2 x^{5} + 3 x^{4} - 2 x^{3} + 2 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{12}\cdot 5^{9}\cdot 29^{2}$ |
$3$ |
$11.721697207017359$ |
$53.90488995872866$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$5$ |
$27.428544702659103$ |
| 12.4.7556814453125.1 |
$x^{12} - 2 x^{11} - 5 x^{10} + 9 x^{9} + 10 x^{8} - 14 x^{7} - 3 x^{6} + 2 x^{5} - 6 x^{4} + 6 x^{3} - 2 x^{2} + 4 x + 1$ |
$12$ |
[4,4] |
$5^{9}\cdot 7^{2}\cdot 281^{2}$ |
$3$ |
$11.8357258363$ |
$148.29608409769435$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
$[2]$ |
$2$ |
$7$ |
$46.1267786085$ |
| 12.4.7701956328125.1 |
$x^{12} - x^{10} - 2 x^{9} - 2 x^{8} + x^{7} + x^{6} + x^{5} - 2 x^{4} - 2 x^{3} - x^{2} + 1$ |
$12$ |
[4,4] |
$5^{7}\cdot 9929^{2}$ |
$2$ |
$11.8545049128$ |
$333.1810239839254$ |
|
|
✓ |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$7$ |
$52.2154264178$ |
| 12.0.9063628203125.1 |
$x^{12} + x^{10} - x^{9} + 2 x^{7} - x^{6} + 2 x^{5} - x^{3} + x^{2} + 1$ |
$12$ |
[0,6] |
$5^{7}\cdot 10771^{2}$ |
$2$ |
$12.0164220489$ |
$347.0208076301062$ |
|
|
|
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$5$ |
$45.1564505334$ |
| 12.4.9356132083073.1 |
$x^{12} - 3 x^{11} + 4 x^{10} - 4 x^{9} - x^{8} + 3 x^{7} + x^{6} + 3 x^{5} - x^{4} - 4 x^{3} + 4 x^{2} - 3 x + 1$ |
$12$ |
[4,4] |
$17^{7}\cdot 151^{2}$ |
$2$ |
$12.048270108478023$ |
$102.87862820314302$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$7$ |
$53.44854561533214$ |
| 12.4.10027050078125.1 |
$x^{12} - x^{11} - 2 x^{10} + 3 x^{9} - 2 x^{8} - 3 x^{7} + 3 x^{6} - 3 x^{5} - 2 x^{4} + 3 x^{3} - 2 x^{2} - x + 1$ |
$12$ |
[4,4] |
$5^{7}\cdot 11329^{2}$ |
$2$ |
$12.1180041994$ |
$355.89615140582174$ |
|
|
✓ |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$7$ |
$57.8455667552$ |
| 12.4.15565095703125.1 |
$x^{12} - 3 x^{11} + 11 x^{9} - 8 x^{8} - 13 x^{7} + 13 x^{6} + 13 x^{5} - 8 x^{4} - 11 x^{3} + 3 x + 1$ |
$12$ |
[4,4] |
$3^{2}\cdot 5^{9}\cdot 941^{2}$ |
$3$ |
$12.570309851373306$ |
$217.24720256820567$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$7$ |
$81.94423533884684$ |
| 12.0.29618737578125.1 |
$x^{12} - 2 x^{11} + x^{10} + 3 x^{9} - 3 x^{8} - 2 x^{7} + 5 x^{6} - 2 x^{5} - 3 x^{4} + 3 x^{3} + x^{2} - 2 x + 1$ |
$12$ |
[0,6] |
$5^{7}\cdot 19471^{2}$ |
$2$ |
$13.2626572234$ |
$466.5751793114289$ |
|
|
✓ |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$5$ |
$61.2647146174$ |
| 12.0.38361037578125.1 |
$x^{12} - x^{11} - x^{10} + 3 x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} + 3 x^{3} - x^{2} - x + 1$ |
$12$ |
[0,6] |
$5^{7}\cdot 22159^{2}$ |
$2$ |
$13.551608984252185$ |
$497.74004416672085$ |
|
|
✓ |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$5$ |
$88.51663366874324$ |
| 12.4.69317606953125.1 |
$x^{12} - 2 x^{11} - 2 x^{9} + x^{8} + 3 x^{7} + 3 x^{6} + 3 x^{5} + x^{4} - 2 x^{3} - 2 x + 1$ |
$12$ |
[4,4] |
$3^{2}\cdot 5^{7}\cdot 9929^{2}$ |
$3$ |
$14.2365130351$ |
$577.0864616579835$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
$[2]$ |
$2$ |
$7$ |
$183.529149107$ |
| 12.0.72705206386688.1 |
$x^{12} + 2 x^{10} + 5 x^{8} + 24 x^{6} + 22 x^{4} + 12 x^{2} + 2$ |
$12$ |
[0,6] |
$2^{37}\cdot 23^{2}$ |
$2$ |
$14.2932325364$ |
$101.68978670583387$ |
|
|
|
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$5$ |
$418.557184107$ |
| 12.4.72705206386688.1 |
$x^{12} - 6 x^{10} + 5 x^{8} + 8 x^{6} - 2 x^{4} - 4 x^{2} + 2$ |
$12$ |
[4,4] |
$2^{37}\cdot 23^{2}$ |
$2$ |
$14.2932325364$ |
$101.68978670583387$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$7$ |
$305.879772973$ |
| 12.8.116674689453125.1 |
$x^{12} - 3 x^{11} - 6 x^{10} + 25 x^{9} + 4 x^{8} - 71 x^{7} + 33 x^{6} + 74 x^{5} - 64 x^{4} - 12 x^{3} + 29 x^{2} - 10 x + 1$ |
$12$ |
[8,2] |
$5^{9}\cdot 59^{2}\cdot 131^{2}$ |
$3$ |
$14.867846014$ |
$293.9606214962803$ |
|
|
✓ |
$S_4^2:C_4$ (as 12T237) |
trivial |
$[2]$ |
$2$ |
$9$ |
$426.014564378$ |
| 12.8.120080626953125.1 |
$x^{12} - x^{11} - 8 x^{10} + 4 x^{9} + 21 x^{8} - 17 x^{7} - 39 x^{6} + 29 x^{5} + 48 x^{4} - 12 x^{3} - 23 x^{2} - 3 x + 1$ |
$12$ |
[8,2] |
$5^{9}\cdot 7841^{2}$ |
$2$ |
$14.9035391317$ |
$296.0828347910079$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
$[2]$ |
$2$ |
$9$ |
$418.672230243$ |
| 12.8.224818651250000.1 |
$x^{12} - 5 x^{10} + 4 x^{8} + 24 x^{4} - 25 x^{2} + 5$ |
$12$ |
[8,2] |
$2^{4}\cdot 5^{7}\cdot 13411^{2}$ |
$3$ |
$15.7031228449$ |
$774.4405418913666$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$9$ |
$723.387865527$ |
| 12.8.264764548828125.1 |
$x^{12} - 3 x^{11} - 3 x^{10} + 13 x^{9} + 3 x^{8} - 16 x^{7} - 19 x^{6} + 23 x^{5} + 41 x^{4} - 61 x^{3} - 3 x^{2} + 44 x - 19$ |
$12$ |
[8,2] |
$3^{2}\cdot 5^{9}\cdot 3881^{2}$ |
$3$ |
$15.9186042579$ |
$360.7945361423178$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
$[2]$ |
$2$ |
$9$ |
$628.571652529$ |
| 12.0.290820825546752.1 |
$x^{12} + 4 x^{8} - 4 x^{6} - 3 x^{4} + 4 x^{2} + 2$ |
$12$ |
[0,6] |
$2^{39}\cdot 23^{2}$ |
$2$ |
$16.0436110698$ |
|
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$5$ |
$425.778377601$ |
| 12.4.290820825546752.1 |
$x^{12} - 2 x^{10} + 5 x^{8} - 24 x^{6} + 22 x^{4} - 12 x^{2} + 2$ |
$12$ |
[4,4] |
$2^{39}\cdot 23^{2}$ |
$2$ |
$16.0436110698$ |
$101.68978670583387$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$7$ |
$1010.50704075$ |
| 12.0.290820825546752.2 |
$x^{12} + 6 x^{10} + 5 x^{8} - 8 x^{6} - 2 x^{4} + 4 x^{2} + 2$ |
$12$ |
[0,6] |
$2^{39}\cdot 23^{2}$ |
$2$ |
$16.0436110698$ |
$101.68978670583387$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$5$ |
$451.435903969$ |
| 12.4.290820825546752.2 |
$x^{12} + 4 x^{8} + 4 x^{6} - 3 x^{4} - 4 x^{2} + 2$ |
$12$ |
[4,4] |
$2^{39}\cdot 23^{2}$ |
$2$ |
$16.0436110698$ |
|
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$7$ |
$979.849197697$ |
| 12.4.302126794453125.1 |
$x^{12} - x^{11} - x^{10} + x^{9} - 3 x^{8} - x^{7} - x^{6} - x^{5} - 3 x^{4} + x^{3} - x^{2} - x + 1$ |
$12$ |
[4,4] |
$3^{2}\cdot 5^{7}\cdot 19^{2}\cdot 1091^{2}$ |
$4$ |
$16.0946833573$ |
$833.8295968505179$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
$[2]$ |
$2$ |
$7$ |
$400.586504245$ |
| 12.8.302126794453125.1 |
$x^{12} - 9 x^{10} - 11 x^{9} + 5 x^{8} + 22 x^{7} + 29 x^{6} + 22 x^{5} + 5 x^{4} - 11 x^{3} - 9 x^{2} + 1$ |
$12$ |
[8,2] |
$3^{2}\cdot 5^{7}\cdot 19^{2}\cdot 1091^{2}$ |
$4$ |
$16.0946833573$ |
$833.8295968505179$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
$[2]$ |
$2$ |
$9$ |
$767.3616379$ |
| 12.8.495410580000000.1 |
$x^{12} - x^{11} - 11 x^{10} + 9 x^{9} + 47 x^{8} - 42 x^{7} - 81 x^{6} + 88 x^{5} + 49 x^{4} - 75 x^{3} + 20 x - 5$ |
$12$ |
[8,2] |
$2^{8}\cdot 3^{4}\cdot 5^{7}\cdot 7^{2}\cdot 79^{2}$ |
$5$ |
$16.771829538$ |
$216.19087538269434$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$9$ |
$970.539827361$ |
| 12.4.717439927058432.1 |
$x^{12} - 12 x^{8} - 4 x^{6} + 21 x^{4} + 20 x^{2} + 2$ |
$12$ |
[4,4] |
$2^{33}\cdot 17^{4}$ |
$2$ |
$17.2974517775$ |
|
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$7$ |
$1339.10305164$ |
| 12.0.1008200000000000.1 |
$x^{12} + 10 x^{10} + 40 x^{8} + 80 x^{6} + 80 x^{4} + 35 x^{2} + 5$ |
$12$ |
[0,6] |
$2^{12}\cdot 5^{11}\cdot 71^{2}$ |
$3$ |
$17.794900244521717$ |
$135.13969057630348$ |
|
|
✓ |
$S_4^2:C_4$ (as 12T237) |
$[2]$ |
$[2]$ |
$2$ |
$5$ |
$134.1622300151763$ |
| 12.4.1027371533203125.1 |
$x^{12} - 3 x^{11} + x^{10} - 5 x^{9} + 5 x^{8} - 3 x^{7} + 9 x^{6} - 3 x^{5} + 5 x^{4} - 5 x^{3} + x^{2} - 3 x + 1$ |
$12$ |
[4,4] |
$3^{2}\cdot 5^{11}\cdot 11^{2}\cdot 139^{2}$ |
$4$ |
$17.822855826576777$ |
$296.1330461861123$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
$[2]$ |
$2$ |
$7$ |
$738.9379603482661$ |
| 12.4.1056349293828125.1 |
$x^{12} - 2 x^{11} - 5 x^{10} - 5 x^{9} + 24 x^{8} + 28 x^{7} + 4 x^{6} - 20 x^{5} + 14 x^{4} + 25 x^{3} + 6 x^{2} - 8 x - 1$ |
$12$ |
[4,4] |
$5^{7}\cdot 11^{4}\cdot 31^{4}$ |
$3$ |
$17.864216039171254$ |
$92.08102399853139$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
$[2]$ |
$2$ |
$7$ |
$726.9561072075427$ |
| 12.4.1141260857376768.4 |
$x^{12} - 12 x^{8} - 16 x^{6} + 36 x^{4} + 96 x^{2} + 32$ |
$12$ |
[4,4] |
$2^{31}\cdot 3^{12}$ |
$2$ |
$17.9796849225$ |
$47.713870191292706$ |
|
|
|
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$7$ |
$4272.54928936$ |
| 12.0.1163283302187008.1 |
$x^{12} + 4 x^{10} + 8 x^{8} + 12 x^{6} + 11 x^{4} + 8 x^{2} + 2$ |
$12$ |
[0,6] |
$2^{41}\cdot 23^{2}$ |
$2$ |
$18.0083445437$ |
$93.24994556187029$ |
|
|
✓ |
$S_4^2:C_4$ (as 12T237) |
$[2]$ |
$[2]$ |
$2$ |
$5$ |
$443.867453148$ |
| 12.4.1163283302187008.1 |
$x^{12} - 6 x^{10} + 23 x^{8} - 48 x^{6} + 46 x^{4} - 20 x^{2} + 2$ |
$12$ |
[4,4] |
$2^{41}\cdot 23^{2}$ |
$2$ |
$18.0083445437$ |
|
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$7$ |
$2097.50635417$ |
| 12.0.1163283302187008.2 |
$x^{12} + 6 x^{10} + 23 x^{8} + 48 x^{6} + 46 x^{4} + 20 x^{2} + 2$ |
$12$ |
[0,6] |
$2^{41}\cdot 23^{2}$ |
$2$ |
$18.0083445437$ |
|
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$5$ |
$814.606842994$ |
| 12.4.1163283302187008.2 |
$x^{12} - 4 x^{10} + 8 x^{8} - 12 x^{6} + 11 x^{4} - 8 x^{2} + 2$ |
$12$ |
[4,4] |
$2^{41}\cdot 23^{2}$ |
$2$ |
$18.0083445437$ |
$93.24994556187029$ |
|
|
✓ |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$7$ |
$2204.6134854$ |
| 12.0.1163283302187008.3 |
$x^{12} + 4 x^{10} + 6 x^{8} + 4 x^{6} + 7 x^{4} + 16 x^{2} + 8$ |
$12$ |
[0,6] |
$2^{41}\cdot 23^{2}$ |
$2$ |
$18.0083445437$ |
$93.24994556187029$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$5$ |
$974.033082494$ |
| 12.4.1163283302187008.3 |
$x^{12} - 4 x^{10} + 6 x^{8} - 4 x^{6} + 7 x^{4} - 16 x^{2} + 8$ |
$12$ |
[4,4] |
$2^{41}\cdot 23^{2}$ |
$2$ |
$18.0083445437$ |
$93.24994556187029$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
$[2]$ |
$2$ |
$7$ |
$1873.44446254$ |
| 12.0.1163283302187008.4 |
$x^{12} + 2 x^{10} - x^{8} + 8 x^{4} + 16 x^{2} + 8$ |
$12$ |
[0,6] |
$2^{41}\cdot 23^{2}$ |
$2$ |
$18.0083445437$ |
|
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$5$ |
$1056.15680155$ |
| 12.4.1163283302187008.4 |
$x^{12} - 2 x^{10} - x^{8} + 8 x^{4} - 16 x^{2} + 8$ |
$12$ |
[4,4] |
$2^{41}\cdot 23^{2}$ |
$2$ |
$18.0083445437$ |
|
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$7$ |
$2006.09808968$ |
| 12.4.1240804736328125.1 |
$x^{12} - 2 x^{11} + 11 x^{10} - 20 x^{9} + 30 x^{8} - 52 x^{7} - 11 x^{6} + 3 x^{5} - 65 x^{4} + 80 x^{3} - 59 x^{2} - 12 x + 1$ |
$12$ |
[4,4] |
$5^{11}\cdot 71^{4}$ |
$2$ |
$18.105420684111436$ |
$106.94642350747239$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
$[2]$ |
$[2, 2]$ |
$2$ |
$7$ |
$418.7100827562533$ |
| 12.4.1722368000000000.1 |
$x^{12} + 3 x^{10} - 6 x^{8} - 13 x^{6} + 16 x^{4} - 5 x^{2} + 5$ |
$12$ |
[4,4] |
$2^{20}\cdot 5^{9}\cdot 29^{2}$ |
$3$ |
$18.60703447727206$ |
$107.91636897028656$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
$[2]$ |
$2$ |
$7$ |
$1130.0580465869289$ |
| 12.4.1942943768526848.1 |
$x^{12} - 3 x^{11} + 2 x^{10} - 5 x^{9} + 15 x^{8} - 24 x^{7} + 36 x^{6} - 24 x^{5} + 15 x^{4} - 5 x^{3} + 2 x^{2} - 3 x + 1$ |
$12$ |
[4,4] |
$2^{14}\cdot 17^{9}$ |
$2$ |
$18.7948278702$ |
$58.41215284420347$ |
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$7$ |
$3358.39990582$ |
| 12.4.1983246246084608.1 |
$x^{12} - 4 x^{11} + 4 x^{10} + 8 x^{7} - 22 x^{6} + 12 x^{5} - 2 x^{4} + 16 x^{2} - 8 x - 7$ |
$12$ |
[4,4] |
$2^{31}\cdot 31^{4}$ |
$2$ |
$18.8270114506$ |
|
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$7$ |
$2615.7754429$ |
| 12.4.2403815886159872.1 |
$x^{12} - 4 x^{10} - 4 x^{9} + 8 x^{8} + 32 x^{7} + 22 x^{6} - 24 x^{5} - 96 x^{4} - 172 x^{3} - 172 x^{2} - 88 x - 17$ |
$12$ |
[4,4] |
$2^{33}\cdot 23^{4}$ |
$2$ |
$19.1311803905$ |
|
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
$[2]$ |
$2$ |
$7$ |
$2184.09941956$ |
| 12.0.2403815886159872.15 |
$x^{12} - 4 x^{9} - 2 x^{8} + 8 x^{7} - 14 x^{6} + 8 x^{5} + 26 x^{4} + 116 x^{3} + 220 x^{2} + 112 x + 71$ |
$12$ |
[0,6] |
$2^{33}\cdot 23^{4}$ |
$2$ |
$19.1311803905$ |
|
|
|
? |
$S_4^2:C_4$ (as 12T237) |
trivial |
trivial |
$2$ |
$5$ |
$840.244958527$ |
| 12.0.2403815886159872.16 |
$x^{12} - 4 x^{11} + 6 x^{10} - 8 x^{9} + 17 x^{8} - 24 x^{7} + 34 x^{6} - 132 x^{5} + 393 x^{4} - 664 x^{3} + 652 x^{2} - 352 x + 82$ |
$12$ |
[0,6] |
$2^{33}\cdot 23^{4}$ |
$2$ |
$19.1311803905$ |
|
|
|
? |
$S_4^2:C_4$ (as 12T237) |
$[2]$ |
$[2]$ |
$2$ |
$5$ |
$462.474534892$ |
