| 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 |
Unit signature rank |
Max $p$ |
| 12.4.5744580078125.1 |
$x^{12} - 2 x^{11} + x^{10} + 5 x^{9} - 12 x^{7} - x^{6} + 18 x^{5} - 20 x^{4} - 5 x^{3} + 16 x^{2} - 7 x + 1$ |
$12$ |
(4, 4) |
$5^{11}\cdot 7^{6}$ |
$2$ |
$11.5683527774$ |
$11.568352777429151$ |
|
|
? |
$S_3 \times C_4$ (as 12T11) |
trivial |
$[2]$ |
$2$ |
$7$ |
$41.9630859692$ |
$3$ |
$7$ |
| 12.4.9112500000000.1 |
$x^{12} - 6 x^{11} + 14 x^{10} - 15 x^{9} + 5 x^{8} + 4 x^{7} - 9 x^{6} + 16 x^{5} - 15 x^{4} + 5 x^{3} - x^{2} + x + 1$ |
$12$ |
(4, 4) |
$2^{8}\cdot 3^{6}\cdot 5^{11}$ |
$3$ |
$12.0218082084$ |
$12.021808208412303$ |
|
|
? |
$S_3 \times C_4$ (as 12T11) |
trivial |
$[2]$ |
$2$ |
$7$ |
$56.4359851616$ |
$3$ |
$5$ |
| 12.4.12800000000000.1 |
$x^{12} - 2 x^{11} + x^{10} - 10 x^{8} + 18 x^{7} - 26 x^{6} + 8 x^{5} + 15 x^{4} - 20 x^{3} + 6 x^{2} + 8 x - 4$ |
$12$ |
(4, 4) |
$2^{18}\cdot 5^{11}$ |
$2$ |
$12.3670893207$ |
$12.367089320707036$ |
|
|
? |
$S_3 \times C_4$ (as 12T11) |
trivial |
$[2]$ |
$2$ |
$7$ |
$78.0328195859$ |
$3$ |
$5$ |
| 12.6.17476123046875.1 |
$x^{12} - 2 x^{11} - 4 x^{10} + 10 x^{9} - 17 x^{7} + 19 x^{6} + 8 x^{5} - 25 x^{4} + 10 x^{3} + 6 x^{2} - 12 x + 1$ |
$12$ |
(6, 3) |
$-\,5^{11}\cdot 71^{3}$ |
$2$ |
$12.6922053828$ |
$106.94642350747239$ |
|
|
✓ |
$S_4^2:C_4$ (as 12T238) |
trivial |
$[2]$ |
$2$ |
$8$ |
$105.735789568$ |
$5$ |
$71$ |
| 12.2.17476123046875.1 |
$x^{12} - 3 x^{11} + x^{10} + 15 x^{9} - 45 x^{8} + 77 x^{7} - 91 x^{6} + 77 x^{5} - 45 x^{4} + 15 x^{3} + x^{2} - 3 x + 1$ |
$12$ |
(2, 5) |
$-\,5^{11}\cdot 71^{3}$ |
$2$ |
$12.6922053828$ |
$36.8427193908623$ |
|
|
? |
$S_3^2:C_4$ (as 12T80) |
trivial |
$[2]$ |
$2$ |
$6$ |
$55.0957601287$ |
$1$ |
$71$ |
| 12.2.51200000000000.1 |
$x^{12} + 5 x^{10} + 5 x^{8} - 5 x^{4} - 5 x^{2} - 5$ |
$12$ |
(2, 5) |
$-\,2^{20}\cdot 5^{11}$ |
$2$ |
$13.8815884105$ |
$39.8341555707031$ |
|
|
|
$C_2\wr D_6$ (as 12T193) |
trivial |
$[2]$ |
$2$ |
$6$ |
$174.95746509$ |
$1$ |
$5$ |
| 12.2.51200000000000.2 |
$x^{12} - 5 x^{10} + 5 x^{8} + 10 x^{6} - 25 x^{4} + 35 x^{2} - 5$ |
$12$ |
(2, 5) |
$-\,2^{20}\cdot 5^{11}$ |
$2$ |
$13.8815884105$ |
$20.798882153810084$ |
|
|
|
$S_3\times D_4$ (as 12T28) |
trivial |
$[2]$ |
$2$ |
$6$ |
$138.931001874$ |
$1$ |
$5$ |
| 12.4.85465283203125.1 |
$x^{12} - 4 x^{11} + 9 x^{10} - 10 x^{9} + 16 x^{7} - 24 x^{6} - 41 x^{5} + 45 x^{4} - 10 x^{3} - 6 x^{2} + 14 x + 1$ |
$12$ |
(4, 4) |
$3^{6}\cdot 5^{11}\cdot 7^{4}$ |
$3$ |
$14.4871340275$ |
$20.036974770387825$ |
|
|
? |
$S_3 \times C_4$ (as 12T11) |
trivial |
$[2]$ |
$2$ |
$7$ |
$210.207248027$ |
$3$ |
$7$ |
| 12.4.145800000000000.1 |
$x^{12} - 4 x^{11} + 9 x^{10} - 5 x^{9} - 10 x^{8} + 21 x^{7} - 24 x^{6} - 31 x^{5} + 10 x^{4} + 15 x^{3} - 31 x^{2} - 11 x + 1$ |
$12$ |
(4, 4) |
$2^{12}\cdot 3^{6}\cdot 5^{11}$ |
$3$ |
$15.1465292196$ |
$21.42042704520706$ |
|
|
? |
$S_3 \times C_4$ (as 12T11) |
trivial |
$[2]$ |
$2$ |
$7$ |
$256.4625112$ |
$3$ |
$5$ |
| 12.4.145800000000000.2 |
$x^{12} - 4 x^{11} + 4 x^{10} - 5 x^{8} + 16 x^{7} - 4 x^{6} - 16 x^{5} - 5 x^{4} + 4 x^{2} + 4 x + 1$ |
$12$ |
(4, 4) |
$2^{12}\cdot 3^{6}\cdot 5^{11}$ |
$3$ |
$15.1465292196$ |
$22.37510626788399$ |
|
|
? |
$C_4\times S_4$ (as 12T53) |
trivial |
$[2]$ |
$2$ |
$7$ |
$357.617824568$ |
$3$ |
$5$ |
| 12.8.179437939453125.1 |
$x^{12} - 3 x^{11} - 4 x^{10} + 20 x^{9} - 5 x^{8} - 43 x^{7} + 39 x^{6} + 27 x^{5} - 55 x^{4} + 5 x^{3} + 36 x^{2} + 12 x + 1$ |
$12$ |
(8, 2) |
$3^{6}\cdot 5^{11}\cdot 71^{2}$ |
$3$ |
$15.4108356696$ |
$63.81346187397658$ |
|
|
? |
$S_3^2:C_4$ (as 12T79) |
trivial |
$[2]$ |
$2$ |
$9$ |
$538.825220498$ |
$7$ |
$71$ |
| 12.0.204800000000000.1 |
$x^{12} - 3 x^{11} + 11 x^{10} - 15 x^{9} + 30 x^{8} - 33 x^{7} + 69 x^{6} - 63 x^{5} + 20 x^{4} + 25 x^{3} + 21 x^{2} - 3 x + 1$ |
$12$ |
(0, 6) |
$2^{22}\cdot 5^{11}$ |
$2$ |
$15.5815561611$ |
$34.979410888846715$ |
|
|
? |
$C_4\times S_4$ (as 12T53) |
$[2]$ |
$[2]$ |
$2$ |
$5$ |
$85.3780954472$ |
$0$ |
$5$ |
| 12.4.204800000000000.1 |
$x^{12} - 3 x^{11} + x^{10} + 15 x^{9} - 50 x^{8} + 77 x^{7} - 91 x^{6} + 57 x^{5} - 20 x^{4} - 35 x^{3} + 51 x^{2} - 33 x + 31$ |
$12$ |
(4, 4) |
$2^{22}\cdot 5^{11}$ |
$2$ |
$15.5815561611$ |
$29.41406122411795$ |
|
|
? |
$C_4\times S_4$ (as 12T53) |
trivial |
$[2]$ |
$2$ |
$7$ |
$348.372380687$ |
$3$ |
$5$ |
| 12.0.204800000000000.2 |
$x^{12} + 10 x^{10} + 35 x^{8} + 70 x^{6} + 85 x^{4} + 60 x^{2} + 20$ |
$12$ |
(0, 6) |
$2^{22}\cdot 5^{11}$ |
$2$ |
$15.5815561611$ |
$17.489705444423358$ |
|
|
|
$S_3 \times C_4$ (as 12T11) |
$[2]$ |
$[2]$ |
$2$ |
$5$ |
$102.745462078$ |
$0$ |
$5$ |
| 12.4.233543408203125.1 |
$x^{12} - 3 x^{11} + 6 x^{10} - 15 x^{9} + 15 x^{8} - 18 x^{7} + 24 x^{6} - 18 x^{5} + 45 x^{4} - 45 x^{3} - 9 x^{2} + 27 x - 9$ |
$12$ |
(4, 4) |
$3^{14}\cdot 5^{11}$ |
$2$ |
$15.7530252025$ |
$20.109020335878515$ |
|
|
? |
$C_6.D_6$ (as 12T39) |
trivial |
$[2]$ |
$2$ |
$7$ |
$334.165246224$ |
$3$ |
$5$ |
| 12.4.233543408203125.2 |
$x^{12} - 6 x^{11} + 9 x^{10} - 6 x^{7} - 4 x^{6} + 6 x^{5} + 9 x^{2} + 6 x + 1$ |
$12$ |
(4, 4) |
$3^{14}\cdot 5^{11}$ |
$2$ |
$15.7530252025$ |
$15.753025202513207$ |
|
|
? |
$S_3 \times C_4$ (as 12T11) |
trivial |
$[2]$ |
$2$ |
$7$ |
$335.784870604$ |
$3$ |
$5$ |
| 12.4.732050000000000.1 |
$x^{12} - x^{11} - 6 x^{10} + 15 x^{9} + 15 x^{8} - 46 x^{7} - 29 x^{6} + 61 x^{5} + 40 x^{4} - 45 x^{3} - 21 x^{2} + 16 x - 4$ |
$12$ |
(4, 4) |
$2^{10}\cdot 5^{11}\cdot 11^{4}$ |
$3$ |
$17.3265353412$ |
$94.11424080061563$ |
|
|
|
$C_3^4:C_4^2:C_4$ (as 12T263) |
trivial |
$[2]$ |
$2$ |
$7$ |
$1142.19319877$ |
$3$ |
$11$ |
| 12.2.819200000000000.1 |
$x^{12} + 5 x^{8} + 15 x^{4} - 5$ |
$12$ |
(2, 5) |
$-\,2^{24}\cdot 5^{11}$ |
$2$ |
$17.4897054444$ |
$32.07626121398994$ |
|
|
|
$D_4\times S_4$ (as 12T86) |
trivial |
$[2]$ |
$2$ |
$6$ |
$608.658889294$ |
$1$ |
$5$ |
| 12.2.819200000000000.2 |
$x^{12} - 5 x^{10} + 5 x^{8} - 5 x^{4} + 5 x^{2} - 5$ |
$12$ |
(2, 5) |
$-\,2^{24}\cdot 5^{11}$ |
$2$ |
$17.4897054444$ |
$39.8341555707031$ |
|
|
|
$C_2\wr D_6$ (as 12T193) |
trivial |
$[2]$ |
$2$ |
$6$ |
$592.785037064$ |
$1$ |
$5$ |
| 12.0.819200000000000.1 |
$x^{12} - 2 x^{11} + 6 x^{10} - 10 x^{9} + 25 x^{8} - 32 x^{7} + 44 x^{6} - 32 x^{5} + 25 x^{4} - 10 x^{3} + 6 x^{2} - 2 x + 1$ |
$12$ |
(0, 6) |
$2^{24}\cdot 5^{11}$ |
$2$ |
$17.4897054444$ |
$20.798882153810084$ |
|
|
? |
$S_3\times D_4$ (as 12T28) |
$[4]$ |
$[4]$ |
$2$ |
$5$ |
$297.022356649$ |
$0$ |
$5$ |
| 12.0.819200000000000.4 |
$x^{12} - 5 x^{10} + 10 x^{8} - 30 x^{6} + 85 x^{4} - 65 x^{2} + 20$ |
$12$ |
(0, 6) |
$2^{24}\cdot 5^{11}$ |
$2$ |
$17.4897054444$ |
$39.8341555707031$ |
|
|
|
$C_2\wr D_6$ (as 12T186) |
$[4]$ |
$[4]$ |
$2$ |
$5$ |
$587.912776686$ |
$0$ |
$5$ |
| 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 |
$[2]$ |
$2$ |
$7$ |
$738.9379603482661$ |
$3$ |
$139$ |
| 12.4.1470612500000000.1 |
$x^{12} - x^{11} - 6 x^{10} + 15 x^{8} + 14 x^{7} - 9 x^{6} - 34 x^{5} - 15 x^{4} + 50 x^{3} - 36 x^{2} + 21 x + 11$ |
$12$ |
(4, 4) |
$2^{8}\cdot 5^{11}\cdot 7^{6}$ |
$3$ |
$18.3636153684$ |
$18.363615368430278$ |
|
|
? |
$C_6.D_6$ (as 12T39) |
trivial |
$[2]$ |
$2$ |
$7$ |
$1165.01382505$ |
$3$ |
$7$ |
| 12.0.2332800000000000.1 |
$x^{12} + 5 x^{10} - 10 x^{8} - 35 x^{6} + 10 x^{4} + 105 x^{2} + 45$ |
$12$ |
(0, 6) |
$2^{16}\cdot 3^{6}\cdot 5^{11}$ |
$3$ |
$19.0834309966$ |
$19.083430996593624$ |
|
|
? |
$S_3 \times C_4$ (as 12T11) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$5$ |
$191.661453404$ |
$0$ |
$5$ |
| 12.0.3276800000000000.4 |
$x^{12} - 15 x^{8} + 20 x^{6} + 25 x^{4} - 50 x^{2} + 20$ |
$12$ |
(0, 6) |
$2^{26}\cdot 5^{11}$ |
$2$ |
$19.6315305975$ |
$29.41406122411795$ |
|
|
|
$C_4\times S_4$ (as 12T53) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$5$ |
$181.050247843$ |
$0$ |
$5$ |
| 12.0.3276800000000000.5 |
$x^{12} + 5 x^{10} + 5 x^{8} - 10 x^{6} - 10 x^{4} + 20 x^{2} + 20$ |
$12$ |
(0, 6) |
$2^{26}\cdot 5^{11}$ |
$2$ |
$19.6315305975$ |
$47.37106122480541$ |
|
|
|
$C_2^5.D_6$ (as 12T155) |
$[2]$ |
$[2]$ |
$2$ |
$5$ |
$396.980220825$ |
$0$ |
$5$ |
| 12.4.3276800000000000.5 |
$x^{12} - 5 x^{8} - 20 x^{6} + 75 x^{4} - 70 x^{2} + 20$ |
$12$ |
(4, 4) |
$2^{26}\cdot 5^{11}$ |
$2$ |
$19.6315305975$ |
$39.8341555707031$ |
|
|
|
$C_2^5.D_6$ (as 12T155) |
trivial |
$[2]$ |
$2$ |
$7$ |
$1932.81064084$ |
$3$ |
$5$ |
| 12.0.3276800000000000.6 |
$x^{12} - 5 x^{8} + 20 x^{6} + 75 x^{4} + 70 x^{2} + 20$ |
$12$ |
(0, 6) |
$2^{26}\cdot 5^{11}$ |
$2$ |
$19.6315305975$ |
$39.8341555707031$ |
|
|
|
$C_2^5.D_6$ (as 12T155) |
$[2]$ |
$[2]$ |
$2$ |
$5$ |
$357.796397447$ |
$0$ |
$5$ |
| 12.4.3276800000000000.6 |
$x^{12} - 5 x^{10} + 5 x^{8} + 10 x^{6} - 10 x^{4} - 20 x^{2} + 20$ |
$12$ |
(4, 4) |
$2^{26}\cdot 5^{11}$ |
$2$ |
$19.6315305975$ |
$47.37106122480541$ |
|
|
|
$C_2^5.D_6$ (as 12T155) |
trivial |
$[2]$ |
$2$ |
$7$ |
$1781.01820021$ |
$3$ |
$5$ |
| 12.0.3276800000000000.7 |
$x^{12} + 15 x^{10} + 75 x^{8} + 170 x^{6} + 190 x^{4} + 100 x^{2} + 20$ |
$12$ |
(0, 6) |
$2^{26}\cdot 5^{11}$ |
$2$ |
$19.6315305975$ |
$34.979410888846715$ |
|
|
|
$C_4\times S_4$ (as 12T53) |
$[2]$ |
$[2]$ |
$2$ |
$5$ |
$270.769639412$ |
$0$ |
$5$ |
| 12.4.3276800000000000.7 |
$x^{12} - 15 x^{8} - 20 x^{6} + 25 x^{4} + 50 x^{2} + 20$ |
$12$ |
(4, 4) |
$2^{26}\cdot 5^{11}$ |
$2$ |
$19.6315305975$ |
$29.41406122411795$ |
|
|
|
$C_4\times S_4$ (as 12T53) |
trivial |
$[2]$ |
$2$ |
$7$ |
$1756.04872198$ |
$3$ |
$5$ |
| 12.4.3276800000000000.8 |
$x^{12} - 5 x^{10} - 15 x^{8} + 20 x^{6} + 200 x^{4} + 60 x^{2} + 20$ |
$12$ |
(4, 4) |
$2^{26}\cdot 5^{11}$ |
$2$ |
$19.6315305975$ |
$34.979410888846715$ |
|
|
|
$C_4\times S_4$ (as 12T53) |
trivial |
$[2]$ |
$2$ |
$7$ |
$1904.07311005$ |
$3$ |
$5$ |
| 12.12.4638867626953125.1 |
$x^{12} - 6 x^{11} + 4 x^{10} + 35 x^{9} - 55 x^{8} - 56 x^{7} + 136 x^{6} + x^{5} - 105 x^{4} + 40 x^{3} + 14 x^{2} - 9 x + 1$ |
$12$ |
(12, 0) |
$3^{6}\cdot 5^{11}\cdot 19^{4}$ |
$3$ |
$20.208511771$ |
$33.01109510676244$ |
|
|
? |
$S_3 \times C_4$ (as 12T11) |
trivial |
$[2]$ |
$2$ |
$11$ |
$6666.76699087$ |
$11$ |
$19$ |
| 12.2.13107200000000000.1 |
$x^{12} + 10 x^{10} + 60 x^{8} + 200 x^{6} + 220 x^{4} - 280 x^{2} - 80$ |
$12$ |
(2, 5) |
$-\,2^{28}\cdot 5^{11}$ |
$2$ |
$22.0356480459$ |
$47.37106122480541$ |
|
|
|
$C_2\wr D_6$ (as 12T193) |
$[2]$ |
$[2, 2]$ |
$2$ |
$6$ |
$1152.78317341$ |
$1$ |
$5$ |
| 12.2.13107200000000000.2 |
$x^{12} + 20 x^{4} - 80$ |
$12$ |
(2, 5) |
$-\,2^{28}\cdot 5^{11}$ |
$2$ |
$22.0356480459$ |
$38.145318058362655$ |
|
|
|
$D_4\times S_4$ (as 12T86) |
trivial |
$[2]$ |
$2$ |
$6$ |
$2138.44287679$ |
$1$ |
$5$ |
| 12.2.13107200000000000.3 |
$x^{12} - 10 x^{10} + 30 x^{8} - 20 x^{6} - 20 x^{4} + 40 x^{2} - 80$ |
$12$ |
(2, 5) |
$-\,2^{28}\cdot 5^{11}$ |
$2$ |
$22.0356480459$ |
$38.145318058362655$ |
|
|
|
$D_4\times S_4$ (as 12T86) |
trivial |
$[2]$ |
$2$ |
$6$ |
$2585.18846055$ |
$1$ |
$5$ |
| 12.2.13107200000000000.4 |
$x^{12} - 10 x^{10} + 60 x^{8} - 200 x^{6} + 220 x^{4} + 280 x^{2} - 80$ |
$12$ |
(2, 5) |
$-\,2^{28}\cdot 5^{11}$ |
$2$ |
$22.0356480459$ |
$47.37106122480541$ |
|
|
|
$C_2\wr D_6$ (as 12T193) |
trivial |
$[2]$ |
$2$ |
$6$ |
$2300.24931523$ |
$1$ |
$5$ |
| 12.0.13107200000000000.4 |
$x^{12} + 10 x^{8} + 25 x^{4} + 20$ |
$12$ |
(0, 6) |
$2^{28}\cdot 5^{11}$ |
$2$ |
$22.0356480459$ |
$32.07626121398994$ |
|
|
? |
$D_4\times S_4$ (as 12T86) |
$[4]$ |
$[4]$ |
$2$ |
$5$ |
$1301.25958393$ |
$0$ |
$5$ |
| 12.0.13107200000000000.6 |
$x^{12} + 5 x^{10} + 10 x^{8} + 30 x^{6} + 85 x^{4} + 65 x^{2} + 20$ |
$12$ |
(0, 6) |
$2^{28}\cdot 5^{11}$ |
$2$ |
$22.0356480459$ |
$39.8341555707031$ |
|
|
|
$C_2\wr D_6$ (as 12T186) |
$[4]$ |
$[4]$ |
$2$ |
$5$ |
$1991.94642504$ |
$0$ |
$5$ |
| 12.0.52428800000000000.10 |
$x^{12} - 5 x^{8} + 20$ |
$12$ |
(0, 6) |
$2^{30}\cdot 5^{11}$ |
$2$ |
$24.7341786414$ |
$56.33400305376811$ |
|
|
|
$C_4^3:D_6$ (as 12T185) |
$[4]$ |
$[4]$ |
$2$ |
$5$ |
$6723.89912357$ |
$0$ |
$5$ |
| 12.0.52428800000000000.11 |
$x^{12} - 3 x^{11} + x^{10} + 2 x^{7} + 34 x^{6} + 32 x^{5} - 65 x^{4} - 65 x^{3} + 211 x^{2} - 128 x + 26$ |
$12$ |
(0, 6) |
$2^{30}\cdot 5^{11}$ |
$2$ |
$24.7341786414$ |
$56.33400305376811$ |
|
|
? |
$C_4^3:D_6$ (as 12T185) |
$[4]$ |
$[4]$ |
$2$ |
$5$ |
$3128.43941211$ |
$0$ |
$5$ |
| 12.2.71582200000000000.1 |
$x^{12} + 15 x^{10} + 85 x^{8} + 210 x^{6} + 140 x^{4} - 265 x^{2} - 355$ |
$12$ |
(2, 5) |
$-\,2^{12}\cdot 5^{11}\cdot 71^{3}$ |
$3$ |
$25.3844107656$ |
$135.13969057630348$ |
|
|
? |
$S_4^2:C_4$ (as 12T238) |
$[2]$ |
$[2, 2]$ |
$2$ |
$6$ |
$1802.90690397$ |
$1$ |
$71$ |
| 12.2.106288200000000000.1 |
$x^{12} - 5$ |
$12$ |
(2, 5) |
$-\,2^{12}\cdot 3^{12}\cdot 5^{11}$ |
$3$ |
$26.2345581666$ |
$44.5562837795987$ |
|
|
|
$S_3\times D_4$ (as 12T28) |
trivial |
$[2]$ |
$2$ |
$6$ |
$10783.238322$ |
$1$ |
$5$ |
| 12.2.209...000.30 |
$x^{12} - 10 x^{10} + 35 x^{8} - 60 x^{6} - 35 x^{4} + 10 x^{2} - 5$ |
$12$ |
(2, 5) |
$-\,2^{32}\cdot 5^{11}$ |
$2$ |
$27.7631768211$ |
$56.33400305376811$ |
|
|
|
$C_4^3:D_6$ (as 12T185) |
$[2]$ |
$[4]$ |
$2$ |
$6$ |
$26528.1881559$ |
$1$ |
$5$ |
| 12.2.209...000.36 |
$x^{12} - 2 x^{11} + x^{10} + 15 x^{8} - 12 x^{7} - 66 x^{6} - 192 x^{5} - 175 x^{4} + 90 x^{3} + 331 x^{2} + 288 x + 91$ |
$12$ |
(2, 5) |
$-\,2^{32}\cdot 5^{11}$ |
$2$ |
$27.7631768211$ |
$56.33400305376811$ |
|
|
? |
$C_4^3:D_6$ (as 12T185) |
$[2]$ |
$[4]$ |
$2$ |
$6$ |
$12342.8129771$ |
$1$ |
$5$ |
| 12.4.209715200000000000.1 |
$x^{12} - 4 x^{11} - 6 x^{10} + 20 x^{9} + 30 x^{8} - 24 x^{7} - 64 x^{6} + 24 x^{5} + 110 x^{4} - 40 x^{3} - 36 x^{2} + 24 x - 4$ |
$12$ |
(4, 4) |
$2^{32}\cdot 5^{11}$ |
$2$ |
$27.7631768211$ |
$39.8341555707031$ |
|
|
? |
$C_2^5.D_6$ (as 12T153) |
$[2]$ |
$[4]$ |
$2$ |
$7$ |
$25624.5429958$ |
$3$ |
$5$ |
| 12.0.209715200000000000.5 |
$x^{12} + 30 x^{8} + 60 x^{6} + 185 x^{4} - 60 x^{2} + 20$ |
$12$ |
(0, 6) |
$2^{32}\cdot 5^{11}$ |
$2$ |
$27.7631768211$ |
$47.37106122480541$ |
|
|
|
$C_2\wr D_6$ (as 12T186) |
$[4]$ |
$[4]$ |
$2$ |
$5$ |
$7729.56993458$ |
$0$ |
$5$ |
| 12.0.209715200000000000.7 |
$x^{12} + 5 x^{10} + 10 x^{8} - 10 x^{4} - 10 x^{2} + 20$ |
$12$ |
(0, 6) |
$2^{32}\cdot 5^{11}$ |
$2$ |
$27.7631768211$ |
$85.01727347268607$ |
|
|
|
$D_4^3:S_3$ (as 12T250) |
$[4]$ |
$[4]$ |
$2$ |
$5$ |
$18347.2676057$ |
$0$ |
$5$ |
| 12.0.209715200000000000.8 |
$x^{12} + 25 x^{8} + 40 x^{4} + 20$ |
$12$ |
(0, 6) |
$2^{32}\cdot 5^{11}$ |
$2$ |
$27.7631768211$ |
$38.145318058362655$ |
|
|
? |
$D_4\times S_4$ (as 12T86) |
$[4]$ |
$[4]$ |
$2$ |
$5$ |
$5526.90730347$ |
$0$ |
$5$ |
| 12.0.209715200000000000.9 |
$x^{12} - 20 x^{6} + 65 x^{4} + 20 x^{2} + 20$ |
$12$ |
(0, 6) |
$2^{32}\cdot 5^{11}$ |
$2$ |
$27.7631768211$ |
$38.145318058362655$ |
|
|
? |
$D_4\times S_4$ (as 12T86) |
$[4]$ |
$[4]$ |
$2$ |
$5$ |
$4571.8042356$ |
$0$ |
$5$ |
