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 |
12.0.28455140560896.1 |
$x^{12} - 3 x^{10} - 4 x^{9} + 3 x^{8} + 6 x^{7} - 12 x^{6} + 12 x^{5} + 33 x^{4} - 4 x^{3} - 6 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{10}\cdot 7^{6}$ |
$3$ |
$13.2184356539$ |
$32.717314802631286$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
trivial |
$6$ |
$5$ |
$311.893578977$ |
12.0.29160000000000.1 |
$x^{12} - 4 x^{11} + 4 x^{10} + 2 x^{7} - 3 x^{6} - 2 x^{5} + 4 x^{2} + 4 x + 1$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{6}\cdot 5^{10}$ |
$3$ |
$13.2454167278$ |
$31.18323200079904$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
trivial |
$6$ |
$5$ |
$182.146386006$ |
12.0.47608675209216.1 |
$x^{12} - 2 x^{11} - 5 x^{10} + 16 x^{9} - x^{8} - 38 x^{7} + 40 x^{6} + 20 x^{5} - 58 x^{4} + 14 x^{3} + 25 x^{2} - 10 x + 1$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{8}\cdot 11^{6}$ |
$3$ |
$13.7977151471$ |
$38.94309359419253$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
trivial |
$6$ |
$5$ |
$392.471597206$ |
12.0.163840000000000.1 |
$x^{12} + 4 x^{10} - 20 x^{6} + 16 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{24}\cdot 5^{10}$ |
$2$ |
$15.2944898266$ |
$32.07885276296079$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
trivial |
$4$ |
$5$ |
$757.595712819$ |
12.0.475549784866816.3 |
$x^{12} - 4 x^{11} + 10 x^{10} - 12 x^{9} + 8 x^{8} + 4 x^{7} + 8 x^{6} - 80 x^{5} + 246 x^{4} - 416 x^{3} + 434 x^{2} - 264 x + 73$ |
$12$ |
[0,6] |
$2^{28}\cdot 11^{6}$ |
$2$ |
$16.7147415519$ |
$40.63282352308103$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$5$ |
$1083.86692494$ |
12.0.475549784866816.6 |
$x^{12} + 2 x^{10} + 2 x^{8} - 16 x^{7} + 8 x^{6} - 12 x^{5} + 12 x^{3} + 10 x^{2} + 4 x + 1$ |
$12$ |
[0,6] |
$2^{28}\cdot 11^{6}$ |
$2$ |
$16.7147415519$ |
$40.63282352308103$ |
|
|
|
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$5$ |
$631.191385836$ |
12.0.475549784866816.9 |
$x^{12} + 3 x^{10} - 5 x^{8} + 2 x^{6} + 35 x^{4} - 29 x^{2} + 9$ |
$12$ |
[0,6] |
$2^{28}\cdot 11^{6}$ |
$2$ |
$16.7147415519$ |
$48.32084283629789$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
trivial |
$4$ |
$5$ |
$890.558922891$ |
12.0.475549784866816.24 |
$x^{12} - 3 x^{10} + 4 x^{8} - 24 x^{6} + 80 x^{4} - 48 x^{2} + 64$ |
$12$ |
[0,6] |
$2^{28}\cdot 11^{6}$ |
$2$ |
$16.7147415519$ |
$48.32084283629789$ |
|
|
|
$C_2\times S_5$ (as 12T123) |
trivial |
$4$ |
$5$ |
$2286.7408574$ |
12.0.655360000000000.3 |
$x^{12} - 4 x^{11} + 4 x^{10} + 4 x^{2} + 4 x + 1$ |
$12$ |
[0,6] |
$2^{26}\cdot 5^{10}$ |
$2$ |
$17.1674843787$ |
$42.82013114405259$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
trivial |
$4$ |
$5$ |
$2168.78805375$ |
12.0.729000000000000.1 |
$x^{12} - 6 x^{11} + 19 x^{10} - 40 x^{9} + 70 x^{8} - 106 x^{7} + 141 x^{6} - 154 x^{5} + 155 x^{4} - 130 x^{3} + 94 x^{2} - 44 x + 31$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{6}\cdot 5^{12}$ |
$3$ |
$17.3205080757$ |
$31.18323200079904$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
$[2]$ |
$2$ |
$5$ |
$158.409216426$ |
12.0.899086312013824.4 |
$x^{12} - 3 x^{11} + 9 x^{10} - 26 x^{9} + 67 x^{8} - 127 x^{7} + 177 x^{6} - 190 x^{5} + 169 x^{4} - 125 x^{3} + 69 x^{2} - 24 x + 4$ |
$12$ |
[0,6] |
$2^{22}\cdot 11^{8}$ |
$2$ |
$17.625851852$ |
$40.63282352308103$ |
|
|
|
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$5$ |
$425.416431339$ |
12.0.899086312013824.9 |
$x^{12} - 3 x^{11} + x^{10} + 6 x^{9} - 7 x^{8} - 5 x^{7} + 11 x^{6} - 42 x^{5} + 125 x^{4} - 121 x^{3} + 53 x^{2} - 28 x + 12$ |
$12$ |
[0,6] |
$2^{22}\cdot 11^{8}$ |
$2$ |
$17.625851852$ |
$40.63282352308103$ |
|
|
|
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$5$ |
$998.404948359$ |
12.0.1184787066781696.2 |
$x^{12} - 5 x^{11} + 13 x^{10} - 26 x^{9} + 51 x^{8} - 69 x^{7} + 83 x^{6} - 100 x^{5} + 78 x^{4} - 58 x^{3} + 54 x^{2} - 8 x + 8$ |
$12$ |
[0,6] |
$2^{22}\cdot 7^{10}$ |
$2$ |
$18.0358532119$ |
$34.04715710793443$ |
|
|
|
$C_2\times S_5$ (as 12T123) |
$[3]$ |
$2$ |
$5$ |
$577.419679866$ |
12.0.1547476985184256.1 |
$x^{12} - 2 x^{11} + 3 x^{10} + 2 x^{9} + 3 x^{8} + 4 x^{7} + 18 x^{6} - 4 x^{5} + 3 x^{4} - 2 x^{3} + 3 x^{2} + 2 x + 1$ |
$12$ |
[0,6] |
$2^{28}\cdot 7^{8}$ |
$2$ |
$18.4417451682$ |
$31.90883292885454$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$5$ |
$824.139051822$ |
12.4.1600000000000000.1 |
$x^{12} - 6 x^{11} + 21 x^{10} - 50 x^{9} + 90 x^{8} - 126 x^{7} + 131 x^{6} - 96 x^{5} + 25 x^{4} + 30 x^{3} - 56 x^{2} + 36 x - 1$ |
$12$ |
[4,4] |
$2^{18}\cdot 5^{14}$ |
$2$ |
$18.493111943$ |
$34.27271426496622$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$7$ |
$900.412330298$ |
12.0.1600000000000000.2 |
$x^{12} - 4 x^{11} + 8 x^{10} + 4 x^{7} - 16 x^{6} - 8 x^{5} + 8 x^{2} + 8 x + 4$ |
$12$ |
[0,6] |
$2^{18}\cdot 5^{14}$ |
$2$ |
$18.493111943$ |
$36.31067590725307$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
trivial |
$4$ |
$5$ |
$2663.05493892$ |
12.4.1902199139467264.1 |
$x^{12} - 2 x^{11} - 5 x^{10} + 10 x^{9} + x^{8} - 4 x^{6} + 8 x^{5} + 9 x^{4} - 34 x^{3} - 13 x^{2} + 2 x - 7$ |
$12$ |
[4,4] |
$2^{30}\cdot 11^{6}$ |
$2$ |
$18.7616630393$ |
$48.32084283629789$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$7$ |
$2449.58260095$ |
12.0.1902199139467264.5 |
$x^{12} - 2 x^{11} - x^{10} + 8 x^{9} - 22 x^{8} + 16 x^{7} + 44 x^{6} - 72 x^{5} + 25 x^{4} + 22 x^{3} - 33 x^{2} + 22$ |
$12$ |
[0,6] |
$2^{30}\cdot 11^{6}$ |
$2$ |
$18.7616630393$ |
$48.32084283629789$ |
|
|
|
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$5$ |
$2197.80813688$ |
12.0.2494869834563584.3 |
$x^{12} - 2 x^{11} + 5 x^{10} - 6 x^{9} + 20 x^{8} - 2 x^{7} + 29 x^{6} + 2 x^{5} + 20 x^{4} + 6 x^{3} + 5 x^{2} + 2 x + 1$ |
$12$ |
[0,6] |
$2^{22}\cdot 29^{6}$ |
$2$ |
$19.1905456946$ |
$44.533499491161095$ |
|
|
|
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$5$ |
$2189.03641237$ |
12.0.2621440000000000.2 |
$x^{12} - 4 x^{11} + 6 x^{10} - 20 x^{8} + 4 x^{7} + 44 x^{6} + 4 x^{5} - 20 x^{4} + 6 x^{2} - 4 x + 1$ |
$12$ |
[0,6] |
$2^{28}\cdot 5^{10}$ |
$2$ |
$19.26984968$ |
$42.82013114405259$ |
|
|
|
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$5$ |
$3881.28085459$ |
12.4.2621440000000000.2 |
$x^{12} - 4 x^{11} + 4 x^{10} + 12 x^{7} - 18 x^{6} - 12 x^{5} + 4 x^{2} + 4 x + 1$ |
$12$ |
[4,4] |
$2^{28}\cdot 5^{10}$ |
$2$ |
$19.26984968$ |
$42.82013114405259$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$7$ |
$2341.99871443$ |
12.4.2621440000000000.3 |
$x^{12} - 8 x^{10} + 20 x^{8} - 60 x^{6} + 100 x^{4} - 88 x^{2} + 4$ |
$12$ |
[4,4] |
$2^{28}\cdot 5^{10}$ |
$2$ |
$19.26984968$ |
$38.14839994683767$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$7$ |
$2052.73950916$ |
12.0.2621440000000000.5 |
$x^{12} - 8 x^{10} + 25 x^{8} - 4 x^{7} - 20 x^{6} - 8 x^{5} + 20 x^{4} - 4 x^{2} + 2$ |
$12$ |
[0,6] |
$2^{28}\cdot 5^{10}$ |
$2$ |
$19.26984968$ |
$42.82013114405259$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$5$ |
$1296.79422614$ |
12.0.2621440000000000.10 |
$x^{12} + 4 x^{10} - 10 x^{8} - 20 x^{6} + 25 x^{4} + 16 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{28}\cdot 5^{10}$ |
$2$ |
$19.26984968$ |
$50.92200462185694$ |
|
|
|
$C_2\times S_5$ (as 12T123) |
trivial |
$4$ |
$5$ |
$10217.5050004$ |
12.0.2621440000000000.13 |
$x^{12} + 8 x^{10} + 20 x^{8} + 60 x^{6} + 100 x^{4} + 88 x^{2} + 4$ |
$12$ |
[0,6] |
$2^{28}\cdot 5^{10}$ |
$2$ |
$19.26984968$ |
$38.14839994683767$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$5$ |
$856.916014818$ |
12.0.2621440000000000.19 |
$x^{12} - 2 x^{10} + 10 x^{8} - 8 x^{7} - 20 x^{6} + 56 x^{5} - 15 x^{4} - 40 x^{3} + 54 x^{2} - 40 x + 12$ |
$12$ |
[0,6] |
$2^{28}\cdot 5^{10}$ |
$2$ |
$19.26984968$ |
$42.82013114405259$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$5$ |
$2326.5119861$ |
12.0.2621440000000000.26 |
$x^{12} - 4 x^{11} + 12 x^{10} - 20 x^{9} + 25 x^{8} + 12 x^{7} - 28 x^{6} + 24 x^{5} + 60 x^{4} + 4 x^{2} + 24 x + 18$ |
$12$ |
[0,6] |
$2^{28}\cdot 5^{10}$ |
$2$ |
$19.26984968$ |
$42.82013114405259$ |
|
|
|
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$5$ |
$3870.2674472$ |
12.0.3722460239233024.1 |
$x^{12} - 4 x^{11} + 4 x^{10} + 23 x^{8} + 4 x^{7} + 36 x^{6} - 4 x^{5} + 23 x^{4} + 4 x^{2} + 4 x + 1$ |
$12$ |
[0,6] |
$2^{22}\cdot 31^{6}$ |
$2$ |
$19.841256535$ |
$46.817648399439314$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$5$ |
$1732.29824311$ |
12.0.4096000000000000.1 |
$x^{12} - 2 x^{11} + x^{10} + 10 x^{9} + 10 x^{8} - 58 x^{7} + 121 x^{6} - 58 x^{5} + 10 x^{4} + 10 x^{3} + x^{2} - 2 x + 1$ |
$12$ |
[0,6] |
$2^{24}\cdot 5^{12}$ |
$2$ |
$20.0$ |
$42.82013114405259$ |
|
|
|
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$5$ |
$1263.16676633$ |
12.0.4096000000000000.3 |
$x^{12} - 4 x^{11} + 4 x^{10} + 5 x^{8} + 30 x^{6} - 20 x^{5} - 5 x^{4} + 50 x^{2} + 20 x + 5$ |
$12$ |
[0,6] |
$2^{24}\cdot 5^{12}$ |
$2$ |
$20.0$ |
$32.07885276296079$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
$[2]$ |
$2$ |
$5$ |
$660.042073491$ |
12.0.4739148267126784.9 |
$x^{12} - 2 x^{11} - x^{10} + 8 x^{9} - 7 x^{8} - 14 x^{7} + 35 x^{6} + 4 x^{5} - 50 x^{4} - 4 x^{3} + 18 x^{2} + 28$ |
$12$ |
[0,6] |
$2^{24}\cdot 7^{10}$ |
$2$ |
$20.2445607392$ |
$38.763298370868725$ |
|
|
|
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$5$ |
$8558.97191325$ |
12.0.6189907940737024.1 |
$x^{12} + 6 x^{10} + 25 x^{8} + 20 x^{6} + 12 x^{4} + 4$ |
$12$ |
[0,6] |
$2^{30}\cdot 7^{8}$ |
$2$ |
$20.7001590559$ |
$31.90883292885454$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
$[2]$ |
$2$ |
$5$ |
$1940.3378647$ |
12.0.6400000000000000.1 |
$x^{12} - 2 x^{11} + 2 x^{10} - 10 x^{9} + 6 x^{7} + 38 x^{6} + 2 x^{5} - 10 x^{3} + 18 x^{2} - 6 x + 1$ |
$12$ |
[0,6] |
$2^{20}\cdot 5^{14}$ |
$2$ |
$20.7578163111$ |
$48.468937332853066$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
trivial |
$4$ |
$5$ |
$12297.4120774$ |
12.0.9934520342020096.3 |
$x^{12} - 4 x^{11} + 8 x^{10} - 4 x^{9} + x^{8} - 32 x^{7} + 148 x^{6} - 300 x^{5} + 388 x^{4} - 280 x^{3} + 88 x^{2} + 24 x + 52$ |
$12$ |
[0,6] |
$2^{26}\cdot 23^{6}$ |
$2$ |
$21.5325555$ |
$70.65263524866003$ |
|
|
|
$C_2\times S_5$ (as 12T123) |
trivial |
$4$ |
$5$ |
$25182.4122752$ |
12.0.10485760000000000.6 |
$x^{12} - 4 x^{11} + 14 x^{10} - 20 x^{9} + 25 x^{8} + 25 x^{4} + 20 x^{3} + 14 x^{2} + 4 x + 1$ |
$12$ |
[0,6] |
$2^{30}\cdot 5^{10}$ |
$2$ |
$21.6296749424$ |
$42.82013114405259$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
$[2]$ |
$4$ |
$5$ |
$7051.11613494$ |
12.4.10485760000000000.10 |
$x^{12} - 8 x^{10} + 25 x^{8} + 40 x^{6} - 40 x^{4} - 32 x^{2} + 16$ |
$12$ |
[4,4] |
$2^{30}\cdot 5^{10}$ |
$2$ |
$21.6296749424$ |
$50.92200462185694$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$7$ |
$4621.30258585$ |
12.0.10485760000000000.16 |
$x^{12} - 4 x^{11} + 8 x^{10} + 10 x^{8} - 16 x^{7} - 16 x^{6} - 8 x^{5} + 25 x^{4} + 20 x^{3} + 8 x^{2} + 8 x + 4$ |
$12$ |
[0,6] |
$2^{30}\cdot 5^{10}$ |
$2$ |
$21.6296749424$ |
$42.82013114405259$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
$[2]$ |
$4$ |
$5$ |
$5787.28060757$ |
12.0.10485760000000000.17 |
$x^{12} - 2 x^{10} + 10 x^{8} - 4 x^{7} - 20 x^{6} + 28 x^{5} - 15 x^{4} - 20 x^{3} + 42 x^{2} - 20 x + 6$ |
$12$ |
[0,6] |
$2^{30}\cdot 5^{10}$ |
$2$ |
$21.6296749424$ |
$42.82013114405259$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
$[2]$ |
$2$ |
$5$ |
$2846.25561199$ |
12.0.16384000000000000.1 |
$x^{12} - 6 x^{10} + 15 x^{8} + 40 x^{6} + 35 x^{4} + 14 x^{2} + 1$ |
$12$ |
[0,6] |
$2^{26}\cdot 5^{12}$ |
$2$ |
$22.4492409662$ |
$36.38251046259711$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
$[4]$ |
$4$ |
$5$ |
$2566.7768848$ |
12.0.16384000000000000.2 |
$x^{12} - 6 x^{11} + 19 x^{10} - 30 x^{9} + 20 x^{8} + 6 x^{7} + 29 x^{6} - 6 x^{5} + 20 x^{4} + 30 x^{3} + 19 x^{2} + 6 x + 1$ |
$12$ |
[0,6] |
$2^{26}\cdot 5^{12}$ |
$2$ |
$22.4492409662$ |
$42.82013114405259$ |
|
|
|
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$5$ |
$2841.38831837$ |
12.4.16384000000000000.2 |
$x^{12} - 2 x^{11} - 4 x^{10} - 35 x^{8} + 26 x^{7} + 48 x^{6} - 44 x^{5} + 25 x^{4} - 30 x^{3} - 6 x^{2} + 12 x + 4$ |
$12$ |
[4,4] |
$2^{26}\cdot 5^{12}$ |
$2$ |
$22.4492409662$ |
$50.92200462185694$ |
|
|
|
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$7$ |
$5830.85008831$ |
12.0.16384000000000000.3 |
$x^{12} - 4 x^{11} + 6 x^{10} - 20 x^{8} + 24 x^{7} + 34 x^{6} - 96 x^{5} + 90 x^{4} - 60 x^{3} + 32 x^{2} - 8 x + 2$ |
$12$ |
[0,6] |
$2^{26}\cdot 5^{12}$ |
$2$ |
$22.4492409662$ |
$36.38251046259711$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
$[4]$ |
$2$ |
$5$ |
$574.260364063$ |
12.4.16384000000000000.4 |
$x^{12} + 10 x^{8} - 100 x^{6} + 185 x^{4} - 180 x^{2} + 100$ |
$12$ |
[4,4] |
$2^{26}\cdot 5^{12}$ |
$2$ |
$22.4492409662$ |
$42.82013114405259$ |
|
|
|
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$7$ |
$6835.69933473$ |
12.0.18956593068507136.1 |
$x^{12} - 4 x^{11} + 10 x^{10} - 12 x^{9} + 18 x^{8} + 12 x^{7} + 14 x^{6} + 52 x^{5} + 9 x^{4} + 16 x^{3} + 20 x^{2} - 16 x + 8$ |
$12$ |
[0,6] |
$2^{26}\cdot 7^{10}$ |
$2$ |
$22.7237511144$ |
$38.763298370868725$ |
|
|
|
$C_2\times S_5$ (as 12T123) |
$[2]$ |
$2$ |
$5$ |
$5161.13442578$ |
12.0.25600000000000000.1 |
$x^{12} - 2 x^{11} + 9 x^{10} + 10 x^{9} - 10 x^{8} - 2 x^{7} + 9 x^{6} + 2 x^{5} - 10 x^{4} - 10 x^{3} + 9 x^{2} + 2 x + 1$ |
$12$ |
[0,6] |
$2^{22}\cdot 5^{14}$ |
$2$ |
$23.299861015$ |
$43.18091413946323$ |
|
|
|
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$5$ |
$8678.54836379$ |
12.4.25600000000000000.1 |
$x^{12} - 2 x^{11} + 11 x^{10} - 10 x^{9} + 30 x^{8} + 22 x^{7} - 49 x^{6} + 162 x^{5} - 160 x^{4} - 170 x^{3} + 121 x^{2} - 22 x + 1$ |
$12$ |
[4,4] |
$2^{22}\cdot 5^{14}$ |
$2$ |
$23.299861015$ |
$28.876817690785337$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
$[2]$ |
$2$ |
$7$ |
$3085.1300434$ |
12.0.25600000000000000.4 |
$x^{12} + 5 x^{10} + 45 x^{8} + 180 x^{6} + 200 x^{4} + 20 x^{2} + 100$ |
$12$ |
[0,6] |
$2^{22}\cdot 5^{14}$ |
$2$ |
$23.299861015$ |
$54.512172900649155$ |
|
|
|
$C_2\times S_5$ (as 12T123) |
$[2]$ |
$2$ |
$5$ |
$2450.56983304$ |
12.4.25600000000000000.4 |
$x^{12} - 6 x^{11} + 9 x^{10} + 10 x^{9} - 40 x^{8} + 34 x^{7} + x^{6} - 14 x^{5} + 20 x^{4} - 30 x^{3} + 69 x^{2} - 54 x + 31$ |
$12$ |
[4,4] |
$2^{22}\cdot 5^{14}$ |
$2$ |
$23.299861015$ |
$28.876817690785337$ |
|
|
? |
$C_2\times S_5$ (as 12T123) |
$[2]$ |
$2$ |
$7$ |
$3345.6044979$ |
12.0.25999348907114496.24 |
$x^{12} + 15 x^{10} - 4 x^{9} + 87 x^{8} - 24 x^{7} + 226 x^{6} - 48 x^{5} + 267 x^{4} - 72 x^{3} + 135 x^{2} - 108 x + 21$ |
$12$ |
[0,6] |
$2^{26}\cdot 3^{18}$ |
$2$ |
$23.3299355669$ |
$41.569219381653056$ |
|
|
|
$C_2\times S_5$ (as 12T123) |
$[3]$ |
$6$ |
$5$ |
$6866.21258991$ |
12.0.39738081368080384.1 |
$x^{12} - 2 x^{11} - x^{10} + 6 x^{9} + 3 x^{8} - 28 x^{7} + 16 x^{6} + 60 x^{5} - 23 x^{4} - 110 x^{3} + 23 x^{2} + 66 x + 27$ |
$12$ |
[0,6] |
$2^{28}\cdot 23^{6}$ |
$2$ |
$24.1694763519$ |
$70.65263524866003$ |
|
|
|
$C_2\times S_5$ (as 12T123) |
trivial |
$2$ |
$5$ |
$16093.7559559$ |