| 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 |
| 16.0.21407557176262656.1 |
$x^{16} - 6 x^{15} + 18 x^{14} - 36 x^{13} + 67 x^{12} - 138 x^{11} + 270 x^{10} - 420 x^{9} + 489 x^{8} - 420 x^{7} + 270 x^{6} - 138 x^{5} + 67 x^{4} - 36 x^{3} + 18 x^{2} - 6 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{12}\cdot 7^{4}$ |
$3$ |
$10.4872215901$ |
$17.058268835716344$ |
|
|
? |
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$12$ |
$7$ |
$146.359425857$ |
| 16.0.42238838692642816.1 |
$x^{16} + 2 x^{12} - 5 x^{8} + 2 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{44}\cdot 7^{4}$ |
$2$ |
$10.9422591989$ |
$17.798422345016238$ |
|
|
? |
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$8$ |
$7$ |
$152.597792892$ |
| 16.0.43980465111040000.1 |
$x^{16} - 4 x^{15} + 12 x^{13} + 14 x^{12} - 52 x^{11} - 28 x^{10} + 108 x^{9} + 28 x^{8} - 108 x^{7} - 28 x^{6} + 52 x^{5} + 14 x^{4} - 12 x^{3} + 4 x + 1$ |
$16$ |
[0,8] |
$2^{46}\cdot 5^{4}$ |
$2$ |
$10.969927027$ |
$16.403867009982392$ |
|
|
? |
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$8$ |
$7$ |
$233.204865727$ |
| 16.0.87500953582971201.1 |
$x^{16} - 9 x^{13} + 7 x^{12} + 21 x^{10} - 24 x^{9} + 9 x^{8} - 27 x^{7} + 24 x^{6} - 9 x^{5} + 16 x^{4} - 9 x^{3} + 3 x^{2} - 3 x + 1$ |
$16$ |
[0,8] |
$3^{12}\cdot 7^{8}\cdot 13^{4}$ |
$3$ |
$11.4518539096$ |
$21.745111415357325$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$6$ |
$7$ |
$168.672908686$ |
| 16.0.95951257600000000.1 |
$x^{16} - 4 x^{15} + 8 x^{14} - 14 x^{13} + 15 x^{12} - 4 x^{11} - 6 x^{10} + 16 x^{9} - 7 x^{8} - 16 x^{7} - 6 x^{6} + 4 x^{5} + 15 x^{4} + 14 x^{3} + 8 x^{2} + 4 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 5^{8}\cdot 11^{4}$ |
$3$ |
$11.5180289813$ |
$20.97617696340303$ |
|
|
? |
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$4$ |
$7$ |
$106.417237385$ |
| 16.0.117033789351264256.2 |
$x^{16} + 5 x^{12} + 4 x^{8} + 5 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 17^{8}$ |
$2$ |
$11.6619037897$ |
$16.492422502470642$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$4$ |
$7$ |
$195.804052909$ |
| 16.0.130540626662916096.2 |
$x^{16} - 2 x^{14} + 13 x^{12} + 22 x^{10} + 76 x^{8} + 22 x^{6} + 13 x^{4} - 2 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{12}\cdot 11^{4}$ |
$3$ |
$11.7417845116$ |
$21.383671649138826$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$12$ |
$7$ |
$571.004582784$ |
| 16.0.200779471797682176.1 |
$x^{16} - 9 x^{14} + 37 x^{12} - 90 x^{10} + 135 x^{8} - 120 x^{6} + 58 x^{4} - 12 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{12}\cdot 7^{8}$ |
$3$ |
$12.062017569$ |
$17.058268835716344$ |
|
|
? |
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$6$ |
$7$ |
$249.164980604$ |
| 16.0.232218265089212416.1 |
$x^{16} - 3 x^{12} + 20 x^{8} - 3 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 7^{12}$ |
$2$ |
$12.1721844145$ |
$17.214068282635402$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$4$ |
$7$ |
$285.906781246$ |
| 16.0.350749278894882816.3 |
$x^{16} - x^{14} + 2 x^{12} + 3 x^{10} - x^{8} + 3 x^{6} + 2 x^{4} - x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 13^{8}$ |
$3$ |
$12.4899959968$ |
$17.663521732655695$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$6$ |
$7$ |
$392.232344738$ |
| 16.0.429496729600000000.4 |
$x^{16} - 2 x^{14} - 4 x^{12} + 8 x^{10} + 19 x^{8} + 8 x^{6} - 4 x^{4} - 2 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{40}\cdot 5^{8}$ |
$2$ |
$12.6491106407$ |
$16.403867009982392$ |
|
|
? |
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$4$ |
$7$ |
$285.239264535$ |
| 16.0.584325558976905216.2 |
$x^{16} - 6 x^{14} + 16 x^{12} - 24 x^{10} + 27 x^{8} - 24 x^{6} + 16 x^{4} - 6 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{40}\cdot 3^{12}$ |
$2$ |
$12.8948391819$ |
$16.722537501928894$ |
|
|
? |
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$12$ |
$7$ |
$1074.316414$ |
| 16.0.675821419082285056.1 |
$x^{16} - 4 x^{14} + 8 x^{12} - 8 x^{10} + 7 x^{8} - 8 x^{6} + 8 x^{4} - 4 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{48}\cdot 7^{4}$ |
$2$ |
$13.0126124936$ |
$21.166010488516726$ |
|
|
? |
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$8$ |
$7$ |
$617.518527162$ |
| 16.0.104...361.1 |
$x^{16} - x^{15} + 8 x^{14} + 4 x^{13} + 8 x^{12} + 25 x^{11} + 39 x^{10} + 88 x^{8} + 39 x^{6} + 25 x^{5} + 8 x^{4} + 4 x^{3} + 8 x^{2} - x + 1$ |
$16$ |
[0,8] |
$3^{12}\cdot 7^{4}\cdot 13^{8}$ |
$3$ |
$13.3686368828$ |
$21.745111415357325$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$6$ |
$7$ |
$616.818979676$ |
| 16.0.110...616.1 |
$x^{16} - 2 x^{15} + 2 x^{14} - 2 x^{13} + 9 x^{12} - 10 x^{11} + 4 x^{10} + 8 x^{9} + 18 x^{8} - 32 x^{7} + 26 x^{6} + 16 x^{5} + 4 x^{4} - 6 x^{3} + 18 x^{2} + 18 x + 9$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{4}\cdot 13^{8}$ |
$3$ |
$13.4213741468$ |
$17.663521732655695$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$4$ |
$7$ |
$533.004017987$ |
| 16.0.145...704.1 |
$x^{16} - 12 x^{12} + 166 x^{8} - 12 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{54}\cdot 3^{4}$ |
$2$ |
$13.6538946948$ |
$17.969535983364356$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$8$ |
$7$ |
$2157.16000676$ |
| 16.0.187...096.1 |
$x^{16} + 10 x^{14} + 26 x^{12} + 32 x^{10} + 31 x^{8} + 32 x^{6} + 26 x^{4} + 10 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{28}\cdot 17^{8}$ |
$2$ |
$13.8684189612$ |
$16.492422502470642$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$2$ |
$7$ |
$451.720685657$ |
| 16.0.187...096.2 |
$x^{16} - 2 x^{14} - 4 x^{12} + 12 x^{10} + 16 x^{8} + 38 x^{6} + 49 x^{4} - 20 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{28}\cdot 17^{8}$ |
$2$ |
$13.8684189612$ |
$16.492422502470642$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$2$ |
$7$ |
$1174.06798617$ |
| 16.0.371...656.1 |
$x^{16} + 2 x^{14} + 2 x^{12} - 32 x^{10} + 55 x^{8} - 32 x^{6} + 2 x^{4} + 2 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{28}\cdot 7^{12}$ |
$2$ |
$14.4752483108$ |
$17.214068282635402$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$2$ |
$7$ |
$706.339462029$ |
| 16.0.371...656.3 |
$x^{16} + 6 x^{14} + 12 x^{12} + 12 x^{10} + 24 x^{8} + 62 x^{6} + 73 x^{4} + 20 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{28}\cdot 7^{12}$ |
$2$ |
$14.4752483108$ |
$17.214068282635402$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$2$ |
$7$ |
$1687.69818362$ |
| 16.0.459...625.1 |
$x^{16} - 5 x^{15} + 17 x^{14} - 47 x^{13} + 112 x^{12} - 223 x^{11} + 374 x^{10} - 511 x^{9} + 571 x^{8} - 540 x^{7} + 459 x^{6} - 360 x^{5} + 261 x^{4} - 189 x^{3} + 162 x^{2} - 162 x + 81$ |
$16$ |
[0,8] |
$3^{12}\cdot 5^{4}\cdot 7^{12}$ |
$3$ |
$14.6692183188$ |
$21.935597734512804$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$6$ |
$7$ |
$1516.64282122$ |
| 16.0.548...000.2 |
$x^{16} - x^{14} + 14 x^{12} + x^{10} + 29 x^{8} - x^{6} + 14 x^{4} + x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{8}\cdot 11^{8}$ |
$3$ |
$14.8323969742$ |
$20.97617696340303$ |
|
|
? |
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$2$ |
$7$ |
$407.37826112$ |
| 16.0.633...576.3 |
$x^{16} - 6 x^{14} + 27 x^{12} - 74 x^{10} + 108 x^{8} - 74 x^{6} + 27 x^{4} - 6 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{40}\cdot 7^{8}$ |
$2$ |
$14.9666295471$ |
$17.798422345016238$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$2$ |
$7$ |
$747.271213234$ |
| 16.0.687...000.13 |
$x^{16} - 8 x^{14} + 38 x^{12} - 116 x^{10} + 203 x^{8} - 188 x^{6} + 106 x^{4} - 60 x^{2} + 25$ |
$16$ |
[0,8] |
$2^{44}\cdot 5^{8}$ |
$2$ |
$15.0424123723$ |
$16.403867009982392$ |
|
|
? |
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$4$ |
$7$ |
$2187.081297$ |
| 16.0.934...456.6 |
$x^{16} - 8 x^{15} + 36 x^{14} - 112 x^{13} + 264 x^{12} - 456 x^{11} + 532 x^{10} - 280 x^{9} - 222 x^{8} + 568 x^{7} - 380 x^{6} - 48 x^{5} + 264 x^{4} - 104 x^{3} - 12 x^{2} + 8 x + 1$ |
$16$ |
[0,8] |
$2^{44}\cdot 3^{12}$ |
$2$ |
$15.3346345019$ |
$16.722537501928894$ |
|
|
? |
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$12$ |
$7$ |
$6164.45078274$ |
| 16.0.188...696.1 |
$x^{16} - 8 x^{15} + 22 x^{14} - 14 x^{13} - 38 x^{12} + 46 x^{11} + 42 x^{10} - 12 x^{9} - 165 x^{8} + 94 x^{7} + 190 x^{6} - 236 x^{5} + 254 x^{4} - 346 x^{3} + 248 x^{2} - 78 x + 9$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{4}\cdot 7^{12}$ |
$3$ |
$16.0194955887$ |
$21.08284184494233$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$4$ |
$7$ |
$3694.16025181$ |
| 16.0.274...000.1 |
$x^{16} - 4 x^{14} - 24 x^{13} + 72 x^{12} - 24 x^{11} + 40 x^{10} - 280 x^{9} + 240 x^{8} + 144 x^{7} - 88 x^{6} - 192 x^{5} + 80 x^{4} + 48 x^{3} - 16 x + 4$ |
$16$ |
[0,8] |
$2^{46}\cdot 5^{8}$ |
$2$ |
$16.40386701$ |
$16.403867009982392$ |
|
|
? |
$C_2^2\wr C_2$ (as 16T39) |
$[2]$ |
$4$ |
$7$ |
$2548.59228871$ |
| 16.0.274...000.2 |
$x^{16} + 8 x^{14} - 24 x^{13} - 4 x^{12} - 48 x^{11} + 88 x^{10} + 104 x^{9} + 110 x^{8} - 80 x^{7} - 168 x^{6} - 104 x^{5} + 132 x^{4} + 64 x^{3} - 24 x^{2} - 40 x + 25$ |
$16$ |
[0,8] |
$2^{46}\cdot 5^{8}$ |
$2$ |
$16.40386701$ |
$16.403867009982392$ |
|
|
? |
$C_2^2\wr C_2$ (as 16T39) |
$[2]$ |
$4$ |
$7$ |
$3495.44381092$ |
| 16.0.274...000.3 |
$x^{16} - 4 x^{15} - 8 x^{14} + 68 x^{13} - 94 x^{12} - 196 x^{11} + 856 x^{10} - 1156 x^{9} + 296 x^{8} + 932 x^{7} - 844 x^{6} - 140 x^{5} + 246 x^{4} + 244 x^{3} - 180 x^{2} - 156 x + 169$ |
$16$ |
[0,8] |
$2^{46}\cdot 5^{8}$ |
$2$ |
$16.40386701$ |
$16.403867009982392$ |
|
|
? |
$C_2^2\wr C_2$ (as 16T39) |
$[2]$ |
$8$ |
$7$ |
$4486.97978027$ |
| 16.0.295...256.1 |
$x^{16} - 4 x^{14} + 2 x^{12} - 48 x^{10} + 179 x^{8} - 48 x^{6} + 2 x^{4} - 4 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{52}\cdot 3^{8}$ |
$2$ |
$16.4781371513$ |
$17.969535983364356$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$6$ |
$7$ |
$15649.0694485$ |
| 16.0.295...256.3 |
$x^{16} + 4 x^{14} + 2 x^{12} + 48 x^{10} + 179 x^{8} + 48 x^{6} + 2 x^{4} + 4 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{52}\cdot 3^{8}$ |
$2$ |
$16.4781371513$ |
$17.969535983364356$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$6$ |
$7$ |
$5971.26324754$ |
| 16.0.299...536.1 |
$x^{16} + 9 x^{12} - 16 x^{8} + 9 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 17^{8}$ |
$2$ |
$16.4924225025$ |
$16.492422502470642$ |
|
|
? |
$C_2^2\wr C_2$ (as 16T39) |
$[2]$ |
$4$ |
$7$ |
$5651.53240769$ |
| 16.8.299...536.1 |
$x^{16} - 10 x^{14} + 26 x^{12} - 32 x^{10} + 31 x^{8} - 32 x^{6} + 26 x^{4} - 10 x^{2} + 1$ |
$16$ |
[8,4] |
$2^{32}\cdot 17^{8}$ |
$2$ |
$16.4924225025$ |
$16.492422502470642$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$2$ |
$11$ |
$6607.13613637$ |
| 16.0.299...536.5 |
$x^{16} + 2 x^{14} - 4 x^{12} - 12 x^{10} + 16 x^{8} - 38 x^{6} + 49 x^{4} + 20 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{32}\cdot 17^{8}$ |
$2$ |
$16.4924225025$ |
$16.492422502470642$ |
|
|
? |
$C_2^2\wr C_2$ (as 16T39) |
$[2]$ |
$2$ |
$7$ |
$2449.72830713$ |
| 16.0.373...824.1 |
$x^{16} - 4 x^{15} + 12 x^{14} - 12 x^{13} - 6 x^{12} + 36 x^{11} - 16 x^{10} - 140 x^{9} + 264 x^{8} - 140 x^{7} - 16 x^{6} + 36 x^{5} - 6 x^{4} - 12 x^{3} + 12 x^{2} - 4 x + 1$ |
$16$ |
[0,8] |
$2^{46}\cdot 3^{12}$ |
$2$ |
$16.7225375019$ |
$16.722537501928894$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
$[2]$ |
$2$ |
$7$ |
$3785.1396813$ |
| 16.8.373...824.1 |
$x^{16} - 12 x^{14} + 52 x^{12} - 144 x^{10} + 300 x^{8} - 408 x^{6} + 304 x^{4} - 96 x^{2} + 4$ |
$16$ |
[8,4] |
$2^{46}\cdot 3^{12}$ |
$2$ |
$16.7225375019$ |
$16.722537501928894$ |
|
|
? |
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$2$ |
$11$ |
$9997.41654663$ |
| 16.0.373...824.2 |
$x^{16} + 12 x^{14} + 52 x^{12} + 144 x^{10} + 300 x^{8} + 408 x^{6} + 304 x^{4} + 96 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{46}\cdot 3^{12}$ |
$2$ |
$16.7225375019$ |
$16.722537501928894$ |
|
|
? |
$C_2^2\wr C_2$ (as 16T39) |
$[2]$ |
$2$ |
$7$ |
$1352.14005859$ |
| 16.0.373...824.3 |
$x^{16} - 4 x^{15} + 8 x^{14} - 4 x^{13} - 2 x^{12} - 20 x^{11} + 32 x^{10} + 52 x^{9} - 92 x^{8} - 84 x^{7} + 132 x^{6} + 132 x^{5} - 30 x^{4} - 36 x^{3} + 36 x^{2} + 36 x + 9$ |
$16$ |
[0,8] |
$2^{46}\cdot 3^{12}$ |
$2$ |
$16.7225375019$ |
$16.722537501928894$ |
|
|
? |
$C_2^2\wr C_2$ (as 16T39) |
$[2]$ |
$2$ |
$7$ |
$1749.62384927$ |
| 16.0.513...056.2 |
$x^{16} - 2 x^{15} + 2 x^{14} - 4 x^{13} - 25 x^{12} - 34 x^{11} + 126 x^{10} + 408 x^{9} + 577 x^{8} + 408 x^{7} + 126 x^{6} - 34 x^{5} - 25 x^{4} - 4 x^{3} + 2 x^{2} - 2 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{12}\cdot 7^{8}$ |
$3$ |
$17.0582688357$ |
$17.058268835716344$ |
|
|
? |
$C_2^2\wr C_2$ (as 16T39) |
$[2]$ |
$12$ |
$7$ |
$6495.33719206$ |
| 16.0.513...056.4 |
$x^{16} - 8 x^{15} + 40 x^{14} - 140 x^{13} + 406 x^{12} - 980 x^{11} + 1972 x^{10} - 3260 x^{9} + 4411 x^{8} - 4860 x^{7} + 4356 x^{6} - 3156 x^{5} + 1866 x^{4} - 900 x^{3} + 324 x^{2} - 72 x + 9$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{12}\cdot 7^{8}$ |
$3$ |
$17.0582688357$ |
$17.058268835716344$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
$[2]$ |
$6$ |
$7$ |
$5400.30534286$ |
| 16.0.513...056.7 |
$x^{16} - 8 x^{15} + 44 x^{14} - 168 x^{13} + 502 x^{12} - 1192 x^{11} + 2302 x^{10} - 3634 x^{9} + 4876 x^{8} - 5664 x^{7} + 5834 x^{6} - 5216 x^{5} + 3955 x^{4} - 2394 x^{3} + 1128 x^{2} - 366 x + 93$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{12}\cdot 7^{8}$ |
$3$ |
$17.0582688357$ |
$17.058268835716344$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
$[2]$ |
$6$ |
$7$ |
$8148.71784457$ |
| 16.0.513...056.8 |
$x^{16} - 4 x^{15} + 16 x^{14} - 40 x^{13} + 75 x^{12} - 118 x^{11} + 166 x^{10} - 96 x^{9} - 32 x^{8} + 378 x^{7} - 850 x^{6} + 888 x^{5} - 82 x^{4} - 338 x^{3} + 974 x^{2} - 630 x + 133$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{12}\cdot 7^{8}$ |
$3$ |
$17.0582688357$ |
$17.058268835716344$ |
|
|
? |
$C_2^2\wr C_2$ (as 16T39) |
$[2]$ |
$6$ |
$7$ |
$4124.94709562$ |
| 16.0.594...496.1 |
$x^{16} - 2 x^{14} + 2 x^{12} + 32 x^{10} + 55 x^{8} + 32 x^{6} + 2 x^{4} - 2 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 7^{12}$ |
$2$ |
$17.2140682826$ |
$17.214068282635402$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
$[2]$ |
$2$ |
$7$ |
$1747.60443306$ |
| 16.0.594...496.2 |
$x^{16} - 6 x^{14} + 12 x^{12} - 12 x^{10} + 24 x^{8} - 62 x^{6} + 73 x^{4} - 20 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{32}\cdot 7^{12}$ |
$2$ |
$17.2140682826$ |
$17.214068282635402$ |
|
|
? |
$C_2^2\wr C_2$ (as 16T39) |
$[2]$ |
$2$ |
$7$ |
$4489.36686801$ |
| 16.0.594...496.5 |
$x^{16} - 5 x^{12} + 19 x^{8} + 25 x^{4} + 256$ |
$16$ |
[0,8] |
$2^{32}\cdot 7^{12}$ |
$2$ |
$17.2140682826$ |
$17.214068282635402$ |
|
|
? |
$C_2^2\wr C_2$ (as 16T39) |
$[2]$ |
$4$ |
$7$ |
$6840.26811228$ |
| 16.8.897...896.1 |
$x^{16} - 4 x^{15} + 30 x^{13} - 64 x^{12} - 76 x^{11} + 240 x^{10} + 142 x^{9} - 306 x^{8} - 190 x^{7} + 144 x^{6} + 70 x^{5} - 43 x^{4} + 18 x^{3} + 36 x^{2} + 10 x + 1$ |
$16$ |
[8,4] |
$2^{24}\cdot 3^{8}\cdot 13^{8}$ |
$3$ |
$17.6635217327$ |
$17.663521732655695$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$2$ |
$11$ |
$10423.5987267$ |
| 16.0.897...896.2 |
$x^{16} - 6 x^{15} + 18 x^{14} - 36 x^{13} + 59 x^{12} - 114 x^{11} + 270 x^{10} - 492 x^{9} + 609 x^{8} - 492 x^{7} + 270 x^{6} - 114 x^{5} + 59 x^{4} - 36 x^{3} + 18 x^{2} - 6 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{8}\cdot 13^{8}$ |
$3$ |
$17.6635217327$ |
$17.663521732655695$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
$[2]$ |
$4$ |
$7$ |
$3239.8094211$ |
| 16.0.897...896.3 |
$x^{16} - 4 x^{15} - 8 x^{14} + 52 x^{13} - 15 x^{12} - 202 x^{11} + 228 x^{10} + 180 x^{9} - 320 x^{8} - 50 x^{7} + 170 x^{6} + 6 x^{5} - 11 x^{4} - 48 x^{3} + 6 x^{2} + 18 x + 9$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{8}\cdot 13^{8}$ |
$3$ |
$17.6635217327$ |
$17.663521732655695$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
$[2]$ |
$6$ |
$7$ |
$17610.2910647$ |
| 16.0.897...896.9 |
$x^{16} - 4 x^{15} + 8 x^{14} - 26 x^{13} + 82 x^{12} - 176 x^{11} + 352 x^{10} - 652 x^{9} + 936 x^{8} - 1158 x^{7} + 1438 x^{6} - 1758 x^{5} + 2199 x^{4} - 2736 x^{3} + 2826 x^{2} - 1944 x + 621$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{8}\cdot 13^{8}$ |
$3$ |
$17.6635217327$ |
$17.663521732655695$ |
|
|
|
$C_2^2\wr C_2$ (as 16T39) |
$[2]$ |
$2$ |
$7$ |
$4396.32686314$ |
| 16.8.101...216.1 |
$x^{16} - 12 x^{14} + 32 x^{12} - 68 x^{8} + 128 x^{4} - 96 x^{2} + 16$ |
$16$ |
[8,4] |
$2^{44}\cdot 7^{8}$ |
$2$ |
$17.798422345$ |
$17.798422345016238$ |
|
|
? |
$C_2^2\wr C_2$ (as 16T39) |
trivial |
$2$ |
$11$ |
$10164.1804304$ |
