| 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 |
| 16.0.12370583534765625.1 |
$x^{16} - 7 x^{15} + 24 x^{14} - 50 x^{13} + 65 x^{12} - 40 x^{11} - 28 x^{10} + 94 x^{9} - 94 x^{8} + 16 x^{7} + 82 x^{6} - 128 x^{5} + 108 x^{4} - 59 x^{3} + 22 x^{2} - 6 x + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{8}\cdot 13^{6}$ |
$3$ |
$10.1338480169$ |
$13.96424004376894$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$6$ |
$7$ |
$50.440336623$ |
| 16.0.36877862166921216.1 |
$x^{16} - 4 x^{15} + 8 x^{14} - 18 x^{13} + 44 x^{12} - 80 x^{11} + 109 x^{10} - 144 x^{9} + 211 x^{8} - 282 x^{7} + 301 x^{6} - 250 x^{5} + 164 x^{4} - 84 x^{3} + 32 x^{2} - 8 x + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{14}\cdot 7^{6}$ |
$3$ |
$10.8498281271$ |
$13.837579007333664$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$12$ |
$7$ |
$204.840607664$ |
| 16.4.232292068597265625.1 |
$x^{16} - x^{15} + 5 x^{14} - x^{13} + x^{11} - 19 x^{10} - 13 x^{9} - 20 x^{8} - 11 x^{7} + 17 x^{6} + 35 x^{5} + 46 x^{4} + 36 x^{3} + 22 x^{2} + 4 x - 1$ |
$16$ |
[4,6] |
$3^{6}\cdot 5^{8}\cdot 13^{8}$ |
$3$ |
$12.1724261633$ |
$13.96424004376894$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$9$ |
$167.322044256$ |
| 16.0.440301256704000000.1 |
$x^{16} - 8 x^{15} + 32 x^{14} - 84 x^{13} + 168 x^{12} - 276 x^{11} + 370 x^{10} - 384 x^{9} + 295 x^{8} - 164 x^{7} + 78 x^{6} - 60 x^{5} + 62 x^{4} - 40 x^{3} + 14 x^{2} - 4 x + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{8}\cdot 5^{6}$ |
$3$ |
$12.6687676273$ |
$15.491933384829668$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$12$ |
$7$ |
$925.520714294$ |
| 16.0.531312517142544384.1 |
$x^{16} - 4 x^{15} + 4 x^{14} - 2 x^{13} + 16 x^{12} - 38 x^{11} + 67 x^{10} - 168 x^{9} + 338 x^{8} - 474 x^{7} + 495 x^{6} - 388 x^{5} + 231 x^{4} - 106 x^{3} + 36 x^{2} - 8 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{8}\cdot 13^{6}$ |
$3$ |
$12.8184164782$ |
$17.663521732655695$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$6$ |
$7$ |
$535.350262433$ |
| 16.0.555307587640295424.1 |
$x^{16} - 4 x^{15} - x^{14} + 24 x^{13} - 22 x^{12} - 50 x^{11} + 85 x^{10} + 24 x^{9} - 119 x^{8} + 66 x^{7} + 61 x^{6} - 100 x^{5} + 20 x^{4} + 42 x^{3} - 37 x^{2} - 2 x + 13$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{14}\cdot 11^{6}$ |
$3$ |
$12.8538536387$ |
$17.34632328529682$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$12$ |
$7$ |
$919.831986506$ |
| 16.0.590315622400000000.1 |
$x^{16} - 2 x^{15} + 3 x^{14} - 7 x^{13} + 12 x^{12} - 11 x^{11} + 14 x^{10} - 9 x^{9} + 5 x^{8} - 3 x^{7} + x^{6} - 8 x^{5} + 27 x^{4} - 14 x^{3} + 2 x^{2} - x + 1$ |
$16$ |
[0,8] |
$2^{18}\cdot 5^{8}\cdot 7^{8}$ |
$3$ |
$12.9030615011$ |
$16.73320053068151$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$7$ |
$200.438586587$ |
| 16.4.771024486400000000.1 |
$x^{16} - 2 x^{15} - x^{14} - 6 x^{11} + 24 x^{10} + 20 x^{9} - 24 x^{8} - 38 x^{7} + 5 x^{6} + 20 x^{5} - 18 x^{4} + 6 x^{3} - 4 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{24}\cdot 5^{8}\cdot 7^{6}$ |
$3$ |
$13.1202394348$ |
$16.73320053068151$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$9$ |
$321.249071894$ |
| 16.0.109...000.1 |
$x^{16} - 12 x^{12} + 46 x^{8} + 68 x^{4} + 25$ |
$16$ |
[0,8] |
$2^{46}\cdot 5^{6}$ |
$2$ |
$13.414515424$ |
$16.403867009982392$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$8$ |
$7$ |
$1356.41090602$ |
| 16.0.152...625.1 |
$x^{16} - x^{15} + 3 x^{14} + 2 x^{13} - 6 x^{12} + 24 x^{11} - 32 x^{10} + 40 x^{9} - 55 x^{7} + 163 x^{6} - 233 x^{5} + 292 x^{4} - 262 x^{3} + 194 x^{2} - 100 x + 31$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{8}\cdot 29^{6}$ |
$3$ |
$13.691306054$ |
$20.85665361461421$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$6$ |
$7$ |
$688.925584956$ |
| 16.4.180...584.1 |
$x^{16} - 6 x^{15} + 16 x^{14} - 18 x^{13} + 4 x^{12} + 6 x^{11} - 5 x^{10} + 24 x^{9} - 47 x^{8} + 24 x^{7} - 5 x^{6} + 6 x^{5} + 4 x^{4} - 18 x^{3} + 16 x^{2} - 6 x + 1$ |
$16$ |
[4,6] |
$2^{16}\cdot 3^{14}\cdot 7^{8}$ |
$3$ |
$13.8375790073$ |
$13.837579007333664$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$9$ |
$888.584915548$ |
| 16.0.419...144.1 |
$x^{16} - 3 x^{15} + 4 x^{14} + 6 x^{13} - 29 x^{12} + 60 x^{11} - 50 x^{10} - 24 x^{9} + 196 x^{8} - 366 x^{7} + 496 x^{6} - 468 x^{5} + 349 x^{4} - 189 x^{3} + 64 x^{2} - 12 x + 1$ |
$16$ |
[0,8] |
$2^{12}\cdot 3^{14}\cdot 11^{8}$ |
$3$ |
$14.5864610684$ |
$17.34632328529682$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$6$ |
$7$ |
$2673.79224339$ |
| 16.4.687...000.6 |
$x^{16} - 6 x^{12} - 33 x^{8} + 6 x^{4} + 1$ |
$16$ |
[4,6] |
$2^{44}\cdot 5^{8}$ |
$2$ |
$15.0424123723$ |
$16.403867009982392$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$9$ |
$1186.93813243$ |
| 16.0.704...000.1 |
$x^{16} - 8 x^{14} + 22 x^{12} - 12 x^{10} - 41 x^{8} + 68 x^{6} + 18 x^{4} - 60 x^{2} + 25$ |
$16$ |
[0,8] |
$2^{36}\cdot 3^{8}\cdot 5^{6}$ |
$3$ |
$15.0657886007$ |
$18.42311740638763$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$12$ |
$7$ |
$3880.81688742$ |
| 16.0.944...296.2 |
$x^{16} - 2 x^{15} - 5 x^{14} + 28 x^{13} - 47 x^{12} - 2 x^{11} + 187 x^{10} - 464 x^{9} + 658 x^{8} - 606 x^{7} + 366 x^{6} - 126 x^{5} + 21 x^{4} - 18 x^{3} + 33 x^{2} - 18 x + 3$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{14}\cdot 7^{6}$ |
$3$ |
$15.3439740868$ |
$19.5692919025805$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$6$ |
$7$ |
$3737.55934116$ |
| 16.4.997...544.2 |
$x^{16} - 4 x^{15} + 10 x^{13} - 22 x^{12} + 42 x^{11} - 67 x^{10} + 82 x^{9} - 93 x^{8} + 82 x^{7} - 67 x^{6} + 42 x^{5} - 22 x^{4} + 10 x^{3} - 4 x + 1$ |
$16$ |
[4,6] |
$2^{24}\cdot 3^{6}\cdot 13^{8}$ |
$3$ |
$15.3970365306$ |
$17.663521732655695$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$9$ |
$1479.07441648$ |
| 16.4.110...000.2 |
$x^{16} - 14 x^{12} - 73 x^{8} - 46 x^{4} + 1$ |
$16$ |
[4,6] |
$2^{32}\cdot 3^{8}\cdot 5^{8}$ |
$3$ |
$15.4919333848$ |
$15.491933384829668$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$9$ |
$1837.99217481$ |
| 16.4.116...000.1 |
$x^{16} - 4 x^{15} - 2 x^{14} + 22 x^{13} + x^{12} - 66 x^{11} + 5 x^{10} + 144 x^{9} - 137 x^{8} + 88 x^{7} - 168 x^{6} + 180 x^{5} - 69 x^{4} + 10 x^{3} - 7 x^{2} + 2 x + 1$ |
$16$ |
[4,6] |
$2^{24}\cdot 5^{8}\cdot 11^{6}$ |
$3$ |
$15.5436229426$ |
$20.97617696340303$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$9$ |
$1201.23688623$ |
| 16.0.238...584.1 |
$x^{16} - 5 x^{15} + 4 x^{14} + 18 x^{13} - 20 x^{12} - 39 x^{11} + 17 x^{10} + 85 x^{9} + 62 x^{8} - 189 x^{7} - 152 x^{6} + 233 x^{5} + 174 x^{4} - 77 x^{3} - 197 x^{2} - 26 x + 127$ |
$16$ |
[0,8] |
$2^{18}\cdot 3^{8}\cdot 7^{12}$ |
$3$ |
$16.2570934618$ |
$21.08284184494233$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$6$ |
$7$ |
$3314.66450426$ |
| 16.0.512...625.1 |
$x^{16} - 8 x^{15} + 26 x^{14} - 42 x^{13} + 36 x^{12} - 34 x^{11} + 76 x^{10} - 116 x^{9} + 114 x^{8} - 134 x^{7} + 136 x^{6} - 34 x^{5} - 24 x^{4} - 18 x^{3} + 16 x^{2} + 5 x + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{6}\cdot 29^{8}$ |
$3$ |
$17.0558503941$ |
$20.85665361461421$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
$[3]$ |
$6$ |
$7$ |
$2358.2539372$ |
| 16.0.561...000.1 |
$x^{16} - 2 x^{15} - 3 x^{14} + 6 x^{13} + 6 x^{12} + 8 x^{11} - 33 x^{10} - 92 x^{9} + 347 x^{8} - 470 x^{7} + 373 x^{6} - 204 x^{5} + 97 x^{4} - 54 x^{3} + 28 x^{2} - 8 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 5^{6}\cdot 11^{8}$ |
$3$ |
$17.1535924573$ |
$20.97617696340303$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$7$ |
$1372.75125694$ |
| 16.0.841...104.3 |
$x^{16} - 30 x^{12} + 303 x^{8} - 90 x^{4} + 9$ |
$16$ |
[0,8] |
$2^{44}\cdot 3^{14}$ |
$2$ |
$17.5919339575$ |
$19.18414001319457$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$6$ |
$7$ |
$12326.6355662$ |
| 16.0.118...024.6 |
$x^{16} - 12 x^{14} + 66 x^{12} - 176 x^{10} + 250 x^{8} - 192 x^{6} + 76 x^{4} - 16 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{54}\cdot 3^{8}$ |
$2$ |
$17.9695359834$ |
$21.36950004471431$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$12$ |
$7$ |
$14614.945249$ |
| 16.4.176...000.2 |
$x^{16} + 14 x^{12} - 73 x^{8} + 46 x^{4} + 1$ |
$16$ |
[4,6] |
$2^{36}\cdot 3^{8}\cdot 5^{8}$ |
$3$ |
$18.4231174064$ |
$18.42311740638763$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$9$ |
$7706.91672351$ |
| 16.0.210...376.1 |
$x^{16} - 8 x^{14} + 32 x^{12} - 72 x^{10} + 94 x^{8} - 56 x^{6} + 32 x^{4} - 24 x^{2} + 9$ |
$16$ |
[0,8] |
$2^{58}\cdot 3^{6}$ |
$2$ |
$18.6274842474$ |
$21.36950004471431$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$8$ |
$7$ |
$20178.7579074$ |
| 16.4.336...416.3 |
$x^{16} - 36 x^{12} - 66 x^{8} + 108 x^{4} + 9$ |
$16$ |
[4,6] |
$2^{46}\cdot 3^{14}$ |
$2$ |
$19.1841400132$ |
$19.18414001319457$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$9$ |
$14307.9191899$ |
| 16.4.462...504.3 |
$x^{16} - 6 x^{15} + 11 x^{14} - 38 x^{12} + 120 x^{11} - 172 x^{10} - 96 x^{9} + 604 x^{8} - 450 x^{7} - 598 x^{6} + 1080 x^{5} - 203 x^{4} - 690 x^{3} + 623 x^{2} - 210 x + 25$ |
$16$ |
[4,6] |
$2^{24}\cdot 3^{14}\cdot 7^{8}$ |
$3$ |
$19.5692919026$ |
$19.5692919025805$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$9$ |
$19910.9117506$ |
| 16.0.134...664.40 |
$x^{16} - 12 x^{14} + 78 x^{12} - 300 x^{10} + 678 x^{8} - 900 x^{6} + 702 x^{4} - 324 x^{2} + 81$ |
$16$ |
[0,8] |
$2^{48}\cdot 3^{14}$ |
$2$ |
$20.920453028921656$ |
$22.813915798899377$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$6$ |
$7$ |
$47163.81269614346$ |
| 16.4.152...376.1 |
$x^{16} - 6 x^{15} + 13 x^{14} - 20 x^{13} + 82 x^{12} - 298 x^{11} + 502 x^{10} - 202 x^{9} - 629 x^{8} + 1246 x^{7} - 1104 x^{6} + 494 x^{5} - 12 x^{4} - 120 x^{3} + 67 x^{2} - 14 x + 1$ |
$16$ |
[4,6] |
$2^{24}\cdot 3^{8}\cdot 7^{12}$ |
$3$ |
$21.0828418449$ |
$21.08284184494233$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$9$ |
$19028.1201142$ |
| 16.4.189...384.1 |
$x^{16} - 8 x^{14} + 8 x^{12} + 40 x^{10} - 42 x^{8} - 120 x^{6} - 72 x^{4} - 8 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{58}\cdot 3^{8}$ |
$2$ |
$21.3695000447$ |
$21.36950004471431$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$9$ |
$38579.6299143$ |
| 16.4.189...384.5 |
$x^{16} - 8 x^{12} - 10 x^{8} + 8 x^{4} + 1$ |
$16$ |
[4,6] |
$2^{58}\cdot 3^{8}$ |
$2$ |
$21.3695000447$ |
$21.36950004471431$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$9$ |
$29529.3320717$ |
| 16.0.189...384.5 |
$x^{16} - 8 x^{14} + 40 x^{12} - 120 x^{10} + 238 x^{8} - 280 x^{6} + 216 x^{4} - 72 x^{2} + 25$ |
$16$ |
[0,8] |
$2^{58}\cdot 3^{8}$ |
$2$ |
$21.3695000447$ |
$21.36950004471431$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
$[2]$ |
$4$ |
$7$ |
$33237.3304544$ |
| 16.4.189...384.6 |
$x^{16} - 12 x^{12} + 2 x^{8} + 12 x^{4} + 1$ |
$16$ |
[4,6] |
$2^{58}\cdot 3^{8}$ |
$2$ |
$21.3695000447$ |
$21.36950004471431$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$9$ |
$30460.1981818$ |
| 16.0.389...000.7 |
$x^{16} - 4 x^{15} + 10 x^{14} - 32 x^{13} + 63 x^{12} - 74 x^{11} + 162 x^{10} - 380 x^{9} + 947 x^{8} - 2244 x^{7} + 3921 x^{6} - 4596 x^{5} + 3793 x^{4} - 2200 x^{3} + 877 x^{2} - 226 x + 31$ |
$16$ |
[0,8] |
$2^{24}\cdot 5^{8}\cdot 29^{6}$ |
$3$ |
$22.3578091631$ |
$34.058772731852805$ |
✓ |
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$7$ |
$9192.49654065$ |
| 16.4.538...656.18 |
$x^{16} - 24 x^{10} - 84 x^{8} + 432 x^{6} - 504 x^{4} + 144 x^{2} + 36$ |
$16$ |
[4,6] |
$2^{50}\cdot 3^{14}$ |
$2$ |
$22.813915798899377$ |
$22.813915798899377$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$9$ |
$54744.542184568505$ |
| 16.0.134...064.24 |
$x^{16} - 16 x^{14} + 32 x^{12} + 240 x^{10} + 400 x^{8} + 320 x^{6} + 152 x^{4} + 48 x^{2} + 9$ |
$16$ |
[0,8] |
$2^{64}\cdot 3^{6}$ |
$2$ |
$24.15685837563368$ |
$27.712812921102035$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$8$ |
$7$ |
$148066.63161318918$ |
| 16.0.382...776.78 |
$x^{16} - 18 x^{12} + 117 x^{8} - 162 x^{4} + 81$ |
$16$ |
[0,8] |
$2^{56}\cdot 3^{12}$ |
$2$ |
$25.789678363765006$ |
$28.12384367863563$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$6$ |
$7$ |
$260713.71408280413$ |
| 16.0.861...496.57 |
$x^{16} - 24 x^{14} + 288 x^{12} - 1344 x^{10} + 3552 x^{8} - 5184 x^{6} + 4608 x^{4} - 2304 x^{2} + 576$ |
$16$ |
[0,8] |
$2^{54}\cdot 3^{14}$ |
$2$ |
$27.130470989124127$ |
$32.263749133641326$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$12$ |
$7$ |
$410119.73471582297$ |
| 16.4.121...576.79 |
$x^{16} - 16 x^{8} + 16$ |
$16$ |
[4,6] |
$2^{64}\cdot 3^{8}$ |
$2$ |
$27.712812921102035$ |
$27.712812921102035$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$9$ |
$223509.2449079539$ |
| 16.0.131...000.1 |
$x^{16} - 8 x^{15} + 54 x^{14} - 238 x^{13} + 843 x^{12} - 2328 x^{11} + 5179 x^{10} - 9274 x^{9} + 13292 x^{8} - 15124 x^{7} + 13533 x^{6} - 9398 x^{5} + 4964 x^{4} - 1930 x^{3} + 522 x^{2} - 88 x + 7$ |
$16$ |
[0,8] |
$2^{24}\cdot 5^{6}\cdot 29^{8}$ |
$3$ |
$27.8520870631$ |
$34.058772731852805$ |
✓ |
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$7$ |
$91509.6053642$ |
| 16.4.153...104.90 |
$x^{16} - 12 x^{12} - 270 x^{8} + 1836 x^{4} + 81$ |
$16$ |
[4,6] |
$2^{58}\cdot 3^{12}$ |
$2$ |
$28.12384367863563$ |
$28.12384367863563$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$9$ |
$302618.726154611$ |
| 16.16.174...184.1 |
$x^{16} - 28 x^{14} - 8 x^{13} + 250 x^{12} + 8 x^{11} - 1036 x^{10} + 380 x^{9} + 2009 x^{8} - 1632 x^{7} - 1216 x^{6} + 1932 x^{5} - 612 x^{4} - 144 x^{3} + 116 x^{2} - 20 x + 1$ |
$16$ |
[16,0] |
$2^{40}\cdot 3^{8}\cdot 17^{6}$ |
$3$ |
$28.3500586727$ |
$40.39801975344831$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$15$ |
$2603928.35311$ |
| 16.0.174...184.3 |
$x^{16} + 20 x^{14} - 8 x^{13} + 130 x^{12} + 40 x^{11} + 300 x^{10} + 332 x^{9} + 681 x^{8} + 672 x^{7} + 872 x^{6} + 1244 x^{5} + 1084 x^{4} + 656 x^{3} + 812 x^{2} + 844 x + 313$ |
$16$ |
[0,8] |
$2^{40}\cdot 3^{8}\cdot 17^{6}$ |
$3$ |
$28.350058672688814$ |
$40.39801975344831$ |
✓ |
|
? |
$D_8:C_2$ (as 16T44) |
$[2, 4]$ |
$2$ |
$7$ |
$9072.358008880165$ |
| 16.0.344...984.28 |
$x^{16} + 228 x^{12} + 330 x^{8} + 108 x^{4} + 9$ |
$16$ |
[0,8] |
$2^{56}\cdot 3^{14}$ |
$2$ |
$29.5859884044903$ |
$32.263749133641326$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$6$ |
$7$ |
$713896.3746448869$ |
| 16.16.997...000.1 |
$x^{16} - 32 x^{14} - 16 x^{13} + 359 x^{12} + 312 x^{11} - 1762 x^{10} - 2152 x^{9} + 3697 x^{8} + 6200 x^{7} - 2208 x^{6} - 7340 x^{5} - 1651 x^{4} + 2856 x^{3} + 1652 x^{2} + 164 x - 31$ |
$16$ |
[16,0] |
$2^{32}\cdot 5^{8}\cdot 29^{6}$ |
$3$ |
$31.6187169434$ |
$48.16637831516918$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$15$ |
$5522915.69449$ |
| 16.0.137...936.81 |
$x^{16} - 8 x^{15} + 20 x^{14} - 64 x^{12} - 160 x^{11} + 1324 x^{10} - 3144 x^{9} + 5728 x^{8} - 8040 x^{7} + 9292 x^{6} - 9488 x^{5} + 8192 x^{4} - 4992 x^{3} + 2084 x^{2} - 568 x + 73$ |
$16$ |
[0,8] |
$2^{58}\cdot 3^{14}$ |
$2$ |
$32.263749133641326$ |
$32.263749133641326$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
$[2]$ |
$4$ |
$7$ |
$1229795.6915646258$ |
| 16.0.137...936.85 |
$x^{16} - 12 x^{12} + 114 x^{8} + 108 x^{4} + 81$ |
$16$ |
[0,8] |
$2^{58}\cdot 3^{14}$ |
$2$ |
$32.263749133641326$ |
$32.263749133641326$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
$[2]$ |
$2$ |
$7$ |
$706493.9684418928$ |
| 16.16.243...000.1 |
$x^{16} - 2 x^{15} - 33 x^{14} + 94 x^{13} + 287 x^{12} - 1146 x^{11} - 532 x^{10} + 5532 x^{9} - 3055 x^{8} - 10504 x^{7} + 12454 x^{6} + 4654 x^{5} - 12327 x^{4} + 3014 x^{3} + 2435 x^{2} - 702 x - 169$ |
$16$ |
[16,0] |
$2^{24}\cdot 5^{12}\cdot 29^{6}$ |
$3$ |
$33.43272268277584$ |
$50.92974429446663$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$15$ |
$8114556.127637699$ |
| 16.4.980...656.205 |
$x^{16} - 24 x^{12} - 324 x^{8} - 216 x^{4} + 81$ |
$16$ |
[4,6] |
$2^{64}\cdot 3^{12}$ |
$2$ |
$36.47211291127644$ |
$36.47211291127644$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
$2$ |
$9$ |
$2684830.5194406193$ |
| 16.0.980...656.235 |
$x^{16} + 144 x^{8} + 1296$ |
$16$ |
[0,8] |
$2^{64}\cdot 3^{12}$ |
$2$ |
$36.47211291127644$ |
$36.47211291127644$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
$[2]$ |
$2$ |
$7$ |
$1328802.525885491$ |
