| 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 |
| 16.0.120573447359765625.1 |
$x^{16} - x^{15} + x^{14} - 2 x^{13} + 3 x^{12} - 5 x^{11} + 4 x^{10} - 2 x^{9} + 2 x^{8} - x^{7} + 3 x^{6} + 5 x^{5} + 4 x^{4} + 2 x^{3} + 6 x^{2} - 2 x + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{8}\cdot 19^{6}$ |
$3$ |
$11.6836416948$ |
$16.881943016134134$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
trivial |
$6$ |
$7$ |
$179.27186754$ |
| 16.0.367765683359765625.1 |
$x^{16} - 4 x^{15} + 14 x^{14} - 38 x^{13} + 71 x^{12} - 122 x^{11} + 165 x^{10} - 186 x^{9} + 217 x^{8} - 174 x^{7} + 180 x^{6} - 83 x^{5} + 71 x^{4} - 17 x^{3} + 14 x^{2} - x + 1$ |
$16$ |
[0,8] |
$3^{12}\cdot 5^{8}\cdot 11^{6}$ |
$3$ |
$12.5270323843$ |
$16.90527678711191$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
trivial |
$6$ |
$7$ |
$369.495683302$ |
| 16.0.110...664.1 |
$x^{16} - 2 x^{12} + 9 x^{10} + 21 x^{8} + 9 x^{6} - 2 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 37^{6}$ |
$3$ |
$13.4173351948$ |
$21.071307505705477$ |
|
|
|
$C_2\times D_8$ (as 16T29) |
trivial |
$12$ |
$7$ |
$1588.76894308$ |
| 16.0.120...000.1 |
$x^{16} + x^{14} - 2 x^{12} - x^{10} + 8 x^{8} + 13 x^{6} + 12 x^{4} + 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{8}\cdot 19^{6}$ |
$3$ |
$13.4911073552$ |
$19.493588689617926$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
trivial |
$4$ |
$7$ |
$383.351666054$ |
| 16.0.165...784.2 |
$x^{16} - 8 x^{14} + 22 x^{12} - 20 x^{10} - 13 x^{8} + 36 x^{6} - 14 x^{4} - 12 x^{2} + 25$ |
$16$ |
[0,8] |
$2^{36}\cdot 17^{6}$ |
$2$ |
$13.763720213$ |
$19.61290618356907$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
trivial |
$8$ |
$7$ |
$1225.89271438$ |
| 16.0.174...625.1 |
$x^{16} - x^{15} + 2 x^{14} - 7 x^{13} + 4 x^{12} - 6 x^{11} + 11 x^{10} - 2 x^{9} + 13 x^{8} + 2 x^{7} + 11 x^{6} + 6 x^{5} + 4 x^{4} + 7 x^{3} + 2 x^{2} + x + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{6}\cdot 19^{8}$ |
$3$ |
$13.8054694566$ |
$16.881943016134134$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
trivial |
$6$ |
$7$ |
$1063.68640264$ |
| 16.0.177...041.1 |
$x^{16} - 3 x^{15} + 6 x^{14} - 3 x^{13} + 7 x^{12} - 12 x^{11} - 3 x^{10} - 3 x^{9} + 30 x^{8} - 42 x^{7} + 21 x^{6} + 12 x^{5} - 11 x^{4} - 6 x^{3} + 12 x^{2} - 6 x + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 7^{8}\cdot 19^{6}$ |
$3$ |
$13.8242712847$ |
$19.974984355438178$ |
|
|
|
$C_2\times D_8$ (as 16T29) |
trivial |
$6$ |
$7$ |
$872.407381963$ |
| 16.0.177...625.1 |
$x^{16} - 3 x^{15} + 10 x^{14} - 13 x^{13} + 27 x^{12} - 24 x^{11} + 52 x^{10} - 30 x^{9} + 49 x^{8} - 32 x^{7} + 45 x^{6} - 22 x^{5} + 22 x^{4} - 18 x^{3} + 6 x^{2} - 6 x + 3$ |
$16$ |
[0,8] |
$3^{12}\cdot 5^{6}\cdot 11^{8}$ |
$3$ |
$13.824551008$ |
$16.90527678711191$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
trivial |
$6$ |
$7$ |
$1469.71837707$ |
| 16.0.204...736.1 |
$x^{16} - 3 x^{14} + 9 x^{12} - 2 x^{11} - 2 x^{10} + 14 x^{9} + 2 x^{8} + 6 x^{7} + 10 x^{6} + 2 x^{5} + 5 x^{4} + 2 x^{3} + 5 x^{2} + 2 x + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 41^{6}$ |
$3$ |
$13.9439099456$ |
$22.181073012818835$ |
|
|
|
$C_2\times D_8$ (as 16T29) |
trivial |
$12$ |
$7$ |
$3898.32779719$ |
| 16.0.206...984.1 |
$x^{16} - 4 x^{14} + 8 x^{12} - 12 x^{10} + 14 x^{8} - 28 x^{6} + 72 x^{4} - 84 x^{2} + 49$ |
$16$ |
[0,8] |
$2^{44}\cdot 7^{6}$ |
$2$ |
$13.9554631106$ |
$17.798422345016238$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
trivial |
$8$ |
$7$ |
$1305.13495835$ |
| 16.0.265...144.1 |
$x^{16} - 2 x^{15} + 2 x^{14} - 7 x^{12} + 18 x^{11} - 22 x^{10} + 6 x^{9} + 48 x^{8} - 60 x^{7} + 48 x^{6} + 46 x^{5} - 59 x^{4} + 60 x^{3} + 16 x^{2} - 20 x + 25$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{8}\cdot 17^{6}$ |
$3$ |
$14.1750293363$ |
$20.199009876724155$ |
|
|
|
$C_2\times D_8$ (as 16T29) |
trivial |
$12$ |
$7$ |
$2866.74197037$ |
| 16.0.381...576.1 |
$x^{16} + 10 x^{14} + 45 x^{12} + 106 x^{10} + 132 x^{8} + 78 x^{6} + 13 x^{4} + 14 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 31^{6}$ |
$2$ |
$14.4984183302$ |
$22.271057451320086$ |
|
|
|
$C_2\times D_8$ (as 16T29) |
trivial |
$8$ |
$7$ |
$2490.48417067$ |
| 16.0.633...576.8 |
$x^{16} + 6 x^{12} + 13 x^{8} - 16 x^{4} + 4$ |
$16$ |
[0,8] |
$2^{40}\cdot 7^{8}$ |
$2$ |
$14.9666295471$ |
$17.798422345016238$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
trivial |
$4$ |
$7$ |
$2049.910618$ |
| 16.0.773...625.1 |
$x^{16} - 5 x^{15} + 11 x^{14} - 17 x^{13} + 46 x^{11} + 18 x^{10} - 257 x^{9} + 481 x^{8} - 424 x^{7} + 141 x^{6} + 26 x^{5} - 12 x^{4} - 22 x^{3} + 20 x^{2} - 7 x + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{12}\cdot 13^{6}$ |
$3$ |
$15.1536372812$ |
$20.88140933013045$ |
|
|
|
$C_2\times D_8$ (as 16T29) |
$[2]$ |
$6$ |
$7$ |
$1069.42947142$ |
| 16.0.131...649.1 |
$x^{16} - x^{15} + 10 x^{14} - 12 x^{13} + 42 x^{12} - 50 x^{11} + 102 x^{10} - 88 x^{9} + 153 x^{8} - 45 x^{7} + 115 x^{6} + 37 x^{5} + 64 x^{4} + 93 x^{3} + 42 x^{2} + 27 x + 9$ |
$16$ |
[0,8] |
$3^{8}\cdot 7^{6}\cdot 19^{8}$ |
$3$ |
$15.6620711602$ |
$19.974984355438178$ |
|
|
|
$C_2\times D_8$ (as 16T29) |
trivial |
$6$ |
$7$ |
$3179.60910431$ |
| 16.0.173...000.1 |
$x^{16} + 3 x^{14} + 11 x^{12} + 28 x^{10} + 39 x^{8} + 28 x^{6} + 11 x^{4} + 3 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{6}\cdot 19^{8}$ |
$3$ |
$15.9411830142$ |
$19.493588689617926$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
trivial |
$4$ |
$7$ |
$2321.77658699$ |
| 16.0.175...000.3 |
$x^{16} - 8 x^{14} + 24 x^{12} - 48 x^{10} + 132 x^{8} - 320 x^{6} + 456 x^{4} - 320 x^{2} + 100$ |
$16$ |
[0,8] |
$2^{50}\cdot 5^{6}$ |
$2$ |
$15.9526371865$ |
$19.507595361829473$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
trivial |
$8$ |
$7$ |
$6013.4547914$ |
| 16.0.253...304.2 |
$x^{16} + 30 x^{8} + 1$ |
$16$ |
[0,8] |
$2^{42}\cdot 7^{8}$ |
$2$ |
$16.321225253$ |
$17.798422345016238$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
trivial |
$2$ |
$7$ |
$2517.41661853$ |
| 16.4.435...625.1 |
$x^{16} - 4 x^{14} - 7 x^{13} + 4 x^{12} + 46 x^{11} + 2 x^{10} - 134 x^{9} + 38 x^{8} + 354 x^{7} - 328 x^{6} + 24 x^{5} + 309 x^{4} - 348 x^{3} + 116 x^{2} - 115 x - 29$ |
$16$ |
[4,6] |
$3^{8}\cdot 5^{8}\cdot 19^{8}$ |
$3$ |
$16.8819430161$ |
$16.881943016134134$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
trivial |
$2$ |
$9$ |
$2896.84772251$ |
| 16.0.435...625.2 |
$x^{16} - 2 x^{15} + 3 x^{14} + 4 x^{13} - 6 x^{12} + 12 x^{11} + 44 x^{10} - 27 x^{9} - 25 x^{8} - 12 x^{7} + 95 x^{6} + 245 x^{5} + 378 x^{4} + 251 x^{3} + 77 x^{2} + 12 x + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{8}\cdot 19^{8}$ |
$3$ |
$16.8819430161$ |
$16.881943016134134$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
$[2]$ |
$2$ |
$7$ |
$1054.19663109$ |
| 16.4.444...625.1 |
$x^{16} - 8 x^{14} - 9 x^{13} + 18 x^{12} + 51 x^{11} - 29 x^{10} - 108 x^{9} - 23 x^{8} + 171 x^{7} + 99 x^{6} - 111 x^{5} - 84 x^{4} - 45 x^{3} + 9 x^{2} + 18 x + 9$ |
$16$ |
[4,6] |
$3^{12}\cdot 5^{8}\cdot 11^{8}$ |
$3$ |
$16.9052767871$ |
$16.90527678711191$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
trivial |
$2$ |
$9$ |
$3619.65458774$ |
| 16.0.444...625.2 |
$x^{16} - 5 x^{15} + x^{14} + 23 x^{13} - 5 x^{12} - 65 x^{11} + 5 x^{10} + 79 x^{9} + 52 x^{8} - 52 x^{7} - 107 x^{6} + 43 x^{5} + 58 x^{4} - 21 x^{3} - 6 x^{2} - 9 x + 9$ |
$16$ |
[0,8] |
$3^{12}\cdot 5^{8}\cdot 11^{8}$ |
$3$ |
$16.9052767871$ |
$16.90527678711191$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
$[2]$ |
$2$ |
$7$ |
$1964.89702961$ |
| 16.0.479...976.1 |
$x^{16} + x^{12} + 5 x^{8} - 4 x^{4} + 16$ |
$16$ |
[0,8] |
$2^{20}\cdot 3^{8}\cdot 17^{8}$ |
$3$ |
$16.985274997$ |
$20.199009876724155$ |
|
|
|
$C_2\times D_8$ (as 16T29) |
trivial |
$6$ |
$7$ |
$9119.50243681$ |
| 16.0.695...625.1 |
$x^{16} - 3 x^{15} + 3 x^{14} + 14 x^{10} - 24 x^{9} + 9 x^{8} - 9 x^{7} + 49 x^{4} - 21 x^{3} + 24 x^{2} - 9 x + 9$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{6}\cdot 7^{14}$ |
$3$ |
$17.3834176278$ |
$21.257217419483183$ |
|
|
|
$C_2\times D_8$ (as 16T29) |
trivial |
$6$ |
$7$ |
$8331.90156343$ |
| 16.0.713...089.1 |
$x^{16} - 7 x^{14} + 7 x^{12} + 28 x^{10} + 23 x^{8} + 28 x^{6} + 7 x^{4} - 7 x^{2} + 1$ |
$16$ |
[0,8] |
$3^{6}\cdot 7^{8}\cdot 19^{8}$ |
$3$ |
$17.4119050817$ |
$19.974984355438178$ |
|
|
|
$C_2\times D_8$ (as 16T29) |
trivial |
$2$ |
$7$ |
$2869.3787766$ |
| 16.4.101...216.1 |
$x^{16} - 4 x^{14} + 2 x^{12} - 12 x^{10} + 3 x^{8} + 76 x^{6} + 38 x^{4} + 16 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{44}\cdot 7^{8}$ |
$2$ |
$17.798422345$ |
$17.798422345016238$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
trivial |
$2$ |
$9$ |
$6143.05856727$ |
| 16.0.109...000.2 |
$x^{16} - 4 x^{14} - 2 x^{12} + 24 x^{10} + 23 x^{8} - 72 x^{6} + 52 x^{4} - 12 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{48}\cdot 5^{8}$ |
$2$ |
$17.88854382$ |
$19.507595361829473$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
trivial |
$2$ |
$7$ |
$3283.22245833$ |
| 16.4.109...000.3 |
$x^{16} - 4 x^{14} - 6 x^{12} + 64 x^{10} - 141 x^{8} + 136 x^{6} - 56 x^{4} + 4 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{48}\cdot 5^{8}$ |
$2$ |
$17.88854382$ |
$19.507595361829473$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
trivial |
$2$ |
$9$ |
$5262.12135856$ |
| 16.0.118...024.5 |
$x^{16} - 4 x^{14} + 6 x^{12} - 24 x^{10} + 66 x^{8} - 64 x^{6} + 44 x^{4} - 16 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{54}\cdot 3^{8}$ |
$2$ |
$17.9695359834$ |
$21.36950004471431$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
trivial |
$12$ |
$7$ |
$21055.9449836$ |
| 16.0.118...024.8 |
$x^{16} - 8 x^{14} + 32 x^{12} - 72 x^{10} + 104 x^{8} - 96 x^{6} + 32 x^{4} + 16 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{54}\cdot 3^{8}$ |
$2$ |
$17.9695359834$ |
$21.36950004471431$ |
|
|
|
$C_2\times D_8$ (as 16T29) |
trivial |
$12$ |
$7$ |
$22958.3197013$ |
| 16.0.119...144.1 |
$x^{16} + 6 x^{14} + 9 x^{12} + 8 x^{10} + 60 x^{8} + 74 x^{6} + 33 x^{4} + 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{34}\cdot 17^{8}$ |
$2$ |
$17.9851142693$ |
$19.61290618356907$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
$[2]$ |
$2$ |
$7$ |
$2913.51237231$ |
| 16.4.119...144.3 |
$x^{16} - 6 x^{14} + 9 x^{12} - 8 x^{10} + 60 x^{8} - 74 x^{6} + 33 x^{4} - 8 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{34}\cdot 17^{8}$ |
$2$ |
$17.9851142693$ |
$19.61290618356907$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
trivial |
$2$ |
$9$ |
$10909.1563368$ |
| 16.4.145...625.1 |
$x^{16} - 7 x^{15} + 21 x^{14} - 30 x^{13} + x^{12} + 84 x^{11} - 145 x^{10} + 89 x^{9} + 42 x^{8} - 77 x^{7} - 85 x^{6} - 3 x^{5} + 121 x^{4} + 30 x^{3} - 66 x^{2} - 26 x + 1$ |
$16$ |
[4,6] |
$3^{6}\cdot 5^{12}\cdot 13^{8}$ |
$3$ |
$18.2020226279$ |
$20.88140933013045$ |
|
|
|
$C_2\times D_8$ (as 16T29) |
trivial |
$2$ |
$9$ |
$7095.08053777$ |
| 16.0.167...224.1 |
$x^{16} - x^{14} + 7 x^{12} + 28 x^{10} + 11 x^{8} + 28 x^{6} + 7 x^{4} - x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{6}\cdot 37^{8}$ |
$3$ |
$18.3675541221$ |
$21.071307505705477$ |
|
|
|
$C_2\times D_8$ (as 16T29) |
trivial |
$4$ |
$7$ |
$6012.13212984$ |
| 16.0.182...144.2 |
$x^{16} - 2 x^{15} + 2 x^{14} + 12 x^{9} + 4 x^{8} - 4 x^{7} + 49 x^{4} - 14 x^{3} + 2 x^{2} - 4 x + 4$ |
$16$ |
[0,8] |
$2^{28}\cdot 7^{14}$ |
$2$ |
$18.4613424107$ |
$21.954359747298287$ |
|
|
|
$C_2\times D_8$ (as 16T29) |
$[2]$ |
$4$ |
$7$ |
$8750.43341456$ |
| 16.0.193...625.1 |
$x^{16} - 6 x^{14} + 21 x^{12} - 42 x^{10} + 84 x^{8} - 231 x^{6} + 469 x^{4} - 510 x^{2} + 225$ |
$16$ |
[0,8] |
$3^{6}\cdot 5^{8}\cdot 7^{14}$ |
$3$ |
$18.5296091062$ |
$21.257217419483183$ |
|
|
|
$C_2\times D_8$ (as 16T29) |
trivial |
$2$ |
$7$ |
$5117.96210126$ |
| 16.0.210...376.2 |
$x^{16} - 12 x^{12} + 42 x^{8} + 28 x^{4} + 9$ |
$16$ |
[0,8] |
$2^{58}\cdot 3^{6}$ |
$2$ |
$18.6274842474$ |
$21.36950004471431$ |
|
|
|
$C_2\times D_8$ (as 16T29) |
trivial |
$8$ |
$7$ |
$30729.693993$ |
| 16.0.214...576.1 |
$x^{16} - 3 x^{15} + 8 x^{14} - 11 x^{13} + 17 x^{12} - 16 x^{11} + 34 x^{10} - 30 x^{9} + 16 x^{8} - 30 x^{7} + 34 x^{6} - 16 x^{5} + 17 x^{4} - 11 x^{3} + 8 x^{2} - 3 x + 1$ |
$16$ |
[0,8] |
$2^{12}\cdot 3^{8}\cdot 41^{8}$ |
$3$ |
$18.651984783$ |
$22.181073012818835$ |
|
|
|
$C_2\times D_8$ (as 16T29) |
trivial |
$6$ |
$7$ |
$24622.8690512$ |
| 16.0.228...096.1 |
$x^{16} + 3 x^{14} + x^{12} - 26 x^{10} + 50 x^{8} - 26 x^{6} + x^{4} + 3 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{28}\cdot 31^{8}$ |
$2$ |
$18.7276523747$ |
$22.271057451320086$ |
|
|
|
$C_2\times D_8$ (as 16T29) |
$[3]$ |
$4$ |
$7$ |
$11330.4498479$ |
| 16.4.434...000.1 |
$x^{16} - 2 x^{14} + 17 x^{12} - 87 x^{10} + 268 x^{8} - 701 x^{6} + 1208 x^{4} - 1064 x^{2} + 361$ |
$16$ |
[4,6] |
$2^{16}\cdot 5^{8}\cdot 19^{8}$ |
$3$ |
$19.4935886896$ |
$19.493588689617926$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
trivial |
$2$ |
$9$ |
$9734.84095645$ |
| 16.0.434...000.2 |
$x^{16} + 2 x^{14} - 9 x^{12} - 4 x^{10} + 41 x^{8} - 115 x^{6} + 149 x^{4} - 65 x^{2} + 25$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{8}\cdot 19^{8}$ |
$3$ |
$19.4935886896$ |
$19.493588689617926$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
$[2]$ |
$2$ |
$7$ |
$3470.58919774$ |
| 16.0.439...000.4 |
$x^{16} - 8 x^{14} + 16 x^{12} + 16 x^{10} - 28 x^{8} + 96 x^{6} + 104 x^{4} - 32 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{50}\cdot 5^{8}$ |
$2$ |
$19.5075953618$ |
$19.507595361829473$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
$[2]$ |
$4$ |
$7$ |
$12406.9358717$ |
| 16.0.472...096.1 |
$x^{16} + 6 x^{12} - 16 x^{10} + 37 x^{8} - 48 x^{6} + 58 x^{4} - 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{56}\cdot 3^{8}$ |
$2$ |
$19.5959179423$ |
$21.36950004471431$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
trivial |
$6$ |
$7$ |
$28183.3668359$ |
| 16.0.472...096.4 |
$x^{16} - 12 x^{12} + 52 x^{8} - 48 x^{4} + 16$ |
$16$ |
[0,8] |
$2^{56}\cdot 3^{8}$ |
$2$ |
$19.5959179423$ |
$21.36950004471431$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
trivial |
$6$ |
$7$ |
$39963.6004204$ |
| 16.0.479...576.1 |
$x^{16} - 4 x^{15} + 10 x^{14} - 48 x^{13} + 158 x^{12} - 320 x^{11} + 614 x^{10} - 1004 x^{9} + 606 x^{8} + 804 x^{7} - 970 x^{6} - 1328 x^{5} + 3606 x^{4} - 3744 x^{3} + 2362 x^{2} - 884 x + 145$ |
$16$ |
[0,8] |
$2^{36}\cdot 17^{8}$ |
$2$ |
$19.6129061836$ |
$19.61290618356907$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
$[4]$ |
$4$ |
$7$ |
$5908.90081368$ |
| 16.4.642...801.1 |
$x^{16} - 8 x^{15} + 18 x^{14} + 14 x^{13} - 106 x^{12} + 90 x^{11} + 136 x^{10} - 218 x^{9} - 44 x^{8} + 186 x^{7} - 46 x^{6} + 2 x^{5} - 84 x^{4} + 88 x^{3} - 8 x^{2} - 21 x + 9$ |
$16$ |
[4,6] |
$3^{8}\cdot 7^{8}\cdot 19^{8}$ |
$3$ |
$19.9749843554$ |
$19.974984355438178$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
trivial |
$2$ |
$9$ |
$25672.5485932$ |
| 16.0.728...576.2 |
$x^{16} - 2 x^{14} + 14 x^{10} + 49 x^{4} + 26 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{30}\cdot 7^{14}$ |
$2$ |
$20.1322366542$ |
$21.954359747298287$ |
|
|
|
$C_2\times D_8$ (as 16T29) |
$[2]$ |
$2$ |
$7$ |
$11142.4336746$ |
| 16.4.767...616.1 |
$x^{16} + 4 x^{14} - 2 x^{13} - 23 x^{12} + 82 x^{11} - 100 x^{10} + 40 x^{9} + 217 x^{8} - 4 x^{7} + 12 x^{6} + 102 x^{5} + 79 x^{4} - 302 x^{3} - 556 x^{2} - 300 x - 50$ |
$16$ |
[4,6] |
$2^{24}\cdot 3^{8}\cdot 17^{8}$ |
$3$ |
$20.1990098767$ |
$20.199009876724155$ |
|
|
? |
$C_2\times D_8$ (as 16T29) |
trivial |
$2$ |
$9$ |
$55306.8962081$ |
| 16.0.767...616.2 |
$x^{16} - 8 x^{15} + 44 x^{14} - 162 x^{13} + 457 x^{12} - 978 x^{11} + 1646 x^{10} - 2074 x^{9} + 1928 x^{8} - 1024 x^{7} + 32 x^{6} + 522 x^{5} - 375 x^{4} + 34 x^{3} + 134 x^{2} - 102 x + 25$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{8}\cdot 17^{8}$ |
$3$ |
$20.1990098767$ |
$20.199009876724155$ |
|
|
|
$C_2\times D_8$ (as 16T29) |
$[2]$ |
$4$ |
$7$ |
$20048.5497167$ |
| 16.0.915...384.1 |
$x^{16} + 126 x^{8} + 1$ |
$16$ |
[0,8] |
$2^{30}\cdot 31^{8}$ |
$2$ |
$20.4226497293$ |
$22.271057451320086$ |
|
|
|
$C_2\times D_8$ (as 16T29) |
$[3]$ |
$2$ |
$7$ |
$6832.81574677$ |
