| 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 |
| 16.0.48546204325249024.1 |
$x^{16} - 2 x^{14} + 5 x^{12} - 2 x^{10} + 12 x^{8} - 2 x^{6} + 5 x^{4} - 2 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{34}\cdot 41^{4}$ |
$2$ |
$11.0378555174$ |
$46.973526518941995$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$4$ |
$7$ |
$143.309284462$ |
| 16.0.100387585600000000.1 |
$x^{16} - 3 x^{15} + 6 x^{14} - 7 x^{13} + 3 x^{12} + 3 x^{11} - 6 x^{10} + 7 x^{9} - 4 x^{8} + 7 x^{7} - 6 x^{6} + 3 x^{5} + 3 x^{4} - 7 x^{3} + 6 x^{2} - 3 x + 1$ |
$16$ |
[0,8] |
$2^{12}\cdot 5^{8}\cdot 89^{4}$ |
$3$ |
$11.5506121328$ |
$59.665735560705194$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$66.754406324$ |
| 16.0.194184817300996096.1 |
$x^{16} - 4 x^{14} + 5 x^{12} + 4 x^{10} - 8 x^{8} - 4 x^{6} + 5 x^{4} + 4 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{36}\cdot 41^{4}$ |
$2$ |
$12.0368667937$ |
$46.973526518941995$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$4$ |
$7$ |
$314.453437591$ |
| 16.0.160...000.1 |
$x^{16} - 2 x^{15} + 2 x^{14} - 6 x^{13} + 8 x^{12} - 4 x^{11} + 6 x^{10} - 8 x^{9} + 17 x^{8} - 34 x^{7} + 24 x^{6} - 8 x^{5} + 13 x^{4} - 18 x^{3} + 13 x^{2} - 4 x + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{8}\cdot 89^{4}$ |
$3$ |
$13.7360701309$ |
$59.665735560705194$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$240.86180591$ |
| 16.0.160...000.2 |
$x^{16} - 8 x^{15} + 36 x^{14} - 112 x^{13} + 273 x^{12} - 546 x^{11} + 931 x^{10} - 1366 x^{9} + 1735 x^{8} - 1890 x^{7} + 1751 x^{6} - 1354 x^{5} + 855 x^{4} - 424 x^{3} + 154 x^{2} - 36 x + 4$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{8}\cdot 89^{4}$ |
$3$ |
$13.7360701309$ |
$59.665735560705194$ |
|
|
|
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$369.262176838$ |
| 16.0.160...000.3 |
$x^{16} - 4 x^{15} + 10 x^{14} - 18 x^{13} + 32 x^{12} - 48 x^{11} + 62 x^{10} - 68 x^{9} + 73 x^{8} - 64 x^{7} + 48 x^{6} - 26 x^{5} + 17 x^{4} - 4 x^{3} + 5 x^{2} + 2 x + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{8}\cdot 89^{4}$ |
$3$ |
$13.7360701309$ |
$59.665735560705194$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$305.381044776$ |
| 16.4.160...000.3 |
$x^{16} - 3 x^{14} - 3 x^{12} + 3 x^{10} - 12 x^{8} + 3 x^{6} - 3 x^{4} - 3 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{16}\cdot 5^{8}\cdot 89^{4}$ |
$3$ |
$13.7360701309$ |
$59.665735560705194$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$9$ |
$508.238664254$ |
| 16.4.160...000.4 |
$x^{16} + 3 x^{14} - 3 x^{12} - 3 x^{10} - 12 x^{8} - 3 x^{6} - 3 x^{4} + 3 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{16}\cdot 5^{8}\cdot 89^{4}$ |
$3$ |
$13.7360701309$ |
$59.665735560705194$ |
|
|
|
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$9$ |
$685.271928687$ |
| 16.8.463...000.2 |
$x^{16} - 2 x^{15} - 8 x^{14} + 26 x^{13} - 19 x^{12} - 4 x^{11} + 4 x^{10} - 16 x^{9} + 53 x^{8} - 56 x^{7} + 6 x^{6} + 54 x^{5} - 53 x^{4} + 6 x^{3} + 16 x^{2} - 8 x + 1$ |
$16$ |
[8,4] |
$2^{24}\cdot 5^{8}\cdot 29^{4}$ |
$3$ |
$14.6767364317$ |
$44.16876366153594$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$11$ |
$1635.12490583$ |
| 16.4.463...000.2 |
$x^{16} - 2 x^{15} - 2 x^{14} + 10 x^{13} - 20 x^{12} + 8 x^{11} + 16 x^{10} - 86 x^{9} + 214 x^{8} - 300 x^{7} + 330 x^{6} - 314 x^{5} + 213 x^{4} - 80 x^{3} + 8 x^{2} + 4 x - 1$ |
$16$ |
[4,6] |
$2^{24}\cdot 5^{8}\cdot 29^{4}$ |
$3$ |
$14.67673643169285$ |
$44.16876366153594$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$9$ |
$888.7309454117024$ |
| 16.8.463...000.3 |
$x^{16} - 6 x^{15} + 14 x^{14} - 14 x^{13} - 17 x^{12} + 94 x^{11} - 184 x^{10} + 222 x^{9} - 167 x^{8} + 34 x^{7} + 74 x^{6} - 112 x^{5} + 135 x^{4} - 116 x^{3} + 54 x^{2} - 12 x + 1$ |
$16$ |
[8,4] |
$2^{24}\cdot 5^{8}\cdot 29^{4}$ |
$3$ |
$14.6767364317$ |
$44.16876366153594$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$11$ |
$1637.4644759$ |
| 16.0.463...000.4 |
$x^{16} - 2 x^{14} + 11 x^{12} - 16 x^{10} + 73 x^{8} - 52 x^{6} + 19 x^{4} - 6 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 5^{8}\cdot 29^{4}$ |
$3$ |
$14.6767364317$ |
$44.16876366153594$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$425.283748684$ |
| 16.0.463...000.5 |
$x^{16} + 6 x^{14} + 13 x^{12} + 6 x^{10} + 8 x^{8} + 54 x^{6} + 73 x^{4} + 14 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 5^{8}\cdot 29^{4}$ |
$3$ |
$14.6767364317$ |
$44.16876366153594$ |
|
|
|
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$723.757206907$ |
| 16.0.389...625.1 |
$x^{16} - 2 x^{15} + 9 x^{14} - 14 x^{13} + 53 x^{12} - 64 x^{11} + 115 x^{10} - 135 x^{9} + 209 x^{8} - 186 x^{7} + 204 x^{6} - 149 x^{5} + 121 x^{4} - 63 x^{3} + 28 x^{2} - 7 x + 1$ |
$16$ |
[0,8] |
$5^{8}\cdot 29^{4}\cdot 109^{4}$ |
$3$ |
$16.7664503082$ |
$125.7179382586272$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
$[2]$ |
$[2]$ |
$2$ |
$7$ |
$558.777866748$ |
| 16.8.389...625.1 |
$x^{16} - 2 x^{15} - 2 x^{14} + 10 x^{12} + 23 x^{11} - 40 x^{10} - 45 x^{9} + 2 x^{8} + 120 x^{7} + 71 x^{6} - 216 x^{5} + 26 x^{4} + 73 x^{3} - 14 x^{2} - 7 x + 1$ |
$16$ |
[8,4] |
$5^{8}\cdot 29^{4}\cdot 109^{4}$ |
$3$ |
$16.7664503082$ |
$125.7179382586272$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$11$ |
$6055.40897697$ |
| 16.0.389...625.2 |
$x^{16} - 4 x^{15} + x^{14} + 14 x^{13} - 11 x^{12} - 12 x^{11} - 2 x^{10} - 3 x^{9} + 56 x^{8} - 43 x^{7} + 41 x^{6} - 75 x^{5} + 44 x^{4} - 26 x^{3} + 30 x^{2} - x + 1$ |
$16$ |
[0,8] |
$5^{8}\cdot 29^{4}\cdot 109^{4}$ |
$3$ |
$16.7664503082$ |
$125.7179382586272$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$1428.58606063$ |
| 16.0.389...625.3 |
$x^{16} - 4 x^{15} + x^{14} + 14 x^{13} - 8 x^{12} - 26 x^{11} + 19 x^{10} + 37 x^{9} - 49 x^{8} - 7 x^{7} + 41 x^{6} - 10 x^{5} + 5 x^{4} - 57 x^{3} + 77 x^{2} - 42 x + 9$ |
$16$ |
[0,8] |
$5^{8}\cdot 29^{4}\cdot 109^{4}$ |
$3$ |
$16.7664503082$ |
$125.7179382586272$ |
|
|
|
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$1965.980715$ |
| 16.8.741...000.1 |
$x^{16} - 4 x^{15} - 6 x^{14} + 32 x^{13} + 20 x^{12} - 96 x^{11} - 76 x^{10} + 120 x^{9} + 162 x^{8} + 4 x^{7} - 120 x^{6} - 72 x^{5} + 28 x^{4} - 64 x^{3} - 64 x^{2} + 4$ |
$16$ |
[8,4] |
$2^{28}\cdot 5^{8}\cdot 29^{4}$ |
$3$ |
$17.4536793896$ |
$44.16876366153594$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
$[2]$ |
$2$ |
$11$ |
$9015.09092349$ |
| 16.8.741...000.2 |
$x^{16} - 4 x^{15} - 6 x^{14} + 36 x^{13} + 16 x^{12} - 148 x^{11} - 28 x^{10} + 320 x^{9} + 50 x^{8} - 332 x^{7} - 16 x^{6} + 176 x^{5} - 68 x^{4} - 160 x^{3} - 80 x^{2} - 24 x - 4$ |
$16$ |
[8,4] |
$2^{28}\cdot 5^{8}\cdot 29^{4}$ |
$3$ |
$17.4536793896$ |
$44.16876366153594$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
$[2]$ |
$2$ |
$11$ |
$8974.47892299$ |
| 16.0.136...625.1 |
$x^{16} - 8 x^{15} + 28 x^{14} - 56 x^{13} + 68 x^{12} - 44 x^{11} - 2 x^{10} + 32 x^{9} - 6 x^{8} - 80 x^{7} + 106 x^{6} - 2 x^{5} - 54 x^{4} + 4 x^{3} + 18 x^{2} - 5 x + 1$ |
$16$ |
[0,8] |
$5^{8}\cdot 29^{4}\cdot 149^{4}$ |
$3$ |
$18.1293013818$ |
$146.98639392814562$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$2957.11843867$ |
| 16.4.136...625.1 |
$x^{16} - 2 x^{15} - x^{14} + 16 x^{13} - 30 x^{12} + 46 x^{10} - 2 x^{9} - 101 x^{8} + 84 x^{7} + 49 x^{6} - 80 x^{5} - 25 x^{4} + 28 x^{3} + 21 x^{2} + 6 x + 1$ |
$16$ |
[4,6] |
$5^{8}\cdot 29^{4}\cdot 149^{4}$ |
$3$ |
$18.1293013818$ |
$146.98639392814562$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$9$ |
$5653.09493079$ |
| 16.0.136...625.2 |
$x^{16} - 4 x^{15} + 3 x^{14} + 2 x^{13} + 12 x^{12} - 52 x^{11} + 63 x^{10} + 31 x^{9} - 113 x^{8} + 23 x^{7} + 83 x^{6} - 38 x^{5} - 11 x^{4} + 19 x^{3} + x^{2} - 2 x + 1$ |
$16$ |
[0,8] |
$5^{8}\cdot 29^{4}\cdot 149^{4}$ |
$3$ |
$18.1293013818$ |
$146.98639392814562$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$2942.64598919$ |
| 16.4.136...625.2 |
$x^{16} - 2 x^{15} - 2 x^{14} - 10 x^{13} - 16 x^{12} - 19 x^{11} - 60 x^{10} - 125 x^{9} - 195 x^{8} - 235 x^{7} - 240 x^{6} - 187 x^{5} - 116 x^{4} - 55 x^{3} - 18 x^{2} - x + 1$ |
$16$ |
[4,6] |
$5^{8}\cdot 29^{4}\cdot 149^{4}$ |
$3$ |
$18.1293013818$ |
$146.98639392814562$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$9$ |
$5183.28018396$ |
| 16.0.700...384.1 |
$x^{16} - 6 x^{14} + 11 x^{12} + 10 x^{10} - 19 x^{8} - 28 x^{6} + 140 x^{4} + 48 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{34}\cdot 17^{4}\cdot 47^{4}$ |
$3$ |
$23.191318246673205$ |
$190.1541805029679$ |
|
|
|
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$85531.4855822781$ |
| 16.0.302...144.4 |
$x^{16} - 8 x^{14} + 28 x^{12} - 40 x^{10} + 62 x^{8} - 40 x^{6} + 28 x^{4} - 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{62}\cdot 3^{8}$ |
$2$ |
$25.412761497225222$ |
$46.035004279893066$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$172500.42159207218$ |
| 16.0.302...144.5 |
$x^{16} - 4 x^{12} - 48 x^{10} + 126 x^{8} - 48 x^{6} - 4 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{62}\cdot 3^{8}$ |
$2$ |
$25.412761497225222$ |
$46.035004279893066$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$180882.0142258732$ |
| 16.0.302...144.6 |
$x^{16} - 4 x^{12} + 48 x^{10} + 126 x^{8} + 48 x^{6} - 4 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{62}\cdot 3^{8}$ |
$2$ |
$25.412761497225222$ |
$46.035004279893066$ |
|
|
|
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$632292.0623705108$ |
| 16.0.302...144.11 |
$x^{16} + 8 x^{14} + 28 x^{12} + 40 x^{10} + 62 x^{8} + 40 x^{6} + 28 x^{4} + 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{62}\cdot 3^{8}$ |
$2$ |
$25.412761497225222$ |
$46.035004279893066$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$178926.99982108155$ |
| 16.0.302...144.54 |
$x^{16} + 8 x^{14} + 40 x^{12} + 16 x^{10} - 136 x^{8} - 32 x^{6} + 160 x^{4} - 64 x^{2} + 16$ |
$16$ |
[0,8] |
$2^{62}\cdot 3^{8}$ |
$2$ |
$25.412761497225222$ |
$46.035004279893066$ |
|
|
|
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$387370.6549598008$ |
| 16.0.302...144.56 |
$x^{16} - 8 x^{14} + 40 x^{12} - 16 x^{10} - 136 x^{8} + 32 x^{6} + 160 x^{4} + 64 x^{2} + 16$ |
$16$ |
[0,8] |
$2^{62}\cdot 3^{8}$ |
$2$ |
$25.412761497225222$ |
$46.035004279893066$ |
|
|
|
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$105989.85663130088$ |
| 16.0.302...144.73 |
$x^{16} - 8 x^{14} + 36 x^{12} - 88 x^{10} + 110 x^{8} - 72 x^{6} + 100 x^{4} - 152 x^{2} + 81$ |
$16$ |
[0,8] |
$2^{62}\cdot 3^{8}$ |
$2$ |
$25.412761497225222$ |
$46.035004279893066$ |
|
|
|
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$80548.75430774258$ |
| 16.0.302...144.78 |
$x^{16} + 8 x^{14} + 36 x^{12} + 88 x^{10} + 110 x^{8} + 72 x^{6} + 100 x^{4} + 152 x^{2} + 81$ |
$16$ |
[0,8] |
$2^{62}\cdot 3^{8}$ |
$2$ |
$25.412761497225222$ |
$46.035004279893066$ |
|
|
|
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$1067405.177499117$ |
| 16.0.441...625.1 |
$x^{16} + 11 x^{14} + 78 x^{12} + 304 x^{10} + 313 x^{8} - 412 x^{6} - 78 x^{4} + 303 x^{2} + 1$ |
$16$ |
[0,8] |
$5^{4}\cdot 29^{8}\cdot 109^{4}$ |
$3$ |
$26.0194507386$ |
$125.7179382586272$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$47218.1659606$ |
| 16.0.441...625.2 |
$x^{16} - 8 x^{15} + 38 x^{14} - 126 x^{13} + 312 x^{12} - 598 x^{11} + 931 x^{10} - 1223 x^{9} + 1526 x^{8} - 1912 x^{7} + 2134 x^{6} - 1854 x^{5} + 1843 x^{4} - 1861 x^{3} + 1892 x^{2} - 1095 x + 1205$ |
$16$ |
[0,8] |
$5^{4}\cdot 29^{8}\cdot 109^{4}$ |
$3$ |
$26.0194507386$ |
$125.7179382586272$ |
|
|
|
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$128228.18223$ |
| 16.0.121...576.17 |
$x^{16} + 44 x^{12} - 192 x^{10} + 390 x^{8} - 192 x^{6} + 44 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{64}\cdot 3^{8}$ |
$2$ |
$27.712812921102035$ |
$46.035004279893066$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$333860.24818460556$ |
| 16.0.121...576.18 |
$x^{16} + 44 x^{12} + 192 x^{10} + 390 x^{8} + 192 x^{6} + 44 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{64}\cdot 3^{8}$ |
$2$ |
$27.712812921102035$ |
$46.035004279893066$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$321868.8829649332$ |
| 16.0.121...576.56 |
$x^{16} + 8 x^{14} + 28 x^{12} + 40 x^{10} + 10 x^{8} + 104 x^{6} + 628 x^{4} - 24 x^{2} + 9$ |
$16$ |
[0,8] |
$2^{64}\cdot 3^{8}$ |
$2$ |
$27.712812921102035$ |
$46.035004279893066$ |
|
|
|
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$722795.6827847882$ |
| 16.0.121...576.59 |
$x^{16} - 8 x^{14} + 28 x^{12} - 40 x^{10} + 10 x^{8} - 104 x^{6} + 628 x^{4} + 24 x^{2} + 9$ |
$16$ |
[0,8] |
$2^{64}\cdot 3^{8}$ |
$2$ |
$27.712812921102035$ |
$46.035004279893066$ |
|
|
|
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$197766.68627630812$ |
| 16.0.121...576.106 |
$x^{16} + 20 x^{12} + 32 x^{10} - 42 x^{8} - 128 x^{6} + 372 x^{4} - 288 x^{2} + 81$ |
$16$ |
[0,8] |
$2^{64}\cdot 3^{8}$ |
$2$ |
$27.712812921102035$ |
$46.035004279893066$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$408592.0791058465$ |
| 16.0.121...576.123 |
$x^{16} + 20 x^{12} - 32 x^{10} - 42 x^{8} + 128 x^{6} + 372 x^{4} + 288 x^{2} + 81$ |
$16$ |
[0,8] |
$2^{64}\cdot 3^{8}$ |
$2$ |
$27.712812921102035$ |
$46.035004279893066$ |
|
|
|
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$1428276.4899083953$ |
| 16.0.121...576.171 |
$x^{16} - 8 x^{14} + 4 x^{12} + 88 x^{10} - 86 x^{8} - 392 x^{6} + 748 x^{4} - 392 x^{2} + 361$ |
$16$ |
[0,8] |
$2^{64}\cdot 3^{8}$ |
$2$ |
$27.712812921102035$ |
$46.035004279893066$ |
|
|
|
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$2411147.966199092$ |
| 16.0.121...576.172 |
$x^{16} + 8 x^{14} + 4 x^{12} - 88 x^{10} - 86 x^{8} + 392 x^{6} + 748 x^{4} + 392 x^{2} + 361$ |
$16$ |
[0,8] |
$2^{64}\cdot 3^{8}$ |
$2$ |
$27.712812921102035$ |
$46.035004279893066$ |
|
|
|
$C_2^6:D_4$ (as 16T969) |
trivial |
trivial |
$2$ |
$7$ |
$181950.55563063777$ |
| 16.0.216...625.1 |
$x^{16} - 8 x^{15} + 34 x^{14} - 98 x^{13} + 246 x^{12} - 566 x^{11} + 1142 x^{10} - 1904 x^{9} + 2832 x^{8} - 3842 x^{7} + 4638 x^{6} - 4622 x^{5} + 4216 x^{4} - 3314 x^{3} + 1646 x^{2} - 401 x + 41$ |
$16$ |
[0,8] |
$5^{8}\cdot 29^{4}\cdot 941^{4}$ |
$3$ |
$28.7396786299$ |
$369.3846233940985$ |
✓ |
|
? |
$C_2^6:D_4$ (as 16T969) |
$[2]$ |
$[2]$ |
$2$ |
$7$ |
$36913.3751226$ |
| 16.0.216...625.2 |
$x^{16} + x^{14} - 17 x^{12} - 38 x^{10} + 99 x^{8} + 190 x^{6} + 450 x^{4} + 500 x^{2} + 625$ |
$16$ |
[0,8] |
$5^{8}\cdot 29^{4}\cdot 941^{4}$ |
$3$ |
$28.7396786299$ |
$369.3846233940985$ |
✓ |
|
? |
$C_2^6:D_4$ (as 16T969) |
$[5]$ |
$[5]$ |
$2$ |
$7$ |
$36913.3751226$ |
| 16.8.272...296.4 |
$x^{16} - 8 x^{15} + 24 x^{14} + 8 x^{13} - 296 x^{12} + 904 x^{11} - 640 x^{10} - 2680 x^{9} + 6904 x^{8} - 3080 x^{7} - 10056 x^{6} + 15368 x^{5} - 2276 x^{4} - 11352 x^{3} + 8304 x^{2} + 504 x - 1647$ |
$16$ |
[8,4] |
$2^{62}\cdot 3^{10}$ |
$2$ |
$29.153588361123695$ |
$42.21428505360629$ |
|
|
|
$C_2^6:D_4$ (as 16T969) |
trivial |
$[2]$ |
$2$ |
$11$ |
$4252044.723149569$ |
| 16.8.272...296.5 |
$x^{16} - 8 x^{15} + 16 x^{14} + 16 x^{13} - 64 x^{12} - 80 x^{11} + 408 x^{10} - 272 x^{9} - 622 x^{8} + 944 x^{7} + 456 x^{6} - 1792 x^{5} + 800 x^{4} + 1376 x^{3} - 2192 x^{2} + 1328 x - 314$ |
$16$ |
[8,4] |
$2^{62}\cdot 3^{10}$ |
$2$ |
$29.153588361123695$ |
$42.21428505360629$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
$[2]$ |
$2$ |
$11$ |
$1530775.1726588178$ |
| 16.8.272...296.6 |
$x^{16} - 8 x^{14} + 12 x^{12} - 16 x^{11} - 64 x^{10} + 288 x^{9} + 340 x^{8} - 1152 x^{7} - 848 x^{6} + 1920 x^{5} + 1480 x^{4} - 1120 x^{3} - 1344 x^{2} - 320 x + 4$ |
$16$ |
[8,4] |
$2^{62}\cdot 3^{10}$ |
$2$ |
$29.153588361123695$ |
$42.21428505360629$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
$[2]$ |
$2$ |
$11$ |
$2378884.395013423$ |
| 16.0.272...296.17 |
$x^{16} - 8 x^{15} + 16 x^{14} + 16 x^{13} - 52 x^{12} - 128 x^{11} + 472 x^{10} - 256 x^{9} - 694 x^{8} + 848 x^{7} + 424 x^{6} - 832 x^{5} - 176 x^{4} + 336 x^{3} + 96 x^{2} + 6$ |
$16$ |
[0,8] |
$2^{62}\cdot 3^{10}$ |
$2$ |
$29.153588361123695$ |
$42.21428505360629$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
$[2]$ |
$[2]$ |
$2$ |
$7$ |
$333117.81590909505$ |
| 16.8.272...296.18 |
$x^{16} - 4 x^{12} - 48 x^{10} + 334 x^{8} - 2016 x^{6} + 5100 x^{4} - 3888 x^{2} + 729$ |
$16$ |
[8,4] |
$2^{62}\cdot 3^{10}$ |
$2$ |
$29.153588361123695$ |
$42.21428505360629$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
trivial |
$[2]$ |
$2$ |
$11$ |
$2736124.760360862$ |
| 16.0.272...296.21 |
$x^{16} + 12 x^{12} - 40 x^{10} + 114 x^{8} - 192 x^{6} + 244 x^{4} - 72 x^{2} + 9$ |
$16$ |
[0,8] |
$2^{62}\cdot 3^{10}$ |
$2$ |
$29.153588361123695$ |
$46.035004279893066$ |
|
|
? |
$C_2^6:D_4$ (as 16T969) |
$[2]$ |
$[2]$ |
$2$ |
$7$ |
$135800.84304673856$ |
