| 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 |
| 16.0.23452051025390625.1 |
$x^{16} - 2 x^{15} + 3 x^{14} - 5 x^{12} + 12 x^{11} - 11 x^{10} + 5 x^{9} + 9 x^{8} - 15 x^{7} + 16 x^{6} - 6 x^{5} + 5 x^{3} + 2 x^{2} + x + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{12}\cdot 11^{4}$ |
$3$ |
$10.547178642$ |
$19.208102881010017$ |
|
|
|
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
trivial |
$30$ |
$7$ |
$368.732205225$ |
| 16.0.104976000000000000.4 |
$x^{16} - 2 x^{14} - 2 x^{10} + 9 x^{8} - 8 x^{6} + 5 x^{4} - 3 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$11.5829218529$ |
$16.3807251762544$ |
|
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
trivial |
$30$ |
$7$ |
$820.262147304$ |
| 16.0.234256000000000000.1 |
$x^{16} - 3 x^{14} + 7 x^{10} - x^{8} - 17 x^{6} + 20 x^{4} - 7 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{12}\cdot 11^{4}$ |
$3$ |
$12.1788328563$ |
$22.17960673794632$ |
|
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
trivial |
$20$ |
$7$ |
$831.689883837$ |
| 16.0.675821419082285056.2 |
$x^{16} - 8 x^{14} + 20 x^{12} - 8 x^{10} - 25 x^{8} + 8 x^{6} + 20 x^{4} + 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{48}\cdot 7^{4}$ |
$2$ |
$13.0126124936$ |
$21.166010488516726$ |
|
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
trivial |
$16$ |
$7$ |
$1612.41208378$ |
| 16.0.104...000.4 |
$x^{16} - 6 x^{14} + 15 x^{12} - 14 x^{10} + 9 x^{8} - 14 x^{6} + 15 x^{4} - 6 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 5^{12}$ |
$2$ |
$13.3748060995$ |
$15.905414575341013$ |
|
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
trivial |
$10$ |
$7$ |
$1300.64574502$ |
| 16.0.104...000.8 |
$x^{16} + 6 x^{14} + 15 x^{12} + 14 x^{10} + 9 x^{8} + 14 x^{6} + 15 x^{4} + 6 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 5^{12}$ |
$2$ |
$13.3748060995$ |
$15.905414575341013$ |
|
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
trivial |
$10$ |
$7$ |
$891.023124665$ |
| 16.0.113...625.1 |
$x^{16} - 3 x^{15} + 4 x^{14} - 9 x^{13} + 12 x^{12} + 12 x^{11} + 8 x^{10} - 54 x^{9} - 19 x^{8} + 54 x^{7} + 8 x^{6} - 12 x^{5} + 12 x^{4} + 9 x^{3} + 4 x^{2} + 3 x + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{12}\cdot 29^{4}$ |
$3$ |
$13.4396398271$ |
$31.187971562966524$ |
✓ |
|
|
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
trivial |
$30$ |
$7$ |
$3158.73230855$ |
| 16.0.452...625.1 |
$x^{16} - 3 x^{15} + 7 x^{14} - 6 x^{13} + 3 x^{12} + 6 x^{11} + 14 x^{10} - 48 x^{9} + 113 x^{8} - 96 x^{7} + 56 x^{6} + 48 x^{5} + 48 x^{4} - 192 x^{3} + 448 x^{2} - 384 x + 256$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{12}\cdot 41^{4}$ |
$3$ |
$14.6549416904$ |
$37.083443828241876$ |
✓ |
|
|
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
trivial |
$30$ |
$7$ |
$5126.68171823$ |
| 16.0.113...000.1 |
$x^{16} - x^{14} + 15 x^{12} - 59 x^{10} + 104 x^{8} - 59 x^{6} + 15 x^{4} - x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{12}\cdot 29^{4}$ |
$3$ |
$15.518759344$ |
$36.01276755471423$ |
✓ |
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
trivial |
$20$ |
$7$ |
$6030.858565885209$ |
| 16.8.167...000.1 |
$x^{16} - 8 x^{15} + 22 x^{14} - 12 x^{13} - 38 x^{12} + 20 x^{11} + 58 x^{10} + 24 x^{9} - 90 x^{8} - 24 x^{7} + 58 x^{6} - 20 x^{5} - 38 x^{4} + 12 x^{3} + 22 x^{2} + 8 x + 1$ |
$16$ |
[8,4] |
$2^{36}\cdot 5^{12}$ |
$2$ |
$15.9054145753$ |
$15.905414575341013$ |
|
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
trivial |
$2$ |
$11$ |
$4013.13995968$ |
| 16.0.167...000.2 |
$x^{16} - 8 x^{15} + 26 x^{14} - 40 x^{13} + 38 x^{12} - 56 x^{11} + 102 x^{10} - 76 x^{9} + 27 x^{8} - 28 x^{7} + 138 x^{6} - 220 x^{5} + 200 x^{4} - 112 x^{3} + 40 x^{2} - 8 x + 1$ |
$16$ |
[0,8] |
$2^{36}\cdot 5^{12}$ |
$2$ |
$15.9054145753$ |
$15.905414575341013$ |
|
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[2]$ |
$2$ |
$7$ |
$535.134759484$ |
| 16.0.235...776.10 |
$x^{16} - 8 x^{14} + 32 x^{12} - 88 x^{10} + 193 x^{8} - 352 x^{6} + 512 x^{4} - 512 x^{2} + 256$ |
$16$ |
[0,8] |
$2^{48}\cdot 17^{4}$ |
$2$ |
$16.244345479$ |
$32.984845004941285$ |
✓ |
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[2]$ |
$16$ |
$7$ |
$12675.960502388076$ |
| 16.8.268...000.3 |
$x^{16} - 8 x^{15} + 20 x^{14} - 86 x^{12} + 152 x^{11} - 102 x^{10} + 70 x^{9} - 124 x^{8} + 32 x^{7} + 118 x^{6} - 24 x^{5} - 61 x^{4} - 26 x^{3} + 24 x^{2} + 14 x + 1$ |
$16$ |
[8,4] |
$2^{24}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$16.3807251763$ |
$16.3807251762544$ |
|
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
trivial |
$2$ |
$11$ |
$4291.21744052$ |
| 16.0.268...000.7 |
$x^{16} - 6 x^{15} + 22 x^{14} - 50 x^{13} + 60 x^{12} - 44 x^{11} - 14 x^{10} - 20 x^{9} + 134 x^{8} + 340 x^{7} + 404 x^{6} + 338 x^{5} + 185 x^{4} + 70 x^{3} + 18 x^{2} + 2 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$16.3807251763$ |
$16.3807251762544$ |
|
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[2]$ |
$10$ |
$7$ |
$3681.42951686$ |
| 16.0.268...000.9 |
$x^{16} - 2 x^{15} + 8 x^{14} + 25 x^{12} - 28 x^{11} + 4 x^{10} - 70 x^{9} + 24 x^{8} - 50 x^{7} + 36 x^{6} - 16 x^{5} + 65 x^{4} + 40 x^{3} + 32 x^{2} + 6 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$16.3807251763$ |
$16.3807251762544$ |
|
|
|
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[2]$ |
$6$ |
$7$ |
$2608.06314847$ |
| 16.0.295...256.2 |
$x^{16} - 4 x^{14} + 18 x^{12} + 16 x^{10} - 13 x^{8} + 16 x^{6} + 18 x^{4} - 4 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{52}\cdot 3^{8}$ |
$2$ |
$16.4781371513$ |
$17.969535983364356$ |
|
|
|
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
trivial |
$6$ |
$7$ |
$8226.26385718$ |
| 16.0.295...256.4 |
$x^{16} + 4 x^{14} + 18 x^{12} - 16 x^{10} - 13 x^{8} - 16 x^{6} + 18 x^{4} + 4 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{52}\cdot 3^{8}$ |
$2$ |
$16.4781371513$ |
$17.969535983364356$ |
|
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
trivial |
$6$ |
$7$ |
$3594.85668829$ |
| 16.0.452...000.9 |
$x^{16} + 5 x^{14} + 6 x^{12} - 20 x^{10} - 79 x^{8} - 80 x^{6} + 96 x^{4} + 320 x^{2} + 256$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{12}\cdot 41^{4}$ |
$3$ |
$16.9220690598$ |
$42.82027255342763$ |
✓ |
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[2]$ |
$20$ |
$7$ |
$11629.45174747923$ |
| 16.8.118...024.2 |
$x^{16} - 8 x^{14} + 36 x^{12} - 184 x^{10} + 608 x^{8} - 1120 x^{6} + 1032 x^{4} - 368 x^{2} + 4$ |
$16$ |
[8,4] |
$2^{54}\cdot 3^{8}$ |
$2$ |
$17.9695359834$ |
$17.969535983364356$ |
|
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
trivial |
$2$ |
$11$ |
$17201.2538172$ |
| 16.0.118...024.10 |
$x^{16} + 8 x^{14} + 36 x^{12} + 184 x^{10} + 608 x^{8} + 1120 x^{6} + 1032 x^{4} + 368 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{54}\cdot 3^{8}$ |
$2$ |
$17.9695359834$ |
$17.969535983364356$ |
|
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[2]$ |
$2$ |
$7$ |
$1958.71255202$ |
| 16.8.343...625.1 |
$x^{16} - x^{15} - 11 x^{14} + 3 x^{13} + 44 x^{12} + 41 x^{11} - 104 x^{10} - 193 x^{9} + 91 x^{8} + 320 x^{7} + 145 x^{6} - 110 x^{5} - 255 x^{4} - 175 x^{3} + 50 x^{2} + 100 x + 25$ |
$16$ |
[8,4] |
$3^{8}\cdot 5^{12}\cdot 11^{8}$ |
$3$ |
$19.208102881$ |
$19.208102881010017$ |
|
|
|
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
trivial |
$2$ |
$11$ |
$19871.1900257$ |
| 16.0.343...625.6 |
$x^{16} - x^{15} + 7 x^{14} - 10 x^{13} + 45 x^{12} - 34 x^{11} + 26 x^{10} + 200 x^{9} - 271 x^{8} + 400 x^{7} + 104 x^{6} - 272 x^{5} + 720 x^{4} - 320 x^{3} + 448 x^{2} - 128 x + 256$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{12}\cdot 11^{8}$ |
$3$ |
$19.208102881$ |
$19.208102881010017$ |
|
|
|
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[4]$ |
$6$ |
$7$ |
$3350.16978018$ |
| 16.0.343...625.7 |
$x^{16} - x^{15} + 9 x^{14} - 17 x^{13} + 24 x^{12} - 19 x^{11} - 134 x^{10} + 207 x^{9} - 379 x^{8} - 130 x^{7} + 1805 x^{6} - 2800 x^{5} + 5175 x^{4} - 2625 x^{3} + 3000 x^{2} + 625$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{12}\cdot 11^{8}$ |
$3$ |
$19.208102881$ |
$19.208102881010017$ |
|
|
|
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[4]$ |
$10$ |
$7$ |
$5965.81155927$ |
| 16.0.995...625.3 |
$x^{16} - 2 x^{15} + 18 x^{14} - 34 x^{13} + 146 x^{12} - 228 x^{11} + 553 x^{10} - 377 x^{9} + 42 x^{8} + 1840 x^{7} - 2763 x^{6} + 2409 x^{5} + 1347 x^{4} - 3248 x^{3} + 2576 x^{2} - 360 x + 16$ |
$16$ |
[0,8] |
$5^{12}\cdot 7^{8}\cdot 29^{4}$ |
$3$ |
$20.5293889402$ |
$47.64041348647476$ |
✓ |
|
|
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[2]$ |
$10$ |
$7$ |
$24810.25196814084$ |
| 16.0.162...456.2 |
$x^{16} + 8 x^{14} + 12 x^{12} - 8 x^{10} - 25 x^{8} - 8 x^{6} + 12 x^{4} + 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{48}\cdot 7^{8}$ |
$2$ |
$21.1660104885$ |
$21.166010488516726$ |
|
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[4]$ |
$2$ |
$7$ |
$2739.40413963$ |
| 16.8.162...456.2 |
$x^{16} - 8 x^{14} + 12 x^{12} + 8 x^{10} - 25 x^{8} + 8 x^{6} + 12 x^{4} - 8 x^{2} + 1$ |
$16$ |
[8,4] |
$2^{48}\cdot 7^{8}$ |
$2$ |
$21.1660104885$ |
$21.166010488516726$ |
|
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
trivial |
$2$ |
$11$ |
$50446.3603867$ |
| 16.0.162...456.15 |
$x^{16} - 8 x^{14} + 32 x^{12} - 120 x^{10} + 743 x^{8} - 2856 x^{6} + 6272 x^{4} - 5488 x^{2} + 2401$ |
$16$ |
[0,8] |
$2^{48}\cdot 7^{8}$ |
$2$ |
$21.1660104885$ |
$21.166010488516726$ |
|
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[4]$ |
$8$ |
$7$ |
$7737.15737593$ |
| 16.0.289...000.1 |
$x^{16} + 2 x^{14} + 60 x^{12} + 472 x^{10} + 1664 x^{8} + 1888 x^{6} + 960 x^{4} + 128 x^{2} + 256$ |
$16$ |
[0,8] |
$2^{24}\cdot 5^{12}\cdot 29^{4}$ |
$3$ |
$21.9468399354$ |
$50.92974429446663$ |
✓ |
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[6]$ |
$10$ |
$7$ |
$9192.49654065$ |
| 16.0.289...000.3 |
$x^{16} - 2 x^{14} + 60 x^{12} - 472 x^{10} + 1664 x^{8} - 1888 x^{6} + 960 x^{4} - 128 x^{2} + 256$ |
$16$ |
[0,8] |
$2^{24}\cdot 5^{12}\cdot 29^{4}$ |
$3$ |
$21.9468399354$ |
$50.92974429446663$ |
✓ |
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[3]$ |
$10$ |
$7$ |
$30018.707590913546$ |
| 16.8.342...000.1 |
$x^{16} - 4 x^{14} - 10 x^{12} + 54 x^{10} - x^{8} - 186 x^{6} + 155 x^{4} - 29 x^{2} + 1$ |
$16$ |
[8,4] |
$2^{16}\cdot 5^{12}\cdot 11^{8}$ |
$3$ |
$22.1796067379$ |
$22.17960673794632$ |
|
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
trivial |
$2$ |
$11$ |
$70963.0280068$ |
| 16.0.342...000.2 |
$x^{16} + 13 x^{14} + 50 x^{12} + 68 x^{10} + 49 x^{8} + 272 x^{6} + 800 x^{4} + 832 x^{2} + 256$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{12}\cdot 11^{8}$ |
$3$ |
$22.1796067379$ |
$22.17960673794632$ |
|
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[4]$ |
$4$ |
$7$ |
$4753.15228431$ |
| 16.0.342...000.7 |
$x^{16} + 9 x^{14} - 329 x^{10} - 1141 x^{8} + 1771 x^{6} + 16940 x^{4} + 25289 x^{2} + 14641$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{12}\cdot 11^{8}$ |
$3$ |
$22.1796067379$ |
$22.17960673794632$ |
|
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[4]$ |
$10$ |
$7$ |
$13401.1589099$ |
| 16.0.397...625.2 |
$x^{16} - 2 x^{15} + 12 x^{14} - 16 x^{13} + 68 x^{12} - 90 x^{11} + 301 x^{10} - 323 x^{9} + 348 x^{8} - 1706 x^{7} + 1299 x^{6} + 1377 x^{5} + 7083 x^{4} + 448 x^{3} - 472 x^{2} - 4488 x + 1936$ |
$16$ |
[0,8] |
$5^{12}\cdot 7^{8}\cdot 41^{4}$ |
$3$ |
$22.3857932005$ |
$56.645896124187125$ |
✓ |
|
|
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[3]$ |
$10$ |
$7$ |
$36089.17707959386$ |
| 16.0.964...896.1 |
$x^{16} - 4 x^{14} + 6 x^{12} - 8 x^{10} + 20 x^{8} - 32 x^{6} + 96 x^{4} - 256 x^{2} + 256$ |
$16$ |
[0,8] |
$2^{44}\cdot 3^{8}\cdot 17^{4}$ |
$3$ |
$23.6594882004$ |
$48.041612522821204$ |
✓ |
|
|
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[2]$ |
$6$ |
$7$ |
$47473.35682934556$ |
| 16.0.964...896.2 |
$x^{16} + 4 x^{14} + 6 x^{12} + 8 x^{10} + 20 x^{8} + 32 x^{6} + 96 x^{4} + 256 x^{2} + 256$ |
$16$ |
[0,8] |
$2^{44}\cdot 3^{8}\cdot 17^{4}$ |
$3$ |
$23.6594882004$ |
$48.041612522821204$ |
✓ |
|
|
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[3]$ |
$6$ |
$7$ |
$68648.93665828371$ |
| 16.0.115...000.2 |
$x^{16} - 6 x^{15} - 3 x^{14} + 72 x^{13} - 48 x^{12} - 366 x^{11} + 432 x^{10} + 876 x^{9} - 855 x^{8} - 4176 x^{7} + 8024 x^{6} - 5328 x^{5} + 5272 x^{4} - 672 x^{3} + 992 x^{2} + 16$ |
$16$ |
[0,8] |
$2^{24}\cdot 5^{12}\cdot 41^{4}$ |
$3$ |
$23.9314195678$ |
$60.55701018956975$ |
✓ |
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[2]$ |
$10$ |
$7$ |
$45664.5166523$ |
| 16.0.115...000.10 |
$x^{16} - 4 x^{15} + 4 x^{14} - 14 x^{13} + 104 x^{12} - 276 x^{11} + 193 x^{10} - 882 x^{9} + 4771 x^{8} - 8760 x^{7} + 11598 x^{6} - 10512 x^{5} + 7364 x^{4} - 3520 x^{3} + 1080 x^{2} - 192 x + 16$ |
$16$ |
[0,8] |
$2^{24}\cdot 5^{12}\cdot 41^{4}$ |
$3$ |
$23.9314195678$ |
$60.55701018956975$ |
✓ |
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[4]$ |
$10$ |
$7$ |
$43415.47226272331$ |
| 16.0.742...000.1 |
$x^{16} + 24 x^{12} + 90 x^{10} + 206 x^{8} + 840 x^{6} + 2049 x^{4} + 2250 x^{2} + 961$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4}$ |
$4$ |
$26.8792796542$ |
$62.37594312593305$ |
✓ |
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[2, 8]$ |
$2$ |
$7$ |
$3121.7160225$ |
| 16.16.742...000.1 |
$x^{16} - 22 x^{14} + 165 x^{12} - 517 x^{10} + 774 x^{8} - 583 x^{6} + 215 x^{4} - 33 x^{2} + 1$ |
$16$ |
[16,0] |
$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4}$ |
$4$ |
$26.8792796542$ |
$62.37594312593305$ |
|
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
trivial |
$2$ |
$15$ |
$1366686.04982$ |
| 16.0.742...000.5 |
$x^{16} - 3 x^{14} - 3 x^{10} + 29 x^{8} - 12 x^{6} - 192 x^{2} + 256$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4}$ |
$4$ |
$26.8792796542$ |
$62.37594312593305$ |
✓ |
|
|
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[2, 4]$ |
$6$ |
$7$ |
$65327.82253203762$ |
| 16.0.742...000.6 |
$x^{16} + 28 x^{14} + 280 x^{12} + 1238 x^{10} + 2394 x^{8} + 1852 x^{6} + 565 x^{4} + 62 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4}$ |
$4$ |
$26.879279654178564$ |
$62.37594312593305$ |
✓ |
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[4, 4]$ |
$4$ |
$7$ |
$6317.464617091162$ |
| 16.0.742...000.7 |
$x^{16} - 6 x^{15} + 25 x^{14} - 60 x^{13} + 174 x^{12} - 246 x^{11} + 1007 x^{10} - 930 x^{9} + 3521 x^{8} - 8856 x^{7} + 15857 x^{6} - 15762 x^{5} + 12234 x^{4} - 4482 x^{3} + 1651 x^{2} - 528 x + 121$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4}$ |
$4$ |
$26.879279654178564$ |
$62.37594312593305$ |
✓ |
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[2, 8]$ |
$10$ |
$7$ |
$25605.136330853085$ |
| 16.0.742...000.8 |
$x^{16} - 3 x^{14} - 16 x^{12} + 43 x^{10} + 111 x^{8} - 365 x^{6} + 600 x^{4} - 875 x^{2} + 625$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4}$ |
$4$ |
$26.879279654178564$ |
$62.37594312593305$ |
✓ |
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[2, 2, 2]$ |
$10$ |
$7$ |
$61316.45021717212$ |
| 16.0.742...000.9 |
$x^{16} + 15 x^{14} + 155 x^{12} + 850 x^{10} + 3375 x^{8} + 6250 x^{6} + 8250 x^{4} + 2500 x^{2} + 625$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4}$ |
$4$ |
$26.879279654178564$ |
$62.37594312593305$ |
✓ |
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[2, 8]$ |
$6$ |
$7$ |
$12061.717131770418$ |
| 16.0.742...000.10 |
$x^{16} - 15 x^{14} + 86 x^{12} - 180 x^{10} + 201 x^{8} - 540 x^{6} + 686 x^{4} - 75 x^{2} + 961$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4}$ |
$4$ |
$26.879279654178564$ |
$62.37594312593305$ |
✓ |
|
|
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[2, 4]$ |
$4$ |
$7$ |
$49350.73567008229$ |
| 16.0.742...000.12 |
$x^{16} + 10 x^{14} + 61 x^{12} + 335 x^{10} + 846 x^{8} + 3445 x^{6} + 14551 x^{4} + 12635 x^{2} + 130321$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4}$ |
$4$ |
$26.879279654178564$ |
$62.37594312593305$ |
✓ |
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[4, 4]$ |
$20$ |
$7$ |
$65327.82253203762$ |
| 16.0.742...000.13 |
$x^{16} + 3 x^{14} - 25 x^{12} - 362 x^{10} - 381 x^{8} + 2842 x^{6} + 25230 x^{4} + 195112 x^{2} + 707281$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4}$ |
$4$ |
$26.879279654178564$ |
$62.37594312593305$ |
✓ |
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[2, 8]$ |
$30$ |
$7$ |
$49350.73567008229$ |
| 16.0.140...625.3 |
$x^{16} - 2 x^{15} - 22 x^{14} + 36 x^{13} + 246 x^{12} - 388 x^{11} - 1377 x^{10} + 1833 x^{9} + 5767 x^{8} - 7290 x^{7} - 11463 x^{6} + 13939 x^{5} + 9762 x^{4} - 26328 x^{3} + 10961 x^{2} + 64805 x + 36451$ |
$16$ |
[0,8] |
$5^{12}\cdot 13^{8}\cdot 29^{4}$ |
$3$ |
$27.976841273122655$ |
$64.92293999494403$ |
✓ |
|
|
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[14]$ |
$10$ |
$7$ |
$25449.021741450248$ |
| 16.16.154...336.1 |
$x^{16} - 24 x^{14} + 212 x^{12} - 872 x^{10} + 1815 x^{8} - 1928 x^{6} + 996 x^{4} - 200 x^{2} + 1$ |
$16$ |
[16,0] |
$2^{48}\cdot 3^{8}\cdot 17^{4}$ |
$3$ |
$28.1360317052$ |
$57.1314274283428$ |
|
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
trivial |
$2$ |
$15$ |
$2303192.1907$ |
| 16.0.154...336.1 |
$x^{16} + 8 x^{14} + 100 x^{12} + 448 x^{10} + 945 x^{8} + 896 x^{6} + 400 x^{4} + 64 x^{2} + 16$ |
$16$ |
[0,8] |
$2^{48}\cdot 3^{8}\cdot 17^{4}$ |
$3$ |
$28.1360317052$ |
$57.1314274283428$ |
✓ |
|
? |
$C_2 \times (C_2^2:C_4)$ (as 16T21) |
$[2, 12]$ |
$2$ |
$7$ |
$11964.3106427$ |
