| 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 |
Unit signature rank |
Max $p$ |
| 16.0.429...000.1 |
$x^{16} + 4 x^{14} + 14 x^{12} + 48 x^{10} + 164 x^{8} + 96 x^{6} + 56 x^{4} + 32 x^{2} + 16$ |
$16$ |
(0, 8) |
$2^{44}\cdot 5^{12}$ |
$2$ |
$22.4936530076$ |
$22.493653007613965$ |
✓ |
✓ |
? |
$C_4^2$ (as 16T4) |
$[5]$ |
$[5]$ |
$10$ |
$7$ |
$12198.9512748$ |
$0$ |
$5$ |
| 16.0.429...000.2 |
$x^{16} - 4 x^{14} + 14 x^{12} - 48 x^{10} + 164 x^{8} - 96 x^{6} + 56 x^{4} - 32 x^{2} + 16$ |
$16$ |
(0, 8) |
$2^{44}\cdot 5^{12}$ |
$2$ |
$22.4936530076$ |
$22.493653007613965$ |
✓ |
✓ |
? |
$C_4^2$ (as 16T4) |
trivial |
trivial |
$10$ |
$7$ |
$42649.7127656$ |
$0$ |
$5$ |
| 16.0.568...625.1 |
$x^{16} - x^{15} - x^{14} + 7 x^{13} - 12 x^{12} + 13 x^{11} + 42 x^{10} - 137 x^{9} + 141 x^{8} + 262 x^{7} + 269 x^{6} + 182 x^{5} - 95 x^{4} + 21 x^{3} + 90 x^{2} + 108 x + 81$ |
$16$ |
(0, 8) |
$5^{12}\cdot 13^{12}$ |
$2$ |
$22.8920674829$ |
$22.892067482851036$ |
✓ |
✓ |
|
$C_4^2$ (as 16T4) |
trivial |
trivial |
$10$ |
$7$ |
$68071.7952641$ |
$0$ |
$13$ |
| 16.16.687...000.1 |
$x^{16} - 16 x^{14} + 104 x^{12} - 352 x^{10} + 659 x^{8} - 664 x^{6} + 316 x^{4} - 48 x^{2} + 1$ |
$16$ |
(16, 0) |
$2^{48}\cdot 5^{12}$ |
$2$ |
$26.7496121991$ |
$26.74961219905688$ |
|
✓ |
✓ |
$C_4^2$ (as 16T4) |
trivial |
$[2]$ |
$2$ |
$15$ |
$1483566.93289$ |
$15$ |
$5$ |
| 16.0.687...000.2 |
$x^{16} + 16 x^{14} + 104 x^{12} + 352 x^{10} + 659 x^{8} + 664 x^{6} + 316 x^{4} + 48 x^{2} + 1$ |
$16$ |
(0, 8) |
$2^{48}\cdot 5^{12}$ |
$2$ |
$26.7496121991$ |
$26.74961219905688$ |
✓ |
✓ |
✓ |
$C_4^2$ (as 16T4) |
$[10]$ |
$[10]$ |
$2$ |
$7$ |
$3557.06767863$ |
$0$ |
$5$ |
| 16.0.142...625.1 |
$x^{16} - x^{15} + 7 x^{14} - 12 x^{13} + 52 x^{12} + 55 x^{11} + 238 x^{10} + 156 x^{9} + 1275 x^{8} - 156 x^{7} + 238 x^{6} - 55 x^{5} + 52 x^{4} + 12 x^{3} + 7 x^{2} + x + 1$ |
$16$ |
(0, 8) |
$5^{12}\cdot 17^{12}$ |
$2$ |
$27.9939507549$ |
$27.99395075493803$ |
✓ |
✓ |
|
$C_4^2$ (as 16T4) |
$[5]$ |
$[5]$ |
$10$ |
$7$ |
$55081.0821685$ |
$0$ |
$17$ |
| 16.16.281...000.1 |
$x^{16} - 28 x^{14} + 266 x^{12} - 1104 x^{10} + 2264 x^{8} - 2352 x^{6} + 1184 x^{4} - 256 x^{2} + 16$ |
$16$ |
(16, 0) |
$2^{44}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$38.960149857$ |
$38.96014985701187$ |
|
✓ |
|
$C_4^2$ (as 16T4) |
trivial |
$[2, 2, 2]$ |
$2$ |
$15$ |
$38555497.5279$ |
$13$ |
$5$ |
| 16.16.281...000.2 |
$x^{16} - 4 x^{15} - 26 x^{14} + 116 x^{13} + 193 x^{12} - 1108 x^{11} - 316 x^{10} + 4348 x^{9} - 1044 x^{8} - 7132 x^{7} + 2894 x^{6} + 4760 x^{5} - 2020 x^{4} - 1036 x^{3} + 348 x^{2} + 56 x + 1$ |
$16$ |
(16, 0) |
$2^{44}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$38.960149857$ |
$38.96014985701187$ |
|
✓ |
? |
$C_4^2$ (as 16T4) |
trivial |
$[2, 2]$ |
$2$ |
$15$ |
$33542030.6703$ |
$14$ |
$5$ |
| 16.0.281...000.3 |
$x^{16} + 12 x^{14} + 126 x^{12} + 1296 x^{10} + 13284 x^{8} + 23328 x^{6} + 40824 x^{4} + 69984 x^{2} + 104976$ |
$16$ |
(0, 8) |
$2^{44}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$38.960149857$ |
$38.96014985701187$ |
✓ |
✓ |
? |
$C_4^2$ (as 16T4) |
$[4, 8]$ |
$[4, 8]$ |
$10$ |
$7$ |
$135099.315411$ |
$0$ |
$5$ |
| 16.0.281...000.4 |
$x^{16} + 28 x^{14} + 266 x^{12} + 1104 x^{10} + 2264 x^{8} + 2352 x^{6} + 1184 x^{4} + 256 x^{2} + 16$ |
$16$ |
(0, 8) |
$2^{44}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$38.960149857$ |
$38.96014985701187$ |
✓ |
✓ |
|
$C_4^2$ (as 16T4) |
$[10, 10]$ |
$[10, 10]$ |
$2$ |
$7$ |
$16694.3932435$ |
$0$ |
$5$ |
| 16.0.281...000.5 |
$x^{16} - 12 x^{14} + 126 x^{12} - 1296 x^{10} + 13284 x^{8} - 23328 x^{6} + 40824 x^{4} - 69984 x^{2} + 104976$ |
$16$ |
(0, 8) |
$2^{44}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$38.960149857$ |
$38.96014985701187$ |
✓ |
✓ |
? |
$C_4^2$ (as 16T4) |
$[2, 10]$ |
$[2, 10]$ |
$10$ |
$7$ |
$410912.925383$ |
$0$ |
$5$ |
| 16.0.281...000.6 |
$x^{16} - 4 x^{15} + 6 x^{14} + 4 x^{13} + 25 x^{12} - 180 x^{11} + 380 x^{10} - 148 x^{9} - 468 x^{8} + 932 x^{7} + 398 x^{6} - 8760 x^{5} + 32372 x^{4} - 47628 x^{3} + 35356 x^{2} - 20536 x + 22801$ |
$16$ |
(0, 8) |
$2^{44}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$38.960149857$ |
$38.96014985701187$ |
✓ |
✓ |
? |
$C_4^2$ (as 16T4) |
$[4, 8]$ |
$[4, 8]$ |
$2$ |
$7$ |
$16694.3932435$ |
$0$ |
$5$ |
| 16.16.373...625.1 |
$x^{16} - x^{15} - 38 x^{14} + 18 x^{13} + 535 x^{12} + 24 x^{11} - 3437 x^{10} - 1638 x^{9} + 10110 x^{8} + 7313 x^{7} - 13981 x^{6} - 12302 x^{5} + 8419 x^{4} + 8699 x^{3} - 1399 x^{2} - 2083 x - 179$ |
$16$ |
(16, 0) |
$3^{8}\cdot 5^{12}\cdot 13^{12}$ |
$3$ |
$39.6502239706$ |
$39.65022397059337$ |
|
✓ |
|
$C_4^2$ (as 16T4) |
trivial |
$[2, 2]$ |
$2$ |
$15$ |
$36293972.0338$ |
$14$ |
$13$ |
| 16.0.373...625.2 |
$x^{16} - 11 x^{14} - 12 x^{13} + 83 x^{12} - 96 x^{11} + 219 x^{10} - 294 x^{9} + 1304 x^{8} - 3846 x^{7} + 1788 x^{6} + 1980 x^{5} - 7933 x^{4} + 10752 x^{3} + 26944 x^{2} - 27624 x + 15856$ |
$16$ |
(0, 8) |
$3^{8}\cdot 5^{12}\cdot 13^{12}$ |
$3$ |
$39.6502239706$ |
$39.65022397059337$ |
✓ |
✓ |
|
$C_4^2$ (as 16T4) |
$[2, 26]$ |
$[2, 26]$ |
$2$ |
$7$ |
$49732.9681714$ |
$0$ |
$13$ |
| 16.0.373...625.3 |
$x^{16} - x^{15} + 12 x^{14} - 32 x^{13} + 170 x^{12} + 559 x^{11} + 1563 x^{10} + 3152 x^{9} + 8500 x^{8} + 10428 x^{7} + 13659 x^{6} + 15093 x^{5} + 15804 x^{4} - 3996 x^{3} + 1026 x^{2} - 243 x + 81$ |
$16$ |
(0, 8) |
$3^{8}\cdot 5^{12}\cdot 13^{12}$ |
$3$ |
$39.6502239706$ |
$39.65022397059337$ |
✓ |
✓ |
|
$C_4^2$ (as 16T4) |
$[2, 26]$ |
$[2, 26]$ |
$10$ |
$7$ |
$114579.196923$ |
$0$ |
$13$ |
| 16.0.863...625.1 |
$x^{16} - x^{15} - 3 x^{14} - 13 x^{13} + 22 x^{12} - 241 x^{11} + 482 x^{10} + 341 x^{9} + 2045 x^{8} - 7506 x^{7} + 18249 x^{6} - 36968 x^{5} + 67057 x^{4} - 111527 x^{3} + 162932 x^{2} - 243340 x + 279841$ |
$16$ |
(0, 8) |
$5^{12}\cdot 29^{12}$ |
$2$ |
$41.7855383348$ |
$41.78553833475025$ |
✓ |
✓ |
|
$C_4^2$ (as 16T4) |
$[2, 4]$ |
$[2, 4]$ |
$10$ |
$7$ |
$805904.787678$ |
$0$ |
$29$ |
| 16.0.372...000.2 |
$x^{16} - 4 x^{15} - 6 x^{14} + 58 x^{13} - 12 x^{12} - 198 x^{11} + 132 x^{10} + 62 x^{9} + 2251 x^{8} + 1998 x^{7} - 3846 x^{6} + 1288 x^{5} - 12245 x^{4} + 3244 x^{3} + 52255 x^{2} - 57018 x + 26861$ |
$16$ |
(0, 8) |
$2^{16}\cdot 5^{12}\cdot 13^{12}$ |
$3$ |
$45.7841349657$ |
$45.78413496570207$ |
✓ |
✓ |
? |
$C_4^2$ (as 16T4) |
$[4, 8]$ |
$[4, 8]$ |
$2$ |
$7$ |
$103848.79652840877$ |
$0$ |
$13$ |
| 16.16.372...000.2 |
$x^{16} - 36 x^{14} + 484 x^{12} - 3122 x^{10} + 10204 x^{8} - 16444 x^{6} + 11821 x^{4} - 3408 x^{2} + 256$ |
$16$ |
(16, 0) |
$2^{16}\cdot 5^{12}\cdot 13^{12}$ |
$3$ |
$45.7841349657$ |
$45.78413496570207$ |
|
✓ |
|
$C_4^2$ (as 16T4) |
trivial |
$[2, 2, 2, 2]$ |
$2$ |
$15$ |
$282140909.0828575$ |
$12$ |
$13$ |
| 16.0.372...000.3 |
$x^{16} + 13 x^{14} + 156 x^{12} + 1859 x^{10} + 22139 x^{8} + 24167 x^{6} + 26364 x^{4} + 28561 x^{2} + 28561$ |
$16$ |
(0, 8) |
$2^{16}\cdot 5^{12}\cdot 13^{12}$ |
$3$ |
$45.7841349657$ |
$45.78413496570207$ |
✓ |
✓ |
? |
$C_4^2$ (as 16T4) |
$[4, 8]$ |
$[4, 8]$ |
$10$ |
$7$ |
$426560.11687903176$ |
$0$ |
$13$ |
| 16.0.409...096.1 |
$x^{16} - 4 x^{15} + 30 x^{14} - 68 x^{13} + 273 x^{12} - 468 x^{11} + 1236 x^{10} - 1660 x^{9} + 2356 x^{8} - 3756 x^{7} + 4134 x^{6} - 1280 x^{5} + 1444 x^{4} - 4436 x^{3} - 4652 x^{2} + 3912 x + 4241$ |
$16$ |
(0, 8) |
$2^{44}\cdot 13^{12}$ |
$2$ |
$46.056401484$ |
$46.05640148399133$ |
✓ |
✓ |
? |
$C_4^2$ (as 16T4) |
$[5]$ |
$[5]$ |
$2$ |
$7$ |
$427842.96491379576$ |
$0$ |
$13$ |
| 16.0.409...096.2 |
$x^{16} - 4 x^{15} - 2 x^{14} + 44 x^{13} - 39 x^{12} - 52 x^{11} + 220 x^{10} - 108 x^{9} + 1364 x^{8} - 44 x^{7} + 998 x^{6} + 3472 x^{5} - 8980 x^{4} - 3988 x^{3} + 21012 x^{2} - 6952 x + 6241$ |
$16$ |
(0, 8) |
$2^{44}\cdot 13^{12}$ |
$2$ |
$46.056401484$ |
$46.05640148399133$ |
✓ |
✓ |
? |
$C_4^2$ (as 16T4) |
$[5, 5]$ |
$[5, 5]$ |
$2$ |
$7$ |
$108889.88555195347$ |
$0$ |
$13$ |
| 16.16.450...000.2 |
$x^{16} - 48 x^{14} + 936 x^{12} - 9504 x^{10} + 53379 x^{8} - 161352 x^{6} + 230364 x^{4} - 104976 x^{2} + 6561$ |
$16$ |
(16, 0) |
$2^{48}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$46.3316874115$ |
$46.331687411530766$ |
|
✓ |
? |
$C_4^2$ (as 16T4) |
$[2]$ |
$[2, 2, 2]$ |
$2$ |
$15$ |
$79148282.00629146$ |
$14$ |
$5$ |
| 16.0.450...000.5 |
$x^{16} - 8 x^{14} - 4 x^{12} + 96 x^{10} + 299 x^{8} + 648 x^{6} + 2984 x^{4} - 656 x^{2} + 6241$ |
$16$ |
(0, 8) |
$2^{48}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$46.3316874115$ |
$46.331687411530766$ |
✓ |
✓ |
|
$C_4^2$ (as 16T4) |
$[2, 2, 10]$ |
$[2, 2, 10]$ |
$2$ |
$7$ |
$135099.31541107458$ |
$0$ |
$5$ |
| 16.0.450...000.6 |
$x^{16} + 8 x^{14} - 4 x^{12} - 96 x^{10} + 299 x^{8} - 648 x^{6} + 2984 x^{4} + 656 x^{2} + 6241$ |
$16$ |
(0, 8) |
$2^{48}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$46.3316874115$ |
$46.331687411530766$ |
✓ |
✓ |
|
$C_4^2$ (as 16T4) |
$[2, 2, 2, 10]$ |
$[2, 2, 2, 10]$ |
$2$ |
$7$ |
$85299.42553126559$ |
$0$ |
$5$ |
| 16.0.450...000.7 |
$x^{16} + 48 x^{14} + 936 x^{12} + 9504 x^{10} + 53379 x^{8} + 161352 x^{6} + 230364 x^{4} + 104976 x^{2} + 6561$ |
$16$ |
(0, 8) |
$2^{48}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$46.3316874115$ |
$46.331687411530766$ |
✓ |
✓ |
? |
$C_4^2$ (as 16T4) |
$[2, 8, 40]$ |
$[2, 8, 40]$ |
$2$ |
$7$ |
$7114.135357253273$ |
$0$ |
$5$ |
| 16.0.450...000.12 |
$x^{16} - 24 x^{14} + 204 x^{12} - 768 x^{10} + 1739 x^{8} - 4536 x^{6} + 18216 x^{4} - 35952 x^{2} + 39601$ |
$16$ |
(0, 8) |
$2^{48}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$46.3316874115$ |
$46.331687411530766$ |
✓ |
✓ |
? |
$C_4^2$ (as 16T4) |
$[2, 2, 2]$ |
$[2, 2, 2]$ |
$2$ |
$7$ |
$410912.9253825158$ |
$0$ |
$5$ |
| 16.0.450...000.13 |
$x^{16} + 24 x^{14} + 204 x^{12} + 768 x^{10} + 1739 x^{8} + 4536 x^{6} + 18216 x^{4} + 35952 x^{2} + 39601$ |
$16$ |
(0, 8) |
$2^{48}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$46.3316874115$ |
$46.331687411530766$ |
✓ |
✓ |
? |
$C_4^2$ (as 16T4) |
$[2, 8, 16]$ |
$[2, 8, 16]$ |
$2$ |
$7$ |
$12198.951274811623$ |
$0$ |
$5$ |
| 16.16.933...625.1 |
$x^{16} - 43 x^{14} - 16 x^{13} + 648 x^{12} + 346 x^{11} - 4475 x^{10} - 2665 x^{9} + 15456 x^{8} + 9019 x^{7} - 26965 x^{6} - 13913 x^{5} + 21775 x^{4} + 8755 x^{3} - 5992 x^{2} - 1571 x - 89$ |
$16$ |
(16, 0) |
$3^{8}\cdot 5^{12}\cdot 17^{12}$ |
$3$ |
$48.4869450121$ |
$48.486945012133795$ |
|
✓ |
|
$C_4^2$ (as 16T4) |
trivial |
$[2, 2]$ |
$2$ |
$15$ |
$179468398.8534908$ |
$14$ |
$17$ |
| 16.0.933...625.1 |
$x^{16} - x^{15} + 10 x^{14} + 2 x^{13} + 5 x^{12} + 206 x^{11} + 21 x^{10} + 179 x^{9} + 1811 x^{8} + 919 x^{7} + 18978 x^{6} + 10441 x^{5} + 59108 x^{4} - 125819 x^{3} - 212699 x^{2} - 102242 x + 1079671$ |
$16$ |
(0, 8) |
$3^{8}\cdot 5^{12}\cdot 17^{12}$ |
$3$ |
$48.4869450121$ |
$48.486945012133795$ |
✓ |
✓ |
|
$C_4^2$ (as 16T4) |
$[10, 10]$ |
$[10, 10]$ |
$2$ |
$7$ |
$76496.79137714463$ |
$0$ |
$17$ |
| 16.0.933...625.3 |
$x^{16} - x^{15} - 10 x^{14} + 22 x^{13} + 35 x^{12} + 106 x^{11} + 51 x^{10} - 2326 x^{9} + 51 x^{8} + 20074 x^{7} - 6222 x^{6} - 93589 x^{5} + 179453 x^{4} - 200044 x^{3} - 1543984 x^{2} + 140608 x + 7311616$ |
$16$ |
(0, 8) |
$3^{8}\cdot 5^{12}\cdot 17^{12}$ |
$3$ |
$48.4869450121$ |
$48.486945012133795$ |
✓ |
✓ |
|
$C_4^2$ (as 16T4) |
$[2, 10]$ |
$[2, 10]$ |
$10$ |
$7$ |
$886036.8840713138$ |
$0$ |
$17$ |
| 16.0.160...625.1 |
$x^{16} - x^{15} - 4 x^{14} + 2 x^{13} - 24 x^{12} - 193 x^{11} + 495 x^{10} + 540 x^{9} - 488 x^{8} + 3780 x^{7} + 24255 x^{6} - 66199 x^{5} - 57624 x^{4} + 33614 x^{3} - 470596 x^{2} - 823543 x + 5764801$ |
$16$ |
(0, 8) |
$5^{12}\cdot 37^{12}$ |
$2$ |
$50.16245652$ |
$50.162456519951824$ |
✓ |
✓ |
|
$C_4^2$ (as 16T4) |
$[5, 5]$ |
$[5, 5]$ |
$10$ |
$7$ |
$1484842.58736$ |
$0$ |
$37$ |
| 16.0.550...625.1 |
$x^{16} - x^{15} + 16 x^{14} - 49 x^{13} + 311 x^{12} + 1323 x^{11} + 4288 x^{10} + 9763 x^{9} + 31987 x^{8} + 42566 x^{7} + 49432 x^{6} + 52344 x^{5} + 50896 x^{4} + 14752 x^{3} + 4224 x^{2} + 1152 x + 256$ |
$16$ |
(0, 8) |
$5^{12}\cdot 41^{12}$ |
$2$ |
$54.1770552722$ |
$54.17705527224281$ |
✓ |
✓ |
|
$C_4^2$ (as 16T4) |
$[4, 20]$ |
$[4, 20]$ |
$10$ |
$7$ |
$1050930.24893$ |
$0$ |
$41$ |
| 16.0.655...536.1 |
$x^{16} + 40 x^{14} + 572 x^{12} + 3680 x^{10} + 11579 x^{8} + 18232 x^{6} + 13832 x^{4} + 4688 x^{2} + 529$ |
$16$ |
(0, 8) |
$2^{48}\cdot 13^{12}$ |
$2$ |
$54.7706003362$ |
$54.770600336184366$ |
✓ |
✓ |
? |
$C_4^2$ (as 16T4) |
$[5, 5, 10]$ |
$[5, 5, 10]$ |
$2$ |
$7$ |
$109807.01911694401$ |
$0$ |
$13$ |
| 16.16.655...536.1 |
$x^{16} - 40 x^{14} + 572 x^{12} - 3680 x^{10} + 11579 x^{8} - 18232 x^{6} + 13832 x^{4} - 4688 x^{2} + 529$ |
$16$ |
(16, 0) |
$2^{48}\cdot 13^{12}$ |
$2$ |
$54.7706003362$ |
$54.770600336184366$ |
|
✓ |
? |
$C_4^2$ (as 16T4) |
trivial |
$[2]$ |
$2$ |
$15$ |
$411384624.9155599$ |
$15$ |
$13$ |
| 16.16.932...000.1 |
$x^{16} - 4 x^{15} - 38 x^{14} + 142 x^{13} + 512 x^{12} - 1790 x^{11} - 3022 x^{10} + 10314 x^{9} + 8440 x^{8} - 29394 x^{7} - 11572 x^{6} + 41790 x^{5} + 8077 x^{4} - 27422 x^{3} - 3558 x^{2} + 6564 x + 956$ |
$16$ |
(16, 0) |
$2^{16}\cdot 5^{12}\cdot 17^{12}$ |
$3$ |
$55.9879015099$ |
$55.98790150987606$ |
|
✓ |
|
$C_4^2$ (as 16T4) |
trivial |
$[2, 2, 2, 2]$ |
$2$ |
$15$ |
$1218421193.9371946$ |
$12$ |
$17$ |
| 16.0.932...000.2 |
$x^{16} - 17 x^{14} + 221 x^{12} - 2601 x^{10} + 29189 x^{8} - 176868 x^{6} + 1021904 x^{4} - 5345344 x^{2} + 21381376$ |
$16$ |
(0, 8) |
$2^{16}\cdot 5^{12}\cdot 17^{12}$ |
$3$ |
$55.9879015099$ |
$55.98790150987606$ |
✓ |
✓ |
? |
$C_4^2$ (as 16T4) |
$[4, 8]$ |
$[4, 8]$ |
$10$ |
$7$ |
$2001852.022248575$ |
$0$ |
$17$ |
| 16.0.932...000.3 |
$x^{16} + 24 x^{14} + 264 x^{12} + 1218 x^{10} - 1666 x^{8} - 20064 x^{6} + 52041 x^{4} - 1878 x^{2} + 3481$ |
$16$ |
(0, 8) |
$2^{16}\cdot 5^{12}\cdot 17^{12}$ |
$3$ |
$55.9879015099$ |
$55.98790150987606$ |
✓ |
✓ |
? |
$C_4^2$ (as 16T4) |
$[4, 40]$ |
$[4, 40]$ |
$2$ |
$7$ |
$229864.8182635129$ |
$0$ |
$17$ |
| 16.16.102...576.1 |
$x^{16} - 4 x^{15} - 34 x^{14} + 128 x^{13} + 405 x^{12} - 1432 x^{11} - 2170 x^{10} + 7268 x^{9} + 5686 x^{8} - 17924 x^{7} - 7538 x^{6} + 21352 x^{5} + 4801 x^{4} - 10640 x^{3} - 1282 x^{2} + 1124 x + 191$ |
$16$ |
(16, 0) |
$2^{44}\cdot 17^{12}$ |
$2$ |
$56.3208472131$ |
$56.32084721305108$ |
|
✓ |
|
$C_4^2$ (as 16T4) |
trivial |
$[2, 2, 2]$ |
$2$ |
$15$ |
$1179476773.631501$ |
$13$ |
$17$ |
| 16.0.102...576.2 |
$x^{16} - 4 x^{15} - 2 x^{14} + 16 x^{13} + 77 x^{12} - 152 x^{11} - 34 x^{10} - 444 x^{9} - 914 x^{8} + 2364 x^{7} + 9326 x^{6} + 8376 x^{5} + 56089 x^{4} - 6224 x^{3} + 48294 x^{2} - 540 x + 29207$ |
$16$ |
(0, 8) |
$2^{44}\cdot 17^{12}$ |
$2$ |
$56.3208472131$ |
$56.32084721305108$ |
✓ |
✓ |
|
$C_4^2$ (as 16T4) |
$[4, 52]$ |
$[4, 52]$ |
$2$ |
$7$ |
$103646.40189541418$ |
$0$ |
$17$ |
| 16.0.135...041.2 |
$x^{16} - 19 x^{14} - 28 x^{13} + 176 x^{12} + 178 x^{11} - 389 x^{10} - 1671 x^{9} + 3890 x^{8} + 9181 x^{7} + 8065 x^{6} - 17091 x^{5} - 27083 x^{4} + 27781 x^{3} + 45006 x^{2} - 36777 x + 23699$ |
$16$ |
(0, 8) |
$13^{12}\cdot 17^{12}$ |
$2$ |
$57.3184193184$ |
$57.318419318377835$ |
✓ |
✓ |
|
$C_4^2$ (as 16T4) |
$[2, 2, 10]$ |
$[2, 2, 10]$ |
$2$ |
$7$ |
$534329.701793$ |
$0$ |
$17$ |
| 16.16.247...000.1 |
$x^{16} - 48 x^{14} + 696 x^{12} - 4184 x^{10} + 11384 x^{8} - 13472 x^{6} + 5864 x^{4} - 736 x^{2} + 16$ |
$16$ |
(16, 0) |
$2^{44}\cdot 5^{12}\cdot 7^{8}$ |
$3$ |
$59.5126119355$ |
$59.512611935526614$ |
|
✓ |
? |
$C_4^2$ (as 16T4) |
trivial |
$[2, 2]$ |
$2$ |
$15$ |
$897957134.815141$ |
$14$ |
$7$ |
| 16.0.247...000.2 |
$x^{16} - 4 x^{15} - 14 x^{14} + 84 x^{13} + 135 x^{12} - 1140 x^{11} - 100 x^{10} + 7832 x^{9} - 3713 x^{8} - 26568 x^{7} - 772 x^{6} + 29700 x^{5} + 347147 x^{4} - 604188 x^{3} - 261314 x^{2} + 228044 x + 1113751$ |
$16$ |
(0, 8) |
$2^{44}\cdot 5^{12}\cdot 7^{8}$ |
$3$ |
$59.5126119355$ |
$59.512611935526614$ |
✓ |
✓ |
? |
$C_4^2$ (as 16T4) |
$[2, 170]$ |
$[2, 170]$ |
$2$ |
$7$ |
$69472.20870795674$ |
$0$ |
$7$ |
| 16.16.247...000.2 |
$x^{16} - 4 x^{15} - 46 x^{14} + 196 x^{13} + 703 x^{12} - 3348 x^{11} - 4076 x^{10} + 25128 x^{9} + 4831 x^{8} - 86152 x^{7} + 29964 x^{6} + 123300 x^{5} - 83845 x^{4} - 47356 x^{3} + 50918 x^{2} - 10884 x + 191$ |
$16$ |
(16, 0) |
$2^{44}\cdot 5^{12}\cdot 7^{8}$ |
$3$ |
$59.5126119355$ |
$59.512611935526614$ |
|
✓ |
? |
$C_4^2$ (as 16T4) |
trivial |
$[2, 2, 2, 2]$ |
$2$ |
$15$ |
$673805748.205718$ |
$12$ |
$7$ |
| 16.0.247...000.3 |
$x^{16} + 48 x^{14} + 696 x^{12} + 4184 x^{10} + 11384 x^{8} + 13472 x^{6} + 5864 x^{4} + 736 x^{2} + 16$ |
$16$ |
(0, 8) |
$2^{44}\cdot 5^{12}\cdot 7^{8}$ |
$3$ |
$59.5126119355$ |
$59.512611935526614$ |
✓ |
✓ |
? |
$C_4^2$ (as 16T4) |
$[8, 40]$ |
$[8, 40]$ |
$2$ |
$7$ |
$69472.20870795674$ |
$0$ |
$7$ |
| 16.0.247...000.4 |
$x^{16} - 28 x^{14} + 686 x^{12} - 16464 x^{10} + 393764 x^{8} - 1613472 x^{6} + 6588344 x^{4} - 26353376 x^{2} + 92236816$ |
$16$ |
(0, 8) |
$2^{44}\cdot 5^{12}\cdot 7^{8}$ |
$3$ |
$59.5126119355$ |
$59.512611935526614$ |
✓ |
✓ |
? |
$C_4^2$ (as 16T4) |
$[8, 8]$ |
$[8, 8]$ |
$10$ |
$7$ |
$1983602.7194309747$ |
$0$ |
$7$ |
| 16.0.247...000.5 |
$x^{16} + 28 x^{14} + 686 x^{12} + 16464 x^{10} + 393764 x^{8} + 1613472 x^{6} + 6588344 x^{4} + 26353376 x^{2} + 92236816$ |
$16$ |
(0, 8) |
$2^{44}\cdot 5^{12}\cdot 7^{8}$ |
$3$ |
$59.5126119355$ |
$59.512611935526614$ |
✓ |
✓ |
? |
$C_4^2$ (as 16T4) |
$[2, 170]$ |
$[2, 170]$ |
$10$ |
$7$ |
$756104.7648687996$ |
$0$ |
$7$ |
| 16.0.327...625.1 |
$x^{16} - 31 x^{14} - 2 x^{13} + 458 x^{12} - 376 x^{11} - 2816 x^{10} + 4356 x^{9} + 13769 x^{8} - 39196 x^{7} - 37967 x^{6} + 192150 x^{5} - 77783 x^{4} - 416788 x^{3} + 772584 x^{2} + 40056 x + 250721$ |
$16$ |
(0, 8) |
$5^{12}\cdot 7^{8}\cdot 13^{12}$ |
$3$ |
$60.5667175557$ |
$60.56671755573221$ |
✓ |
✓ |
|
$C_4^2$ (as 16T4) |
$[4, 40]$ |
$[4, 40]$ |
$2$ |
$7$ |
$162215.76213779865$ |
$0$ |
$13$ |
| 16.16.327...625.1 |
$x^{16} - x^{15} - 75 x^{14} + 29 x^{13} + 2024 x^{12} + 527 x^{11} - 24414 x^{10} - 18647 x^{9} + 132021 x^{8} + 143796 x^{7} - 298501 x^{6} - 431294 x^{5} + 137649 x^{4} + 453033 x^{3} + 232820 x^{2} + 33022 x - 1889$ |
$16$ |
(16, 0) |
$5^{12}\cdot 7^{8}\cdot 13^{12}$ |
$3$ |
$60.5667175557$ |
$60.56671755573221$ |
|
✓ |
|
$C_4^2$ (as 16T4) |
trivial |
$[2, 2, 2]$ |
$2$ |
$15$ |
$956063383.6451516$ |
$13$ |
$13$ |
| 16.0.327...625.3 |
$x^{16} - x^{15} + 25 x^{14} - 71 x^{13} + 664 x^{12} + 2717 x^{11} + 14056 x^{10} + 38603 x^{9} + 219711 x^{8} + 318736 x^{7} + 672889 x^{6} + 1023646 x^{5} + 1741879 x^{4} - 1221277 x^{3} + 992380 x^{2} - 536558 x + 707281$ |
$16$ |
(0, 8) |
$5^{12}\cdot 7^{8}\cdot 13^{12}$ |
$3$ |
$60.5667175557$ |
$60.56671755573221$ |
✓ |
✓ |
|
$C_4^2$ (as 16T4) |
$[4, 40]$ |
$[4, 40]$ |
$10$ |
$7$ |
$925356.94221623$ |
$0$ |
$13$ |
| 16.0.954...000.1 |
$x^{16} - 4 x^{15} + 54 x^{14} - 152 x^{13} + 1083 x^{12} - 2508 x^{11} + 11142 x^{10} - 23128 x^{9} + 63226 x^{8} - 128412 x^{7} + 222174 x^{6} - 365252 x^{5} + 530650 x^{4} - 568676 x^{3} + 537460 x^{2} - 655308 x + 394481$ |
$16$ |
(0, 8) |
$2^{24}\cdot 5^{12}\cdot 13^{12}$ |
$3$ |
$64.74854461$ |
$64.74854461001611$ |
✓ |
✓ |
? |
$C_4^2$ (as 16T4) |
$[2, 20]$ |
$[2, 20]$ |
$2$ |
$7$ |
$1609101.0076496245$ |
$0$ |
$13$ |
