| 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 |
| 16.0.184...616.1 |
$x^{16} + 1$ |
$16$ |
[0,8] |
$2^{64}$ |
$1$ |
$16.0$ |
$16.0$ |
✓ |
✓ |
✓ |
$C_8\times C_2$ (as 16T5) |
trivial |
$32$ |
$7$ |
$15753.9498624$ |
| 16.0.110...169.1 |
$x^{16} - x^{15} + 8 x^{14} - 5 x^{13} + 40 x^{12} - 22 x^{11} + 111 x^{10} - 36 x^{9} + 206 x^{8} - 59 x^{7} + 212 x^{6} - 14 x^{5} + 125 x^{4} - 20 x^{3} + 26 x^{2} + 4 x + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 17^{14}$ |
$2$ |
$20.6634785421$ |
$20.663478542061284$ |
✓ |
✓ |
|
$C_8\times C_2$ (as 16T5) |
$[5]$ |
$6$ |
$7$ |
$3640.01221338$ |
| 16.0.110...944.1 |
$x^{16} + 15 x^{14} + 91 x^{12} + 286 x^{10} + 495 x^{8} + 462 x^{6} + 210 x^{4} + 36 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 17^{14}$ |
$2$ |
$23.8601297973$ |
$23.86012979730628$ |
✓ |
✓ |
✓ |
$C_8\times C_2$ (as 16T5) |
$[8]$ |
$4$ |
$7$ |
$3640.01221338$ |
| 16.0.302...144.1 |
$x^{16} + 8 x^{14} + 44 x^{12} + 128 x^{10} + 270 x^{8} + 288 x^{6} + 216 x^{4} + 32 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{62}\cdot 3^{8}$ |
$2$ |
$25.4127614972$ |
$25.412761497225222$ |
✓ |
✓ |
? |
$C_8\times C_2$ (as 16T5) |
$[3, 3]$ |
$6$ |
$7$ |
$15753.9498624$ |
| 16.0.302...144.2 |
$x^{16} - 8 x^{14} + 44 x^{12} - 128 x^{10} + 270 x^{8} - 288 x^{6} + 216 x^{4} - 32 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{62}\cdot 3^{8}$ |
$2$ |
$25.4127614972$ |
$25.412761497225222$ |
✓ |
✓ |
? |
$C_8\times C_2$ (as 16T5) |
trivial |
$6$ |
$7$ |
$95624.3098505$ |
| 16.16.657...625.1 |
$x^{16} - x^{15} - 22 x^{14} + 17 x^{13} + 172 x^{12} - 92 x^{11} - 601 x^{10} + 196 x^{9} + 1014 x^{8} - 189 x^{7} - 844 x^{6} + 74 x^{5} + 325 x^{4} - 46 x^{2} - 4 x + 1$ |
$16$ |
[16,0] |
$5^{8}\cdot 17^{14}$ |
$2$ |
$26.6764360894$ |
$26.676436089372558$ |
|
✓ |
|
$C_8\times C_2$ (as 16T5) |
trivial |
$2$ |
$15$ |
$1299965.95967$ |
| 16.16.121...576.1 |
$x^{16} - 16 x^{14} + 104 x^{12} - 352 x^{10} + 660 x^{8} - 672 x^{6} + 336 x^{4} - 64 x^{2} + 1$ |
$16$ |
[16,0] |
$2^{64}\cdot 3^{8}$ |
$2$ |
$27.7128129211$ |
$27.712812921102035$ |
|
✓ |
✓ |
$C_8\times C_2$ (as 16T5) |
trivial |
$2$ |
$15$ |
$2882883.79836$ |
| 16.0.121...576.1 |
$x^{16} + 16 x^{14} + 104 x^{12} + 352 x^{10} + 660 x^{8} + 672 x^{6} + 336 x^{4} + 64 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{64}\cdot 3^{8}$ |
$2$ |
$27.7128129211$ |
$27.712812921102035$ |
✓ |
✓ |
✓ |
$C_8\times C_2$ (as 16T5) |
$[3, 6]$ |
$2$ |
$7$ |
$5982.15532136$ |
| 16.0.121...576.2 |
$x^{16} + 6561$ |
$16$ |
[0,8] |
$2^{64}\cdot 3^{8}$ |
$2$ |
$27.7128129211$ |
$27.712812921102035$ |
✓ |
✓ |
? |
$C_8\times C_2$ (as 16T5) |
$[3, 6]$ |
$16$ |
$7$ |
$95624.3098505$ |
| 16.0.970...129.1 |
$x^{16} - x^{15} + 23 x^{14} - 16 x^{13} + 247 x^{12} - 128 x^{11} + 1478 x^{10} - 512 x^{9} + 5217 x^{8} - 1206 x^{7} + 10340 x^{6} - 1072 x^{5} + 10480 x^{4} - 960 x^{3} + 3968 x^{2} + 512 x + 256$ |
$16$ |
[0,8] |
$7^{8}\cdot 17^{14}$ |
$2$ |
$31.5639848467$ |
$31.563984846697192$ |
✓ |
✓ |
|
$C_8\times C_2$ (as 16T5) |
$[3, 15]$ |
$2$ |
$7$ |
$3640.01221338$ |
| 16.0.180...000.1 |
$x^{16} + 24 x^{14} + 204 x^{12} + 768 x^{10} + 1390 x^{8} + 1248 x^{6} + 536 x^{4} + 96 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{62}\cdot 5^{8}$ |
$2$ |
$32.80773402$ |
$32.807734019964784$ |
✓ |
✓ |
? |
$C_8\times C_2$ (as 16T5) |
$[17]$ |
$2$ |
$7$ |
$12198.9512748$ |
| 16.16.180...000.1 |
$x^{16} - 24 x^{14} + 204 x^{12} - 768 x^{10} + 1390 x^{8} - 1248 x^{6} + 536 x^{4} - 96 x^{2} + 4$ |
$16$ |
[16,0] |
$2^{62}\cdot 5^{8}$ |
$2$ |
$32.80773402$ |
$32.807734019964784$ |
|
✓ |
? |
$C_8\times C_2$ (as 16T5) |
trivial |
$2$ |
$15$ |
$9865525.20147$ |
| 16.0.282...664.1 |
$x^{16} + 30 x^{14} + 364 x^{12} + 2288 x^{10} + 7920 x^{8} + 14784 x^{6} + 13440 x^{4} + 4608 x^{2} + 256$ |
$16$ |
[0,8] |
$2^{24}\cdot 17^{14}$ |
$2$ |
$33.7433191593$ |
$33.74331915933294$ |
✓ |
✓ |
? |
$C_8\times C_2$ (as 16T5) |
$[3, 24]$ |
$2$ |
$7$ |
$3640.01221338$ |
| 16.16.282...664.1 |
$x^{16} - 30 x^{14} + 364 x^{12} - 2288 x^{10} + 7920 x^{8} - 14784 x^{6} + 13440 x^{4} - 4608 x^{2} + 256$ |
$16$ |
[16,0] |
$2^{24}\cdot 17^{14}$ |
$2$ |
$33.7433191593$ |
$33.74331915933294$ |
|
✓ |
? |
$C_8\times C_2$ (as 16T5) |
trivial |
$2$ |
$15$ |
$9272036.51336$ |
| 16.0.720...000.1 |
$x^{16} + 16 x^{14} + 104 x^{12} + 352 x^{10} + 660 x^{8} + 672 x^{6} + 336 x^{4} + 64 x^{2} + 2209$ |
$16$ |
[0,8] |
$2^{64}\cdot 5^{8}$ |
$2$ |
$35.77708764$ |
$35.77708763999664$ |
✓ |
✓ |
? |
$C_8\times C_2$ (as 16T5) |
$[34]$ |
$2$ |
$7$ |
$15753.9498624$ |
| 16.0.720...000.2 |
$x^{16} + 390625$ |
$16$ |
[0,8] |
$2^{64}\cdot 5^{8}$ |
$2$ |
$35.77708764$ |
$35.77708763999664$ |
✓ |
✓ |
? |
$C_8\times C_2$ (as 16T5) |
$[34]$ |
$16$ |
$7$ |
$320942.011738$ |
| 16.0.720...000.3 |
$x^{16} - 16 x^{14} + 104 x^{12} - 352 x^{10} + 660 x^{8} - 672 x^{6} + 336 x^{4} - 64 x^{2} + 2209$ |
$16$ |
[0,8] |
$2^{64}\cdot 5^{8}$ |
$2$ |
$35.77708764$ |
$35.77708763999664$ |
✓ |
✓ |
? |
$C_8\times C_2$ (as 16T5) |
$[2]$ |
$2$ |
$7$ |
$320942.011738$ |
| 16.0.265...104.1 |
$x^{16} + 24 x^{14} + 276 x^{12} + 1776 x^{10} + 6850 x^{8} + 14784 x^{6} + 17024 x^{4} + 6144 x^{2} + 1024$ |
$16$ |
[0,8] |
$2^{62}\cdot 7^{8}$ |
$2$ |
$38.818634393$ |
$38.81863439296463$ |
✓ |
✓ |
? |
$C_8\times C_2$ (as 16T5) |
$[136]$ |
$2$ |
$7$ |
$15753.9498624$ |
| 16.0.265...104.2 |
$x^{16} - 8 x^{15} + 60 x^{14} - 280 x^{13} + 1126 x^{12} - 3480 x^{11} + 9068 x^{10} - 19160 x^{9} + 33497 x^{8} - 47584 x^{7} + 54432 x^{6} - 49136 x^{5} + 34192 x^{4} - 17680 x^{3} + 6408 x^{2} - 1456 x + 158$ |
$16$ |
[0,8] |
$2^{62}\cdot 7^{8}$ |
$2$ |
$38.818634393$ |
$38.81863439296463$ |
✓ |
✓ |
? |
$C_8\times C_2$ (as 16T5) |
$[4]$ |
$2$ |
$7$ |
$620029.352334$ |
| 16.0.360...449.1 |
$x^{16} - 6 x^{15} + 24 x^{14} - 68 x^{13} + 229 x^{12} - 610 x^{11} + 1652 x^{10} - 3427 x^{9} + 8268 x^{8} - 14574 x^{7} + 31149 x^{6} - 43150 x^{5} + 84686 x^{4} - 84235 x^{3} + 155680 x^{2} - 83057 x + 153851$ |
$16$ |
[0,8] |
$11^{8}\cdot 17^{14}$ |
$2$ |
$39.5675489934$ |
$39.56754899342178$ |
✓ |
✓ |
|
$C_8\times C_2$ (as 16T5) |
$[17, 17]$ |
$2$ |
$7$ |
$3640.01221338$ |
| 16.0.411...625.1 |
$x^{16} - x^{15} + 12 x^{14} - 17 x^{13} + 2 x^{12} - 75 x^{11} - 142 x^{10} - 399 x^{9} + 470 x^{8} - 121 x^{7} + 3168 x^{6} + 5225 x^{5} + 8927 x^{4} + 11662 x^{3} + 12432 x^{2} + 7816 x + 4336$ |
$16$ |
[0,8] |
$5^{12}\cdot 17^{14}$ |
$2$ |
$39.8905761936$ |
$39.89057619356904$ |
✓ |
✓ |
|
$C_8\times C_2$ (as 16T5) |
$[146]$ |
$2$ |
$7$ |
$55081.0821685$ |
| 16.0.723...584.1 |
$x^{16} - 11 x^{14} + 20 x^{12} + 115 x^{10} - 297 x^{8} - 729 x^{6} + 5496 x^{4} + 4993 x^{2} + 2209$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 17^{14}$ |
$3$ |
$41.3269570841$ |
$41.32695708412257$ |
✓ |
✓ |
? |
$C_8\times C_2$ (as 16T5) |
$[2, 2]$ |
$2$ |
$7$ |
$330165.460254$ |
| 16.16.723...584.1 |
$x^{16} - 2 x^{15} - 37 x^{14} + 68 x^{13} + 508 x^{12} - 836 x^{11} - 3189 x^{10} + 4518 x^{9} + 9089 x^{8} - 10408 x^{7} - 10057 x^{6} + 8378 x^{5} + 2786 x^{4} - 1462 x^{3} - 37 x^{2} + 32 x + 1$ |
$16$ |
[16,0] |
$2^{16}\cdot 3^{8}\cdot 17^{14}$ |
$3$ |
$41.3269570841$ |
$41.32695708412257$ |
|
✓ |
? |
$C_8\times C_2$ (as 16T5) |
trivial |
$2$ |
$15$ |
$33588984.3311$ |
| 16.0.723...584.2 |
$x^{16} - 17 x^{14} + 221 x^{12} - 986 x^{10} + 3162 x^{8} - 5202 x^{6} + 6069 x^{4} - 1445 x^{2} + 289$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 17^{14}$ |
$3$ |
$41.3269570841$ |
$41.32695708412257$ |
✓ |
✓ |
|
$C_8\times C_2$ (as 16T5) |
$[2, 10]$ |
$6$ |
$7$ |
$351247.794557$ |
| 16.0.723...584.3 |
$x^{16} - 19 x^{14} + 108 x^{12} - 173 x^{10} + 155 x^{8} + 955 x^{6} + 720 x^{4} - 9739 x^{2} + 10609$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 17^{14}$ |
$3$ |
$41.3269570841$ |
$41.32695708412257$ |
✓ |
✓ |
? |
$C_8\times C_2$ (as 16T5) |
$[2, 8]$ |
$4$ |
$7$ |
$175623.897279$ |
| 16.0.106...416.1 |
$x^{16} + 32 x^{14} + 416 x^{12} + 2816 x^{10} + 10560 x^{8} + 21504 x^{6} + 21504 x^{4} + 8192 x^{2} + 961$ |
$16$ |
[0,8] |
$2^{64}\cdot 7^{8}$ |
$2$ |
$42.332020977$ |
$42.33202097703345$ |
✓ |
✓ |
? |
$C_8\times C_2$ (as 16T5) |
$[2, 34]$ |
$2$ |
$7$ |
$39114.0652766$ |
| 16.16.106...416.1 |
$x^{16} - 32 x^{14} + 416 x^{12} - 2816 x^{10} + 10560 x^{8} - 21504 x^{6} + 21504 x^{4} - 8192 x^{2} + 961$ |
$16$ |
[16,0] |
$2^{64}\cdot 7^{8}$ |
$2$ |
$42.332020977$ |
$42.33202097703345$ |
|
✓ |
? |
$C_8\times C_2$ (as 16T5) |
trivial |
$2$ |
$15$ |
$122221144.043$ |
| 16.0.106...416.2 |
$x^{16} + 5764801$ |
$16$ |
[0,8] |
$2^{64}\cdot 7^{8}$ |
$2$ |
$42.332020977$ |
$42.33202097703345$ |
✓ |
✓ |
? |
$C_8\times C_2$ (as 16T5) |
$[2, 34]$ |
$16$ |
$7$ |
$620029.352334$ |
| 16.16.137...809.1 |
$x^{16} - 6 x^{15} - 24 x^{14} + 184 x^{13} + 145 x^{12} - 2062 x^{11} + 500 x^{10} + 10181 x^{9} - 7614 x^{8} - 20610 x^{7} + 22809 x^{6} + 10286 x^{5} - 19654 x^{4} + 4745 x^{3} + 2122 x^{2} - 1001 x + 101$ |
$16$ |
[16,0] |
$13^{8}\cdot 17^{14}$ |
$2$ |
$43.0144607117$ |
$43.014460711706995$ |
|
✓ |
|
$C_8\times C_2$ (as 16T5) |
trivial |
$2$ |
$15$ |
$71925461.2875$ |
| 16.0.248...321.1 |
$x^{16} - x^{15} - 2 x^{14} + 19 x^{13} - 46 x^{12} + 108 x^{11} + 348 x^{10} - 795 x^{9} + 1681 x^{8} + 6119 x^{7} - 1809 x^{6} - 6620 x^{5} + 12333 x^{4} + 18226 x^{3} + 16573 x^{2} + 9440 x + 3481$ |
$16$ |
[0,8] |
$3^{8}\cdot 41^{14}$ |
$2$ |
$44.6422938687$ |
$44.64229386869556$ |
✓ |
✓ |
|
$C_8\times C_2$ (as 16T5) |
$[17]$ |
$6$ |
$7$ |
$541284.897174$ |
| 16.0.431...625.1 |
$x^{16} - 6 x^{15} + 32 x^{14} - 110 x^{13} + 439 x^{12} - 1250 x^{11} + 4000 x^{10} - 9195 x^{9} + 25370 x^{8} - 47784 x^{7} + 115811 x^{6} - 170636 x^{5} + 371982 x^{4} - 388515 x^{3} + 779262 x^{2} - 435519 x + 838099$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{8}\cdot 17^{14}$ |
$3$ |
$46.2049426717$ |
$46.20494267165728$ |
✓ |
✓ |
|
$C_8\times C_2$ (as 16T5) |
$[816]$ |
$2$ |
$7$ |
$3640.012213375973$ |
| 16.0.431...625.2 |
$x^{16} - 6 x^{15} + 26 x^{14} - 70 x^{13} + 153 x^{12} - 128 x^{11} - 428 x^{10} + 3149 x^{9} - 4488 x^{8} + 1516 x^{7} + 12743 x^{6} - 24194 x^{5} + 64192 x^{4} - 48869 x^{3} + 100862 x^{2} - 32207 x + 16999$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{8}\cdot 17^{14}$ |
$3$ |
$46.2049426717$ |
$46.20494267165728$ |
✓ |
✓ |
|
$C_8\times C_2$ (as 16T5) |
$[2, 34]$ |
$2$ |
$7$ |
$55081.08216847024$ |
| 16.0.431...625.3 |
$x^{16} - x^{15} + 25 x^{14} - 22 x^{13} + 448 x^{12} - 447 x^{11} + 3528 x^{10} - 5340 x^{9} + 21507 x^{8} - 30030 x^{7} + 69368 x^{6} - 91287 x^{5} + 155828 x^{4} - 158392 x^{3} + 147875 x^{2} - 72501 x + 28561$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{8}\cdot 17^{14}$ |
$3$ |
$46.2049426717$ |
$46.20494267165728$ |
✓ |
✓ |
|
$C_8\times C_2$ (as 16T5) |
$[2, 170]$ |
$6$ |
$7$ |
$81485.0410293661$ |
| 16.0.431...625.4 |
$x^{16} - x^{15} + 19 x^{14} - 4 x^{13} + 187 x^{12} + 24 x^{11} + 1146 x^{10} + 1455 x^{9} + 4962 x^{8} + 6399 x^{7} + 25490 x^{6} - 5124 x^{5} + 27353 x^{4} - 11794 x^{3} + 25043 x^{2} - 63579 x + 41719$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{8}\cdot 17^{14}$ |
$3$ |
$46.2049426717$ |
$46.20494267165728$ |
✓ |
✓ |
|
$C_8\times C_2$ (as 16T5) |
$[48]$ |
$2$ |
$7$ |
$81485.0410293661$ |
| 16.0.723...984.1 |
$x^{16} + 153 x^{12} + 1768 x^{8} + 4913 x^{4} + 289$ |
$16$ |
[0,8] |
$2^{32}\cdot 17^{14}$ |
$2$ |
$47.7202595946$ |
$47.72025959461256$ |
✓ |
✓ |
|
$C_8\times C_2$ (as 16T5) |
$[2, 6, 24]$ |
$4$ |
$7$ |
$154432.70553532377$ |
| 16.0.723...984.2 |
$x^{16} - 4 x^{14} - 27 x^{12} + 44 x^{10} + 304 x^{8} + 1320 x^{6} + 5093 x^{4} - 14296 x^{2} + 10201$ |
$16$ |
[0,8] |
$2^{32}\cdot 17^{14}$ |
$2$ |
$47.7202595946$ |
$47.72025959461256$ |
✓ |
✓ |
|
$C_8\times C_2$ (as 16T5) |
$[2, 2, 8]$ |
$2$ |
$7$ |
$154432.70553532377$ |
| 16.0.723...984.3 |
$x^{16} + 4 x^{14} - 27 x^{12} - 44 x^{10} + 304 x^{8} - 1320 x^{6} + 5093 x^{4} + 14296 x^{2} + 10201$ |
$16$ |
[0,8] |
$2^{32}\cdot 17^{14}$ |
$2$ |
$47.7202595946$ |
$47.72025959461256$ |
✓ |
✓ |
|
$C_8\times C_2$ (as 16T5) |
$[2, 6, 6]$ |
$2$ |
$7$ |
$103646.40189541418$ |
| 16.0.988...424.1 |
$x^{16} - 8 x^{15} + 36 x^{14} - 112 x^{13} + 346 x^{12} - 984 x^{11} + 2640 x^{10} - 5896 x^{9} + 13211 x^{8} - 25432 x^{7} + 50016 x^{6} - 77960 x^{5} + 132922 x^{4} - 157696 x^{3} + 233836 x^{2} - 164920 x + 214303$ |
$16$ |
[0,8] |
$2^{62}\cdot 11^{8}$ |
$2$ |
$48.6617334808$ |
$48.66173348077995$ |
✓ |
✓ |
? |
$C_8\times C_2$ (as 16T5) |
$[565]$ |
$2$ |
$7$ |
$15753.94986242651$ |
| 16.0.988...424.2 |
$x^{16} - 8 x^{15} + 68 x^{14} - 336 x^{13} + 1514 x^{12} - 5080 x^{11} + 14784 x^{10} - 34408 x^{9} + 67067 x^{8} - 105688 x^{7} + 133904 x^{6} - 133032 x^{5} + 100122 x^{4} - 54592 x^{3} + 20220 x^{2} - 4536 x + 463$ |
$16$ |
[0,8] |
$2^{62}\cdot 11^{8}$ |
$2$ |
$48.6617334808$ |
$48.66173348077995$ |
✓ |
✓ |
? |
$C_8\times C_2$ (as 16T5) |
$[5]$ |
$2$ |
$7$ |
$1365751.160205918$ |
| 16.0.112...000.1 |
$x^{16} + 40 x^{14} + 620 x^{12} + 4800 x^{10} + 19950 x^{8} + 44000 x^{6} + 47000 x^{4} + 20000 x^{2} + 2500$ |
$16$ |
[0,8] |
$2^{62}\cdot 5^{12}$ |
$2$ |
$49.0590050814$ |
$49.05900508138431$ |
✓ |
✓ |
? |
$C_8\times C_2$ (as 16T5) |
$[3, 246]$ |
$2$ |
$7$ |
$12198.951274811623$ |
| 16.16.112...000.1 |
$x^{16} - 40 x^{14} + 620 x^{12} - 4800 x^{10} + 19950 x^{8} - 44000 x^{6} + 47000 x^{4} - 20000 x^{2} + 2500$ |
$16$ |
[16,0] |
$2^{62}\cdot 5^{12}$ |
$2$ |
$49.0590050814$ |
$49.05900508138431$ |
|
✓ |
? |
$C_8\times C_2$ (as 16T5) |
trivial |
$2$ |
$15$ |
$162380335.1718013$ |
| 16.0.248...296.1 |
$x^{16} - 5 x^{14} + 75 x^{12} - 555 x^{10} + 4458 x^{8} - 14529 x^{6} + 11641 x^{4} + 7546 x^{2} + 3481$ |
$16$ |
[0,8] |
$2^{16}\cdot 41^{14}$ |
$2$ |
$51.5484807647$ |
$51.548480764667524$ |
✓ |
✓ |
? |
$C_8\times C_2$ (as 16T5) |
$[8]$ |
$4$ |
$7$ |
$1737529.057604532$ |
| 16.0.285...089.6 |
$x^{16} - 6 x^{15} + 40 x^{14} - 152 x^{13} + 705 x^{12} - 2142 x^{11} + 7860 x^{10} - 19323 x^{9} + 60042 x^{8} - 119410 x^{7} + 322825 x^{6} - 498338 x^{5} + 1197274 x^{4} - 1299079 x^{3} + 2829154 x^{2} - 1635129 x + 3329789$ |
$16$ |
[0,8] |
$17^{14}\cdot 19^{8}$ |
$2$ |
$52.0019472831$ |
$52.00194728311084$ |
✓ |
✓ |
|
$C_8\times C_2$ (as 16T5) |
$[5, 520]$ |
$2$ |
$7$ |
$3640.01221338$ |
| 16.0.376...784.1 |
$x^{16} - 8 x^{15} + 20 x^{14} + 26 x^{12} - 520 x^{11} + 768 x^{10} + 1880 x^{9} - 853 x^{8} - 15304 x^{7} + 3152 x^{6} + 59544 x^{5} + 25482 x^{4} - 175600 x^{3} - 155892 x^{2} + 257304 x + 353263$ |
$16$ |
[0,8] |
$2^{62}\cdot 13^{8}$ |
$2$ |
$52.9008815613$ |
$52.9008815613158$ |
✓ |
✓ |
? |
$C_8\times C_2$ (as 16T5) |
$[9, 9]$ |
$2$ |
$7$ |
$108889.88555195347$ |
| 16.16.376...784.1 |
$x^{16} - 8 x^{15} - 12 x^{14} + 224 x^{13} - 182 x^{12} - 2184 x^{11} + 3600 x^{10} + 8312 x^{9} - 19381 x^{8} - 7240 x^{7} + 36768 x^{6} - 14600 x^{5} - 16214 x^{4} + 13904 x^{3} - 2564 x^{2} - 424 x + 127$ |
$16$ |
[16,0] |
$2^{62}\cdot 13^{8}$ |
$2$ |
$52.9008815613$ |
$52.9008815613158$ |
|
✓ |
? |
$C_8\times C_2$ (as 16T5) |
trivial |
$2$ |
$15$ |
$294948493.2252423$ |
| 16.0.395...696.1 |
$x^{16} + 214358881$ |
$16$ |
[0,8] |
$2^{64}\cdot 11^{8}$ |
$2$ |
$53.0659966457$ |
$53.0659966456864$ |
✓ |
✓ |
? |
$C_8\times C_2$ (as 16T5) |
$[226]$ |
$16$ |
$7$ |
$1365751.160205918$ |
| 16.16.395...696.1 |
$x^{16} - 48 x^{14} + 936 x^{12} - 9504 x^{10} + 53460 x^{8} - 163296 x^{6} + 244944 x^{4} - 139968 x^{2} + 12769$ |
$16$ |
[16,0] |
$2^{64}\cdot 11^{8}$ |
$2$ |
$53.0659966457$ |
$53.0659966456864$ |
|
✓ |
? |
$C_8\times C_2$ (as 16T5) |
trivial |
$2$ |
$15$ |
$571177340.2299249$ |
| 16.0.395...696.2 |
$x^{16} + 48 x^{14} + 936 x^{12} + 9504 x^{10} + 53460 x^{8} + 163296 x^{6} + 244944 x^{4} + 139968 x^{2} + 12769$ |
$16$ |
[0,8] |
$2^{64}\cdot 11^{8}$ |
$2$ |
$53.0659966457$ |
$53.0659966456864$ |
✓ |
✓ |
? |
$C_8\times C_2$ (as 16T5) |
$[226]$ |
$2$ |
$7$ |
$82984.7429060446$ |
| 16.0.431...000.1 |
$x^{16} - 2 x^{15} + 27 x^{14} - 44 x^{13} + 452 x^{12} - 644 x^{11} + 5131 x^{10} - 6202 x^{9} + 42489 x^{8} - 42728 x^{7} + 257239 x^{6} - 204038 x^{5} + 1104650 x^{4} - 624150 x^{3} + 3070971 x^{2} - 944592 x + 4250681$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{8}\cdot 17^{14}$ |
$3$ |
$53.3528721787$ |
$53.352872178745116$ |
✓ |
✓ |
? |
$C_8\times C_2$ (as 16T5) |
$[40, 80]$ |
$2$ |
$7$ |
$3640.012213375973$ |
| 16.0.431...000.2 |
$x^{16} + 41 x^{14} + 660 x^{12} + 5303 x^{10} + 22483 x^{8} + 49767 x^{6} + 54752 x^{4} + 25265 x^{2} + 2209$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{8}\cdot 17^{14}$ |
$3$ |
$53.3528721787$ |
$53.352872178745116$ |
✓ |
✓ |
? |
$C_8\times C_2$ (as 16T5) |
$[8, 16]$ |
$2$ |
$7$ |
$81485.0410293661$ |
