| 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 |
| 16.0.20542695432781824.1 |
$x^{16} - 4 x^{15} + 14 x^{14} - 36 x^{13} + 80 x^{12} - 152 x^{11} + 256 x^{10} - 372 x^{9} + 451 x^{8} - 444 x^{7} + 328 x^{6} - 172 x^{5} + 80 x^{4} - 48 x^{3} + 26 x^{2} - 8 x + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{14}$ |
$2$ |
$10.4602265145$ |
$10.460226514460828$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
trivial |
$12$ |
$7$ |
$160.565615792$ |
| 16.0.66202447602479769.1 |
$x^{16} - 2 x^{15} + 3 x^{14} + 8 x^{13} - 16 x^{12} + 21 x^{11} + 16 x^{10} - 38 x^{9} + 57 x^{8} - 11 x^{7} - 26 x^{6} + 63 x^{5} - 16 x^{4} - x^{3} + 24 x^{2} - 5 x + 1$ |
$16$ |
[0,8] |
$3^{14}\cdot 7^{12}$ |
$2$ |
$11.253940842$ |
$11.253940841985125$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
trivial |
$6$ |
$7$ |
$134.265380275$ |
| 16.0.288230376151711744.5 |
$x^{16} - 8 x^{14} + 32 x^{12} - 72 x^{10} + 102 x^{8} - 88 x^{6} + 32 x^{4} + 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{58}$ |
$1$ |
$12.3376866033$ |
$12.337686603263526$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
trivial |
$8$ |
$7$ |
$658.644099006$ |
| 16.0.328683126924509184.1 |
$x^{16} + 6 x^{12} + 39 x^{8} - 18 x^{4} + 9$ |
$16$ |
[0,8] |
$2^{36}\cdot 3^{14}$ |
$2$ |
$12.4393757955$ |
$12.43937579553693$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
trivial |
$12$ |
$7$ |
$770.744587935$ |
| 16.0.414...625.2 |
$x^{16} - x^{15} + x^{14} - 7 x^{13} + 29 x^{12} - 45 x^{11} + 23 x^{10} + 21 x^{9} + 23 x^{8} - 21 x^{7} + 23 x^{6} + 45 x^{5} + 29 x^{4} + 7 x^{3} + x^{2} + x + 1$ |
$16$ |
[0,8] |
$5^{12}\cdot 19^{8}$ |
$2$ |
$14.5748570443$ |
$14.574857044323968$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
$[2]$ |
$2$ |
$7$ |
$383.449419108$ |
| 16.0.184...616.11 |
$x^{16} + 68 x^{8} + 4$ |
$16$ |
[0,8] |
$2^{64}$ |
$1$ |
$16.0$ |
$16.0$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
trivial |
$8$ |
$7$ |
$5486.67245904$ |
| 16.0.201...281.1 |
$x^{16} - 7 x^{15} + 32 x^{14} - 109 x^{13} + 286 x^{12} - 623 x^{11} + 1178 x^{10} - 1895 x^{9} + 2554 x^{8} - 2901 x^{7} + 2784 x^{6} - 2259 x^{5} + 1683 x^{4} - 1332 x^{3} + 1044 x^{2} - 576 x + 144$ |
$16$ |
[0,8] |
$3^{12}\cdot 11^{14}$ |
$2$ |
$18.5805917232$ |
$18.580591723225652$ |
|
✓ |
|
$QD_{16}$ (as 16T12) |
trivial |
$6$ |
$7$ |
$53834.7389087$ |
| 16.0.134...664.1 |
$x^{16} + 12 x^{12} + 156 x^{8} - 144 x^{4} + 144$ |
$16$ |
[0,8] |
$2^{48}\cdot 3^{14}$ |
$2$ |
$20.9204530289$ |
$20.920453028921656$ |
|
✓ |
|
$QD_{16}$ (as 16T12) |
trivial |
$12$ |
$7$ |
$114888.403605$ |
| 16.0.134...664.2 |
$x^{16} - 12 x^{12} + 156 x^{8} + 144 x^{4} + 144$ |
$16$ |
[0,8] |
$2^{48}\cdot 3^{14}$ |
$2$ |
$20.9204530289$ |
$20.920453028921656$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
trivial |
$12$ |
$7$ |
$43298.6296418$ |
| 16.0.162...456.5 |
$x^{16} - 4 x^{14} + 32 x^{12} - 100 x^{10} + 141 x^{8} - 120 x^{6} + 92 x^{4} - 32 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{48}\cdot 7^{8}$ |
$2$ |
$21.1660104885$ |
$21.166010488516726$ |
|
✓ |
|
$QD_{16}$ (as 16T12) |
$[2]$ |
$2$ |
$7$ |
$31437.5544959$ |
| 16.0.162...456.7 |
$x^{16} + 4 x^{14} + 32 x^{12} + 100 x^{10} + 141 x^{8} + 120 x^{6} + 92 x^{4} + 32 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{48}\cdot 7^{8}$ |
$2$ |
$21.1660104885$ |
$21.166010488516726$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
$[2]$ |
$2$ |
$7$ |
$11851.740666$ |
| 16.0.189...384.9 |
$x^{16} + 40 x^{12} - 144 x^{11} + 720 x^{9} - 948 x^{8} - 1152 x^{7} + 10368 x^{6} - 14400 x^{5} + 10192 x^{4} - 2016 x^{3} + 10368 x^{2} - 14112 x + 9604$ |
$16$ |
[0,8] |
$2^{58}\cdot 3^{8}$ |
$2$ |
$21.3695000447$ |
$21.36950004471431$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
$[2]$ |
$8$ |
$7$ |
$25045.3091327$ |
| 16.0.105...009.1 |
$x^{16} - 7 x^{15} + 11 x^{14} + 36 x^{13} - 151 x^{12} + 79 x^{11} + 514 x^{10} - 885 x^{9} - 251 x^{8} + 2148 x^{7} - 977 x^{6} - 2815 x^{5} + 3845 x^{4} + 2340 x^{3} - 5632 x^{2} - 1376 x + 3184$ |
$16$ |
[0,8] |
$3^{14}\cdot 19^{12}$ |
$2$ |
$23.7983199288$ |
$23.79831992881347$ |
|
✓ |
|
$QD_{16}$ (as 16T12) |
trivial |
$6$ |
$7$ |
$452785.147047$ |
| 16.0.358...625.1 |
$x^{16} - 2 x^{15} - 6 x^{14} - 11 x^{13} + 114 x^{12} - 15 x^{11} + 62 x^{10} + 193 x^{9} + 828 x^{8} + 298 x^{7} + 952 x^{6} + 1715 x^{5} + 924 x^{4} + 114 x^{3} + 34 x^{2} - 7 x + 1$ |
$16$ |
[0,8] |
$5^{12}\cdot 59^{8}$ |
$2$ |
$25.68345875$ |
$25.683458749990002$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
$[6]$ |
$2$ |
$7$ |
$11967.7452041$ |
| 16.0.431...641.3 |
$x^{16} - 2 x^{15} + 2 x^{14} - 20 x^{13} + 53 x^{12} - 41 x^{11} + 28 x^{10} - 213 x^{9} + 372 x^{8} - 207 x^{7} + 567 x^{6} - 3132 x^{5} + 7560 x^{4} - 8424 x^{3} + 6399 x^{2} - 2673 x + 729$ |
$16$ |
[0,8] |
$3^{8}\cdot 37^{12}$ |
$2$ |
$25.9843537704$ |
$25.9843537703577$ |
|
✓ |
|
$QD_{16}$ (as 16T12) |
$[2]$ |
$6$ |
$7$ |
$1003936.94223$ |
| 16.0.121...576.203 |
$x^{16} + 4 x^{12} - 144 x^{11} + 720 x^{9} - 318 x^{8} + 1440 x^{7} + 10368 x^{6} - 1440 x^{5} + 1948 x^{4} + 22608 x^{3} + 10368 x^{2} - 23184 x + 25921$ |
$16$ |
[0,8] |
$2^{64}\cdot 3^{8}$ |
$2$ |
$27.712812921102035$ |
$27.712812921102035$ |
|
✓ |
|
$QD_{16}$ (as 16T12) |
$[2]$ |
$8$ |
$7$ |
$334490.9163981903$ |
| 16.0.153...104.161 |
$x^{16} - 8 x^{15} + 28 x^{14} - 32 x^{13} - 132 x^{12} + 664 x^{11} - 1112 x^{10} - 1008 x^{9} + 10558 x^{8} - 30672 x^{7} + 56504 x^{6} - 74976 x^{5} + 73124 x^{4} - 49552 x^{3} + 20600 x^{2} - 4464 x + 934$ |
$16$ |
[0,8] |
$2^{58}\cdot 3^{12}$ |
$2$ |
$28.12384367863563$ |
$28.12384367863563$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
$[2]$ |
$2$ |
$7$ |
$53292.53277298483$ |
| 16.0.153...104.167 |
$x^{16} - 8 x^{15} + 28 x^{14} - 32 x^{13} - 60 x^{12} + 64 x^{11} + 868 x^{10} - 2904 x^{9} + 3604 x^{8} - 2280 x^{7} + 6692 x^{6} - 23760 x^{5} + 43508 x^{4} - 47728 x^{3} + 33116 x^{2} - 13656 x + 2713$ |
$16$ |
[0,8] |
$2^{58}\cdot 3^{12}$ |
$2$ |
$28.12384367863563$ |
$28.12384367863563$ |
|
✓ |
|
$QD_{16}$ (as 16T12) |
$[2]$ |
$2$ |
$7$ |
$234197.29061374147$ |
| 16.0.370...625.1 |
$x^{16} - 2 x^{15} + 4 x^{14} - 31 x^{13} + 99 x^{12} - 90 x^{11} + 187 x^{10} + 338 x^{9} + 1263 x^{8} + 1943 x^{7} + 2252 x^{6} + 1715 x^{5} + 684 x^{4} + 69 x^{3} + 69 x^{2} - 7 x + 1$ |
$16$ |
[0,8] |
$5^{12}\cdot 79^{8}$ |
$2$ |
$29.7194692266$ |
$29.719469226626792$ |
|
✓ |
|
$QD_{16}$ (as 16T12) |
$[10]$ |
$2$ |
$7$ |
$24561.9499263$ |
| 16.16.137...936.1 |
$x^{16} - 40 x^{14} + 496 x^{12} - 2176 x^{10} + 3586 x^{8} - 2536 x^{6} + 736 x^{4} - 64 x^{2} + 1$ |
$16$ |
[16,0] |
$2^{58}\cdot 3^{14}$ |
$2$ |
$32.2637491336$ |
$32.263749133641326$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
trivial |
$2$ |
$15$ |
$11616883.2438$ |
| 16.16.137...936.2 |
$x^{16} - 24 x^{14} + 216 x^{12} - 936 x^{10} + 2094 x^{8} - 2376 x^{6} + 1224 x^{4} - 216 x^{2} + 9$ |
$16$ |
[16,0] |
$2^{58}\cdot 3^{14}$ |
$2$ |
$32.2637491336$ |
$32.263749133641326$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
trivial |
$2$ |
$15$ |
$12887977.1035$ |
| 16.0.137...936.7 |
$x^{16} + 8 x^{14} + 76 x^{12} - 304 x^{10} + 3136 x^{8} - 10576 x^{6} + 37384 x^{4} - 59584 x^{2} + 81796$ |
$16$ |
[0,8] |
$2^{58}\cdot 3^{14}$ |
$2$ |
$32.2637491336$ |
$32.263749133641326$ |
✓ |
✓ |
? |
$QD_{16}$ (as 16T12) |
$[3, 6]$ |
$2$ |
$7$ |
$20146.2577766$ |
| 16.0.137...936.8 |
$x^{16} + 24 x^{14} + 216 x^{12} + 936 x^{10} + 2094 x^{8} + 2376 x^{6} + 1224 x^{4} + 216 x^{2} + 9$ |
$16$ |
[0,8] |
$2^{58}\cdot 3^{14}$ |
$2$ |
$32.2637491336$ |
$32.263749133641326$ |
✓ |
✓ |
? |
$QD_{16}$ (as 16T12) |
$[3, 6]$ |
$2$ |
$7$ |
$20146.2577766$ |
| 16.0.182...161.1 |
$x^{16} - 6 x^{15} + 15 x^{14} - 14 x^{13} - 48 x^{12} + 294 x^{11} - 273 x^{10} - 506 x^{9} + 1021 x^{8} - 2042 x^{7} + 5757 x^{6} - 3358 x^{5} + 3832 x^{4} - 1080 x^{3} + 1297 x^{2} - 1258 x + 347$ |
$16$ |
[0,8] |
$13^{12}\cdot 23^{8}$ |
$2$ |
$32.8338214554$ |
$32.8338214553794$ |
|
✓ |
|
$QD_{16}$ (as 16T12) |
$[6]$ |
$2$ |
$7$ |
$64747.4698794$ |
| 16.0.245...664.218 |
$x^{16} - 24 x^{14} + 180 x^{12} - 288 x^{10} - 630 x^{8} - 8640 x^{6} + 43416 x^{4} - 2592 x^{2} + 116964$ |
$16$ |
[0,8] |
$2^{62}\cdot 3^{12}$ |
$2$ |
$33.44507500385779$ |
$33.44507500385779$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
trivial |
$6$ |
$7$ |
$1514679.5199262386$ |
| 16.0.245...664.219 |
$x^{16} + 24 x^{14} + 180 x^{12} + 288 x^{10} - 630 x^{8} + 8640 x^{6} + 43416 x^{4} + 2592 x^{2} + 116964$ |
$16$ |
[0,8] |
$2^{62}\cdot 3^{12}$ |
$2$ |
$33.44507500385779$ |
$33.44507500385779$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
trivial |
$6$ |
$7$ |
$2494880.7414429565$ |
| 16.16.264...625.1 |
$x^{16} - 2 x^{15} - 40 x^{14} + 5 x^{13} + 496 x^{12} + 365 x^{11} - 2354 x^{10} - 2765 x^{9} + 4166 x^{8} + 5870 x^{7} - 3235 x^{6} - 5108 x^{5} + 1076 x^{4} + 1825 x^{3} - 100 x^{2} - 200 x + 5$ |
$16$ |
[16,0] |
$5^{12}\cdot 101^{8}$ |
$2$ |
$33.6037844392$ |
$33.60378443921746$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
trivial |
$2$ |
$15$ |
$16333161.075$ |
| 16.0.376...409.1 |
$x^{16} - 2 x^{15} + 3 x^{14} + 44 x^{13} - 100 x^{12} + 165 x^{11} + 628 x^{10} - 1694 x^{9} + 3117 x^{8} + 2653 x^{7} - 10970 x^{6} + 23013 x^{5} - 5884 x^{4} - 19543 x^{3} + 57858 x^{2} - 44825 x + 26569$ |
$16$ |
[0,8] |
$3^{14}\cdot 31^{12}$ |
$2$ |
$34.3559821364$ |
$34.355982136412706$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
$[3, 3, 3]$ |
$6$ |
$7$ |
$38710.9719245$ |
| 16.0.980...656.173 |
$x^{16} + 8 x^{14} + 28 x^{12} + 56 x^{10} + 34 x^{8} + 1064 x^{6} - 2492 x^{4} + 1016 x^{2} + 289$ |
$16$ |
[0,8] |
$2^{64}\cdot 3^{12}$ |
$2$ |
$36.47211291127644$ |
$36.47211291127644$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
$[3, 6]$ |
$8$ |
$7$ |
$661757.6131970676$ |
| 16.0.980...656.184 |
$x^{16} + 612 x^{8} + 324$ |
$16$ |
[0,8] |
$2^{64}\cdot 3^{12}$ |
$2$ |
$36.47211291127644$ |
$36.47211291127644$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
$[2]$ |
$8$ |
$7$ |
$1748499.0858398038$ |
| 16.0.174...081.1 |
$x^{16} - 2 x^{15} + 2 x^{14} - 32 x^{13} + 41 x^{12} - 113 x^{11} - 320 x^{10} + 501 x^{9} + 2370 x^{8} + 5301 x^{7} + 11097 x^{6} + 14526 x^{5} + 13716 x^{4} + 13284 x^{3} + 9315 x^{2} + 3159 x + 729$ |
$16$ |
[0,8] |
$3^{8}\cdot 61^{12}$ |
$2$ |
$37.8057626651$ |
$37.80576266511387$ |
|
✓ |
|
$QD_{16}$ (as 16T12) |
$[3, 6]$ |
$6$ |
$7$ |
$2820654.85259$ |
| 16.0.882...904.91 |
$x^{16} + 8 x^{14} + 76 x^{12} - 40 x^{10} - 182 x^{8} + 1352 x^{6} + 1540 x^{4} + 4280 x^{2} + 361$ |
$16$ |
[0,8] |
$2^{64}\cdot 3^{14}$ |
$2$ |
$41.84090605784331$ |
$41.84090605784331$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
$[2]$ |
$4$ |
$7$ |
$2380073.6810220424$ |
| 16.0.882...904.112 |
$x^{16} + 8 x^{14} - 20 x^{12} + 152 x^{10} + 1450 x^{8} + 4040 x^{6} + 3748 x^{4} + 1016 x^{2} + 841$ |
$16$ |
[0,8] |
$2^{64}\cdot 3^{14}$ |
$2$ |
$41.84090605784331$ |
$41.84090605784331$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
$[3, 6]$ |
$4$ |
$7$ |
$652795.1697099718$ |
| 16.0.882...904.168 |
$x^{16} - 48 x^{12} + 1068 x^{8} - 4896 x^{4} + 22500$ |
$16$ |
[0,8] |
$2^{64}\cdot 3^{14}$ |
$2$ |
$41.84090605784331$ |
$41.84090605784331$ |
|
✓ |
|
$QD_{16}$ (as 16T12) |
$[2]$ |
$4$ |
$7$ |
$73550015.01601587$ |
| 16.0.882...904.169 |
$x^{16} + 48 x^{12} + 1068 x^{8} + 4896 x^{4} + 22500$ |
$16$ |
[0,8] |
$2^{64}\cdot 3^{14}$ |
$2$ |
$41.84090605784331$ |
$41.84090605784331$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
$[2]$ |
$4$ |
$7$ |
$2370460.901884484$ |
| 16.0.191...569.1 |
$x^{16} - 2 x^{15} + 3 x^{14} + 62 x^{13} - 91 x^{12} + 84 x^{11} + 1258 x^{10} - 1352 x^{9} + 1686 x^{8} + 8296 x^{7} - 9998 x^{6} + 15372 x^{5} + 20405 x^{4} - 23638 x^{3} + 53511 x^{2} + 24250 x + 15625$ |
$16$ |
[0,8] |
$3^{14}\cdot 43^{12}$ |
$2$ |
$43.9119213145$ |
$43.91192131447298$ |
|
✓ |
|
$QD_{16}$ (as 16T12) |
$[3, 3]$ |
$6$ |
$7$ |
$8934543.27914$ |
| 16.0.272...081.4 |
$x^{16} - 2 x^{15} - 26 x^{14} + 97 x^{13} + 222 x^{12} - 1649 x^{11} + 2145 x^{10} + 3620 x^{9} - 6441 x^{8} - 11003 x^{7} + 13201 x^{6} + 21811 x^{5} + 35690 x^{4} - 177095 x^{3} + 212585 x^{2} - 32622 x + 22987$ |
$16$ |
[0,8] |
$13^{12}\cdot 43^{8}$ |
$2$ |
$44.8943555805$ |
$44.89435558045543$ |
|
✓ |
|
$QD_{16}$ (as 16T12) |
$[4]$ |
$2$ |
$7$ |
$3807723.11422$ |
| 16.0.141...561.5 |
$x^{16} - 2 x^{15} - 15 x^{14} + 17 x^{13} + 108 x^{12} - 47 x^{11} + 453 x^{10} - 4466 x^{9} + 10451 x^{8} - 27969 x^{7} + 64250 x^{6} - 133292 x^{5} + 359613 x^{4} - 301048 x^{3} + 604461 x^{2} - 1094445 x + 543169$ |
$16$ |
[0,8] |
$11^{8}\cdot 37^{12}$ |
$2$ |
$49.7562493545$ |
$49.75624935454214$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
$[4]$ |
$2$ |
$7$ |
$1290119.85307$ |
| 16.16.145...641.1 |
$x^{16} - 2 x^{15} - 44 x^{14} + 4 x^{13} + 489 x^{12} - 41 x^{11} - 2481 x^{10} + 1058 x^{9} + 5943 x^{8} - 5231 x^{7} - 4418 x^{6} + 7321 x^{5} - 2683 x^{4} - 56 x^{3} + 164 x^{2} - 24 x + 1$ |
$16$ |
[16,0] |
$13^{12}\cdot 53^{8}$ |
$2$ |
$49.8419986437$ |
$49.84199864366084$ |
|
✓ |
|
$QD_{16}$ (as 16T12) |
trivial |
$2$ |
$15$ |
$516194249.44$ |
| 16.0.283...441.3 |
$x^{16} - 2 x^{15} - 25 x^{14} + 36 x^{13} + 216 x^{12} - 324 x^{11} + 679 x^{10} + 6422 x^{9} + 2927 x^{8} + 1374 x^{7} + 14311 x^{6} - 22802 x^{5} - 16736 x^{4} - 47978 x^{3} - 157563 x^{2} + 76048 x + 231623$ |
$16$ |
[0,8] |
$7^{8}\cdot 53^{12}$ |
$2$ |
$51.9703835749$ |
$51.97038357490805$ |
|
✓ |
|
$QD_{16}$ (as 16T12) |
$[2]$ |
$2$ |
$7$ |
$21203688.514$ |
| 16.0.285...089.4 |
$x^{16} - 8 x^{15} + 26 x^{14} - 8 x^{13} - 102 x^{12} - 158 x^{11} + 2102 x^{10} - 4202 x^{9} + 4010 x^{8} - 26056 x^{7} + 129750 x^{6} - 242978 x^{5} + 262361 x^{4} - 607918 x^{3} + 1746316 x^{2} - 1857456 x + 630208$ |
$16$ |
[0,8] |
$17^{14}\cdot 19^{8}$ |
$2$ |
$52.0019472831$ |
$52.00194728311084$ |
|
✓ |
|
$QD_{16}$ (as 16T12) |
$[8]$ |
$2$ |
$7$ |
$11728094.3015$ |
| 16.16.446...161.1 |
$x^{16} - 2 x^{15} - 47 x^{14} + 84 x^{13} + 830 x^{12} - 1285 x^{11} - 6962 x^{10} + 8567 x^{9} + 29036 x^{8} - 23444 x^{7} - 56582 x^{6} + 17003 x^{5} + 42505 x^{4} + 2494 x^{3} - 9018 x^{2} - 1896 x + 107$ |
$16$ |
[16,0] |
$13^{12}\cdot 61^{8}$ |
$2$ |
$53.4715079406$ |
$53.471507940612106$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
trivial |
$2$ |
$15$ |
$410433815.678$ |
| 16.0.110...321.1 |
$x^{16} - 2 x^{15} + 3 x^{14} + 67 x^{13} + 19 x^{12} - 142 x^{11} + 792 x^{10} + 1862 x^{9} + 7725 x^{8} + 6707 x^{7} - 17082 x^{6} + 2780 x^{5} + 54986 x^{4} + 52783 x^{3} + 32352 x^{2} - 2819 x + 11519$ |
$16$ |
[0,8] |
$7^{12}\cdot 19^{14}$ |
$2$ |
$56.5891187539$ |
$56.58911875386272$ |
|
✓ |
|
$QD_{16}$ (as 16T12) |
trivial |
$2$ |
$7$ |
$25363590.094$ |
| 16.0.138...121.12 |
$x^{16} - 3 x^{15} + 28 x^{14} - 114 x^{13} + 852 x^{12} - 3491 x^{11} + 17733 x^{10} - 66039 x^{9} + 237086 x^{8} - 657477 x^{7} + 1657820 x^{6} - 3644405 x^{5} + 6687334 x^{4} - 9559647 x^{3} + 9697143 x^{2} - 6329080 x + 2032643$ |
$16$ |
[0,8] |
$17^{12}\cdot 47^{8}$ |
$2$ |
$57.3965277248$ |
$57.396527724841604$ |
|
✓ |
|
$QD_{16}$ (as 16T12) |
$[2, 2, 20]$ |
$2$ |
$7$ |
$439805.205951$ |
| 16.0.391...609.1 |
$x^{16} - 2 x^{15} + 9 x^{14} + 92 x^{13} + 89 x^{12} - 840 x^{11} - 1775 x^{10} + 1696 x^{9} + 5097 x^{8} + 3274 x^{7} + 32545 x^{6} + 33990 x^{5} - 53896 x^{4} + 180536 x^{3} + 1069344 x^{2} + 1863904 x + 1577536$ |
$16$ |
[0,8] |
$3^{14}\cdot 67^{12}$ |
$2$ |
$61.2402845424$ |
$61.24028454242083$ |
|
✓ |
|
$QD_{16}$ (as 16T12) |
trivial |
$6$ |
$7$ |
$1128505968.29$ |
| 16.0.105...721.1 |
$x^{16} - 2 x^{15} - 26 x^{14} + 104 x^{13} - 239 x^{12} + 290 x^{11} + 3372 x^{10} - 24160 x^{9} + 135908 x^{8} - 592576 x^{7} + 1771924 x^{6} - 3671311 x^{5} + 5411845 x^{4} - 5547846 x^{3} + 3633675 x^{2} - 1274255 x + 176983$ |
$16$ |
[0,8] |
$11^{8}\cdot 53^{12}$ |
$2$ |
$65.1483235813$ |
$65.14832358127524$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
$[3, 6]$ |
$2$ |
$7$ |
$5314852.37338$ |
| 16.0.236...801.16 |
$x^{16} - 2 x^{15} + 2 x^{14} + 54 x^{13} + 51 x^{12} - 686 x^{11} + 3527 x^{10} - 1820 x^{9} - 30601 x^{8} + 136034 x^{7} - 124185 x^{6} - 473688 x^{5} + 2051118 x^{4} - 1944392 x^{3} - 1582275 x^{2} + 3764514 x + 3143164$ |
$16$ |
[0,8] |
$17^{12}\cdot 67^{8}$ |
$2$ |
$68.528952331$ |
$68.52895233095656$ |
|
✓ |
|
$QD_{16}$ (as 16T12) |
$[2, 2, 4]$ |
$2$ |
$7$ |
$99025228.2163$ |
| 16.0.282...329.1 |
$x^{16} - 2 x^{15} - 118 x^{13} - 19 x^{12} + 1575 x^{11} + 2191 x^{10} - 2153 x^{9} - 351 x^{8} + 178093 x^{7} + 1088971 x^{6} + 1254015 x^{5} + 4489289 x^{4} - 3024586 x^{3} + 37624698 x^{2} - 30305084 x + 27952369$ |
$16$ |
[0,8] |
$3^{14}\cdot 79^{12}$ |
$2$ |
$69.2949229727$ |
$69.29492297269762$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
$[9, 45]$ |
$6$ |
$7$ |
$609706.825434$ |
| 16.16.400...161.1 |
$x^{16} - 97 x^{14} - 126 x^{13} + 3396 x^{12} + 8716 x^{11} - 45478 x^{10} - 190092 x^{9} + 62158 x^{8} + 1261949 x^{7} + 1827770 x^{6} - 537602 x^{5} - 3462683 x^{4} - 2820970 x^{3} - 267121 x^{2} + 597619 x + 201601$ |
$16$ |
[16,0] |
$13^{8}\cdot 53^{12}$ |
$2$ |
$70.8236945783$ |
$70.82369457825733$ |
|
✓ |
? |
$QD_{16}$ (as 16T12) |
trivial |
$2$ |
$15$ |
$3296211055.51$ |
| 16.16.440...625.1 |
$x^{16} - 2 x^{15} - 78 x^{14} + 159 x^{13} + 2362 x^{12} - 5016 x^{11} - 34929 x^{10} + 79762 x^{9} + 256088 x^{8} - 659347 x^{7} - 785803 x^{6} + 2560624 x^{5} + 268374 x^{4} - 3315295 x^{3} + 864770 x^{2} + 891400 x - 317375$ |
$16$ |
[16,0] |
$5^{8}\cdot 101^{12}$ |
$2$ |
$71.2403480386$ |
$71.24034803863643$ |
|
✓ |
|
$QD_{16}$ (as 16T12) |
trivial |
$2$ |
$15$ |
$18951197490.7$ |
