| 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 |
| 16.0.72057594037927936.1 |
$x^{16} - 4 x^{12} + 22 x^{8} - 4 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{56}$ |
$1$ |
$11.313708499$ |
$14.050017282986396$ |
|
|
? |
$C_2^3:C_4$ (as 16T33) |
trivial |
$8$ |
$7$ |
$308.221224108$ |
| 16.0.288230376151711744.3 |
$x^{16} - 8 x^{14} + 32 x^{12} - 104 x^{10} + 194 x^{8} - 104 x^{6} + 32 x^{4} - 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{58}$ |
$1$ |
$12.3376866033$ |
$14.050017282986396$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
trivial |
$8$ |
$7$ |
$790.814643504$ |
| 16.0.530...000.1 |
$x^{16} + 4 x^{14} - 4 x^{10} + 34 x^{8} - 4 x^{6} + 4 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{28}\cdot 3^{4}\cdot 5^{12}$ |
$3$ |
$14.8016560898$ |
$19.480074928505935$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
$[2]$ |
$4$ |
$7$ |
$766.799616622$ |
| 16.0.530...000.2 |
$x^{16} - 4 x^{15} + 8 x^{14} - 16 x^{13} + 8 x^{12} + 16 x^{11} + 20 x^{9} - 14 x^{8} - 20 x^{7} - 16 x^{5} + 8 x^{4} + 16 x^{3} + 8 x^{2} + 4 x + 1$ |
$16$ |
[0,8] |
$2^{28}\cdot 3^{4}\cdot 5^{12}$ |
$3$ |
$14.8016560898$ |
$19.480074928505935$ |
|
|
? |
$C_2^3:C_4$ (as 16T33) |
$[2]$ |
$4$ |
$7$ |
$1070.46014902$ |
| 16.0.107...000.3 |
$x^{16} - 8 x^{15} + 28 x^{14} - 52 x^{13} + 36 x^{12} + 68 x^{11} - 204 x^{10} + 228 x^{9} - 61 x^{8} - 188 x^{7} + 348 x^{6} - 340 x^{5} + 228 x^{4} - 108 x^{3} + 36 x^{2} - 8 x + 1$ |
$16$ |
[0,8] |
$2^{40}\cdot 5^{10}$ |
$2$ |
$15.467895946$ |
$18.914832180063517$ |
|
|
? |
$C_2^3:C_4$ (as 16T33) |
trivial |
$4$ |
$7$ |
$2042.10948725$ |
| 16.0.107...000.5 |
$x^{16} - 8 x^{15} + 32 x^{14} - 84 x^{13} + 174 x^{12} - 308 x^{11} + 444 x^{10} - 476 x^{9} + 377 x^{8} - 252 x^{7} + 216 x^{6} - 268 x^{5} + 292 x^{4} - 164 x^{3} + 24 x^{2} + 5$ |
$16$ |
[0,8] |
$2^{40}\cdot 5^{10}$ |
$2$ |
$15.467895946$ |
$18.914832180063517$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
trivial |
$4$ |
$7$ |
$3713.68913152$ |
| 16.0.171...000.2 |
$x^{16} - 6 x^{15} + 16 x^{14} - 24 x^{13} + 20 x^{12} - 6 x^{11} + 12 x^{10} - 30 x^{9} + 59 x^{8} - 30 x^{7} + 12 x^{6} - 6 x^{5} + 20 x^{4} - 24 x^{3} + 16 x^{2} - 6 x + 1$ |
$16$ |
[0,8] |
$2^{28}\cdot 3^{8}\cdot 5^{10}$ |
$3$ |
$15.9301319274$ |
$19.480074928505935$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
$[2]$ |
$4$ |
$7$ |
$1764.69021733$ |
| 16.0.171...000.3 |
$x^{16} - 8 x^{14} + 24 x^{12} + 16 x^{10} + 24 x^{8} - 8 x^{6} + 56 x^{4} + 100$ |
$16$ |
[0,8] |
$2^{28}\cdot 3^{8}\cdot 5^{10}$ |
$3$ |
$15.9301319274$ |
$19.480074928505935$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
$[2]$ |
$4$ |
$7$ |
$2463.52568788$ |
| 16.0.233...264.4 |
$x^{16} - 16 x^{14} - 8 x^{13} + 100 x^{12} + 104 x^{11} - 216 x^{10} - 256 x^{9} + 264 x^{8} + 256 x^{7} - 216 x^{6} - 104 x^{5} + 100 x^{4} + 8 x^{3} - 16 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{58}\cdot 3^{4}$ |
$2$ |
$16.237308718507236$ |
$24.33534378135327$ |
|
|
? |
$C_2^3:C_4$ (as 16T33) |
trivial |
$8$ |
$7$ |
$7275.8740359507965$ |
| 16.0.233...264.8 |
$x^{16} - 8 x^{15} + 24 x^{14} - 24 x^{13} - 48 x^{12} + 208 x^{11} - 312 x^{10} + 160 x^{9} + 336 x^{8} - 936 x^{7} + 1240 x^{6} - 1112 x^{5} + 712 x^{4} - 336 x^{3} + 136 x^{2} - 48 x + 9$ |
$16$ |
[0,8] |
$2^{58}\cdot 3^{4}$ |
$2$ |
$16.237308718507236$ |
$24.33534378135327$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
trivial |
$8$ |
$7$ |
$9852.651695712122$ |
| 16.0.779...625.1 |
$x^{16} + 7 x^{14} - 14 x^{12} - 8 x^{10} + 29 x^{8} - 8 x^{6} - 14 x^{4} + 7 x^{2} + 1$ |
$16$ |
[0,8] |
$5^{10}\cdot 41^{8}$ |
$2$ |
$17.5084693834$ |
$21.410136276713814$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
trivial |
$2$ |
$7$ |
$6041.00231137$ |
| 16.0.119...144.8 |
$x^{16} - 2 x^{15} + x^{14} + 8 x^{13} - 40 x^{12} + 56 x^{11} - 24 x^{10} - 112 x^{9} + 383 x^{8} - 598 x^{7} + 723 x^{6} - 544 x^{5} + 384 x^{4} - 104 x^{3} + 92 x^{2} + 32$ |
$16$ |
[0,8] |
$2^{34}\cdot 17^{8}$ |
$2$ |
$17.9851142693$ |
$27.736837922354518$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
trivial |
$2$ |
$7$ |
$76945.8851596$ |
| 16.0.119...144.9 |
$x^{16} - 8 x^{15} + 28 x^{14} - 56 x^{13} + 70 x^{12} - 56 x^{11} + 144 x^{10} - 588 x^{9} + 1190 x^{8} - 1276 x^{7} + 754 x^{6} - 232 x^{5} + 61 x^{4} - 64 x^{3} + 48 x^{2} - 16 x + 2$ |
$16$ |
[0,8] |
$2^{34}\cdot 17^{8}$ |
$2$ |
$17.9851142693$ |
$27.736837922354518$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
trivial |
$2$ |
$7$ |
$11218.0567044$ |
| 16.0.268...000.2 |
$x^{16} - 4 x^{15} + 4 x^{14} + 16 x^{13} - 36 x^{12} - 76 x^{11} + 408 x^{10} - 712 x^{9} + 691 x^{8} - 460 x^{7} + 368 x^{6} - 312 x^{5} + 204 x^{4} - 40 x^{3} + 8 x + 1$ |
$16$ |
[0,8] |
$2^{40}\cdot 5^{12}$ |
$2$ |
$18.9148321801$ |
$18.914832180063517$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
$[2]$ |
$4$ |
$7$ |
$6060.05248189$ |
| 16.0.268...000.4 |
$x^{16} - 8 x^{15} + 40 x^{14} - 140 x^{13} + 386 x^{12} - 860 x^{11} + 1576 x^{10} - 2380 x^{9} + 3001 x^{8} - 3180 x^{7} + 2820 x^{6} - 2052 x^{5} + 1196 x^{4} - 540 x^{3} + 180 x^{2} - 40 x + 5$ |
$16$ |
[0,8] |
$2^{40}\cdot 5^{12}$ |
$2$ |
$18.9148321801$ |
$18.914832180063517$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
$[2]$ |
$4$ |
$7$ |
$11020.5408569$ |
| 16.0.472...096.13 |
$x^{16} - 28 x^{12} + 342 x^{8} - 28 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{56}\cdot 3^{8}$ |
$2$ |
$19.595917942265423$ |
$24.33534378135327$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
$[2]$ |
$8$ |
$7$ |
$27911.90132696012$ |
| 16.0.472...096.41 |
$x^{16} + 4 x^{14} - 24 x^{13} - 28 x^{12} - 48 x^{11} + 244 x^{10} + 288 x^{9} + 760 x^{8} - 864 x^{7} + 284 x^{6} - 3384 x^{5} + 2900 x^{4} - 2688 x^{3} + 4892 x^{2} - 2400 x + 337$ |
$16$ |
[0,8] |
$2^{56}\cdot 3^{8}$ |
$2$ |
$19.595917942265423$ |
$24.33534378135327$ |
|
|
? |
$C_2^3:C_4$ (as 16T33) |
$[2]$ |
$8$ |
$7$ |
$14693.25814620877$ |
| 16.0.472...096.42 |
$x^{16} - 12 x^{12} + 38 x^{8} - 108 x^{4} + 625$ |
$16$ |
[0,8] |
$2^{56}\cdot 3^{8}$ |
$2$ |
$19.595917942265423$ |
$24.33534378135327$ |
|
|
? |
$C_2^3:C_4$ (as 16T33) |
$[2]$ |
$8$ |
$7$ |
$20612.063070009037$ |
| 16.0.164...729.3 |
$x^{16} - 4 x^{15} + 4 x^{14} + 9 x^{13} - 16 x^{12} - 16 x^{11} + 23 x^{10} + 140 x^{9} - 222 x^{8} - 317 x^{7} + 1076 x^{6} - 632 x^{5} - 455 x^{4} + 462 x^{3} + 36 x^{2} - 88 x + 16$ |
$16$ |
[0,8] |
$13^{8}\cdot 17^{10}$ |
$2$ |
$21.1837211995$ |
$30.186194580660594$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
trivial |
$2$ |
$7$ |
$13880.0330176$ |
| 16.0.187...625.2 |
$x^{16} - 4 x^{15} + 10 x^{14} - 20 x^{13} + 62 x^{12} - 178 x^{11} + 410 x^{10} - 710 x^{9} + 1146 x^{8} - 1668 x^{7} + 2314 x^{6} - 2822 x^{5} + 3045 x^{4} - 2574 x^{3} + 1860 x^{2} - 872 x + 304$ |
$16$ |
[0,8] |
$5^{10}\cdot 61^{8}$ |
$2$ |
$21.3560618624$ |
$26.115143751039085$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
trivial |
$2$ |
$7$ |
$22677.4816599$ |
| 16.0.189...384.53 |
$x^{16} - 8 x^{15} + 48 x^{14} - 192 x^{13} + 620 x^{12} - 1640 x^{11} + 3600 x^{10} - 6688 x^{9} + 10518 x^{8} - 14000 x^{7} + 15768 x^{6} - 15040 x^{5} + 12068 x^{4} - 7968 x^{3} + 4104 x^{2} - 1408 x + 226$ |
$16$ |
[0,8] |
$2^{58}\cdot 3^{8}$ |
$2$ |
$21.36950004471431$ |
$24.33534378135327$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
$[2]$ |
$8$ |
$7$ |
$37699.03820359459$ |
| 16.8.194...625.1 |
$x^{16} - 5 x^{14} - 16 x^{12} + 25 x^{10} + 71 x^{8} + 25 x^{6} - 16 x^{4} - 5 x^{2} + 1$ |
$16$ |
[8,4] |
$5^{12}\cdot 41^{8}$ |
$2$ |
$21.4101362767$ |
$21.410136276713814$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
trivial |
$2$ |
$11$ |
$62312.6670751$ |
| 16.0.255...409.3 |
$x^{16} - 8 x^{15} + 32 x^{14} - 78 x^{13} + 130 x^{12} - 166 x^{11} + 268 x^{10} - 514 x^{9} + 565 x^{8} - 540 x^{7} - 202 x^{6} + 1084 x^{5} + 85 x^{4} + 444 x^{3} + 1221 x^{2} + 666 x + 111$ |
$16$ |
[0,8] |
$3^{12}\cdot 37^{10}$ |
$2$ |
$21.7754439786$ |
$34.197332740531884$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
$[4]$ |
$6$ |
$7$ |
$34293.5127133$ |
| 16.0.216...625.5 |
$x^{16} - 6 x^{15} + 11 x^{14} + 12 x^{13} - 79 x^{12} + 124 x^{11} + 8 x^{10} - 32 x^{9} - 687 x^{8} + 934 x^{7} + 1800 x^{6} - 11022 x^{5} + 27126 x^{4} - 37120 x^{3} + 32730 x^{2} - 21280 x + 8105$ |
$16$ |
[0,8] |
$5^{10}\cdot 19^{12}$ |
$2$ |
$24.8840722382$ |
$30.429351993705872$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
$[4]$ |
$2$ |
$7$ |
$25802.5997037$ |
| 16.8.468...625.1 |
$x^{16} + 5 x^{14} - 31 x^{12} - 50 x^{10} + 166 x^{8} - 50 x^{6} - 31 x^{4} + 5 x^{2} + 1$ |
$16$ |
[8,4] |
$5^{12}\cdot 61^{8}$ |
$2$ |
$26.115143751$ |
$26.115143751039085$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
trivial |
$2$ |
$11$ |
$584759.907381$ |
| 16.0.689...889.2 |
$x^{16} - 4 x^{15} + 20 x^{14} - 75 x^{13} + 234 x^{12} - 586 x^{11} + 1265 x^{10} - 2228 x^{9} + 3366 x^{8} - 4331 x^{7} + 5144 x^{6} - 5434 x^{5} + 5155 x^{4} - 3820 x^{3} + 2452 x^{2} - 1328 x + 368$ |
$16$ |
[0,8] |
$13^{10}\cdot 29^{8}$ |
$2$ |
$26.7555322062$ |
$36.868588674506164$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
trivial |
$2$ |
$7$ |
$162678.83983$ |
| 16.0.102...625.4 |
$x^{16} - 3 x^{15} - 7 x^{14} + 11 x^{13} + 113 x^{12} - 226 x^{11} - 143 x^{10} - 199 x^{9} + 3108 x^{8} - 4526 x^{7} + 1698 x^{6} - 7747 x^{5} + 27621 x^{4} - 35200 x^{3} + 18760 x^{2} - 3400 x + 400$ |
$16$ |
[0,8] |
$5^{12}\cdot 29^{10}$ |
$2$ |
$27.4300280641$ |
$41.78553833475025$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
$[4]$ |
$2$ |
$7$ |
$73371.5821514$ |
| 16.0.102...625.6 |
$x^{16} - 7 x^{15} + 23 x^{14} - 50 x^{13} + 115 x^{12} - 263 x^{11} + 384 x^{10} - 245 x^{9} + 289 x^{8} - 890 x^{7} + 1101 x^{6} - 1581 x^{5} + 3875 x^{4} - 7140 x^{3} + 8532 x^{2} - 5184 x + 1296$ |
$16$ |
[0,8] |
$5^{12}\cdot 29^{10}$ |
$2$ |
$27.4300280641$ |
$41.78553833475025$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
$[4]$ |
$2$ |
$7$ |
$119871.996246$ |
| 16.8.105...625.3 |
$x^{16} - 10 x^{14} - 9 x^{12} + 105 x^{10} + 111 x^{8} - 420 x^{6} - 114 x^{4} - 65 x^{2} + 1$ |
$16$ |
[8,4] |
$5^{10}\cdot 101^{8}$ |
$2$ |
$27.4800133646$ |
$33.60378443921746$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
trivial |
$2$ |
$11$ |
$1022779.0833$ |
| 16.0.379...041.4 |
$x^{16} - 5 x^{15} - 4 x^{14} + 57 x^{13} - 83 x^{12} - 193 x^{11} + 1042 x^{10} - 682 x^{9} - 1226 x^{8} + 1038 x^{7} - 5305 x^{6} + 4294 x^{5} + 6685 x^{4} + 1566 x^{3} + 8184 x^{2} - 9072 x + 2352$ |
$16$ |
[0,8] |
$3^{12}\cdot 61^{10}$ |
$2$ |
$29.7626836291$ |
$49.755181783405924$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
$[4]$ |
$6$ |
$7$ |
$505125.641002$ |
| 16.0.475...681.1 |
$x^{16} - 7 x^{14} - x^{12} + 67 x^{10} + 136 x^{8} + 67 x^{6} - x^{4} - 7 x^{2} + 1$ |
$16$ |
[0,8] |
$13^{8}\cdot 17^{12}$ |
$2$ |
$30.1861945807$ |
$30.186194580660594$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
$[4]$ |
$2$ |
$7$ |
$55520.1320704$ |
| 16.0.490...824.1 |
$x^{16} + 24 x^{14} + 224 x^{12} + 1044 x^{10} + 2629 x^{8} + 3612 x^{6} + 2536 x^{4} + 712 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{46}\cdot 17^{8}$ |
$2$ |
$30.247236234$ |
$42.77605170644063$ |
✓ |
|
? |
$C_2^3:C_4$ (as 16T33) |
$[2, 2, 4]$ |
$2$ |
$7$ |
$22598.9729953$ |
| 16.16.490...824.1 |
$x^{16} - 24 x^{14} + 224 x^{12} - 1044 x^{10} + 2629 x^{8} - 3612 x^{6} + 2536 x^{4} - 712 x^{2} + 4$ |
$16$ |
[16,0] |
$2^{46}\cdot 17^{8}$ |
$2$ |
$30.247236234$ |
$42.77605170644063$ |
|
|
? |
$C_2^3:C_4$ (as 16T33) |
trivial |
$2$ |
$15$ |
$11456519.5723$ |
| 16.0.540...625.2 |
$x^{16} + 15 x^{14} + 106 x^{12} + 475 x^{10} + 1486 x^{8} + 3230 x^{6} + 4576 x^{4} + 3715 x^{2} + 1296$ |
$16$ |
[0,8] |
$5^{12}\cdot 19^{12}$ |
$2$ |
$30.4293519937$ |
$30.429351993705872$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
$[2, 8]$ |
$2$ |
$7$ |
$71285.5480074$ |
| 16.0.264...625.12 |
$x^{16} - 8 x^{14} + 78 x^{12} + 94 x^{10} - 295 x^{8} + 54 x^{6} + 2413 x^{4} - 3573 x^{2} + 3136$ |
$16$ |
[0,8] |
$5^{12}\cdot 101^{8}$ |
$2$ |
$33.6037844392$ |
$33.60378443921746$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
$[2, 2, 4]$ |
$2$ |
$7$ |
$216649.138533$ |
| 16.0.345...625.6 |
$x^{16} - 2 x^{15} + 6 x^{14} + 8 x^{13} + 9 x^{12} + 62 x^{11} + 657 x^{10} - 416 x^{9} - 2247 x^{8} + 2722 x^{7} + 5093 x^{6} - 5996 x^{5} - 1956 x^{4} + 5684 x^{3} - 2001 x^{2} - 1624 x + 1856$ |
$16$ |
[0,8] |
$5^{10}\cdot 29^{12}$ |
$2$ |
$34.1707688895$ |
$41.78553833475025$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
$[3, 12]$ |
$2$ |
$7$ |
$119871.996246$ |
| 16.0.345...625.8 |
$x^{16} - 3 x^{15} - 3 x^{14} + 12 x^{13} - 19 x^{12} + 100 x^{11} - 70 x^{10} + 95 x^{9} - 90 x^{8} - 1065 x^{7} + 3906 x^{6} - 6078 x^{5} + 6817 x^{4} - 7738 x^{3} + 11971 x^{2} - 13835 x + 7295$ |
$16$ |
[0,8] |
$5^{10}\cdot 29^{12}$ |
$2$ |
$34.1707688895$ |
$41.78553833475025$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
$[3, 12]$ |
$2$ |
$7$ |
$73371.5821514$ |
| 16.0.349...921.2 |
$x^{16} - 8 x^{15} + 18 x^{14} + 14 x^{13} - 75 x^{12} - 96 x^{11} + 301 x^{10} + 662 x^{9} + 198 x^{8} - 8108 x^{7} + 11425 x^{6} + 360 x^{5} - 3372 x^{4} - 6392 x^{3} + 2064 x^{2} + 3008 x + 4288$ |
$16$ |
[0,8] |
$3^{12}\cdot 37^{12}$ |
$2$ |
$34.1973327405$ |
$34.197332740531884$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
$[2, 8]$ |
$6$ |
$7$ |
$292944.962933$ |
| 16.8.858...489.4 |
$x^{16} - 6 x^{15} + x^{14} + 49 x^{13} - 141 x^{12} + 33 x^{11} + 813 x^{10} - 1008 x^{9} - 149 x^{8} + 5648 x^{7} - 1418 x^{6} - 9723 x^{5} - 331 x^{4} + 5028 x^{3} + 192 x^{2} - 728 x + 208$ |
$16$ |
[8,4] |
$13^{10}\cdot 53^{8}$ |
$2$ |
$36.1703349077$ |
$49.84199864366084$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
trivial |
$2$ |
$11$ |
$9241015.28903$ |
| 16.8.116...241.1 |
$x^{16} - 2 x^{15} + 2 x^{14} - 33 x^{13} + 53 x^{12} + 83 x^{11} - 77 x^{10} + 51 x^{9} - 1774 x^{8} + 1850 x^{7} + 5383 x^{6} - 6162 x^{5} - 5048 x^{4} + 6520 x^{3} + 992 x^{2} - 3360 x - 576$ |
$16$ |
[8,4] |
$13^{12}\cdot 29^{8}$ |
$2$ |
$36.8685886745$ |
$36.868588674506164$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
trivial |
$2$ |
$11$ |
$19014964.3925$ |
| 16.0.119...000.1 |
$x^{16} - 8 x^{15} + 34 x^{14} - 78 x^{13} + 166 x^{12} - 296 x^{11} + 592 x^{10} - 1594 x^{9} + 3932 x^{8} - 9382 x^{7} + 20318 x^{6} - 34912 x^{5} + 44991 x^{4} - 39494 x^{3} + 23226 x^{2} - 7276 x + 1076$ |
$16$ |
[0,8] |
$2^{8}\cdot 5^{12}\cdot 61^{8}$ |
$3$ |
$36.932390476$ |
$52.23028750207817$ |
✓ |
|
|
$C_2^3:C_4$ (as 16T33) |
$[2, 2, 4]$ |
$2$ |
$7$ |
$160289.989776$ |
| 16.16.119...000.1 |
$x^{16} - 8 x^{15} + 4 x^{14} + 112 x^{13} - 254 x^{12} - 296 x^{11} + 1457 x^{10} - 949 x^{9} - 1463 x^{8} + 1998 x^{7} - 97 x^{6} - 807 x^{5} + 256 x^{4} + 86 x^{3} - 39 x^{2} - x + 1$ |
$16$ |
[16,0] |
$2^{8}\cdot 5^{12}\cdot 61^{8}$ |
$3$ |
$36.932390476$ |
$52.23028750207817$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
trivial |
$2$ |
$15$ |
$31643195.2071$ |
| 16.8.264...569.5 |
$x^{16} - 8 x^{15} + 8 x^{14} + 84 x^{13} - 150 x^{12} - 556 x^{11} + 938 x^{10} + 3362 x^{9} - 5172 x^{8} - 10748 x^{7} + 17454 x^{6} + 10916 x^{5} - 19717 x^{4} - 3822 x^{3} - 9984 x^{2} + 17394 x + 9763$ |
$16$ |
[8,4] |
$13^{10}\cdot 61^{8}$ |
$2$ |
$38.8042695491$ |
$53.471507940612106$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
trivial |
$2$ |
$11$ |
$17569347.9344$ |
| 16.8.431...625.2 |
$x^{16} - 4 x^{15} - 10 x^{14} + 127 x^{13} - 380 x^{12} - 84 x^{11} + 890 x^{10} + 591 x^{9} - 2244 x^{8} - 1586 x^{7} + 3018 x^{6} + 2649 x^{5} - 501 x^{4} - 2078 x^{3} - 204 x^{2} + 520 x - 80$ |
$16$ |
[8,4] |
$5^{8}\cdot 101^{10}$ |
$2$ |
$40.0115946853$ |
$71.24034803863643$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
trivial |
$2$ |
$11$ |
$35504723.7489$ |
| 16.0.469...969.7 |
$x^{16} - 8 x^{15} + 58 x^{14} - 266 x^{13} + 1023 x^{12} - 3044 x^{11} + 7385 x^{10} - 14408 x^{9} + 21952 x^{8} - 25692 x^{7} + 20601 x^{6} - 8502 x^{5} - 1564 x^{4} + 4240 x^{3} + 11504 x^{2} - 13280 x + 8128$ |
$16$ |
[0,8] |
$13^{12}\cdot 17^{10}$ |
$2$ |
$40.2242624916$ |
$57.318419318377835$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
$[2]$ |
$2$ |
$7$ |
$7162693.22826$ |
| 16.0.480...689.6 |
$x^{16} - 4 x^{15} + 4 x^{14} - 11 x^{12} + 214 x^{11} - 181 x^{10} - 506 x^{9} + 1977 x^{8} - 954 x^{7} + 2107 x^{6} + 10450 x^{5} - 16 x^{4} + 934 x^{3} + 20095 x^{2} + 18530 x + 5644$ |
$16$ |
[0,8] |
$17^{10}\cdot 47^{8}$ |
$2$ |
$40.2790765126$ |
$57.396527724841604$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
$[20]$ |
$2$ |
$7$ |
$958441.505034$ |
| 16.0.924...625.2 |
$x^{16} + 23 x^{14} + 276 x^{12} + 2818 x^{10} + 20250 x^{8} + 86927 x^{6} + 243976 x^{4} + 501552 x^{2} + 531441$ |
$16$ |
[0,8] |
$5^{8}\cdot 109^{10}$ |
$2$ |
$41.9639695652$ |
$75.43187023636793$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
trivial |
$2$ |
$7$ |
$6889381.56239$ |
| 16.8.142...329.5 |
$x^{16} - 30 x^{14} + 367 x^{12} - 2637 x^{10} + 10547 x^{8} - 19670 x^{6} + 14277 x^{4} - 2912 x^{2} + 256$ |
$16$ |
[8,4] |
$13^{8}\cdot 53^{10}$ |
$2$ |
$43.1165590794$ |
$70.82369457825733$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
trivial |
$2$ |
$11$ |
$31553758.4088$ |
| 16.0.220...625.5 |
$x^{16} - 2 x^{15} - 17 x^{14} + 36 x^{13} + 141 x^{12} - 438 x^{11} + 255 x^{10} + 2168 x^{9} - 6440 x^{8} - 7008 x^{7} + 45751 x^{6} + 10856 x^{5} - 121567 x^{4} - 41412 x^{3} + 98626 x^{2} + 66550 x + 52645$ |
$16$ |
[0,8] |
$5^{10}\cdot 41^{12}$ |
$2$ |
$44.3041231153$ |
$54.17705527224281$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
$[2]$ |
$2$ |
$7$ |
$12961354.7506$ |
| 16.8.581...321.5 |
$x^{16} - 18 x^{14} + 127 x^{12} - 875 x^{10} + 4047 x^{8} - 17612 x^{6} + 47142 x^{4} - 37341 x^{2} + 6561$ |
$16$ |
[8,4] |
$13^{8}\cdot 61^{10}$ |
$2$ |
$47.0763543341$ |
$78.69897072385366$ |
|
|
|
$C_2^3:C_4$ (as 16T33) |
trivial |
$2$ |
$11$ |
$93957554.1918$ |
