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 |
16.0.6634204312890625.1 |
$x^{16} - 7 x^{15} + 27 x^{14} - 73 x^{13} + 160 x^{12} - 304 x^{11} + 509 x^{10} - 730 x^{9} + 869 x^{8} - 839 x^{7} + 654 x^{6} - 416 x^{5} + 221 x^{4} - 98 x^{3} + 34 x^{2} - 8 x + 1$ |
$16$ |
[0,8] |
$5^{8}\cdot 19^{8}$ |
$2$ |
$9.74679434481$ |
$9.746794344808963$ |
|
✓ |
? |
$D_{8}$ (as 16T13) |
trivial |
$2$ |
$7$ |
$11.4915268613$ |
16.0.23045377697175681.1 |
$x^{16} - x^{15} + 11 x^{13} - 14 x^{12} + 6 x^{11} + 23 x^{10} - 44 x^{9} + 45 x^{8} - 44 x^{7} + 23 x^{6} + 6 x^{5} - 14 x^{4} + 11 x^{3} - x + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 37^{8}$ |
$2$ |
$10.5356537529$ |
$10.535653752852738$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
trivial |
$6$ |
$7$ |
$82.0564715035$ |
16.0.117033789351264256.1 |
$x^{16} - 8 x^{15} + 32 x^{14} - 82 x^{13} + 153 x^{12} - 226 x^{11} + 274 x^{10} - 254 x^{9} + 144 x^{8} - 16 x^{7} - 36 x^{6} + 26 x^{5} - 7 x^{4} + 2 x^{3} + 2 x^{2} - 2 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 17^{8}$ |
$2$ |
$11.6619037897$ |
$11.661903789690601$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
trivial |
$4$ |
$7$ |
$170.642238459$ |
16.0.288230376151711744.4 |
$x^{16} + 6 x^{8} + 1$ |
$16$ |
[0,8] |
$2^{58}$ |
$1$ |
$12.3376866033$ |
$12.337686603263526$ |
|
✓ |
? |
$D_{8}$ (as 16T13) |
trivial |
$8$ |
$7$ |
$677.722537993$ |
16.0.523300059815673856.1 |
$x^{16} + 7 x^{14} + 17 x^{12} - 2 x^{10} - 30 x^{8} - 2 x^{6} + 17 x^{4} + 7 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 41^{8}$ |
$2$ |
$12.8062484749$ |
$12.806248474865697$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
trivial |
$4$ |
$7$ |
$552.250267653$ |
16.0.125...641.1 |
$x^{16} + 2 x^{14} - 14 x^{13} - 6 x^{12} - 21 x^{11} + 45 x^{10} + 43 x^{9} + 120 x^{8} + 96 x^{7} + 142 x^{6} + 99 x^{5} + 101 x^{4} + 58 x^{3} + 61 x^{2} + 5 x + 25$ |
$16$ |
[0,8] |
$3^{8}\cdot 61^{8}$ |
$2$ |
$13.5277492585$ |
$13.527749258468683$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
trivial |
$6$ |
$7$ |
$809.594531745$ |
16.0.113...384.2 |
$x^{16} + 2 x^{14} - 21 x^{12} - 14 x^{10} + 217 x^{8} - 308 x^{6} + 168 x^{4} - 40 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{24}\cdot 7^{14}$ |
$2$ |
$15.5240766539$ |
$15.524076653923595$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
trivial |
$4$ |
$7$ |
$3156.36633412$ |
16.0.113...384.3 |
$x^{16} + 2 x^{14} - 14 x^{10} + 49 x^{4} - 26 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{24}\cdot 7^{14}$ |
$2$ |
$15.5240766539$ |
$15.524076653923595$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
trivial |
$2$ |
$7$ |
$1569.86019374$ |
16.0.143...256.1 |
$x^{16} - 2 x^{15} - x^{14} - 10 x^{13} + 33 x^{12} - 28 x^{11} + 22 x^{10} - 72 x^{9} + 218 x^{8} - 128 x^{7} + 126 x^{6} - 204 x^{5} + 137 x^{4} - 78 x^{3} + 63 x^{2} - 14 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 31^{8}$ |
$2$ |
$15.748015748$ |
$15.748015748023622$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
$[3]$ |
$2$ |
$7$ |
$599.577705049$ |
16.0.184...616.3 |
$x^{16} - 8 x^{14} + 52 x^{12} - 168 x^{10} + 264 x^{8} - 168 x^{6} + 52 x^{4} - 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{64}$ |
$1$ |
$16.0$ |
$16.0$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
trivial |
$8$ |
$7$ |
$9919.13224445$ |
16.0.299...536.3 |
$x^{16} - 3 x^{12} + 64 x^{8} + 37 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 17^{8}$ |
$2$ |
$16.4924225025$ |
$16.492422502470642$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
trivial |
$4$ |
$7$ |
$3446.93143062$ |
16.0.435...625.3 |
$x^{16} - 7 x^{15} + 26 x^{14} - 74 x^{13} + 158 x^{12} - 246 x^{11} + 372 x^{10} - 634 x^{9} + 798 x^{8} - 656 x^{7} + 663 x^{6} - 741 x^{5} + 379 x^{4} + 10 x^{3} - 75 x^{2} + 50 x + 25$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{8}\cdot 19^{8}$ |
$3$ |
$16.8819430161$ |
$16.881943016134134$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
$[2]$ |
$2$ |
$7$ |
$2220.46808374$ |
16.0.444...625.1 |
$x^{16} - 7 x^{15} + 26 x^{14} - 62 x^{13} + 86 x^{12} - 71 x^{11} + 78 x^{10} - 126 x^{9} + 175 x^{8} - 126 x^{7} + 78 x^{6} - 71 x^{5} + 86 x^{4} - 62 x^{3} + 26 x^{2} - 7 x + 1$ |
$16$ |
[0,8] |
$3^{12}\cdot 5^{8}\cdot 11^{8}$ |
$3$ |
$16.9052767871$ |
$16.90527678711191$ |
|
✓ |
? |
$D_{8}$ (as 16T13) |
$[2]$ |
$2$ |
$7$ |
$1120.36474159$ |
16.0.444...625.3 |
$x^{16} - 3 x^{15} - x^{14} + 16 x^{13} - 28 x^{12} - 12 x^{11} + 98 x^{10} - 102 x^{9} - 62 x^{8} + 303 x^{7} - 203 x^{6} - 79 x^{5} + 414 x^{4} - 283 x^{3} + 181 x^{2} - 40 x + 25$ |
$16$ |
[0,8] |
$3^{12}\cdot 5^{8}\cdot 11^{8}$ |
$3$ |
$16.9052767871$ |
$16.90527678711191$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
$[2]$ |
$2$ |
$7$ |
$2497.48500982$ |
16.0.573...625.1 |
$x^{16} + 6 x^{14} - 7 x^{13} + 27 x^{12} - 43 x^{11} + 137 x^{10} - 155 x^{9} + 402 x^{8} - 413 x^{7} + 649 x^{6} - 349 x^{5} + 574 x^{4} + 206 x^{3} + 527 x^{2} + 546 x + 441$ |
$16$ |
[0,8] |
$5^{8}\cdot 59^{8}$ |
$2$ |
$17.1755640373$ |
$17.175564037317667$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
$[3]$ |
$2$ |
$7$ |
$859.305557763$ |
16.0.638...601.1 |
$x^{16} - 8 x^{15} + 26 x^{14} - 36 x^{13} + 38 x^{11} + 74 x^{10} - 280 x^{9} + 266 x^{8} - 100 x^{7} + 296 x^{6} - 702 x^{5} + 573 x^{4} + 72 x^{3} - 172 x^{2} + 16$ |
$16$ |
[0,8] |
$13^{8}\cdot 23^{8}$ |
$2$ |
$17.2916164658$ |
$17.291616465790582$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
$[3]$ |
$2$ |
$7$ |
$2823.55404905$ |
16.0.101...216.1 |
$x^{16} - 4 x^{15} + 4 x^{14} + 20 x^{13} - 38 x^{12} + 4 x^{11} + 140 x^{10} - 116 x^{9} - 198 x^{8} + 116 x^{7} + 140 x^{6} - 4 x^{5} - 38 x^{4} - 20 x^{3} + 4 x^{2} + 4 x + 1$ |
$16$ |
[0,8] |
$2^{44}\cdot 7^{8}$ |
$2$ |
$17.798422345$ |
$17.798422345016238$ |
|
✓ |
? |
$D_{8}$ (as 16T13) |
$[2]$ |
$2$ |
$7$ |
$3094.8131536$ |
16.0.101...216.5 |
$x^{16} - 4 x^{15} + 8 x^{14} - 8 x^{13} + 16 x^{12} - 56 x^{11} + 156 x^{10} - 376 x^{9} + 643 x^{8} - 796 x^{7} + 944 x^{6} - 912 x^{5} + 486 x^{4} - 216 x^{3} + 156 x^{2} + 14$ |
$16$ |
[0,8] |
$2^{44}\cdot 7^{8}$ |
$2$ |
$17.798422345$ |
$17.798422345016238$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
$[2]$ |
$2$ |
$7$ |
$6996.45481194$ |
16.0.109...000.9 |
$x^{16} - 4 x^{14} - 4 x^{12} + 32 x^{10} + 99 x^{8} + 96 x^{6} + 44 x^{4} - 20 x^{2} + 25$ |
$16$ |
[0,8] |
$2^{48}\cdot 5^{8}$ |
$2$ |
$17.88854382$ |
$17.88854381999832$ |
|
✓ |
? |
$D_{8}$ (as 16T13) |
trivial |
$4$ |
$7$ |
$4648.44617215$ |
16.0.109...000.10 |
$x^{16} - 4 x^{14} + 20 x^{12} + 35 x^{8} - 64 x^{6} + 36 x^{4} + 60 x^{2} + 25$ |
$16$ |
[0,8] |
$2^{48}\cdot 5^{8}$ |
$2$ |
$17.88854382$ |
$17.88854381999832$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
trivial |
$4$ |
$7$ |
$17780.6827043$ |
16.0.145...969.1 |
$x^{16} - 3 x^{15} + 6 x^{14} - 21 x^{13} + 28 x^{12} + 77 x^{11} - 224 x^{10} + 25 x^{9} + 548 x^{8} - 809 x^{7} + 434 x^{6} - 91 x^{5} + 189 x^{4} - 308 x^{3} + 244 x^{2} - 144 x + 64$ |
$16$ |
[0,8] |
$7^{14}\cdot 11^{8}$ |
$2$ |
$18.2035934486$ |
$18.203593448567553$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
trivial |
$2$ |
$7$ |
$13134.7691742$ |
16.0.358...161.1 |
$x^{16} - 4 x^{15} + 12 x^{14} - 36 x^{13} + 66 x^{12} - 44 x^{11} + 18 x^{10} + 102 x^{9} - 104 x^{8} + 180 x^{7} - 266 x^{6} + 92 x^{5} + 413 x^{4} - 826 x^{3} + 732 x^{2} - 336 x + 64$ |
$16$ |
[0,8] |
$7^{8}\cdot 53^{8}$ |
$2$ |
$19.2613602843$ |
$19.261360284258224$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
trivial |
$2$ |
$7$ |
$21725.25355$ |
16.0.399...376.1 |
$x^{16} - 2 x^{15} + 11 x^{14} - 26 x^{13} + 81 x^{12} - 160 x^{11} + 334 x^{10} - 532 x^{9} + 834 x^{8} - 932 x^{7} + 1142 x^{6} - 848 x^{5} - 119 x^{4} + 630 x^{3} - 189 x^{2} - 162 x + 81$ |
$16$ |
[0,8] |
$2^{24}\cdot 47^{8}$ |
$2$ |
$19.3907194297$ |
$19.390719429665317$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
$[5]$ |
$2$ |
$7$ |
$3314.20332109$ |
16.0.434...000.3 |
$x^{16} + x^{14} - 4 x^{12} - 18 x^{10} + 14 x^{8} + 61 x^{6} + 244 x^{4} - 20 x^{2} + 25$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{8}\cdot 19^{8}$ |
$3$ |
$19.4935886896$ |
$19.493588689617926$ |
|
✓ |
? |
$D_{8}$ (as 16T13) |
$[2]$ |
$2$ |
$7$ |
$2556.94695877$ |
16.0.592...625.1 |
$x^{16} + 2 x^{14} - 10 x^{13} + 7 x^{12} + 97 x^{10} + 388 x^{8} - 280 x^{7} + 881 x^{6} - 1030 x^{5} + 1488 x^{4} - 1080 x^{3} + 624 x^{2} - 320 x + 256$ |
$16$ |
[0,8] |
$5^{8}\cdot 79^{8}$ |
$2$ |
$19.8746069144$ |
$19.87460691435179$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
$[5]$ |
$2$ |
$7$ |
$5928.11603186$ |
16.0.642...801.1 |
$x^{16} - 2 x^{15} + 12 x^{14} - 46 x^{13} + 172 x^{12} - 387 x^{11} + 625 x^{10} - 636 x^{9} + 444 x^{8} - 362 x^{7} + 367 x^{6} - 294 x^{5} + 163 x^{4} - 78 x^{3} + 57 x^{2} - 36 x + 9$ |
$16$ |
[0,8] |
$3^{8}\cdot 7^{8}\cdot 19^{8}$ |
$3$ |
$19.9749843554$ |
$19.974984355438178$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
$[2]$ |
$6$ |
$7$ |
$11785.8542869$ |
16.0.642...801.3 |
$x^{16} - 4 x^{15} + 18 x^{14} - 53 x^{13} + 131 x^{12} - 306 x^{11} + 614 x^{10} - 1160 x^{9} + 2220 x^{8} - 4198 x^{7} + 7075 x^{6} - 9966 x^{5} + 11478 x^{4} - 10161 x^{3} + 6507 x^{2} - 2916 x + 729$ |
$16$ |
[0,8] |
$3^{8}\cdot 7^{8}\cdot 19^{8}$ |
$3$ |
$19.9749843554$ |
$19.974984355438178$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
$[2]$ |
$6$ |
$7$ |
$106358.98777$ |
16.0.752...401.1 |
$x^{16} - 8 x^{15} + 14 x^{14} + 42 x^{13} - 163 x^{12} + 68 x^{11} + 358 x^{10} - 459 x^{9} + 3 x^{8} + 58 x^{7} + 583 x^{6} - 1006 x^{5} + 960 x^{4} - 715 x^{3} + 143 x^{2} + 121 x + 121$ |
$16$ |
[0,8] |
$11^{8}\cdot 37^{8}$ |
$2$ |
$20.1742410018$ |
$20.174241001832016$ |
|
✓ |
? |
$D_{8}$ (as 16T13) |
$[2]$ |
$2$ |
$7$ |
$5099.43681828$ |
16.0.767...616.4 |
$x^{16} - 6 x^{13} + 9 x^{12} - 54 x^{11} + 18 x^{10} + 126 x^{9} - 196 x^{8} + 444 x^{7} + 540 x^{6} - 3762 x^{5} + 7785 x^{4} - 8262 x^{3} + 5202 x^{2} - 1734 x + 289$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{8}\cdot 17^{8}$ |
$3$ |
$20.1990098767$ |
$20.199009876724155$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
$[2]$ |
$4$ |
$7$ |
$12529.3021665$ |
16.0.130...625.2 |
$x^{16} - x^{15} + 7 x^{14} + 20 x^{12} - 4 x^{11} + 111 x^{10} - 245 x^{9} + 484 x^{8} - 445 x^{7} + 474 x^{6} + 163 x^{5} - 175 x^{4} + 58 x^{2} - 8 x + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{12}\cdot 13^{8}$ |
$3$ |
$20.8814093301$ |
$20.88140933013045$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
$[4]$ |
$6$ |
$7$ |
$10354.9857003$ |
16.0.130...625.5 |
$x^{16} - x^{14} + 56 x^{10} + 274 x^{8} + 651 x^{6} + 945 x^{4} + 594 x^{2} + 81$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{12}\cdot 13^{8}$ |
$3$ |
$20.8814093301$ |
$20.88140933013045$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
$[4]$ |
$6$ |
$7$ |
$81230.9904901$ |
16.0.151...016.1 |
$x^{16} - 3 x^{14} + 18 x^{12} - 56 x^{10} + 141 x^{8} - 324 x^{6} + 406 x^{4} - 111 x^{2} + 9$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 37^{8}$ |
$3$ |
$21.0713075057$ |
$21.071307505705477$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
$[2]$ |
$6$ |
$7$ |
$176569.731752$ |
16.0.173...625.2 |
$x^{16} - 2 x^{15} + 2 x^{14} + 21 x^{13} - 14 x^{12} - 28 x^{11} + 112 x^{10} + 47 x^{9} - 38 x^{8} + 192 x^{7} + 119 x^{6} + 7 x^{5} - 35 x^{4} - 21 x^{3} + 177 x^{2} + 108 x + 81$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{8}\cdot 7^{14}$ |
$3$ |
$21.2572174195$ |
$21.257217419483183$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
$[2]$ |
$2$ |
$7$ |
$63368.9368668$ |
16.0.173...625.3 |
$x^{16} - 13 x^{14} + 84 x^{12} - 329 x^{10} + 819 x^{8} - 1288 x^{6} + 1246 x^{4} - 720 x^{2} + 225$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{8}\cdot 7^{14}$ |
$3$ |
$21.2572174195$ |
$21.257217419483183$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
$[2]$ |
$2$ |
$7$ |
$20727.8076222$ |
16.0.174...056.1 |
$x^{16} - 4 x^{15} + 8 x^{14} - 34 x^{13} + 36 x^{12} + 32 x^{11} + 162 x^{10} - 112 x^{9} - 16 x^{8} - 310 x^{7} - 144 x^{6} + 44 x^{5} + 265 x^{4} + 120 x^{3} + 32 x^{2} + 16 x + 4$ |
$16$ |
[0,8] |
$2^{16}\cdot 113^{8}$ |
$2$ |
$21.2602916255$ |
$21.2602916254693$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
trivial |
$4$ |
$7$ |
$45023.51136$ |
16.0.189...384.2 |
$x^{16} + 72 x^{12} + 80 x^{10} + 366 x^{8} + 288 x^{6} + 88 x^{4} - 48 x^{2} + 9$ |
$16$ |
[0,8] |
$2^{58}\cdot 3^{8}$ |
$2$ |
$21.3695000447$ |
$21.36950004471431$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
$[2]$ |
$2$ |
$7$ |
$9999.28859963$ |
16.0.189...384.4 |
$x^{16} + 72 x^{12} - 80 x^{10} + 366 x^{8} - 288 x^{6} + 88 x^{4} + 48 x^{2} + 9$ |
$16$ |
[0,8] |
$2^{58}\cdot 3^{8}$ |
$2$ |
$21.3695000447$ |
$21.36950004471431$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
$[2]$ |
$2$ |
$7$ |
$114037.664959$ |
16.0.189...384.8 |
$x^{16} + 486 x^{8} + 6561$ |
$16$ |
[0,8] |
$2^{58}\cdot 3^{8}$ |
$2$ |
$21.3695000447$ |
$21.36950004471431$ |
|
✓ |
? |
$D_{8}$ (as 16T13) |
$[2]$ |
$8$ |
$7$ |
$40311.1673168$ |
16.0.242...961.1 |
$x^{16} - 2 x^{15} + 15 x^{14} - 37 x^{13} + 107 x^{12} - 261 x^{11} + 518 x^{10} - 934 x^{9} + 1884 x^{8} - 2843 x^{7} + 4132 x^{6} - 6093 x^{5} + 6762 x^{4} - 6354 x^{3} + 5616 x^{2} - 3159 x + 729$ |
$16$ |
[0,8] |
$3^{8}\cdot 157^{8}$ |
$2$ |
$21.7025344142$ |
$21.702534414210707$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
$[2]$ |
$6$ |
$7$ |
$219939.617486$ |
16.0.291...304.3 |
$x^{16} + 21 x^{12} + 112 x^{8} - 147 x^{4} + 49$ |
$16$ |
[0,8] |
$2^{32}\cdot 7^{14}$ |
$2$ |
$21.9543597473$ |
$21.954359747298287$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
trivial |
$4$ |
$7$ |
$64057.2596637$ |
16.0.291...304.4 |
$x^{16} + 4 x^{14} - 14 x^{12} + 56 x^{10} + 21 x^{8} - 84 x^{6} + 280 x^{4} + 312 x^{2} + 100$ |
$16$ |
[0,8] |
$2^{32}\cdot 7^{14}$ |
$2$ |
$21.9543597473$ |
$21.954359747298287$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
$[2, 2]$ |
$2$ |
$7$ |
$35518.9517995$ |
16.0.343...216.3 |
$x^{16} + 9 x^{14} + 38 x^{12} + 74 x^{10} + 21 x^{8} + 173 x^{6} + 1092 x^{4} + 1664 x^{2} + 1024$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 41^{8}$ |
$3$ |
$22.1810730128$ |
$22.181073012818835$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
$[2]$ |
$4$ |
$7$ |
$1544053.97216$ |
16.0.366...536.1 |
$x^{16} + 6 x^{14} + 56 x^{12} - 70 x^{10} + 270 x^{8} - 70 x^{6} + 56 x^{4} + 6 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 31^{8}$ |
$2$ |
$22.2710574513$ |
$22.271057451320086$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
$[6]$ |
$2$ |
$7$ |
$28884.3355905$ |
16.0.422...625.4 |
$x^{16} - 2 x^{15} + 13 x^{14} - 25 x^{13} + 89 x^{12} - 129 x^{11} + 282 x^{10} - 436 x^{9} + 449 x^{8} - 735 x^{7} + 199 x^{6} - 100 x^{5} + 365 x^{4} + 1275 x^{3} - 275 x^{2} + 125 x + 625$ |
$16$ |
[0,8] |
$5^{8}\cdot 101^{8}$ |
$2$ |
$22.4722050542$ |
$22.47220505424423$ |
✓ |
✓ |
|
$D_{8}$ (as 16T13) |
trivial |
$2$ |
$7$ |
$51535.6216372$ |
16.0.953...321.1 |
$x^{16} - 2 x^{15} - 5 x^{14} + 21 x^{13} + 27 x^{12} - 59 x^{11} - 10 x^{10} - 92 x^{9} + 552 x^{8} + 843 x^{7} - 1950 x^{6} - 3761 x^{5} + 64 x^{4} + 3822 x^{3} + 5642 x^{2} + 3549 x + 1521$ |
$16$ |
[0,8] |
$13^{8}\cdot 43^{8}$ |
$2$ |
$23.6431808351$ |
$23.643180835073778$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
$[2]$ |
$2$ |
$7$ |
$26474.6238892$ |
16.0.133...041.1 |
$x^{16} - 2 x^{15} - 5 x^{14} + 17 x^{13} - 17 x^{12} - 18 x^{11} + 165 x^{10} - 312 x^{9} - 532 x^{8} + 1736 x^{7} + 809 x^{6} - 3224 x^{5} + 1091 x^{4} - 168 x^{3} - 7551 x^{2} + 810 x + 18225$ |
$16$ |
[0,8] |
$11^{8}\cdot 53^{8}$ |
$2$ |
$24.1453929353$ |
$24.145392935299274$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
trivial |
$2$ |
$7$ |
$44918.3429831$ |
16.0.302...144.96 |
$x^{16} + 8 x^{14} + 36 x^{12} + 128 x^{10} + 418 x^{8} + 1632 x^{6} + 2808 x^{4} - 864 x^{2} + 324$ |
$16$ |
[0,8] |
$2^{62}\cdot 3^{8}$ |
$2$ |
$25.412761497225222$ |
$25.412761497225222$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
trivial |
$6$ |
$7$ |
$2318655.7878988846$ |
16.0.302...144.101 |
$x^{16} - 8 x^{14} + 36 x^{12} - 128 x^{10} + 418 x^{8} - 1632 x^{6} + 2808 x^{4} + 864 x^{2} + 324$ |
$16$ |
[0,8] |
$2^{62}\cdot 3^{8}$ |
$2$ |
$25.412761497225222$ |
$25.412761497225222$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
trivial |
$6$ |
$7$ |
$200959.74917378288$ |
16.0.507...281.4 |
$x^{16} + 2 x^{14} + 53 x^{12} + 354 x^{10} + 1160 x^{8} + 1833 x^{6} + 2729 x^{4} + 2678 x^{2} + 8281$ |
$16$ |
[0,8] |
$13^{8}\cdot 53^{8}$ |
$2$ |
$26.2488094968$ |
$26.248809496813376$ |
✓ |
✓ |
|
$D_{8}$ (as 16T13) |
trivial |
$2$ |
$7$ |
$82825.5955779$ |
16.0.531...569.1 |
$x^{16} + 9 x^{14} + 7 x^{12} - 238 x^{10} - 1113 x^{8} + 462 x^{6} + 12222 x^{4} + 24684 x^{2} + 14641$ |
$16$ |
[0,8] |
$7^{14}\cdot 23^{8}$ |
$2$ |
$26.3223526376$ |
$26.322352637560247$ |
|
✓ |
|
$D_{8}$ (as 16T13) |
$[3]$ |
$2$ |
$7$ |
$24713.1006295$ |