| 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 |
| 16.0.11485810791015625.1 |
$x^{16} - 3 x^{15} + x^{14} + 8 x^{13} - 11 x^{12} - 2 x^{11} + 12 x^{10} - x^{9} - 9 x^{8} + 7 x^{6} - x^{5} + 4 x^{4} - 15 x^{3} + 15 x^{2} - 6 x + 1$ |
$16$ |
[0,8] |
$5^{12}\cdot 19^{6}$ |
$2$ |
$10.0869554704$ |
$14.574857044323968$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
trivial |
$10$ |
$7$ |
$78.0183796697$ |
| 16.4.414...625.1 |
$x^{16} - 2 x^{15} - 5 x^{14} + 20 x^{13} - 16 x^{12} - 27 x^{11} + 23 x^{10} + 60 x^{9} - 134 x^{8} + 73 x^{7} - 27 x^{6} + 24 x^{5} + 29 x^{4} - 24 x^{3} - 16 x^{2} + x + 1$ |
$16$ |
[4,6] |
$5^{12}\cdot 19^{8}$ |
$2$ |
$14.5748570443$ |
$14.574857044323968$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
trivial |
$2$ |
$9$ |
$798.516281283$ |
| 16.4.461...904.1 |
$x^{16} - 8 x^{14} + 12 x^{12} + 8 x^{10} - 90 x^{8} + 8 x^{6} + 12 x^{4} - 8 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{62}$ |
$1$ |
$14.6720646913$ |
$15.32165249117718$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
trivial |
$2$ |
$9$ |
$1482.43828312$ |
| 16.0.461...904.4 |
$x^{16} - 8 x^{14} + 40 x^{12} - 96 x^{10} + 140 x^{8} - 48 x^{6} + 16 x^{4} + 4$ |
$16$ |
[0,8] |
$2^{62}$ |
$1$ |
$14.6720646913$ |
$15.32165249117718$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
trivial |
$2$ |
$7$ |
$1070.18152104$ |
| 16.0.102...625.1 |
$x^{16} - 4 x^{15} + 8 x^{14} - 8 x^{13} + 8 x^{12} - 10 x^{11} - 6 x^{10} + 71 x^{9} - 137 x^{8} + 103 x^{7} + 51 x^{6} - 194 x^{5} + 213 x^{4} - 124 x^{3} + 37 x^{2} + x + 1$ |
$16$ |
[0,8] |
$5^{12}\cdot 59^{6}$ |
$2$ |
$15.4275515986$ |
$25.683458749990002$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
trivial |
$10$ |
$7$ |
$3370.63382124$ |
| 16.0.593...625.1 |
$x^{16} - 3 x^{15} + 4 x^{14} - 8 x^{13} + 21 x^{12} - 46 x^{11} + 67 x^{10} - 89 x^{9} + 157 x^{8} - 227 x^{7} + 293 x^{6} - 342 x^{5} + 321 x^{4} - 284 x^{3} + 176 x^{2} - 56 x + 16$ |
$16$ |
[0,8] |
$5^{12}\cdot 79^{6}$ |
$2$ |
$17.2122506778$ |
$29.719469226626792$ |
|
|
|
$D_4:C_4$ (as 16T26) |
trivial |
$10$ |
$7$ |
$7222.77402778$ |
| 16.0.737...464.1 |
$x^{16} - 8 x^{14} + 28 x^{12} - 40 x^{10} + 10 x^{8} + 24 x^{6} + 20 x^{4} - 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{66}$ |
$1$ |
$17.4481237226$ |
$18.220618156107065$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
trivial |
$2$ |
$7$ |
$4605.5900345$ |
| 16.4.737...464.5 |
$x^{16} - 8 x^{14} + 12 x^{12} + 8 x^{10} - 34 x^{8} + 8 x^{6} + 12 x^{4} - 8 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{66}$ |
$1$ |
$17.4481237226$ |
$18.220618156107065$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
trivial |
$2$ |
$9$ |
$6379.76160984$ |
| 16.0.259...625.5 |
$x^{16} - 6 x^{15} + 15 x^{14} - 25 x^{13} + 46 x^{12} - 55 x^{11} - 21 x^{10} + 10 x^{9} + 431 x^{8} - 1005 x^{7} + 1020 x^{6} - 536 x^{5} + 201 x^{4} - 210 x^{3} + 235 x^{2} - 125 x + 25$ |
$16$ |
[0,8] |
$5^{12}\cdot 101^{6}$ |
$2$ |
$18.8733076114$ |
$33.60378443921746$ |
✓ |
|
? |
$D_4:C_4$ (as 16T26) |
$[2]$ |
$10$ |
$7$ |
$19060.3137934$ |
| 16.0.344...609.2 |
$x^{16} - x^{15} + 6 x^{14} - 4 x^{13} - 2 x^{12} + 17 x^{11} + 29 x^{10} + 93 x^{9} + 178 x^{8} + 91 x^{7} - 86 x^{6} + 143 x^{5} + 432 x^{4} + 133 x^{3} - 115 x^{2} + 8 x + 53$ |
$16$ |
[0,8] |
$13^{12}\cdot 23^{6}$ |
$2$ |
$22.1873509412$ |
$32.8338214553794$ |
|
|
|
$D_4:C_4$ (as 16T26) |
trivial |
$2$ |
$7$ |
$10853.4354238$ |
| 16.0.479...849.2 |
$x^{16} - 2 x^{15} + 9 x^{13} - 68 x^{11} + 114 x^{10} + 271 x^{9} - 166 x^{8} - 444 x^{7} + 989 x^{6} - 389 x^{5} - 157 x^{4} + 366 x^{3} - 55 x^{2} - 39 x + 47$ |
$16$ |
[0,8] |
$3^{6}\cdot 37^{12}$ |
$2$ |
$22.6501855225$ |
$25.9843537703577$ |
|
|
|
$D_4:C_4$ (as 16T26) |
trivial |
$2$ |
$7$ |
$18757.7900253$ |
| 16.0.858...625.1 |
$x^{16} - 2 x^{15} - 5 x^{14} + 20 x^{13} - x^{12} - 12 x^{11} - 42 x^{10} - 80 x^{9} + 681 x^{8} - 482 x^{7} - 1002 x^{6} + 1879 x^{5} - 386 x^{4} - 1089 x^{3} + 1089 x^{2} - 459 x + 81$ |
$16$ |
[0,8] |
$5^{12}\cdot 181^{6}$ |
$2$ |
$23.4885911679$ |
$44.98490324139099$ |
✓ |
|
? |
$D_4:C_4$ (as 16T26) |
$[2]$ |
$10$ |
$7$ |
$43749.6863738$ |
| 16.4.302...144.7 |
$x^{16} - 8 x^{14} - 32 x^{13} - 44 x^{12} + 80 x^{11} + 744 x^{10} + 832 x^{9} - 118 x^{8} - 960 x^{7} - 488 x^{6} + 800 x^{5} + 796 x^{4} + 16 x^{3} - 184 x^{2} - 64 x + 1$ |
$16$ |
[4,6] |
$2^{62}\cdot 3^{8}$ |
$2$ |
$25.412761497225222$ |
$26.53788057063313$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
trivial |
$2$ |
$9$ |
$203877.40646411202$ |
| 16.4.302...144.44 |
$x^{16} - 8 x^{14} + 8 x^{12} + 160 x^{10} - 468 x^{8} - 3504 x^{6} - 5424 x^{4} - 2048 x^{2} + 196$ |
$16$ |
[4,6] |
$2^{62}\cdot 3^{8}$ |
$2$ |
$25.412761497225222$ |
$26.53788057063313$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
trivial |
$2$ |
$9$ |
$254986.9930727287$ |
| 16.4.302...144.46 |
$x^{16} - 8 x^{14} + 44 x^{12} - 80 x^{11} - 120 x^{10} - 112 x^{9} - 194 x^{8} + 1088 x^{7} + 1160 x^{6} - 160 x^{5} + 5772 x^{4} + 15440 x^{3} + 15032 x^{2} + 6672 x + 1153$ |
$16$ |
[4,6] |
$2^{62}\cdot 3^{8}$ |
$2$ |
$25.412761497225222$ |
$26.53788057063313$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
trivial |
$2$ |
$9$ |
$141003.90365792986$ |
| 16.0.302...144.103 |
$x^{16} - 8 x^{14} - 16 x^{13} + 16 x^{12} + 160 x^{11} + 560 x^{10} + 896 x^{9} + 1408 x^{8} + 800 x^{7} + 384 x^{6} - 1120 x^{5} - 1520 x^{4} - 1472 x^{3} - 544 x^{2} + 512 x + 1096$ |
$16$ |
[0,8] |
$2^{62}\cdot 3^{8}$ |
$2$ |
$25.412761497225222$ |
$26.53788057063313$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
$[2]$ |
$2$ |
$7$ |
$32158.729052434835$ |
| 16.0.302...144.104 |
$x^{16} + 24 x^{12} - 80 x^{11} + 128 x^{10} + 352 x^{9} + 560 x^{8} + 1824 x^{7} + 5152 x^{6} + 7264 x^{5} + 9456 x^{4} + 15872 x^{3} + 16224 x^{2} + 7552 x + 1288$ |
$16$ |
[0,8] |
$2^{62}\cdot 3^{8}$ |
$2$ |
$25.412761497225222$ |
$26.53788057063313$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
$[2]$ |
$2$ |
$7$ |
$50895.802478841084$ |
| 16.0.302...144.111 |
$x^{16} - 8 x^{14} + 44 x^{12} - 248 x^{10} + 966 x^{8} - 1272 x^{6} - 2196 x^{4} + 4600 x^{2} + 6241$ |
$16$ |
[0,8] |
$2^{62}\cdot 3^{8}$ |
$2$ |
$25.412761497225222$ |
$26.53788057063313$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
$[2]$ |
$2$ |
$7$ |
$40220.53136900383$ |
| 16.4.358...625.2 |
$x^{16} - 8 x^{14} - 25 x^{13} + 19 x^{12} + 80 x^{11} + 98 x^{10} - 145 x^{9} - 364 x^{8} - 140 x^{7} + 380 x^{6} - 755 x^{5} + 180 x^{4} + 825 x^{3} - 200 x^{2} - 200 x + 25$ |
$16$ |
[4,6] |
$5^{12}\cdot 59^{8}$ |
$2$ |
$25.68345875$ |
$25.683458749990002$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
trivial |
$2$ |
$9$ |
$60268.4261403$ |
| 16.4.431...641.1 |
$x^{16} + 6 x^{14} - 75 x^{12} - 24 x^{10} + 82 x^{8} + 1086 x^{6} + 924 x^{4} + 228 x^{2} + 1$ |
$16$ |
[4,6] |
$3^{8}\cdot 37^{12}$ |
$2$ |
$25.9843537704$ |
$25.9843537703577$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
trivial |
$2$ |
$9$ |
$290672.712798$ |
| 16.0.147...569.2 |
$x^{16} - 5 x^{15} + 14 x^{14} - 23 x^{13} + 41 x^{12} - 73 x^{11} + 87 x^{10} + 62 x^{9} - 240 x^{8} - 66 x^{7} + 1168 x^{6} - 2361 x^{5} + 2538 x^{4} - 1836 x^{3} + 810 x^{2} - 729 x + 729$ |
$16$ |
[0,8] |
$13^{12}\cdot 43^{6}$ |
$2$ |
$28.0548651197$ |
$44.89435558045543$ |
|
|
|
$D_4:C_4$ (as 16T26) |
trivial |
$2$ |
$7$ |
$634632.996614$ |
| 16.4.370...625.1 |
$x^{16} - 6 x^{15} + 7 x^{14} + 17 x^{13} + 16 x^{12} - 229 x^{11} - 18 x^{10} + 1571 x^{9} - 1788 x^{8} - 2765 x^{7} + 4913 x^{6} + 3963 x^{5} - 9488 x^{4} - 1264 x^{3} + 6964 x^{2} + 505 x - 1999$ |
$16$ |
[4,6] |
$5^{12}\cdot 79^{8}$ |
$2$ |
$29.7194692266$ |
$29.719469226626792$ |
|
|
|
$D_4:C_4$ (as 16T26) |
trivial |
$2$ |
$9$ |
$306662.895205$ |
| 16.4.484...304.2 |
$x^{16} - 8 x^{14} - 32 x^{13} + 20 x^{12} + 16 x^{11} + 64 x^{10} - 384 x^{9} + 876 x^{8} + 624 x^{7} + 1480 x^{6} - 2848 x^{5} - 688 x^{4} + 4496 x^{3} - 3104 x^{2} + 1632 x - 674$ |
$16$ |
[4,6] |
$2^{66}\cdot 3^{8}$ |
$2$ |
$30.22103678436744$ |
$31.559036391689393$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
trivial |
$2$ |
$9$ |
$580335.4436253702$ |
| 16.4.484...304.44 |
$x^{16} - 8 x^{14} + 28 x^{12} - 56 x^{10} - 578 x^{8} - 56 x^{6} + 28 x^{4} - 8 x^{2} + 1$ |
$16$ |
[4,6] |
$2^{66}\cdot 3^{8}$ |
$2$ |
$30.22103678436744$ |
$31.559036391689393$ |
|
|
|
$D_4:C_4$ (as 16T26) |
trivial |
$2$ |
$9$ |
$1229270.2441561364$ |
| 16.4.484...304.107 |
$x^{16} - 8 x^{14} + 44 x^{12} - 8 x^{10} - 422 x^{8} - 616 x^{6} - 124 x^{4} + 152 x^{2} + 49$ |
$16$ |
[4,6] |
$2^{66}\cdot 3^{8}$ |
$2$ |
$30.22103678436744$ |
$31.559036391689393$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
trivial |
$2$ |
$9$ |
$917100.0656695483$ |
| 16.0.484...304.137 |
$x^{16} - 8 x^{14} + 60 x^{12} - 200 x^{10} + 634 x^{8} - 744 x^{6} + 1044 x^{4} + 216 x^{2} + 81$ |
$16$ |
[0,8] |
$2^{66}\cdot 3^{8}$ |
$2$ |
$30.22103678436744$ |
$31.559036391689393$ |
|
|
|
$D_4:C_4$ (as 16T26) |
$[2]$ |
$2$ |
$7$ |
$193899.70374670366$ |
| 16.0.484...304.212 |
$x^{16} - 32 x^{13} - 64 x^{11} + 80 x^{10} + 576 x^{9} + 1034 x^{8} + 944 x^{7} + 4552 x^{6} - 1008 x^{5} + 5008 x^{4} - 1088 x^{3} + 728 x^{2} + 343$ |
$16$ |
[0,8] |
$2^{66}\cdot 3^{8}$ |
$2$ |
$30.22103678436744$ |
$31.559036391689393$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
$[2]$ |
$2$ |
$7$ |
$209473.90351604894$ |
| 16.0.484...304.229 |
$x^{16} - 8 x^{14} + 44 x^{12} - 248 x^{10} + 910 x^{8} - 1720 x^{6} + 1388 x^{4} - 328 x^{2} + 529$ |
$16$ |
[0,8] |
$2^{66}\cdot 3^{8}$ |
$2$ |
$30.22103678436744$ |
$31.559036391689393$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
$[2]$ |
$2$ |
$7$ |
$144659.34718974726$ |
| 16.0.516...049.9 |
$x^{16} - 4 x^{15} + 9 x^{14} - 25 x^{13} + 61 x^{12} - 119 x^{11} + 219 x^{10} - 410 x^{9} + 751 x^{8} - 1230 x^{7} + 1971 x^{6} - 3213 x^{5} + 4941 x^{4} - 6075 x^{3} + 6561 x^{2} - 8748 x + 6561$ |
$16$ |
[0,8] |
$13^{12}\cdot 53^{6}$ |
$2$ |
$30.3431710524$ |
$49.84199864366084$ |
✓ |
|
|
$D_4:C_4$ (as 16T26) |
$[4]$ |
$2$ |
$7$ |
$245119.613331$ |
| 16.0.120...641.2 |
$x^{16} + 30 x^{14} + 257 x^{12} + 965 x^{10} + 1800 x^{8} + 1706 x^{6} + 777 x^{4} + 134 x^{2} + 1$ |
$16$ |
[0,8] |
$13^{12}\cdot 61^{6}$ |
$2$ |
$31.9857252444$ |
$53.471507940612106$ |
✓ |
|
? |
$D_4:C_4$ (as 16T26) |
$[2]$ |
$2$ |
$7$ |
$122844.859441$ |
| 16.0.170...625.1 |
$x^{16} - x^{15} + 3 x^{14} + 7 x^{13} + 93 x^{12} - 18 x^{11} + 1061 x^{10} + 426 x^{9} + 4268 x^{8} + 3118 x^{7} + 8099 x^{6} + 7574 x^{5} + 3478 x^{4} + 556 x^{3} + 67 x^{2} + 8 x + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{12}\cdot 101^{6}$ |
$3$ |
$32.6895276898$ |
$58.20346197531708$ |
✓ |
|
? |
$D_4:C_4$ (as 16T26) |
$[2, 12]$ |
$10$ |
$7$ |
$50808.1466806$ |
| 16.16.170...625.1 |
$x^{16} - 5 x^{15} - 18 x^{14} + 132 x^{13} - 53 x^{12} - 762 x^{11} + 899 x^{10} + 1736 x^{9} - 2845 x^{8} - 1761 x^{7} + 3857 x^{6} + 741 x^{5} - 2413 x^{4} - 127 x^{3} + 602 x^{2} + 46 x - 29$ |
$16$ |
[16,0] |
$3^{8}\cdot 5^{12}\cdot 101^{6}$ |
$3$ |
$32.6895276898$ |
$58.20346197531708$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
trivial |
$2$ |
$15$ |
$6895956.99533$ |
| 16.4.182...161.1 |
$x^{16} - 17 x^{14} + 20 x^{12} + 201 x^{10} - 605 x^{8} - 395 x^{6} + 908 x^{4} - 477 x^{2} + 81$ |
$16$ |
[4,6] |
$13^{12}\cdot 23^{8}$ |
$2$ |
$32.8338214554$ |
$32.8338214553794$ |
|
|
|
$D_4:C_4$ (as 16T26) |
trivial |
$2$ |
$9$ |
$752694.735162$ |
| 16.0.193...009.1 |
$x^{16} - 2 x^{15} + 24 x^{13} + 68 x^{12} - 27 x^{11} + 120 x^{10} + 1216 x^{9} + 1120 x^{8} - 486 x^{7} + 1699 x^{6} + 4434 x^{5} + 2142 x^{4} - 72 x^{3} + 468 x^{2} + 189 x + 81$ |
$16$ |
[0,8] |
$3^{6}\cdot 61^{12}$ |
$2$ |
$32.9547367524$ |
$37.80576266511387$ |
|
|
|
$D_4:C_4$ (as 16T26) |
$[3]$ |
$2$ |
$7$ |
$135710.355692$ |
| 16.0.264...625.14 |
$x^{16} - 4 x^{15} - 8 x^{14} + 39 x^{13} + 44 x^{12} - 204 x^{11} - 62 x^{10} + 441 x^{9} - 82 x^{8} - 576 x^{7} + 2523 x^{6} + 1307 x^{5} - 415 x^{4} + 4773 x^{3} + 3571 x^{2} - 2668 x + 6091$ |
$16$ |
[0,8] |
$5^{12}\cdot 101^{8}$ |
$2$ |
$33.6037844392$ |
$33.60378443921746$ |
✓ |
|
? |
$D_4:C_4$ (as 16T26) |
$[2, 8]$ |
$2$ |
$7$ |
$38120.6275869$ |
| 16.4.628...369.2 |
$x^{16} - 6 x^{15} + 27 x^{14} - 88 x^{13} + 262 x^{12} - 574 x^{11} + 972 x^{10} - 647 x^{9} - 1301 x^{8} + 8015 x^{7} - 21484 x^{6} + 40219 x^{5} - 51101 x^{4} + 40562 x^{3} - 18496 x^{2} + 4080 x - 272$ |
$16$ |
[4,6] |
$17^{12}\cdot 47^{6}$ |
$2$ |
$35.4709963627$ |
$57.396527724841604$ |
|
|
|
$D_4:C_4$ (as 16T26) |
trivial |
$2$ |
$9$ |
$1754473.12786$ |
| 16.4.792...449.1 |
$x^{16} - 12 x^{14} + 46 x^{12} + 15 x^{10} + 229 x^{8} + 378 x^{6} - 1652 x^{4} - 3117 x^{2} + 16$ |
$16$ |
[4,6] |
$17^{14}\cdot 19^{6}$ |
$2$ |
$35.9894663135$ |
$52.00194728311084$ |
|
|
|
$D_4:C_4$ (as 16T26) |
$[2]$ |
$2$ |
$9$ |
$5292206.5482$ |
| 16.16.868...136.1 |
$x^{16} - 24 x^{14} + 212 x^{12} - 920 x^{10} + 2138 x^{8} - 2680 x^{6} + 1724 x^{4} - 504 x^{2} + 49$ |
$16$ |
[16,0] |
$2^{66}\cdot 7^{6}$ |
$2$ |
$36.1959931306$ |
$48.207224374927556$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
trivial |
$2$ |
$15$ |
$31674046.4142$ |
| 16.0.868...136.1 |
$x^{16} + 24 x^{14} + 212 x^{12} + 920 x^{10} + 2138 x^{8} + 2680 x^{6} + 1724 x^{4} + 504 x^{2} + 49$ |
$16$ |
[0,8] |
$2^{66}\cdot 7^{6}$ |
$2$ |
$36.1959931306$ |
$48.207224374927556$ |
✓ |
|
? |
$D_4:C_4$ (as 16T26) |
$[42]$ |
$2$ |
$7$ |
$20726.065235$ |
| 16.0.868...136.2 |
$x^{16} - 8 x^{14} + 36 x^{12} - 104 x^{10} + 62 x^{8} + 680 x^{6} - 252 x^{4} + 392 x^{2} + 2401$ |
$16$ |
[0,8] |
$2^{66}\cdot 7^{6}$ |
$2$ |
$36.1959931306$ |
$48.207224374927556$ |
✓ |
|
? |
$D_4:C_4$ (as 16T26) |
$[6]$ |
$2$ |
$7$ |
$211544.391067$ |
| 16.0.116...641.1 |
$x^{16} - 3 x^{15} + 14 x^{14} - 7 x^{13} + 42 x^{12} + 65 x^{11} + 260 x^{10} + 545 x^{9} + 1144 x^{8} + 1425 x^{7} + 3221 x^{6} + 5823 x^{5} + 8911 x^{4} + 7300 x^{3} + 5422 x^{2} + 2527 x + 1913$ |
$16$ |
[0,8] |
$11^{6}\cdot 37^{12}$ |
$2$ |
$36.8700350094$ |
$49.75624935454214$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
trivial |
$2$ |
$7$ |
$840629.139795$ |
| 16.0.169...000.1 |
$x^{16} - 18 x^{14} - 6 x^{13} + 194 x^{12} - 144 x^{11} - 756 x^{10} + 1658 x^{9} + 877 x^{8} - 8328 x^{7} + 6409 x^{6} + 17442 x^{5} - 21019 x^{4} - 3760 x^{3} + 31760 x^{2} - 28210 x + 12505$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{12}\cdot 101^{6}$ |
$3$ |
$37.7466152227$ |
$67.20756887843493$ |
✓ |
|
? |
$D_4:C_4$ (as 16T26) |
$[2, 12]$ |
$2$ |
$7$ |
$57136.6523646$ |
| 16.4.174...081.2 |
$x^{16} + 8 x^{14} + 70 x^{12} - 1034 x^{10} + 1331 x^{8} + 3298 x^{6} - 9317 x^{4} + 5213 x^{2} + 25$ |
$16$ |
[4,6] |
$3^{8}\cdot 61^{12}$ |
$2$ |
$37.8057626651$ |
$37.80576266511387$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
$[3]$ |
$2$ |
$9$ |
$3899874.07927$ |
| 16.0.392...624.19 |
$x^{16} - 32 x^{13} + 8 x^{12} + 480 x^{10} + 432 x^{9} + 1338 x^{8} - 368 x^{7} + 2136 x^{6} + 48 x^{5} + 504 x^{4} + 128 x^{3} + 72 x^{2} - 16 x + 7$ |
$16$ |
[0,8] |
$2^{66}\cdot 3^{12}$ |
$2$ |
$39.77312115638734$ |
$41.53402766892441$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
$[2]$ |
$2$ |
$7$ |
$1610366.3884706849$ |
| 16.0.392...624.63 |
$x^{16} + 8 x^{14} + 20 x^{12} + 248 x^{10} + 178 x^{8} + 2440 x^{6} + 4268 x^{4} + 3544 x^{2} + 49$ |
$16$ |
[0,8] |
$2^{66}\cdot 3^{12}$ |
$2$ |
$39.77312115638734$ |
$41.53402766892441$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
$[6]$ |
$2$ |
$7$ |
$519675.4936995622$ |
| 16.0.392...624.167 |
$x^{16} + 96 x^{12} + 540 x^{8} + 1728 x^{4} + 324$ |
$16$ |
[0,8] |
$2^{66}\cdot 3^{12}$ |
$2$ |
$39.77312115638734$ |
$41.53402766892441$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
$[2]$ |
$2$ |
$7$ |
$1131502.1889381693$ |
| 16.4.392...624.204 |
$x^{16} - 8 x^{14} + 20 x^{12} - 248 x^{10} + 178 x^{8} - 2440 x^{6} + 4268 x^{4} - 3544 x^{2} + 49$ |
$16$ |
[4,6] |
$2^{66}\cdot 3^{12}$ |
$2$ |
$39.77312115638734$ |
$41.53402766892441$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
$[3]$ |
$2$ |
$9$ |
$3294598.231344031$ |
| 16.0.392...624.250 |
$x^{16} + 16 x^{14} + 104 x^{12} + 592 x^{10} + 1108 x^{8} + 2144 x^{6} - 7792 x^{4} + 5408 x^{2} + 1156$ |
$16$ |
[0,8] |
$2^{66}\cdot 3^{12}$ |
$2$ |
$39.77312115638734$ |
$41.53402766892441$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
$[6]$ |
$2$ |
$7$ |
$1327031.99921301$ |
| 16.4.392...624.269 |
$x^{16} - 8 x^{14} - 32 x^{13} + 28 x^{12} + 48 x^{11} + 400 x^{10} - 144 x^{9} + 4 x^{8} - 880 x^{7} - 104 x^{6} + 64 x^{5} + 464 x^{4} + 1072 x^{3} - 368 x^{2} - 608 x + 94$ |
$16$ |
[4,6] |
$2^{66}\cdot 3^{12}$ |
$2$ |
$39.77312115638734$ |
$41.53402766892441$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
trivial |
$2$ |
$9$ |
$4461427.78057754$ |
| 16.4.392...624.310 |
$x^{16} - 96 x^{12} + 540 x^{8} - 1728 x^{4} + 324$ |
$16$ |
[4,6] |
$2^{66}\cdot 3^{12}$ |
$2$ |
$39.77312115638734$ |
$41.53402766892441$ |
|
|
? |
$D_4:C_4$ (as 16T26) |
trivial |
$2$ |
$9$ |
$7173409.475015105$ |
