| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Narrow class group |
Unit group torsion |
Unit group rank |
Regulator |
| 16.0.28968410356383744.1 |
$x^{16} - 2 x^{15} + 2 x^{14} - 4 x^{12} + 8 x^{11} - 8 x^{10} + 6 x^{9} - 2 x^{8} - 6 x^{7} + 16 x^{6} - 20 x^{5} + 17 x^{4} - 12 x^{3} + 8 x^{2} - 4 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{14}\cdot 19^{2}$ |
$3$ |
$10.6873563776$ |
$32.24058339998485$ |
|
|
? |
$C_2\wr D_4$ (as 16T396) |
trivial |
trivial |
$12$ |
$7$ |
$164.110064006$ |
| 16.0.56801432950182144.1 |
$x^{16} - 4 x^{14} + 4 x^{12} + 8 x^{10} - 17 x^{8} + 2 x^{6} + 13 x^{4} - 7 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{8}\cdot 3^{14}\cdot 7^{4}\cdot 139^{2}$ |
$4$ |
$11.1467293359$ |
$230.71854887288097$ |
|
|
? |
$C_2^2\wr C_2^2.D_4$ (as 16T1728) |
trivial |
trivial |
$6$ |
$7$ |
$130.436728236$ |
| 16.0.59436404287430625.1 |
$x^{16} - 2 x^{15} - x^{14} + 2 x^{12} + 5 x^{11} - 2 x^{10} + 3 x^{9} + x^{8} - 3 x^{7} - 2 x^{6} - 5 x^{5} + 2 x^{4} - x^{2} + 2 x + 1$ |
$16$ |
[0,8] |
$3^{14}\cdot 5^{4}\cdot 7^{6}\cdot 13^{2}$ |
$4$ |
$11.1783649165$ |
$90.73217175218808$ |
|
|
? |
$C_2^7.D_4$ (as 16T1177) |
trivial |
trivial |
$6$ |
$7$ |
$148.139912519$ |
| 16.0.112938452886196224.1 |
$x^{16} - 7 x^{15} + 20 x^{14} - 33 x^{13} + 41 x^{12} - 35 x^{11} + 4 x^{10} - 6 x^{9} + 85 x^{8} - 144 x^{7} + 124 x^{6} - 67 x^{5} + 23 x^{4} - 21 x^{3} + 14 x^{2} + x + 1$ |
$16$ |
[0,8] |
$2^{12}\cdot 3^{14}\cdot 7^{8}$ |
$3$ |
$11.6359705831$ |
$19.5692919025805$ |
|
|
? |
$D_8:C_2$ (as 16T47) |
trivial |
trivial |
$6$ |
$7$ |
$181.136476858$ |
| 16.0.176466332634681600.1 |
$x^{16} - 7 x^{15} + 23 x^{14} - 48 x^{13} + 74 x^{12} - 83 x^{11} + 52 x^{10} + 6 x^{9} - 59 x^{8} + 84 x^{7} - 32 x^{6} - 43 x^{5} + 32 x^{4} + 6 x^{3} - 7 x^{2} + x + 1$ |
$16$ |
[0,8] |
$2^{8}\cdot 3^{14}\cdot 5^{2}\cdot 7^{8}$ |
$4$ |
$11.9651009262$ |
$52.037642415806324$ |
|
|
? |
$C_2^7:D_4$ (as 16T1171) |
trivial |
trivial |
$6$ |
$7$ |
$232.210859483$ |
| 16.0.192668014586363904.2 |
$x^{16} - 4 x^{15} + 8 x^{14} - 12 x^{13} + 8 x^{12} + 10 x^{11} - 32 x^{10} + 48 x^{9} - 38 x^{8} - 12 x^{7} + 82 x^{6} - 130 x^{5} + 125 x^{4} - 78 x^{3} + 32 x^{2} - 8 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{14}\cdot 7^{4}$ |
$3$ |
$12.0309688234$ |
$25.378231795778103$ |
|
|
? |
$C_2\wr D_4$ (as 16T401) |
trivial |
trivial |
$12$ |
$7$ |
$540.480733753$ |
| 16.0.219809187453515625.2 |
$x^{16} - x^{15} + 4 x^{13} + 11 x^{12} - 6 x^{11} + x^{10} + 23 x^{9} + 6 x^{8} + 14 x^{7} + 25 x^{6} + 24 x^{5} + 29 x^{4} + 22 x^{3} + 12 x^{2} + 5 x + 1$ |
$16$ |
[0,8] |
$3^{14}\cdot 5^{8}\cdot 7^{6}$ |
$3$ |
$12.1304766182$ |
$25.16457673743996$ |
|
|
? |
$D_4:D_4$ (as 16T141) |
trivial |
trivial |
$6$ |
$7$ |
$273.618741754$ |
| 16.0.328683126924509184.2 |
$x^{16} + 6 x^{12} + 87 x^{8} + 54 x^{4} + 9$ |
$16$ |
[0,8] |
$2^{36}\cdot 3^{14}$ |
$2$ |
$12.4393757955$ |
$16.131874566820663$ |
|
|
? |
$D_8:C_2$ (as 16T35) |
trivial |
trivial |
$12$ |
$7$ |
$763.555572776$ |
| 16.0.345874011963975936.1 |
$x^{16} - 7 x^{15} + 26 x^{14} - 72 x^{13} + 167 x^{12} - 332 x^{11} + 574 x^{10} - 879 x^{9} + 1210 x^{8} - 1500 x^{7} + 1642 x^{6} - 1543 x^{5} + 1235 x^{4} - 837 x^{3} + 446 x^{2} - 155 x + 25$ |
$16$ |
[0,8] |
$2^{8}\cdot 3^{14}\cdot 7^{10}$ |
$3$ |
$12.4790743064$ |
$31.830951537759706$ |
|
|
? |
$C_4^2:D_4$ (as 16T406) |
trivial |
trivial |
$6$ |
$7$ |
$311.42757219$ |
| 16.0.489776025600000000.1 |
$x^{16} - 3 x^{15} + 2 x^{14} + 6 x^{13} - 8 x^{12} + 3 x^{11} + 5 x^{10} - 6 x^{9} + 4 x^{8} + 6 x^{7} + 5 x^{6} - 3 x^{5} - 8 x^{4} - 6 x^{3} + 2 x^{2} + 3 x + 1$ |
$16$ |
[0,8] |
$2^{18}\cdot 3^{14}\cdot 5^{8}$ |
$3$ |
$12.7533666398$ |
$16.539070313490214$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$6$ |
$7$ |
$505.579087345$ |
| 16.0.555307587640295424.1 |
$x^{16} - 4 x^{15} - x^{14} + 24 x^{13} - 22 x^{12} - 50 x^{11} + 85 x^{10} + 24 x^{9} - 119 x^{8} + 66 x^{7} + 61 x^{6} - 100 x^{5} + 20 x^{4} + 42 x^{3} - 37 x^{2} - 2 x + 13$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{14}\cdot 11^{6}$ |
$3$ |
$12.8538536387$ |
$17.34632328529682$ |
|
|
? |
$D_8:C_2$ (as 16T44) |
trivial |
trivial |
$12$ |
$7$ |
$919.831986506$ |
| 16.0.844418974521425625.1 |
$x^{16} - 6 x^{15} + 17 x^{14} - 24 x^{13} + 4 x^{12} + 36 x^{11} - 70 x^{10} + 87 x^{9} - 71 x^{8} - 6 x^{7} + 119 x^{6} - 105 x^{5} + 88 x^{4} - 21 x^{3} - x^{2} + 1$ |
$16$ |
[0,8] |
$3^{14}\cdot 5^{4}\cdot 7^{10}$ |
$3$ |
$13.1950145659$ |
$25.16457673743996$ |
|
|
? |
$D_4:D_4$ (as 16T152) |
trivial |
trivial |
$6$ |
$7$ |
$449.398758092$ |
| 16.0.921677784681222144.1 |
$x^{16} - x^{15} - 4 x^{14} - 3 x^{13} + 23 x^{12} + x^{11} - 44 x^{10} + 3 x^{9} + 52 x^{8} - 3 x^{7} - 44 x^{6} - x^{5} + 23 x^{4} + 3 x^{3} - 4 x^{2} + x + 1$ |
$16$ |
[0,8] |
$2^{12}\cdot 3^{14}\cdot 19^{6}$ |
$3$ |
$13.2674113664$ |
$67.31181361004384$ |
|
|
? |
$C_2^6.D_4$ (as 16T1025) |
trivial |
trivial |
$6$ |
$7$ |
$656.036206893$ |
| 16.0.161...625.1 |
$x^{16} - x^{15} + 5 x^{14} - 12 x^{13} + 2 x^{12} - 11 x^{11} + 16 x^{10} + 12 x^{9} + x^{8} - 6 x^{7} - 2 x^{6} + 23 x^{5} - 10 x^{4} - 6 x^{3} + 11 x^{2} - 5 x + 1$ |
$16$ |
[0,8] |
$3^{14}\cdot 5^{8}\cdot 7^{4}\cdot 19^{2}$ |
$4$ |
$13.743103277501605$ |
$67.4360184072635$ |
|
|
|
$D_4^2:C_2^2$ (as 16T509) |
trivial |
trivial |
$6$ |
$7$ |
$852.1489409448465$ |
| 16.0.271...729.2 |
$x^{16} - 2 x^{15} + 5 x^{14} - 6 x^{13} + 20 x^{12} - 4 x^{11} + 55 x^{10} + 79 x^{8} + 55 x^{6} + 4 x^{5} + 20 x^{4} + 6 x^{3} + 5 x^{2} + 2 x + 1$ |
$16$ |
[0,8] |
$3^{14}\cdot 7^{6}\cdot 13^{6}$ |
$3$ |
$14.1945497077$ |
$40.57666075681575$ |
|
|
|
$C_2\wr D_4$ (as 16T391) |
trivial |
trivial |
$6$ |
$7$ |
$1231.48682386$ |
| 16.0.525...944.1 |
$x^{16} - 4 x^{15} + 8 x^{14} - 12 x^{13} + 8 x^{12} + 4 x^{11} - 44 x^{10} + 108 x^{9} - 5 x^{8} - 156 x^{7} + 88 x^{6} + 68 x^{5} - 70 x^{4} + 20 x^{2} - 8 x + 1$ |
$16$ |
[0,8] |
$2^{40}\cdot 3^{14}$ |
$2$ |
$14.7929942022$ |
$16.131874566820663$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
trivial |
$6$ |
$7$ |
$2448.16044438$ |
| 16.0.525...944.4 |
$x^{16} - 6 x^{14} + 24 x^{12} - 60 x^{10} + 87 x^{8} - 72 x^{6} + 36 x^{4} - 18 x^{2} + 9$ |
$16$ |
[0,8] |
$2^{40}\cdot 3^{14}$ |
$2$ |
$14.7929942022$ |
$19.18414001319457$ |
|
|
? |
$D_8:C_2$ (as 16T47) |
trivial |
trivial |
$12$ |
$7$ |
$2956.23502731$ |
| 16.0.525...944.7 |
$x^{16} - 12 x^{14} + 60 x^{12} - 162 x^{10} + 267 x^{8} - 270 x^{6} + 162 x^{4} - 54 x^{2} + 9$ |
$16$ |
[0,8] |
$2^{40}\cdot 3^{14}$ |
$2$ |
$14.79299420224515$ |
$23.82397414329719$ |
|
|
? |
$D_4:D_4$ (as 16T152) |
trivial |
trivial |
$12$ |
$7$ |
$3179.4078550056565$ |
| 16.0.741...464.1 |
$x^{16} + 2 x^{14} + x^{12} - 16 x^{10} + 4 x^{8} + 2 x^{6} + 10 x^{4} + 2 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{14}\cdot 19^{2}$ |
$3$ |
$15.1142043351$ |
$70.31721100664524$ |
|
|
? |
$C_2^6.D_4$ (as 16T878) |
trivial |
trivial |
$6$ |
$7$ |
$2538.00282026$ |
| 16.0.944...296.4 |
$x^{16} - 4 x^{15} + 6 x^{14} - 2 x^{13} - 4 x^{12} + 30 x^{11} + 22 x^{10} - 58 x^{9} - 30 x^{8} + 122 x^{7} + 172 x^{6} + 144 x^{5} + 125 x^{4} + 64 x^{3} + 12 x^{2} + 2 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{14}\cdot 7^{6}$ |
$3$ |
$15.3439740868$ |
$37.85359404601065$ |
|
|
? |
$C_4^2:D_4$ (as 16T408) |
trivial |
trivial |
$6$ |
$7$ |
$2379.04654143$ |
| 16.0.944...296.6 |
$x^{16} - 6 x^{15} + 14 x^{14} - 12 x^{13} + 10 x^{12} - 114 x^{11} + 452 x^{10} - 930 x^{9} + 1219 x^{8} - 1122 x^{7} + 788 x^{6} - 450 x^{5} + 214 x^{4} - 84 x^{3} + 26 x^{2} - 6 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{14}\cdot 7^{6}$ |
$3$ |
$15.3439740868$ |
$41.27963701634617$ |
|
|
? |
$C_2^6.D_4$ (as 16T1025) |
trivial |
trivial |
$6$ |
$7$ |
$2363.59812066$ |
| 16.0.100...625.1 |
$x^{16} - 3 x^{15} + 3 x^{14} - 12 x^{13} + 33 x^{12} - 18 x^{11} + 45 x^{10} - 105 x^{9} + 15 x^{8} - 63 x^{7} + 144 x^{6} + 45 x^{5} + 81 x^{4} - 45 x^{3} - 9 x^{2} - 18 x + 9$ |
$16$ |
[0,8] |
$3^{14}\cdot 5^{4}\cdot 7^{6}\cdot 13^{4}$ |
$4$ |
$15.4035634569$ |
$90.73217175218808$ |
|
|
? |
$C_4.D_4^2$ (as 16T511) |
trivial |
trivial |
$6$ |
$7$ |
$1854.603895$ |
| 16.0.100...625.2 |
$x^{16} + 6 x^{14} - 15 x^{13} + 15 x^{12} - 54 x^{11} + 99 x^{10} - 84 x^{9} + 159 x^{8} - 234 x^{7} + 135 x^{6} - 117 x^{5} + 162 x^{4} - 63 x^{3} - 9 x^{2} - 9 x + 9$ |
$16$ |
[0,8] |
$3^{14}\cdot 5^{4}\cdot 7^{6}\cdot 13^{4}$ |
$4$ |
$15.4035634569$ |
$90.73217175218808$ |
|
|
? |
$C_4.D_4^2$ (as 16T511) |
$[2]$ |
$[2]$ |
$6$ |
$7$ |
$1130.60888908$ |
| 16.0.104...584.1 |
$x^{16} - 7 x^{14} + 22 x^{12} - 40 x^{10} + 43 x^{8} - 22 x^{6} - 2 x^{4} + 5 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{14}\cdot 19^{4}$ |
$3$ |
$15.4423891175$ |
|
|
|
✓ |
$(C_2^2\times D_4^2).D_4$ (as 16T1347) |
trivial |
trivial |
$6$ |
$7$ |
$2556.07087636$ |
| 16.0.141...176.1 |
$x^{16} + 2 x^{14} + 16 x^{12} + 65 x^{10} - 126 x^{9} + 172 x^{8} - 144 x^{7} + 137 x^{6} - 186 x^{5} + 64 x^{4} - 30 x^{3} + 80 x^{2} - 42 x + 7$ |
$16$ |
[0,8] |
$2^{8}\cdot 3^{14}\cdot 7^{4}\cdot 13^{6}$ |
$4$ |
$15.7398055522$ |
$70.55808537927624$ |
|
|
? |
$D_4^2:D_4$ (as 16T877) |
trivial |
trivial |
$6$ |
$7$ |
$2827.57534373$ |
| 16.0.187...824.2 |
$x^{16} - 12 x^{14} + 57 x^{12} - 144 x^{10} + 240 x^{8} - 252 x^{6} + 117 x^{4} + 9$ |
$16$ |
[0,8] |
$2^{28}\cdot 3^{14}\cdot 11^{4}$ |
$3$ |
$16.018865746$ |
$44.99079632827353$ |
|
|
|
$D_4^2:C_2^2$ (as 16T645) |
trivial |
trivial |
$12$ |
$7$ |
$8709.28503106$ |
| 16.0.210...776.1 |
$x^{16} - 6 x^{14} + 12 x^{12} - 12 x^{10} + 42 x^{8} - 144 x^{6} + 216 x^{4} - 144 x^{2} + 36$ |
$16$ |
[0,8] |
$2^{42}\cdot 3^{14}$ |
$2$ |
$16.131874566820663$ |
$28.95202168188486$ |
|
|
? |
$C_4^2:D_4$ (as 16T394) |
trivial |
trivial |
$12$ |
$7$ |
$6259.138958637788$ |
| 16.4.210...776.1 |
$x^{16} - 8 x^{15} + 32 x^{14} - 84 x^{13} + 158 x^{12} - 220 x^{11} + 220 x^{10} - 120 x^{9} - 56 x^{8} + 240 x^{7} - 320 x^{6} + 256 x^{5} - 136 x^{4} + 48 x^{3} - 16 x^{2} + 8 x - 2$ |
$16$ |
[4,6] |
$2^{42}\cdot 3^{14}$ |
$2$ |
$16.1318745668$ |
$16.131874566820663$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
$[2]$ |
$2$ |
$9$ |
$3695.54224592$ |
| 16.0.230...000.1 |
$x^{16} + 9 x^{14} + 36 x^{12} + 78 x^{10} + 96 x^{8} + 45 x^{6} - 18 x^{4} - 27 x^{2} + 9$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{14}\cdot 5^{4}\cdot 7^{6}$ |
$4$ |
$16.2242772663$ |
$50.32915347487992$ |
|
|
? |
$C_4^2:C_2^3$ (as 16T265) |
trivial |
trivial |
$12$ |
$7$ |
$5811.3142561$ |
| 16.0.230...000.3 |
$x^{16} - x^{14} - 11 x^{12} + 2 x^{10} + 43 x^{8} + 2 x^{6} - 11 x^{4} - x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{14}\cdot 5^{4}\cdot 7^{6}$ |
$4$ |
$16.2242772663$ |
$84.64320947956111$ |
|
|
? |
$C_2^6.D_4$ (as 16T902) |
trivial |
trivial |
$6$ |
$7$ |
$2968.96122218$ |
| 16.0.230...000.5 |
$x^{16} - 10 x^{14} + 46 x^{12} - 112 x^{10} + 157 x^{8} - 121 x^{6} + 49 x^{4} - 10 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{14}\cdot 5^{4}\cdot 7^{6}$ |
$4$ |
$16.224277266311546$ |
$84.64320947956111$ |
|
|
? |
$C_2^6.D_4$ (as 16T902) |
trivial |
trivial |
$6$ |
$7$ |
$4367.6940616838265$ |
| 16.0.313...000.1 |
$x^{16} - 6 x^{15} + 23 x^{14} - 54 x^{13} + 94 x^{12} - 108 x^{11} + 89 x^{10} - 36 x^{9} + 19 x^{8} - 36 x^{7} + 89 x^{6} - 108 x^{5} + 94 x^{4} - 54 x^{3} + 23 x^{2} - 6 x + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{14}\cdot 5^{8}$ |
$3$ |
$16.5390703135$ |
$16.539070313490214$ |
|
|
? |
$D_8:C_2$ (as 16T35) |
$[2]$ |
$[2]$ |
$2$ |
$7$ |
$1264.66424923$ |
| 16.4.313...000.2 |
$x^{16} - 4 x^{15} + 6 x^{14} + 4 x^{13} - 37 x^{12} + 84 x^{11} - 92 x^{10} + 8 x^{9} + 132 x^{8} - 220 x^{7} + 118 x^{6} + 108 x^{5} - 214 x^{4} + 160 x^{3} + 30 x^{2} - 100 x + 25$ |
$16$ |
[4,6] |
$2^{24}\cdot 3^{14}\cdot 5^{8}$ |
$3$ |
$16.5390703135$ |
$16.539070313490214$ |
|
|
? |
$D_8:C_2$ (as 16T38) |
trivial |
$[2]$ |
$2$ |
$9$ |
$3580.13314395$ |
| 16.2.364...875.1 |
$x^{16} - 7 x^{15} + 17 x^{14} - 9 x^{13} - 37 x^{12} + 91 x^{11} - 98 x^{10} + 48 x^{9} + 31 x^{8} - 126 x^{7} + 235 x^{6} - 307 x^{5} + 269 x^{4} - 168 x^{3} + 65 x^{2} - 17 x + 1$ |
$16$ |
[2,7] |
$-\,3^{14}\cdot 5^{8}\cdot 11^{7}$ |
$3$ |
$16.6945762405$ |
$19.393779012805584$ |
|
|
? |
$D_{16}:C_2$ (as 16T134) |
trivial |
$[2]$ |
$2$ |
$8$ |
$2365.81050221$ |
| 16.2.364...875.2 |
$x^{16} - 4 x^{15} + 11 x^{14} - 21 x^{13} + 35 x^{12} - 50 x^{11} + 55 x^{10} - 33 x^{9} - 44 x^{8} + 129 x^{7} - 158 x^{6} + 71 x^{5} + 62 x^{4} - 114 x^{3} + 62 x^{2} - 14 x + 1$ |
$16$ |
[2,7] |
$-\,3^{14}\cdot 5^{8}\cdot 11^{7}$ |
$3$ |
$16.6945762405$ |
$19.393779012805584$ |
|
|
? |
$D_{16}:C_2$ (as 16T134) |
trivial |
$[2]$ |
$2$ |
$8$ |
$2365.81050221$ |
| 16.0.397...264.1 |
$x^{16} - 12 x^{14} + 78 x^{12} - 336 x^{10} + 987 x^{8} - 1944 x^{6} + 2466 x^{4} - 1980 x^{2} + 1089$ |
$16$ |
[0,8] |
$2^{36}\cdot 3^{14}\cdot 11^{2}$ |
$3$ |
$16.7869838946$ |
$53.50337510322118$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T608) |
trivial |
trivial |
$12$ |
$7$ |
$8769.85537598$ |
| 16.0.397...264.2 |
$x^{16} - 8 x^{15} + 26 x^{14} - 36 x^{13} - 16 x^{12} + 140 x^{11} - 188 x^{10} - 24 x^{9} + 337 x^{8} - 276 x^{7} - 176 x^{6} + 340 x^{5} + 14 x^{4} - 192 x^{3} + 2 x^{2} + 56 x + 13$ |
$16$ |
[0,8] |
$2^{36}\cdot 3^{14}\cdot 11^{2}$ |
$3$ |
$16.7869838946$ |
$44.99079632827353$ |
|
|
? |
$D_4^2:C_2^2$ (as 16T608) |
trivial |
trivial |
$12$ |
$7$ |
$12278.7384077$ |
| 16.4.451...600.1 |
$x^{16} - 8 x^{15} + 26 x^{14} - 42 x^{13} + 26 x^{12} + 20 x^{11} - 44 x^{10} - 12 x^{9} + 169 x^{8} - 294 x^{7} + 196 x^{6} + 28 x^{5} - 127 x^{4} + 84 x^{3} - 25 x^{2} + 2 x + 1$ |
$16$ |
[4,6] |
$2^{16}\cdot 3^{14}\cdot 5^{2}\cdot 7^{8}$ |
$4$ |
$16.921208005$ |
$52.037642415806324$ |
|
|
? |
$C_2^7:D_4$ (as 16T1107) |
trivial |
$[2]$ |
$2$ |
$9$ |
$4301.62259201$ |
| 16.0.493...424.2 |
$x^{16} + 6 x^{12} + 24 x^{8} + 27 x^{4} + 9$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{14}\cdot 7^{4}$ |
$3$ |
$17.0143592785$ |
$42.68092828509529$ |
|
|
? |
$C_2^4.D_4$ (as 16T255) |
trivial |
trivial |
$6$ |
$7$ |
$5244.31941527$ |
| 16.8.671...304.1 |
$x^{16} - 4 x^{15} - 7 x^{14} + 36 x^{13} + 29 x^{12} - 140 x^{11} - 95 x^{10} + 258 x^{9} + 211 x^{8} - 138 x^{7} - 194 x^{6} - 184 x^{5} - 124 x^{4} + 144 x^{3} + 248 x^{2} + 112 x + 16$ |
$16$ |
[8,4] |
$2^{16}\cdot 3^{14}\cdot 11^{8}$ |
$3$ |
$17.3463232853$ |
$17.34632328529682$ |
|
|
? |
$D_8:C_2$ (as 16T47) |
trivial |
$[2]$ |
$2$ |
$11$ |
$7413.69049003$ |
| 16.0.705...000.1 |
$x^{16} - 7 x^{15} + 26 x^{14} - 60 x^{13} + 98 x^{12} - 116 x^{11} + 109 x^{10} - 90 x^{9} + 91 x^{8} - 90 x^{7} + 85 x^{6} - 34 x^{5} + 2 x^{4} + 21 x^{3} - 7 x^{2} - 2 x + 1$ |
$16$ |
[0,8] |
$2^{12}\cdot 3^{14}\cdot 5^{4}\cdot 7^{8}$ |
$4$ |
$17.3998344297$ |
$52.037642415806324$ |
|
|
|
$C_2^7:D_4$ (as 16T1121) |
$[4]$ |
$[4]$ |
$6$ |
$7$ |
$3201.91875448$ |
| 16.0.841...104.7 |
$x^{16} + 8 x^{14} + 16 x^{12} - 16 x^{10} - 50 x^{8} + 56 x^{6} + 112 x^{4} - 16 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{44}\cdot 3^{14}$ |
$2$ |
$17.5919339575$ |
$25.423525312992446$ |
|
|
? |
$C_2^4.D_4$ (as 16T389) |
trivial |
trivial |
$6$ |
$7$ |
$11716.5853577$ |
| 16.0.841...104.9 |
$x^{16} - 4 x^{14} + 10 x^{12} + 44 x^{10} + 19 x^{8} - 28 x^{6} + 10 x^{4} + 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{44}\cdot 3^{14}$ |
$2$ |
$17.591933957503937$ |
$25.423525312992446$ |
|
|
? |
$C_2^4.D_4$ (as 16T389) |
trivial |
trivial |
$6$ |
$7$ |
$7780.532078320641$ |
| 16.0.841...104.10 |
$x^{16} - 4 x^{14} + 10 x^{12} - 52 x^{10} + 67 x^{8} + 68 x^{6} + 34 x^{4} + 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{44}\cdot 3^{14}$ |
$2$ |
$17.591933957503937$ |
$25.423525312992446$ |
|
|
? |
$C_2^4.D_4$ (as 16T389) |
trivial |
trivial |
$6$ |
$7$ |
$11716.58535771335$ |
| 16.0.841...104.12 |
$x^{16} - 4 x^{15} - 4 x^{14} + 36 x^{13} - 10 x^{12} - 116 x^{11} + 100 x^{10} + 180 x^{9} - 170 x^{8} - 180 x^{7} + 100 x^{6} + 116 x^{5} - 10 x^{4} - 36 x^{3} - 4 x^{2} + 4 x + 1$ |
$16$ |
[0,8] |
$2^{44}\cdot 3^{14}$ |
$2$ |
$17.591933957503937$ |
$23.82397414329719$ |
|
|
? |
$D_4:D_4$ (as 16T141) |
trivial |
trivial |
$6$ |
$7$ |
$6769.454992502842$ |
| 16.0.841...104.13 |
$x^{16} - 8 x^{15} + 32 x^{14} - 84 x^{13} + 152 x^{12} - 172 x^{11} + 76 x^{10} + 120 x^{9} - 299 x^{8} + 348 x^{7} - 248 x^{6} + 40 x^{5} + 224 x^{4} - 324 x^{3} + 140 x^{2} + 44 x + 7$ |
$16$ |
[0,8] |
$2^{44}\cdot 3^{14}$ |
$2$ |
$17.591933957503937$ |
$23.82397414329719$ |
|
|
|
$D_4:D_4$ (as 16T141) |
trivial |
trivial |
$6$ |
$7$ |
$15351.019788068428$ |
| 16.0.841...104.15 |
$x^{16} - 24 x^{12} + 150 x^{8} + 72 x^{4} + 9$ |
$16$ |
[0,8] |
$2^{44}\cdot 3^{14}$ |
$2$ |
$17.591933957503937$ |
$23.82397414329719$ |
|
|
? |
$D_4:D_4$ (as 16T152) |
trivial |
trivial |
$12$ |
$7$ |
$18243.5109293166$ |
| 16.0.841...104.17 |
$x^{16} + 8 x^{14} + 28 x^{12} + 56 x^{10} + 70 x^{8} + 56 x^{6} + 28 x^{4} + 8 x^{2} + 49$ |
$16$ |
[0,8] |
$2^{44}\cdot 3^{14}$ |
$2$ |
$17.591933957503937$ |
$25.423525312992446$ |
|
|
? |
$C_2^4.D_4$ (as 16T389) |
trivial |
trivial |
$6$ |
$7$ |
$7780.532078320641$ |
| 16.0.118...424.2 |
$x^{16} - 4 x^{15} + 12 x^{14} - 32 x^{13} + 44 x^{12} - 62 x^{10} + 32 x^{9} + 51 x^{8} - 40 x^{7} - 26 x^{6} + 12 x^{5} + 20 x^{4} + 16 x^{3} - 30 x^{2} - 4 x + 19$ |
$16$ |
[0,8] |
$2^{36}\cdot 3^{14}\cdot 19^{2}$ |
$3$ |
$17.9739193329$ |
|
|
|
? |
$(C_2^2\times D_4^2).D_4$ (as 16T1412) |
trivial |
trivial |
$6$ |
$7$ |
$11197.3974457$ |
| 16.0.119...000.1 |
$x^{16} - x^{15} + 9 x^{14} - 11 x^{13} + 41 x^{12} - 48 x^{11} + 121 x^{10} - 103 x^{9} + 222 x^{8} - 112 x^{7} + 241 x^{6} - 12 x^{5} + 161 x^{4} + 136 x^{3} + 54 x^{2} + 11 x + 1$ |
$16$ |
[0,8] |
$2^{12}\cdot 3^{14}\cdot 5^{14}$ |
$3$ |
$17.9825943836$ |
$21.385029187241088$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
$[4]$ |
$[4]$ |
$6$ |
$7$ |
$2507.21119771$ |
