| 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 |
Unit signature rank |
Max $p$ |
| 16.0.68719476736000000.1 |
$x^{16} - 8 x^{15} + 32 x^{14} - 80 x^{13} + 134 x^{12} - 148 x^{11} + 92 x^{10} - 52 x^{8} + 32 x^{7} + 16 x^{6} - 32 x^{5} + 12 x^{4} + 8 x^{3} - 8 x^{2} + 2$ |
$16$ |
(0, 8) |
$2^{42}\cdot 5^{6}$ |
$2$ |
$11.2802179324$ |
$13.793952964992862$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$8$ |
$7$ |
$308.888299458$ |
$0$ |
$5$ |
| 16.0.219809187453515625.1 |
$x^{16} - 3 x^{15} + 8 x^{14} - 12 x^{13} + 16 x^{12} - 15 x^{11} + 8 x^{10} + 6 x^{9} - 20 x^{8} + 21 x^{7} - 16 x^{6} + 9 x^{5} + 4 x^{4} - 15 x^{3} + 14 x^{2} - 6 x + 1$ |
$16$ |
(0, 8) |
$3^{14}\cdot 5^{8}\cdot 7^{6}$ |
$3$ |
$12.1304766182$ |
$15.470883652211068$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$6$ |
$7$ |
$270.798871059$ |
$0$ |
$7$ |
| 16.0.396154108207169536.3 |
$x^{16} - 2 x^{14} + 2 x^{12} - 2 x^{10} + 21 x^{8} - 36 x^{6} + 32 x^{4} - 16 x^{2} + 4$ |
$16$ |
(0, 8) |
$2^{36}\cdot 7^{8}$ |
$2$ |
$12.5853851346$ |
$14.966629547095765$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$4$ |
$7$ |
$477.648173442$ |
$0$ |
$7$ |
| 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 |
$6$ |
$7$ |
$505.579087345$ |
$0$ |
$5$ |
| 16.0.840675741330898944.1 |
$x^{16} - 2 x^{15} - 3 x^{14} + 18 x^{13} - 22 x^{12} - 30 x^{11} + 113 x^{10} - 74 x^{9} - 126 x^{8} + 230 x^{7} - 67 x^{6} - 138 x^{5} + 161 x^{4} - 84 x^{3} + 36 x^{2} - 16 x + 4$ |
$16$ |
(0, 8) |
$2^{16}\cdot 3^{12}\cdot 17^{6}$ |
$3$ |
$13.1913511783$ |
$18.7972967403308$ |
|
|
|
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$12$ |
$7$ |
$2148.56458558$ |
$0$ |
$17$ |
| 16.4.130...000.1 |
$x^{16} - 3 x^{15} + 2 x^{14} + 8 x^{13} - 20 x^{12} + 17 x^{11} + x^{10} - 22 x^{9} + 28 x^{8} - 22 x^{7} + x^{6} + 17 x^{5} - 20 x^{4} + 8 x^{3} + 2 x^{2} - 3 x + 1$ |
$16$ |
(4, 6) |
$2^{12}\cdot 5^{8}\cdot 13^{8}$ |
$3$ |
$13.5590472788$ |
$16.1245154965971$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$2$ |
$9$ |
$527.421556045$ |
$4$ |
$13$ |
| 16.0.165...784.1 |
$x^{16} - 6 x^{14} - 20 x^{13} - 18 x^{12} + 36 x^{11} + 166 x^{10} + 352 x^{9} + 518 x^{8} + 576 x^{7} + 502 x^{6} + 348 x^{5} + 198 x^{4} + 92 x^{3} + 34 x^{2} + 8 x + 1$ |
$16$ |
(0, 8) |
$2^{36}\cdot 17^{6}$ |
$2$ |
$13.763720213$ |
$19.61290618356907$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$8$ |
$7$ |
$1382.13723796$ |
$0$ |
$17$ |
| 16.0.331...344.2 |
$x^{16} - 8 x^{15} + 38 x^{14} - 124 x^{13} + 304 x^{12} - 588 x^{11} + 944 x^{10} - 1312 x^{9} + 1591 x^{8} - 1604 x^{7} + 1208 x^{6} - 552 x^{5} + 52 x^{4} + 64 x^{3} + 14 x^{2} - 40 x + 13$ |
$16$ |
(0, 8) |
$2^{32}\cdot 3^{8}\cdot 7^{6}$ |
$3$ |
$14.3725021966$ |
$18.33030277982336$ |
|
|
|
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$12$ |
$7$ |
$3545.42621346$ |
$0$ |
$7$ |
| 16.0.944...296.1 |
$x^{16} - 4 x^{15} + 2 x^{14} - 6 x^{13} + 86 x^{12} - 218 x^{11} + 226 x^{10} - 288 x^{9} + 724 x^{8} - 930 x^{7} + 340 x^{6} + 248 x^{5} - 223 x^{4} + 30 x^{3} + 20 x^{2} - 8 x + 1$ |
$16$ |
(0, 8) |
$2^{24}\cdot 3^{14}\cdot 7^{6}$ |
$3$ |
$15.3439740868$ |
$19.5692919025805$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
$[2]$ |
$[2]$ |
$12$ |
$7$ |
$2306.51987946$ |
$0$ |
$7$ |
| 16.0.104...000.1 |
$x^{16} - 5 x^{15} + 6 x^{14} + 20 x^{13} - 78 x^{12} + 105 x^{11} - 17 x^{10} - 205 x^{9} + 510 x^{8} - 785 x^{7} + 877 x^{6} - 720 x^{5} + 432 x^{4} - 185 x^{3} + 54 x^{2} - 10 x + 1$ |
$16$ |
(0, 8) |
$2^{18}\cdot 3^{8}\cdot 5^{14}$ |
$3$ |
$15.4460745379$ |
$20.031080424826147$ |
|
|
|
$D_8:C_2$ (as 16T45) |
$[2]$ |
$[2]$ |
$6$ |
$7$ |
$1624.91965206$ |
$0$ |
$5$ |
| 16.4.111...000.1 |
$x^{16} - 3 x^{12} - 27 x^{8} + 12 x^{4} + 16$ |
$16$ |
(4, 6) |
$2^{12}\cdot 5^{8}\cdot 17^{8}$ |
$3$ |
$15.5053637688$ |
$18.439088914585774$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$2$ |
$9$ |
$1838.66338876$ |
$4$ |
$17$ |
| 16.0.157...616.1 |
$x^{16} - 12 x^{13} + 34 x^{12} - 72 x^{11} + 138 x^{10} - 216 x^{9} + 294 x^{8} - 348 x^{7} + 354 x^{6} - 300 x^{5} + 229 x^{4} - 132 x^{3} + 66 x^{2} - 24 x + 4$ |
$16$ |
(0, 8) |
$2^{24}\cdot 3^{12}\cdot 11^{6}$ |
$3$ |
$15.8455818628$ |
$21.383671649138826$ |
|
|
|
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$6$ |
$7$ |
$6419.52605547$ |
$0$ |
$11$ |
| 16.0.182...744.1 |
$x^{16} - 3 x^{15} + 3 x^{14} - 7 x^{13} + 14 x^{12} - 7 x^{11} + 35 x^{10} - 52 x^{9} - 12 x^{8} - 9 x^{7} + 119 x^{6} + 301 x^{5} + 364 x^{4} + 315 x^{3} + 171 x^{2} + 54 x + 9$ |
$16$ |
(0, 8) |
$2^{12}\cdot 3^{8}\cdot 7^{14}$ |
$3$ |
$15.9879915156$ |
$19.013033264982823$ |
|
|
|
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$6$ |
$7$ |
$4928.02836346$ |
$0$ |
$7$ |
| 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 |
$[2]$ |
$2$ |
$9$ |
$3695.54224592$ |
$3$ |
$3$ |
| 16.0.212...136.1 |
$x^{16} - 4 x^{15} + 8 x^{14} - 8 x^{13} + 6 x^{12} - 28 x^{10} + 76 x^{9} - 24 x^{8} - 268 x^{7} + 752 x^{6} - 1128 x^{5} + 1114 x^{4} - 752 x^{3} + 332 x^{2} - 84 x + 9$ |
$16$ |
(0, 8) |
$2^{42}\cdot 13^{6}$ |
$2$ |
$16.141076496$ |
$22.24208083433589$ |
|
|
|
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$8$ |
$7$ |
$10730.2392668$ |
$0$ |
$13$ |
| 16.0.530...504.3 |
$x^{16} - 4 x^{14} + 8 x^{12} + 60 x^{10} - 34 x^{8} - 60 x^{6} + 152 x^{4} - 28 x^{2} + 49$ |
$16$ |
(0, 8) |
$2^{36}\cdot 3^{8}\cdot 7^{6}$ |
$3$ |
$17.0918818726$ |
$21.798526485920096$ |
|
|
|
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$12$ |
$7$ |
$15555.205619$ |
$0$ |
$7$ |
| 16.4.746...000.1 |
$x^{16} - 6 x^{15} + 21 x^{14} - 54 x^{13} + 113 x^{12} - 196 x^{11} + 274 x^{10} - 312 x^{9} + 298 x^{8} - 256 x^{7} + 186 x^{6} - 92 x^{5} - 7 x^{4} + 38 x^{3} - 11 x^{2} - 2 x + 1$ |
$16$ |
(4, 6) |
$2^{24}\cdot 3^{6}\cdot 5^{14}$ |
$3$ |
$17.4608032144$ |
$20.031080424826147$ |
|
|
|
$D_8:C_2$ (as 16T45) |
trivial |
$[2]$ |
$2$ |
$9$ |
$8932.80253984$ |
$3$ |
$5$ |
| 16.0.841...104.4 |
$x^{16} - 18 x^{12} + 111 x^{8} - 54 x^{4} + 9$ |
$16$ |
(0, 8) |
$2^{44}\cdot 3^{14}$ |
$2$ |
$17.5919339575$ |
$19.18414001319457$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$6$ |
$7$ |
$10625.6230108$ |
$0$ |
$3$ |
| 16.4.109...000.4 |
$x^{16} - 8 x^{14} + 12 x^{12} + 12 x^{10} - 57 x^{8} + 76 x^{6} - 42 x^{4} + 4 x^{2} + 1$ |
$16$ |
(4, 6) |
$2^{48}\cdot 5^{8}$ |
$2$ |
$17.88854382$ |
$19.507595361829473$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$2$ |
$9$ |
$5554.65295071$ |
$4$ |
$5$ |
| 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) |
$[4]$ |
$[4]$ |
$6$ |
$7$ |
$2507.21119771$ |
$0$ |
$5$ |
| 16.0.141...625.1 |
$x^{16} - 5 x^{15} + 5 x^{14} + 27 x^{13} - 94 x^{12} + 110 x^{11} + 40 x^{10} - 378 x^{9} + 805 x^{8} - 1131 x^{7} + 1165 x^{6} - 887 x^{5} + 497 x^{4} - 201 x^{3} + 56 x^{2} - 10 x + 1$ |
$16$ |
(0, 8) |
$3^{12}\cdot 5^{6}\cdot 19^{8}$ |
$3$ |
$18.1690195885$ |
$22.21788649167895$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
$[2]$ |
$[2]$ |
$6$ |
$7$ |
$6365.05426835$ |
$0$ |
$19$ |
| 16.0.142...544.1 |
$x^{16} - 6 x^{15} + 8 x^{14} + 30 x^{13} - 110 x^{12} + 48 x^{11} + 374 x^{10} - 726 x^{9} - 89 x^{8} + 1968 x^{7} - 2494 x^{6} - 78 x^{5} + 3634 x^{4} - 4722 x^{3} + 3086 x^{2} - 1092 x + 169$ |
$16$ |
(0, 8) |
$2^{24}\cdot 3^{14}\cdot 11^{6}$ |
$3$ |
$18.1780941446$ |
$24.531405647374985$ |
|
|
|
$D_8:C_2$ (as 16T45) |
$[2]$ |
$[2]$ |
$12$ |
$7$ |
$12824.3091244$ |
$0$ |
$11$ |
| 16.0.170...416.1 |
$x^{16} - x^{15} + 2 x^{14} + 4 x^{13} - 25 x^{12} + 4 x^{11} - 6 x^{10} - 84 x^{9} + 64 x^{8} + 150 x^{7} + 276 x^{6} + 556 x^{5} + 605 x^{4} + 337 x^{3} + 98 x^{2} + 14 x + 1$ |
$16$ |
(0, 8) |
$2^{12}\cdot 3^{12}\cdot 23^{8}$ |
$3$ |
$18.3855808857$ |
$21.864263602715052$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
$[3]$ |
$[3]$ |
$6$ |
$7$ |
$6987.90665691$ |
$0$ |
$23$ |
| 16.0.210...376.4 |
$x^{16} - 8 x^{14} + 44 x^{12} - 144 x^{10} + 328 x^{8} - 464 x^{6} + 440 x^{4} - 192 x^{2} + 36$ |
$16$ |
(0, 8) |
$2^{58}\cdot 3^{6}$ |
$2$ |
$18.6274842474$ |
$21.36950004471431$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$8$ |
$7$ |
$23016.9108625$ |
$0$ |
$3$ |
| 16.0.405...864.3 |
$x^{16} - 8 x^{12} + 13 x^{8} + 12 x^{4} + 4$ |
$16$ |
(0, 8) |
$2^{46}\cdot 7^{8}$ |
$2$ |
$19.4093171965$ |
$21.166010488516726$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$2$ |
$7$ |
$10856.0619541$ |
$0$ |
$7$ |
| 16.4.891...000.1 |
$x^{16} - 8 x^{15} + 32 x^{14} - 60 x^{13} + 284 x^{11} - 758 x^{10} + 1276 x^{9} - 1709 x^{8} + 1428 x^{7} - 246 x^{6} - 452 x^{5} + 30 x^{4} + 420 x^{3} - 326 x^{2} + 100 x - 11$ |
$16$ |
(4, 6) |
$2^{32}\cdot 3^{12}\cdot 5^{8}$ |
$3$ |
$20.3885309382$ |
$20.38853093816547$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
$[2, 2]$ |
$2$ |
$9$ |
$20026.6033091$ |
$2$ |
$5$ |
| 16.0.971...264.1 |
$x^{16} - 5 x^{15} + 14 x^{14} - 36 x^{13} + 122 x^{12} - 367 x^{11} + 751 x^{10} - 981 x^{9} + 742 x^{8} - 177 x^{7} - 203 x^{6} + 184 x^{5} - 16 x^{4} - 57 x^{3} + 38 x^{2} - 10 x + 1$ |
$16$ |
(0, 8) |
$2^{18}\cdot 3^{12}\cdot 17^{8}$ |
$3$ |
$20.4985974485$ |
$26.58339198612739$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$6$ |
$7$ |
$31910.2634467$ |
$0$ |
$17$ |
| 16.0.107...000.2 |
$x^{16} - 4 x^{15} - 4 x^{14} + 28 x^{13} + 18 x^{12} - 48 x^{11} - 64 x^{10} - 64 x^{9} - 36 x^{8} + 52 x^{7} + 212 x^{6} + 348 x^{5} + 394 x^{4} + 264 x^{3} + 96 x^{2} + 16 x + 1$ |
$16$ |
(0, 8) |
$2^{42}\cdot 5^{12}$ |
$2$ |
$20.6267707544$ |
$20.626770754424918$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
$[4]$ |
$[4]$ |
$4$ |
$7$ |
$10024.846831$ |
$0$ |
$5$ |
| 16.0.134...664.44 |
$x^{16} - 12 x^{14} + 66 x^{12} - 204 x^{10} + 318 x^{8} - 36 x^{6} - 558 x^{4} + 396 x^{2} + 441$ |
$16$ |
(0, 8) |
$2^{48}\cdot 3^{14}$ |
$2$ |
$20.920453028921656$ |
$22.813915798899377$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$6$ |
$7$ |
$44203.825972992745$ |
$0$ |
$3$ |
| 16.4.189...384.8 |
$x^{16} - 4 x^{12} - 30 x^{8} + 68 x^{4} + 1$ |
$16$ |
(4, 6) |
$2^{58}\cdot 3^{8}$ |
$2$ |
$21.3695000447$ |
$21.36950004471431$ |
|
|
|
$D_8:C_2$ (as 16T45) |
trivial |
$[2]$ |
$2$ |
$9$ |
$49001.0569611$ |
$3$ |
$3$ |
| 16.4.191...000.2 |
$x^{16} - 6 x^{15} + 11 x^{14} + 6 x^{13} - 47 x^{12} + 24 x^{11} + 74 x^{10} + 48 x^{9} - 362 x^{8} + 264 x^{7} + 386 x^{6} - 792 x^{5} + 73 x^{4} + 438 x^{3} - 181 x^{2} + 18 x + 1$ |
$16$ |
(4, 6) |
$2^{16}\cdot 3^{14}\cdot 5^{14}$ |
$3$ |
$21.3850291872$ |
$21.385029187241088$ |
|
|
|
$D_8:C_2$ (as 16T45) |
$[2]$ |
$[2, 4]$ |
$2$ |
$9$ |
$31121.0187165$ |
$2$ |
$5$ |
| 16.4.291...304.2 |
$x^{16} - 4 x^{15} + 2 x^{14} + 14 x^{12} + 56 x^{11} - 238 x^{10} + 136 x^{9} + 345 x^{8} - 540 x^{7} + 224 x^{6} + 112 x^{5} - 196 x^{4} + 112 x^{3} + 16 x^{2} - 64 x + 32$ |
$16$ |
(4, 6) |
$2^{32}\cdot 7^{14}$ |
$2$ |
$21.9543597473$ |
$21.954359747298287$ |
|
|
|
$D_8:C_2$ (as 16T45) |
trivial |
$[2, 2]$ |
$2$ |
$9$ |
$342362.827423$ |
$2$ |
$7$ |
| 16.4.538...656.14 |
$x^{16} - 102 x^{8} + 9$ |
$16$ |
(4, 6) |
$2^{50}\cdot 3^{14}$ |
$2$ |
$22.813915798899377$ |
$22.813915798899377$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
$[2]$ |
$2$ |
$9$ |
$66414.75672882414$ |
$3$ |
$3$ |
| 16.0.957...944.66 |
$x^{16} - 12 x^{14} + 78 x^{12} - 360 x^{10} + 1170 x^{8} - 2160 x^{6} + 2268 x^{4} - 1296 x^{2} + 324$ |
$16$ |
(0, 8) |
$2^{54}\cdot 3^{12}$ |
$2$ |
$23.64923933252054$ |
$28.12384367863563$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$12$ |
$7$ |
$158779.45519933436$ |
$0$ |
$3$ |
| 16.0.134...064.40 |
$x^{16} - 16 x^{10} + 132 x^{8} + 192 x^{6} + 128 x^{4} + 96 x^{2} + 36$ |
$16$ |
(0, 8) |
$2^{64}\cdot 3^{6}$ |
$2$ |
$24.15685837563368$ |
$27.712812921102035$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$8$ |
$7$ |
$223698.54722112467$ |
$0$ |
$3$ |
| 16.0.382...776.118 |
$x^{16} + 18 x^{12} + 297 x^{8} - 1296 x^{6} + 2214 x^{4} - 1944 x^{2} + 729$ |
$16$ |
(0, 8) |
$2^{56}\cdot 3^{12}$ |
$2$ |
$25.789678363765006$ |
$28.12384367863563$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$6$ |
$7$ |
$328226.7478372471$ |
$0$ |
$3$ |
| 16.0.861...496.23 |
$x^{16} - 12 x^{14} + 78 x^{12} - 336 x^{10} + 870 x^{8} - 1152 x^{6} + 684 x^{4} - 144 x^{2} + 36$ |
$16$ |
(0, 8) |
$2^{54}\cdot 3^{14}$ |
$2$ |
$27.130470989124127$ |
$32.263749133641326$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$12$ |
$7$ |
$695883.8930798479$ |
$0$ |
$3$ |
| 16.4.121...576.34 |
$x^{16} - 16 x^{12} + 12 x^{8} + 416 x^{4} + 1$ |
$16$ |
(4, 6) |
$2^{64}\cdot 3^{8}$ |
$2$ |
$27.712812921102035$ |
$27.712812921102035$ |
|
|
|
$D_8:C_2$ (as 16T45) |
trivial |
$[2]$ |
$2$ |
$9$ |
$408447.1861914075$ |
$3$ |
$3$ |
| 16.4.121...576.67 |
$x^{16} - 32 x^{12} + 36 x^{8} + 64 x^{4} + 4$ |
$16$ |
(4, 6) |
$2^{64}\cdot 3^{8}$ |
$2$ |
$27.712812921102035$ |
$27.712812921102035$ |
|
|
|
$D_8:C_2$ (as 16T45) |
trivial |
$[2]$ |
$2$ |
$9$ |
$437054.824337062$ |
$3$ |
$3$ |
| 16.4.153...104.88 |
$x^{16} - 24 x^{12} - 90 x^{8} + 216 x^{4} + 81$ |
$16$ |
(4, 6) |
$2^{58}\cdot 3^{12}$ |
$2$ |
$28.12384367863563$ |
$28.12384367863563$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
$[2]$ |
$2$ |
$9$ |
$374438.4570515644$ |
$3$ |
$3$ |
| 16.0.153...104.127 |
$x^{16} - 36 x^{12} + 360 x^{8} + 216 x^{4} + 324$ |
$16$ |
(0, 8) |
$2^{58}\cdot 3^{12}$ |
$2$ |
$28.12384367863563$ |
$28.12384367863563$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
$[2]$ |
$[2]$ |
$4$ |
$7$ |
$351777.99166213727$ |
$0$ |
$3$ |
| 16.0.233...625.1 |
$x^{16} - 7 x^{15} + 16 x^{14} - 11 x^{13} + 59 x^{12} - 349 x^{11} + 586 x^{10} + 206 x^{9} - 1354 x^{8} + 280 x^{7} + 1715 x^{6} - 713 x^{5} - 377 x^{4} - 596 x^{3} + 153 x^{2} + 209 x + 361$ |
$16$ |
(0, 8) |
$3^{6}\cdot 5^{8}\cdot 7^{6}\cdot 17^{8}$ |
$4$ |
$28.876310191$ |
$42.24926034855522$ |
✓ |
|
? |
$D_8:C_2$ (as 16T45) |
$[2]$ |
$[2]$ |
$2$ |
$7$ |
$42426.8341092$ |
$0$ |
$17$ |
| 16.16.233...625.1 |
$x^{16} - 5 x^{15} - 12 x^{14} + 99 x^{13} - 37 x^{12} - 615 x^{11} + 832 x^{10} + 1329 x^{9} - 3072 x^{8} - 200 x^{7} + 3703 x^{6} - 1523 x^{5} - 1128 x^{4} + 463 x^{3} + 174 x^{2} - 7 x - 1$ |
$16$ |
(16, 0) |
$3^{6}\cdot 5^{8}\cdot 7^{6}\cdot 17^{8}$ |
$4$ |
$28.876310191$ |
$42.24926034855522$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
$[2]$ |
$2$ |
$15$ |
$2838226.42577$ |
$15$ |
$17$ |
| 16.0.582...224.1 |
$x^{16} + 20 x^{14} - 24 x^{13} + 154 x^{12} - 288 x^{11} + 776 x^{10} - 1224 x^{9} + 2179 x^{8} - 2784 x^{7} + 2984 x^{6} - 1944 x^{5} + 1042 x^{4} - 1152 x^{3} + 1796 x^{2} - 1536 x + 529$ |
$16$ |
(0, 8) |
$2^{36}\cdot 3^{14}\cdot 11^{6}$ |
$3$ |
$30.5717884047$ |
$41.256742140024706$ |
✓ |
|
? |
$D_8:C_2$ (as 16T45) |
$[2, 2, 2]$ |
$[2, 2, 2]$ |
$2$ |
$7$ |
$19975.482948$ |
$0$ |
$11$ |
| 16.16.582...224.1 |
$x^{16} - 28 x^{14} - 24 x^{13} + 274 x^{12} + 432 x^{11} - 952 x^{10} - 2304 x^{9} + 319 x^{8} + 3552 x^{7} + 1424 x^{6} - 1584 x^{5} - 794 x^{4} + 288 x^{3} + 92 x^{2} - 24 x + 1$ |
$16$ |
(16, 0) |
$2^{36}\cdot 3^{14}\cdot 11^{6}$ |
$3$ |
$30.5717884047$ |
$41.256742140024706$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
$[2, 2, 2]$ |
$2$ |
$15$ |
$5437676.91124$ |
$13$ |
$11$ |
| 16.0.137...936.58 |
$x^{16} - 48 x^{10} + 1758 x^{8} - 2016 x^{6} + 1152 x^{4} + 144 x^{2} + 9$ |
$16$ |
(0, 8) |
$2^{58}\cdot 3^{14}$ |
$2$ |
$32.263749133641326$ |
$32.263749133641326$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
$[2]$ |
$[2]$ |
$4$ |
$7$ |
$1124578.180045833$ |
$0$ |
$3$ |
| 16.0.980...656.107 |
$x^{16} + 36 x^{8} + 81$ |
$16$ |
(0, 8) |
$2^{64}\cdot 3^{12}$ |
$2$ |
$36.47211291127644$ |
$36.47211291127644$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
$[2]$ |
$[2]$ |
$2$ |
$7$ |
$1899605.0798749686$ |
$0$ |
$3$ |
| 16.4.980...656.274 |
$x^{16} - 96 x^{12} + 324 x^{8} + 1728 x^{4} + 324$ |
$16$ |
(4, 6) |
$2^{64}\cdot 3^{12}$ |
$2$ |
$36.47211291127644$ |
$36.47211291127644$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
$[2]$ |
$2$ |
$9$ |
$2809332.0967947957$ |
$3$ |
$3$ |
| 16.0.220...976.38 |
$x^{16} - 24 x^{12} + 186 x^{8} + 144 x^{4} + 36$ |
$16$ |
(0, 8) |
$2^{62}\cdot 3^{14}$ |
$2$ |
$38.36828002638914$ |
$41.84090605784331$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$6$ |
$7$ |
$5622321.451631672$ |
$0$ |
$3$ |
| 16.0.220...976.94 |
$x^{16} - 48 x^{12} + 744 x^{8} + 1152 x^{4} + 576$ |
$16$ |
(0, 8) |
$2^{62}\cdot 3^{14}$ |
$2$ |
$38.36828002638914$ |
$41.84090605784331$ |
|
|
? |
$D_8:C_2$ (as 16T45) |
trivial |
trivial |
$6$ |
$7$ |
$8138627.094687601$ |
$0$ |
$3$ |
