| 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 |
| 8.2.5808919375.1 |
$x^{8} - x^{7} + x^{6} - 6 x^{5} - 17 x^{4} - 11 x^{3} + 2 x^{2} + 15 x + 11$ |
$8$ |
[2,3] |
$-\,5^{4}\cdot 7^{6}\cdot 79$ |
$3$ |
$16.6154427584$ |
$85.53071012854735$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
trivial |
$2$ |
$4$ |
$73.8704980818$ |
| 8.4.9191328125.1 |
$x^{8} - x^{7} - 13 x^{6} - 13 x^{5} + 25 x^{4} + 38 x^{3} - 33 x^{2} - 34 x + 11$ |
$8$ |
[4,2] |
$5^{7}\cdot 7^{6}$ |
$2$ |
$17.5963375242$ |
$17.596337524163744$ |
|
|
? |
$C_8:C_2$ (as 8T7) |
trivial |
$2$ |
$5$ |
$129.505077804$ |
| 8.0.12800211200.1 |
$x^{8} - 4 x^{7} + 9 x^{6} - 6 x^{5} + 2 x^{4} - 22 x^{3} + 30 x^{2} - 10 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 5^{2}\cdot 7^{6}\cdot 17$ |
$4$ |
$18.3401186902$ |
$103.76669612493649$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
$[4]$ |
$4$ |
$3$ |
$34.718649129$ |
| 8.4.16838513125.1 |
$x^{8} - 3 x^{7} + x^{6} + 3 x^{5} - 16 x^{4} + 26 x^{3} - 19 x^{2} + 4 x + 4$ |
$8$ |
[4,2] |
$5^{4}\cdot 7^{6}\cdot 229$ |
$3$ |
$18.9796398631$ |
$145.62175921950228$ |
|
|
|
$S_4\wr C_2$ (as 8T47) |
trivial |
$2$ |
$5$ |
$210.497753896$ |
| 8.6.20220921875.1 |
$x^{8} - x^{7} - 6 x^{6} + 8 x^{5} + 4 x^{4} - 39 x^{3} - 19 x^{2} + 22 x + 11$ |
$8$ |
[6,1] |
$-\,5^{6}\cdot 7^{6}\cdot 11$ |
$3$ |
$19.4189220714$ |
$47.725158108626026$ |
|
|
? |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
trivial |
$2$ |
$6$ |
$195.782974638$ |
| 8.2.20220921875.1 |
$x^{8} - 2 x^{7} + 4 x^{6} - 13 x^{5} + x^{4} + 5 x^{3} - 5 x^{2} - 5 x - 5$ |
$8$ |
[2,3] |
$-\,5^{6}\cdot 7^{6}\cdot 11$ |
$3$ |
$19.4189220714$ |
$47.725158108626026$ |
|
|
? |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
trivial |
$2$ |
$4$ |
$103.277452002$ |
| 8.0.26293139712.1 |
$x^{8} - 2 x^{7} + x^{6} - 12 x^{5} + 49 x^{4} - 72 x^{3} + 50 x^{2} - 12 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{2}\cdot 7^{6}\cdot 97$ |
$4$ |
$20.0669009099$ |
$146.82500360141077$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
$[4]$ |
$4$ |
$3$ |
$105.654393807$ |
| 8.2.34118210000.1 |
$x^{8} - 3 x^{7} + x^{6} + 3 x^{5} - 2 x^{4} + 5 x^{3} - 19 x^{2} - 10 x + 25$ |
$8$ |
[2,3] |
$-\,2^{4}\cdot 5^{4}\cdot 7^{6}\cdot 29$ |
$4$ |
$20.7311445471$ |
$146.5725098572187$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
trivial |
$2$ |
$4$ |
$203.709050283$ |
| 8.4.35888239205.1 |
$x^{8} - 2 x^{7} - 5 x^{6} + 4 x^{5} + 20 x^{4} + 4 x^{3} - 61 x^{2} + 33 x + 8$ |
$8$ |
[4,2] |
$5\cdot 7^{6}\cdot 13^{2}\cdot 19^{2}$ |
$4$ |
$20.8626282216$ |
$151.23663605143227$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$2$ |
$5$ |
$640.422869397$ |
| 8.0.39153587200.1 |
$x^{8} - 2 x^{7} + 2 x^{6} + 4 x^{5} - x^{4} - 10 x^{3} - 12 x^{2} - 16 x + 50$ |
$8$ |
[0,4] |
$2^{10}\cdot 5^{2}\cdot 7^{6}\cdot 13$ |
$4$ |
$21.0909646954$ |
$128.32763854378362$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
$[4]$ |
$4$ |
$3$ |
$173.458593684$ |
| 8.0.44486028125.1 |
$x^{8} - 3 x^{7} + x^{6} + 10 x^{5} + 5 x^{4} - 30 x^{3} - 5 x^{2} + 25 x + 25$ |
$8$ |
[0,4] |
$5^{5}\cdot 7^{6}\cdot 11^{2}$ |
$3$ |
$21.430285359$ |
$47.725158108626026$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$[2]$ |
$2$ |
$3$ |
$64.6270064213$ |
| 8.4.44486028125.1 |
$x^{8} - 2 x^{7} - 3 x^{6} + 15 x^{5} - 6 x^{4} + 12 x^{3} - 33 x^{2} - 82 x + 79$ |
$8$ |
[4,2] |
$5^{5}\cdot 7^{6}\cdot 11^{2}$ |
$3$ |
$21.430285359$ |
$47.725158108626026$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
trivial |
$2$ |
$5$ |
$245.026718105$ |
| 8.0.72885908480.1 |
$x^{8} + 8 x^{6} + 10 x^{4} - 14 x^{3} + 4 x^{2} - 14 x + 79$ |
$8$ |
[0,4] |
$2^{10}\cdot 5\cdot 7^{6}\cdot 11^{2}$ |
$4$ |
$22.794519739$ |
$80.4226172057492$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
$[2]$ |
$2$ |
$3$ |
$162.316495313$ |
| 8.4.72885908480.1 |
$x^{8} - 2 x^{7} - 6 x^{6} + 16 x^{5} - 28 x^{4} - 16 x^{3} + 64 x^{2} - 40 x + 8$ |
$8$ |
[4,2] |
$2^{10}\cdot 5\cdot 7^{6}\cdot 11^{2}$ |
$4$ |
$22.794519739$ |
$80.4226172057492$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$2$ |
$5$ |
$1021.26744479$ |
| 8.2.76808796736.1 |
$x^{8} - 3 x^{7} + x^{6} - 25 x^{5} + 54 x^{4} - 72 x^{3} + 100 x^{2} - 80 x + 32$ |
$8$ |
[2,3] |
$-\,2^{6}\cdot 7^{6}\cdot 101^{2}$ |
$3$ |
$22.944382296217274$ |
$108.9826953053031$ |
|
|
|
$C_2 \wr S_4$ (as 8T44) |
trivial |
$2$ |
$4$ |
$1136.3646125056805$ |
| 8.6.76808796736.1 |
$x^{8} - 2 x^{7} - 5 x^{6} + 18 x^{5} - 78 x^{4} + 228 x^{3} - 264 x^{2} + 124 x - 20$ |
$8$ |
[6,1] |
$-\,2^{6}\cdot 7^{6}\cdot 101^{2}$ |
$3$ |
$22.9443822962$ |
$108.9826953053031$ |
|
|
|
$C_2 \wr S_4$ (as 8T44) |
trivial |
$2$ |
$6$ |
$2597.3767185$ |
| 8.6.130516859375.1 |
$x^{8} - x^{7} - 13 x^{6} - 13 x^{5} + 60 x^{4} + 213 x^{3} - 103 x^{2} - 454 x - 199$ |
$8$ |
[6,1] |
$-\,5^{6}\cdot 7^{6}\cdot 71$ |
$3$ |
$24.5164919215$ |
$121.24957014770216$ |
|
|
? |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
trivial |
$2$ |
$6$ |
$689.658877225$ |
| 8.2.130516859375.1 |
$x^{8} - 3 x^{7} + x^{6} - 4 x^{5} + 19 x^{4} - 2 x^{3} - 26 x^{2} - 66 x - 59$ |
$8$ |
[2,3] |
$-\,5^{6}\cdot 7^{6}\cdot 71$ |
$3$ |
$24.5164919215$ |
$121.24957014770216$ |
|
|
? |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
trivial |
$2$ |
$4$ |
$200.914030676$ |
| 8.0.139296416000.1 |
$x^{8} - 2 x^{7} + 7 x^{6} + 35 x^{4} - 14 x^{3} + 105 x^{2} + 96 x + 452$ |
$8$ |
[0,4] |
$2^{8}\cdot 5^{3}\cdot 7^{6}\cdot 37$ |
$4$ |
$24.716814193$ |
$117.0683210408118$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
$[4]$ |
$4$ |
$3$ |
$300.977047516$ |
| 8.0.147970441472.1 |
$x^{8} - 2 x^{7} + x^{6} - 26 x^{5} - 21 x^{4} + 180 x^{3} + 15 x^{2} - 68 x + 365$ |
$8$ |
[0,4] |
$2^{8}\cdot 7^{6}\cdot 17^{3}$ |
$3$ |
$24.9041584705$ |
$72.0593294901264$ |
|
|
? |
$C_4\wr C_2$ (as 8T17) |
$[4]$ |
$4$ |
$3$ |
$124.978935536$ |
| 8.0.147970441472.2 |
$x^{8} - 4 x^{7} + 8 x^{6} - 10 x^{5} + 5 x^{4} - 26 x^{3} + 44 x^{2} - 18 x + 53$ |
$8$ |
[0,4] |
$2^{8}\cdot 7^{6}\cdot 17^{3}$ |
$3$ |
$24.9041584705$ |
$72.0593294901264$ |
|
|
? |
$C_4\wr C_2$ (as 8T17) |
$[4]$ |
$4$ |
$3$ |
$104.538931014$ |
| 8.6.153617593472.1 |
$x^{8} - 3 x^{7} - 6 x^{6} + 3 x^{5} + 26 x^{4} + 5 x^{3} - 61 x^{2} + 46 x - 10$ |
$8$ |
[6,1] |
$-\,2^{7}\cdot 7^{6}\cdot 101^{2}$ |
$3$ |
$25.0210263153$ |
$154.12480576473428$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$2$ |
$6$ |
$1537.80288179$ |
| 8.2.160348998656.1 |
$x^{8} + 8 x^{6} - 14 x^{5} + 10 x^{4} - 70 x^{3} + 4 x^{2} + 168 x - 117$ |
$8$ |
[2,3] |
$-\,2^{10}\cdot 7^{6}\cdot 11^{3}$ |
$3$ |
$25.1555189743$ |
$65.50001077446599$ |
|
|
? |
$Q_8:S_4$ (as 8T40) |
trivial |
$2$ |
$4$ |
$592.676016423$ |
| 8.2.160348998656.2 |
$x^{8} - 2 x^{7} + 2 x^{6} + 18 x^{5} + 6 x^{4} - 10 x^{3} - 26 x^{2} - 16 x - 6$ |
$8$ |
[2,3] |
$-\,2^{10}\cdot 7^{6}\cdot 11^{3}$ |
$3$ |
$25.1555189743$ |
$65.50001077446599$ |
|
|
? |
$Q_8:S_4$ (as 8T40) |
trivial |
$2$ |
$4$ |
$949.249393507$ |
| 8.2.174635234375.1 |
$x^{8} - 2 x^{7} + 18 x^{6} - 34 x^{5} + 120 x^{4} - 184 x^{3} + 303 x^{2} - 362 x + 121$ |
$8$ |
[2,3] |
$-\,5^{7}\cdot 7^{6}\cdot 19$ |
$3$ |
$25.425323297$ |
$76.70065704426244$ |
|
|
? |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$[2]$ |
$2$ |
$4$ |
$192.095177682$ |
| 8.6.174635234375.1 |
$x^{8} - x^{7} - 13 x^{6} + 22 x^{5} + 25 x^{4} - 102 x^{3} + 72 x^{2} + 106 x + 11$ |
$8$ |
[6,1] |
$-\,5^{7}\cdot 7^{6}\cdot 19$ |
$3$ |
$25.425323297$ |
$76.70065704426244$ |
|
|
? |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
trivial |
$2$ |
$6$ |
$688.162072619$ |
| 8.2.207062240000.1 |
$x^{8} - 4 x^{7} + 7 x^{6} - 63 x^{4} + 238 x^{3} - 469 x^{2} + 514 x - 229$ |
$8$ |
[2,3] |
$-\,2^{8}\cdot 5^{4}\cdot 7^{6}\cdot 11$ |
$4$ |
$25.9724317367$ |
$107.35131462289476$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
trivial |
$2$ |
$4$ |
$378.291031786$ |
| 8.2.207062240000.2 |
$x^{8} - 2 x^{7} + 4 x^{6} - 20 x^{5} + 43 x^{4} + 12 x^{3} - 54 x^{2} + 30 x - 5$ |
$8$ |
[2,3] |
$-\,2^{8}\cdot 5^{4}\cdot 7^{6}\cdot 11$ |
$4$ |
$25.9724317367$ |
$90.27133563916587$ |
|
|
|
$S_4\wr C_2$ (as 8T47) |
trivial |
$2$ |
$4$ |
$520.732520474$ |
| 8.2.233234907136.1 |
$x^{8} - 2 x^{7} + 4 x^{6} + 8 x^{5} + 8 x^{4} - 16 x^{3} + 58 x^{2} + 44 x - 54$ |
$8$ |
[2,3] |
$-\,2^{14}\cdot 7^{6}\cdot 11^{2}$ |
$3$ |
$26.3617473657$ |
$71.4146754232608$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$2$ |
$4$ |
$1227.20480855$ |
| 8.2.233234907136.2 |
$x^{8} - 14 x^{6} + 56 x^{4} - 98 x^{2} - 49$ |
$8$ |
[2,3] |
$-\,2^{14}\cdot 7^{6}\cdot 11^{2}$ |
$3$ |
$26.3617473657$ |
$71.4146754232608$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$2$ |
$4$ |
$783.213254955$ |
| 8.2.233234907136.3 |
$x^{8} + 14 x^{6} + 56 x^{4} + 98 x^{2} - 49$ |
$8$ |
[2,3] |
$-\,2^{14}\cdot 7^{6}\cdot 11^{2}$ |
$3$ |
$26.3617473657$ |
$71.4146754232608$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$2$ |
$4$ |
$1393.69829873$ |
| 8.2.233234907136.4 |
$x^{8} - 2 x^{7} - 10 x^{6} + 8 x^{5} + 22 x^{4} + 40 x^{3} + 30 x^{2} + 16 x + 2$ |
$8$ |
[2,3] |
$-\,2^{14}\cdot 7^{6}\cdot 11^{2}$ |
$3$ |
$26.3617473657$ |
$71.4146754232608$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$2$ |
$4$ |
$619.030211905$ |
| 8.6.277578109375.1 |
$x^{8} - 4 x^{7} + 14 x^{5} - 21 x^{4} + 14 x^{3} + 35 x^{2} - 39 x - 19$ |
$8$ |
[6,1] |
$-\,5^{6}\cdot 7^{6}\cdot 151$ |
$3$ |
$26.9415855933$ |
$176.82330630796798$ |
|
|
? |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
trivial |
$2$ |
$6$ |
$825.92073395$ |
| 8.4.291543633920.1 |
$x^{8} - 14 x^{4} - 196 x^{2} + 245$ |
$8$ |
[4,2] |
$2^{12}\cdot 5\cdot 7^{6}\cdot 11^{2}$ |
$4$ |
$27.1074050567$ |
$95.63914858821721$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$2$ |
$5$ |
$2185.54957589$ |
| 8.0.291543633920.1 |
$x^{8} - 2 x^{7} + 8 x^{6} - 12 x^{5} + 28 x^{4} - 58 x^{3} + 50 x^{2} - 12 x + 71$ |
$8$ |
[0,4] |
$2^{12}\cdot 5\cdot 7^{6}\cdot 11^{2}$ |
$4$ |
$27.1074050567$ |
$95.63914858821721$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
$[2]$ |
$2$ |
$3$ |
$168.616842797$ |
| 8.2.307235186944.1 |
$x^{8} - x^{7} - 6 x^{6} + x^{5} + 32 x^{4} - 67 x^{3} - 194 x^{2} - 181 x - 73$ |
$8$ |
[2,3] |
$-\,2^{8}\cdot 7^{6}\cdot 101^{2}$ |
$3$ |
$27.285622676004053$ |
$129.60299666924007$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$2$ |
$4$ |
$517.8018921499439$ |
| 8.6.307235186944.1 |
$x^{8} - 14 x^{6} + 28 x^{4} + 98 x^{2} - 49$ |
$8$ |
[6,1] |
$-\,2^{8}\cdot 7^{6}\cdot 101^{2}$ |
$3$ |
$27.285622676$ |
$108.9826953053031$ |
|
|
|
$C_2 \wr S_4$ (as 8T44) |
trivial |
$2$ |
$6$ |
$4490.68966201$ |
| 8.6.307235186944.2 |
$x^{8} - 2 x^{7} - 3 x^{6} - 6 x^{5} + 8 x^{4} + 26 x^{3} - 26 x^{2} + 2 x + 2$ |
$8$ |
[6,1] |
$-\,2^{8}\cdot 7^{6}\cdot 101^{2}$ |
$3$ |
$27.285622676$ |
$129.60299666924007$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$2$ |
$6$ |
$2009.20325773$ |
| 8.2.307235186944.2 |
$x^{8} - 4 x^{7} + 4 x^{6} + 2 x^{5} + 56 x^{4} + 62 x^{3} - 90 x^{2} - 136 x - 52$ |
$8$ |
[2,3] |
$-\,2^{8}\cdot 7^{6}\cdot 101^{2}$ |
$3$ |
$27.285622676004053$ |
$129.60299666924007$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
$[2]$ |
$2$ |
$4$ |
$753.9602233421044$ |
| 8.6.307235186944.3 |
$x^{8} - x^{7} - 13 x^{6} + 8 x^{5} + 32 x^{4} + 10 x^{3} + 2 x^{2} - 6 x - 10$ |
$8$ |
[6,1] |
$-\,2^{8}\cdot 7^{6}\cdot 101^{2}$ |
$3$ |
$27.285622676$ |
$129.60299666924007$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$2$ |
$6$ |
$2428.33920253$ |
| 8.2.314437188128.1 |
$x^{8} - 4 x^{7} + 35 x^{4} - 14 x^{3} - 14 x^{2} - 60 x - 152$ |
$8$ |
[2,3] |
$-\,2^{5}\cdot 7^{6}\cdot 17^{4}$ |
$3$ |
$27.3647659502$ |
$63.23191227961974$ |
|
|
|
$S_4\wr C_2$ (as 8T47) |
trivial |
$2$ |
$4$ |
$3149.67293746$ |
| 8.6.351108734375.1 |
$x^{8} - 3 x^{7} - 13 x^{6} + 45 x^{5} + 26 x^{4} - 205 x^{3} + 23 x^{2} + 291 x + 11$ |
$8$ |
[6,1] |
$-\,5^{6}\cdot 7^{6}\cdot 191$ |
$3$ |
$27.7447109221$ |
$198.86928709587343$ |
|
|
? |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
trivial |
$2$ |
$6$ |
$1432.5681937$ |
| 8.8.384043983680.1 |
$x^{8} - 2 x^{7} - 19 x^{6} + 18 x^{5} + 118 x^{4} + 4 x^{3} - 180 x^{2} - 72 x + 8$ |
$8$ |
[8,0] |
$2^{6}\cdot 5\cdot 7^{6}\cdot 101^{2}$ |
$4$ |
$28.0574127292$ |
$217.10552747939172$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$2$ |
$7$ |
$2958.27242523$ |
| 8.8.384197515625.1 |
$x^{8} - 4 x^{7} - 14 x^{6} + 56 x^{5} + 56 x^{4} - 210 x^{3} - 35 x^{2} + 150 x - 5$ |
$8$ |
[8,0] |
$5^{6}\cdot 7^{6}\cdot 11\cdot 19$ |
$4$ |
$28.0588145725$ |
$208.02914126000158$ |
|
|
? |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
trivial |
$2$ |
$7$ |
$1950.21266255$ |
| 8.6.387874046875.1 |
$x^{8} - 3 x^{7} - 6 x^{6} + 38 x^{5} - 79 x^{4} + 5 x^{3} + 275 x^{2} - 325 x + 95$ |
$8$ |
[6,1] |
$-\,5^{6}\cdot 7^{6}\cdot 211$ |
$3$ |
$28.0922380668$ |
$209.02212609719254$ |
|
|
? |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
trivial |
$2$ |
$6$ |
$897.768601879$ |
| 8.6.441650581232.1 |
$x^{8} - x^{7} - 12 x^{6} + 2 x^{5} + 35 x^{4} + 31 x^{3} + 8 x^{2} - 48 x + 16$ |
$8$ |
[6,1] |
$-\,2^{4}\cdot 7^{6}\cdot 23\cdot 101^{2}$ |
$4$ |
$28.551889278$ |
$329.25683461826776$ |
|
|
|
$C_2 \wr S_4$ (as 8T44) |
trivial |
$2$ |
$6$ |
$9468.557263$ |
| 8.6.464030715204.1 |
$x^{8} - 3 x^{7} - 5 x^{6} + 13 x^{5} + 16 x^{4} - 6 x^{3} - 47 x^{2} - 18 x + 57$ |
$8$ |
[6,1] |
$-\,2^{2}\cdot 3^{2}\cdot 7^{6}\cdot 331^{2}$ |
$4$ |
$28.7288565674$ |
$271.2240207887935$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$2$ |
$6$ |
$2944.51452426$ |
| 8.6.470596000000.1 |
$x^{8} - 14 x^{6} + 56 x^{4} - 49 x^{2} - 49$ |
$8$ |
[6,1] |
$-\,2^{8}\cdot 5^{6}\cdot 7^{6}$ |
$3$ |
$28.779353183$ |
$52.78156645931917$ |
|
|
? |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
trivial |
$2$ |
$6$ |
$1576.34772506$ |
| 8.2.470596000000.1 |
$x^{8} + 7 x^{6} - 21 x^{4} - 147 x^{2} - 49$ |
$8$ |
[2,3] |
$-\,2^{8}\cdot 5^{6}\cdot 7^{6}$ |
$3$ |
$28.779353183$ |
$52.78156645931917$ |
|
|
? |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
trivial |
$2$ |
$4$ |
$562.893581212$ |
| 8.2.470596000000.2 |
$x^{8} + 14 x^{6} + 56 x^{4} + 49 x^{2} - 49$ |
$8$ |
[2,3] |
$-\,2^{8}\cdot 5^{6}\cdot 7^{6}$ |
$3$ |
$28.779353183$ |
$52.78156645931917$ |
|
|
? |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
trivial |
$2$ |
$4$ |
$565.490195889$ |
