| 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 |
| 8.2.5878435887.1 |
$x^{8} - 2 x^{7} + 7 x^{5} - 27 x^{4} + 73 x^{3} - 99 x^{2} + 64 x - 16$ |
$8$ |
[2,3] |
$-\,3^{2}\cdot 23\cdot 73^{4}$ |
$3$ |
$16.6401686363$ |
$70.97182539571601$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$4$ |
$199.354633624$ |
| 8.2.6134020056.1 |
$x^{8} - 3 x^{7} - 3 x^{6} + 14 x^{5} - 6 x^{4} + 14 x^{3} - 3 x^{2} - 3 x + 1$ |
$8$ |
[2,3] |
$-\,2^{3}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$16.7289294236$ |
$55.086777132635675$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$4$ |
$195.311172579$ |
| 8.0.6134020056.1 |
$x^{8} - 2 x^{7} + 7 x^{6} - 8 x^{5} + 20 x^{4} - 15 x^{3} + 28 x^{2} - 9 x + 2$ |
$8$ |
[0,4] |
$2^{3}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$16.7289294236$ |
$55.086777132635675$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$271.985110715$ |
| 8.2.10450552688.1 |
$x^{8} + 4 x^{6} - 9 x^{5} + 6 x^{4} - 18 x^{3} + 6 x^{2} - 9 x + 1$ |
$8$ |
[2,3] |
$-\,2^{4}\cdot 23\cdot 73^{4}$ |
$3$ |
$17.881024877$ |
$91.98711741920152$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
trivial |
trivial |
$2$ |
$4$ |
$210.275460216$ |
| 8.4.12268040112.1 |
$x^{8} - 5 x^{6} - x^{4} + 9 x^{2} + 12$ |
$8$ |
[4,2] |
$2^{4}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$18.2430268956$ |
$55.086777132635675$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$5$ |
$567.108518614$ |
| 8.2.17124139323.1 |
$x^{8} - 3 x^{7} - x^{6} + x^{5} + 29 x^{4} - 73 x^{3} + 84 x^{2} - 52 x + 16$ |
$8$ |
[2,3] |
$-\,3^{2}\cdot 67\cdot 73^{4}$ |
$3$ |
$19.0195875186$ |
$121.1321592311472$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$4$ |
$470.894073082$ |
| 8.4.23513743548.1 |
$x^{8} - 2 x^{7} - 4 x^{5} - 4 x^{4} + 30 x^{3} - 53 x^{2} + 14 x + 2$ |
$8$ |
[4,2] |
$2^{2}\cdot 3^{2}\cdot 23\cdot 73^{4}$ |
$4$ |
$19.7886069371$ |
$141.94365079143202$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$[2]$ |
$2$ |
$5$ |
$433.691687079$ |
| 8.2.24536080224.1 |
$x^{8} - 4 x^{7} + 5 x^{6} + 4 x^{5} - 33 x^{4} + 82 x^{3} - 102 x^{2} + 64 x - 16$ |
$8$ |
[2,3] |
$-\,2^{5}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$19.8941618969$ |
$77.90446732839746$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$[2]$ |
$2$ |
$4$ |
$580.882924079$ |
| 8.4.24536080224.1 |
$x^{8} - 6 x^{6} + 22 x^{4} - 39 x^{2} + 24$ |
$8$ |
[4,2] |
$2^{5}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$19.8941618969$ |
$77.90446732839746$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$[2]$ |
$2$ |
$5$ |
$650.141785087$ |
| 8.2.31436852787.1 |
$x^{8} - 2 x^{7} + x^{6} + 14 x^{5} - 17 x^{4} + 3 x^{3} - 24 x^{2} + 52 x - 16$ |
$8$ |
[2,3] |
$-\,3^{3}\cdot 41\cdot 73^{4}$ |
$3$ |
$20.5201193623$ |
$124.7079957386893$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$4$ |
$1494.37136911$ |
| 8.0.43193724561.1 |
$x^{8} - 3 x^{7} + 3 x^{6} - 8 x^{5} + 34 x^{4} - 59 x^{3} + 59 x^{2} - 15 x + 12$ |
$8$ |
[0,4] |
$3^{2}\cdot 13^{2}\cdot 73^{4}$ |
$3$ |
$21.3514602284$ |
$53.3572862878164$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
trivial |
$2$ |
$3$ |
$703.868165384$ |
| 8.2.45068008467.1 |
$x^{8} - 3 x^{7} - 5 x^{6} + 19 x^{5} - 12 x^{4} - 22 x^{3} + 79 x^{2} - 42 x + 12$ |
$8$ |
[2,3] |
$-\,3\cdot 23^{2}\cdot 73^{4}$ |
$3$ |
$21.4651311293$ |
$70.97182539571601$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$4$ |
$574.452587838$ |
| 8.6.49072160448.1 |
$x^{8} - 4 x^{7} - x^{6} + 6 x^{5} - 2 x^{4} + 6 x^{3} - x^{2} - 4 x + 1$ |
$8$ |
[6,1] |
$-\,2^{6}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$21.6947373835$ |
$55.086777132635675$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$[2]$ |
$2$ |
$6$ |
$1024.50628753$ |
| 8.2.49072160448.1 |
$x^{8} - 4 x^{7} + 9 x^{6} - 13 x^{5} + x^{4} + 15 x^{3} - 35 x^{2} + 26 x - 6$ |
$8$ |
[2,3] |
$-\,2^{6}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$21.6947373835$ |
$55.086777132635675$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$[2]$ |
$2$ |
$4$ |
$1174.95349094$ |
| 8.2.49072160448.2 |
$x^{8} - x^{7} - x^{6} + 5 x^{5} - 26 x^{4} - 22 x^{3} + 48 x^{2} + 12 x + 8$ |
$8$ |
[2,3] |
$-\,2^{6}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$21.6947373835$ |
$55.086777132635675$ |
|
|
|
$(C_4^2 : C_2):C_2$ (as 8T26) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$718.407011608$ |
| 8.2.49072160448.3 |
$x^{8} - 4 x^{7} - x^{6} + 17 x^{5} - 3 x^{4} - 27 x^{3} + 46 x^{2} - 29 x - 32$ |
$8$ |
[2,3] |
$-\,2^{6}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$21.6947373835$ |
$55.086777132635675$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$[2]$ |
$2$ |
$4$ |
$946.952020661$ |
| 8.2.49072160448.4 |
$x^{8} - x^{7} - 6 x^{6} - 7 x^{5} + 2 x^{4} - 7 x^{3} - 6 x^{2} - x + 1$ |
$8$ |
[2,3] |
$-\,2^{6}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$21.6947373835$ |
$55.086777132635675$ |
|
|
|
$(C_4^2 : C_2):C_2$ (as 8T26) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$269.115652761$ |
| 8.0.49072160448.1 |
$x^{8} - 5 x^{5} + 11 x^{4} - 12 x^{2} + 9 x + 12$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$21.6947373835$ |
$77.90446732839746$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$527.26588591$ |
| 8.2.52905922983.1 |
$x^{8} - 2 x^{7} + 4 x^{6} + 4 x^{5} - 10 x^{4} - 39 x^{3} - 23 x^{2} + 9 x + 24$ |
$8$ |
[2,3] |
$-\,3^{4}\cdot 23\cdot 73^{4}$ |
$3$ |
$21.8996935133$ |
$70.97182539571601$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$[2]$ |
$2$ |
$4$ |
$1101.44373797$ |
| 8.2.55206180504.1 |
$x^{8} - 6 x^{6} - 12 x^{4} + 63 x^{2} - 54$ |
$8$ |
[2,3] |
$-\,2^{3}\cdot 3^{5}\cdot 73^{4}$ |
$3$ |
$22.0165092789$ |
$55.086777132635675$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$[2]$ |
$2$ |
$4$ |
$1741.64765539$ |
| 8.4.55206180504.1 |
$x^{8} - 2 x^{7} + 3 x^{6} - 5 x^{5} - 67 x^{4} + 68 x^{3} - 14 x^{2} - 3 x + 1$ |
$8$ |
[4,2] |
$2^{3}\cdot 3^{5}\cdot 73^{4}$ |
$3$ |
$22.0165092789$ |
$55.086777132635675$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$[2]$ |
$2$ |
$5$ |
$629.592777341$ |
| 8.2.98144320896.1 |
$x^{8} - x^{7} - 6 x^{6} - 2 x^{5} + 31 x^{4} - 11 x^{3} - 14 x^{2} - 6 x - 16$ |
$8$ |
[2,3] |
$-\,2^{7}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$23.6582788748$ |
$77.90446732839746$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$944.854645592$ |
| 8.0.98144320896.1 |
$x^{8} + 6 x^{6} + 22 x^{4} + 39 x^{2} + 24$ |
$8$ |
[0,4] |
$2^{7}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$23.6582788748$ |
$77.90446732839746$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[2]$ |
$[2]$ |
$2$ |
$3$ |
$244.958138185$ |
| 8.2.100188994248.1 |
$x^{8} - 2 x^{7} + 4 x^{6} - 16 x^{5} + 10 x^{4} + 4 x^{3} + 7 x^{2} - 48 x + 24$ |
$8$ |
[2,3] |
$-\,2^{3}\cdot 3^{2}\cdot 7^{2}\cdot 73^{4}$ |
$4$ |
$23.7193346298$ |
$110.74294559925703$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$4$ |
$1350.27452655$ |
| 8.2.100188994248.2 |
$x^{8} - 2 x^{7} + 5 x^{6} + 12 x^{5} + 4 x^{4} + 16 x^{3} + 23 x^{2} - 18 x - 9$ |
$8$ |
[2,3] |
$-\,2^{3}\cdot 3^{2}\cdot 7^{2}\cdot 73^{4}$ |
$4$ |
$23.7193346298$ |
$110.74294559925703$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$4$ |
$751.287501063$ |
| 8.0.100188994248.1 |
$x^{8} - 4 x^{7} + 16 x^{6} - 17 x^{5} + 46 x^{4} - 6 x^{3} + 138 x^{2} + 11 x + 71$ |
$8$ |
[0,4] |
$2^{3}\cdot 3^{2}\cdot 7^{2}\cdot 73^{4}$ |
$4$ |
$23.7193346298$ |
$110.74294559925703$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$661.826908315$ |
| 8.4.100188994248.1 |
$x^{8} - x^{7} - 4 x^{6} + 28 x^{5} - 58 x^{4} - 57 x^{3} + 282 x^{2} - 234 x + 27$ |
$8$ |
[4,2] |
$2^{3}\cdot 3^{2}\cdot 7^{2}\cdot 73^{4}$ |
$4$ |
$23.7193346298$ |
$110.74294559925703$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$5$ |
$2980.0751684$ |
| 8.4.109957989152.1 |
$x^{8} - 3 x^{7} + 5 x^{6} - 8 x^{5} + 13 x^{4} - 7 x^{3} - 43 x^{2} + 38 x + 12$ |
$8$ |
[4,2] |
$2^{5}\cdot 11^{2}\cdot 73^{4}$ |
$3$ |
$23.9968009238$ |
$113.34901852243803$ |
|
|
|
$S_4\wr C_2$ (as 8T47) |
trivial |
trivial |
$2$ |
$5$ |
$1952.88263128$ |
| 8.0.110412361008.1 |
$x^{8} - x^{7} - 7 x^{6} + 18 x^{5} - 4 x^{4} - 42 x^{3} + 101 x^{2} - 91 x + 49$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{5}\cdot 73^{4}$ |
$3$ |
$24.009173615$ |
$55.086777132635675$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[2]$ |
$[2]$ |
$2$ |
$3$ |
$482.94502474$ |
| 8.2.123021180012.1 |
$x^{8} - 2 x^{7} + 4 x^{6} - 9 x^{5} + 6 x^{4} - 25 x^{3} + 33 x^{2} - 48 x + 64$ |
$8$ |
[2,3] |
$-\,2^{2}\cdot 3\cdot 19^{2}\cdot 73^{4}$ |
$4$ |
$24.3359041424$ |
$102.39659651192092$ |
|
|
|
$S_4\wr C_2$ (as 8T47) |
trivial |
trivial |
$2$ |
$4$ |
$2796.6958804$ |
| 8.4.123702737796.1 |
$x^{8} - 4 x^{7} + 4 x^{6} - 15 x^{5} + 27 x^{4} + 6 x^{3} + 38 x^{2} - 14 x - 16$ |
$8$ |
[4,2] |
$2^{2}\cdot 3^{2}\cdot 11^{2}\cdot 73^{4}$ |
$4$ |
$24.3527165536$ |
$77.91212754374956$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$[2]$ |
$2$ |
$5$ |
$1597.03443656$ |
| 8.4.138129044224.4 |
$x^{8} - 8 x^{6} - 16 x^{5} + 11 x^{4} + 64 x^{3} + 84 x^{2} + 40 x - 12$ |
$8$ |
[4,2] |
$2^{8}\cdot 19\cdot 73^{4}$ |
$3$ |
$24.6908263924$ |
$105.33755265810954$ |
|
|
|
$S_4\wr C_2$ (as 8T47) |
trivial |
$[2]$ |
$2$ |
$5$ |
$993.380766824$ |
| 8.2.154117253907.1 |
$x^{8} - 2 x^{7} - 2 x^{6} - 14 x^{5} - 4 x^{4} - 6 x^{3} + 25 x^{2} + 6 x - 12$ |
$8$ |
[2,3] |
$-\,3^{4}\cdot 67\cdot 73^{4}$ |
$3$ |
$25.0311848704$ |
$121.1321592311472$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$[2]$ |
$2$ |
$4$ |
$2899.2067079$ |
| 8.2.167208843008.1 |
$x^{8} - 8 x^{6} - 8 x^{5} + 35 x^{4} + 32 x^{3} - 60 x^{2} - 76 x + 72$ |
$8$ |
[2,3] |
$-\,2^{8}\cdot 23\cdot 73^{4}$ |
$3$ |
$25.2875878902$ |
$146.0204469587628$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$1004.82917029$ |
| 8.2.167208843008.2 |
$x^{8} - x^{7} + 6 x^{6} - 8 x^{5} + 16 x^{4} + 38 x^{3} - 48 x^{2} + 40 x + 100$ |
$8$ |
[2,3] |
$-\,2^{8}\cdot 23\cdot 73^{4}$ |
$3$ |
$25.2875878902$ |
$130.08942901784118$ |
|
|
|
$S_4\wr C_2$ (as 8T47) |
trivial |
$[2]$ |
$2$ |
$4$ |
$2813.85067588$ |
| 8.2.172774898244.1 |
$x^{8} - 3 x^{7} - 12 x^{6} + 60 x^{5} - 94 x^{4} + 94 x^{3} - 77 x^{2} + 33 x - 18$ |
$8$ |
[2,3] |
$-\,2^{2}\cdot 3^{2}\cdot 13^{2}\cdot 73^{4}$ |
$4$ |
$25.3913084193$ |
$106.7145725756328$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$[2]$ |
$2$ |
$4$ |
$4233.67156323$ |
| 8.2.172774898244.2 |
$x^{8} - 4 x^{7} + 6 x^{6} + 6 x^{5} - 18 x^{4} + 8 x^{3} - 47 x^{2} + 78 x - 18$ |
$8$ |
[2,3] |
$-\,2^{2}\cdot 3^{2}\cdot 13^{2}\cdot 73^{4}$ |
$4$ |
$25.3913084193$ |
$106.7145725756328$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$[2]$ |
$2$ |
$4$ |
$1596.13664872$ |
| 8.4.174478792704.1 |
$x^{8} - 4 x^{7} + 11 x^{6} - 14 x^{5} - 24 x^{4} + 36 x^{3} + 10 x^{2} + 8$ |
$8$ |
[4,2] |
$2^{11}\cdot 3\cdot 73^{4}$ |
$3$ |
$25.4224751176$ |
$76.7658913717416$ |
|
|
|
$S_4\wr C_2$ (as 8T47) |
trivial |
trivial |
$2$ |
$5$ |
$4370.22085972$ |
| 8.6.196288641792.1 |
$x^{8} - 3 x^{7} - 5 x^{6} + 17 x^{5} - 18 x^{4} + 17 x^{3} - 5 x^{2} - 3 x + 1$ |
$8$ |
[6,1] |
$-\,2^{8}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$25.7995360546$ |
$77.90446732839746$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$[2, 2]$ |
$2$ |
$6$ |
$2808.55947587$ |
| 8.2.196288641792.2 |
$x^{8} - x^{7} - 12 x^{6} + 11 x^{5} + 50 x^{4} - 55 x^{3} - 99 x^{2} + 44 x - 8$ |
$8$ |
[2,3] |
$-\,2^{8}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$25.7995360546$ |
$77.90446732839746$ |
|
|
|
$(C_4^2 : C_2):C_2$ (as 8T26) |
trivial |
$[2]$ |
$2$ |
$4$ |
$1051.51560971$ |
| 8.2.196288641792.3 |
$x^{8} - x^{7} - 7 x^{5} + 20 x^{4} - 25 x^{3} + 45 x^{2} - 60 x + 24$ |
$8$ |
[2,3] |
$-\,2^{8}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$25.7995360546$ |
$123.12971811496799$ |
|
|
|
$S_4\wr C_2$ (as 8T47) |
trivial |
trivial |
$2$ |
$4$ |
$2057.5246759$ |
| 8.2.196288641792.6 |
$x^{8} - 3 x^{7} + 3 x^{6} + 2 x^{5} + 5 x^{4} - 16 x^{3} - 56 x^{2} - 64 x - 16$ |
$8$ |
[2,3] |
$-\,2^{8}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$25.7995360546$ |
$138.20843560308268$ |
|
|
|
$S_4\wr C_2$ (as 8T47) |
trivial |
trivial |
$2$ |
$4$ |
$3607.65635604$ |
| 8.2.196288641792.7 |
$x^{8} + 5 x^{6} - 7 x^{4} - 24 x^{2} - 12$ |
$8$ |
[2,3] |
$-\,2^{8}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$25.7995360546$ |
$77.90446732839746$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$[2]$ |
$2$ |
$4$ |
$952.528832814$ |
| 8.2.196288641792.8 |
$x^{8} - 5 x^{4} - 12$ |
$8$ |
[2,3] |
$-\,2^{8}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$25.7995360546$ |
$77.90446732839746$ |
|
|
|
$(C_4^2 : C_2):C_2$ (as 8T26) |
trivial |
$[2]$ |
$2$ |
$4$ |
$3040.74233603$ |
| 8.2.196288641792.9 |
$x^{8} + x^{6} - 13 x^{4} + 39 x^{2} - 12$ |
$8$ |
[2,3] |
$-\,2^{8}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$25.7995360546$ |
$77.90446732839746$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[2]$ |
$[2, 2]$ |
$2$ |
$4$ |
$1408.18431291$ |
| 8.4.196288641792.1 |
$x^{8} - 6 x^{6} - 12 x^{5} + 13 x^{4} + 36 x^{3} + 24 x^{2} - 24 x - 69$ |
$8$ |
[4,2] |
$2^{8}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$25.7995360546$ |
$55.086777132635675$ |
|
|
|
$(C_4^2 : C_2):C_2$ (as 8T26) |
trivial |
$[2]$ |
$2$ |
$5$ |
$971.496084254$ |
| 8.0.196288641792.1 |
$x^{8} + 5 x^{6} - x^{4} - 9 x^{2} + 12$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$25.7995360546$ |
$55.086777132635675$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$3$ |
$225.114758102$ |
| 8.0.196288641792.2 |
$x^{8} + 11 x^{4} + 12$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$25.7995360546$ |
$55.086777132635675$ |
|
|
? |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$[8]$ |
$[8]$ |
$2$ |
$3$ |
$264.447015623$ |
| 8.4.196288641792.2 |
$x^{8} - 29 x^{4} + 192$ |
$8$ |
[4,2] |
$2^{8}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$25.7995360546$ |
$55.086777132635675$ |
|
|
? |
$(C_4^2 : C_2):C_2$ (as 8T26) |
trivial |
$[2]$ |
$2$ |
$5$ |
$2580.58181239$ |
| 8.0.196288641792.3 |
$x^{8} - x^{7} - 5 x^{6} + 17 x^{5} + 6 x^{4} - 54 x^{3} + 102 x^{2} - 78 x + 36$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{3}\cdot 73^{4}$ |
$3$ |
$25.7995360546$ |
$55.086777132635675$ |
|
|
|
$(C_4^2 : C_2):C_2$ (as 8T26) |
$[8]$ |
$[8]$ |
$2$ |
$3$ |
$702.449726685$ |
