| 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 |
| 8.0.14070001.1 |
$x^{8} - x^{7} - x^{6} + x^{5} + x^{4} + x^{3} - x^{2} - x + 1$ |
$8$ |
(0, 4) |
$11^{4}\cdot 31^{2}$ |
$2$ |
$7.82594454307$ |
$18.466185312619388$ |
|
|
✓ |
$S_4\times C_2$ (as 8T24) |
trivial |
trivial |
$2$ |
$3$ |
$1.82307131825$ |
| 8.0.16471125.1 |
$x^{8} - x^{7} + 5 x^{6} - 2 x^{5} + 9 x^{4} - 2 x^{3} + 5 x^{2} - x + 1$ |
$8$ |
(0, 4) |
$3^{2}\cdot 5^{3}\cdot 11^{4}$ |
$3$ |
$7.98160824589$ |
$19.208102881010017$ |
|
|
? |
$C_4\wr C_2$ (as 8T17) |
trivial |
trivial |
$2$ |
$3$ |
$2.52193333176$ |
| 8.0.16471125.2 |
$x^{8} - x^{7} + x^{6} + 2 x^{5} - 3 x^{4} - 2 x^{3} + x^{2} + x + 1$ |
$8$ |
(0, 4) |
$3^{2}\cdot 5^{3}\cdot 11^{4}$ |
$3$ |
$7.98160824589$ |
$19.208102881010017$ |
|
|
? |
$C_4\wr C_2$ (as 8T17) |
trivial |
trivial |
$2$ |
$3$ |
$1.69679589997$ |
| 8.0.25255725.1 |
$x^{8} - x^{7} + 2 x^{6} - 4 x^{5} + 6 x^{4} - 5 x^{3} + 4 x^{2} - x + 1$ |
$8$ |
(0, 4) |
$3\cdot 5^{2}\cdot 11^{4}\cdot 23$ |
$4$ |
$8.41966825288$ |
$61.603571325045756$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$2.91397974616$ |
| 8.0.50145425.1 |
$x^{8} - 3 x^{7} + 4 x^{6} - x^{5} - 5 x^{4} + x^{3} + 4 x^{2} + 3 x + 1$ |
$8$ |
(0, 4) |
$5^{2}\cdot 11^{4}\cdot 137$ |
$3$ |
$9.17337008031$ |
$86.80437776978762$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$3.47798302643$ |
| 8.0.51609525.1 |
$x^{8} - 2 x^{6} - 3 x^{5} - x^{4} + 3 x^{3} + 7 x^{2} + 3 x + 1$ |
$8$ |
(0, 4) |
$3\cdot 5^{2}\cdot 11^{4}\cdot 47$ |
$4$ |
$9.20642951972$ |
$88.06247782114696$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$3.75637855692$ |
| 8.0.56924208.1 |
$x^{8} + 2 x^{6} + 13 x^{4} + 12 x^{2} + 3$ |
$8$ |
(0, 4) |
$2^{4}\cdot 3^{5}\cdot 11^{4}$ |
$3$ |
$9.31991871504$ |
$21.383671649138826$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
trivial |
$6$ |
$3$ |
$13.2132261924$ |
| 8.0.64786425.1 |
$x^{8} - 2 x^{7} + 5 x^{6} - 9 x^{5} + 8 x^{4} - 9 x^{3} + 7 x^{2} - 3 x + 3$ |
$8$ |
(0, 4) |
$3\cdot 5^{2}\cdot 11^{4}\cdot 59$ |
$4$ |
$9.47186505279$ |
$98.66610360199697$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$3.94222314988$ |
| 8.0.73571025.1 |
$x^{8} - 3 x^{7} + 8 x^{6} - 13 x^{5} + 17 x^{4} - 13 x^{3} + 8 x^{2} - 3 x + 1$ |
$8$ |
(0, 4) |
$3\cdot 5^{2}\cdot 11^{4}\cdot 67$ |
$4$ |
$9.62361744728$ |
$105.14276009312292$ |
|
|
✓ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$4.1991306972$ |
| 8.0.77963325.2 |
$x^{8} - 2 x^{7} + x^{6} - 3 x^{5} + x^{4} + 2 x^{3} + 5 x^{2} + 3 x + 1$ |
$8$ |
(0, 4) |
$3\cdot 5^{2}\cdot 11^{4}\cdot 71$ |
$4$ |
$9.69362676684$ |
$108.23585357911675$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$7.82034691466$ |
| 8.0.93702400.1 |
$x^{8} - x^{6} + x^{4} + x^{2} + 1$ |
$8$ |
(0, 4) |
$2^{8}\cdot 5^{2}\cdot 11^{4}$ |
$3$ |
$9.91902167605$ |
$24.94501889043506$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
trivial |
$2$ |
$3$ |
$6.45636202239$ |
| 8.0.96996625.1 |
$x^{8} - 3 x^{7} + 5 x^{5} + x^{4} - 5 x^{3} + 3 x + 1$ |
$8$ |
(0, 4) |
$5^{3}\cdot 11^{4}\cdot 53$ |
$3$ |
$9.9619550526$ |
$80.7349871766379$ |
|
|
✓ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$7.48950193634$ |
| 8.0.106308301.1 |
$x^{8} - 2 x^{7} - x^{6} + 7 x^{5} - 5 x^{4} - 4 x^{3} + 10 x^{2} - 8 x + 3$ |
$8$ |
(0, 4) |
$11^{4}\cdot 53\cdot 137$ |
$3$ |
$10.076759586$ |
$282.6145785340877$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
trivial |
trivial |
$2$ |
$3$ |
$8.41272200975$ |
| 8.0.116029925.1 |
$x^{8} - 2 x^{7} - 2 x^{6} + 5 x^{5} + 5 x^{4} - 5 x^{3} - 2 x^{2} + 2 x + 1$ |
$8$ |
(0, 4) |
$5^{2}\cdot 11^{4}\cdot 317$ |
$3$ |
$10.1875851442$ |
$132.0416600925632$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$7.83914279745$ |
| 8.0.142383725.1 |
$x^{8} - 2 x^{7} + 5 x^{6} - 2 x^{5} + x^{4} + 5 x^{3} - x^{2} - x + 3$ |
$8$ |
(0, 4) |
$5^{2}\cdot 11^{4}\cdot 389$ |
$3$ |
$10.4515943114$ |
$146.27029773675858$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$13.4556454417$ |
| 8.0.145311925.1 |
$x^{8} - x^{7} - x^{6} - x^{5} + x^{4} + 3 x^{2} + 4 x + 3$ |
$8$ |
(0, 4) |
$5^{2}\cdot 11^{4}\cdot 397$ |
$3$ |
$10.4782234835$ |
$147.76670802315385$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$10.4046969852$ |
| 8.0.182675757.1 |
$x^{8} - x^{7} + 4 x^{6} - 5 x^{5} + 7 x^{4} - 10 x^{3} + 8 x^{2} - 6 x + 3$ |
$8$ |
(0, 4) |
$3\cdot 11^{4}\cdot 4159$ |
$3$ |
$10.7822678058$ |
$370.4686221530779$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
trivial |
trivial |
$2$ |
$3$ |
$7.57432348448$ |
| 8.0.186189597.1 |
$x^{8} - 4 x^{7} + 9 x^{6} - 13 x^{5} + 11 x^{4} - 5 x^{3} - 5 x^{2} + 6 x + 4$ |
$8$ |
(0, 4) |
$3^{4}\cdot 11^{4}\cdot 157$ |
$3$ |
$10.8079773653$ |
$71.97916365171243$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
trivial |
$6$ |
$3$ |
$23.6450283449$ |
| 8.0.200420649.1 |
$x^{8} - x^{7} + 8 x^{6} - 5 x^{5} + 31 x^{4} + 15 x^{3} + 72 x^{2} + 27 x + 81$ |
$8$ |
(0, 4) |
$3^{4}\cdot 11^{4}\cdot 13^{2}$ |
$3$ |
$10.9079416982$ |
$20.71231517720798$ |
|
|
? |
$D_4\times C_2$ (as 8T9) |
trivial |
trivial |
$6$ |
$3$ |
$15.1709755517$ |
| 8.0.216467185.1 |
$x^{8} - x^{7} + 2 x^{6} - 4 x^{5} + 4 x^{4} - 4 x^{3} + 5 x^{2} - 2 x + 4$ |
$8$ |
(0, 4) |
$5\cdot 11^{4}\cdot 2957$ |
$3$ |
$11.0134658295$ |
$403.28029954363006$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
trivial |
trivial |
$2$ |
$3$ |
$14.8953745038$ |
| 8.0.218106977.1 |
$x^{8} - 2 x^{7} + 2 x^{6} - x^{5} + 4 x^{4} - 12 x^{3} + 17 x^{2} - 11 x + 3$ |
$8$ |
(0, 4) |
$11^{4}\cdot 14897$ |
$2$ |
$11.0238601427$ |
$404.8048912747967$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
trivial |
trivial |
$2$ |
$3$ |
$11.2562967047$ |
| 8.0.218516925.2 |
$x^{8} - 6 x^{6} - 3 x^{5} + 8 x^{4} + 9 x^{3} + 8 x^{2} + 7 x + 3$ |
$8$ |
(0, 4) |
$3\cdot 5^{2}\cdot 11^{4}\cdot 199$ |
$4$ |
$11.0264480342$ |
$181.20430458463176$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$16.5784440135$ |
| 8.0.219688205.1 |
$x^{8} - 3 x^{6} - 3 x^{5} + 7 x^{4} - x^{3} + 2 x^{2} - 3 x + 1$ |
$8$ |
(0, 4) |
$5\cdot 11^{4}\cdot 3001$ |
$3$ |
$11.0338186719$ |
$406.2696149110834$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
trivial |
trivial |
$2$ |
$3$ |
$9.19424071523$ |
| 8.0.219746769.1 |
$x^{8} - 3 x^{7} + 7 x^{6} - 10 x^{5} + 13 x^{4} - 12 x^{3} + 11 x^{2} - 8 x + 4$ |
$8$ |
(0, 4) |
$3\cdot 11^{4}\cdot 5003$ |
$3$ |
$11.0341863004$ |
$406.3237625342628$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
trivial |
trivial |
$2$ |
$3$ |
$12.2125440049$ |
| 8.0.222792097.1 |
$x^{8} - 2 x^{7} + 5 x^{6} - 8 x^{5} + 11 x^{4} - 11 x^{3} + 10 x^{2} - 6 x + 5$ |
$8$ |
(0, 4) |
$11^{4}\cdot 15217$ |
$2$ |
$11.053185857$ |
$409.1295638303348$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
trivial |
trivial |
$2$ |
$3$ |
$9.65972613336$ |
| 8.0.225837425.1 |
$x^{8} - x^{7} + 6 x^{6} - 7 x^{5} + 17 x^{4} - 17 x^{3} + 18 x^{2} - 11 x + 3$ |
$8$ |
(0, 4) |
$5^{2}\cdot 11^{4}\cdot 617$ |
$3$ |
$11.0719595166$ |
$184.21454882826166$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$11.71462226$ |
| 8.0.227301525.1 |
$x^{8} - x^{6} - 7 x^{5} + 4 x^{4} - 2 x^{3} + 9 x^{2} + 2 x + 3$ |
$8$ |
(0, 4) |
$3^{3}\cdot 5^{2}\cdot 11^{4}\cdot 23$ |
$4$ |
$11.0809065853$ |
$61.603571325045756$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$13.9768402986$ |
| 8.0.227696832.1 |
$x^{8} - 5 x^{6} + 7 x^{4} - 6 x^{2} + 12$ |
$8$ |
(0, 4) |
$2^{6}\cdot 3^{5}\cdot 11^{4}$ |
$3$ |
$11.0833136472$ |
$30.241078459545175$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
trivial |
$6$ |
$3$ |
$48.2521612132$ |
| 8.0.233743565.1 |
$x^{8} - x^{7} + x^{6} + x^{5} - x^{4} + x^{3} + 2 x^{2} + 1$ |
$8$ |
(0, 4) |
$5\cdot 11^{4}\cdot 31\cdot 103$ |
$4$ |
$11.1196843157$ |
$419.0644341864387$ |
|
|
✓ |
$S_4\wr C_2$ (as 8T47) |
trivial |
trivial |
$2$ |
$3$ |
$9.44510112679$ |
| 8.0.241298321.1 |
$x^{8} - 2 x^{7} - x^{6} + 5 x^{5} - 6 x^{4} + x^{3} + 9 x^{2} - 6 x + 4$ |
$8$ |
(0, 4) |
$11^{4}\cdot 16481$ |
$2$ |
$11.1639861106$ |
$425.7828084833863$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
trivial |
trivial |
$2$ |
$3$ |
$8.33395702514$ |
| 8.0.241942525.1 |
$x^{8} - 3 x^{7} + 4 x^{6} - x^{5} + x^{4} - 8 x^{3} + 12 x^{2} - 10 x + 5$ |
$8$ |
(0, 4) |
$5^{2}\cdot 11^{4}\cdot 661$ |
$3$ |
$11.1677073851$ |
$190.66987176793296$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$9.15576872236$ |
| 8.0.244870725.1 |
$x^{8} - x^{7} + 6 x^{5} - 2 x^{4} - 3 x^{3} + 6 x^{2} + x + 1$ |
$8$ |
(0, 4) |
$3\cdot 5^{2}\cdot 11^{4}\cdot 223$ |
$4$ |
$11.184513766$ |
$191.82022833893197$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$8.76872269824$ |
| 8.2.267330019.1 |
$x^{8} - 2 x^{6} - x^{5} + 7 x^{4} + x^{3} - 3 x^{2} - 3 x - 2$ |
$8$ |
(2, 3) |
$-\,11^{4}\cdot 19\cdot 31^{2}$ |
$3$ |
$11.3078741436$ |
$80.49223565040295$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$4$ |
$29.1950880313$ |
| 8.0.275616825.1 |
$x^{8} - 2 x^{7} + 4 x^{6} - 4 x^{5} + x^{4} - 2 x^{3} + x^{2} - 3 x + 9$ |
$8$ |
(0, 4) |
$3\cdot 5^{2}\cdot 11^{4}\cdot 251$ |
$4$ |
$11.351106952$ |
$203.50675664458907$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$12.7414698246$ |
| 8.0.277080925.1 |
$x^{8} - x^{7} + 4 x^{6} - 6 x^{5} + 6 x^{4} - 7 x^{3} + 7 x^{2} + 5$ |
$8$ |
(0, 4) |
$5^{2}\cdot 11^{4}\cdot 757$ |
$3$ |
$11.3586267487$ |
$204.04656331337708$ |
|
|
|
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$9.25117692354$ |
| 8.0.281107200.2 |
$x^{8} - 2 x^{6} + 2 x^{4} - x^{2} + 3$ |
$8$ |
(0, 4) |
$2^{8}\cdot 3\cdot 5^{2}\cdot 11^{4}$ |
$4$ |
$11.3791283533$ |
$47.11652084216115$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$16.580590713$ |
| 8.0.281107200.3 |
$x^{8} + 2 x^{6} + 2 x^{4} + x^{2} + 3$ |
$8$ |
(0, 4) |
$2^{8}\cdot 3\cdot 5^{2}\cdot 11^{4}$ |
$4$ |
$11.3791283533$ |
$47.11652084216115$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$9.30101570342$ |
| 8.0.291721925.1 |
$x^{8} - 2 x^{7} + 5 x^{6} - 10 x^{5} + 24 x^{4} - 37 x^{3} + 37 x^{2} - 20 x + 5$ |
$8$ |
(0, 4) |
$5^{2}\cdot 11^{4}\cdot 797$ |
$3$ |
$11.4319715198$ |
$209.3680969011277$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$16.7328880009$ |
| 8.0.299847680.1 |
$x^{8} - 2 x^{6} + 15 x^{4} - 14 x^{2} + 5$ |
$8$ |
(0, 4) |
$2^{12}\cdot 5\cdot 11^{4}$ |
$3$ |
$11.4712986513$ |
$24.94501889043506$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
trivial |
$4$ |
$3$ |
$25.1895208279$ |
| 8.0.303595776.2 |
$x^{8} - 4 x^{7} + 9 x^{6} - 12 x^{5} + 14 x^{4} - 18 x^{3} + 20 x^{2} - 12 x + 3$ |
$8$ |
(0, 4) |
$2^{8}\cdot 3^{4}\cdot 11^{4}$ |
$3$ |
$11.4891252931$ |
$21.383671649138826$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
trivial |
$2$ |
$3$ |
$15.9618251052$ |
| 8.0.307827025.1 |
$x^{8} - x^{7} + 3 x^{6} - 8 x^{5} + 9 x^{4} - 8 x^{3} + 16 x^{2} - 20 x + 9$ |
$8$ |
(0, 4) |
$5^{2}\cdot 11^{4}\cdot 29^{2}$ |
$3$ |
$11.5090199568$ |
$39.93745109543172$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
trivial |
$2$ |
$3$ |
$12.1412815954$ |
| 8.0.313903040.1 |
$x^{8} - x^{7} - 3 x^{6} + 3 x^{5} - x^{3} + 5 x^{2} + 1$ |
$8$ |
(0, 4) |
$2^{6}\cdot 5\cdot 11^{4}\cdot 67$ |
$4$ |
$11.5371739372$ |
$242.81680337241903$ |
|
|
✓ |
$S_4\wr C_2$ (as 8T47) |
trivial |
trivial |
$2$ |
$3$ |
$16.034787747$ |
| 8.0.319539825.1 |
$x^{8} - 4 x^{6} - 4 x^{5} + 6 x^{4} + 8 x^{3} + 11 x^{2} - 4 x + 1$ |
$8$ |
(0, 4) |
$3^{2}\cdot 5^{2}\cdot 11^{4}\cdot 97$ |
$4$ |
$11.5628694989$ |
$126.51086909827156$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$16.0256181389$ |
| 8.0.319539825.2 |
$x^{8} - 4 x^{7} + 4 x^{6} + 2 x^{5} - 3 x^{4} - 2 x^{3} + x^{2} + x + 3$ |
$8$ |
(0, 4) |
$3^{2}\cdot 5^{2}\cdot 11^{4}\cdot 97$ |
$4$ |
$11.5628694989$ |
$126.51086909827156$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$13.059985686$ |
| 8.0.322468025.2 |
$x^{8} - 2 x^{7} + 5 x^{6} - 4 x^{5} + 13 x^{4} - 20 x^{3} + 7 x^{2} + 1$ |
$8$ |
(0, 4) |
$5^{2}\cdot 11^{4}\cdot 881$ |
$3$ |
$11.576061682$ |
$220.12496450879897$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$6.96593360755$ |
| 8.0.323932125.1 |
$x^{8} - 2 x^{7} + 2 x^{5} - 3 x^{4} - x^{3} + 3 x + 9$ |
$8$ |
(0, 4) |
$3\cdot 5^{3}\cdot 11^{4}\cdot 59$ |
$4$ |
$11.5826185107$ |
$147.54023776909284$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$20.1991470173$ |
| 8.0.336406257.1 |
$x^{8} - 3 x^{7} + 5 x^{6} - 4 x^{5} + 7 x^{4} - 7 x^{3} + 4 x^{2} - 2 x + 3$ |
$8$ |
(0, 4) |
$3^{3}\cdot 11^{4}\cdot 23\cdot 37$ |
$4$ |
$11.6374548247$ |
$348.5800970348549$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
trivial |
trivial |
$2$ |
$3$ |
$22.2660633432$ |
| 8.0.338265664.1 |
$x^{8} - 3 x^{7} + 6 x^{6} - 9 x^{5} + 16 x^{4} - 5 x^{3} + 6 x^{2} + x + 3$ |
$8$ |
(0, 4) |
$2^{6}\cdot 11^{4}\cdot 19^{2}$ |
$3$ |
$11.6454758626$ |
$40.890096600521744$ |
|
|
|
$S_4\times C_2$ (as 8T24) |
trivial |
trivial |
$2$ |
$3$ |
$21.4248237848$ |
| 8.0.340037225.1 |
$x^{8} - x^{7} + 4 x^{6} + 3 x^{5} + 3 x^{4} + 5 x^{3} + 6 x^{2} + x + 3$ |
$8$ |
(0, 4) |
$5^{2}\cdot 11^{4}\cdot 929$ |
$3$ |
$11.6530821454$ |
$226.04203148972096$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$14.8562885651$ |
| 8.0.341501325.2 |
$x^{8} - 3 x^{7} + 5 x^{6} - 8 x^{5} + 18 x^{3} - 6 x^{2} - 7 x + 3$ |
$8$ |
(0, 4) |
$3\cdot 5^{2}\cdot 11^{4}\cdot 311$ |
$4$ |
$11.6593422044$ |
$226.5281439468394$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
trivial |
$2$ |
$3$ |
$21.3468507189$ |
