| 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 |
| 8.2.475791360.1 |
$x^{8} - 4 x^{5} - 4 x^{4} - 4 x^{3} + 1$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 3\cdot 5\cdot 11^{2}$ |
$4$ |
$12.1528200969$ |
$64.73591566662239$ |
|
|
✓ |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$4$ |
$32.4503621733$ |
| 8.2.729546752.1 |
$x^{8} + 4 x^{6} - 4 x^{5} + 14 x^{4} - 20 x^{3} + 16 x^{2} - 16 x + 6$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 11^{2}\cdot 23$ |
$3$ |
$12.8198115468$ |
$80.16108443856827$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$4$ |
$46.115614329$ |
| 8.2.983302144.1 |
$x^{8} - 4 x^{7} + 4 x^{6} + 2 x^{4} - 4 x^{3} - 8 x^{2} + 8 x - 2$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 11^{2}\cdot 31$ |
$3$ |
$13.307175154$ |
$93.06374234651483$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$4$ |
$54.2543621191$ |
| 8.2.1744568320.1 |
$x^{8} - 4 x^{6} - 8 x^{5} + 20 x^{3} + 28 x^{2} + 20 x + 5$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 5\cdot 11^{3}$ |
$3$ |
$14.2958834131$ |
$68.06640903889887$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$4$ |
$48.3981188033$ |
| 8.2.2252079104.1 |
$x^{8} - 4 x^{7} + 8 x^{5} + 12 x^{4} - 16 x^{2} - 16 x - 8$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 11^{2}\cdot 71$ |
$3$ |
$14.7595445122$ |
$140.84091573614046$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$4$ |
$51.0755845182$ |
| 8.2.2505834496.1 |
$x^{8} - 4 x^{6} - 4 x^{5} + 8 x^{4} + 12 x^{3} - 4 x^{2} - 16 x - 3$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 11^{2}\cdot 79$ |
$3$ |
$14.9578456679$ |
$148.56387254836164$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$4$ |
$123.553238288$ |
| 8.4.2569273344.2 |
$x^{8} - 4 x^{7} + 4 x^{6} - 16 x^{4} + 32 x^{3} - 12 x^{2} - 36 x + 37$ |
$8$ |
[4,2] |
$2^{18}\cdot 3^{4}\cdot 11^{2}$ |
$3$ |
$15.0046644905$ |
$28.950781603252256$ |
|
|
? |
$S_4\times C_2$ (as 8T24) |
trivial |
$[2]$ |
$2$ |
$5$ |
$101.932800819$ |
| 8.2.2759589888.1 |
$x^{8} - 4 x^{6} - 4 x^{5} + 6 x^{4} + 4 x^{3} - 8 x^{2} - 8 x - 2$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 3\cdot 11^{2}\cdot 29$ |
$4$ |
$15.1392920896$ |
$155.90473022887107$ |
|
|
✓ |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$4$ |
$92.2808235959$ |
| 8.0.3076784128.3 |
$x^{8} - 4 x^{7} + 8 x^{6} - 8 x^{5} - 6 x^{4} + 28 x^{3} - 72 x + 62$ |
$8$ |
[0,4] |
$2^{18}\cdot 11^{2}\cdot 97$ |
$3$ |
$15.3465983985$ |
$164.62111273831525$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
$[2]$ |
$[2]$ |
$2$ |
$3$ |
$19.1569574638$ |
| 8.2.3267100672.3 |
$x^{8} - 4 x^{6} - 12 x^{5} - 18 x^{4} - 20 x^{3} - 16 x^{2} - 8 x - 2$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 11^{2}\cdot 103$ |
$3$ |
$15.4621653993$ |
$169.6360995486501$ |
|
|
✓ |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$4$ |
$49.5244816788$ |
| 8.2.3267100672.4 |
$x^{8} - 4 x^{6} - 4 x^{5} + 22 x^{4} + 28 x^{3} - 40 x^{2} + 22$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 11^{2}\cdot 103$ |
$3$ |
$15.4621653993$ |
$169.6360995486501$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$4$ |
$87.7974067473$ |
| 8.4.3584294912.1 |
$x^{8} - 4 x^{7} + 8 x^{5} + 10 x^{4} - 4 x^{3} - 24 x^{2} - 16 x - 2$ |
$8$ |
[4,2] |
$2^{18}\cdot 11^{2}\cdot 113$ |
$3$ |
$15.6422948172$ |
$177.68013991874147$ |
|
|
✓ |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$5$ |
$96.1265431698$ |
| 8.4.3588489216.1 |
$x^{8} - 4 x^{7} + 8 x^{5} - 6 x^{4} - 4 x^{3} + 8 x^{2} - 2$ |
$8$ |
[4,2] |
$2^{18}\cdot 3^{4}\cdot 13^{2}$ |
$3$ |
$15.6445817027$ |
$48.26061501736134$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$[2]$ |
$2$ |
$5$ |
$98.1500735343$ |
| 8.4.3838050304.1 |
$x^{8} - 4 x^{7} + 4 x^{6} - 6 x^{4} + 12 x^{3} - 2$ |
$8$ |
[4,2] |
$2^{18}\cdot 11^{4}$ |
$2$ |
$15.7766151939$ |
$16.714741551887755$ |
|
|
? |
$S_4\times C_2$ (as 8T24) |
trivial |
$[2]$ |
$2$ |
$5$ |
$128.220375542$ |
| 8.0.4091805696.1 |
$x^{8} + 4 x^{6} - 4 x^{5} + 8 x^{4} + 20 x^{3} - 4 x^{2} - 8 x + 5$ |
$8$ |
[0,4] |
$2^{18}\cdot 3\cdot 11^{2}\cdot 43$ |
$4$ |
$15.9033777696$ |
$189.84297059381998$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
$[2]$ |
$[2]$ |
$2$ |
$3$ |
$42.2967376553$ |
| 8.4.4091805696.1 |
$x^{8} - 4 x^{7} + 8 x^{5} + 2 x^{4} + 20 x^{3} - 56 x^{2} + 48 x - 10$ |
$8$ |
[4,2] |
$2^{18}\cdot 3\cdot 11^{2}\cdot 43$ |
$4$ |
$15.9033777696$ |
$189.84297059381998$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$5$ |
$160.407953195$ |
| 8.4.4345561088.1 |
$x^{8} - 8 x^{6} - 8 x^{5} + 4 x^{4} + 12 x^{3} + 24 x^{2} + 20 x + 1$ |
$8$ |
[4,2] |
$2^{18}\cdot 11^{2}\cdot 137$ |
$3$ |
$16.0234390388$ |
$195.64103395008223$ |
|
|
✓ |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$5$ |
$130.980192437$ |
| 8.0.4599316480.1 |
$x^{8} - 4 x^{7} + 12 x^{6} - 20 x^{5} + 22 x^{4} - 4 x^{3} + 12 x^{2} - 20 x + 37$ |
$8$ |
[0,4] |
$2^{18}\cdot 5\cdot 11^{2}\cdot 29$ |
$4$ |
$16.1375151061$ |
$201.27214125712592$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
$[2]$ |
$[2]$ |
$2$ |
$3$ |
$55.679091258$ |
| 8.2.5804654592.2 |
$x^{8} - 4 x^{7} + 4 x^{6} - 8 x^{5} + 2 x^{4} - 4 x^{3} + 8 x^{2} - 2$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 3\cdot 11^{2}\cdot 61$ |
$4$ |
$16.6139174311$ |
$226.11283263404528$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$4$ |
$88.4702835001$ |
| 8.4.5868093440.1 |
$x^{8} - 4 x^{7} + 8 x^{6} - 8 x^{5} - 12 x^{4} + 8 x^{3} + 8 x^{2} + 4 x + 1$ |
$8$ |
[4,2] |
$2^{18}\cdot 5\cdot 11^{2}\cdot 37$ |
$4$ |
$16.6365062531$ |
$227.3450642791362$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$5$ |
$228.208400197$ |
| 8.2.7073431552.1 |
$x^{8} - 6 x^{4} - 4 x^{3} + 8 x^{2} - 24 x - 2$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 11^{2}\cdot 223$ |
$3$ |
$17.0295734246$ |
$249.60431984973314$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$4$ |
$131.541782389$ |
| 8.4.7390625792.1 |
$x^{8} - 4 x^{7} + 4 x^{6} - 4 x^{5} - 8 x^{4} + 8 x^{3} + 20 x^{2} + 32 x + 5$ |
$8$ |
[4,2] |
$2^{18}\cdot 11^{2}\cdot 233$ |
$3$ |
$17.1232087674$ |
$255.13945664893137$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$5$ |
$296.851163038$ |
| 8.2.7453016064.1 |
$x^{8} - 4 x^{7} + 4 x^{6} - 4 x^{5} + 16 x^{4} - 16 x^{3} + 4 x^{2} - 16 x - 11$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 3^{7}\cdot 13$ |
$3$ |
$17.141211247$ |
$67.49472487572311$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
trivial |
$[2]$ |
$2$ |
$4$ |
$189.006807827$ |
| 8.2.7580942336.1 |
$x^{8} - 8 x^{5} + 34 x^{4} - 60 x^{3} + 56 x^{2} - 32 x + 6$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 11^{2}\cdot 239$ |
$3$ |
$17.1777152445$ |
$258.40363358511496$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$4$ |
$221.147527534$ |
| 8.2.7580942336.2 |
$x^{8} + 4 x^{6} - 8 x^{5} - 6 x^{4} + 36 x^{3} - 72 x^{2} + 64 x - 18$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 11^{2}\cdot 239$ |
$3$ |
$17.1777152445$ |
$258.40363358511496$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$4$ |
$213.629619388$ |
| 8.4.7644381184.1 |
$x^{8} - 4 x^{6} - 12 x^{5} - 8 x^{4} - 4 x^{3} - 20 x^{2} - 16 x - 3$ |
$8$ |
[4,2] |
$2^{18}\cdot 11^{2}\cdot 241$ |
$3$ |
$17.1956181243$ |
$259.4825678543419$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$5$ |
$251.042421538$ |
| 8.4.7644381184.2 |
$x^{8} - 8 x^{6} - 4 x^{5} + 12 x^{4} + 4 x^{3} - 8 x^{2} + 1$ |
$8$ |
[4,2] |
$2^{18}\cdot 11^{2}\cdot 241$ |
$3$ |
$17.1956181243$ |
$259.4825678543419$ |
|
|
✓ |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$5$ |
$123.432881092$ |
| 8.4.7665352704.2 |
$x^{8} - 4 x^{7} + 4 x^{4} + 4 x + 1$ |
$8$ |
[4,2] |
$2^{18}\cdot 3^{4}\cdot 19^{2}$ |
$3$ |
$17.201507845$ |
$38.04878131287516$ |
|
|
? |
$S_4\times C_2$ (as 8T24) |
trivial |
$[2]$ |
$2$ |
$5$ |
$263.474928402$ |
| 8.4.8344829952.3 |
$x^{8} - 8 x^{6} - 8 x^{5} + 20 x^{4} + 32 x^{3} - 16 x - 8$ |
$8$ |
[4,2] |
$2^{18}\cdot 3^{5}\cdot 131$ |
$3$ |
$17.3850997314$ |
$131.48612061694735$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
trivial |
$[2]$ |
$2$ |
$5$ |
$221.425681112$ |
| 8.0.9420668928.4 |
$x^{8} - 4 x^{7} + 12 x^{6} - 16 x^{5} + 24 x^{4} - 16 x^{3} + 36 x^{2} - 12 x + 29$ |
$8$ |
[0,4] |
$2^{18}\cdot 3^{3}\cdot 11^{3}$ |
$3$ |
$17.6506302651$ |
$52.724013728759466$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
$[2]$ |
$[2]$ |
$2$ |
$3$ |
$89.3967822658$ |
| 8.4.9674424320.1 |
$x^{8} - 4 x^{7} + 8 x^{6} - 20 x^{4} + 8 x^{2} + 4 x + 1$ |
$8$ |
[4,2] |
$2^{18}\cdot 5\cdot 11^{2}\cdot 61$ |
$4$ |
$17.709371213$ |
$291.91041171848076$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$5$ |
$171.047986829$ |
| 8.2.10118496256.2 |
$x^{8} - 4 x^{6} - 8 x^{5} + 10 x^{4} - 4 x^{3} - 16 x^{2} - 2$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 11^{3}\cdot 29$ |
$3$ |
$17.8089984829$ |
$163.92562041613272$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$4$ |
$112.666929776$ |
| 8.0.10173546496.1 |
$x^{8} - 4 x^{5} + 4 x^{4} + 4 x^{3} + 1$ |
$8$ |
[0,4] |
$2^{18}\cdot 197^{2}$ |
$2$ |
$17.8210811081$ |
$70.73533852187154$ |
|
|
? |
$C_2^3:S_4$ (as 8T39) |
$[2]$ |
$[2]$ |
$2$ |
$3$ |
$101.25951028$ |
| 8.4.10173546496.1 |
$x^{8} - 8 x^{6} - 20 x^{4} + 4$ |
$8$ |
[4,2] |
$2^{18}\cdot 197^{2}$ |
$2$ |
$17.8210811081$ |
$70.73533852187154$ |
|
|
? |
$C_2^3:S_4$ (as 8T39) |
trivial |
$[2]$ |
$2$ |
$5$ |
$176.977224939$ |
| 8.2.10321920000.1 |
$x^{8} - 4 x^{7} + 4 x^{5} + 2 x^{4} - 12 x^{3} + 40 x^{2} - 20 x + 5$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 3^{2}\cdot 5^{4}\cdot 7$ |
$4$ |
$17.8533640611$ |
$67.5294128204847$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$4$ |
$150.247467309$ |
| 8.2.10372251648.1 |
$x^{8} - 4 x^{7} + 12 x^{6} - 20 x^{5} + 24 x^{4} - 24 x^{3} + 28 x^{2} - 24 x - 3$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 3\cdot 11^{2}\cdot 109$ |
$4$ |
$17.864222967$ |
$302.25503361048237$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$4$ |
$184.974084806$ |
| 8.2.10372251648.2 |
$x^{8} - 4 x^{7} + 12 x^{6} - 12 x^{5} - 2 x^{4} + 28 x^{3} - 32 x^{2} + 8 x - 2$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 3\cdot 11^{2}\cdot 109$ |
$4$ |
$17.864222967$ |
$302.25503361048237$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$4$ |
$152.168037533$ |
| 8.0.10590879744.1 |
$x^{8} - 4 x^{7} + 8 x^{6} - 8 x^{5} + 12 x^{4} - 8 x^{3} + 8 x^{2} - 4 x + 1$ |
$8$ |
[0,4] |
$2^{18}\cdot 3^{2}\cdot 67^{2}$ |
$3$ |
$17.9108626954$ |
$71.44985502525341$ |
|
|
? |
$C_2^3:S_4$ (as 8T39) |
$[2]$ |
$[2]$ |
$2$ |
$3$ |
$75.6675956279$ |
| 8.2.11641028608.1 |
$x^{8} - 4 x^{7} + 12 x^{6} - 8 x^{4} + 16 x^{3} + 12 x^{2} - 4 x - 3$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 11^{2}\cdot 367$ |
$3$ |
$18.1237857513$ |
$320.2083833205026$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$4$ |
$219.244901977$ |
| 8.2.12148539392.1 |
$x^{8} - 4 x^{7} + 8 x^{6} - 8 x^{5} - 14 x^{4} + 36 x^{3} - 24 x^{2} + 24 x - 10$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 11^{2}\cdot 383$ |
$3$ |
$18.2207189075$ |
$327.1139405636397$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$4$ |
$281.488653644$ |
| 8.2.13163560960.1 |
$x^{8} - 4 x^{7} + 8 x^{6} + 2 x^{4} + 12 x^{3} + 16 x - 2$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 5\cdot 11^{2}\cdot 83$ |
$4$ |
$18.4044004238$ |
$340.5051729941225$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$4$ |
$277.153961169$ |
| 8.2.13163560960.2 |
$x^{8} - 4 x^{7} + 8 x^{6} + 12 x^{5} - 50 x^{4} + 84 x^{3} - 88 x^{2} + 52 x - 23$ |
$8$ |
[2,3] |
$-\,2^{18}\cdot 5\cdot 11^{2}\cdot 83$ |
$4$ |
$18.4044004238$ |
$340.5051729941225$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$4$ |
$129.80418775$ |
| 8.4.13271040000.4 |
$x^{8} + 4 x^{6} + 10 x^{4} - 36 x^{2} + 9$ |
$8$ |
[4,2] |
$2^{18}\cdot 3^{4}\cdot 5^{4}$ |
$3$ |
$18.4231174064$ |
$25.523718929317052$ |
|
|
? |
$S_4\times C_2$ (as 8T24) |
trivial |
$[2]$ |
$2$ |
$5$ |
$348.394041572$ |
| 8.4.15003287552.1 |
$x^{8} - 8 x^{6} - 16 x^{5} + 4 x^{4} + 60 x^{3} + 80 x^{2} + 44 x + 9$ |
$8$ |
[4,2] |
$2^{18}\cdot 11^{3}\cdot 43$ |
$3$ |
$18.7078252336$ |
$199.6098943922269$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$5$ |
$347.209228026$ |
| 8.4.17033330688.1 |
$x^{8} - 4 x^{6} - 4 x^{5} - 32 x^{4} + 20 x^{3} - 12 x^{2} + 56 x + 29$ |
$8$ |
[4,2] |
$2^{18}\cdot 3\cdot 11^{2}\cdot 179$ |
$4$ |
$19.0069506561$ |
$387.33505937833525$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$5$ |
$345.67652805$ |
| 8.4.18302107648.1 |
$x^{8} - 16 x^{6} - 4 x^{5} + 84 x^{4} + 20 x^{3} - 136 x^{2} + 40 x + 1$ |
$8$ |
[4,2] |
$2^{18}\cdot 11^{2}\cdot 577$ |
$3$ |
$19.1784117377$ |
$401.5018700198974$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$5$ |
$271.651527437$ |
| 8.0.19824640000.7 |
$x^{8} - 4 x^{7} + 20 x^{6} - 40 x^{5} + 96 x^{4} - 96 x^{3} + 164 x^{2} - 44 x + 69$ |
$8$ |
[0,4] |
$2^{18}\cdot 5^{4}\cdot 11^{2}$ |
$3$ |
$19.3709385623$ |
$37.375298336361354$ |
|
|
? |
$S_4\times C_2$ (as 8T24) |
$[2]$ |
$[2]$ |
$2$ |
$3$ |
$107.928068017$ |
| 8.4.20078395392.1 |
$x^{8} - 8 x^{6} - 4 x^{5} + 14 x^{4} - 12 x^{3} - 48 x^{2} - 24 x - 2$ |
$8$ |
[4,2] |
$2^{18}\cdot 3\cdot 11^{2}\cdot 211$ |
$4$ |
$19.4017598763$ |
$420.5343938344082$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$5$ |
$278.707793282$ |
| 8.4.20585906176.1 |
$x^{8} - 4 x^{7} + 8 x^{5} + 42 x^{4} - 132 x^{3} + 80 x^{2} + 56 x - 50$ |
$8$ |
[4,2] |
$2^{18}\cdot 11^{3}\cdot 59$ |
$3$ |
$19.4623934798$ |
$233.81579344757316$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$5$ |
$316.589192787$ |
| 8.4.21347172352.2 |
$x^{8} - 12 x^{6} - 4 x^{5} + 8 x^{4} + 28 x^{3} + 28 x^{2} + 8 x + 5$ |
$8$ |
[4,2] |
$2^{18}\cdot 11^{2}\cdot 673$ |
$3$ |
$19.5509355727$ |
$433.6178960830944$ |
|
|
? |
$C_2 \wr S_4$ (as 8T44) |
trivial |
$[2]$ |
$2$ |
$5$ |
$343.023842021$ |
