| 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 |
| 8.0.55115776.1 |
$x^{8} + 2 x^{6} - 4 x^{5} + x^{4} - 4 x^{3} + 4 x^{2} + 1$ |
$8$ |
[0,4] |
$2^{16}\cdot 29^{2}$ |
$2$ |
$9.28238314842$ |
$53.395786483920865$ |
|
|
✓ |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$4$ |
$3$ |
$6.70424542459$ |
| 8.0.81721600.1 |
$x^{8} - 2 x^{7} + 3 x^{6} - 2 x^{5} + x^{4} + x^{2} + 2 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 5^{2}\cdot 113^{2}$ |
$3$ |
$9.75084173762$ |
$104.52831753774814$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$4$ |
$3$ |
$9.23438372092$ |
| 8.4.118810000.1 |
$x^{8} - x^{7} - 4 x^{6} + 4 x^{5} + 7 x^{4} - 8 x^{3} - 4 x^{2} + 5 x - 1$ |
$8$ |
[4,2] |
$2^{4}\cdot 5^{4}\cdot 109^{2}$ |
$3$ |
$10.2177818086$ |
$102.04678571447675$ |
|
|
✓ |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$2$ |
$5$ |
$9.38471148583$ |
| 8.0.129413376.1 |
$x^{8} - 2 x^{7} + 5 x^{6} - 12 x^{5} + 18 x^{4} - 16 x^{3} + 10 x^{2} - 6 x + 3$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 79^{2}$ |
$3$ |
$10.3275521305$ |
$51.78174305930024$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$6$ |
$3$ |
$17.7726708099$ |
| 8.4.144769024.1 |
$x^{8} - 3 x^{4} - 2 x^{2} - 4 x - 1$ |
$8$ |
[4,2] |
$2^{16}\cdot 47^{2}$ |
$2$ |
$10.4733219948$ |
$61.951153271403776$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$2$ |
$5$ |
$10.5287236902$ |
| 8.0.156725361.2 |
$x^{8} - 3 x^{7} - 2 x^{6} + 11 x^{5} - 14 x^{3} + 11 x^{2} - 4 x + 1$ |
$8$ |
[0,4] |
$3^{4}\cdot 13^{2}\cdot 107^{2}$ |
$3$ |
$10.577728357$ |
$64.59876159803684$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
$[2]$ |
$6$ |
$3$ |
$12.9100172738$ |
| 8.0.156950784.1 |
$x^{8} - 4 x^{7} + 11 x^{6} - 16 x^{5} + 19 x^{4} - 14 x^{3} + 5 x^{2} - 2 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{6}\cdot 29^{2}$ |
$3$ |
$10.5796289461$ |
$86.82212349332377$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$4$ |
$3$ |
$13.7562200225$ |
| 8.0.161798400.1 |
$x^{8} - 2 x^{7} + 3 x^{6} - 2 x^{4} + 6 x^{3} - 2 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{2}\cdot 5^{2}\cdot 53^{2}$ |
$4$ |
$10.6199330242$ |
$109.29313198194573$ |
|
|
✓ |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$4$ |
$3$ |
$13.2938884935$ |
| 8.0.215737344.1 |
$x^{8} - 2 x^{7} + 2 x^{6} - 4 x^{5} + 8 x^{4} - 2 x^{3} + 8 x^{2} - 4 x + 1$ |
$8$ |
[0,4] |
$2^{10}\cdot 3^{6}\cdot 17^{2}$ |
$3$ |
$11.0088173416$ |
$76.61980066869364$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$4$ |
$3$ |
$37.5252580164$ |
| 8.0.231800625.1 |
$x^{8} - 2 x^{7} + 5 x^{6} - 5 x^{5} + 6 x^{4} - 3 x^{3} + x^{2} + 2 x + 4$ |
$8$ |
[0,4] |
$3^{2}\cdot 5^{4}\cdot 7^{2}\cdot 29^{2}$ |
$4$ |
$11.1080883501$ |
$96.72230732469839$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$2$ |
$3$ |
$8.23623641259$ |
| 8.0.234916929.2 |
$x^{8} - 2 x^{7} + 8 x^{6} - 13 x^{5} + 20 x^{4} - 22 x^{3} + 11 x^{2} - 3 x + 1$ |
$8$ |
[0,4] |
$3^{4}\cdot 13^{2}\cdot 131^{2}$ |
$3$ |
$11.1266464711$ |
$109.60369026435812$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$6$ |
$3$ |
$27.9544569781$ |
| 8.0.235469025.1 |
$x^{8} - 5 x^{6} + 5 x^{4} - 3 x^{3} + 8 x^{2} + 6 x + 1$ |
$8$ |
[0,4] |
$3^{4}\cdot 5^{2}\cdot 11^{2}\cdot 31^{2}$ |
$4$ |
$11.1299118115$ |
$126.76025416897039$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$6$ |
$3$ |
$20.776962448$ |
| 8.0.237899776.1 |
$x^{8} - 2 x^{7} - 4 x^{5} + 9 x^{4} + 2 x^{3} - 2 x^{2} - 4 x + 4$ |
$8$ |
[0,4] |
$2^{12}\cdot 241^{2}$ |
$2$ |
$11.1442091496$ |
$154.9071104900048$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$4$ |
$3$ |
$31.5817888402$ |
| 8.4.242580625.1 |
$x^{8} - 2 x^{7} - 2 x^{6} + 3 x^{4} + 8 x^{3} + 5 x^{2} - x - 1$ |
$8$ |
[4,2] |
$5^{4}\cdot 7^{2}\cdot 89^{2}$ |
$3$ |
$11.1713848624$ |
$117.93083130693955$ |
|
|
✓ |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$2$ |
$5$ |
$12.3737391502$ |
| 8.0.266342400.1 |
$x^{8} + 2 x^{6} - 2 x^{5} + 2 x^{2} + 4 x + 2$ |
$8$ |
[0,4] |
$2^{12}\cdot 3^{2}\cdot 5^{2}\cdot 17^{2}$ |
$4$ |
$11.3026437342$ |
$100.33922392240893$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$4$ |
$3$ |
$32.7029561964$ |
| 8.0.290361600.1 |
$x^{8} - x^{6} + 7 x^{4} - 6 x^{3} + x^{2} + 2 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{2}\cdot 5^{2}\cdot 71^{2}$ |
$4$ |
$11.4252943497$ |
$85.34926791040876$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$4$ |
$3$ |
$19.1769691752$ |
| 8.0.293642496.2 |
$x^{8} - 2 x^{7} + 3 x^{6} - 10 x^{5} + 22 x^{4} - 30 x^{3} + 26 x^{2} - 16 x + 7$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 7^{2}\cdot 17^{2}$ |
$4$ |
$11.4413524277$ |
$87.89947351173537$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$6$ |
$3$ |
$29.4341313668$ |
| 8.0.298598400.1 |
$x^{8} - 2 x^{7} + 2 x^{6} - 8 x^{5} + 10 x^{4} - 4 x^{3} + 16 x^{2} - 8 x + 2$ |
$8$ |
[0,4] |
$2^{14}\cdot 3^{6}\cdot 5^{2}$ |
$3$ |
$11.4653135065$ |
$45.23253257583041$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$4$ |
$3$ |
$34.1357457214$ |
| 8.4.309760000.3 |
$x^{8} - 4 x^{7} + 6 x^{6} - 2 x^{5} - 6 x^{4} + 8 x^{3} - 7 x^{2} + 2 x + 1$ |
$8$ |
[4,2] |
$2^{12}\cdot 5^{4}\cdot 11^{2}$ |
$3$ |
$11.5180289813$ |
$52.60951311072139$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$2$ |
$5$ |
$16.4637362788$ |
| 8.4.330366976.1 |
$x^{8} - 4 x^{6} + 9 x^{4} - 8 x^{3} - 2 x^{2} + 4 x - 1$ |
$8$ |
[4,2] |
$2^{16}\cdot 71^{2}$ |
$2$ |
$11.6111324327$ |
$81.56234857422697$ |
|
|
✓ |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$2$ |
$5$ |
$19.0592487744$ |
| 8.0.382124304.1 |
$x^{8} - x^{7} + 3 x^{6} - 7 x^{5} + 4 x^{4} - 9 x^{3} + 9 x^{2} + 3$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{6}\cdot 181^{2}$ |
$3$ |
$11.8243038853$ |
$145.87806252677083$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$6$ |
$3$ |
$49.3118079277$ |
| 8.0.383885649.1 |
$x^{8} - 2 x^{7} + 6 x^{5} - 4 x^{4} - 4 x^{3} + 4 x^{2} + 3 x + 3$ |
$8$ |
[0,4] |
$3^{4}\cdot 7^{2}\cdot 311^{2}$ |
$3$ |
$11.8311029819$ |
$111.77367111572596$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$6$ |
$3$ |
$41.9892873349$ |
| 8.0.390615696.1 |
$x^{8} - 2 x^{7} - 2 x^{6} + 3 x^{5} + 6 x^{4} + 3 x + 3$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{8}\cdot 61^{2}$ |
$3$ |
$11.8568332267$ |
$111.658386923583$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$6$ |
$3$ |
$50.750796993$ |
| 8.0.396328464.1 |
$x^{8} - x^{7} - 4 x^{6} + 4 x^{5} - x^{3} + 10 x^{2} - 6 x + 1$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{4}\cdot 7^{2}\cdot 79^{2}$ |
$4$ |
$11.8783716138$ |
$81.4616474176652$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$6$ |
$3$ |
$38.5741587529$ |
| 8.4.416160000.1 |
$x^{8} - 4 x^{6} - 6 x^{5} + 7 x^{4} + 12 x^{3} - 2 x^{2} - 4 x + 1$ |
$8$ |
[4,2] |
$2^{8}\cdot 3^{2}\cdot 5^{4}\cdot 17^{2}$ |
$4$ |
$11.9510906854$ |
$39.093135182717376$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$2$ |
$5$ |
$22.0840214065$ |
| 8.4.437855625.1 |
$x^{8} - 3 x^{7} + 7 x^{6} - 14 x^{5} + 15 x^{4} - 14 x^{3} + 8 x^{2} - 1$ |
$8$ |
[4,2] |
$3^{6}\cdot 5^{4}\cdot 31^{2}$ |
$3$ |
$12.0272507837$ |
$101.48329058334654$ |
|
|
✓ |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$2$ |
$5$ |
$17.3514883691$ |
| 8.0.504631296.10 |
$x^{8} - 2 x^{7} + 8 x^{6} - 14 x^{5} + 22 x^{4} - 10 x^{3} - 4 x^{2} + 2 x + 1$ |
$8$ |
[0,4] |
$2^{12}\cdot 3^{6}\cdot 13^{2}$ |
$3$ |
$12.2425467923$ |
$59.68994680388826$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$4$ |
$3$ |
$46.0474402021$ |
| 8.4.515290000.1 |
$x^{8} - x^{7} - 5 x^{6} + 8 x^{4} + 10 x^{3} - 8 x - 4$ |
$8$ |
[4,2] |
$2^{4}\cdot 5^{4}\cdot 227^{2}$ |
$3$ |
$12.2745750123$ |
$53.47916214060727$ |
|
|
|
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$2$ |
$5$ |
$25.8332373774$ |
| 8.0.517653504.1 |
$x^{8} - x^{6} - x^{4} - 6 x^{3} + 16 x^{2} - 12 x + 4$ |
$8$ |
[0,4] |
$2^{10}\cdot 3^{4}\cdot 79^{2}$ |
$3$ |
$12.2815984741$ |
$151.69205859415985$ |
|
|
|
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$6$ |
$3$ |
$39.7765073726$ |
| 8.4.524410000.1 |
$x^{8} - 2 x^{7} - x^{6} - x^{5} + 2 x^{4} + 5 x^{3} + 3 x^{2} + 3 x + 1$ |
$8$ |
[4,2] |
$2^{4}\cdot 5^{4}\cdot 229^{2}$ |
$3$ |
$12.3015226498$ |
$167.39352415991402$ |
|
|
✓ |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$2$ |
$5$ |
$25.1580099066$ |
| 8.0.544195584.1 |
$x^{8} - 2 x^{7} + 7 x^{6} - 8 x^{5} + 16 x^{4} - 2 x^{3} + x^{2} + 16 x + 7$ |
$8$ |
[0,4] |
$2^{10}\cdot 3^{12}$ |
$2$ |
$12.3586028634$ |
$51.413859783540225$ |
|
|
|
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$6$ |
$3$ |
$80.9802795171$ |
| 8.0.546297129.1 |
$x^{8} - 3 x^{7} + 5 x^{6} - 7 x^{5} + 9 x^{4} - x^{3} + 6 x^{2} + 5 x + 1$ |
$8$ |
[0,4] |
$3^{4}\cdot 7^{4}\cdot 53^{2}$ |
$3$ |
$12.3645585313$ |
$63.81854946060407$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$6$ |
$3$ |
$44.0271298292$ |
| 8.4.554696704.2 |
$x^{8} - 4 x^{7} + 8 x^{6} - 4 x^{5} - 8 x^{4} + 12 x^{3} + 4 x^{2} - 4 x - 1$ |
$8$ |
[4,2] |
$2^{20}\cdot 23^{2}$ |
$2$ |
$12.3881640587$ |
$54.406532198197006$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$2$ |
$5$ |
$22.4716617767$ |
| 8.0.559417104.1 |
$x^{8} - 3 x^{7} + 3 x^{6} + x^{5} - 6 x^{4} + 3 x^{3} + 7 x^{2} - 12 x + 9$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{8}\cdot 73^{2}$ |
$3$ |
$12.4012929735$ |
$125.8597021324678$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$6$ |
$3$ |
$62.0399954442$ |
| 8.4.571210000.1 |
$x^{8} - 2 x^{7} + 11 x^{5} - 9 x^{4} - 12 x^{3} + 14 x^{2} - 4$ |
$8$ |
[4,2] |
$2^{4}\cdot 5^{4}\cdot 239^{2}$ |
$3$ |
$12.4336739678$ |
$172.23190232823214$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$2$ |
$5$ |
$25.7248042098$ |
| 8.4.571401216.1 |
$x^{8} - 3 x^{6} - 2 x^{5} + x^{4} + 7 x^{2} + 2 x - 2$ |
$8$ |
[4,2] |
$2^{10}\cdot 3^{4}\cdot 83^{2}$ |
$3$ |
$12.4341941726$ |
$83.04612062183598$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$2$ |
$5$ |
$54.5955828975$ |
| 8.0.581774400.1 |
$x^{8} - x^{7} + 8 x^{6} - 2 x^{5} + 21 x^{4} + 2 x^{3} + 22 x^{2} + 3 x + 7$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{4}\cdot 5^{2}\cdot 67^{2}$ |
$4$ |
$12.4621887831$ |
$180.7065209879911$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$6$ |
$3$ |
$52.607655974$ |
| 8.0.582160384.3 |
$x^{8} - 2 x^{7} - 4 x^{6} + 10 x^{5} + 7 x^{4} - 24 x^{3} - 2 x^{2} + 24 x + 10$ |
$8$ |
[0,4] |
$2^{12}\cdot 13^{2}\cdot 29^{2}$ |
$3$ |
$12.4632220036$ |
$136.13307861257317$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$4$ |
$3$ |
$54.1908483056$ |
| 8.0.586559961.1 |
$x^{8} - 3 x^{7} + 12 x^{6} - 31 x^{5} + 57 x^{4} - 84 x^{3} + 85 x^{2} - 48 x + 12$ |
$8$ |
[0,4] |
$3^{8}\cdot 13^{2}\cdot 23^{2}$ |
$3$ |
$12.4749568413$ |
$62.298423685493326$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
$[2]$ |
$6$ |
$3$ |
$29.5200450685$ |
| 8.0.590490000.1 |
$x^{8} - x^{7} - 2 x^{6} - 4 x^{5} + 13 x^{4} + 8 x^{3} - 20 x^{2} - 7 x + 13$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{10}\cdot 5^{4}$ |
$3$ |
$12.4853743509$ |
$38.789914838514406$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$6$ |
$3$ |
$74.483159459$ |
| 8.4.597704704.1 |
$x^{8} - 4 x^{5} - 5 x^{4} + 2 x^{2} + 4 x - 2$ |
$8$ |
[4,2] |
$2^{14}\cdot 191^{2}$ |
$2$ |
$12.5043417374$ |
$132.66272164336436$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$2$ |
$5$ |
$40.3503115982$ |
| 8.0.605061604.1 |
$x^{8} - 4 x^{7} + 8 x^{6} - 9 x^{5} + 3 x^{4} + 4 x^{3} - 4 x^{2} - 2 x + 4$ |
$8$ |
[0,4] |
$2^{2}\cdot 7^{4}\cdot 251^{2}$ |
$3$ |
$12.5234777724$ |
$66.53842926708282$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$2$ |
$3$ |
$34.4763844685$ |
| 8.4.610090000.1 |
$x^{8} - x^{7} + x^{6} + 3 x^{5} - 5 x^{4} - 4 x^{3} - 10 x^{2} - 8 x + 4$ |
$8$ |
[4,2] |
$2^{4}\cdot 5^{4}\cdot 13^{2}\cdot 19^{2}$ |
$4$ |
$12.5364403423$ |
$114.81247382007936$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$2$ |
$5$ |
$24.8286140703$ |
| 8.4.616628224.1 |
$x^{8} - 4 x^{7} + 8 x^{6} - 8 x^{5} - 3 x^{4} + 16 x^{3} - 18 x^{2} + 8 x - 1$ |
$8$ |
[4,2] |
$2^{16}\cdot 97^{2}$ |
$2$ |
$12.5531559709$ |
$100.42271987794592$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$2$ |
$5$ |
$23.8829770698$ |
| 8.4.642318336.1 |
$x^{8} - 4 x^{6} - 4 x^{5} + 6 x^{4} + 8 x^{3} - 4 x - 2$ |
$8$ |
[4,2] |
$2^{16}\cdot 3^{4}\cdot 11^{2}$ |
$3$ |
$12.6173685821$ |
$37.91251686360324$ |
|
|
✓ |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$2$ |
$5$ |
$36.4155193698$ |
| 8.0.642318336.4 |
$x^{8} + x^{4} - 4 x^{3} + 8 x^{2} - 8 x + 11$ |
$8$ |
[0,4] |
$2^{16}\cdot 3^{4}\cdot 11^{2}$ |
$3$ |
$12.6173685821$ |
$101.79840028324054$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$2$ |
$3$ |
$24.8982720832$ |
| 8.0.643941376.1 |
$x^{8} - 4 x^{7} + x^{6} + 6 x^{5} + 5 x^{4} - 5 x^{2} - 2 x + 2$ |
$8$ |
[0,4] |
$2^{10}\cdot 13^{2}\cdot 61^{2}$ |
$3$ |
$12.621349453$ |
$140.78775823535668$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$4$ |
$3$ |
$65.5770294937$ |
| 8.0.658846224.1 |
$x^{8} - x^{7} - 4 x^{6} + 6 x^{5} + 9 x^{4} - 14 x^{3} - 14 x^{2} + 12 x + 12$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{4}\cdot 23^{2}\cdot 31^{2}$ |
$4$ |
$12.6575020867$ |
$92.49864863877742$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$6$ |
$3$ |
$53.4966627964$ |
| 8.0.669360384.1 |
$x^{8} - 4 x^{7} + 11 x^{6} - 16 x^{5} + 17 x^{4} - 12 x^{3} + 8 x^{2} - 6 x + 2$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{2}\cdot 7^{4}\cdot 11^{2}$ |
$4$ |
$12.6825767927$ |
$67.92071732575211$ |
|
|
✓ |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$2$ |
$3$ |
$27.0385336003$ |
| 8.0.671846400.2 |
$x^{8} - 2 x^{7} + 8 x^{6} - 10 x^{5} + 23 x^{4} - 20 x^{3} + 26 x^{2} - 16 x + 10$ |
$8$ |
[0,4] |
$2^{12}\cdot 3^{8}\cdot 5^{2}$ |
$3$ |
$12.6884551613$ |
$82.46232172023022$ |
|
|
? |
$(A_4\wr C_2):C_2$ (as 8T45) |
trivial |
$4$ |
$3$ |
$64.2908063208$ |
