| 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 |
| 8.0.3504384.1 |
$x^{8} - x^{6} - x^{4} + x^{2} + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 13^{2}$ |
$3$ |
$6.57773633597$ |
$21.005585720479342$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$6$ |
$3$ |
$1.89186954131$ |
| 8.0.6906384.1 |
$x^{8} - x^{7} + x^{6} + x^{5} - x^{3} + x^{2} - 2 x + 1$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{4}\cdot 73^{2}$ |
$3$ |
$7.15988983658$ |
$29.597297173897484$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$6$ |
$3$ |
$3.2533818554$ |
| 8.0.12278016.1 |
$x^{8} - x^{6} - 2 x^{5} - x^{4} + 2 x^{3} + 3 x^{2} + 2 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{2}\cdot 73^{2}$ |
$3$ |
$7.69380233355$ |
$29.597297173897484$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$4$ |
$3$ |
$3.0241155036$ |
| 8.0.16842816.1 |
$x^{8} - x^{7} - x^{6} - x^{5} + 4 x^{4} - 5 x^{3} + 5 x^{2} - 2 x + 1$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{6}\cdot 19^{2}$ |
$3$ |
$8.00390339223$ |
$28.103650443517264$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$6$ |
$3$ |
$5.25709242254$ |
| 8.0.18939904.1 |
$x^{8} + x^{4} - 2 x^{2} + 1$ |
$8$ |
[0,4] |
$2^{16}\cdot 17^{2}$ |
$2$ |
$8.12217273948$ |
$23.323807579381203$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$4$ |
$3$ |
$4.36822381009$ |
| 8.0.22581504.1 |
$x^{8} - 2 x^{7} - x^{6} - 2 x^{5} + 7 x^{4} + 2 x^{3} - x^{2} + 2 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{6}\cdot 11^{2}$ |
$3$ |
$8.30269545139$ |
$21.383671649138826$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$6$ |
$3$ |
$5.73958214621$ |
| 8.0.24920064.1 |
$x^{8} - 2 x^{7} + 2 x^{5} - 2 x^{3} + 4 x^{2} - 2 x + 1$ |
$8$ |
[0,4] |
$2^{14}\cdot 3^{2}\cdot 13^{2}$ |
$3$ |
$8.40559854684$ |
$21.005585720479342$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$4$ |
$3$ |
$7.44385080228$ |
| 8.0.25310961.1 |
$x^{8} - x^{7} + 6 x^{6} + 9 x^{4} + 8 x^{3} + 8 x^{2} + 5 x + 7$ |
$8$ |
[0,4] |
$3^{4}\cdot 13^{2}\cdot 43^{2}$ |
$3$ |
$8.4219678523$ |
$40.95119045888654$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$6$ |
$3$ |
$6.13855308874$ |
| 8.4.25755625.1 |
$x^{8} - x^{7} + 3 x^{5} - 5 x^{4} + x^{3} + 6 x^{2} - 3 x - 1$ |
$8$ |
[4,2] |
$5^{4}\cdot 7^{2}\cdot 29^{2}$ |
$3$ |
$8.44032192774$ |
$31.85906464414798$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$2$ |
$5$ |
$3.21126171283$ |
| 8.0.26708224.1 |
$x^{8} - 2 x^{7} + 3 x^{6} - 10 x^{5} + 15 x^{4} - 10 x^{3} + 7 x^{2} - 4 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 17^{2}\cdot 19^{2}$ |
$3$ |
$8.47872649768$ |
$35.94440151122286$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$4$ |
$3$ |
$3.51278758928$ |
| 8.0.27040000.1 |
$x^{8} - 2 x^{7} + x^{6} + 4 x^{5} - 5 x^{4} - 4 x^{3} + 14 x^{2} - 12 x + 4$ |
$8$ |
[0,4] |
$2^{8}\cdot 5^{4}\cdot 13^{2}$ |
$3$ |
$8.49182109499$ |
$22.80350850198276$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$2$ |
$3$ |
$2.64294394612$ |
| 8.0.27541504.1 |
$x^{8} - 4 x^{6} + 9 x^{4} - 8 x^{2} + 4$ |
$8$ |
[0,4] |
$2^{14}\cdot 41^{2}$ |
$2$ |
$8.51135013409$ |
$30.458563605606066$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$4$ |
$3$ |
$10.623493361$ |
| 8.0.28387584.1 |
$x^{8} - 3 x^{6} + x^{4} + 3 x^{2} + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 37^{2}$ |
$3$ |
$8.54360289126$ |
$35.43757389251285$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$6$ |
$3$ |
$9.92325181393$ |
| 8.0.31539456.3 |
$x^{8} - 9 x^{2} + 9$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{6}\cdot 13^{2}$ |
$3$ |
$8.65678785583$ |
$27.64490549356882$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$6$ |
$3$ |
$7.19092591414$ |
| 8.0.35605089.1 |
$x^{8} - x^{7} + 2 x^{6} + 5 x^{5} + x^{4} + 7 x^{3} + 8 x^{2} + 13 x + 13$ |
$8$ |
[0,4] |
$3^{6}\cdot 13^{2}\cdot 17^{2}$ |
$3$ |
$8.78899079175$ |
$33.887308618687406$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$6$ |
$3$ |
$7.66684478894$ |
| 8.0.38440000.1 |
$x^{8} - x^{7} - x^{6} + 2 x^{5} + 2 x^{4} - 4 x^{3} + x^{2} + 3 x + 1$ |
$8$ |
[0,4] |
$2^{6}\cdot 5^{4}\cdot 31^{2}$ |
$3$ |
$8.87356065738$ |
$35.21363372331802$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$2$ |
$3$ |
$3.75463712678$ |
| 8.0.38452401.1 |
$x^{8} - x^{7} - 3 x^{6} + 3 x^{5} - 13 x^{3} + 5 x^{2} + 26 x + 13$ |
$8$ |
[0,4] |
$3^{4}\cdot 13^{2}\cdot 53^{2}$ |
$3$ |
$8.8739184406$ |
$45.46427168667722$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$6$ |
$3$ |
$6.4620580948$ |
| 8.0.39337984.1 |
$x^{8} - x^{6} + x^{2} + 1$ |
$8$ |
[0,4] |
$2^{14}\cdot 7^{4}$ |
$2$ |
$8.89921117251$ |
$19.409317196482316$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$2$ |
$3$ |
$4.69183721859$ |
| 8.4.46240000.1 |
$x^{8} - 4 x^{7} + 5 x^{6} + 2 x^{5} - 8 x^{4} + 2 x^{2} + 2 x - 1$ |
$8$ |
[4,2] |
$2^{8}\cdot 5^{4}\cdot 17^{2}$ |
$3$ |
$9.08086518523$ |
$26.076809620810597$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$2$ |
$5$ |
$4.66288986392$ |
| 8.0.47155689.1 |
$x^{8} - x^{7} + x^{5} + 5 x^{4} + x^{3} - x + 1$ |
$8$ |
[0,4] |
$3^{4}\cdot 7^{2}\cdot 109^{2}$ |
$3$ |
$9.10315131708$ |
$47.843494855622744$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$6$ |
$3$ |
$10.0923758098$ |
| 8.0.48274704.1 |
$x^{8} - x^{7} - 3 x^{6} + 3 x^{5} + 4 x^{4} - 3 x^{3} + 3 x^{2} - 2 x + 1$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{4}\cdot 193^{2}$ |
$3$ |
$9.12987754226$ |
$48.12483766206386$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$6$ |
$3$ |
$15.8044489586$ |
| 8.0.48776256.1 |
$x^{8} + 3 x^{6} - x^{4} - 6 x^{2} + 4$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{4}\cdot 97^{2}$ |
$3$ |
$9.14168089922$ |
$48.249352327259274$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$6$ |
$3$ |
$11.3106254741$ |
| 8.0.49561600.1 |
$x^{8} - 2 x^{7} + 6 x^{6} - 4 x^{5} + 6 x^{4} + 4 x^{3} + 4 x + 2$ |
$8$ |
[0,4] |
$2^{14}\cdot 5^{2}\cdot 11^{2}$ |
$3$ |
$9.15995130192$ |
$24.94501889043506$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$4$ |
$3$ |
$8.93117941773$ |
| 8.0.49787136.2 |
$x^{8} - 2 x^{7} - 4 x^{5} + 2 x^{4} + 8 x^{3} + 9 x^{2} + 4 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 7^{4}$ |
$3$ |
$9.16515138991$ |
$21.08284184494233$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$6$ |
$3$ |
$10.4652812038$ |
| 8.0.50481025.1 |
$x^{8} - 3 x^{7} + 2 x^{6} + x^{5} - 2 x^{4} + 4 x^{3} - x + 2$ |
$8$ |
[0,4] |
$5^{2}\cdot 7^{4}\cdot 29^{2}$ |
$3$ |
$9.18102184136$ |
$31.85906464414798$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$2$ |
$3$ |
$8.66998949491$ |
| 8.0.50694400.1 |
$x^{8} - 2 x^{7} + 5 x^{6} - 2 x^{5} + 2 x^{4} + 4 x^{3} + 10 x^{2} + 6 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 5^{2}\cdot 89^{2}$ |
$3$ |
$9.18586372852$ |
$42.190046219457976$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$4$ |
$3$ |
$8.42692718819$ |
| 8.0.51380224.2 |
$x^{8} + 2 x^{6} - 4 x^{5} + 12 x^{4} - 16 x^{3} + 16 x^{2} - 8 x + 2$ |
$8$ |
[0,4] |
$2^{20}\cdot 7^{2}$ |
$2$ |
$9.20130653516$ |
$19.409317196482316$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$4$ |
$3$ |
$11.3303268612$ |
| 8.0.52301824.1 |
$x^{8} - 3 x^{6} - 2 x^{5} + 2 x^{4} + 4 x^{3} + 5 x^{2} + 2 x + 1$ |
$8$ |
[0,4] |
$2^{12}\cdot 113^{2}$ |
$2$ |
$9.22177675407$ |
$42.5205832509386$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$4$ |
$3$ |
$13.0315129037$ |
| 8.0.56070144.1 |
$x^{8} - 2 x^{6} - 4 x^{4} + 8 x^{2} + 16$ |
$8$ |
[0,4] |
$2^{12}\cdot 3^{4}\cdot 13^{2}$ |
$3$ |
$9.30232393605$ |
$29.70638421149251$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$6$ |
$3$ |
$9.34429106887$ |
| 8.0.65173329.1 |
$x^{8} - 3 x^{7} - 2 x^{6} + 6 x^{5} + 15 x^{4} - 12 x^{3} - 26 x^{2} - 3 x + 31$ |
$8$ |
[0,4] |
$3^{6}\cdot 13^{2}\cdot 23^{2}$ |
$3$ |
$9.47891738498$ |
$39.41636175992507$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$6$ |
$3$ |
$10.3595916975$ |
| 8.0.65205625.1 |
$x^{8} - 3 x^{7} + 3 x^{6} - 2 x^{5} + 5 x^{4} - 6 x^{3} + 2 x^{2} + 4 x + 1$ |
$8$ |
[0,4] |
$5^{4}\cdot 17^{2}\cdot 19^{2}$ |
$3$ |
$9.47950440572$ |
$40.18706259482024$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$2$ |
$3$ |
$3.68737725862$ |
| 8.0.66341025.1 |
$x^{8} - x^{7} - 3 x^{6} - 2 x^{5} + 5 x^{4} + 4 x^{3} + 6 x^{2} + 2 x + 1$ |
$8$ |
[0,4] |
$3^{4}\cdot 5^{2}\cdot 181^{2}$ |
$3$ |
$9.49998177572$ |
$52.10566188045211$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$6$ |
$3$ |
$10.9024407468$ |
| 8.0.67240000.1 |
$x^{8} - x^{6} + 3 x^{4} - 2 x^{2} + 4$ |
$8$ |
[0,4] |
$2^{6}\cdot 5^{4}\cdot 41^{2}$ |
$3$ |
$9.51597874007$ |
$40.496913462633174$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$2$ |
$3$ |
$4.79771669735$ |
| 8.0.67765824.1 |
$x^{8} - x^{7} - x^{6} - x^{5} + 2 x^{4} + x^{3} - x^{2} + x + 1$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{2}\cdot 7^{6}$ |
$3$ |
$9.52524906644$ |
$21.08284184494233$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$2$ |
$3$ |
$6.43663502709$ |
| 8.0.67815225.1 |
$x^{8} - 3 x^{7} + 8 x^{6} - 15 x^{5} + 21 x^{4} - 15 x^{3} + 8 x^{2} - 3 x + 1$ |
$8$ |
[0,4] |
$3^{6}\cdot 5^{2}\cdot 61^{2}$ |
$3$ |
$9.52611677304$ |
$39.809879288004915$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$6$ |
$3$ |
$17.7886602463$ |
| 8.0.75272976.1 |
$x^{8} - x^{7} - 3 x^{6} + x^{5} + 8 x^{4} + x^{3} - 3 x^{2} - x + 1$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{4}\cdot 241^{2}$ |
$3$ |
$9.65116822864$ |
$53.777318638995006$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$6$ |
$3$ |
$14.1496889387$ |
| 8.0.75759616.3 |
$x^{8} - 2 x^{6} - 2 x^{4} + 4 x^{2} + 4$ |
$8$ |
[0,4] |
$2^{18}\cdot 17^{2}$ |
$2$ |
$9.65894561107$ |
$27.736837922354518$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$4$ |
$3$ |
$9.76774547793$ |
| 8.0.77158656.1 |
$x^{8} - 3 x^{6} + 10 x^{4} - 6 x^{2} + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 61^{2}$ |
$3$ |
$9.68106379025$ |
$45.501743431589645$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$6$ |
$3$ |
$19.7033239524$ |
| 8.0.78907689.1 |
$x^{8} - x^{7} + 2 x^{6} - x^{5} + x^{4} - 5 x^{3} + 20 x^{2} - 23 x + 13$ |
$8$ |
[0,4] |
$3^{6}\cdot 7^{2}\cdot 47^{2}$ |
$3$ |
$9.70822684296$ |
$41.3465131186474$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$6$ |
$3$ |
$12.0686251142$ |
| 8.4.79210000.1 |
$x^{8} - 4 x^{6} - 3 x^{4} + 4 x^{2} + 1$ |
$8$ |
[4,2] |
$2^{4}\cdot 5^{4}\cdot 89^{2}$ |
$3$ |
$9.71286833642$ |
$42.190046219457976$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$2$ |
$5$ |
$7.22071763926$ |
| 8.0.81288256.1 |
$x^{8} - x^{7} + 2 x^{6} - 3 x^{5} + 2 x^{4} + 5 x^{3} - 3 x^{2} - 6 x + 4$ |
$8$ |
[0,4] |
$2^{6}\cdot 7^{4}\cdot 23^{2}$ |
$3$ |
$9.74436348684$ |
$35.888716889852724$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$2$ |
$3$ |
$5.84078870945$ |
| 8.0.84768849.1 |
$x^{8} - x^{7} - 4 x^{6} + 11 x^{5} - 5 x^{4} - 17 x^{3} + 32 x^{2} - 23 x + 7$ |
$8$ |
[0,4] |
$3^{6}\cdot 11^{2}\cdot 31^{2}$ |
$3$ |
$9.7955660148$ |
$42.09379973515056$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$6$ |
$3$ |
$14.401430747$ |
| 8.0.85821696.1 |
$x^{8} - 3 x^{6} - 4 x^{5} + 3 x^{4} + 4 x^{3} + 5 x^{2} + 2 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{2}\cdot 193^{2}$ |
$3$ |
$9.81069188815$ |
$48.12483766206386$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$4$ |
$3$ |
$9.99521131786$ |
| 8.0.86266944.1 |
$x^{8} - 3 x^{7} + 5 x^{6} - 3 x^{5} + 3 x^{3} + 5 x^{2} + 3 x + 1$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{6}\cdot 43^{2}$ |
$3$ |
$9.81703979951$ |
$42.27855760797761$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$6$ |
$3$ |
$23.8140339297$ |
| 8.4.88830625.1 |
$x^{8} - x^{7} - x^{6} + 2 x^{5} - 3 x^{4} + 6 x^{3} - 4 x^{2} - 2 x + 1$ |
$8$ |
[4,2] |
$5^{4}\cdot 13^{2}\cdot 29^{2}$ |
$3$ |
$9.85304212894$ |
$43.41658669218482$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$2$ |
$5$ |
$6.91367596488$ |
| 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 |
$2$ |
$3$ |
$6.45636202239$ |
| 8.0.98406400.1 |
$x^{8} - 2 x^{7} + 5 x^{6} - 6 x^{5} + 10 x^{4} - 6 x^{3} + 3 x^{2} + 2 x + 1$ |
$8$ |
[0,4] |
$2^{12}\cdot 5^{2}\cdot 31^{2}$ |
$3$ |
$9.97993971845$ |
$35.21363372331802$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$2$ |
$3$ |
$12.9822513706$ |
| 8.0.98406400.2 |
$x^{8} - 6 x^{5} + 7 x^{4} + 6 x^{3} + 10 x^{2} + 6 x + 1$ |
$8$ |
[0,4] |
$2^{12}\cdot 5^{2}\cdot 31^{2}$ |
$3$ |
$9.97993971845$ |
$35.21363372331802$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$4$ |
$3$ |
$8.67800097742$ |
| 8.0.98724096.1 |
$x^{8} - 2 x^{7} + 9 x^{6} - 14 x^{5} + 25 x^{4} - 24 x^{3} + 21 x^{2} - 12 x + 3$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{6}\cdot 23^{2}$ |
$3$ |
$9.98396145601$ |
$30.920738118260054$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$6$ |
$3$ |
$22.0334396841$ |
| 8.4.103530625.1 |
$x^{8} - 3 x^{7} + 3 x^{6} - 2 x^{5} - 7 x^{4} + 12 x^{3} + 8 x - 1$ |
$8$ |
[4,2] |
$5^{4}\cdot 11^{2}\cdot 37^{2}$ |
$3$ |
$10.0434657867$ |
$45.110974274559844$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$2$ |
$5$ |
$7.54213494015$ |
