| 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 |
| 8.0.1513728.1 |
$x^{8} - 2 x^{7} + x^{6} + 2 x^{5} - 3 x^{4} - 2 x^{3} + x^{2} + 2 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 73$ |
$3$ |
$5.92251242534$ |
$29.597297173897484$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$2.10694405423$ |
| 8.0.4002048.1 |
$x^{8} - 4 x^{7} + 10 x^{6} - 16 x^{5} + 18 x^{4} - 14 x^{3} + 7 x^{2} - 2 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 193$ |
$3$ |
$6.68783094772$ |
$48.12483766206386$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$4.00043565697$ |
| 8.0.4313088.1 |
$x^{8} - 2 x^{7} - 2 x^{6} + 6 x^{5} + x^{4} - 10 x^{3} + 6 x^{2} + 1$ |
$8$ |
[0,4] |
$2^{12}\cdot 3^{4}\cdot 13$ |
$3$ |
$6.75069582567$ |
$21.005585720479342$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$4.58390388855$ |
| 8.0.4997376.1 |
$x^{8} - x^{6} - 2 x^{5} + 4 x^{3} + 6 x^{2} + 4 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 241$ |
$3$ |
$6.87610901338$ |
$53.777318638995006$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$4.49713262252$ |
| 8.0.7405568.1 |
$x^{8} - 4 x^{7} + 10 x^{6} - 16 x^{5} + 21 x^{4} - 20 x^{3} + 12 x^{2} - 4 x + 1$ |
$8$ |
[0,4] |
$2^{16}\cdot 113$ |
$2$ |
$7.22262050915$ |
$42.5205832509386$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$8$ |
$3$ |
$4.36636431174$ |
| 8.0.8481024.1 |
$x^{8} - 3 x^{6} - 2 x^{5} + 4 x^{4} + 6 x^{3} + x^{2} - 4 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 409$ |
$3$ |
$7.34608647763$ |
$70.05711955254797$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$7.82718130771$ |
| 8.0.9163125.1 |
$x^{8} - x^{7} - 2 x^{6} + 4 x^{5} + 3 x^{4} - 4 x^{3} - 2 x^{2} + x + 1$ |
$8$ |
[0,4] |
$3^{4}\cdot 5^{4}\cdot 181$ |
$3$ |
$7.41746407177$ |
$52.10566188045211$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$6$ |
$3$ |
$4.07251959399$ |
| 8.0.9476352.1 |
$x^{8} - 4 x^{7} + 12 x^{6} - 22 x^{5} + 33 x^{4} - 34 x^{3} + 26 x^{2} - 12 x + 4$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 457$ |
$3$ |
$7.44869425136$ |
$74.05403432629447$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$8.38190405558$ |
| 8.0.9974016.1 |
$x^{8} - 4 x^{7} + 2 x^{6} + 8 x^{5} - 6 x^{4} - 6 x^{3} + 3 x^{2} + 2 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 13\cdot 37$ |
$4$ |
$7.49650366357$ |
$75.97367965289031$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$6.63413830473$ |
| 8.0.9974016.2 |
$x^{8} - 2 x^{7} + 3 x^{6} + 2 x^{5} - 4 x^{4} - 4 x^{3} + 3 x^{2} + 4 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 13\cdot 37$ |
$4$ |
$7.49650366357$ |
$75.97367965289031$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$8.71900261919$ |
| 8.0.10747904.1 |
$x^{8} - 4 x^{7} + 10 x^{6} - 16 x^{5} + 20 x^{4} - 16 x^{3} + 10 x^{2} - 4 x + 1$ |
$8$ |
[0,4] |
$2^{18}\cdot 41$ |
$2$ |
$7.56685605346$ |
$30.458563605606066$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$8$ |
$3$ |
$7.71875914204$ |
| 8.0.11593125.1 |
$x^{8} - 4 x^{7} + 5 x^{6} - x^{5} - 3 x^{3} + 3 x^{2} - x + 1$ |
$8$ |
[0,4] |
$3^{4}\cdot 5^{4}\cdot 229$ |
$3$ |
$7.63879868778$ |
$58.60887304837041$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$6$ |
$3$ |
$4.70597835876$ |
| 8.0.12275712.1 |
$x^{8} - 2 x^{7} + 4 x^{6} - 8 x^{5} + 18 x^{4} - 28 x^{3} + 28 x^{2} - 16 x + 4$ |
$8$ |
[0,4] |
$2^{12}\cdot 3^{4}\cdot 37$ |
$3$ |
$7.69362184861$ |
$35.43757389251285$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$8.94624132876$ |
| 8.0.12462336.1 |
$x^{8} - 4 x^{7} + 4 x^{6} + 2 x^{5} - 8 x^{3} + x^{2} + 4 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 601$ |
$3$ |
$7.70814599983$ |
$84.92349498224858$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$7.93275361145$ |
| 8.0.14240000.3 |
$x^{8} - 2 x^{7} + x^{6} - 4 x^{5} + 11 x^{4} - 12 x^{3} + 9 x^{2} - 4 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 5^{4}\cdot 89$ |
$3$ |
$7.83770203011$ |
$42.190046219457976$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$4$ |
$3$ |
$3.36611739381$ |
| 8.0.15390000.1 |
$x^{8} - 3 x^{7} + 9 x^{6} - 15 x^{5} + 20 x^{4} - 15 x^{3} + 9 x^{2} - 3 x + 1$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{4}\cdot 5^{4}\cdot 19$ |
$4$ |
$7.91416002478$ |
$47.74934554525329$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$6$ |
$3$ |
$5.05234307362$ |
| 8.0.15390000.2 |
$x^{8} - 3 x^{7} + 2 x^{6} - x^{5} + 6 x^{4} - 7 x^{3} + 3 x^{2} - 4 x + 4$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{4}\cdot 5^{4}\cdot 19$ |
$4$ |
$7.91416002478$ |
$47.74934554525329$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$6$ |
$3$ |
$6.33879166699$ |
| 8.0.15945984.1 |
$x^{8} - 2 x^{7} + 2 x^{6} + 8 x^{4} + 6 x^{3} + 5 x^{2} + 4 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 769$ |
$3$ |
$7.94934627784$ |
$96.06247966818262$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$8.8708026761$ |
| 8.0.16443648.1 |
$x^{8} - 2 x^{7} + 9 x^{6} - 10 x^{5} + 17 x^{4} - 10 x^{3} + 9 x^{2} - 2 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 13\cdot 61$ |
$4$ |
$7.97994267298$ |
$97.54998718605759$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$8.70729457295$ |
| 8.0.16443648.2 |
$x^{8} - 2 x^{7} - x^{6} + 4 x^{5} + 3 x^{4} - 6 x^{3} - 6 x^{2} + 4 x + 4$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 13\cdot 61$ |
$4$ |
$7.97994267298$ |
$97.54998718605759$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$11.7606287827$ |
| 8.0.16842752.1 |
$x^{8} + x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1$ |
$8$ |
[0,4] |
$2^{16}\cdot 257$ |
$2$ |
$8.00389959053$ |
$64.1248781675256$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$8$ |
$3$ |
$7.14148978307$ |
| 8.0.17668125.1 |
$x^{8} - 2 x^{7} + 4 x^{6} - 5 x^{5} + 6 x^{4} - x^{3} - 2 x^{2} + 2 x + 1$ |
$8$ |
[0,4] |
$3^{4}\cdot 5^{4}\cdot 349$ |
$3$ |
$8.05190807123$ |
$72.35329985563892$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$6$ |
$3$ |
$6.32819446096$ |
| 8.0.17825792.1 |
$x^{8} - 4 x^{5} + 2 x^{4} + 8 x^{2} - 8 x + 2$ |
$8$ |
[0,4] |
$2^{20}\cdot 17$ |
$2$ |
$8.06085491222$ |
$23.323807579381203$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$8$ |
$3$ |
$10.5069161848$ |
| 8.0.18102528.1 |
$x^{8} + 4 x^{6} - 6 x^{5} + 9 x^{4} - 6 x^{3} + 10 x^{2} - 12 x + 4$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{6}\cdot 97$ |
$3$ |
$8.07639225215$ |
$44.90108172427668$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$12.6809325635$ |
| 8.0.18911232.1 |
$x^{8} - 2 x^{7} + 5 x^{6} - 12 x^{5} + 17 x^{4} - 12 x^{3} + 5 x^{2} - 2 x + 1$ |
$8$ |
[0,4] |
$2^{12}\cdot 3^{5}\cdot 19$ |
$3$ |
$8.12063476098$ |
$28.103650443517264$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$6$ |
$3$ |
$6.13315917971$ |
| 8.0.20238336.1 |
$x^{8} - 4 x^{7} + 6 x^{6} + 2 x^{5} - 7 x^{4} - 2 x^{3} + 10 x^{2} + 6 x + 1$ |
$8$ |
[0,4] |
$2^{12}\cdot 3^{4}\cdot 61$ |
$3$ |
$8.18977273336$ |
$45.501743431589645$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$12.2723894483$ |
| 8.0.21198429.1 |
$x^{8} - 3 x^{7} + 2 x^{6} - 2 x^{5} + 3 x^{4} + x^{3} + 3 x^{2} - 2 x + 1$ |
$8$ |
[0,4] |
$3^{4}\cdot 7^{4}\cdot 109$ |
$3$ |
$8.23735835174$ |
$47.843494855622744$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$6$ |
$3$ |
$7.34717447525$ |
| 8.0.21781872.1 |
$x^{8} - x^{7} + 3 x^{6} - 5 x^{5} + 8 x^{4} - 5 x^{3} + 3 x^{2} - x + 1$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{4}\cdot 7^{5}$ |
$3$ |
$8.26536239927$ |
$21.08284184494233$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$6$ |
$3$ |
$6.78651729358$ |
| 8.0.22085632.1 |
$x^{8} - 4 x^{7} + 10 x^{6} - 16 x^{5} + 19 x^{4} - 16 x^{3} + 10 x^{2} - 4 x + 2$ |
$8$ |
[0,4] |
$2^{16}\cdot 337$ |
$2$ |
$8.27968337071$ |
$73.43023900274328$ |
|
|
✓ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$8$ |
$3$ |
$18.4049453454$ |
| 8.0.23134208.1 |
$x^{8} - 4 x^{6} - 4 x^{5} + 3 x^{4} + 12 x^{3} + 12 x^{2} + 4 x + 1$ |
$8$ |
[0,4] |
$2^{16}\cdot 353$ |
$2$ |
$8.32782958525$ |
$75.15317691222374$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$8$ |
$3$ |
$8.55304222695$ |
| 8.0.23908608.1 |
$x^{8} - 7 x^{6} - 4 x^{5} + 15 x^{4} + 14 x^{3} - 6 x^{2} - 4 x + 4$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 1153$ |
$3$ |
$8.36217566232$ |
$117.6265276202609$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$14.8376166842$ |
| 8.0.25110000.1 |
$x^{8} - 3 x^{7} + 4 x^{6} + 2 x^{5} - 7 x^{4} + 4 x^{3} + 6 x^{2} + x + 1$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{4}\cdot 5^{4}\cdot 31$ |
$4$ |
$8.41358020424$ |
$60.991802727907626$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$6$ |
$3$ |
$6.66044068627$ |
| 8.0.25110000.2 |
$x^{8} - 3 x^{7} + 8 x^{6} - 16 x^{5} + 27 x^{4} - 34 x^{3} + 30 x^{2} - 16 x + 4$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{4}\cdot 5^{4}\cdot 31$ |
$4$ |
$8.41358020424$ |
$60.991802727907626$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$6$ |
$3$ |
$6.24648804551$ |
| 8.0.26894592.1 |
$x^{8} - 2 x^{7} - x^{6} - x^{4} + 18 x^{3} - 7 x^{2} - 20 x + 13$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 1297$ |
$3$ |
$8.48609950872$ |
$124.75576139000555$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$12.2510718605$ |
| 8.0.27388125.1 |
$x^{8} - 4 x^{7} + 11 x^{6} - 19 x^{5} + 27 x^{4} - 27 x^{3} + 21 x^{2} - 10 x + 4$ |
$8$ |
[0,4] |
$3^{4}\cdot 5^{4}\cdot 541$ |
$3$ |
$8.50541067009$ |
$90.08329478876757$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$6$ |
$3$ |
$7.76710452238$ |
| 8.0.27392256.1 |
$x^{8} - 4 x^{7} + 4 x^{6} + 2 x^{5} - 3 x^{4} - 2 x^{3} - 2 x^{2} + 4 x + 4$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 1321$ |
$3$ |
$8.5055710203$ |
$125.90472588429714$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$16.6745860209$ |
| 8.0.27793125.1 |
$x^{8} - x^{7} + 5 x^{6} - 7 x^{5} + 10 x^{4} - 14 x^{3} + 11 x^{2} - 8 x + 4$ |
$8$ |
[0,4] |
$3^{6}\cdot 5^{4}\cdot 61$ |
$3$ |
$8.52103153538$ |
$39.809879288004915$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$6$ |
$3$ |
$8.09705831236$ |
| 8.0.29382912.1 |
$x^{8} - 4 x^{6} - 6 x^{5} + 13 x^{4} + 6 x^{3} - 18 x + 9$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 13\cdot 109$ |
$4$ |
$8.58048535306$ |
$130.39938650162432$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$17.1424117023$ |
| 8.0.29382912.3 |
$x^{8} - 2 x^{7} + x^{6} + 4 x^{5} - 12 x^{4} - 4 x^{3} + 16 x^{2} + 8 x + 1$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 13\cdot 109$ |
$4$ |
$8.58048535306$ |
$130.39938650162432$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$13.1648161509$ |
| 8.0.29818125.2 |
$x^{8} - x^{7} + 6 x^{6} - 2 x^{5} + 11 x^{4} - 2 x^{3} + 6 x^{2} - x + 1$ |
$8$ |
[0,4] |
$3^{4}\cdot 5^{4}\cdot 19\cdot 31$ |
$4$ |
$8.59626987331$ |
$93.99468070055879$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$6$ |
$3$ |
$8.167725928$ |
| 8.0.29818125.3 |
$x^{8} - x^{7} - 3 x^{6} - x^{5} + 8 x^{4} + 4 x^{3} - 5 x^{2} - 6 x + 4$ |
$8$ |
[0,4] |
$3^{4}\cdot 5^{4}\cdot 19\cdot 31$ |
$4$ |
$8.59626987331$ |
$93.99468070055879$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$6$ |
$3$ |
$8.70715489075$ |
| 8.0.32182272.1 |
$x^{8} - 2 x^{7} + 15 x^{4} - 44 x^{3} + 56 x^{2} - 38 x + 13$ |
$8$ |
[0,4] |
$2^{12}\cdot 3^{4}\cdot 97$ |
$3$ |
$8.67864827177$ |
$48.249352327259274$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$15.2996465919$ |
| 8.0.32182272.2 |
$x^{8} - 2 x^{7} + 3 x^{6} + 4 x^{4} - 6 x^{3} + 6 x^{2} - 4 x + 1$ |
$8$ |
[0,4] |
$2^{12}\cdot 3^{4}\cdot 97$ |
$3$ |
$8.67864827177$ |
$48.249352327259274$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$6$ |
$3$ |
$10.6790810115$ |
| 8.0.34359552.2 |
$x^{8} - 4 x^{7} + x^{6} + 8 x^{5} + 3 x^{4} - 14 x^{3} - 2 x^{2} + 4 x + 4$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 1657$ |
$3$ |
$8.74995735875$ |
$141.01063789657857$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$19.0977584408$ |
| 8.0.35893125.1 |
$x^{8} - 4 x^{7} + 9 x^{6} - 13 x^{5} + 15 x^{4} - 13 x^{3} + 11 x^{2} - 6 x + 4$ |
$8$ |
[0,4] |
$3^{4}\cdot 5^{4}\cdot 709$ |
$3$ |
$8.79784707837$ |
$103.12613635737547$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$6$ |
$3$ |
$9.00433207576$ |
| 8.0.35913728.2 |
$x^{8} + 2 x^{6} - 8 x^{5} + 16 x^{4} - 20 x^{3} + 16 x^{2} - 8 x + 2$ |
$8$ |
[0,4] |
$2^{18}\cdot 137$ |
$2$ |
$8.79847817604$ |
$55.67724965119797$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$8$ |
$3$ |
$15.8422580071$ |
| 8.0.36163584.1 |
$x^{8} - 2 x^{7} - 6 x^{4} + 4 x^{3} + 20 x^{2} + 16 x + 4$ |
$8$ |
[0,4] |
$2^{12}\cdot 3^{4}\cdot 109$ |
$3$ |
$8.80610649265$ |
$60.8241948501418$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$16.2437956256$ |
| 8.0.36847872.1 |
$x^{8} - 2 x^{7} - 3 x^{6} + 8 x^{5} + 5 x^{4} - 16 x^{3} - 12 x^{2} + 16 x + 16$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 1777$ |
$3$ |
$8.82676474042$ |
$146.02739469017448$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$18.9972956759$ |
| 8.0.37345536.1 |
$x^{8} - 4 x^{7} + 11 x^{6} - 18 x^{5} + 29 x^{4} - 36 x^{3} + 41 x^{2} - 28 x + 13$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 1801$ |
$3$ |
$8.84157910992$ |
$147.01020372749642$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$12$ |
$3$ |
$15.3636738187$ |
| 8.0.37814272.1 |
$x^{8} + 6 x^{6} - 8 x^{5} + 11 x^{4} - 12 x^{3} + 6 x^{2} - 4 x + 2$ |
$8$ |
[0,4] |
$2^{16}\cdot 577$ |
$2$ |
$8.85537522262$ |
$96.08329719571451$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$8$ |
$3$ |
$25.6411282689$ |
