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 |
10.0.38305556224.1 |
$x^{10} - 3 x^{9} + 2 x^{8} - 2 x^{7} + 9 x^{6} - 7 x^{5} - 8 x^{3} + 8 x^{2} + 4 x + 4$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 13^{6}\cdot 31$ |
$3$ |
$11.4373701711$ |
$66.36855431977189$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$41.7926601087$ |
10.2.50662187264.1 |
$x^{10} - x^{9} - 2 x^{8} + 2 x^{7} + x^{6} - 3 x^{5} + 2 x^{4} + 6 x^{3} + 2 x^{2} - 4 x - 2$ |
$10$ |
[2,4] |
$2^{8}\cdot 13^{6}\cdot 41$ |
$3$ |
$11.7616538442$ |
$76.32616452042257$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$54.6640423014$ |
10.0.68430008115.1 |
$x^{10} - 3 x^{9} + 4 x^{8} - 2 x^{7} + 3 x^{5} - x^{4} - 6 x^{3} + 9 x^{2} - 5 x + 1$ |
$10$ |
[0,5] |
$-\,3^{4}\cdot 5\cdot 7\cdot 17^{6}$ |
$4$ |
$12.1206150742$ |
$85.78894766651194$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$35.6964234794$ |
10.0.70000000000.1 |
$x^{10} + 5 x^{8} + 10 x^{6} - 4 x^{5} + 10 x^{4} + 5 x^{2} + 1$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 5^{10}\cdot 7$ |
$3$ |
$12.1481404404$ |
$38.02548569032195$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$50.7501996678$ |
10.0.72904123136.1 |
$x^{10} - 4 x^{9} + 9 x^{8} - 14 x^{7} + 20 x^{6} - 24 x^{5} + 22 x^{4} - 14 x^{3} + 11 x^{2} - 4 x + 1$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 13^{6}\cdot 59$ |
$3$ |
$12.1976230808$ |
$91.5603652713465$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$16.8930451839$ |
10.2.95146059008.1 |
$x^{10} - 3 x^{9} + 3 x^{8} + 2 x^{7} - 3 x^{6} + 11 x^{5} - 3 x^{4} + 2 x^{3} + 3 x^{2} - 3 x + 1$ |
$10$ |
[2,4] |
$2^{8}\cdot 7\cdot 11\cdot 13^{6}$ |
$4$ |
$12.5267693331$ |
$104.59884123089594$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$34.5929840028$ |
10.2.98853048320.1 |
$x^{10} - x^{8} - 4 x^{7} + 6 x^{6} - 6 x^{4} - 4 x^{3} + x^{2} - 1$ |
$10$ |
[2,4] |
$2^{12}\cdot 5\cdot 13^{6}$ |
$3$ |
$12.5747397808$ |
$44.82693131283043$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$59.522185836$ |
10.2.105031363840.1 |
$x^{10} - x^{9} - x^{8} + 2 x^{7} - x^{6} - 3 x^{5} + x^{4} + 2 x^{3} + x^{2} - x - 1$ |
$10$ |
[2,4] |
$2^{8}\cdot 5\cdot 13^{6}\cdot 17$ |
$4$ |
$12.6512052153$ |
$109.89829979197975$ |
|
|
✓ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$43.8146310423$ |
10.0.112445342464.1 |
$x^{10} - x^{9} - x^{8} + 2 x^{7} + 5 x^{6} + x^{5} + 5 x^{4} + 2 x^{3} - x^{2} - x + 1$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 7\cdot 13^{7}$ |
$3$ |
$12.7377918326$ |
$43.458371668016945$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$36.1834816564$ |
10.0.113681005568.1 |
$x^{10} - 4 x^{9} + 6 x^{8} - 6 x^{7} + 6 x^{6} - 8 x^{5} + 10 x^{4} - 6 x^{3} + 8 x^{2} - 2 x + 2$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 13^{6}\cdot 23$ |
$3$ |
$12.7517206652$ |
$74.13643139376637$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$41.6674565401$ |
10.0.117387994880.1 |
$x^{10} - x^{9} + 2 x^{8} + 2 x^{7} + x^{6} + x^{5} - 4 x^{4} + 12 x^{3} - 8 x + 8$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 5\cdot 13^{6}\cdot 19$ |
$4$ |
$12.7927045075$ |
$116.18319450363704$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$83.143831444$ |
10.0.117500000000.1 |
$x^{10} - 5 x^{8} - 10 x^{7} + 10 x^{6} + 24 x^{5} + 20 x^{4} + 10 x^{3} + 5 x^{2} + 1$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 5^{10}\cdot 47$ |
$3$ |
$12.7939245927$ |
$75.97810028385953$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$77.1153164745$ |
10.0.120000000000.1 |
$x^{10} - 5 x^{8} + 10 x^{6} - 10 x^{4} + 5 x^{2} + 3$ |
$10$ |
[0,5] |
$-\,2^{12}\cdot 3\cdot 5^{10}$ |
$3$ |
$12.8208885399$ |
$32.28290630243523$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$47.7181793491$ |
10.2.130000000000.1 |
$x^{10} - 5 x^{8} + 10 x^{6} - 2 x^{5} - 10 x^{4} + 10 x^{3} + 5 x^{2} - 10 x + 3$ |
$10$ |
[2,4] |
$2^{10}\cdot 5^{10}\cdot 13$ |
$3$ |
$12.9239222078$ |
$51.82000207559602$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$93.2078235614$ |
10.0.138394267648.1 |
$x^{10} - 2 x^{9} + 2 x^{8} - 2 x^{7} - 2 x^{6} + 4 x^{5} - 2 x^{4} - 2 x^{3} + 12 x^{2} - 8 x + 10$ |
$10$ |
[0,5] |
$-\,2^{12}\cdot 7\cdot 13^{6}$ |
$3$ |
$13.0050435298$ |
$53.03994041564626$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$57.5565135752$ |
10.0.140380859375.1 |
$x^{10} + 5 x^{8} + 15 x^{6} - 6 x^{5} + 20 x^{4} - 15 x^{3} + 20 x^{2} - 20 x + 7$ |
$10$ |
[0,5] |
$-\,5^{14}\cdot 23$ |
$2$ |
$13.0235922216$ |
$58.11221439059137$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$56.9989310588$ |
10.0.146484375000.1 |
$x^{10} - 5 x^{9} + 20 x^{8} - 45 x^{7} + 80 x^{6} - 90 x^{5} + 80 x^{4} - 45 x^{3} + 20 x^{2} - 5 x + 1$ |
$10$ |
[0,5] |
$-\,2^{3}\cdot 3\cdot 5^{14}$ |
$3$ |
$13.0791382449$ |
$59.36208242021212$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$79.0647393989$ |
10.0.147500000000.1 |
$x^{10} + 5 x^{8} + 10 x^{6} - 2 x^{5} + 5 x^{2} + 10 x + 7$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 5^{10}\cdot 59$ |
$3$ |
$13.0881782783$ |
$85.12664303309019$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$43.2666642411$ |
10.0.154456304031.1 |
$x^{10} - 3 x^{9} + 9 x^{8} - 14 x^{7} + 27 x^{6} - 33 x^{5} + 44 x^{4} - 39 x^{3} + 33 x^{2} - 27 x + 9$ |
$10$ |
[0,5] |
$-\,3^{4}\cdot 17^{6}\cdot 79$ |
$3$ |
$13.1486317943$ |
$128.88751904514865$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$32.6542143319$ |
10.2.170898437500.1 |
$x^{10} - 5 x^{9} + 10 x^{8} - 5 x^{7} - 15 x^{6} + 37 x^{5} - 45 x^{4} + 40 x^{3} - 25 x^{2} + 10 x - 2$ |
$10$ |
[2,4] |
$2^{2}\cdot 5^{14}\cdot 7$ |
$3$ |
$13.2823160265$ |
$64.11837724715174$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$68.63808393$ |
10.0.172992834560.1 |
$x^{10} - 2 x^{9} - x^{8} + 10 x^{7} - 12 x^{6} - 2 x^{5} + 24 x^{4} - 26 x^{3} + 11 x^{2} + 4 x + 1$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 5\cdot 7\cdot 13^{6}$ |
$4$ |
$13.2985047113$ |
$91.45380541993104$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$55.2479344075$ |
10.0.176699823872.1 |
$x^{10} - 2 x^{9} + 4 x^{8} - 8 x^{7} + 14 x^{6} - 16 x^{5} + 24 x^{4} - 40 x^{3} + 40 x^{2} - 20 x + 4$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 11\cdot 13^{7}$ |
$3$ |
$13.3267303889$ |
$54.47795196012849$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$97.1061326992$ |
10.2.182500000000.1 |
$x^{10} - 5 x^{8} - 22 x^{5} - 10 x^{4} - 25 x^{2} - 10 x - 1$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{10}\cdot 73$ |
$3$ |
$13.3698423671$ |
$94.68930557695136$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$114.928188959$ |
10.2.182878139392.1 |
$x^{10} - 4 x^{9} + x^{8} + 8 x^{7} - 8 x^{6} + 4 x^{5} + 4 x^{4} - 4 x^{3} + 9 x^{2} - 6 x + 5$ |
$10$ |
[2,4] |
$2^{10}\cdot 13^{6}\cdot 37$ |
$3$ |
$13.3726100144$ |
$94.03047309312696$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$92.1938217042$ |
10.0.186585128704.1 |
$x^{10} - x^{9} - 4 x^{8} + 2 x^{7} + 9 x^{6} + 9 x^{5} - 30 x^{4} - 8 x^{3} + 44 x^{2} - 24 x + 4$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 13^{6}\cdot 151$ |
$3$ |
$13.3994725281$ |
$146.4771847671907$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$95.5108528947$ |
10.0.193559165811.1 |
$x^{10} - x^{9} + x^{8} + 4 x^{7} - 5 x^{6} + 10 x^{5} + 2 x^{4} - 21 x^{3} + 41 x^{2} - 30 x + 7$ |
$10$ |
[0,5] |
$-\,3^{6}\cdot 11\cdot 17^{6}$ |
$3$ |
$13.4487330813$ |
$63.29566611082104$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$47.0122268782$ |
10.2.197469451989.1 |
$x^{10} - x^{7} + 4 x^{6} - 3 x^{5} - 4 x^{4} - x^{3} - 1$ |
$10$ |
[2,4] |
$3^{4}\cdot 17^{6}\cdot 101$ |
$3$ |
$13.4756583613$ |
$145.7330335838672$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$57.0883669314$ |
10.0.201413085952.1 |
$x^{10} - 2 x^{9} - 2 x^{8} + 6 x^{7} - 4 x^{6} - 2 x^{5} + 4 x^{4} + 16 x^{2} + 4 x + 4$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 13^{6}\cdot 163$ |
$3$ |
$13.5023315644$ |
$152.18621397092525$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$52.5662828316$ |
10.2.205290024345.1 |
$x^{10} - x^{9} + 2 x^{8} - x^{7} - 8 x^{5} + 4 x^{4} + 10 x^{3} - 6 x^{2} - x + 1$ |
$10$ |
[2,4] |
$3^{5}\cdot 5\cdot 7\cdot 17^{6}$ |
$4$ |
$13.5280993679$ |
$85.78894766651194$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$68.0921597385$ |
10.0.207500000000.1 |
$x^{10} - 5 x^{9} + 15 x^{8} - 30 x^{7} + 55 x^{6} - 81 x^{5} + 75 x^{4} - 40 x^{3} + 15 x^{2} - 5 x + 1$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 5^{10}\cdot 83$ |
$3$ |
$13.5425924836$ |
$100.96678967245151$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$35.2179166248$ |
10.0.212534053888.1 |
$x^{10} - 2 x^{9} + 3 x^{8} - 2 x^{7} + 4 x^{6} + 2 x^{5} + 10 x^{3} + 11 x^{2} + 16 x + 13$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 13^{6}\cdot 43$ |
$3$ |
$13.5750942215$ |
$101.36825885408737$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$65.5805103584$ |
10.2.213110596701.1 |
$x^{10} - x^{9} + x^{8} - 6 x^{7} + 3 x^{6} + 4 x^{5} + 12 x^{4} - 6 x^{3} - 7 x^{2} - 17 x + 15$ |
$10$ |
[2,4] |
$3^{4}\cdot 17^{6}\cdot 109$ |
$3$ |
$13.5787722605$ |
$151.39466362064607$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$90.6870358408$ |
10.0.217476706304.1 |
$x^{10} - 4 x^{9} + 5 x^{8} - 8 x^{7} + 18 x^{6} - 16 x^{5} + 18 x^{4} - 8 x^{3} + 5 x^{2} - 4 x + 1$ |
$10$ |
[0,5] |
$-\,2^{12}\cdot 11\cdot 13^{6}$ |
$3$ |
$13.60633861$ |
$66.48908403667086$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$46.899645029$ |
10.0.217500000000.1 |
$x^{10} - 5 x^{8} - 10 x^{7} + 10 x^{6} + 34 x^{5} + 10 x^{4} - 30 x^{3} - 15 x^{2} + 10 x + 7$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 3\cdot 5^{10}\cdot 29$ |
$4$ |
$13.606484339$ |
$103.37109763955966$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$134.068784478$ |
10.0.221183695616.1 |
$x^{10} - x^{9} + 5 x^{8} + 2 x^{7} + 3 x^{6} + 11 x^{5} + 11 x^{4} + 4 x^{3} + 15 x^{2} + 7 x + 1$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 13^{6}\cdot 179$ |
$3$ |
$13.6293552318$ |
$159.48066071924708$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$42.4354633$ |
10.0.224841455235.1 |
$x^{10} - 2 x^{9} + 4 x^{8} - 3 x^{7} + 2 x^{6} + x^{5} + 2 x^{4} - 3 x^{3} + 4 x^{2} - 2 x + 1$ |
$10$ |
[0,5] |
$-\,3^{4}\cdot 5\cdot 17^{6}\cdot 23$ |
$4$ |
$13.6517283783$ |
$155.50567351144323$ |
|
|
✓ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$32.8379118041$ |
10.0.227500000000.1 |
$x^{10} - 5 x^{9} + 15 x^{8} - 20 x^{7} + 15 x^{6} - 5 x^{5} + 15 x^{4} - 20 x^{3} + 15 x^{2} - 5 x + 1$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 5^{10}\cdot 7\cdot 13$ |
$4$ |
$13.6677850489$ |
$105.72074081112794$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$87.0825214358$ |
10.2.243425631488.1 |
$x^{10} - 5 x^{9} + 9 x^{8} - 6 x^{7} + x^{6} - 3 x^{5} - x^{4} - 6 x^{3} - 9 x^{2} - 5 x - 1$ |
$10$ |
[2,4] |
$2^{8}\cdot 13^{6}\cdot 197$ |
$3$ |
$13.7605765464$ |
$167.30719722017756$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$72.7941648194$ |
10.0.260724914944.1 |
$x^{10} - 5 x^{9} + 15 x^{8} - 28 x^{7} + 39 x^{6} - 37 x^{5} + 29 x^{4} - 8 x^{3} + 3 x^{2} + 3 x + 1$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 13^{6}\cdot 211$ |
$3$ |
$13.8553740063$ |
$173.15009669282406$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$41.6932394149$ |
10.0.260724914944.2 |
$x^{10} - 4 x^{9} + 11 x^{8} - 18 x^{7} + 10 x^{6} + 4 x^{5} - 10 x^{3} + x^{2} + 4 x + 5$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 13^{6}\cdot 211$ |
$3$ |
$13.8553740063$ |
$173.15009669282406$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$63.0293174786$ |
10.0.262451171875.1 |
$x^{10} + 10 x^{6} - 6 x^{5} + 5 x^{4} + 15 x^{2} - 5 x + 6$ |
$10$ |
[0,5] |
$-\,5^{14}\cdot 43$ |
$2$ |
$13.8645204167$ |
$79.45801922460754$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$177.258012006$ |
10.0.271845882880.1 |
$x^{10} - 4 x^{9} + 11 x^{8} - 20 x^{7} + 16 x^{6} - 6 x^{5} + 16 x^{4} - 20 x^{3} + 11 x^{2} - 4 x + 1$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 5\cdot 11\cdot 13^{6}$ |
$4$ |
$13.9133681248$ |
$114.64341223591194$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$73.2475793442$ |
10.0.290380829440.1 |
$x^{10} - x^{9} + 3 x^{8} + 3 x^{6} + x^{5} + 5 x^{4} - 4 x^{3} - x^{2} + 3 x + 1$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 5\cdot 13^{6}\cdot 47$ |
$4$ |
$14.0054411872$ |
$182.7323510375198$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$51.6383525306$ |
10.0.295323481856.1 |
$x^{10} - 5 x^{9} + 14 x^{8} - 26 x^{7} + 39 x^{6} - 47 x^{5} + 48 x^{4} - 38 x^{3} + 24 x^{2} - 10 x + 2$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 13^{6}\cdot 239$ |
$3$ |
$14.0290995835$ |
$184.28095797140898$ |
|
|
✓ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$107.910754106$ |
10.2.314778037329.1 |
$x^{10} - x^{9} - 4 x^{8} - 2 x^{7} + 15 x^{6} + x^{5} - 3 x^{4} - 14 x^{3} + x^{2} - 4 x + 1$ |
$10$ |
[2,4] |
$3^{4}\cdot 7\cdot 17^{6}\cdot 23$ |
$4$ |
$14.1188863478$ |
$183.99679424366775$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$56.9712403218$ |
10.0.316329754624.1 |
$x^{10} + 2 x^{8} - 4 x^{6} + 8 x^{2} + 4$ |
$10$ |
[0,5] |
$-\,2^{16}\cdot 13^{6}$ |
$2$ |
$14.1258309465$ |
$34.603109662192075$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$76.8693294589$ |
10.2.321272407040.1 |
$x^{10} - 2 x^{9} + x^{8} - 8 x^{7} + 6 x^{6} - 16 x^{5} + 6 x^{4} - 8 x^{3} + x^{2} - 2 x + 1$ |
$10$ |
[2,4] |
$2^{10}\cdot 5\cdot 13^{7}$ |
$3$ |
$14.1477488849$ |
$47.63165594961025$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$100.059355752$ |
10.2.323486328125.1 |
$x^{10} - 5 x^{9} + 5 x^{8} + 10 x^{7} - 20 x^{6} + 4 x^{5} + 15 x^{4} - 15 x^{3} + 5 x - 4$ |
$10$ |
[2,4] |
$5^{14}\cdot 53$ |
$2$ |
$14.1574681422$ |
$88.21479749995534$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$185.47080037$ |
10.0.331157711872.1 |
$x^{10} - 4 x^{9} + 9 x^{8} - 18 x^{7} + 36 x^{6} - 56 x^{5} + 68 x^{4} - 76 x^{3} + 79 x^{2} - 56 x + 19$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 13^{6}\cdot 67$ |
$3$ |
$14.1906891655$ |
$126.53339494013912$ |
|
|
✓ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$70.0771733251$ |
10.0.334329468219.1 |
$x^{10} + 2 x^{8} - 6 x^{7} - 9 x^{6} + 3 x^{5} + 12 x^{4} + 18 x^{3} - 9 x^{2} - 18 x + 9$ |
$10$ |
[0,5] |
$-\,3^{6}\cdot 17^{6}\cdot 19$ |
$3$ |
$14.2042224715$ |
$83.18680272289602$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$71.2145167072$ |