Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Unit group torsion |
Unit group rank |
Regulator |
10.0.38305556224.1 |
x10 - 3x9 + 2x8 - 2x7 + 9x6 - 7x5 - 8x3 + 8x2 + 4x + 4 |
$10$ |
[0,5] |
$-\,2^{8}\cdot 13^{6}\cdot 31$ |
$3$ |
$11.4373701711$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$41.7926601087$ |
10.2.50662187264.1 |
x10 - x9 - 2x8 + 2x7 + x6 - 3x5 + 2x4 + 6x3 + 2x2 - 4x - 2 |
$10$ |
[2,4] |
$2^{8}\cdot 13^{6}\cdot 41$ |
$3$ |
$11.7616538442$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$54.6640423014$ |
10.0.68430008115.1 |
x10 - 3x9 + 4x8 - 2x7 + 3x5 - x4 - 6x3 + 9x2 - 5x + 1 |
$10$ |
[0,5] |
$-\,3^{4}\cdot 5\cdot 7\cdot 17^{6}$ |
$4$ |
$12.1206150742$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$35.6964234794$ |
10.0.70000000000.1 |
x10 + 5x8 + 10x6 - 4x5 + 10x4 + 5x2 + 1 |
$10$ |
[0,5] |
$-\,2^{10}\cdot 5^{10}\cdot 7$ |
$3$ |
$12.1481404404$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$50.7501996678$ |
10.0.72904123136.1 |
x10 - 4x9 + 9x8 - 14x7 + 20x6 - 24x5 + 22x4 - 14x3 + 11x2 - 4x + 1 |
$10$ |
[0,5] |
$-\,2^{8}\cdot 13^{6}\cdot 59$ |
$3$ |
$12.1976230808$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$16.8930451839$ |
10.2.95146059008.1 |
x10 - 3x9 + 3x8 + 2x7 - 3x6 + 11x5 - 3x4 + 2x3 + 3x2 - 3x + 1 |
$10$ |
[2,4] |
$2^{8}\cdot 7\cdot 11\cdot 13^{6}$ |
$4$ |
$12.5267693331$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$34.5929840028$ |
10.2.98853048320.1 |
x10 - x8 - 4x7 + 6x6 - 6x4 - 4x3 + x2 - 1 |
$10$ |
[2,4] |
$2^{12}\cdot 5\cdot 13^{6}$ |
$3$ |
$12.5747397808$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$59.522185836$ |
10.2.105031363840.1 |
x10 - x9 - x8 + 2x7 - x6 - 3x5 + x4 + 2x3 + x2 - x - 1 |
$10$ |
[2,4] |
$2^{8}\cdot 5\cdot 13^{6}\cdot 17$ |
$4$ |
$12.6512052153$ |
|
|
✓ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$43.8146310423$ |
10.0.112445342464.1 |
x10 - x9 - x8 + 2x7 + 5x6 + x5 + 5x4 + 2x3 - x2 - x + 1 |
$10$ |
[0,5] |
$-\,2^{8}\cdot 7\cdot 13^{7}$ |
$3$ |
$12.7377918326$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$36.1834816564$ |
10.0.113681005568.1 |
x10 - 4x9 + 6x8 - 6x7 + 6x6 - 8x5 + 10x4 - 6x3 + 8x2 - 2x + 2 |
$10$ |
[0,5] |
$-\,2^{10}\cdot 13^{6}\cdot 23$ |
$3$ |
$12.7517206652$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$41.6674565401$ |
10.0.117387994880.1 |
x10 - x9 + 2x8 + 2x7 + x6 + x5 - 4x4 + 12x3 - 8x + 8 |
$10$ |
[0,5] |
$-\,2^{8}\cdot 5\cdot 13^{6}\cdot 19$ |
$4$ |
$12.7927045075$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$83.143831444$ |
10.0.117500000000.1 |
x10 - 5x8 - 10x7 + 10x6 + 24x5 + 20x4 + 10x3 + 5x2 + 1 |
$10$ |
[0,5] |
$-\,2^{8}\cdot 5^{10}\cdot 47$ |
$3$ |
$12.7939245927$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$77.1153164745$ |
10.0.120000000000.1 |
x10 - 5x8 + 10x6 - 10x4 + 5x2 + 3 |
$10$ |
[0,5] |
$-\,2^{12}\cdot 3\cdot 5^{10}$ |
$3$ |
$12.8208885399$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$47.7181793491$ |
10.2.130000000000.1 |
x10 - 5x8 + 10x6 - 2x5 - 10x4 + 10x3 + 5x2 - 10x + 3 |
$10$ |
[2,4] |
$2^{10}\cdot 5^{10}\cdot 13$ |
$3$ |
$12.9239222078$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$93.2078235614$ |
10.0.138394267648.1 |
x10 - 2x9 + 2x8 - 2x7 - 2x6 + 4x5 - 2x4 - 2x3 + 12x2 - 8x + 10 |
$10$ |
[0,5] |
$-\,2^{12}\cdot 7\cdot 13^{6}$ |
$3$ |
$13.0050435298$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$57.5565135752$ |
10.0.140380859375.1 |
x10 + 5x8 + 15x6 - 6x5 + 20x4 - 15x3 + 20x2 - 20x + 7 |
$10$ |
[0,5] |
$-\,5^{14}\cdot 23$ |
$2$ |
$13.0235922216$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$56.9989310588$ |
10.0.146484375000.1 |
x10 - 5x9 + 20x8 - 45x7 + 80x6 - 90x5 + 80x4 - 45x3 + 20x2 - 5x + 1 |
$10$ |
[0,5] |
$-\,2^{3}\cdot 3\cdot 5^{14}$ |
$3$ |
$13.0791382449$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$79.0647393989$ |
10.0.147500000000.1 |
x10 + 5x8 + 10x6 - 2x5 + 5x2 + 10x + 7 |
$10$ |
[0,5] |
$-\,2^{8}\cdot 5^{10}\cdot 59$ |
$3$ |
$13.0881782783$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$43.2666642411$ |
10.0.154456304031.1 |
x10 - 3x9 + 9x8 - 14x7 + 27x6 - 33x5 + 44x4 - 39x3 + 33x2 - 27x + 9 |
$10$ |
[0,5] |
$-\,3^{4}\cdot 17^{6}\cdot 79$ |
$3$ |
$13.1486317943$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$32.6542143319$ |
10.2.170898437500.1 |
x10 - 5x9 + 10x8 - 5x7 - 15x6 + 37x5 - 45x4 + 40x3 - 25x2 + 10x - 2 |
$10$ |
[2,4] |
$2^{2}\cdot 5^{14}\cdot 7$ |
$3$ |
$13.2823160265$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$68.63808393$ |
10.0.172992834560.1 |
x10 - 2x9 - x8 + 10x7 - 12x6 - 2x5 + 24x4 - 26x3 + 11x2 + 4x + 1 |
$10$ |
[0,5] |
$-\,2^{10}\cdot 5\cdot 7\cdot 13^{6}$ |
$4$ |
$13.2985047113$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$55.2479344075$ |
10.0.176699823872.1 |
x10 - 2x9 + 4x8 - 8x7 + 14x6 - 16x5 + 24x4 - 40x3 + 40x2 - 20x + 4 |
$10$ |
[0,5] |
$-\,2^{8}\cdot 11\cdot 13^{7}$ |
$3$ |
$13.3267303889$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$97.1061326992$ |
10.2.182500000000.1 |
x10 - 5x8 - 22x5 - 10x4 - 25x2 - 10x - 1 |
$10$ |
[2,4] |
$2^{8}\cdot 5^{10}\cdot 73$ |
$3$ |
$13.3698423671$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$114.928188959$ |
10.2.182878139392.1 |
x10 - 4x9 + x8 + 8x7 - 8x6 + 4x5 + 4x4 - 4x3 + 9x2 - 6x + 5 |
$10$ |
[2,4] |
$2^{10}\cdot 13^{6}\cdot 37$ |
$3$ |
$13.3726100144$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$92.1938217042$ |
10.0.186585128704.1 |
x10 - x9 - 4x8 + 2x7 + 9x6 + 9x5 - 30x4 - 8x3 + 44x2 - 24x + 4 |
$10$ |
[0,5] |
$-\,2^{8}\cdot 13^{6}\cdot 151$ |
$3$ |
$13.3994725281$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$95.5108528947$ |
10.0.193559165811.1 |
x10 - x9 + x8 + 4x7 - 5x6 + 10x5 + 2x4 - 21x3 + 41x2 - 30x + 7 |
$10$ |
[0,5] |
$-\,3^{6}\cdot 11\cdot 17^{6}$ |
$3$ |
$13.4487330813$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$47.0122268782$ |
10.2.197469451989.1 |
x10 - x7 + 4x6 - 3x5 - 4x4 - x3 - 1 |
$10$ |
[2,4] |
$3^{4}\cdot 17^{6}\cdot 101$ |
$3$ |
$13.4756583613$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$57.0883669314$ |
10.0.201413085952.1 |
x10 - 2x9 - 2x8 + 6x7 - 4x6 - 2x5 + 4x4 + 16x2 + 4x + 4 |
$10$ |
[0,5] |
$-\,2^{8}\cdot 13^{6}\cdot 163$ |
$3$ |
$13.5023315644$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$52.5662828316$ |
10.2.205290024345.1 |
x10 - x9 + 2x8 - x7 - 8x5 + 4x4 + 10x3 - 6x2 - x + 1 |
$10$ |
[2,4] |
$3^{5}\cdot 5\cdot 7\cdot 17^{6}$ |
$4$ |
$13.5280993679$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$68.0921597385$ |
10.0.207500000000.1 |
x10 - 5x9 + 15x8 - 30x7 + 55x6 - 81x5 + 75x4 - 40x3 + 15x2 - 5x + 1 |
$10$ |
[0,5] |
$-\,2^{8}\cdot 5^{10}\cdot 83$ |
$3$ |
$13.5425924836$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$35.2179166248$ |
10.0.212534053888.1 |
x10 - 2x9 + 3x8 - 2x7 + 4x6 + 2x5 + 10x3 + 11x2 + 16x + 13 |
$10$ |
[0,5] |
$-\,2^{10}\cdot 13^{6}\cdot 43$ |
$3$ |
$13.5750942215$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$65.5805103584$ |
10.2.213110596701.1 |
x10 - x9 + x8 - 6x7 + 3x6 + 4x5 + 12x4 - 6x3 - 7x2 - 17x + 15 |
$10$ |
[2,4] |
$3^{4}\cdot 17^{6}\cdot 109$ |
$3$ |
$13.5787722605$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$90.6870358408$ |
10.0.217476706304.1 |
x10 - 4x9 + 5x8 - 8x7 + 18x6 - 16x5 + 18x4 - 8x3 + 5x2 - 4x + 1 |
$10$ |
[0,5] |
$-\,2^{12}\cdot 11\cdot 13^{6}$ |
$3$ |
$13.60633861$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$46.899645029$ |
10.0.217500000000.1 |
x10 - 5x8 - 10x7 + 10x6 + 34x5 + 10x4 - 30x3 - 15x2 + 10x + 7 |
$10$ |
[0,5] |
$-\,2^{8}\cdot 3\cdot 5^{10}\cdot 29$ |
$4$ |
$13.606484339$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$134.068784478$ |
10.0.221183695616.1 |
x10 - x9 + 5x8 + 2x7 + 3x6 + 11x5 + 11x4 + 4x3 + 15x2 + 7x + 1 |
$10$ |
[0,5] |
$-\,2^{8}\cdot 13^{6}\cdot 179$ |
$3$ |
$13.6293552318$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$42.4354633$ |
10.0.224841455235.1 |
x10 - 2x9 + 4x8 - 3x7 + 2x6 + x5 + 2x4 - 3x3 + 4x2 - 2x + 1 |
$10$ |
[0,5] |
$-\,3^{4}\cdot 5\cdot 17^{6}\cdot 23$ |
$4$ |
$13.6517283783$ |
|
|
✓ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$32.8379118041$ |
10.0.227500000000.1 |
x10 - 5x9 + 15x8 - 20x7 + 15x6 - 5x5 + 15x4 - 20x3 + 15x2 - 5x + 1 |
$10$ |
[0,5] |
$-\,2^{8}\cdot 5^{10}\cdot 7\cdot 13$ |
$4$ |
$13.6677850489$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$87.0825214358$ |
10.2.243425631488.1 |
x10 - 5x9 + 9x8 - 6x7 + x6 - 3x5 - x4 - 6x3 - 9x2 - 5x - 1 |
$10$ |
[2,4] |
$2^{8}\cdot 13^{6}\cdot 197$ |
$3$ |
$13.7605765464$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$72.7941648194$ |
10.0.260724914944.1 |
x10 - 5x9 + 15x8 - 28x7 + 39x6 - 37x5 + 29x4 - 8x3 + 3x2 + 3x + 1 |
$10$ |
[0,5] |
$-\,2^{8}\cdot 13^{6}\cdot 211$ |
$3$ |
$13.8553740063$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$41.6932394149$ |
10.0.260724914944.2 |
x10 - 4x9 + 11x8 - 18x7 + 10x6 + 4x5 - 10x3 + x2 + 4x + 5 |
$10$ |
[0,5] |
$-\,2^{8}\cdot 13^{6}\cdot 211$ |
$3$ |
$13.8553740063$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$63.0293174786$ |
10.0.262451171875.1 |
x10 + 10x6 - 6x5 + 5x4 + 15x2 - 5x + 6 |
$10$ |
[0,5] |
$-\,5^{14}\cdot 43$ |
$2$ |
$13.8645204167$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$177.258012006$ |
10.0.271845882880.1 |
x10 - 4x9 + 11x8 - 20x7 + 16x6 - 6x5 + 16x4 - 20x3 + 11x2 - 4x + 1 |
$10$ |
[0,5] |
$-\,2^{10}\cdot 5\cdot 11\cdot 13^{6}$ |
$4$ |
$13.9133681248$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$73.2475793442$ |
10.0.290380829440.1 |
x10 - x9 + 3x8 + 3x6 + x5 + 5x4 - 4x3 - x2 + 3x + 1 |
$10$ |
[0,5] |
$-\,2^{8}\cdot 5\cdot 13^{6}\cdot 47$ |
$4$ |
$14.0054411872$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$51.6383525306$ |
10.0.295323481856.1 |
x10 - 5x9 + 14x8 - 26x7 + 39x6 - 47x5 + 48x4 - 38x3 + 24x2 - 10x + 2 |
$10$ |
[0,5] |
$-\,2^{8}\cdot 13^{6}\cdot 239$ |
$3$ |
$14.0290995835$ |
|
|
✓ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$107.910754106$ |
10.2.314778037329.1 |
x10 - x9 - 4x8 - 2x7 + 15x6 + x5 - 3x4 - 14x3 + x2 - 4x + 1 |
$10$ |
[2,4] |
$3^{4}\cdot 7\cdot 17^{6}\cdot 23$ |
$4$ |
$14.1188863478$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$56.9712403218$ |
10.0.316329754624.1 |
x10 + 2x8 - 4x6 + 8x2 + 4 |
$10$ |
[0,5] |
$-\,2^{16}\cdot 13^{6}$ |
$2$ |
$14.1258309465$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$76.8693294589$ |
10.2.321272407040.1 |
x10 - 2x9 + x8 - 8x7 + 6x6 - 16x5 + 6x4 - 8x3 + x2 - 2x + 1 |
$10$ |
[2,4] |
$2^{10}\cdot 5\cdot 13^{7}$ |
$3$ |
$14.1477488849$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$100.059355752$ |
10.2.323486328125.1 |
x10 - 5x9 + 5x8 + 10x7 - 20x6 + 4x5 + 15x4 - 15x3 + 5x - 4 |
$10$ |
[2,4] |
$5^{14}\cdot 53$ |
$2$ |
$14.1574681422$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$5$ |
$185.47080037$ |
10.0.331157711872.1 |
x10 - 4x9 + 9x8 - 18x7 + 36x6 - 56x5 + 68x4 - 76x3 + 79x2 - 56x + 19 |
$10$ |
[0,5] |
$-\,2^{10}\cdot 13^{6}\cdot 67$ |
$3$ |
$14.1906891655$ |
|
|
✓ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$70.0771733251$ |
10.0.334329468219.1 |
x10 + 2x8 - 6x7 - 9x6 + 3x5 + 12x4 + 18x3 - 9x2 - 18x + 9 |
$10$ |
[0,5] |
$-\,3^{6}\cdot 17^{6}\cdot 19$ |
$3$ |
$14.2042224715$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
$2$ |
$4$ |
$71.2145167072$ |