| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Narrow class group |
Unit group torsion |
Unit group rank |
Regulator |
Unit signature rank |
Max $p$ |
| 10.0.592440064.1 |
$x^{10} - x^{9} + 3 x^{8} - 4 x^{7} + 5 x^{6} - 7 x^{5} + 7 x^{4} - 6 x^{3} + 5 x^{2} - 3 x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 19\cdot 349^{2}$ |
$3$ |
$7.5381442181$ |
$141.77952286935127$ |
|
|
✓ |
$C_2 \wr S_5$ (as 10T39) |
trivial |
trivial |
$2$ |
$4$ |
$1.22778512725$ |
$0$ |
$349$ |
| 10.0.844632832.1 |
$x^{10} + x^{8} - 2 x^{5} - 2 x^{4} + 3 x^{2} + 2 x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 43\cdot 277^{2}$ |
$3$ |
$7.81028345662$ |
$190.01947281110614$ |
|
|
? |
$C_2 \wr S_5$ (as 10T39) |
trivial |
trivial |
$2$ |
$4$ |
$1.56301766356$ |
$0$ |
$277$ |
| 10.0.1218505472.1 |
$x^{10} + x^{8} - 2 x^{7} + 2 x^{4} + 2 x^{3} - x^{2} + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 4759787$ |
$2$ |
$8.10182295215$ |
$3798.549199091892$ |
|
|
? |
$S_{10}$ (as 10T45) |
trivial |
trivial |
$2$ |
$4$ |
$1.9910892944667196$ |
$0$ |
$4759787$ |
| 10.0.1316055808.1 |
$x^{10} - 3 x^{9} + 5 x^{8} - 8 x^{7} + 11 x^{6} - 11 x^{5} + 11 x^{4} - 8 x^{3} + 5 x^{2} - 3 x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 67\cdot 277^{2}$ |
$3$ |
$8.16445934142$ |
$237.19268014787673$ |
|
|
✓ |
$C_2 \wr S_5$ (as 10T39) |
trivial |
trivial |
$2$ |
$4$ |
$1.98938506383$ |
$0$ |
$277$ |
| 10.0.1533364992.1 |
$x^{10} - 3 x^{9} + 3 x^{8} + 2 x^{7} - 7 x^{6} + 7 x^{5} + x^{4} - 10 x^{3} + 11 x^{2} - 5 x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 3^{5}\cdot 157^{2}$ |
$3$ |
$8.29019134125$ |
$37.7863071184893$ |
|
|
? |
$D_5^2 : C_2$ (as 10T21) |
trivial |
trivial |
$6$ |
$4$ |
$6.84425139977$ |
$0$ |
$157$ |
| 10.0.1630337792.1 |
$x^{10} - x^{9} + x^{8} - 2 x^{7} + 3 x^{6} - 3 x^{5} + 7 x^{4} - 12 x^{3} + 11 x^{2} - 5 x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 83\cdot 277^{2}$ |
$3$ |
$8.34118511558$ |
$263.9993923502119$ |
|
|
✓ |
$C_2 \wr S_5$ (as 10T39) |
trivial |
trivial |
$2$ |
$4$ |
$2.26697305708$ |
$0$ |
$277$ |
| 10.0.1630409472.1 |
$x^{10} - 3 x^{9} + x^{8} + 4 x^{7} - x^{6} - 5 x^{5} + 3 x^{4} - x^{2} + x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 3^{5}\cdot 26209$ |
$3$ |
$8.341221788$ |
$488.2135730907388$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
trivial |
$6$ |
$4$ |
$7.41294558758$ |
$0$ |
$26209$ |
| 10.0.1657314048.1 |
$x^{10} - x^{9} + x^{8} - x^{6} + 3 x^{5} - x^{4} + x^{2} - x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 3\cdot 13^{2}\cdot 113^{2}$ |
$4$ |
$8.35488509032$ |
$115.58341497473869$ |
|
|
✓ |
$C_2 \wr S_5$ (as 10T39) |
trivial |
trivial |
$2$ |
$4$ |
$2.87782618876$ |
$0$ |
$113$ |
| 10.0.1780628224.1 |
$x^{10} - x^{9} + x^{8} - x^{6} + x^{5} + x^{4} - 2 x^{3} + 3 x^{2} - 3 x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 97\cdot 71707$ |
$3$ |
$8.41506210073$ |
$4591.881165703622$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
trivial |
$2$ |
$4$ |
$2.451828255756196$ |
$0$ |
$71707$ |
| 10.0.1788748544.1 |
$x^{10} - 2 x^{9} + 3 x^{8} - 4 x^{7} + 8 x^{6} - 8 x^{5} + 8 x^{4} - 4 x^{3} + 3 x^{2} - 2 x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 11\cdot 797^{2}$ |
$3$ |
$8.41889182606$ |
$163.02323232347382$ |
|
|
? |
$C_2 \wr S_5$ (as 10T39) |
trivial |
trivial |
$2$ |
$4$ |
$2.50439494065$ |
$0$ |
$797$ |
| 10.0.1861823232.1 |
$x^{10} - x^{9} - 3 x^{8} + 2 x^{7} + 5 x^{6} - 3 x^{5} - 3 x^{4} + 2 x^{3} + x^{2} + x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 3^{5}\cdot 173^{2}$ |
$3$ |
$8.45266864665$ |
$39.66501980382454$ |
|
|
? |
$S_5\times C_2$ (as 10T22) |
trivial |
trivial |
$6$ |
$4$ |
$9.31083546094$ |
$0$ |
$173$ |
| 10.0.1906612992.1 |
$x^{10} - 3 x^{9} + 5 x^{8} - 4 x^{7} + x^{6} + 3 x^{5} - 5 x^{4} + 4 x^{3} + x^{2} - 3 x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 3^{5}\cdot 30649$ |
$3$ |
$8.47278633911$ |
$527.9499808522235$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
trivial |
$6$ |
$4$ |
$7.94076492543$ |
$0$ |
$30649$ |
| 10.0.1996937984.1 |
$x^{10} - x^{9} - 3 x^{8} + 2 x^{7} + 5 x^{6} - x^{5} - 5 x^{4} - 2 x^{3} + 3 x^{2} + 3 x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 79\cdot 293\cdot 337$ |
$4$ |
$8.51209491812$ |
$4862.798821668536$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
trivial |
$2$ |
$4$ |
$3.2212625477909684$ |
$0$ |
$337$ |
| 10.2.2012998912.1 |
$x^{10} - x^{9} - x^{8} + x^{6} + x^{5} - x^{4} + x^{2} - x - 1$ |
$10$ |
(2, 4) |
$2^{8}\cdot 37\cdot 461^{2}$ |
$3$ |
$8.51891635449$ |
$227.39207319063635$ |
|
|
✓ |
$C_2 \wr S_5$ (as 10T39) |
trivial |
trivial |
$2$ |
$5$ |
$3.30079087199$ |
$2$ |
$461$ |
| 10.2.2089037056.1 |
$x^{10} - x^{9} - x^{8} - x^{6} + x^{5} - x^{4} + 2 x^{3} + x^{2} - 3 x + 1$ |
$10$ |
(2, 4) |
$2^{8}\cdot 353\cdot 23117$ |
$3$ |
$8.55056109378$ |
$4973.671362969485$ |
|
|
? |
$S_{10}$ (as 10T45) |
trivial |
trivial |
$2$ |
$5$ |
$3.3791541580870774$ |
$2$ |
$23117$ |
| 10.0.2310763264.1 |
$x^{10} - x^{9} + 3 x^{8} - 4 x^{7} + 3 x^{6} - 3 x^{5} - x^{4} + 2 x^{3} - x^{2} + x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 23\cdot 601\cdot 653$ |
$4$ |
$8.63725109958$ |
$5230.964120420675$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
trivial |
$2$ |
$4$ |
$2.8328396222576275$ |
$0$ |
$653$ |
| 10.2.2367112448.1 |
$x^{10} - x^{8} - 2 x^{7} + 4 x^{5} + 2 x^{4} + 2 x^{3} - x^{2} - 1$ |
$10$ |
(2, 4) |
$2^{8}\cdot 307\cdot 30119$ |
$3$ |
$8.65808587281$ |
$5294.359876488392$ |
|
|
? |
$S_{10}$ (as 10T45) |
trivial |
trivial |
$2$ |
$5$ |
$3.6507376354279666$ |
$2$ |
$30119$ |
| 10.0.2374163200.1 |
$x^{10} - x^{9} + x^{8} - 2 x^{7} + 3 x^{6} - x^{5} - x^{4} - x^{2} + x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 5^{2}\cdot 409\cdot 907$ |
$4$ |
$8.66066134595$ |
$3100.768167722313$ |
|
|
? |
$S_{10}$ (as 10T45) |
trivial |
trivial |
$2$ |
$4$ |
$3.247514666642855$ |
$0$ |
$907$ |
| 10.0.2463499008.1 |
$x^{10} - 3 x^{9} + 9 x^{8} - 16 x^{7} + 25 x^{6} - 31 x^{5} + 31 x^{4} - 26 x^{3} + 15 x^{2} - 5 x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 3^{5}\cdot 199^{2}$ |
$3$ |
$8.69271095934$ |
$42.54133966406577$ |
|
|
✓ |
$S_5\times C_2$ (as 10T22) |
trivial |
trivial |
$6$ |
$4$ |
$8.80533022699$ |
$0$ |
$199$ |
| 10.0.2582061824.1 |
$x^{10} - 3 x^{9} + 5 x^{8} - 6 x^{7} + 5 x^{6} - x^{5} - x^{4} + x^{2} - x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 10086179$ |
$2$ |
$8.73366769743$ |
$5529.518713792238$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
trivial |
$2$ |
$4$ |
$3.3129905088861697$ |
$0$ |
$10086179$ |
| 10.2.2589322496.1 |
$x^{10} - 2 x^{9} + x^{8} + 2 x^{7} - 2 x^{6} + 4 x^{4} - 2 x^{3} + x^{2} + 2 x - 1$ |
$10$ |
(2, 4) |
$2^{8}\cdot 17\cdot 47\cdot 12659$ |
$4$ |
$8.73612047364$ |
$5537.287667504488$ |
|
|
? |
$S_{10}$ (as 10T45) |
trivial |
trivial |
$2$ |
$5$ |
$3.8644989000536523$ |
$2$ |
$12659$ |
| 10.2.2600946944.1 |
$x^{10} - 3 x^{9} + x^{8} + 6 x^{7} - 7 x^{6} - 3 x^{5} + 9 x^{4} - 4 x^{3} - 3 x^{2} + 3 x - 1$ |
$10$ |
(2, 4) |
$2^{8}\cdot 10159949$ |
$2$ |
$8.74003454773$ |
$5549.703237867905$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
trivial |
$2$ |
$5$ |
$3.8822086452978932$ |
$2$ |
$10159949$ |
| 10.0.2632704768.1 |
$x^{10} - x^{9} + x^{8} - 3 x^{6} - x^{5} - x^{4} + 3 x^{2} + 3 x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 3^{6}\cdot 14107$ |
$3$ |
$8.75064803138$ |
$471.39206828290946$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
trivial |
$6$ |
$4$ |
$11.5249868166$ |
$0$ |
$14107$ |
| 10.2.2847956224.1 |
$x^{10} - 3 x^{9} + 5 x^{8} - 6 x^{7} + 7 x^{6} - 7 x^{5} + 7 x^{4} - 4 x^{3} + 3 x^{2} - 3 x + 1$ |
$10$ |
(2, 4) |
$2^{8}\cdot 11124829$ |
$2$ |
$8.81969021124$ |
$5807.251951636902$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
trivial |
$2$ |
$5$ |
$4.111258689152472$ |
$2$ |
$11124829$ |
| 10.2.2926750976.1 |
$x^{10} - x^{9} + x^{8} + 2 x^{7} - 3 x^{6} + x^{5} + 3 x^{4} - 4 x^{3} - x^{2} + 3 x - 1$ |
$10$ |
(2, 4) |
$2^{8}\cdot 149\cdot 277^{2}$ |
$3$ |
$8.84379317031$ |
$353.71788150893263$ |
|
|
✓ |
$C_2 \wr S_5$ (as 10T39) |
trivial |
trivial |
$2$ |
$5$ |
$4.14200154751$ |
$2$ |
$277$ |
| 10.2.2954315008.1 |
$x^{10} - x^{9} - 3 x^{8} + 4 x^{7} + 5 x^{6} - 7 x^{5} - 7 x^{4} + 4 x^{3} + 5 x^{2} - x - 1$ |
$10$ |
(2, 4) |
$2^{8}\cdot 11540293$ |
$2$ |
$8.85208713178$ |
$5914.695813392939$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
trivial |
$2$ |
$5$ |
$4.179118511562995$ |
$2$ |
$11540293$ |
| 10.2.2976800000.1 |
$x^{10} - x^{9} - x^{8} + 4 x^{7} - 3 x^{6} - 3 x^{5} + 7 x^{4} - 2 x^{3} - 3 x^{2} + 3 x - 1$ |
$10$ |
(2, 4) |
$2^{8}\cdot 5^{5}\cdot 61^{2}$ |
$3$ |
$8.85880140178$ |
$30.407023951240983$ |
|
|
✓ |
$D_5^2 : C_2$ (as 10T21) |
trivial |
trivial |
$2$ |
$5$ |
$4.24871659608$ |
$2$ |
$61$ |
| 10.0.3038300928.1 |
$x^{10} - 3 x^{9} + 5 x^{8} - 6 x^{7} + 5 x^{6} - 3 x^{5} + x^{4} + x^{2} - 3 x + 3$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 3^{5}\cdot 13^{2}\cdot 17^{2}$ |
$4$ |
$8.87693579289$ |
$44.83124097315161$ |
|
|
? |
$S_5\times C_2$ (as 10T22) |
trivial |
trivial |
$6$ |
$4$ |
$12.6890846562$ |
$0$ |
$17$ |
| 10.2.3090482432.1 |
$x^{10} - x^{9} - x^{8} - 2 x^{7} + 3 x^{6} - x^{5} + x^{4} - 4 x^{3} + 3 x^{2} + x - 1$ |
$10$ |
(2, 4) |
$2^{8}\cdot 12072197$ |
$2$ |
$8.89206498432$ |
$6049.467577742214$ |
|
|
? |
$S_{10}$ (as 10T45) |
trivial |
trivial |
$2$ |
$5$ |
$4.326597742284493$ |
$2$ |
$12072197$ |
| 10.2.3137774848.1 |
$x^{10} - x^{9} + x^{8} - 2 x^{7} + x^{6} - x^{5} + x^{4} - 2 x^{3} + x^{2} - x + 1$ |
$10$ |
(2, 4) |
$2^{8}\cdot 13\cdot 971^{2}$ |
$3$ |
$8.90557935242$ |
$195.61641147439934$ |
|
|
✓ |
$C_2 \wr S_5$ (as 10T39) |
trivial |
trivial |
$2$ |
$5$ |
$4.35367511049$ |
$2$ |
$971$ |
| 10.2.3200548096.1 |
$x^{10} - 3 x^{9} + x^{8} + 6 x^{7} - 5 x^{6} - 5 x^{5} + 5 x^{4} + 2 x^{3} - x^{2} - x - 1$ |
$10$ |
(2, 4) |
$2^{8}\cdot 47\cdot 266003$ |
$3$ |
$8.92323716124$ |
$6156.249220190631$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
trivial |
$2$ |
$5$ |
$4.447595955889056$ |
$2$ |
$266003$ |
| 10.0.3366890240.1 |
$x^{10} - x^{9} + x^{8} + x^{6} + 3 x^{5} + x^{4} + x^{2} - x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 5\cdot 7\cdot 613^{2}$ |
$4$ |
$8.96856367458$ |
$255.02822955304612$ |
|
|
? |
$C_2 \wr S_5$ (as 10T39) |
trivial |
trivial |
$2$ |
$4$ |
$4.00722450014$ |
$0$ |
$613$ |
| 10.2.3398173952.1 |
$x^{10} - x^{9} - x^{8} - x^{6} - 3 x^{5} + x^{4} + 8 x^{3} + 9 x^{2} + 5 x + 1$ |
$10$ |
(2, 4) |
$2^{8}\cdot 173\cdot 277^{2}$ |
$3$ |
$8.97686224325$ |
$381.14210888786556$ |
|
|
? |
$C_2 \wr S_5$ (as 10T39) |
trivial |
trivial |
$2$ |
$5$ |
$4.58091813005$ |
$2$ |
$277$ |
| 10.2.3398735104.1 |
$x^{10} - 3 x^{9} + 7 x^{8} - 10 x^{7} + 7 x^{6} + x^{5} - 13 x^{4} + 18 x^{3} - 13 x^{2} + 5 x - 1$ |
$10$ |
(2, 4) |
$2^{8}\cdot 109\cdot 349^{2}$ |
$3$ |
$8.97701047021$ |
$339.5861419628959$ |
|
|
✓ |
$C_2 \wr S_5$ (as 10T39) |
trivial |
trivial |
$2$ |
$5$ |
$4.53134946438$ |
$2$ |
$349$ |
| 10.2.3405929728.1 |
$x^{10} - x^{9} - 3 x^{8} + 2 x^{7} + 3 x^{6} + x^{5} - 3 x^{4} - 2 x^{3} + x^{2} + x + 1$ |
$10$ |
(2, 4) |
$2^{8}\cdot 239\cdot 55667$ |
$3$ |
$8.97890896396$ |
$6350.703770732233$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
trivial |
$2$ |
$5$ |
$4.6075484496342645$ |
$2$ |
$55667$ |
| 10.2.3555314944.1 |
$x^{10} - x^{9} - 3 x^{8} + 2 x^{7} + x^{6} - 3 x^{5} - x^{4} + 2 x^{3} + 3 x^{2} - x - 1$ |
$10$ |
(2, 4) |
$2^{8}\cdot 181\cdot 277^{2}$ |
$3$ |
$9.01753440198$ |
$389.85505382162694$ |
|
|
? |
$C_2 \wr S_5$ (as 10T39) |
trivial |
trivial |
$2$ |
$5$ |
$4.70072864254$ |
$2$ |
$277$ |
| 10.0.3645160192.1 |
$x^{10} - 3 x^{9} + 3 x^{8} + 2 x^{7} - 7 x^{6} + 7 x^{5} - x^{4} - 6 x^{3} + 9 x^{2} - 5 x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 67\cdot 461^{2}$ |
$3$ |
$9.04006726311$ |
$305.9932600231798$ |
|
|
✓ |
$C_2 \wr S_5$ (as 10T39) |
trivial |
trivial |
$2$ |
$4$ |
$3.93730184688$ |
$0$ |
$461$ |
| 10.0.3645160192.2 |
$x^{10} - x^{9} + 3 x^{8} - 2 x^{7} + 7 x^{6} - 5 x^{5} + 7 x^{4} - 2 x^{3} + 5 x^{2} - 3 x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 67\cdot 461^{2}$ |
$3$ |
$9.04006726311$ |
$305.9932600231798$ |
|
|
? |
$C_2 \wr S_5$ (as 10T39) |
trivial |
trivial |
$2$ |
$4$ |
$3.65355131924$ |
$0$ |
$461$ |
| 10.2.3782477056.1 |
$x^{10} + x^{8} - 2 x^{5} + 2 x^{4} - x^{2} + 2 x + 1$ |
$10$ |
(2, 4) |
$2^{8}\cdot 14775301$ |
$2$ |
$9.07355822071$ |
$6692.55833009734$ |
|
|
? |
$S_{10}$ (as 10T45) |
trivial |
trivial |
$2$ |
$5$ |
$4.842336402087949$ |
$2$ |
$14775301$ |
| 10.2.3804114176.1 |
$x^{10} - x^{9} - x^{8} + 5 x^{6} - 3 x^{5} - x^{4} + 3 x^{2} - 5 x + 1$ |
$10$ |
(2, 4) |
$2^{8}\cdot 79^{2}\cdot 2381$ |
$3$ |
$9.07873530743$ |
$755.1222026189395$ |
|
|
? |
$S_{10}$ (as 10T45) |
trivial |
trivial |
$2$ |
$5$ |
$4.926743987328918$ |
$2$ |
$2381$ |
| 10.2.3824747776.1 |
$x^{10} - 3 x^{9} + 5 x^{8} - 8 x^{7} + 9 x^{6} - 7 x^{5} + 3 x^{4} - 3 x^{2} + 3 x - 1$ |
$10$ |
(2, 4) |
$2^{8}\cdot 14940421$ |
$2$ |
$9.08364765546$ |
$6729.850461984998$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
trivial |
$2$ |
$5$ |
$4.8739350722586465$ |
$2$ |
$14940421$ |
| 10.0.4034126592.1 |
$x^{10} - 3 x^{9} + 7 x^{8} - 12 x^{7} + 19 x^{6} - 19 x^{5} + 21 x^{4} - 14 x^{3} + 9 x^{2} - 3 x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 3^{5}\cdot 64849$ |
$3$ |
$9.13219028599$ |
$767.9558722542571$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
trivial |
$6$ |
$4$ |
$12.5323132123$ |
$0$ |
$64849$ |
| 10.2.4093043968.1 |
$x^{10} - x^{9} - 3 x^{8} + 4 x^{7} - x^{6} - 3 x^{5} + 9 x^{4} - 4 x^{3} - 5 x^{2} + 5 x - 1$ |
$10$ |
(2, 4) |
$2^{8}\cdot 13\cdot 1109^{2}$ |
$3$ |
$9.14544076141$ |
$209.05542681011852$ |
|
|
✓ |
$C_2 \wr S_5$ (as 10T39) |
trivial |
trivial |
$2$ |
$5$ |
$5.25970813619$ |
$2$ |
$1109$ |
| 10.2.4198042880.1 |
$x^{10} - x^{9} - 3 x^{8} + 4 x^{7} + 3 x^{6} - 9 x^{5} + 3 x^{4} + 4 x^{3} - 3 x^{2} - x + 1$ |
$10$ |
(2, 4) |
$2^{8}\cdot 5\cdot 1811^{2}$ |
$3$ |
$9.16863506456$ |
$165.67928965173442$ |
|
|
✓ |
$C_2 \wr S_5$ (as 10T39) |
trivial |
trivial |
$2$ |
$5$ |
$5.63583927815$ |
$2$ |
$1811$ |
| 10.0.4208855808.1 |
$x^{10} - x^{9} + x^{8} - 4 x^{7} + 5 x^{6} - 3 x^{5} + 5 x^{4} - 4 x^{3} + x^{2} - x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 3\cdot 2341^{2}$ |
$3$ |
$9.17099390345$ |
$145.91009181412042$ |
|
|
? |
$C_2 \wr S_5$ (as 10T39) |
trivial |
trivial |
$2$ |
$4$ |
$5.21812776074$ |
$0$ |
$2341$ |
| 10.0.4592132864.1 |
$x^{10} - 2 x^{9} + 5 x^{8} - 6 x^{7} + 8 x^{6} - 4 x^{5} + 2 x^{4} + 2 x^{3} - x^{2} - 2 x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 11\cdot 1277^{2}$ |
$3$ |
$9.25127188298$ |
$206.35537603741543$ |
|
|
? |
$C_2 \wr S_5$ (as 10T39) |
trivial |
trivial |
$2$ |
$4$ |
$4.79897300165$ |
$0$ |
$1277$ |
| 10.0.4595491584.1 |
$x^{10} - 3 x^{9} - x^{8} + 12 x^{7} - 11 x^{6} - 5 x^{5} + 15 x^{4} - 14 x^{3} + 9 x^{2} - 3 x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 3^{5}\cdot 31\cdot 2383$ |
$4$ |
$9.25194830525$ |
$819.6482047237923$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
trivial |
$6$ |
$4$ |
$16.6574735668$ |
$0$ |
$2383$ |
| 10.0.4653275904.1 |
$x^{10} - x^{9} + 3 x^{8} - 2 x^{7} + 5 x^{6} - 5 x^{5} + 7 x^{4} - 8 x^{3} + 5 x^{2} - 3 x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 3^{3}\cdot 17\cdot 199^{2}$ |
$4$ |
$9.26351652046$ |
$230.84258899975984$ |
|
|
✓ |
$C_2 \wr S_5$ (as 10T39) |
trivial |
trivial |
$2$ |
$4$ |
$5.30445424937$ |
$0$ |
$199$ |
| 10.0.4707465984.1 |
$x^{10} - x^{9} + x^{8} - 4 x^{7} - x^{6} - x^{5} + 3 x^{4} + 6 x^{3} + 5 x^{2} + 3 x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 3^{5}\cdot 13\cdot 5821$ |
$4$ |
$9.27424829878$ |
$829.573937889353$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
trivial |
$6$ |
$4$ |
$13.3489350783$ |
$0$ |
$5821$ |
| 10.0.4773157632.1 |
$x^{10} - x^{9} + x^{8} - 4 x^{7} + 3 x^{6} - x^{5} + 5 x^{4} - 2 x^{3} - x^{2} - x + 1$ |
$10$ |
(0, 5) |
$-\,2^{8}\cdot 3^{5}\cdot 277^{2}$ |
$3$ |
$9.28710974722$ |
$50.19084511681669$ |
|
|
? |
$S_5\times C_2$ (as 10T22) |
trivial |
trivial |
$6$ |
$4$ |
$12.2750916829$ |
$0$ |
$277$ |
