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 |
10.0.3473709019.1 |
$x^{10} - x^{9} + 2 x^{8} - 2 x^{7} + 5 x^{6} - 4 x^{5} + 5 x^{4} - 4 x^{3} + 4 x^{2} - 2 x + 1$ |
$10$ |
[0,5] |
$-\,11^{5}\cdot 21569$ |
$2$ |
$8.99661930654$ |
$487.0923936995937$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$3.75686794787$ |
10.0.6868019895.1 |
$x^{10} - x^{9} + x^{8} + 2 x^{7} - 4 x^{6} + 2 x^{5} + 3 x^{4} - 3 x^{3} + 2 x^{2} - x + 1$ |
$10$ |
[0,5] |
$-\,3\cdot 5\cdot 11^{5}\cdot 2843$ |
$4$ |
$9.63126105272$ |
$684.9051029157251$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$7.37925493356$ |
10.0.8757470227.1 |
$x^{10} - x^{9} + x^{8} - 2 x^{6} + 2 x^{5} - 3 x^{3} + 2 x + 1$ |
$10$ |
[0,5] |
$-\,11^{5}\cdot 54377$ |
$2$ |
$9.8681982764$ |
$773.3996379621599$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$7.96300436766$ |
10.0.11203995968.1 |
$x^{10} - 3 x^{9} + x^{8} + 3 x^{7} + 3 x^{6} - 7 x^{5} - 3 x^{4} + 4 x^{3} + 3 x^{2} + 1$ |
$10$ |
[0,5] |
$-\,2^{6}\cdot 11^{5}\cdot 1087$ |
$3$ |
$10.1143340789$ |
$437.39227245117166$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$11.3619166223$ |
10.0.20488264016.1 |
$x^{10} - x^{8} - x^{7} + 2 x^{6} + 4 x^{5} - 2 x^{4} - 4 x^{3} + 4 x^{2} + x + 1$ |
$10$ |
[0,5] |
$-\,2^{4}\cdot 11^{5}\cdot 7951$ |
$3$ |
$10.7436169617$ |
$836.4735500898997$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$14.0405665824$ |
10.0.31689844219.1 |
$x^{10} - x^{9} - 2 x^{8} + x^{7} + 6 x^{6} - 5 x^{5} - 4 x^{4} + 6 x^{3} + x^{2} - 5 x + 3$ |
$10$ |
[0,5] |
$-\,11^{5}\cdot 196769$ |
$2$ |
$11.2225619238$ |
$1471.2100461864716$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$25.7658961842$ |
10.0.33217251903.1 |
$x^{10} - x^{9} + 2 x^{8} - x^{7} + x^{6} + 3 x^{4} - x^{3} + 4 x^{2} + 1$ |
$10$ |
[0,5] |
$-\,3^{3}\cdot 11^{5}\cdot 7639$ |
$3$ |
$11.2755145572$ |
$660.7779444924108$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$26.5963606652$ |
10.0.33957442299.1 |
$x^{10} - x^{9} - x^{7} - x^{6} + 5 x^{5} - 7 x^{4} + 3 x^{3} + 7 x^{2} - 6 x + 3$ |
$10$ |
[0,5] |
$-\,3\cdot 11^{5}\cdot 67\cdot 1049$ |
$4$ |
$11.3003916911$ |
$1522.9376218348536$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$23.5729870491$ |
10.0.36409926927.1 |
$x^{10} - 3 x^{9} + 8 x^{8} - 10 x^{7} + 10 x^{6} - x^{5} - 5 x^{4} + 7 x^{3} - 2 x^{2} - 3 x + 3$ |
$10$ |
[0,5] |
$-\,3\cdot 11^{5}\cdot 179\cdot 421$ |
$4$ |
$11.3794685723$ |
$1576.9740010539172$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$21.7517591768$ |
10.0.37265429839.1 |
$x^{10} + x^{8} - x^{7} + 4 x^{5} - 4 x^{4} + x^{3} - 4 x + 3$ |
$10$ |
[0,5] |
$-\,11^{5}\cdot 71\cdot 3259$ |
$3$ |
$11.4059276777$ |
$1595.3930550181044$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$12.928303084$ |
10.0.44204151123.1 |
$x^{10} - x^{9} + 3 x^{7} - 2 x^{6} + 3 x^{5} + 2 x^{4} - x^{3} + 5 x^{2} - 2 x + 1$ |
$10$ |
[0,5] |
$-\,3^{2}\cdot 11^{5}\cdot 30497$ |
$3$ |
$11.6023591663$ |
$1003.1953947262716$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$20.9350649826$ |
10.0.45097017867.1 |
$x^{10} - 2 x^{9} + 3 x^{8} - 5 x^{7} + 2 x^{6} + x^{5} + x^{4} + 5 x^{3} - 2 x^{2} - 2 x + 1$ |
$10$ |
[0,5] |
$-\,3^{4}\cdot 11^{5}\cdot 3457$ |
$3$ |
$11.6255841057$ |
$469.6161633375287$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$19.8090721593$ |
10.0.50476765471.1 |
$x^{10} - 4 x^{9} + 5 x^{8} - 2 x^{7} + x^{6} - 5 x^{5} + 6 x^{4} + x^{3} + x^{2} - 2 x + 1$ |
$10$ |
[0,5] |
$-\,11^{5}\cdot 23\cdot 13627$ |
$3$ |
$11.7573420147$ |
$1856.7797392259536$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$35.2047554751$ |
10.0.51783211183.1 |
$x^{10} - 4 x^{9} + 6 x^{8} - 4 x^{7} + 2 x^{6} - 3 x^{4} + 2 x^{3} + 3 x^{2} + x + 1$ |
$10$ |
[0,5] |
$-\,11^{5}\cdot 67\cdot 4799$ |
$3$ |
$11.7874237889$ |
$1880.654939110309$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$29.5173131211$ |
10.0.57983674683.1 |
$x^{10} + 5 x^{8} + 10 x^{6} - 2 x^{5} + 8 x^{4} - 5 x^{3} + 3 x^{2} - x + 1$ |
$10$ |
[0,5] |
$-\,3\cdot 11^{5}\cdot 120011$ |
$3$ |
$11.9214909521$ |
$1990.066079304906$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$30.6451344695$ |
10.0.60042389616.1 |
$x^{10} - 2 x^{9} + 6 x^{8} - 7 x^{7} + 14 x^{6} - 6 x^{5} + 12 x^{4} + 2 x^{3} + 3 x^{2} + 3 x + 1$ |
$10$ |
[0,5] |
$-\,2^{4}\cdot 3^{3}\cdot 11^{5}\cdot 863$ |
$4$ |
$11.9631568496$ |
$702.0583352923147$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$22.0236371749$ |
10.0.60184275547.1 |
$x^{10} - 2 x^{9} + 2 x^{8} - x^{7} - 3 x^{6} + 2 x^{5} + x^{4} - 2 x^{3} + 9 x^{2} - 10 x + 4$ |
$10$ |
[0,5] |
$-\,11^{5}\cdot 47\cdot 7951$ |
$3$ |
$11.9659808567$ |
$2027.477990016168$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$25.6882751463$ |
10.0.62910546875.1 |
$x^{10} - 4 x^{9} + 9 x^{8} - 9 x^{7} - 2 x^{6} + 12 x^{5} - 8 x^{4} - 12 x^{3} + 27 x^{2} - 14 x + 5$ |
$10$ |
[0,5] |
$-\,5^{8}\cdot 11^{5}$ |
$2$ |
$12.0191110005$ |
$43.55603614321637$ |
|
|
|
$D_5\times C_5$ (as 10T6) |
trivial |
$2$ |
$4$ |
$29.8937495286$ |
10.0.65829918352.1 |
$x^{10} - 2 x^{9} + 3 x^{8} - x^{7} - 4 x^{6} + 14 x^{5} - 10 x^{4} - 4 x^{3} + 14 x^{2} - 7 x + 1$ |
$10$ |
[0,5] |
$-\,2^{4}\cdot 11^{5}\cdot 59\cdot 433$ |
$4$ |
$12.0737542415$ |
$1499.3785379282979$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$28.7170862544$ |
10.0.68475181027.1 |
$x^{10} - x^{9} + 3 x^{8} - 6 x^{7} + 4 x^{6} - 4 x^{5} + 8 x^{4} - 3 x^{3} - 3 x^{2} + x + 1$ |
$10$ |
[0,5] |
$-\,11^{5}\cdot 389\cdot 1093$ |
$3$ |
$12.1214149585$ |
$2162.6250252875557$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$24.4209744393$ |
10.0.69045301567.1 |
$x^{10} - x^{9} + x^{8} + x^{7} - 5 x^{6} + 6 x^{5} - x^{4} - 3 x^{3} + 9 x^{2} - 9 x + 5$ |
$10$ |
[0,5] |
$-\,11^{5}\cdot 53\cdot 8089$ |
$3$ |
$12.1314695669$ |
$2171.6093110870565$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$30.9686100884$ |
10.0.71761265631.1 |
$x^{10} - 3 x^{9} + 6 x^{8} - 13 x^{7} + 27 x^{6} - 38 x^{5} + 38 x^{4} - 32 x^{3} + 25 x^{2} - 14 x + 4$ |
$10$ |
[0,5] |
$-\,3^{4}\cdot 11^{5}\cdot 5501$ |
$3$ |
$12.1783656374$ |
$1064.3362109550928$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$28.1753605455$ |
10.0.72645113519.1 |
$x^{10} - x^{9} + 2 x^{8} - 4 x^{7} + 7 x^{6} - 7 x^{5} + 7 x^{4} + 3 x^{3} + 5 x^{2} - 2 x + 4$ |
$10$ |
[0,5] |
$-\,11^{5}\cdot 451069$ |
$2$ |
$12.193282635$ |
$2227.5006172838653$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$30.2670616139$ |
10.0.72741099915.1 |
$x^{10} - 5 x^{9} + 15 x^{8} - 29 x^{7} + 40 x^{6} - 41 x^{5} + 32 x^{4} - 21 x^{3} + 12 x^{2} - 4 x + 1$ |
$10$ |
[0,5] |
$-\,3^{2}\cdot 5\cdot 11^{5}\cdot 10037$ |
$4$ |
$12.1948927831$ |
$1286.897431810321$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$26.1050698781$ |
10.0.72968503927.1 |
$x^{10} - 2 x^{9} + x^{8} - x^{7} + 3 x^{6} + x^{4} - x^{3} + 2 x + 1$ |
$10$ |
[0,5] |
$-\,11^{5}\cdot 23\cdot 19699$ |
$3$ |
$12.198699811$ |
$2232.4531350064217$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$24.9683191824$ |
10.0.75681891175.1 |
$x^{10} - 3 x^{9} + 4 x^{8} - 2 x^{7} - 3 x^{5} + 4 x^{4} + x^{3} - 2 x^{2} + 1$ |
$10$ |
[0,5] |
$-\,5^{2}\cdot 11^{5}\cdot 18797$ |
$3$ |
$12.2433199132$ |
$1329.5988052162588$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$36.1826835182$ |
10.0.75987727024.1 |
$x^{10} - 2 x^{9} + 6 x^{8} - 11 x^{7} + 21 x^{6} - 30 x^{5} + 33 x^{4} - 24 x^{3} + 14 x^{2} - 5 x + 1$ |
$10$ |
[0,5] |
$-\,2^{4}\cdot 11^{5}\cdot 37\cdot 797$ |
$4$ |
$12.2482585508$ |
$1139.0855981883012$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$26.225482949$ |
10.0.76879466411.1 |
$x^{10} - 2 x^{9} + 6 x^{8} - 6 x^{7} + 10 x^{6} - 4 x^{5} + 10 x^{4} - x^{3} + 9 x^{2} + 4$ |
$10$ |
[0,5] |
$-\,11^{5}\cdot 477361$ |
$2$ |
$12.262556913$ |
$2291.499727252875$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$40.1875152898$ |
10.0.79246916111.1 |
$x^{10} - 5 x^{9} + 14 x^{8} - 23 x^{7} + 26 x^{6} - 19 x^{5} + 7 x^{4} + 2 x^{3} - 2 x^{2} - x + 1$ |
$10$ |
[0,5] |
$-\,11^{5}\cdot 492061$ |
$2$ |
$12.299805307$ |
$2326.514775366793$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$28.9609164905$ |
10.0.80198244368.1 |
$x^{10} + x^{8} - x^{7} + 3 x^{6} + x^{5} + 3 x^{4} - 2 x^{3} + 2 x^{2} + 4$ |
$10$ |
[0,5] |
$-\,2^{4}\cdot 11^{5}\cdot 31123$ |
$3$ |
$12.3144915798$ |
$1654.9392738103716$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$37.3061789049$ |
10.0.84580281027.1 |
$x^{10} - 3 x^{8} + 2 x^{6} - 2 x^{5} - x^{4} + 3 x^{3} + 5 x^{2} + 3 x + 1$ |
$10$ |
[0,5] |
$-\,3^{3}\cdot 11^{5}\cdot 53\cdot 367$ |
$4$ |
$12.3801786683$ |
$801.1760106243821$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$34.6076032387$ |
10.0.90072120127.1 |
$x^{10} - 4 x^{9} + 8 x^{8} - 11 x^{7} + 15 x^{6} - 18 x^{5} + 19 x^{4} - 17 x^{3} + 12 x^{2} - 5 x + 1$ |
$10$ |
[0,5] |
$-\,11^{5}\cdot 559277$ |
$2$ |
$12.4583072839$ |
$2480.3320342244506$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$19.2322757387$ |
10.0.93296361147.1 |
$x^{10} - 2 x^{9} + 5 x^{8} - 6 x^{7} + 9 x^{6} - 9 x^{5} + 20 x^{4} - 18 x^{3} + 7 x^{2} - 3 x + 1$ |
$10$ |
[0,5] |
$-\,3\cdot 11^{5}\cdot 31\cdot 6229$ |
$4$ |
$12.5022008179$ |
$2524.334961925616$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$49.9767028816$ |
10.0.93468363615.1 |
$x^{10} - 3 x^{9} + 3 x^{8} - 8 x^{7} + 23 x^{6} - 32 x^{5} + 37 x^{4} - 34 x^{3} + 22 x^{2} - 11 x + 3$ |
$10$ |
[0,5] |
$-\,3^{4}\cdot 5\cdot 11^{5}\cdot 1433$ |
$4$ |
$12.504503831$ |
$676.0852228927139$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$48.6631355644$ |
10.0.94571885067.1 |
$x^{10} - 3 x^{9} + 3 x^{8} + 3 x^{7} - 7 x^{6} - x^{5} + 11 x^{4} - 9 x^{3} + 5 x^{2} - 3 x + 1$ |
$10$ |
[0,5] |
$-\,3\cdot 11^{5}\cdot 195739$ |
$3$ |
$12.5191892487$ |
$2541.5324117547666$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$33.8331169781$ |
10.0.98238533184.1 |
$x^{10} - 2 x^{9} + 6 x^{8} - 4 x^{7} + 6 x^{6} + 3 x^{5} + 5 x^{4} - 2 x^{3} + 14 x^{2} - 4 x + 4$ |
$10$ |
[0,5] |
$-\,2^{6}\cdot 3^{3}\cdot 11^{5}\cdot 353$ |
$4$ |
$12.5669008015$ |
$431.7221328586247$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$51.6377572562$ |
10.0.98464809839.1 |
$x^{10} - 3 x^{9} + 2 x^{8} - 2 x^{7} + 5 x^{6} + 3 x^{5} - 6 x^{4} - 5 x^{3} + 3 x^{2} + 4 x + 1$ |
$10$ |
[0,5] |
$-\,11^{5}\cdot 611389$ |
$2$ |
$12.569792389$ |
$2593.314288704707$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$27.7849496357$ |
10.0.100132653995.1 |
$x^{10} - x^{9} - x^{8} - 5 x^{7} + 3 x^{6} + x^{5} + 11 x^{4} + 5 x^{3} + 11 x^{2} + 2 x + 4$ |
$10$ |
[0,5] |
$-\,5\cdot 11^{5}\cdot 124349$ |
$3$ |
$12.5909231367$ |
$2615.185461874549$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$41.6488993368$ |
10.0.100382444096.1 |
$x^{10} - x^{9} + 2 x^{7} - x^{5} + 3 x^{4} + 4 x + 4$ |
$10$ |
[0,5] |
$-\,2^{6}\cdot 11^{5}\cdot 9739$ |
$3$ |
$12.5940605378$ |
$1309.2226701367495$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$36.0205393$ |
10.0.101674878371.1 |
$x^{10} - 2 x^{9} + 2 x^{6} - 2 x^{5} + 3 x^{4} - 5 x^{3} + 6 x^{2} - x + 3$ |
$10$ |
[0,5] |
$-\,11^{5}\cdot 313\cdot 2017$ |
$3$ |
$12.6101823327$ |
$2635.247806184458$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$29.4085739046$ |
10.0.103367202279.1 |
$x^{10} - x^{7} + 8 x^{6} - x^{5} + 3 x^{4} - 4 x^{3} + 11 x^{2} - 4 x + 3$ |
$10$ |
[0,5] |
$-\,3\cdot 11^{5}\cdot 213943$ |
$3$ |
$12.6310157359$ |
$2657.088444143326$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$53.4822867028$ |
10.0.104026222971.1 |
$x^{10} - 3 x^{9} + 3 x^{8} + 3 x^{6} - 5 x^{5} - x^{4} - x^{3} + 2 x^{2} + 3 x + 1$ |
$10$ |
[0,5] |
$-\,3^{3}\cdot 11^{5}\cdot 47\cdot 509$ |
$4$ |
$12.6390456668$ |
$1848.1857889768412$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$38.6895039209$ |
10.0.104877216455.1 |
$x^{10} - 3 x^{9} + 7 x^{8} - 9 x^{7} + 12 x^{6} - 11 x^{5} + 14 x^{4} - 8 x^{3} + 7 x^{2} - 2 x + 1$ |
$10$ |
[0,5] |
$-\,5\cdot 11^{5}\cdot 130241$ |
$3$ |
$12.6493472566$ |
$2676.4257882482$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$43.0229918926$ |
10.0.105596148119.1 |
$x^{10} - 2 x^{9} + 3 x^{8} - x^{7} - 4 x^{6} + 3 x^{5} + x^{4} - 4 x^{3} + 3 x^{2} + 4 x + 1$ |
$10$ |
[0,5] |
$-\,7^{2}\cdot 11^{5}\cdot 13381$ |
$3$ |
$12.6579917316$ |
$1015.0551709143696$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$37.8196739724$ |
10.0.109135404895.1 |
$x^{10} - x^{9} + 4 x^{8} - 5 x^{7} + 9 x^{6} - 12 x^{5} + 15 x^{4} - 11 x^{3} + 8 x^{2} + 5 x + 3$ |
$10$ |
[0,5] |
$-\,5\cdot 11^{5}\cdot 313\cdot 433$ |
$4$ |
$12.6997907823$ |
$2730.2188556963706$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$50.4422811909$ |
10.0.109378108752.1 |
$x^{10} - x^{9} + 4 x^{8} + x^{7} + 4 x^{6} + 6 x^{5} + 8 x^{4} + 3 x^{3} - x^{2} - x + 1$ |
$10$ |
[0,5] |
$-\,2^{4}\cdot 3\cdot 11^{5}\cdot 14149$ |
$4$ |
$12.7026122388$ |
$1932.7017359127094$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$51.1737812349$ |
10.0.110345864211.1 |
$x^{10} - x^{9} - 5 x^{8} + 6 x^{7} + 12 x^{6} - 17 x^{5} - 12 x^{4} + 28 x^{3} - 20 x + 9$ |
$10$ |
[0,5] |
$-\,3^{2}\cdot 11^{5}\cdot 76129$ |
$3$ |
$12.713806755$ |
$1585.0100946050786$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$61.1261929269$ |
10.0.111924164011.1 |
$x^{10} - x^{9} + 3 x^{8} - 5 x^{7} + 6 x^{6} - 8 x^{5} + 8 x^{4} - 6 x^{3} + 7 x^{2} - 2 x + 1$ |
$10$ |
[0,5] |
$-\,11^{5}\cdot 59\cdot 11779$ |
$3$ |
$12.7318755805$ |
$2764.881733456243$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$35.101707008$ |
10.0.114379708608.1 |
$x^{10} - 2 x^{9} + 6 x^{8} - 9 x^{7} + 11 x^{6} - 17 x^{5} + 19 x^{4} - 13 x^{3} + 8 x^{2} - 2 x + 1$ |
$10$ |
[0,5] |
$-\,2^{6}\cdot 3^{4}\cdot 11^{5}\cdot 137$ |
$4$ |
$12.7595364997$ |
$475.0762203440873$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$39.7737414989$ |
10.0.115175944752.1 |
$x^{10} - 3 x^{9} + 8 x^{8} - 16 x^{7} + 30 x^{6} - 40 x^{5} + 49 x^{4} - 42 x^{3} + 30 x^{2} - 12 x + 4$ |
$10$ |
[0,5] |
$-\,2^{4}\cdot 3\cdot 11^{5}\cdot 47\cdot 317$ |
$5$ |
$12.7683911453$ |
$1402.3794065801167$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$4$ |
$36.5442899769$ |