| 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 |
| 10.2.15881315489.1 |
$x^{10} + 4 x^{8} - 3 x^{7} + 8 x^{6} - 8 x^{5} + 7 x^{4} - 10 x^{3} + 7 x^{2} - 4 x + 1$ |
$10$ |
[2,4] |
$13^{5}\cdot 42773$ |
$2$ |
$10.4734230767$ |
$745.6869316274759$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$14.5332652487$ |
| 10.4.18065632208.1 |
$x^{10} - x^{9} - x^{8} - 3 x^{7} + 2 x^{5} + 4 x^{4} + 5 x^{3} - 2 x^{2} - 3 x - 1$ |
$10$ |
[4,3] |
$-\,2^{4}\cdot 13^{5}\cdot 3041$ |
$3$ |
$10.6092654643$ |
$562.3735413406289$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$16.1082640048$ |
| 10.2.24520561013.1 |
$x^{10} - 3 x^{9} + 4 x^{8} - x^{7} - 2 x^{6} + 4 x^{5} - 4 x^{4} + x^{3} + 3 x^{2} - x - 1$ |
$10$ |
[2,4] |
$13^{5}\cdot 66041$ |
$2$ |
$10.9383808441$ |
$926.5705585652935$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$17.4279649413$ |
| 10.4.31460027183.1 |
$x^{10} - x^{9} + 3 x^{8} - 4 x^{7} + 2 x^{6} + 2 x^{5} - 5 x^{4} + x^{3} - 2 x^{2} + x + 1$ |
$10$ |
[4,3] |
$-\,13^{5}\cdot 84731$ |
$2$ |
$11.2143965583$ |
$1049.5251307138863$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$21.9305815652$ |
| 10.4.36074456587.1 |
$x^{10} - 3 x^{9} + 5 x^{8} - 6 x^{7} + 4 x^{6} - 3 x^{5} + 2 x^{4} - 2 x^{2} + 4 x - 1$ |
$10$ |
[4,3] |
$-\,13^{5}\cdot 97159$ |
$2$ |
$11.3689401385$ |
$1123.862536078145$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$21.0913276751$ |
| 10.4.40708193227.1 |
$x^{10} - 3 x^{9} + x^{8} + 8 x^{7} - 18 x^{6} + 16 x^{5} - 5 x^{4} - 6 x^{3} + 6 x^{2} - 4 x + 1$ |
$10$ |
[4,3] |
$-\,13^{5}\cdot 109639$ |
$2$ |
$11.5071608212$ |
$1193.8622198562111$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$28.7838408517$ |
| 10.2.47101116101.1 |
$x^{10} - x^{9} - 3 x^{8} + 3 x^{7} + 4 x^{6} - 4 x^{5} - 2 x^{4} + 5 x^{3} - x + 1$ |
$10$ |
[2,4] |
$13^{5}\cdot 126857$ |
$2$ |
$11.6762428682$ |
$1284.188849040514$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$31.8091498455$ |
| 10.4.47485033063.1 |
$x^{10} - 5 x^{9} + 12 x^{8} - 18 x^{7} + 18 x^{6} - 9 x^{5} - 5 x^{4} + 11 x^{3} - 12 x^{2} + 7 x - 1$ |
$10$ |
[4,3] |
$-\,13^{5}\cdot 17\cdot 7523$ |
$3$ |
$11.6857253397$ |
$1289.4118814405272$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$36.5105151679$ |
| 10.2.51512076941.1 |
$x^{10} - 2 x^{9} + 4 x^{7} - x^{6} - 3 x^{5} + 6 x^{4} - 4 x^{3} + 5 x^{2} - x - 1$ |
$10$ |
[2,4] |
$13^{5}\cdot 17\cdot 8161$ |
$3$ |
$11.7812373639$ |
$1342.9746833056831$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$26.4988402502$ |
| 10.2.51792774449.1 |
$x^{10} - 3 x^{9} + 7 x^{8} - 11 x^{7} + 9 x^{6} - 2 x^{5} - 2 x^{4} + 2 x^{3} - 2 x^{2} + x + 1$ |
$10$ |
[2,4] |
$13^{5}\cdot 139493$ |
$2$ |
$11.7876414597$ |
$1346.628753591724$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$28.5067389054$ |
| 10.2.51903791056.1 |
$x^{10} - 3 x^{9} + 3 x^{8} + 2 x^{7} - 6 x^{6} + 2 x^{5} + 4 x^{4} - x^{3} - 4 x^{2} + 2 x + 1$ |
$10$ |
[2,4] |
$2^{4}\cdot 13^{5}\cdot 8737$ |
$3$ |
$11.7901656794$ |
$674.0356073680381$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$31.0231835137$ |
| 10.4.52234613119.1 |
$x^{10} - 4 x^{9} + 9 x^{8} - 14 x^{7} + 15 x^{6} - 7 x^{5} - 8 x^{4} + 13 x^{3} - 5 x^{2} - 4 x + 1$ |
$10$ |
[4,3] |
$-\,13^{5}\cdot 140683$ |
$2$ |
$11.7976589753$ |
$1352.3605288531605$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$38.4775793443$ |
| 10.4.61498002176.1 |
$x^{10} - x^{9} + x^{8} + 2 x^{7} - 2 x^{4} + 4 x^{3} - 4 x^{2} - 4 x + 4$ |
$10$ |
[4,3] |
$-\,2^{8}\cdot 13^{5}\cdot 647$ |
$3$ |
$11.9918476046$ |
$224.51958332056265$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$38.733330456$ |
| 10.2.62462250097.1 |
$x^{10} - 3 x^{9} + 4 x^{8} - 4 x^{7} + 11 x^{6} - 26 x^{5} + 26 x^{4} - 14 x^{3} + x^{2} + 2 x - 1$ |
$10$ |
[2,4] |
$13^{5}\cdot 29\cdot 5801$ |
$3$ |
$12.0105186653$ |
$1478.8431289355879$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$41.3295365002$ |
| 10.2.63311768481.1 |
$x^{10} - x^{9} + 2 x^{8} - x^{7} - 3 x^{6} + 7 x^{5} - 8 x^{4} - 4 x^{3} + 10 x^{2} + x - 3$ |
$10$ |
[2,4] |
$3\cdot 13^{5}\cdot 113\cdot 503$ |
$4$ |
$12.0267544611$ |
$1488.8656756067687$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$43.2340843795$ |
| 10.2.64544461241.1 |
$x^{10} - x^{9} + 3 x^{8} - 4 x^{7} + 5 x^{6} - 6 x^{5} + 4 x^{4} - 7 x^{3} + 2 x^{2} - 2 x + 1$ |
$10$ |
[2,4] |
$13^{5}\cdot 131\cdot 1327$ |
$3$ |
$12.0499681223$ |
$1503.2900585050113$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$24.4241098781$ |
| 10.2.67817780329.1 |
$x^{10} - 3 x^{9} + 8 x^{8} - 16 x^{7} + 21 x^{6} - 26 x^{5} + 21 x^{4} - 13 x^{3} + 6 x^{2} - 2 x - 1$ |
$10$ |
[2,4] |
$13^{5}\cdot 182653$ |
$2$ |
$12.1097271268$ |
$1540.9377015311163$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$36.0149359651$ |
| 10.6.68107388869.1 |
$x^{10} - 3 x^{9} - 2 x^{8} + 12 x^{7} - 4 x^{6} - 13 x^{5} + 10 x^{4} + 2 x^{3} - 4 x^{2} + x - 1$ |
$10$ |
[6,2] |
$13^{5}\cdot 53\cdot 3461$ |
$3$ |
$12.1148885447$ |
$1544.224400791543$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$7$ |
$39.7860398705$ |
| 10.6.72702511037.1 |
$x^{10} - 5 x^{9} + 9 x^{8} - 4 x^{7} - 13 x^{6} + 26 x^{5} - 14 x^{4} - 8 x^{3} + 13 x^{2} - 5 x - 1$ |
$10$ |
[6,2] |
$13^{5}\cdot 195809$ |
$2$ |
$12.1942456942$ |
$1595.467643043882$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$7$ |
$42.61014159$ |
| 10.2.74811083984.1 |
$x^{10} - 3 x^{9} + 3 x^{8} - 2 x^{7} + 3 x^{5} - 2 x^{4} - 3 x^{2} - 2 x + 1$ |
$10$ |
[2,4] |
$2^{4}\cdot 7^{2}\cdot 13^{5}\cdot 257$ |
$4$ |
$12.2291590887$ |
$305.85617535044145$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$26.7104832515$ |
| 10.2.77232285637.1 |
$x^{10} + 6 x^{8} - x^{7} + 11 x^{6} - 6 x^{5} + 3 x^{4} - 10 x^{3} - 4 x^{2} - 3 x - 1$ |
$10$ |
[2,4] |
$13^{5}\cdot 208009$ |
$2$ |
$12.2681729208$ |
$1644.41995852641$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$47.7343995022$ |
| 10.2.77413476621.1 |
$x^{10} - 3 x^{9} + 3 x^{8} + 2 x^{7} - 5 x^{6} + 3 x^{5} - x^{4} - 5 x^{3} + 4 x^{2} - 3 x + 1$ |
$10$ |
[2,4] |
$3\cdot 13^{5}\cdot 69499$ |
$3$ |
$12.2710480644$ |
$1646.3477761396587$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$41.7354930335$ |
| 10.2.79242837232.1 |
$x^{10} - x^{8} - x^{7} + x^{6} + 5 x^{5} - 5 x^{4} - x^{3} + 5 x^{2} - 4 x + 1$ |
$10$ |
[2,4] |
$2^{4}\cdot 13^{5}\cdot 13339$ |
$3$ |
$12.2997419978$ |
$1177.8183221532938$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$37.8223970229$ |
| 10.4.79264743519.1 |
$x^{10} - 2 x^{9} - x^{7} - 6 x^{6} + 8 x^{5} - 5 x^{4} + 4 x^{3} + x^{2} - 5 x + 1$ |
$10$ |
[4,3] |
$-\,3\cdot 13^{5}\cdot 71161$ |
$3$ |
$12.3000819757$ |
$1665.9168646724243$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$49.6776094144$ |
| 10.2.79937897728.1 |
$x^{10} - x^{9} + x^{8} + 4 x^{7} - 9 x^{6} + 9 x^{5} - 7 x^{4} + 6 x^{3} + x^{2} + x + 3$ |
$10$ |
[2,4] |
$2^{8}\cdot 13^{5}\cdot 29^{2}$ |
$3$ |
$12.3104880886$ |
$33.806068850856356$ |
|
|
? |
$D_5^2 : C_2$ (as 10T21) |
trivial |
$2$ |
$5$ |
$39.2172490657$ |
| 10.2.80444712673.1 |
$x^{10} - 2 x^{9} + 3 x^{8} - 5 x^{7} + 4 x^{6} - 6 x^{5} + 2 x^{4} - 3 x^{3} - 2 x^{2} - 1$ |
$10$ |
[2,4] |
$13^{5}\cdot 216661$ |
$2$ |
$12.3182708926$ |
$1678.270836307418$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$24.7267737625$ |
| 10.4.81087049563.1 |
$x^{10} - x^{9} + x^{8} - 2 x^{7} + 2 x^{6} + 4 x^{5} + x^{4} + 6 x^{3} + x^{2} - 3 x - 1$ |
$10$ |
[4,3] |
$-\,3\cdot 13^{5}\cdot 72797$ |
$3$ |
$12.328071651$ |
$1684.9578629746204$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$54.7645494557$ |
| 10.2.82425932121.1 |
$x^{10} - 3 x^{9} + 3 x^{8} - 4 x^{7} + x^{6} + 5 x^{5} - 7 x^{4} + 2 x^{3} + x^{2} - 3$ |
$10$ |
[2,4] |
$3\cdot 13^{5}\cdot 73999$ |
$3$ |
$12.3482776703$ |
$1698.8116434731662$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$36.6751372363$ |
| 10.4.83415799259.1 |
$x^{10} - x^{9} - 3 x^{8} - 4 x^{7} + 6 x^{6} + 14 x^{5} + 9 x^{4} - 8 x^{3} - 15 x^{2} - 7 x - 1$ |
$10$ |
[4,3] |
$-\,13^{5}\cdot 29\cdot 61\cdot 127$ |
$4$ |
$12.3630273936$ |
$1708.9818606410074$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$45.2319281638$ |
| 10.2.85801728077.1 |
$x^{10} - 4 x^{9} + 11 x^{8} - 22 x^{7} + 36 x^{6} - 48 x^{5} + 44 x^{4} - 24 x^{3} + 6 x^{2} - 2 x + 1$ |
$10$ |
[2,4] |
$13^{5}\cdot 179\cdot 1291$ |
$3$ |
$12.3979420906$ |
$1733.2504146833487$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$35.5722178914$ |
| 10.2.88046936848.1 |
$x^{10} + x^{8} - 3 x^{7} + 2 x^{6} - 11 x^{5} + 8 x^{4} - 9 x^{3} + x^{2} - x - 1$ |
$10$ |
[2,4] |
$2^{4}\cdot 13^{5}\cdot 14821$ |
$3$ |
$12.4300084863$ |
$696.7822736642988$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$40.2265824239$ |
| 10.2.89762681801.1 |
$x^{10} - 2 x^{9} + 3 x^{8} - x^{7} - 3 x^{6} + 7 x^{5} - 9 x^{4} + 8 x^{3} - 6 x^{2} + 2 x - 1$ |
$10$ |
[2,4] |
$13^{5}\cdot 17\cdot 14221$ |
$3$ |
$12.4540206627$ |
$1772.8059679502435$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$24.9811356403$ |
| 10.2.93643436237.1 |
$x^{10} - 2 x^{9} + 8 x^{8} - 12 x^{7} + 22 x^{6} - 22 x^{5} + 21 x^{4} - 11 x^{3} + 4 x^{2} + x - 1$ |
$10$ |
[2,4] |
$13^{5}\cdot 252209$ |
$2$ |
$12.506844038$ |
$1810.7227838628419$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$45.145812747$ |
| 10.2.98354401821.1 |
$x^{10} - 3 x^{9} + 8 x^{8} - 15 x^{7} + 23 x^{6} - 29 x^{5} + 31 x^{4} - 24 x^{3} + 17 x^{2} - 7 x + 1$ |
$10$ |
[2,4] |
$3^{3}\cdot 13^{5}\cdot 9811$ |
$3$ |
$12.5683822338$ |
$1286.6777112048921$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$46.9982106304$ |
| 10.4.104248306903.1 |
$x^{10} - x^{9} - x^{8} + 3 x^{7} - x^{6} - 5 x^{5} + 2 x^{4} + 4 x^{3} - 5 x^{2} + 4$ |
$10$ |
[4,3] |
$-\,13^{5}\cdot 280771$ |
$2$ |
$12.6417413679$ |
$1910.5033368199072$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$45.5340764769$ |
| 10.2.106470866801.1 |
$x^{10} - x^{9} - x^{6} - 2 x^{5} + 2 x^{4} - 2 x^{3} - 5 x^{2} + 2 x - 3$ |
$10$ |
[2,4] |
$13^{5}\cdot 139\cdot 2063$ |
$3$ |
$12.6684382529$ |
$1930.7617667646105$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$58.7602746051$ |
| 10.2.107571379253.1 |
$x^{10} - 2 x^{9} + 2 x^{8} + x^{7} - 3 x^{6} + 6 x^{5} - 5 x^{4} - x^{3} - 5 x^{2} - 6 x - 4$ |
$10$ |
[2,4] |
$13^{5}\cdot 289721$ |
$2$ |
$12.6814721918$ |
$1940.7145591250662$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$51.0568346683$ |
| 10.6.108355550069.1 |
$x^{10} - x^{9} - 2 x^{8} + x^{7} - 5 x^{6} + 6 x^{5} + 9 x^{4} - 10 x^{3} + 3 x - 1$ |
$10$ |
[6,2] |
$13^{5}\cdot 291833$ |
$2$ |
$12.6906865093$ |
$1947.7753977294199$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$7$ |
$66.9498910357$ |
| 10.2.110293699529.1 |
$x^{10} - x^{9} - 4 x^{8} + 6 x^{7} + 7 x^{6} - 11 x^{5} - 6 x^{4} + 10 x^{3} + 4 x^{2} - 2 x - 1$ |
$10$ |
[2,4] |
$13^{5}\cdot 127\cdot 2339$ |
$3$ |
$12.7132055972$ |
$1965.1180626109974$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$42.8100768229$ |
| 10.2.112807724432.1 |
$x^{10} - 4 x^{9} + 6 x^{8} - 8 x^{7} + 9 x^{6} - 20 x^{5} + 23 x^{4} - 16 x^{3} + 6 x^{2} - 1$ |
$10$ |
[2,4] |
$2^{4}\cdot 13^{5}\cdot 17\cdot 1117$ |
$4$ |
$12.741890949$ |
$788.6955440648802$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$34.6656986321$ |
| 10.4.115697497851.1 |
$x^{10} - 2 x^{9} + 3 x^{8} - x^{7} - 3 x^{6} + 7 x^{5} - 9 x^{4} - 5 x^{3} + 7 x^{2} + 2 x - 1$ |
$10$ |
[4,3] |
$-\,3^{4}\cdot 13^{5}\cdot 3847$ |
$3$ |
$12.7741613281$ |
$538.5546413756427$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$71.2259118247$ |
| 10.2.117205690017.1 |
$x^{10} - 4 x^{9} + 9 x^{8} - 14 x^{7} + 13 x^{6} - 11 x^{5} + 3 x^{4} + 10 x^{3} - 5 x^{2} + 3 x - 1$ |
$10$ |
[2,4] |
$3\cdot 13^{5}\cdot 139\cdot 757$ |
$4$ |
$12.7907163965$ |
$2025.7583765098937$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$62.5619987913$ |
| 10.2.117871047073.1 |
$x^{10} - 2 x^{9} + x^{8} - x^{7} + 2 x^{6} + x^{5} - 5 x^{4} + 6 x^{3} - 4 x^{2} + x + 1$ |
$10$ |
[2,4] |
$13^{5}\cdot 523\cdot 607$ |
$3$ |
$12.7979589892$ |
$2031.5001845926572$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$50.0419359679$ |
| 10.2.118402738649.1 |
$x^{10} - 2 x^{9} + 2 x^{8} - 2 x^{7} + 9 x^{6} - 23 x^{5} + 27 x^{4} - 21 x^{3} + 10 x^{2} - 8 x + 3$ |
$10$ |
[2,4] |
$13^{5}\cdot 347\cdot 919$ |
$3$ |
$12.8037201954$ |
$2036.0768649537767$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$77.2726475616$ |
| 10.2.119051758813.1 |
$x^{10} - 3 x^{8} - 4 x^{7} + 2 x^{6} + 4 x^{5} + 6 x^{4} - 3 x^{3} + 3 x^{2} - 3 x + 1$ |
$10$ |
[2,4] |
$13^{5}\cdot 311\cdot 1031$ |
$3$ |
$12.8107212546$ |
$2041.6495781597782$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$5$ |
$41.2189405655$ |
| 10.4.119469834731.1 |
$x^{10} - 5 x^{9} + 12 x^{8} - 14 x^{7} + 3 x^{6} + 10 x^{5} - 15 x^{4} + 8 x^{3} + 2 x^{2} - 4 x + 1$ |
$10$ |
[4,3] |
$-\,13^{5}\cdot 79\cdot 4073$ |
$3$ |
$12.815212922$ |
$2045.2312827648614$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$68.4858120546$ |
| 10.4.119547063675.1 |
$x^{10} - x^{9} - 3 x^{8} - x^{7} + x^{6} + 4 x^{5} + 3 x^{4} + 3 x^{3} + 2 x^{2} - 3 x - 3$ |
$10$ |
[4,3] |
$-\,3^{5}\cdot 5^{2}\cdot 13^{5}\cdot 53$ |
$4$ |
$12.8160410956$ |
$304.9836061167879$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$6$ |
$67.8851839727$ |
| 10.8.987515739431.1 |
$x^{10} - 2 x^{9} - 7 x^{8} + 11 x^{7} + 14 x^{6} - 16 x^{5} - 2 x^{4} + 7 x^{3} - 14 x^{2} - 8 x - 1$ |
$10$ |
[8,1] |
$-\,13^{5}\cdot 17^{2}\cdot 9203$ |
$3$ |
$15.8290336608$ |
$1426.1356877941173$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$8$ |
$246.89139682280714$ |
| 10.0.1320972497559.2 |
$x^{10} - 4 x^{9} + 9 x^{8} - 21 x^{7} + 46 x^{6} - 68 x^{5} + 70 x^{4} - 37 x^{3} + 24 x^{2} - 20 x + 16$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 11^{4}\cdot 13^{5}$ |
$3$ |
$16.2963137541$ |
$42.52520850150444$ |
|
|
|
$D_5\times C_5$ (as 10T6) |
$[4]$ |
$2$ |
$4$ |
$312.814874397$ |
| 10.10.3763126214549.1 |
$x^{10} - 2 x^{9} - 8 x^{8} + 14 x^{7} + 22 x^{6} - 29 x^{5} - 26 x^{4} + 19 x^{3} + 11 x^{2} - 2 x - 1$ |
$10$ |
[10,0] |
$13^{5}\cdot 439\cdot 23087$ |
$3$ |
$18.0948454653$ |
$11478.567375766019$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$9$ |
$740.5689302205423$ |
