| 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 |
| 10.0.5406097412109375.1 |
$x^{10} - 10 x^{7} - 3 x^{5} + 25 x^{4} + 15 x^{2} + 36$ |
$10$ |
[0,5] |
$-\,3^{11}\cdot 5^{15}$ |
$2$ |
$37.435909326$ |
$91.41762507771502$ |
|
|
|
$A_5 \wr C_2$ (as 10T40) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$11803.3740503$ |
| 10.0.7593750000000000.4 |
$x^{10} + 20 x^{8} - 10 x^{7} + 70 x^{6} - 94 x^{5} + 100 x^{4} + 210 x^{3} - 255 x^{2} - 90 x + 144$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 3^{5}\cdot 5^{15}$ |
$3$ |
$38.7298334621$ |
$95.48644523696424$ |
|
|
|
$D_5^2 : C_2$ (as 10T21) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$233407.594288$ |
| 10.6.9000000000000000.2 |
$x^{10} - 20 x^{8} - 10 x^{7} + 140 x^{6} + 104 x^{5} - 375 x^{4} - 240 x^{3} + 130 x^{2} + 80 x + 4$ |
$10$ |
[6,2] |
$2^{15}\cdot 3^{2}\cdot 5^{15}$ |
$3$ |
$39.3934712093$ |
$67.51911293845532$ |
|
|
|
$D_5^2 : C_2$ (as 10T21) |
$[2]$ |
$[2]$ |
$2$ |
$7$ |
$96789.444993$ |
| 10.0.11390625000000000.5 |
$x^{10} - 20 x^{7} - 54 x^{5} + 100 x^{4} + 540 x^{2} + 864$ |
$10$ |
[0,5] |
$-\,2^{9}\cdot 3^{6}\cdot 5^{15}$ |
$3$ |
$40.3324640556$ |
$122.79698568465724$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$56013.4298937$ |
| 10.0.21624389648437500.1 |
$x^{10} + 10 x^{8} + 25 x^{6} - 9 x^{5} - 45 x^{3} + 54$ |
$10$ |
[0,5] |
$-\,2^{2}\cdot 3^{11}\cdot 5^{15}$ |
$3$ |
$43.0025674606$ |
$113.68146271339567$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$39137.4328352$ |
| 10.0.30375000000000000.3 |
$x^{10} - 5 x^{6} - 4 x^{5} + 100 x^{2} + 160 x + 64$ |
$10$ |
[0,5] |
$-\,2^{12}\cdot 3^{5}\cdot 5^{15}$ |
$3$ |
$44.4888959872$ |
$113.55316006211555$ |
|
|
|
$A_5 \wr C_2$ (as 10T40) |
$[6]$ |
$[6]$ |
$2$ |
$4$ |
$17011.1740721$ |
| 10.0.38443359375000000.6 |
$x^{10} - 10 x^{7} + 75 x^{6} + 42 x^{5} + 400 x^{4} + 1740 x^{2} + 1800 x + 576$ |
$10$ |
[0,5] |
$-\,2^{6}\cdot 3^{9}\cdot 5^{15}$ |
$3$ |
$45.5493446806$ |
$144.7974563140681$ |
|
|
|
$A_5 \wr C_2$ (as 10T40) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$149977.606474$ |
| 10.0.57665039062500000.1 |
$x^{10} - 20 x^{7} + 30 x^{6} + 100 x^{4} - 300 x^{3} + 225 x^{2} + 540$ |
$10$ |
[0,5] |
$-\,2^{5}\cdot 3^{10}\cdot 5^{15}$ |
$3$ |
$47.4341649025$ |
$217.6620257611859$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$240128.203156$ |
| 10.0.68343750000000000.11 |
$x^{10} + 20 x^{8} + 155 x^{6} - 44 x^{5} + 550 x^{4} - 440 x^{3} + 850 x^{2} - 1060 x + 544$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 3^{7}\cdot 5^{15}$ |
$3$ |
$48.2469518299$ |
$105.67312252020321$ |
|
|
|
$A_5 \wr C_2$ (as 10T40) |
$[6]$ |
$[6]$ |
$2$ |
$4$ |
$40845.3414462$ |
| 10.0.102515625000000000.4 |
$x^{10} + 15 x^{8} - 45 x^{7} + 135 x^{6} - 123 x^{5} - 75 x^{4} - 135 x^{3} + 180 x^{2} + 135 x + 216$ |
$10$ |
[0,5] |
$-\,2^{9}\cdot 3^{8}\cdot 5^{15}$ |
$3$ |
$50.243398345$ |
$243.5193239047124$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$277980.442095$ |
| 10.0.102515625000000000.8 |
$x^{10} + 10 x^{8} - 30 x^{7} + 55 x^{6} - 186 x^{5} + 750 x^{4} - 1380 x^{3} + 1440 x^{2} - 840 x + 384$ |
$10$ |
[0,5] |
$-\,2^{9}\cdot 3^{8}\cdot 5^{15}$ |
$3$ |
$50.243398345$ |
$229.8516344752711$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$923559.160457$ |
| 10.0.102...000.11 |
$x^{10} - 5 x^{8} - 20 x^{7} + 70 x^{6} + 94 x^{5} - 200 x^{4} - 560 x^{3} + 160 x^{2} + 840 x + 1984$ |
$10$ |
[0,5] |
$-\,2^{9}\cdot 3^{8}\cdot 5^{15}$ |
$3$ |
$50.243398345$ |
$161.82062053002988$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$533857.499604$ |
| 10.0.121500000000000000.1 |
$x^{10} + 20 x^{8} - 10 x^{7} + 80 x^{6} - 70 x^{5} + 200 x^{4} - 350 x^{3} + 475 x^{2} - 450 x + 240$ |
$10$ |
[0,5] |
$-\,2^{14}\cdot 3^{5}\cdot 5^{15}$ |
$3$ |
$51.1043216361$ |
$123.83059911631273$ |
|
|
|
$A_5 \wr C_2$ (as 10T40) |
$[6]$ |
$[6]$ |
$2$ |
$4$ |
$129632.12831$ |
| 10.0.153773437500000000.6 |
$x^{10} - 10 x^{8} - 15 x^{7} + 25 x^{6} + 78 x^{5} + 150 x^{4} - 15 x^{3} - 210 x^{2} + 96$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 3^{9}\cdot 5^{15}$ |
$3$ |
$52.3224573058$ |
$176.95013417807536$ |
|
|
|
$A_5 \wr C_2$ (as 10T40) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$372591.168155$ |
| 10.0.153...000.31 |
$x^{10} - 10 x^{7} - 60 x^{6} - 72 x^{5} + 400 x^{4} + 1800 x^{3} + 3360 x^{2} + 3360 x + 1536$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 3^{9}\cdot 5^{15}$ |
$3$ |
$52.3224573058$ |
$162.52964940427583$ |
|
|
|
$A_5 \wr C_2$ (as 10T40) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$256667.207822$ |
| 10.0.182250000000000000.6 |
$x^{10} + 5 x^{8} - 35 x^{7} + 50 x^{6} + 131 x^{5} - 100 x^{4} + 240 x^{3} + 120 x^{2} - 100 x + 544$ |
$10$ |
[0,5] |
$-\,2^{13}\cdot 3^{6}\cdot 5^{15}$ |
$3$ |
$53.2190053823$ |
$211.34624504040642$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$415112.232702$ |
| 10.0.182250000000000000.8 |
$x^{10} - 55 x^{6} - 44 x^{5} + 1600 x^{2} + 2560 x + 1024$ |
$10$ |
[0,5] |
$-\,2^{13}\cdot 3^{6}\cdot 5^{15}$ |
$3$ |
$53.2190053823$ |
$233.82704640316337$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$248524.122466$ |
| 10.0.194619506835937500.5 |
$x^{10} - 10 x^{8} + 25 x^{6} - 63 x^{5} + 315 x^{3} + 1296$ |
$10$ |
[0,5] |
$-\,2^{2}\cdot 3^{13}\cdot 5^{15}$ |
$3$ |
$53.5696287686$ |
$236.46697157101258$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$55847.9737358$ |
| 10.0.410062500000000000.5 |
$x^{10} + 10 x^{8} - 20 x^{7} + 25 x^{6} - 128 x^{5} + 100 x^{4} - 140 x^{3} + 280 x^{2} + 256$ |
$10$ |
[0,5] |
$-\,2^{11}\cdot 3^{8}\cdot 5^{15}$ |
$3$ |
$57.7145090284$ |
$161.82062053002988$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$1262331.70843$ |
| 10.0.410...000.19 |
$x^{10} - 20 x^{8} - 5 x^{7} + 190 x^{6} + 154 x^{5} - 800 x^{4} - 890 x^{3} + 1840 x^{2} + 4080 x + 2944$ |
$10$ |
[0,5] |
$-\,2^{11}\cdot 3^{8}\cdot 5^{15}$ |
$3$ |
$57.7145090284$ |
$171.44297535788675$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$916760.431962$ |
| 10.0.518985351562500000.8 |
$x^{10} - 20 x^{7} + 30 x^{6} + 15 x^{5} + 100 x^{4} - 300 x^{3} + 75 x^{2} + 225 x + 2790$ |
$10$ |
[0,5] |
$-\,2^{5}\cdot 3^{12}\cdot 5^{15}$ |
$3$ |
$59.0902068139$ |
$543.7305217973409$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$732471.279513$ |
| 10.0.615...000.16 |
$x^{10} + 5 x^{8} - 10 x^{7} + 85 x^{6} + 292 x^{5} + 1300 x^{4} + 2030 x^{3} + 3140 x^{2} + 1560 x + 976$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 3^{9}\cdot 5^{15}$ |
$3$ |
$60.1027206366$ |
$222.94319883267937$ |
|
|
|
$(A_5^2 : C_2):C_2$ (as 10T41) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$316773.865115$ |
| 10.0.729000000000000000.6 |
$x^{10} - 20 x^{8} - 50 x^{7} + 85 x^{6} + 484 x^{5} + 1150 x^{4} + 2410 x^{3} + 2200 x^{2} - 1380 x + 304$ |
$10$ |
[0,5] |
$-\,2^{15}\cdot 3^{6}\cdot 5^{15}$ |
$3$ |
$61.1325839373$ |
$223.91354675172684$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$1764841.43307$ |
| 10.0.729...000.13 |
$x^{10} + 15 x^{8} + 140 x^{6} - 46 x^{5} + 675 x^{4} + 180 x^{3} + 1525 x^{2} + 2330 x + 1264$ |
$10$ |
[0,5] |
$-\,2^{15}\cdot 3^{6}\cdot 5^{15}$ |
$3$ |
$61.1325839373$ |
$230.47471448632956$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$399019.708708$ |
| 10.0.922640625000000000.5 |
$x^{10} - 40 x^{7} - 72 x^{5} + 400 x^{4} + 1440 x^{2} + 3456$ |
$10$ |
[0,5] |
$-\,2^{9}\cdot 3^{10}\cdot 5^{15}$ |
$3$ |
$62.5897558298$ |
$212.69061822213445$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$434797.243767$ |
| 10.0.164...000.4 |
$x^{10} - 5 x^{8} - 35 x^{7} + 130 x^{6} - 125 x^{5} - 50 x^{4} - 50 x^{3} + 1000 x^{2} - 450 x + 160$ |
$10$ |
[0,5] |
$-\,2^{13}\cdot 3^{8}\cdot 5^{15}$ |
$3$ |
$66.2965615803$ |
$409.5490530329617$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$2489031.7509$ |
| 10.0.164...000.10 |
$x^{10} + 20 x^{8} - 10 x^{7} + 115 x^{6} - 146 x^{5} + 550 x^{4} - 160 x^{3} + 230 x^{2} - 420 x + 544$ |
$10$ |
[0,5] |
$-\,2^{13}\cdot 3^{8}\cdot 5^{15}$ |
$3$ |
$66.2965615803$ |
$344.38833056597093$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$4$ |
$261748.857671$ |
| 10.0.164...000.11 |
$x^{10} - 10 x^{7} + 75 x^{6} + 12 x^{5} + 400 x^{4} + 540 x^{2} + 576$ |
$10$ |
[0,5] |
$-\,2^{13}\cdot 3^{8}\cdot 5^{15}$ |
$3$ |
$66.2965615803$ |
$381.0207564206384$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$991072.972808$ |
| 10.0.164...000.12 |
$x^{10} - 5 x^{8} - 10 x^{7} + 130 x^{6} + 440 x^{5} + 700 x^{4} + 200 x^{3} - 200 x^{2} + 640$ |
$10$ |
[0,5] |
$-\,2^{13}\cdot 3^{8}\cdot 5^{15}$ |
$3$ |
$66.2965615803$ |
$228.84891622519837$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$2376168.86302$ |
| 10.0.164...000.24 |
$x^{10} + 45 x^{6} - 66 x^{5} + 600 x^{2} - 2160 x + 2304$ |
$10$ |
[0,5] |
$-\,2^{13}\cdot 3^{8}\cdot 5^{15}$ |
$3$ |
$66.2965615803$ |
$305.47665396101416$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$2694918.64357$ |
| 10.0.164...000.37 |
$x^{10} + 40 x^{8} - 25 x^{7} + 655 x^{6} - 505 x^{5} + 6100 x^{4} + 650 x^{3} + 28450 x^{2} + 16950 x + 16840$ |
$10$ |
[0,5] |
$-\,2^{13}\cdot 3^{8}\cdot 5^{15}$ |
$3$ |
$66.2965615803$ |
$242.45698092471977$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$704197.408285$ |
| 10.0.207...000.2 |
$x^{10} + 15 x^{8} - 35 x^{7} + 150 x^{6} - 453 x^{5} + 400 x^{4} - 210 x^{3} + 240 x^{2} + 96$ |
$10$ |
[0,5] |
$-\,2^{7}\cdot 3^{12}\cdot 5^{15}$ |
$3$ |
$67.8768233636$ |
$423.1700863636807$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$1995045.04757$ |
| 10.0.246...000.6 |
$x^{10} + 15 x^{8} - 35 x^{7} + 195 x^{6} - 462 x^{5} + 925 x^{4} - 1215 x^{3} + 960 x^{2} - 420 x + 96$ |
$10$ |
[0,5] |
$-\,2^{12}\cdot 3^{9}\cdot 5^{15}$ |
$3$ |
$69.0398963261$ |
$344.38833056597093$ |
|
|
|
$(A_5^2 : C_2):C_2$ (as 10T41) |
$[2, 2]$ |
$[2, 2]$ |
$2$ |
$4$ |
$442383.850163$ |
| 10.2.409...000.17 |
$x^{10} + 120 x^{6} - 416 x^{5} - 400 x^{2} + 640 x + 2304$ |
$10$ |
[2,4] |
$2^{27}\cdot 5^{15}$ |
$2$ |
$72.6500629255858$ |
$125.56084167276711$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
$[6]$ |
$[6]$ |
$2$ |
$5$ |
$219621.5167700988$ |
| 10.0.656...000.11 |
$x^{10} - 30 x^{6} - 12 x^{5} + 600 x^{2} + 1080 x + 576$ |
$10$ |
[0,5] |
$-\,2^{15}\cdot 3^{8}\cdot 5^{15}$ |
$3$ |
$76.1547512293$ |
$309.0261217053452$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$1328686.43093$ |
| 10.0.147...000.13 |
$x^{10} - 80 x^{7} - 120 x^{6} - 72 x^{5} + 1600 x^{4} + 4800 x^{3} + 6480 x^{2} + 4320 x + 3456$ |
$10$ |
[0,5] |
$-\,2^{13}\cdot 3^{10}\cdot 5^{15}$ |
$3$ |
$82.5876779507$ |
$405.0003245540444$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$4093697.44484$ |
| 10.0.186...000.2 |
$x^{10} - 15 x^{8} - 30 x^{7} + 150 x^{6} - 126 x^{5} + 600 x^{4} - 180 x^{3} - 360 x^{2} + 144$ |
$10$ |
[0,5] |
$-\,2^{7}\cdot 3^{14}\cdot 5^{15}$ |
$3$ |
$84.5562589468$ |
$403.35907958801755$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$9401767.20909$ |
| 10.0.262...000.45 |
$x^{10} + 20 x^{8} - 20 x^{7} + 55 x^{6} - 100 x^{5} + 1150 x^{4} - 3800 x^{3} + 8300 x^{2} - 9600 x + 5440$ |
$10$ |
[0,5] |
$-\,2^{17}\cdot 3^{8}\cdot 5^{15}$ |
$3$ |
$87.4788374623$ |
$409.5490530329617$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$2015766.31429$ |
| 10.0.332...000.10 |
$x^{10} + 10 x^{8} - 100 x^{7} + 505 x^{6} - 2020 x^{5} + 3400 x^{4} - 2200 x^{3} + 2800 x^{2} - 2400 x + 640$ |
$10$ |
[0,5] |
$-\,2^{11}\cdot 3^{12}\cdot 5^{15}$ |
$3$ |
$89.5640053864$ |
$914.4420932868312$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
$4$ |
$798344.308733$ |
| 10.0.332...000.46 |
$x^{10} - 25 x^{7} - 75 x^{6} + 225 x^{5} + 1000 x^{4} - 7500 x^{3} + 31500 x^{2} - 67500 x + 54000$ |
$10$ |
[0,5] |
$-\,2^{11}\cdot 3^{12}\cdot 5^{15}$ |
$3$ |
$89.5640053864$ |
$448.33308913915533$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$3267339.77591$ |
| 10.0.393...000.78 |
$x^{10} + 120 x^{6} - 192 x^{5} + 9600 x^{2} - 30720 x + 24576$ |
$10$ |
[0,5] |
$-\,2^{16}\cdot 3^{9}\cdot 5^{15}$ |
$3$ |
$91.0986893612$ |
$296.3604348197887$ |
|
|
|
$(A_5^2 : C_2):C_2$ (as 10T41) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$9669988.25096$ |
| 10.0.393...000.80 |
$x^{10} - 180 x^{6} - 288 x^{5} + 9600 x^{2} + 30720 x + 24576$ |
$10$ |
[0,5] |
$-\,2^{16}\cdot 3^{9}\cdot 5^{15}$ |
$3$ |
$91.0986893612$ |
$271.76371697564065$ |
|
|
|
$(A_5^2 : C_2):C_2$ (as 10T41) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$3611124.14237$ |
| 10.0.466...000.18 |
$x^{10} + 20 x^{8} - 40 x^{7} + 140 x^{6} - 464 x^{5} + 800 x^{4} - 1440 x^{3} + 2055 x^{2} - 3080 x + 3184$ |
$10$ |
[0,5] |
$-\,2^{21}\cdot 3^{6}\cdot 5^{15}$ |
$3$ |
$92.6596702273$ |
$325.9404670106341$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$4558774.75521$ |
| 10.2.829...000.28 |
$x^{10} - 10 x^{8} - 100 x^{7} - 285 x^{6} + 604 x^{5} + 2800 x^{4} - 720 x^{3} - 4300 x^{2} - 3120 x - 7536$ |
$10$ |
[2,4] |
$2^{25}\cdot 3^{4}\cdot 5^{15}$ |
$3$ |
$98.1473318085$ |
$160.58841901016672$ |
|
|
|
$C_5^2 : C_4$ (as 10T10) |
$[2]$ |
$[2]$ |
$2$ |
$5$ |
$32817109.0687$ |
| 10.0.885...000.6 |
$x^{10} - 5 x^{8} + 55 x^{6} - 6 x^{5} - 450 x^{4} + 240 x^{3} + 1350 x^{2} - 540 x + 144$ |
$10$ |
[0,5] |
$-\,2^{14}\cdot 3^{11}\cdot 5^{15}$ |
$3$ |
$98.7939570054$ |
$670.6426545314673$ |
|
|
|
$(A_5^2 : C_2):C_2$ (as 10T41) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$10533359.4737$ |
| 10.0.104...000.91 |
$x^{10} - 20 x^{8} - 40 x^{7} + 115 x^{6} + 596 x^{5} + 250 x^{4} - 2260 x^{3} - 3770 x^{2} + 720 x + 11104$ |
$10$ |
[0,5] |
$-\,2^{19}\cdot 3^{8}\cdot 5^{15}$ |
$3$ |
$100.48679669$ |
$314.42780316444197$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$9455199.4398$ |
| 10.0.104...000.122 |
$x^{10} - 20 x^{8} - 20 x^{7} + 130 x^{6} - 176 x^{5} + 1300 x^{4} - 2540 x^{3} + 7585 x^{2} - 840 x + 36304$ |
$10$ |
[0,5] |
$-\,2^{19}\cdot 3^{8}\cdot 5^{15}$ |
$3$ |
$100.48679669$ |
$352.9332759853759$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$9689556.87023$ |
| 10.0.531...000.23 |
$x^{10} - 25 x^{8} - 50 x^{7} + 175 x^{6} + 1100 x^{5} - 875 x^{4} - 4250 x^{3} + 21500 x^{2} - 15000 x + 4000$ |
$10$ |
[0,5] |
$-\,2^{15}\cdot 3^{12}\cdot 5^{15}$ |
$3$ |
$118.180413628$ |
$1152.12484224201$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$20571434.8381$ |
| 10.0.531...000.64 |
$x^{10} - 30 x^{8} - 60 x^{7} + 555 x^{6} + 1908 x^{5} - 300 x^{4} + 1080 x^{3} + 21060 x^{2} + 15120 x + 61056$ |
$10$ |
[0,5] |
$-\,2^{15}\cdot 3^{12}\cdot 5^{15}$ |
$3$ |
$118.180413628$ |
$627.8459262526209$ |
|
|
|
$S_5^2 \wr C_2$ (as 10T43) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$18457566.4983$ |
| 20.0.112...000.1 |
$x^{20} - 15 x^{17} - 25 x^{16} - 19 x^{15} + 135 x^{14} + 360 x^{13} + 195 x^{12} - 345 x^{11} - 1749 x^{10} - 795 x^{9} + 305 x^{8} + 2655 x^{7} + 3465 x^{6} - 574 x^{5} + 3760 x^{4} - 2315 x^{3} + 6165 x^{2} - 920 x + 2116$ |
$20$ |
[0,10] |
$2^{19}\cdot 3^{15}\cdot 5^{26}$ |
$3$ |
$35.6845679206$ |
|
|
|
|
$D_5^2\wr C_2$ (as 20T486) |
$[2]$ |
$[2]$ |
$2$ |
$9$ |
$82936900.7397$ |
