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 |
10.2.12500000000.1 |
$x^{10} - 5 x^{9} + 15 x^{8} - 30 x^{7} + 45 x^{6} - 49 x^{5} + 35 x^{4} - 10 x^{3} - 5 x^{2} + 5 x - 1$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{11}$ |
$2$ |
$10.2256518256$ |
$11.08254495193135$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$11.2490967281$ |
10.2.16063620352.1 |
$x^{10} - x^{9} - 3 x^{8} + 5 x^{6} + x^{5} - 5 x^{4} + 3 x^{2} - x - 1$ |
$10$ |
[2,4] |
$2^{8}\cdot 13^{7}$ |
$2$ |
$10.4853840759$ |
$11.920144243683046$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$11.9464729334$ |
10.2.30517578125.1 |
$x^{10} - x^{5} - 1$ |
$10$ |
[2,4] |
$5^{15}$ |
$1$ |
$11.1803398875$ |
$12.117234333213267$ |
|
|
✓ |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$19.26839925$ |
10.2.33237432513.1 |
$x^{10} - x^{9} - 2 x^{8} + 7 x^{7} + x^{6} - 3 x^{5} - x^{4} + 7 x^{3} + 2 x^{2} - x - 1$ |
$10$ |
[2,4] |
$3^{4}\cdot 17^{7}$ |
$2$ |
$11.2761993959$ |
$14.500978825806921$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$16.5924453165$ |
10.2.131220000000.2 |
$x^{10} - 3 x^{9} + 5 x^{8} - 12 x^{7} + 25 x^{6} - 33 x^{5} + 25 x^{4} - 12 x^{3} + 5 x^{2} - 3 x + 1$ |
$10$ |
[2,4] |
$2^{8}\cdot 3^{8}\cdot 5^{7}$ |
$3$ |
$12.9359998941$ |
$14.020015815993006$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$54.9005423291$ |
10.2.146418828125.1 |
$x^{10} + x^{8} + x^{6} + 11 x^{4} + 11 x^{2} - 5$ |
$10$ |
[2,4] |
$5^{7}\cdot 37^{4}$ |
$2$ |
$13.0785528792$ |
$20.33894234805392$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$58.9013919888$ |
10.2.200000000000.1 |
$x^{10} + 5 x^{8} + 5 x^{6} - 5 x^{4} - 5 x^{2} - 5$ |
$10$ |
[2,4] |
$2^{12}\cdot 5^{11}$ |
$2$ |
$13.4928284767$ |
$18.00364738986388$ |
|
|
|
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$80.4922034387$ |
10.2.220150628352.1 |
$x^{10} + 2 x^{8} + 10 x^{6} - 8 x^{4} - 7 x^{2} - 2$ |
$10$ |
[2,4] |
$2^{25}\cdot 3^{8}$ |
$2$ |
$13.6229760447$ |
$16.20054003982431$ |
|
|
|
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$214.411536728$ |
10.2.320361328125.1 |
$x^{10} - 5 x^{9} + 5 x^{8} + 10 x^{7} - 15 x^{6} - 8 x^{5} + 40 x^{3} - 35 x^{2} + 10 x - 4$ |
$10$ |
[2,4] |
$3^{8}\cdot 5^{11}$ |
$2$ |
$14.1437316727$ |
$15.328953569291674$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$72.2077929702$ |
10.2.450375078125.1 |
$x^{10} - x^{8} + 6 x^{6} - 11 x^{4} + 6 x^{2} - 5$ |
$10$ |
[2,4] |
$5^{7}\cdot 7^{8}$ |
$2$ |
$14.6338107761$ |
$15.860100510897633$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$113.325900164$ |
10.2.491270438912.1 |
$x^{10} - 2 x^{9} + x^{8} - 6 x^{6} - 20 x^{5} - 6 x^{4} + x^{2} - 2 x + 1$ |
$10$ |
[2,4] |
$2^{25}\cdot 11^{4}$ |
$2$ |
$14.761553444$ |
$22.311503175611666$ |
|
|
|
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$348.320899579$ |
10.2.571220000000.1 |
$x^{10} - 5 x^{9} + 19 x^{8} - 46 x^{7} + 89 x^{6} - 127 x^{5} + 149 x^{4} - 130 x^{3} + 95 x^{2} - 45 x + 5$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{7}\cdot 13^{4}$ |
$3$ |
$14.9858140877$ |
$20.99051895628543$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$132.376549036$ |
10.2.616443828125.1 |
$x^{10} - 3 x^{9} + 3 x^{7} + 10 x^{6} - 23 x^{5} + 10 x^{4} + 3 x^{3} - 3 x + 1$ |
$10$ |
[2,4] |
$5^{7}\cdot 53^{4}$ |
$2$ |
$15.1004312667$ |
$24.342514538096598$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$132.993863379$ |
10.2.768320000000.1 |
$x^{10} - 3 x^{9} + 5 x^{8} + 8 x^{7} - 35 x^{6} + 57 x^{5} - 35 x^{4} + 8 x^{3} + 5 x^{2} - 3 x + 1$ |
$10$ |
[2,4] |
$2^{12}\cdot 5^{7}\cdot 7^{4}$ |
$3$ |
$15.4366911056$ |
$25.021971019484877$ |
|
|
|
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$208.709148831$ |
10.2.958348132352.1 |
$x^{10} - 4 x^{9} + 6 x^{8} - 30 x^{6} + 72 x^{5} - 60 x^{4} + 48 x^{2} - 64 x + 32$ |
$10$ |
[2,4] |
$2^{25}\cdot 13^{4}$ |
$2$ |
$15.7816471861$ |
$24.255161140409015$ |
|
|
|
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$566.496307909$ |
10.2.1012500000000.1 |
$x^{10} - 5 x^{8} - 10 x^{7} - 15 x^{6} + 24 x^{5} + 65 x^{4} + 30 x^{3} + 30 x^{2} + 20 x + 4$ |
$10$ |
[2,4] |
$2^{8}\cdot 3^{4}\cdot 5^{11}$ |
$3$ |
$15.868632526$ |
$22.049874807078353$ |
|
|
|
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$208.058464697$ |
10.2.1394580078125.1 |
$x^{10} - 10 x^{8} + 30 x^{6} - 11 x^{5} - 30 x^{4} + 10 x^{2} - 1$ |
$10$ |
[2,4] |
$5^{11}\cdot 13^{4}$ |
$2$ |
$16.3849207707$ |
$22.950237339189933$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$168.372771574$ |
10.2.1670420000000.2 |
$x^{10} - 2 x^{9} - x^{8} + 14 x^{7} - 26 x^{6} + 38 x^{5} - 54 x^{4} + 30 x^{3} - 35 x^{2} + 20 x - 5$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{7}\cdot 17^{4}$ |
$3$ |
$16.6833233848$ |
$24.00357675738704$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$243.664620978$ |
10.2.1698693120000.1 |
$x^{10} - 2 x^{9} - x^{8} + 12 x^{7} - 17 x^{6} - 2 x^{5} + 41 x^{4} - 48 x^{3} + 6 x^{2} + 36 x - 18$ |
$10$ |
[2,4] |
$2^{25}\cdot 3^{4}\cdot 5^{4}$ |
$3$ |
$16.7113483715$ |
$26.054222497305222$ |
|
|
|
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$758.765109338$ |
10.2.1770868828125.1 |
$x^{10} - 3 x^{9} + 10 x^{8} - 27 x^{7} + 50 x^{6} - 63 x^{5} + 50 x^{4} - 27 x^{3} + 10 x^{2} - 3 x + 1$ |
$10$ |
[2,4] |
$3^{4}\cdot 5^{7}\cdot 23^{4}$ |
$3$ |
$16.7810309865$ |
$27.77487087706129$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$260.675718371$ |
10.2.2099520000000.5 |
$x^{10} - 3 x^{9} + 2 x^{8} + 15 x^{7} - 29 x^{6} + 30 x^{5} - 17 x^{4} + 21 x^{3} - 4 x^{2} - 15 x - 5$ |
$10$ |
[2,4] |
$2^{12}\cdot 3^{8}\cdot 5^{7}$ |
$3$ |
$17.069154194$ |
$22.775582886985283$ |
|
|
|
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$392.249740018$ |
10.2.2218612578125.1 |
$x^{10} - 3 x^{9} + 2 x^{8} + 5 x^{7} + x^{6} - 30 x^{5} + 38 x^{4} + 6 x^{3} - 39 x^{2} + 25 x - 5$ |
$10$ |
[2,4] |
$5^{7}\cdot 73^{4}$ |
$2$ |
$17.1635906097$ |
$28.56859835181669$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$295.220316682$ |
10.2.2621440000000.1 |
$x^{10} - 6 x^{8} + 26 x^{6} - 56 x^{4} + 41 x^{2} - 10$ |
$10$ |
[2,4] |
$2^{25}\cdot 5^{7}$ |
$2$ |
$17.452353142$ |
$22.493653007613965$ |
|
|
|
$F_5$ (as 10T4) |
$[2]$ |
$2$ |
$5$ |
$602.123090501$ |
10.2.3889620000000.1 |
$x^{10} - x^{9} - 5 x^{8} + 10 x^{7} - 15 x^{6} + 19 x^{5} - 9 x^{4} + 10 x^{3} + 35 x^{2} - 25 x + 5$ |
$10$ |
[2,4] |
$2^{8}\cdot 3^{4}\cdot 5^{7}\cdot 7^{4}$ |
$4$ |
$18.1547685865$ |
$26.67848399443575$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$421.160340288$ |
10.2.4078173828125.1 |
$x^{10} - 5 x^{9} + 10 x^{8} - 5 x^{7} - 10 x^{6} + x^{5} + 10 x^{4} - 5 x^{3} - 10 x^{2} - 5 x - 1$ |
$10$ |
[2,4] |
$5^{11}\cdot 17^{4}$ |
$2$ |
$18.2409130562$ |
$26.244600465513358$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$303.348055515$ |
10.2.4372847132672.1 |
$x^{10} - 4 x^{9} + 4 x^{8} - 4 x^{7} + 15 x^{6} - 16 x^{5} + 26 x^{4} - 56 x^{3} + 50 x^{2} - 48 x + 28$ |
$10$ |
[2,4] |
$2^{25}\cdot 19^{4}$ |
$2$ |
$18.3686157595$ |
$29.323059968612448$ |
|
|
|
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$1353.71348669$ |
10.2.4415968335104.1 |
$x^{10} - 3 x^{9} + 7 x^{8} - 12 x^{7} - 7 x^{6} + 61 x^{5} - 69 x^{4} + 32 x^{3} - 21 x^{2} + 7 x - 5$ |
$10$ |
[2,4] |
$2^{8}\cdot 29^{7}$ |
$2$ |
$18.3866494049$ |
$21.758176478524742$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$348.878664283$ |
10.2.4901737578125.1 |
$x^{10} - 4 x^{9} + 13 x^{8} - 30 x^{7} + 46 x^{6} - 55 x^{5} + 47 x^{4} - 8 x^{3} - 9 x^{2} - 5 x + 5$ |
$10$ |
[2,4] |
$5^{7}\cdot 89^{4}$ |
$2$ |
$18.5795420683$ |
$31.544417096966722$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$404.050811317$ |
10.2.5596820000000.1 |
$x^{10} - 4 x^{9} + 3 x^{8} + 10 x^{7} - 14 x^{6} - 20 x^{5} - 8 x^{4} + 232 x^{3} - 344 x^{2} + 80 x + 80$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{7}\cdot 23^{4}$ |
$3$ |
$18.8275640612$ |
$32.07165835515686$ |
|
|
|
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$654.279061176$ |
10.2.9139520000000.1 |
$x^{10} + x^{8} + x^{6} - 9 x^{4} - 9 x^{2} - 5$ |
$10$ |
[2,4] |
$2^{12}\cdot 5^{7}\cdot 13^{4}$ |
$3$ |
$19.7739002382$ |
$34.09919864600766$ |
|
|
|
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$849.031969539$ |
10.2.9389905805312.1 |
$x^{10} - 4 x^{9} + 8 x^{8} - 12 x^{7} - 5 x^{6} - 32 x^{5} + 78 x^{4} + 38 x^{2} - 48 x + 68$ |
$10$ |
[2,4] |
$2^{25}\cdot 23^{4}$ |
$2$ |
$19.8274162249$ |
$32.262380288915416$ |
|
|
|
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$1845.67477299$ |
10.2.9496142578125.1 |
$x^{10} - 5 x^{8} - 10 x^{7} + 15 x^{5} + 5 x^{4} - 30 x^{3} - 45 x^{2} - 25 x - 5$ |
$10$ |
[2,4] |
$3^{4}\cdot 5^{11}\cdot 7^{4}$ |
$3$ |
$19.8497354337$ |
$29.169242589818822$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$520.679132541$ |
10.2.10039762720000.1 |
$x^{10} - 5 x^{9} + 5 x^{8} + 10 x^{7} - 11 x^{6} - 23 x^{5} + 19 x^{4} + 22 x^{3} - 27 x^{2} + 9 x - 1$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{4}\cdot 13^{7}$ |
$3$ |
$19.9605426951$ |
$26.65425283047811$ |
|
|
|
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$921.552781567$ |
10.2.11027981328125.1 |
$x^{10} + x^{8} + x^{6} + 21 x^{4} + 21 x^{2} - 20$ |
$10$ |
[2,4] |
$5^{7}\cdot 109^{4}$ |
$2$ |
$20.1488193091$ |
$34.90926879408082$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$681.222523418$ |
10.2.14145620000000.1 |
$x^{10} - 5 x^{9} + 19 x^{8} - 46 x^{7} + 89 x^{6} - 127 x^{5} + 139 x^{4} - 110 x^{3} + 55 x^{2} - 15 x - 5$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{7}\cdot 29^{4}$ |
$3$ |
$20.6567597632$ |
$31.350935080608856$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$775.280098178$ |
10.2.14639743828125.1 |
$x^{10} - x^{9} - 4 x^{8} + 23 x^{7} - 6 x^{6} - x^{5} + 54 x^{4} + 65 x^{3} - 50 x^{2} + 35 x + 5$ |
$10$ |
[2,4] |
$3^{8}\cdot 5^{7}\cdot 13^{4}$ |
$3$ |
$20.7278065955$ |
$29.033285393546965$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$801.670270505$ |
10.2.16200000000000.2 |
$x^{10} - 5 x^{8} - 5 x^{6} - 22 x^{5} + 30 x^{4} + 60 x^{3} + 60 x^{2} + 200 x + 176$ |
$10$ |
[2,4] |
$2^{12}\cdot 3^{4}\cdot 5^{11}$ |
$3$ |
$20.9387861512$ |
$31.18323200079904$ |
|
|
|
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$1078.45933961$ |
10.2.16746787578125.1 |
$x^{10} - 3 x^{9} + 6 x^{8} + 11 x^{7} - 29 x^{6} - 15 x^{5} - 6 x^{4} - 55 x^{3} + 65 x^{2} + 200 x + 100$ |
$10$ |
[2,4] |
$5^{7}\cdot 11^{8}$ |
$2$ |
$21.0084083865$ |
$22.76887911715532$ |
|
|
? |
$F_5$ (as 10T4) |
$[5]$ |
$2$ |
$5$ |
$176.000401853$ |
10.2.18470420000000.1 |
$x^{10} - 5 x^{9} + 9 x^{8} - 6 x^{7} - x^{6} + 3 x^{5} + 19 x^{4} - 40 x^{3} + 20 x^{2} - 80$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{7}\cdot 31^{4}$ |
$3$ |
$21.2152267109$ |
$37.23388438035803$ |
|
|
|
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$1217.10510856$ |
10.2.19073486328125.3 |
$x^{10} - 5$ |
$10$ |
[2,4] |
$5^{19}$ |
$1$ |
$21.283498063$ |
$23.067020864764707$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$654.809844136$ |
10.2.21634600078125.1 |
$x^{10} - 5 x^{9} + 9 x^{8} - 6 x^{7} - x^{6} + 3 x^{5} - 6 x^{4} + 10 x^{3} - 5 x^{2} - 5$ |
$10$ |
[2,4] |
$3^{4}\cdot 5^{7}\cdot 43^{4}$ |
$3$ |
$21.5533552492$ |
$37.97714899103623$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$1120.2581361$ |
10.2.23718420000000.1 |
$x^{10} - 4 x^{8} + 16 x^{6} - 44 x^{4} - 4 x^{2} - 20$ |
$10$ |
[2,4] |
$2^{8}\cdot 3^{4}\cdot 5^{7}\cdot 11^{4}$ |
$4$ |
$21.7524698572$ |
$33.44324956582635$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$1350.79412423$ |
10.2.24302560546048.1 |
$x^{10} - 3 x^{9} + 5 x^{8} - 8 x^{7} + 3 x^{6} - 17 x^{5} + 73 x^{4} + 26 x^{3} + 5 x^{2} + 11 x + 3$ |
$10$ |
[2,4] |
$2^{8}\cdot 37^{7}$ |
$2$ |
$21.8054575174$ |
$26.12012732284832$ |
|
|
|
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$1456.25862492$ |
10.10.30012500000000.1 |
$x^{10} - 15 x^{8} + 60 x^{6} - 4 x^{5} - 60 x^{4} + 15 x^{2} - 1$ |
$10$ |
[10,0] |
$2^{8}\cdot 5^{11}\cdot 7^{4}$ |
$3$ |
$22.2705128056$ |
$29.321657836504627$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$9$ |
$3191.07917085$ |
10.2.30012500000000.1 |
$x^{10} - 5 x^{9} + 15 x^{8} - 30 x^{7} + 75 x^{6} - 141 x^{5} + 225 x^{4} - 240 x^{3} + 375 x^{2} - 275 x + 59$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{11}\cdot 7^{4}$ |
$3$ |
$22.2705128056$ |
$33.68174012257879$ |
|
|
|
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$1292.04669584$ |
10.2.32057708828125.2 |
$x^{10} - 5 x^{9} + 11 x^{8} - 14 x^{7} + 28 x^{6} - 56 x^{5} + 51 x^{4} - 15 x^{3} + 2 x^{2} - 3 x - 1$ |
$10$ |
[2,4] |
$5^{7}\cdot 17^{7}$ |
$2$ |
$22.4178133024$ |
$27.99395075493803$ |
|
|
? |
$F_5$ (as 10T4) |
$[2]$ |
$2$ |
$5$ |
$549.30468364$ |
10.2.34535205078125.1 |
$x^{10} + 5 x^{8} - 10 x^{7} + 10 x^{6} - 15 x^{5} + 5 x^{4} + 30 x^{3} - 45 x^{2} + 25 x - 5$ |
$10$ |
[2,4] |
$5^{11}\cdot 29^{4}$ |
$2$ |
$22.5853176956$ |
$34.27792339979557$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$933.696420339$ |
10.2.38506593828125.1 |
$x^{10} - 5 x^{9} - x^{8} + 34 x^{7} - 21 x^{6} - 77 x^{5} + 64 x^{4} + 50 x^{3} - 55 x^{2} + 10 x - 5$ |
$10$ |
[2,4] |
$5^{7}\cdot 149^{4}$ |
$2$ |
$22.8325023175$ |
$40.81507862588707$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$1372.52912863$ |
10.2.39792905551872.1 |
$x^{10} - 12 x^{8} + 50 x^{6} - 76 x^{4} + 81 x^{2} - 8$ |
$10$ |
[2,4] |
$2^{25}\cdot 3^{4}\cdot 11^{4}$ |
$3$ |
$22.9076513762$ |
$38.644657093393754$ |
|
|
|
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$5131.9570106$ |
10.2.41702720000000.1 |
$x^{10} + 4 x^{8} - 8 x^{7} + 23 x^{6} - 8 x^{5} + 14 x^{4} - 100 x^{3} - 13 x^{2} - 4 x - 4$ |
$10$ |
[2,4] |
$2^{12}\cdot 5^{7}\cdot 19^{4}$ |
$3$ |
$23.0152892951$ |
$41.223921003464$ |
|
|
|
$F_5$ (as 10T4) |
trivial |
$2$ |
$5$ |
$2084.04171276$ |