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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
10.2.21894529024.1	$x^{10} + 2 x^{6} - 4 x^{4} - 3 x^{2} - 4$	$10$	[2,4]	$2^{18}\cdot 17^{4}$	$2$	$10.8151752393$	$35.814582707036095$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$23.3313477912$
10.2.185409470464.1	$x^{10} - x^{8} + 4 x^{6} + 4 x^{2} - 4$	$10$	[2,4]	$2^{18}\cdot 29^{4}$	$2$	$13.3910055906$	$51.13198031248318$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$85.2139709132$
10.2.350312464384.1	$x^{10} + 3 x^{8} + 4 x^{6} - 8 x^{4} - 3 x^{2} - 1$	$10$	[2,4]	$2^{22}\cdot 17^{4}$	$2$	$14.2707092847$	$56.443096321821045$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$150.168513196$
10.2.350312464384.2	$x^{10} - x^{8} + 4 x^{6} - 4 x^{4} + 5 x^{2} - 1$	$10$	[2,4]	$2^{22}\cdot 17^{4}$	$2$	$14.2707092847$	$56.443096321821045$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$158.232666789$
10.2.468337659904.1	$x^{10} - 3 x^{9} + 4 x^{8} + 2 x^{7} + x^{6} - 21 x^{5} + 40 x^{4} - 20 x^{3} - 13 x^{2} + 9 x - 2$	$10$	[2,4]	$2^{12}\cdot 17^{4}\cdot 37^{2}$	$3$	$14.6911538954$	$113.74835807251127$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$233.974111537$
10.2.540335255625.1	$x^{10} - 5 x^{9} + 12 x^{8} - 18 x^{7} + 24 x^{6} - 30 x^{5} + 9 x^{4} + 21 x^{3} - 6 x^{2} - 8 x + 1$	$10$	[2,4]	$3^{10}\cdot 5^{4}\cdot 11^{4}$	$3$	$14.9027470654$	$57.46834288976352$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$159.730333551$
10.2.575073488896.1	$x^{10} - 3 x^{9} + 4 x^{8} + 2 x^{7} - 19 x^{6} + 35 x^{5} - 40 x^{4} + 40 x^{3} - 45 x^{2} + 49 x - 22$	$10$	[2,4]	$2^{12}\cdot 17^{4}\cdot 41^{2}$	$3$	$14.9958930603$	$119.73915879740562$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$254.537119467$
10.2.662309502976.1	$x^{10} - 3 x^{9} + 7 x^{8} - 10 x^{7} - 4 x^{6} + 6 x^{5} + 28 x^{4} - 18 x^{3} - 15 x^{2} + 7 x - 1$	$10$	[2,4]	$2^{16}\cdot 11^{2}\cdot 17^{4}$	$3$	$15.2091904664$	$99.88464697515532$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$158.019253961$
10.2.755703353344.2	$x^{10} + 3 x^{8} - 6 x^{7} - 11 x^{6} - 28 x^{5} - 11 x^{4} - 2 x^{3} - 4 x^{2} - 4 x - 2$	$10$	[2,4]	$2^{12}\cdot 17^{4}\cdot 47^{2}$	$3$	$15.4111531011$	$128.20152856923136$				$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$706.346873654$
10.2.833432055625.1	$x^{10} - x^{9} + 2 x^{8} + 2 x^{7} - 3 x^{6} + 11 x^{5} - 3 x^{4} + 2 x^{3} + 2 x^{2} - x + 1$	$10$	[2,4]	$5^{4}\cdot 13^{2}\cdot 53^{4}$	$3$	$15.5627743329$	$113.75589841099051$				$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$180.609745055$
10.2.896218169344.1	$x^{10} + 3 x^{8} + 4 x^{6} + 4 x^{2} - 4$	$10$	[2,4]	$2^{18}\cdot 43^{4}$	$2$	$15.6762208913$	$58.38435149384349$				$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$581.125042271$
10.2.954177312400.1	$x^{10} - 2 x^{9} + 2 x^{8} + x^{7} - 3 x^{6} + 7 x^{5} - 3 x^{4} + x^{3} + 2 x^{2} - 2 x + 1$	$10$	[2,4]	$2^{4}\cdot 5^{2}\cdot 13^{4}\cdot 17^{4}$	$4$	$15.7747653784$	$84.61407732063996$			✓	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$166.869102652$
10.2.1074954240000.1	$x^{10} - x^{8} + 2 x^{6} - 18 x^{4} + 9 x^{2} - 9$	$10$	[2,4]	$2^{18}\cdot 3^{8}\cdot 5^{4}$	$3$	$15.9638999656$	$68.5334019271597$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$272.465609811$
10.2.1169858560000.1	$x^{10} + x^{8} + 5 x^{6} - 9 x^{4} + 11 x^{2} - 1$	$10$	[2,4]	$2^{16}\cdot 5^{4}\cdot 13^{4}$	$3$	$16.099535117$	$76.90000971595957$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$380.3005120238278$
10.2.1262476960000.1	$x^{10} + 7 x^{8} + 17 x^{6} + 16 x^{4} + 3 x^{2} - 4$	$10$	[2,4]	$2^{8}\cdot 5^{4}\cdot 53^{4}$	$3$	$16.222670456$	$106.12183256271433$				$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$741.5402934133498$
10.2.1262476960000.2	$x^{10} - x^{8} + 9 x^{6} - 4 x^{4} + 19 x^{2} - 4$	$10$	[2,4]	$2^{8}\cdot 5^{4}\cdot 53^{4}$	$3$	$16.222670456$	$106.12183256271433$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$323.29376973408586$
10.2.1401249857536.1	$x^{10} - 6 x^{8} + 18 x^{6} - 32 x^{4} + 34 x^{2} - 16$	$10$	[2,4]	$2^{24}\cdot 17^{4}$	$2$	$16.3927402799$	$73.19763989711444$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$366.620443052$
10.2.1401249857536.2	$x^{10} - 6 x^{6} - 12 x^{4} - 10 x^{2} - 4$	$10$	[2,4]	$2^{24}\cdot 17^{4}$	$2$	$16.3927402799$	$73.19763989711444$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$288.541319467$
10.2.1401249857536.3	$x^{10} + 4 x^{8} + 2 x^{6} - 8 x^{4} + 6 x^{2} - 4$	$10$	[2,4]	$2^{24}\cdot 17^{4}$	$2$	$16.3927402799$	$73.19763989711444$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$340.32353523$
10.2.1401249857536.4	$x^{10} - 4 x^{8} + 10 x^{6} - 12 x^{4} + 10 x^{2} - 4$	$10$	[2,4]	$2^{24}\cdot 17^{4}$	$2$	$16.3927402799$	$73.19763989711444$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$342.037808354$
10.2.1581879721984.1	$x^{10} - x^{9} - 9 x^{8} + 2 x^{7} + 36 x^{6} + 10 x^{5} - 62 x^{4} - 48 x^{3} + 6 x^{2} + 6 x - 2$	$10$	[2,4]	$2^{16}\cdot 17^{6}$	$2$	$16.5927108803$	$48.29222514032001$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$273.831716045$
10.2.1679616000000.1	$x^{10} - 4 x^{9} + 6 x^{8} - 6 x^{7} - 4 x^{6} + 30 x^{5} - 38 x^{4} + 14 x^{3} + 33 x^{2} - 66 x + 32$	$10$	[2,4]	$2^{14}\cdot 3^{8}\cdot 5^{6}$	$3$	$16.6924852176$	$55.64666852960506$				$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$654.311079409$
10.2.1861107122176.1	$x^{10} - x^{9} + x^{8} - 2 x^{6} + 10 x^{5} - 2 x^{4} + x^{2} - x + 1$	$10$	[2,4]	$2^{16}\cdot 73^{4}$	$2$	$16.8646424125$	$38.91925744194484$			?	$C_2^4 : A_5$ (as 10T34)	$[3]$	$2$	$5$	$108.536142564$
10.2.1880101684224.2	$x^{10} - x^{8} + x^{6} + 2 x^{4} + x^{2} - 1$	$10$	[2,4]	$2^{10}\cdot 3^{8}\cdot 23^{4}$	$3$	$16.8817760163$	$106.87872469697149$			✓	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$272.01713538501673$
10.2.1972620250000.1	$x^{10} - 5 x^{9} + 14 x^{8} - 23 x^{7} + 19 x^{6} - 7 x^{5} + x^{4} - 17 x^{3} + x^{2} + 4 x + 2$	$10$	[2,4]	$2^{4}\cdot 5^{6}\cdot 53^{4}$	$3$	$16.9630658775$	$94.35713490093649$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$538.3383461836893$
10.2.2418647040000.1	$x^{10} - 3 x^{9} - x^{8} + 8 x^{7} - 2 x^{6} - 2 x^{5} + 2 x^{4} + 8 x^{3} + x^{2} - 3 x - 1$	$10$	[2,4]	$2^{16}\cdot 3^{10}\cdot 5^{4}$	$3$	$17.3123988709$	$69.20938665765387$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$318.301987213$
10.2.2966551527424.1	$x^{10} - 4 x^{8} + 8 x^{6} - 8 x^{4} + 12 x^{2} - 16$	$10$	[2,4]	$2^{22}\cdot 29^{4}$	$2$	$17.66953781$	$80.58302154490706$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$587.011804786$
10.2.2966551527424.2	$x^{10} - 2 x^{8} + 2 x^{6} - 2 x^{4} - 9 x^{2} - 4$	$10$	[2,4]	$2^{22}\cdot 29^{4}$	$2$	$17.66953781$	$80.58302154490706$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$703.427796517$
10.2.5282495463424.1	$x^{10} - 3 x^{9} - 3 x^{8} + 22 x^{7} - 24 x^{6} - 22 x^{5} + 82 x^{4} - 96 x^{3} + 66 x^{2} - 34 x + 10$	$10$	[2,4]	$2^{18}\cdot 67^{4}$	$2$	$18.719054696$	$44.34023757977414$			?	$C_2^4 : A_5$ (as 10T34)	$[3]$	$2$	$5$	$196.10965753$
10.2.6327518887936.1	$x^{10} - 5 x^{9} + 16 x^{8} - 30 x^{7} + 34 x^{6} - 34 x^{5} + 16 x^{4} - 48 x^{3} - 14 x^{2} - 2 x + 4$	$10$	[2,4]	$2^{18}\cdot 17^{6}$	$2$	$19.0600196931$	$50.43030460911822$				$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$1388.16943549$
10.2.8741371209561.1	$x^{10} - 5 x^{9} + 9 x^{8} - 4 x^{7} - 19 x^{6} + 75 x^{5} - 112 x^{4} + 53 x^{3} - 6 x^{2} + 28 x - 17$	$10$	[2,4]	$3^{10}\cdot 23^{6}$	$2$	$19.6860215565$	$53.848643203896714$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$442.193967349$
10.2.9674588160000.1	$x^{10} - 3 x^{9} + 8 x^{8} - 10 x^{7} + 22 x^{6} + 10 x^{5} - 18 x^{4} + 38 x^{3} - 45 x^{2} + 27 x - 6$	$10$	[2,4]	$2^{18}\cdot 3^{10}\cdot 5^{4}$	$3$	$19.886724104$	$72.27354798446959$				$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$3265.16527528$
10.2.9745585291264.1	$x^{10} - x^{9} + 4 x^{8} + 4 x^{7} + 60 x^{5} + 88 x^{4} - 22 x^{2} + 10 x + 4$	$10$	[2,4]	$2^{14}\cdot 29^{6}$	$2$	$19.9012700395$	$55.65029753799534$				$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$1672.86669171$
10.2.11866206109696.2	$x^{10} + 2 x^{8} + 2 x^{6} - 8 x^{4} - 18 x^{2} - 16$	$10$	[2,4]	$2^{24}\cdot 29^{4}$	$2$	$20.2969690159$	$104.50324977272997$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$1106.26148747$
10.2.11866206109696.3	$x^{10} - 4 x^{8} + 14 x^{6} - 16 x^{4} + 10 x^{2} - 4$	$10$	[2,4]	$2^{24}\cdot 29^{4}$	$2$	$20.2969690159$	$104.50324977272997$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$871.796189414$
10.2.11866206109696.4	$x^{10} + 6 x^{6} - 24 x^{4} + 14 x^{2} - 4$	$10$	[2,4]	$2^{24}\cdot 29^{4}$	$2$	$20.2969690159$	$104.50324977272997$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$1022.85726733$
10.2.11866206109696.5	$x^{10} + 4 x^{8} + 2 x^{6} - 8 x^{4} + 18 x^{2} - 4$	$10$	[2,4]	$2^{24}\cdot 29^{4}$	$2$	$20.2969690159$	$104.50324977272997$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$1214.45587358$
10.2.17199267840000.1	$x^{10} - 5 x^{8} + 8 x^{6} - 8 x^{4} + x^{2} - 1$	$10$	[2,4]	$2^{22}\cdot 3^{8}\cdot 5^{4}$	$3$	$21.0644922914$	$108.00732868728359$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$1081.15456097$
10.2.17199267840000.2	$x^{10} + 2 x^{8} + 10 x^{6} + 2 x^{4} + 7 x^{2} - 4$	$10$	[2,4]	$2^{22}\cdot 3^{8}\cdot 5^{4}$	$3$	$21.0644922914$	$108.00732868728359$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$2517.45566513$
10.2.25347992633041.2	$x^{10} - 3 x^{9} - x^{8} - 7 x^{7} + 32 x^{6} - 31 x^{5} + 63 x^{4} - 30 x^{3} + 91 x^{2} - 43 x + 41$	$10$	[2,4]	$13^{4}\cdot 31^{6}$	$2$	$21.8974910356$	$63.06277648896571$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$444.982013825$
10.2.26873856000000.5	$x^{10} - 3 x^{9} - 3 x^{8} + 26 x^{7} - 20 x^{6} - 54 x^{5} + 100 x^{4} - 34 x^{3} - 87 x^{2} + 147 x - 71$	$10$	[2,4]	$2^{18}\cdot 3^{8}\cdot 5^{6}$	$3$	$22.0258662951$	$89.61842167211377$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$2163.79201504$
10.2.37949591784976.1	$x^{10} - 5 x^{9} + 4 x^{8} + 8 x^{7} + 4 x^{6} - 24 x^{5} - 18 x^{4} - 51 x^{3} + 45 x^{2} + 30 x - 37$	$10$	[2,4]	$2^{4}\cdot 17^{4}\cdot 73^{4}$	$3$	$22.79925788$	$183.31634296174195$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$777.225879058$
10.2.38194822598416.1	$x^{10} - 5 x^{9} + 16 x^{8} - 34 x^{7} + 38 x^{6} - 16 x^{5} - 72 x^{4} + 141 x^{3} - 175 x^{2} + 106 x - 25$	$10$	[2,4]	$2^{4}\cdot 11^{4}\cdot 113^{4}$	$3$	$22.8139481261$	$183.5132456094119$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$1001.32800374$
10.2.38555257466944.1	$x^{10} + 10 x^{8} + 29 x^{6} + 19 x^{4} - 14 x^{2} - 9$	$10$	[2,4]	$2^{6}\cdot 881^{4}$	$2$	$22.8353861905$	$206.30936097863784$				$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$3804.861420439916$
10.6.49241109874401.1	$x^{10} - 8 x^{8} + 12 x^{6} + 23 x^{4} - 30 x^{2} - 1$	$10$	[6,2]	$3^{4}\cdot 883^{4}$	$2$	$23.400911994$	$159.41692573242202$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$7$	$2632.90904068$
10.2.49241109874401.1	$x^{10} - 3 x^{9} - 3 x^{7} + 5 x^{6} + 9 x^{5} + 10 x^{4} - 12 x^{3} - 48 x + 32$	$10$	[2,4]	$3^{4}\cdot 883^{4}$	$2$	$23.400911994$	$159.41692573242202$			?	$C_2^4 : A_5$ (as 10T34)	$[2]$	$2$	$5$	$1118.3280405309174$
10.6.49241109874401.2	$x^{10} - 2 x^{9} - 7 x^{8} + 9 x^{7} + 4 x^{6} - 9 x^{5} + 4 x^{4} + 9 x^{3} - 7 x^{2} - 2 x + 1$	$10$	[6,2]	$3^{4}\cdot 883^{4}$	$2$	$23.400911994$	$159.41692573242202$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$7$	$3075.33877535$
10.2.60466176000000.4	$x^{10} - 3 x^{9} + 11 x^{8} - 4 x^{7} + 4 x^{6} + 52 x^{5} + 32 x^{3} + 108 x^{2} + 36 x - 12$	$10$	[2,4]	$2^{16}\cdot 3^{10}\cdot 5^{6}$	$3$	$23.8864302332$	$90.50238019332835$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$4292.82781333$
10.2.64000000000000.2	$x^{10} + 20 x^{2} - 16$	$10$	[2,4]	$2^{18}\cdot 5^{12}$	$2$	$24.0224886796$	$43.8956637150208$			?	$C_2^4 : A_5$ (as 10T34)	$[3]$	$2$	$5$	$1065.35764145$
10.2.68797071360000.2	$x^{10} + 6 x^{8} + 10 x^{6} - 4 x^{4} + 6 x^{2} - 16$	$10$	[2,4]	$2^{24}\cdot 3^{8}\cdot 5^{4}$	$3$	$24.1967476439$	$140.06817603386207$			?	$C_2^4 : A_5$ (as 10T34)	trivial	$2$	$5$	$5353.61452306$

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