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Label Polynomial Discriminant Galois group Class group Regulator
10.2.21894529024.1 $x^{10} + 2 x^{6} - 4 x^{4} - 3 x^{2} - 4$ $2^{18}\cdot 17^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $23.3313477912$
10.2.185409470464.1 $x^{10} - x^{8} + 4 x^{6} + 4 x^{2} - 4$ $2^{18}\cdot 29^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $85.2139709132$
10.2.350312464384.1 $x^{10} + 3 x^{8} + 4 x^{6} - 8 x^{4} - 3 x^{2} - 1$ $2^{22}\cdot 17^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $150.168513196$
10.2.350312464384.2 $x^{10} - x^{8} + 4 x^{6} - 4 x^{4} + 5 x^{2} - 1$ $2^{22}\cdot 17^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $158.232666789$
10.2.468337659904.1 $x^{10} - 3 x^{9} + 4 x^{8} + 2 x^{7} + x^{6} - 21 x^{5} + 40 x^{4} - 20 x^{3} - 13 x^{2} + 9 x - 2$ $2^{12}\cdot 17^{4}\cdot 37^{2}$ $C_2^4 : A_5$ (as 10T34) trivial $233.974111537$
10.2.540335255625.1 $x^{10} - 5 x^{9} + 12 x^{8} - 18 x^{7} + 24 x^{6} - 30 x^{5} + 9 x^{4} + 21 x^{3} - 6 x^{2} - 8 x + 1$ $3^{10}\cdot 5^{4}\cdot 11^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $159.730333551$
10.2.575073488896.1 $x^{10} - 3 x^{9} + 4 x^{8} + 2 x^{7} - 19 x^{6} + 35 x^{5} - 40 x^{4} + 40 x^{3} - 45 x^{2} + 49 x - 22$ $2^{12}\cdot 17^{4}\cdot 41^{2}$ $C_2^4 : A_5$ (as 10T34) trivial $254.537119467$
10.2.662309502976.1 $x^{10} - 3 x^{9} + 7 x^{8} - 10 x^{7} - 4 x^{6} + 6 x^{5} + 28 x^{4} - 18 x^{3} - 15 x^{2} + 7 x - 1$ $2^{16}\cdot 11^{2}\cdot 17^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $158.019253961$
10.2.755703353344.2 $x^{10} + 3 x^{8} - 6 x^{7} - 11 x^{6} - 28 x^{5} - 11 x^{4} - 2 x^{3} - 4 x^{2} - 4 x - 2$ $2^{12}\cdot 17^{4}\cdot 47^{2}$ $C_2^4 : A_5$ (as 10T34) trivial $706.346873654$
10.2.833432055625.1 $x^{10} - x^{9} + 2 x^{8} + 2 x^{7} - 3 x^{6} + 11 x^{5} - 3 x^{4} + 2 x^{3} + 2 x^{2} - x + 1$ $5^{4}\cdot 13^{2}\cdot 53^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $180.609745055$
10.2.896218169344.1 $x^{10} + 3 x^{8} + 4 x^{6} + 4 x^{2} - 4$ $2^{18}\cdot 43^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $581.125042271$
10.2.954177312400.1 $x^{10} - 2 x^{9} + 2 x^{8} + x^{7} - 3 x^{6} + 7 x^{5} - 3 x^{4} + x^{3} + 2 x^{2} - 2 x + 1$ $2^{4}\cdot 5^{2}\cdot 13^{4}\cdot 17^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $166.869102652$
10.2.1074954240000.1 $x^{10} - x^{8} + 2 x^{6} - 18 x^{4} + 9 x^{2} - 9$ $2^{18}\cdot 3^{8}\cdot 5^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $272.465609811$
10.2.1169858560000.1 $x^{10} + x^{8} + 5 x^{6} - 9 x^{4} + 11 x^{2} - 1$ $2^{16}\cdot 5^{4}\cdot 13^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $380.3005120238278$
10.2.1262476960000.1 $x^{10} + 7 x^{8} + 17 x^{6} + 16 x^{4} + 3 x^{2} - 4$ $2^{8}\cdot 5^{4}\cdot 53^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $741.5402934133498$
10.2.1262476960000.2 $x^{10} - x^{8} + 9 x^{6} - 4 x^{4} + 19 x^{2} - 4$ $2^{8}\cdot 5^{4}\cdot 53^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $323.29376973408586$
10.2.1401249857536.1 $x^{10} - 6 x^{8} + 18 x^{6} - 32 x^{4} + 34 x^{2} - 16$ $2^{24}\cdot 17^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $366.620443052$
10.2.1401249857536.2 $x^{10} - 6 x^{6} - 12 x^{4} - 10 x^{2} - 4$ $2^{24}\cdot 17^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $288.541319467$
10.2.1401249857536.3 $x^{10} + 4 x^{8} + 2 x^{6} - 8 x^{4} + 6 x^{2} - 4$ $2^{24}\cdot 17^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $340.32353523$
10.2.1401249857536.4 $x^{10} - 4 x^{8} + 10 x^{6} - 12 x^{4} + 10 x^{2} - 4$ $2^{24}\cdot 17^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $342.037808354$
10.2.1581879721984.1 $x^{10} - x^{9} - 9 x^{8} + 2 x^{7} + 36 x^{6} + 10 x^{5} - 62 x^{4} - 48 x^{3} + 6 x^{2} + 6 x - 2$ $2^{16}\cdot 17^{6}$ $C_2^4 : A_5$ (as 10T34) trivial $273.831716045$
10.2.1679616000000.1 $x^{10} - 4 x^{9} + 6 x^{8} - 6 x^{7} - 4 x^{6} + 30 x^{5} - 38 x^{4} + 14 x^{3} + 33 x^{2} - 66 x + 32$ $2^{14}\cdot 3^{8}\cdot 5^{6}$ $C_2^4 : A_5$ (as 10T34) trivial $654.311079409$
10.2.1861107122176.1 $x^{10} - x^{9} + x^{8} - 2 x^{6} + 10 x^{5} - 2 x^{4} + x^{2} - x + 1$ $2^{16}\cdot 73^{4}$ $C_2^4 : A_5$ (as 10T34) $[3]$ $108.536142564$
10.2.1880101684224.2 $x^{10} - x^{8} + x^{6} + 2 x^{4} + x^{2} - 1$ $2^{10}\cdot 3^{8}\cdot 23^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $272.01713538501673$
10.2.1972620250000.1 $x^{10} - 5 x^{9} + 14 x^{8} - 23 x^{7} + 19 x^{6} - 7 x^{5} + x^{4} - 17 x^{3} + x^{2} + 4 x + 2$ $2^{4}\cdot 5^{6}\cdot 53^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $538.3383461836893$
10.2.2418647040000.1 $x^{10} - 3 x^{9} - x^{8} + 8 x^{7} - 2 x^{6} - 2 x^{5} + 2 x^{4} + 8 x^{3} + x^{2} - 3 x - 1$ $2^{16}\cdot 3^{10}\cdot 5^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $318.301987213$
10.2.2966551527424.1 $x^{10} - 4 x^{8} + 8 x^{6} - 8 x^{4} + 12 x^{2} - 16$ $2^{22}\cdot 29^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $587.011804786$
10.2.2966551527424.2 $x^{10} - 2 x^{8} + 2 x^{6} - 2 x^{4} - 9 x^{2} - 4$ $2^{22}\cdot 29^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $703.427796517$
10.2.5282495463424.1 $x^{10} - 3 x^{9} - 3 x^{8} + 22 x^{7} - 24 x^{6} - 22 x^{5} + 82 x^{4} - 96 x^{3} + 66 x^{2} - 34 x + 10$ $2^{18}\cdot 67^{4}$ $C_2^4 : A_5$ (as 10T34) $[3]$ $196.10965753$
10.2.6327518887936.1 $x^{10} - 5 x^{9} + 16 x^{8} - 30 x^{7} + 34 x^{6} - 34 x^{5} + 16 x^{4} - 48 x^{3} - 14 x^{2} - 2 x + 4$ $2^{18}\cdot 17^{6}$ $C_2^4 : A_5$ (as 10T34) trivial $1388.16943549$
10.2.8741371209561.1 $x^{10} - 5 x^{9} + 9 x^{8} - 4 x^{7} - 19 x^{6} + 75 x^{5} - 112 x^{4} + 53 x^{3} - 6 x^{2} + 28 x - 17$ $3^{10}\cdot 23^{6}$ $C_2^4 : A_5$ (as 10T34) trivial $442.193967349$
10.2.9674588160000.1 $x^{10} - 3 x^{9} + 8 x^{8} - 10 x^{7} + 22 x^{6} + 10 x^{5} - 18 x^{4} + 38 x^{3} - 45 x^{2} + 27 x - 6$ $2^{18}\cdot 3^{10}\cdot 5^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $3265.16527528$
10.2.9745585291264.1 $x^{10} - x^{9} + 4 x^{8} + 4 x^{7} + 60 x^{5} + 88 x^{4} - 22 x^{2} + 10 x + 4$ $2^{14}\cdot 29^{6}$ $C_2^4 : A_5$ (as 10T34) trivial $1672.86669171$
10.2.11866206109696.2 $x^{10} + 2 x^{8} + 2 x^{6} - 8 x^{4} - 18 x^{2} - 16$ $2^{24}\cdot 29^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $1106.26148747$
10.2.11866206109696.3 $x^{10} - 4 x^{8} + 14 x^{6} - 16 x^{4} + 10 x^{2} - 4$ $2^{24}\cdot 29^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $871.796189414$
10.2.11866206109696.4 $x^{10} + 6 x^{6} - 24 x^{4} + 14 x^{2} - 4$ $2^{24}\cdot 29^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $1022.85726733$
10.2.11866206109696.5 $x^{10} + 4 x^{8} + 2 x^{6} - 8 x^{4} + 18 x^{2} - 4$ $2^{24}\cdot 29^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $1214.45587358$
10.2.17199267840000.1 $x^{10} - 5 x^{8} + 8 x^{6} - 8 x^{4} + x^{2} - 1$ $2^{22}\cdot 3^{8}\cdot 5^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $1081.15456097$
10.2.17199267840000.2 $x^{10} + 2 x^{8} + 10 x^{6} + 2 x^{4} + 7 x^{2} - 4$ $2^{22}\cdot 3^{8}\cdot 5^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $2517.45566513$
10.2.25347992633041.2 $x^{10} - 3 x^{9} - x^{8} - 7 x^{7} + 32 x^{6} - 31 x^{5} + 63 x^{4} - 30 x^{3} + 91 x^{2} - 43 x + 41$ $13^{4}\cdot 31^{6}$ $C_2^4 : A_5$ (as 10T34) trivial $444.982013825$
10.2.26873856000000.5 $x^{10} - 3 x^{9} - 3 x^{8} + 26 x^{7} - 20 x^{6} - 54 x^{5} + 100 x^{4} - 34 x^{3} - 87 x^{2} + 147 x - 71$ $2^{18}\cdot 3^{8}\cdot 5^{6}$ $C_2^4 : A_5$ (as 10T34) trivial $2163.79201504$
10.2.37949591784976.1 $x^{10} - 5 x^{9} + 4 x^{8} + 8 x^{7} + 4 x^{6} - 24 x^{5} - 18 x^{4} - 51 x^{3} + 45 x^{2} + 30 x - 37$ $2^{4}\cdot 17^{4}\cdot 73^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $777.225879058$
10.2.38194822598416.1 $x^{10} - 5 x^{9} + 16 x^{8} - 34 x^{7} + 38 x^{6} - 16 x^{5} - 72 x^{4} + 141 x^{3} - 175 x^{2} + 106 x - 25$ $2^{4}\cdot 11^{4}\cdot 113^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $1001.32800374$
10.2.38555257466944.1 $x^{10} + 10 x^{8} + 29 x^{6} + 19 x^{4} - 14 x^{2} - 9$ $2^{6}\cdot 881^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $3804.861420439916$
10.6.49241109874401.1 $x^{10} - 8 x^{8} + 12 x^{6} + 23 x^{4} - 30 x^{2} - 1$ $3^{4}\cdot 883^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $2632.90904068$
10.2.49241109874401.1 $x^{10} - 3 x^{9} - 3 x^{7} + 5 x^{6} + 9 x^{5} + 10 x^{4} - 12 x^{3} - 48 x + 32$ $3^{4}\cdot 883^{4}$ $C_2^4 : A_5$ (as 10T34) $[2]$ $1118.3280405309174$
10.6.49241109874401.2 $x^{10} - 2 x^{9} - 7 x^{8} + 9 x^{7} + 4 x^{6} - 9 x^{5} + 4 x^{4} + 9 x^{3} - 7 x^{2} - 2 x + 1$ $3^{4}\cdot 883^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $3075.33877535$
10.2.60466176000000.4 $x^{10} - 3 x^{9} + 11 x^{8} - 4 x^{7} + 4 x^{6} + 52 x^{5} + 32 x^{3} + 108 x^{2} + 36 x - 12$ $2^{16}\cdot 3^{10}\cdot 5^{6}$ $C_2^4 : A_5$ (as 10T34) trivial $4292.82781333$
10.2.64000000000000.2 $x^{10} + 20 x^{2} - 16$ $2^{18}\cdot 5^{12}$ $C_2^4 : A_5$ (as 10T34) $[3]$ $1065.35764145$
10.2.68797071360000.2 $x^{10} + 6 x^{8} + 10 x^{6} - 4 x^{4} + 6 x^{2} - 16$ $2^{24}\cdot 3^{8}\cdot 5^{4}$ $C_2^4 : A_5$ (as 10T34) trivial $5353.61452306$
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