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Label Polynomial Discriminant Galois group Class group Regulator
10.0.3473709019.1 $x^{10} - x^{9} + 2 x^{8} - 2 x^{7} + 5 x^{6} - 4 x^{5} + 5 x^{4} - 4 x^{3} + 4 x^{2} - 2 x + 1$ $-\,11^{5}\cdot 21569$ $S_5^2 \wr C_2$ (as 10T43) trivial $3.75686794787$
10.0.6868019895.1 $x^{10} - x^{9} + x^{8} + 2 x^{7} - 4 x^{6} + 2 x^{5} + 3 x^{4} - 3 x^{3} + 2 x^{2} - x + 1$ $-\,3\cdot 5\cdot 11^{5}\cdot 2843$ $S_5^2 \wr C_2$ (as 10T43) trivial $7.37925493356$
10.0.8757470227.1 $x^{10} - x^{9} + x^{8} - 2 x^{6} + 2 x^{5} - 3 x^{3} + 2 x + 1$ $-\,11^{5}\cdot 54377$ $S_5^2 \wr C_2$ (as 10T43) trivial $7.96300436766$
10.0.11203995968.1 $x^{10} - 3 x^{9} + x^{8} + 3 x^{7} + 3 x^{6} - 7 x^{5} - 3 x^{4} + 4 x^{3} + 3 x^{2} + 1$ $-\,2^{6}\cdot 11^{5}\cdot 1087$ $S_5^2 \wr C_2$ (as 10T43) trivial $11.3619166223$
10.0.20488264016.1 $x^{10} - x^{8} - x^{7} + 2 x^{6} + 4 x^{5} - 2 x^{4} - 4 x^{3} + 4 x^{2} + x + 1$ $-\,2^{4}\cdot 11^{5}\cdot 7951$ $S_5^2 \wr C_2$ (as 10T43) trivial $14.0405665824$
10.0.31689844219.1 $x^{10} - x^{9} - 2 x^{8} + x^{7} + 6 x^{6} - 5 x^{5} - 4 x^{4} + 6 x^{3} + x^{2} - 5 x + 3$ $-\,11^{5}\cdot 196769$ $S_5^2 \wr C_2$ (as 10T43) trivial $25.7658961842$
10.0.33217251903.1 $x^{10} - x^{9} + 2 x^{8} - x^{7} + x^{6} + 3 x^{4} - x^{3} + 4 x^{2} + 1$ $-\,3^{3}\cdot 11^{5}\cdot 7639$ $S_5^2 \wr C_2$ (as 10T43) trivial $26.5963606652$
10.0.33957442299.1 $x^{10} - x^{9} - x^{7} - x^{6} + 5 x^{5} - 7 x^{4} + 3 x^{3} + 7 x^{2} - 6 x + 3$ $-\,3\cdot 11^{5}\cdot 67\cdot 1049$ $S_5^2 \wr C_2$ (as 10T43) trivial $23.5729870491$
10.0.36409926927.1 $x^{10} - 3 x^{9} + 8 x^{8} - 10 x^{7} + 10 x^{6} - x^{5} - 5 x^{4} + 7 x^{3} - 2 x^{2} - 3 x + 3$ $-\,3\cdot 11^{5}\cdot 179\cdot 421$ $S_5^2 \wr C_2$ (as 10T43) trivial $21.7517591768$
10.0.37265429839.1 $x^{10} + x^{8} - x^{7} + 4 x^{5} - 4 x^{4} + x^{3} - 4 x + 3$ $-\,11^{5}\cdot 71\cdot 3259$ $S_5^2 \wr C_2$ (as 10T43) trivial $12.928303084$
10.0.44204151123.1 $x^{10} - x^{9} + 3 x^{7} - 2 x^{6} + 3 x^{5} + 2 x^{4} - x^{3} + 5 x^{2} - 2 x + 1$ $-\,3^{2}\cdot 11^{5}\cdot 30497$ $S_5^2 \wr C_2$ (as 10T43) trivial $20.9350649826$
10.0.45097017867.1 $x^{10} - 2 x^{9} + 3 x^{8} - 5 x^{7} + 2 x^{6} + x^{5} + x^{4} + 5 x^{3} - 2 x^{2} - 2 x + 1$ $-\,3^{4}\cdot 11^{5}\cdot 3457$ $S_5^2 \wr C_2$ (as 10T43) trivial $19.8090721593$
10.0.50476765471.1 $x^{10} - 4 x^{9} + 5 x^{8} - 2 x^{7} + x^{6} - 5 x^{5} + 6 x^{4} + x^{3} + x^{2} - 2 x + 1$ $-\,11^{5}\cdot 23\cdot 13627$ $S_5^2 \wr C_2$ (as 10T43) trivial $35.2047554751$
10.0.51783211183.1 $x^{10} - 4 x^{9} + 6 x^{8} - 4 x^{7} + 2 x^{6} - 3 x^{4} + 2 x^{3} + 3 x^{2} + x + 1$ $-\,11^{5}\cdot 67\cdot 4799$ $S_5^2 \wr C_2$ (as 10T43) trivial $29.5173131211$
10.0.57983674683.1 $x^{10} + 5 x^{8} + 10 x^{6} - 2 x^{5} + 8 x^{4} - 5 x^{3} + 3 x^{2} - x + 1$ $-\,3\cdot 11^{5}\cdot 120011$ $S_5^2 \wr C_2$ (as 10T43) trivial $30.6451344695$
10.0.60042389616.1 $x^{10} - 2 x^{9} + 6 x^{8} - 7 x^{7} + 14 x^{6} - 6 x^{5} + 12 x^{4} + 2 x^{3} + 3 x^{2} + 3 x + 1$ $-\,2^{4}\cdot 3^{3}\cdot 11^{5}\cdot 863$ $S_5^2 \wr C_2$ (as 10T43) trivial $22.0236371749$
10.0.60184275547.1 $x^{10} - 2 x^{9} + 2 x^{8} - x^{7} - 3 x^{6} + 2 x^{5} + x^{4} - 2 x^{3} + 9 x^{2} - 10 x + 4$ $-\,11^{5}\cdot 47\cdot 7951$ $S_5^2 \wr C_2$ (as 10T43) trivial $25.6882751463$
10.0.62910546875.1 $x^{10} - 4 x^{9} + 9 x^{8} - 9 x^{7} - 2 x^{6} + 12 x^{5} - 8 x^{4} - 12 x^{3} + 27 x^{2} - 14 x + 5$ $-\,5^{8}\cdot 11^{5}$ $D_5\times C_5$ (as 10T6) trivial $29.8937495286$
10.0.65829918352.1 $x^{10} - 2 x^{9} + 3 x^{8} - x^{7} - 4 x^{6} + 14 x^{5} - 10 x^{4} - 4 x^{3} + 14 x^{2} - 7 x + 1$ $-\,2^{4}\cdot 11^{5}\cdot 59\cdot 433$ $S_5^2 \wr C_2$ (as 10T43) trivial $28.7170862544$
10.0.68475181027.1 $x^{10} - x^{9} + 3 x^{8} - 6 x^{7} + 4 x^{6} - 4 x^{5} + 8 x^{4} - 3 x^{3} - 3 x^{2} + x + 1$ $-\,11^{5}\cdot 389\cdot 1093$ $S_5^2 \wr C_2$ (as 10T43) trivial $24.4209744393$
10.0.69045301567.1 $x^{10} - x^{9} + x^{8} + x^{7} - 5 x^{6} + 6 x^{5} - x^{4} - 3 x^{3} + 9 x^{2} - 9 x + 5$ $-\,11^{5}\cdot 53\cdot 8089$ $S_5^2 \wr C_2$ (as 10T43) trivial $30.9686100884$
10.0.71761265631.1 $x^{10} - 3 x^{9} + 6 x^{8} - 13 x^{7} + 27 x^{6} - 38 x^{5} + 38 x^{4} - 32 x^{3} + 25 x^{2} - 14 x + 4$ $-\,3^{4}\cdot 11^{5}\cdot 5501$ $S_5^2 \wr C_2$ (as 10T43) trivial $28.1753605455$
10.0.72645113519.1 $x^{10} - x^{9} + 2 x^{8} - 4 x^{7} + 7 x^{6} - 7 x^{5} + 7 x^{4} + 3 x^{3} + 5 x^{2} - 2 x + 4$ $-\,11^{5}\cdot 451069$ $S_5^2 \wr C_2$ (as 10T43) trivial $30.2670616139$
10.0.72741099915.1 $x^{10} - 5 x^{9} + 15 x^{8} - 29 x^{7} + 40 x^{6} - 41 x^{5} + 32 x^{4} - 21 x^{3} + 12 x^{2} - 4 x + 1$ $-\,3^{2}\cdot 5\cdot 11^{5}\cdot 10037$ $S_5^2 \wr C_2$ (as 10T43) trivial $26.1050698781$
10.0.72968503927.1 $x^{10} - 2 x^{9} + x^{8} - x^{7} + 3 x^{6} + x^{4} - x^{3} + 2 x + 1$ $-\,11^{5}\cdot 23\cdot 19699$ $S_5^2 \wr C_2$ (as 10T43) trivial $24.9683191824$
10.0.75681891175.1 $x^{10} - 3 x^{9} + 4 x^{8} - 2 x^{7} - 3 x^{5} + 4 x^{4} + x^{3} - 2 x^{2} + 1$ $-\,5^{2}\cdot 11^{5}\cdot 18797$ $S_5^2 \wr C_2$ (as 10T43) trivial $36.1826835182$
10.0.75987727024.1 $x^{10} - 2 x^{9} + 6 x^{8} - 11 x^{7} + 21 x^{6} - 30 x^{5} + 33 x^{4} - 24 x^{3} + 14 x^{2} - 5 x + 1$ $-\,2^{4}\cdot 11^{5}\cdot 37\cdot 797$ $S_5^2 \wr C_2$ (as 10T43) trivial $26.225482949$
10.0.76879466411.1 $x^{10} - 2 x^{9} + 6 x^{8} - 6 x^{7} + 10 x^{6} - 4 x^{5} + 10 x^{4} - x^{3} + 9 x^{2} + 4$ $-\,11^{5}\cdot 477361$ $S_5^2 \wr C_2$ (as 10T43) trivial $40.1875152898$
10.0.79246916111.1 $x^{10} - 5 x^{9} + 14 x^{8} - 23 x^{7} + 26 x^{6} - 19 x^{5} + 7 x^{4} + 2 x^{3} - 2 x^{2} - x + 1$ $-\,11^{5}\cdot 492061$ $S_5^2 \wr C_2$ (as 10T43) trivial $28.9609164905$
10.0.80198244368.1 $x^{10} + x^{8} - x^{7} + 3 x^{6} + x^{5} + 3 x^{4} - 2 x^{3} + 2 x^{2} + 4$ $-\,2^{4}\cdot 11^{5}\cdot 31123$ $S_5^2 \wr C_2$ (as 10T43) trivial $37.3061789049$
10.0.84580281027.1 $x^{10} - 3 x^{8} + 2 x^{6} - 2 x^{5} - x^{4} + 3 x^{3} + 5 x^{2} + 3 x + 1$ $-\,3^{3}\cdot 11^{5}\cdot 53\cdot 367$ $S_5^2 \wr C_2$ (as 10T43) trivial $34.6076032387$
10.0.90072120127.1 $x^{10} - 4 x^{9} + 8 x^{8} - 11 x^{7} + 15 x^{6} - 18 x^{5} + 19 x^{4} - 17 x^{3} + 12 x^{2} - 5 x + 1$ $-\,11^{5}\cdot 559277$ $S_5^2 \wr C_2$ (as 10T43) trivial $19.2322757387$
10.0.93296361147.1 $x^{10} - 2 x^{9} + 5 x^{8} - 6 x^{7} + 9 x^{6} - 9 x^{5} + 20 x^{4} - 18 x^{3} + 7 x^{2} - 3 x + 1$ $-\,3\cdot 11^{5}\cdot 31\cdot 6229$ $S_5^2 \wr C_2$ (as 10T43) trivial $49.9767028816$
10.0.93468363615.1 $x^{10} - 3 x^{9} + 3 x^{8} - 8 x^{7} + 23 x^{6} - 32 x^{5} + 37 x^{4} - 34 x^{3} + 22 x^{2} - 11 x + 3$ $-\,3^{4}\cdot 5\cdot 11^{5}\cdot 1433$ $S_5^2 \wr C_2$ (as 10T43) trivial $48.6631355644$
10.0.94571885067.1 $x^{10} - 3 x^{9} + 3 x^{8} + 3 x^{7} - 7 x^{6} - x^{5} + 11 x^{4} - 9 x^{3} + 5 x^{2} - 3 x + 1$ $-\,3\cdot 11^{5}\cdot 195739$ $S_5^2 \wr C_2$ (as 10T43) trivial $33.8331169781$
10.0.98238533184.1 $x^{10} - 2 x^{9} + 6 x^{8} - 4 x^{7} + 6 x^{6} + 3 x^{5} + 5 x^{4} - 2 x^{3} + 14 x^{2} - 4 x + 4$ $-\,2^{6}\cdot 3^{3}\cdot 11^{5}\cdot 353$ $S_5^2 \wr C_2$ (as 10T43) trivial $51.6377572562$
10.0.98464809839.1 $x^{10} - 3 x^{9} + 2 x^{8} - 2 x^{7} + 5 x^{6} + 3 x^{5} - 6 x^{4} - 5 x^{3} + 3 x^{2} + 4 x + 1$ $-\,11^{5}\cdot 611389$ $S_5^2 \wr C_2$ (as 10T43) trivial $27.7849496357$
10.0.100132653995.1 $x^{10} - x^{9} - x^{8} - 5 x^{7} + 3 x^{6} + x^{5} + 11 x^{4} + 5 x^{3} + 11 x^{2} + 2 x + 4$ $-\,5\cdot 11^{5}\cdot 124349$ $S_5^2 \wr C_2$ (as 10T43) trivial $41.6488993368$
10.0.100382444096.1 $x^{10} - x^{9} + 2 x^{7} - x^{5} + 3 x^{4} + 4 x + 4$ $-\,2^{6}\cdot 11^{5}\cdot 9739$ $S_5^2 \wr C_2$ (as 10T43) trivial $36.0205393$
10.0.101674878371.1 $x^{10} - 2 x^{9} + 2 x^{6} - 2 x^{5} + 3 x^{4} - 5 x^{3} + 6 x^{2} - x + 3$ $-\,11^{5}\cdot 313\cdot 2017$ $S_5^2 \wr C_2$ (as 10T43) trivial $29.4085739046$
10.0.103367202279.1 $x^{10} - x^{7} + 8 x^{6} - x^{5} + 3 x^{4} - 4 x^{3} + 11 x^{2} - 4 x + 3$ $-\,3\cdot 11^{5}\cdot 213943$ $S_5^2 \wr C_2$ (as 10T43) trivial $53.4822867028$
10.0.104026222971.1 $x^{10} - 3 x^{9} + 3 x^{8} + 3 x^{6} - 5 x^{5} - x^{4} - x^{3} + 2 x^{2} + 3 x + 1$ $-\,3^{3}\cdot 11^{5}\cdot 47\cdot 509$ $S_5^2 \wr C_2$ (as 10T43) trivial $38.6895039209$
10.0.104877216455.1 $x^{10} - 3 x^{9} + 7 x^{8} - 9 x^{7} + 12 x^{6} - 11 x^{5} + 14 x^{4} - 8 x^{3} + 7 x^{2} - 2 x + 1$ $-\,5\cdot 11^{5}\cdot 130241$ $S_5^2 \wr C_2$ (as 10T43) trivial $43.0229918926$
10.0.105596148119.1 $x^{10} - 2 x^{9} + 3 x^{8} - x^{7} - 4 x^{6} + 3 x^{5} + x^{4} - 4 x^{3} + 3 x^{2} + 4 x + 1$ $-\,7^{2}\cdot 11^{5}\cdot 13381$ $S_5^2 \wr C_2$ (as 10T43) trivial $37.8196739724$
10.0.109135404895.1 $x^{10} - x^{9} + 4 x^{8} - 5 x^{7} + 9 x^{6} - 12 x^{5} + 15 x^{4} - 11 x^{3} + 8 x^{2} + 5 x + 3$ $-\,5\cdot 11^{5}\cdot 313\cdot 433$ $S_5^2 \wr C_2$ (as 10T43) trivial $50.4422811909$
10.0.109378108752.1 $x^{10} - x^{9} + 4 x^{8} + x^{7} + 4 x^{6} + 6 x^{5} + 8 x^{4} + 3 x^{3} - x^{2} - x + 1$ $-\,2^{4}\cdot 3\cdot 11^{5}\cdot 14149$ $S_5^2 \wr C_2$ (as 10T43) trivial $51.1737812349$
10.0.110345864211.1 $x^{10} - x^{9} - 5 x^{8} + 6 x^{7} + 12 x^{6} - 17 x^{5} - 12 x^{4} + 28 x^{3} - 20 x + 9$ $-\,3^{2}\cdot 11^{5}\cdot 76129$ $S_5^2 \wr C_2$ (as 10T43) trivial $61.1261929269$
10.0.111924164011.1 $x^{10} - x^{9} + 3 x^{8} - 5 x^{7} + 6 x^{6} - 8 x^{5} + 8 x^{4} - 6 x^{3} + 7 x^{2} - 2 x + 1$ $-\,11^{5}\cdot 59\cdot 11779$ $S_5^2 \wr C_2$ (as 10T43) trivial $35.101707008$
10.0.114379708608.1 $x^{10} - 2 x^{9} + 6 x^{8} - 9 x^{7} + 11 x^{6} - 17 x^{5} + 19 x^{4} - 13 x^{3} + 8 x^{2} - 2 x + 1$ $-\,2^{6}\cdot 3^{4}\cdot 11^{5}\cdot 137$ $S_5^2 \wr C_2$ (as 10T43) trivial $39.7737414989$
10.0.115175944752.1 $x^{10} - 3 x^{9} + 8 x^{8} - 16 x^{7} + 30 x^{6} - 40 x^{5} + 49 x^{4} - 42 x^{3} + 30 x^{2} - 12 x + 4$ $-\,2^{4}\cdot 3\cdot 11^{5}\cdot 47\cdot 317$ $S_5^2 \wr C_2$ (as 10T43) trivial $36.5442899769$
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