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Label Polynomial Discriminant Galois group Class group Regulator
10.0.5841576387.1 $x^{10} - x^{9} + 5 x^{8} - 3 x^{7} + 8 x^{6} - 4 x^{5} + 4 x^{4} - 3 x^{3} - x + 1$ $-\,3^{5}\cdot 4903^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $17.459529294$
10.2.6381378125.1 $x^{10} - 4 x^{9} + 8 x^{8} - 12 x^{7} + 18 x^{6} - 21 x^{5} + 18 x^{4} - 9 x^{3} + x^{2} + 2 x - 1$ $5^{5}\cdot 1429^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $5.7939417942$
10.2.6652128125.1 $x^{10} - x^{9} - x^{8} + x^{7} - 2 x^{6} - 2 x^{3} + 3 x^{2} - x + 1$ $5^{5}\cdot 1459^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $7.21599783984$
10.2.8160800000.1 $x^{10} - 3 x^{9} + 5 x^{8} - 10 x^{7} + 13 x^{6} - 11 x^{5} + 9 x^{4} - 8 x^{3} + 3 x^{2} + x - 1$ $2^{8}\cdot 5^{5}\cdot 101^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $8.83945214246$
10.0.8171701443.1 $x^{10} - x^{9} - 4 x^{8} - 4 x^{7} + 7 x^{6} + 12 x^{5} + 13 x^{4} + 5 x^{3} + 2 x^{2} - x + 1$ $-\,3^{7}\cdot 1933^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $21.9800414024$
10.2.8394753125.1 $x^{10} - 2 x^{9} + 2 x^{8} - 5 x^{7} + 6 x^{6} - 7 x^{5} + 10 x^{4} - 7 x^{3} + 5 x^{2} - 3 x + 1$ $5^{5}\cdot 11^{2}\cdot 149^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $6.60446640562$
10.0.12759961600.1 $x^{10} - 2 x^{7} + 3 x^{6} - 2 x^{5} + 3 x^{4} - 2 x^{3} + 4 x^{2} - 2 x + 1$ $-\,2^{12}\cdot 5^{2}\cdot 353^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $27.7323769466$
10.2.14512578125.1 $x^{10} - x^{9} + 4 x^{8} - 6 x^{7} + 7 x^{6} - 10 x^{5} + 8 x^{4} - 7 x^{3} + 3 x^{2} - x + 1$ $5^{7}\cdot 431^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $10.1840820121$
10.0.14753809152.1 $x^{10} - x^{9} + 3 x^{8} + 4 x^{6} + 8 x^{5} + 8 x^{4} + 12 x^{3} + 11 x^{2} + 5 x + 1$ $-\,2^{8}\cdot 3^{5}\cdot 487^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $28.3168556626$
10.2.14974128125.1 $x^{10} - 3 x^{9} + 7 x^{8} - 9 x^{7} + 9 x^{6} - 7 x^{5} + 3 x^{4} + 4 x^{3} - 5 x^{2} + 1$ $5^{5}\cdot 11^{2}\cdot 199^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $13.1331358873$
10.0.15462704547.1 $x^{10} - 2 x^{9} + 8 x^{8} - 11 x^{7} + 22 x^{6} - 18 x^{5} + 22 x^{4} - 8 x^{3} + 8 x^{2} - 2 x + 1$ $-\,3^{7}\cdot 2659^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $33.5800056814$
10.0.16139161600.1 $x^{10} - 4 x^{9} + 7 x^{8} - 6 x^{7} + x^{6} + 6 x^{5} - 10 x^{4} + 6 x^{3} + 2 x^{2} - 4 x + 2$ $-\,2^{12}\cdot 5^{2}\cdot 397^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $32.4385247176$
10.0.16687871667.1 $x^{10} - 2 x^{9} - 2 x^{8} + 4 x^{7} + 6 x^{6} - 5 x^{5} - 4 x^{4} + 2 x^{3} + 2 x^{2} - 2 x + 1$ $-\,3^{5}\cdot 8287^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $29.333344894$
10.2.17243128125.1 $x^{10} - 3 x^{9} + 5 x^{8} - 4 x^{7} - x^{6} + 3 x^{5} - 2 x^{4} + 2 x^{2} - x - 1$ $3^{8}\cdot 5^{5}\cdot 29^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $11.4692732069$
10.2.17760800000.1 $x^{10} - x^{9} + 3 x^{8} - 2 x^{7} + 2 x^{6} + 2 x^{5} - 2 x^{4} + 2 x^{3} + x^{2} - x - 1$ $2^{8}\cdot 5^{5}\cdot 149^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $13.8778531918$
10.2.18620253125.1 $x^{10} - 2 x^{9} + 3 x^{8} + x^{7} - 5 x^{6} + 3 x^{5} + x^{4} - 5 x^{3} - x^{2} + 2 x + 1$ $5^{5}\cdot 2441^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $14.9224190877$
10.0.18801894400.1 $x^{10} - 2 x^{9} + x^{8} + x^{6} - 2 x^{4} - 2 x^{3} + x^{2} + 2 x + 1$ $-\,2^{10}\cdot 5^{2}\cdot 857^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $18.8824025796$
10.2.19546878125.1 $x^{10} - 2 x^{9} + 4 x^{8} - 4 x^{7} + x^{6} - 3 x^{4} + x + 1$ $5^{5}\cdot 41^{2}\cdot 61^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $11.7135685246$
10.2.20817378125.1 $x^{10} - x^{9} + 2 x^{8} - 3 x^{7} + 5 x^{6} - x^{5} - x^{4} - 6 x^{2} + 6 x - 1$ $5^{5}\cdot 29^{2}\cdot 89^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $15.4232913578$
10.2.22194716672.1 $x^{10} - 4 x^{9} + 8 x^{8} - 14 x^{7} + 19 x^{6} - 20 x^{5} + 17 x^{4} - 8 x^{3} + 3 x^{2} - 2 x + 1$ $2^{15}\cdot 823^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $11.655791259$
10.2.23103003125.1 $x^{10} - x^{9} - 2 x^{8} + x^{6} + 4 x^{5} + x^{3} - 5 x^{2} + x - 1$ $5^{5}\cdot 2719^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $13.6997389122$
10.0.29237507523.1 $x^{10} + 2 x^{8} - 3 x^{7} - 3 x^{6} - 5 x^{5} - 4 x^{4} + 4 x^{3} + 7 x^{2} + 7 x + 7$ $-\,3^{5}\cdot 7^{2}\cdot 1567^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $40.7434288504$
10.0.29703138048.1 $x^{10} - 4 x^{9} + 8 x^{8} - 10 x^{7} + 8 x^{6} - 2 x^{5} - 8 x^{3} + 16 x^{2} - 12 x + 4$ $-\,2^{8}\cdot 3^{5}\cdot 691^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $37.5575720562$
10.0.32338268928.1 $x^{10} - 4 x^{9} + 13 x^{8} - 30 x^{7} + 59 x^{6} - 84 x^{5} + 91 x^{4} - 66 x^{3} + 31 x^{2} - 8 x + 1$ $-\,2^{8}\cdot 3^{5}\cdot 7^{2}\cdot 103^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $47.2292794454$
10.2.33028128125.1 $x^{10} - 3 x^{9} + 2 x^{8} + 4 x^{6} - 4 x^{5} - 5 x^{4} + 6 x^{3} - x + 1$ $5^{5}\cdot 3251^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $17.772344718$
10.0.35163750400.1 $x^{10} - 4 x^{9} + 10 x^{8} - 16 x^{7} + 19 x^{6} - 22 x^{5} + 26 x^{4} - 26 x^{3} + 21 x^{2} - 10 x + 2$ $-\,2^{14}\cdot 5^{2}\cdot 293^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $52.956194432$
10.0.42179301376.1 $x^{10} - 4 x^{9} + 7 x^{8} - 6 x^{7} + 3 x^{6} - 4 x^{5} + 4 x^{4} + 2 x^{3} - 4 x^{2} + 2$ $-\,2^{12}\cdot 3209^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $61.8849814994$
10.0.42436001792.1 $x^{10} - x^{6} + 8 x^{4} - 12 x^{3} + 12 x^{2} - 8 x + 4$ $-\,2^{17}\cdot 569^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $26.8856580406$
10.0.42926115483.1 $x^{10} - 3 x^{9} + 2 x^{8} + 5 x^{7} - 17 x^{6} + 20 x^{5} + x^{4} - 30 x^{3} + 42 x^{2} - 27 x + 9$ $-\,3^{5}\cdot 13291^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $59.2168579652$
10.2.46091337728.1 $x^{10} - 7 x^{6} - 8 x^{5} - 10 x^{4} - 8 x^{3} - 2 x^{2} - 4 x + 2$ $2^{17}\cdot 593^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $35.6936443046$
10.0.46323879507.1 $x^{10} - 2 x^{9} - 2 x^{8} + 4 x^{7} + 6 x^{6} - 9 x^{5} - 9 x^{4} + 8 x^{3} + 9 x^{2} + 2 x + 1$ $-\,3^{5}\cdot 13807^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $68.5559066612$
10.0.47010848283.1 $x^{10} - x^{9} - 4 x^{8} + 6 x^{7} + 9 x^{6} - 9 x^{5} - 15 x^{4} + 7 x^{3} + 23 x^{2} + 9 x + 1$ $-\,3^{5}\cdot 7^{2}\cdot 1987^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $71.9608486556$
10.0.48194406027.1 $x^{10} - 5 x^{8} - 5 x^{7} + 15 x^{6} + 15 x^{5} - 19 x^{4} - 18 x^{3} + 9 x^{2} + 7 x + 1$ $-\,3^{5}\cdot 14083^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $62.8624099912$
10.2.51536628125.1 $x^{10} - x^{9} - x^{8} + 4 x^{7} - 2 x^{6} + 2 x^{5} - 2 x^{4} - 5 x^{3} + 9 x^{2} - 5 x + 1$ $5^{5}\cdot 31^{2}\cdot 131^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $17.1693126237$
10.0.55243801600.1 $x^{10} - 2 x^{9} + 5 x^{8} - 8 x^{7} + 11 x^{6} - 10 x^{5} + 4 x^{4} - 2 x^{3} + 5 x^{2} - 4 x + 1$ $-\,2^{10}\cdot 5^{2}\cdot 13^{2}\cdot 113^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $35.4278258798$
10.0.66261038067.1 $x^{10} - x^{9} + 6 x^{8} - 6 x^{7} + 19 x^{6} - 23 x^{5} + 31 x^{4} - 25 x^{3} + 15 x^{2} - 5 x + 1$ $-\,3^{5}\cdot 7^{4}\cdot 337^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $62.855191879$
10.2.66632941568.1 $x^{10} - 2 x^{9} - x^{8} + 2 x^{7} + x^{6} - 4 x^{5} + 4 x^{4} + 4 x^{3} - 2 x^{2} - 4 x + 2$ $2^{17}\cdot 23^{2}\cdot 31^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $46.5552958204$
10.2.69620000000.1 $x^{10} - 3 x^{9} + x^{8} + 8 x^{7} - 13 x^{6} - 5 x^{5} + 37 x^{4} - 44 x^{3} + 23 x^{2} - 3 x - 1$ $2^{8}\cdot 5^{7}\cdot 59^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $35.0407886983$
10.2.71073003125.1 $x^{10} + x^{8} - 2 x^{7} + 6 x^{6} - 10 x^{5} + 12 x^{4} - 9 x^{3} + 5 x^{2} + x - 1$ $5^{5}\cdot 19^{2}\cdot 251^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $31.9235021488$
10.0.71252957167.1 $x^{10} - 3 x^{9} + 6 x^{8} - 10 x^{7} + 14 x^{6} - 14 x^{5} + 10 x^{4} - 5 x^{3} + 2 x^{2} - x + 1$ $-\,7^{5}\cdot 29^{2}\cdot 71^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $16.5660087434$
10.0.72719062443.1 $x^{10} - 3 x^{9} - x^{8} + 13 x^{7} - 4 x^{6} - 24 x^{5} + 14 x^{4} + 13 x^{3} - 7 x^{2} - 2 x + 1$ $-\,3^{5}\cdot 17299^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $53.6950848242$
10.0.73833061923.1 $x^{10} - 2 x^{9} + 6 x^{8} - 8 x^{7} + 12 x^{6} - 7 x^{5} + 10 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 1$ $-\,3^{5}\cdot 17431^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $66.771244213$
10.2.74145753125.1 $x^{10} - 2 x^{9} + x^{8} + x^{7} - x^{6} - 4 x^{5} - 2 x^{4} - 7 x^{2} - 5 x - 1$ $5^{5}\cdot 4871^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $24.1544548307$
10.2.75522050000.1 $x^{10} - 2 x^{8} - 4 x^{7} - x^{6} + 2 x^{5} + x^{4} - 4 x^{3} + 2 x + 1$ $2^{4}\cdot 5^{5}\cdot 1229^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $40.8036436147$
10.0.77914570752.1 $x^{10} - 2 x^{8} - 2 x^{7} - 3 x^{6} + 4 x^{5} + 7 x^{4} + 2 x^{3} - 2 x^{2} - 4 x + 3$ $-\,2^{17}\cdot 3^{2}\cdot 257^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $49.0528735748$
10.0.78452312832.1 $x^{10} - 5 x^{9} + 13 x^{8} - 20 x^{7} + 18 x^{6} - 4 x^{5} - 8 x^{4} + 8 x^{3} + x^{2} - 3 x + 3$ $-\,2^{8}\cdot 3^{5}\cdot 1123^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $104.070624941$
10.0.80420573952.1 $x^{10} - 4 x^{9} + 10 x^{8} - 14 x^{7} + 16 x^{6} - 14 x^{5} + 8 x^{4} - 12 x^{3} + 8 x^{2} + 4$ $-\,2^{8}\cdot 3^{7}\cdot 379^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $99.6440004021$
10.0.81271579392.1 $x^{10} - 2 x^{9} + 2 x^{8} - 4 x^{6} + 2 x^{5} - 4 x^{3} + 8 x^{2} - 4 x + 4$ $-\,2^{8}\cdot 3^{9}\cdot 127^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $88.1070276505$
10.2.81408800000.1 $x^{10} - 3 x^{9} - x^{8} + 8 x^{7} + x^{6} - 7 x^{5} - 7 x^{4} + 2 x^{3} + 5 x^{2} + 5 x + 1$ $2^{8}\cdot 5^{5}\cdot 11^{2}\cdot 29^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $36.4855682182$
10.0.81491689472.1 $x^{10} - 4 x^{9} + 8 x^{8} - 14 x^{7} + 17 x^{6} - 12 x^{5} + 17 x^{4} - 24 x^{3} + 17 x^{2} - 6 x + 1$ $-\,2^{15}\cdot 19^{2}\cdot 83^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $17.4767132602$
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