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Label Polynomial Discriminant Galois group Class group Regulator
10.4.28385661303.1 $x^{10} - x^{9} + 3 x^{7} - 9 x^{6} + 9 x^{5} - 9 x^{4} + 3 x^{3} - x + 1$ $-\,3^{9}\cdot 29\cdot 223^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $22.8971348672$
10.4.40131452187.1 $x^{10} - x^{9} - 3 x^{8} + 3 x^{7} - 6 x^{5} + 12 x^{4} + 6 x^{3} - 12 x^{2} - 4 x + 1$ $-\,3^{9}\cdot 41\cdot 223^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $27.8079068559$
10.4.42548032512.1 $x^{10} - 2 x^{9} - 3 x^{6} + 6 x^{5} + 6 x^{2} + 4 x + 1$ $-\,2^{10}\cdot 3^{9}\cdot 2111$ $S_5^2 \wr C_2$ (as 10T43) trivial $30.0155419674$
10.0.45567975519.1 $x^{10} - 5 x^{9} + 12 x^{8} - 15 x^{7} + 6 x^{6} + 12 x^{5} - 18 x^{4} + 6 x^{3} + 6 x^{2} - 5 x + 1$ $-\,3^{9}\cdot 11^{2}\cdot 19^{2}\cdot 53$ $C_2 \wr S_5$ (as 10T39) $[2]$ $11.4298147407$
10.2.47287521765.1 $x^{10} - 2 x^{9} + 6 x^{7} - 9 x^{6} - 3 x^{5} + 12 x^{4} - 6 x^{3} - 3 x^{2} - 2 x + 1$ $3^{9}\cdot 5\cdot 11^{3}\cdot 19^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $32.6490922343$
10.0.50801665536.1 $x^{10} - x^{9} + 3 x^{8} - 6 x^{7} + 6 x^{6} - 9 x^{5} + 12 x^{4} - 6 x^{3} + 9 x^{2} - 4 x + 1$ $-\,2^{9}\cdot 3^{9}\cdot 71^{2}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $16.6729550872$
10.4.51339720024.1 $x^{10} - 4 x^{9} + 9 x^{8} - 9 x^{7} + 18 x^{5} - 18 x^{4} + 6 x^{3} + 9 x^{2} - 7 x + 1$ $-\,2^{3}\cdot 3^{9}\cdot 571^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $53.7726225895$
10.2.57604799241.1 $x^{10} - 5 x^{9} + 9 x^{8} - 6 x^{7} + 3 x^{6} - 9 x^{5} + 12 x^{4} - 3 x^{3} - 9 x^{2} + 7 x + 1$ $3^{9}\cdot 11^{2}\cdot 19^{2}\cdot 67$ $C_2 \wr S_5$ (as 10T39) trivial $26.4737469855$
10.2.59111493525.1 $x^{10} - x^{9} - 3 x^{5} - x + 1$ $3^{9}\cdot 5^{2}\cdot 7\cdot 131^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $34.9636729654$
10.4.63623033955.1 $x^{10} - 2 x^{9} + 3 x^{8} - 9 x^{6} + 15 x^{5} - 12 x^{4} - 6 x^{3} + 24 x^{2} - 14 x + 1$ $-\,3^{9}\cdot 5\cdot 13\cdot 223^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $41.5406864251$
10.2.77326456653.1 $x^{10} + 3 x^{8} - 3 x^{7} + 6 x^{6} - 6 x^{5} + 6 x^{4} - 9 x^{3} + 3 x^{2} - 3 x - 3$ $3^{9}\cdot 79\cdot 223^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $37.1967324175$
10.2.77326456653.2 $x^{10} - 3 x^{9} + 6 x^{8} - 6 x^{7} + 9 x^{6} - 15 x^{5} + 21 x^{4} - 15 x^{3} - 3$ $3^{9}\cdot 79\cdot 223^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $36.8299212059$
10.2.79205100588.1 $x^{10} - x^{9} - 3 x^{7} - 6 x^{5} - 3 x^{3} - x + 1$ $2^{2}\cdot 3^{9}\cdot 17^{2}\cdot 59^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $52.9475431265$
10.4.98860406607.1 $x^{10} - x^{9} + 6 x^{7} - 6 x^{5} + 6 x^{4} + 9 x^{3} - 12 x^{2} - 7 x + 1$ $-\,3^{9}\cdot 101\cdot 223^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $58.6520918702$
10.0.98860406607.1 $x^{10} - 5 x^{9} + 18 x^{8} - 42 x^{7} + 72 x^{6} - 90 x^{5} + 78 x^{4} - 45 x^{3} + 18 x^{2} - 5 x + 1$ $-\,3^{9}\cdot 101\cdot 223^{2}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $15.0239211536$
10.4.99144373248.1 $x^{10} - 2 x^{9} + 6 x^{7} - 12 x^{6} + 18 x^{4} - 9 x^{2} - 2 x + 1$ $-\,2^{10}\cdot 3^{9}\cdot 4919$ $S_5^2 \wr C_2$ (as 10T43) trivial $58.1690954255$
10.2.101603331072.1 $x^{10} + 3 x^{8} - 3 x^{6} - 6 x^{4} + 12 x^{2} - 3$ $2^{10}\cdot 3^{9}\cdot 71^{2}$ $S_5\times C_2$ (as 10T22) trivial $48.1918668986$
10.0.107953539264.1 $x^{10} - x^{9} + 3 x^{8} - 3 x^{7} + 6 x^{6} - 6 x^{5} + 6 x^{4} - 3 x^{3} + 3 x^{2} - x + 1$ $-\,2^{6}\cdot 3^{9}\cdot 17\cdot 71^{2}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $26.2443031523$
10.4.110606197491.1 $x^{10} - 3 x^{9} + 3 x^{8} - 3 x^{7} + 6 x^{6} - 21 x^{5} + 48 x^{4} - 51 x^{3} + 24 x^{2} - 3$ $-\,3^{9}\cdot 113\cdot 223^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $48.1844696893$
10.2.112563829305.1 $x^{10} - 4 x^{9} + 9 x^{8} - 15 x^{7} + 18 x^{6} - 21 x^{5} + 18 x^{4} - 15 x^{3} + 9 x^{2} - 4 x + 1$ $3^{9}\cdot 5\cdot 23\cdot 223^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $39.1222483297$
10.0.118910671704.1 $x^{10} - x^{9} - 3 x^{7} + 6 x^{6} + 3 x^{4} - 6 x^{3} + 3 x^{2} + 2 x + 1$ $-\,2^{3}\cdot 3^{9}\cdot 11^{2}\cdot 79^{2}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $26.7558265673$
10.2.120668127408.1 $x^{10} - x^{9} - 3 x^{8} - 3 x^{7} - 3 x^{3} - 3 x^{2} - x + 1$ $2^{4}\cdot 3^{9}\cdot 619^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $50.2089930904$
10.0.135605477376.1 $x^{10} - 2 x^{9} + 3 x^{8} + 12 x^{3} + 24 x^{2} + 16 x + 4$ $-\,2^{13}\cdot 3^{9}\cdot 29^{2}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $44.2264890099$
10.2.136055411073.1 $x^{10} - x^{9} + 3 x^{8} - 3 x^{7} + 9 x^{6} - 9 x^{4} + 21 x^{3} - 9 x^{2} + 2 x + 1$ $3^{9}\cdot 139\cdot 223^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $54.0070079248$
10.4.145843570143.1 $x^{10} - x^{9} - 6 x^{8} + 6 x^{7} + 9 x^{6} - 15 x^{5} - 3 x^{4} + 12 x^{3} - 3 x^{2} - 4 x + 1$ $-\,3^{9}\cdot 149\cdot 223^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $58.8478868722$
10.4.154269390051.1 $x^{10} - 4 x^{9} + 9 x^{7} - 3 x^{6} - 6 x^{5} + 6 x^{4} + 3 x^{3} - 6 x^{2} - 4 x + 1$ $-\,3^{9}\cdot 7^{2}\cdot 17\cdot 97^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $72.669259852$
10.2.158335720704.1 $x^{10} - 2 x^{9} + 3 x^{8} - 3 x^{6} + 9 x^{5} - 9 x^{4} + 6 x^{3} - 2 x - 2$ $2^{8}\cdot 3^{9}\cdot 7\cdot 67^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $83.5683780376$
10.0.159058027755.1 $x^{10} - 2 x^{9} + 3 x^{8} - 3 x^{7} + 3 x^{6} - 6 x^{3} + 9 x^{2} - 5 x + 1$ $-\,3^{9}\cdot 5\cdot 11^{2}\cdot 19^{2}\cdot 37$ $C_2 \wr S_5$ (as 10T39) $[2]$ $20.8854902445$
10.2.159546992841.1 $x^{10} - 5 x^{9} + 9 x^{8} - 15 x^{6} - 3 x^{5} + 60 x^{4} - 87 x^{3} + 48 x^{2} - 2 x - 5$ $3^{9}\cdot 163\cdot 223^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $58.1697942632$
10.2.160777574001.1 $x^{10} - 4 x^{9} + 15 x^{8} - 33 x^{7} + 60 x^{6} - 81 x^{5} + 84 x^{4} - 75 x^{3} + 45 x^{2} - 16 x + 1$ $3^{9}\cdot 11^{3}\cdot 17\cdot 19^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $57.9308324855$
10.2.163517860944.1 $x^{10} - x^{9} - 3 x^{7} + 3 x^{6} + 3 x^{5} - 3 x^{4} - 3 x^{3} - 3 x^{2} + 8 x + 4$ $2^{4}\cdot 3^{9}\cdot 71^{2}\cdot 103$ $C_2 \wr S_5$ (as 10T39) trivial $139.827566148$
10.0.163990567872.1 $x^{10} + 3 x^{8} - 3 x^{7} - 6 x^{5} + 3 x^{4} + 3 x^{3} + 3 x^{2} + 6 x + 6$ $-\,2^{6}\cdot 3^{9}\cdot 29\cdot 67^{2}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $57.5561154469$
10.4.167089872735.1 $x^{10} - 4 x^{9} + 6 x^{8} - 9 x^{6} + 9 x^{5} - 9 x^{4} + 6 x^{2} - 4 x + 1$ $-\,3^{9}\cdot 5\cdot 1303^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $80.2174654776$
10.0.169375305231.1 $x^{10} - 2 x^{9} + 3 x^{8} - 3 x^{7} - 3 x^{5} + 6 x^{4} + 9 x^{3} + 9 x^{2} + 4 x + 1$ $-\,3^{9}\cdot 11^{2}\cdot 19^{2}\cdot 197$ $C_2 \wr S_5$ (as 10T39) $[2]$ $22.1854512436$
10.2.171404504433.1 $x^{10} - 5 x^{9} + 12 x^{8} - 18 x^{7} + 21 x^{6} - 21 x^{5} + 18 x^{4} - 12 x^{3} + 9 x^{2} - 5 x + 1$ $3^{9}\cdot 19\cdot 677^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $49.8325987422$
10.0.173563119360.1 $x^{10} - 2 x^{9} + 6 x^{8} - 6 x^{7} + 12 x^{6} - 6 x^{5} + 12 x^{4} - 6 x^{3} + 6 x^{2} - 2 x + 1$ $-\,2^{8}\cdot 3^{9}\cdot 5\cdot 83^{2}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $61.1940760187$
10.0.179692582707.1 $x^{10} - 2 x^{9} + 6 x^{8} - 6 x^{7} + 12 x^{6} - 6 x^{5} + 12 x^{4} - 3 x^{3} + 6 x^{2} + 4 x + 1$ $-\,3^{9}\cdot 11^{3}\cdot 19^{3}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $29.7699788473$
10.4.181080942795.1 $x^{10} - 5 x^{9} + 9 x^{8} - 6 x^{7} - 12 x^{6} + 36 x^{5} - 48 x^{4} + 39 x^{3} - 15 x^{2} + x + 1$ $-\,3^{9}\cdot 5\cdot 37\cdot 223^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $71.8878241488$
10.2.190118313513.1 $x^{10} - 3 x^{9} + 6 x^{8} - 3 x^{7} - 12 x^{6} + 36 x^{5} - 54 x^{4} + 54 x^{3} - 36 x^{2} + 15 x - 3$ $3^{9}\cdot 19\cdot 23^{2}\cdot 31^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $67.4678923632$
10.2.194784365493.1 $x^{10} - x^{9} - 3 x^{8} + 3 x^{7} + 6 x^{6} - 9 x^{5} - 9 x^{4} + 6 x^{3} + 6 x^{2} + 2 x - 5$ $3^{9}\cdot 199\cdot 223^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $65.9326651027$
10.2.194784365493.2 $x^{10} - 3 x^{9} + 12 x^{7} - 12 x^{6} - 15 x^{5} + 33 x^{4} - 6 x^{3} - 21 x^{2} + 15 x - 3$ $3^{9}\cdot 199\cdot 223^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $65.2861748336$
10.2.209127308544.1 $x^{10} - 2 x^{9} + 6 x^{7} - 6 x^{6} - 6 x^{5} + 12 x^{4} - 12 x^{2} + 4 x + 4$ $2^{8}\cdot 3^{9}\cdot 7^{3}\cdot 11^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $71.4157865538$
10.0.210644415135.1 $x^{10} - 2 x^{9} + 6 x^{8} - 12 x^{7} + 21 x^{6} - 24 x^{5} + 30 x^{4} - 42 x^{3} + 30 x^{2} - 8 x + 1$ $-\,3^{9}\cdot 5\cdot 7^{2}\cdot 11^{2}\cdot 19^{2}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $28.7664495779$
10.2.214607764332.1 $x^{10} - x^{9} + 3 x^{7} + 3 x^{3} - x + 1$ $2^{2}\cdot 3^{9}\cdot 13^{2}\cdot 127^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $100.048457885$
10.6.218275947261.1 $x^{10} - x^{9} - 6 x^{8} + 6 x^{7} + 6 x^{6} - 3 x^{5} + 3 x^{4} - 6 x^{3} - 6 x^{2} + 2 x + 1$ $3^{9}\cdot 223^{3}$ $C_2 \wr S_5$ (as 10T39) trivial $102.115653744$
10.4.218710980927.1 $x^{10} - x^{9} + 3 x^{8} - 12 x^{6} + 15 x^{5} - 12 x^{4} + 3 x^{2} - x + 1$ $-\,3^{9}\cdot 29\cdot 619^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $73.7467852538$
10.0.225541533051.1 $x^{10} - 2 x^{9} + 3 x^{8} - 6 x^{7} + 9 x^{6} - 9 x^{5} + 9 x^{4} - 6 x^{3} + 3 x^{2} - 2 x + 1$ $-\,3^{9}\cdot 17\cdot 821^{2}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $23.7252047058$
10.2.229951056492.1 $x^{10} - 3 x^{8} - 3 x^{6} + 9 x^{4} + 9 x^{2} - 12$ $2^{2}\cdot 3^{9}\cdot 1709^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $104.28833875$
10.2.230021738145.1 $x^{10} - 5 x^{9} + 12 x^{8} - 18 x^{7} + 18 x^{6} - 6 x^{5} - 18 x^{4} + 39 x^{3} - 48 x^{2} + 43 x - 23$ $3^{9}\cdot 5\cdot 47\cdot 223^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $62.8426420266$
10.2.230021738145.2 $x^{10} - 2 x^{9} - 3 x^{8} + 6 x^{7} + 9 x^{6} - 15 x^{5} - 9 x^{4} + 42 x^{3} - 48 x^{2} + 25 x - 5$ $3^{9}\cdot 5\cdot 47\cdot 223^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $63.4297582889$
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