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Label Polynomial Discriminant Galois group Class group Regulator
10.0.246071287.1 $x^{10} - 3 x^{9} + 7 x^{8} - 12 x^{7} + 15 x^{6} - 15 x^{5} + 12 x^{4} - 7 x^{3} + 4 x^{2} - 2 x + 1$ $-\,7^{5}\cdot 11^{4}$ $D_5\times C_5$ (as 10T6) trivial $0.634803768223$
10.0.2860769891.1 $x^{10} - 2 x^{9} + 5 x^{8} - 6 x^{7} + 9 x^{6} - 9 x^{5} + 9 x^{4} - 7 x^{3} + 6 x^{2} - 3 x + 1$ $-\,7^{5}\cdot 170213$ $S_5^2 \wr C_2$ (as 10T43) trivial $4.59739370596$
10.0.3467418556.1 $x^{10} - x^{9} + x^{8} - x^{7} + 2 x^{6} - 3 x^{5} + 3 x^{4} + 4 x^{2} + x + 1$ $-\,2^{2}\cdot 7^{5}\cdot 51577$ $S_5^2 \wr C_2$ (as 10T43) trivial $5.87294428562$
10.0.4829205731.1 $x^{10} + 2 x^{8} - 2 x^{7} + 2 x^{6} + 2 x^{4} + x^{3} + x + 1$ $-\,7^{5}\cdot 287333$ $S_5^2 \wr C_2$ (as 10T43) trivial $4.49035282809$
10.0.4907862491.1 $x^{10} - x^{9} + 2 x^{8} + x^{7} - 2 x^{6} + 5 x^{5} - x^{4} + x^{3} + 4 x^{2} - x + 2$ $-\,7^{5}\cdot 43\cdot 6791$ $S_5^2 \wr C_2$ (as 10T43) trivial $6.57002569759$
10.0.4978451891.1 $x^{10} - x^{9} + 2 x^{8} - x^{7} + x^{6} + x^{4} - 2 x^{3} + 3 x^{2} - 3 x + 1$ $-\,7^{5}\cdot 296213$ $S_5^2 \wr C_2$ (as 10T43) trivial $6.31636636934$
10.0.5230741768.1 $x^{10} - 2 x^{9} + 2 x^{8} + 3 x^{4} - 3 x^{3} + 3 x^{2} - x + 1$ $-\,2^{3}\cdot 7^{5}\cdot 38903$ $S_5^2 \wr C_2$ (as 10T43) trivial $6.80633052698$
10.0.5293331036.1 $x^{10} + 2 x^{8} - x^{7} + 5 x^{6} - 3 x^{5} + 6 x^{4} - 4 x^{3} + 5 x^{2} - 4 x + 1$ $-\,2^{2}\cdot 7^{5}\cdot 78737$ $S_5^2 \wr C_2$ (as 10T43) trivial $7.53800610072$
10.0.5537923307.1 $x^{10} - 2 x^{9} + x^{8} + 2 x^{7} - 5 x^{6} + 5 x^{5} - x^{4} - 3 x^{3} + 6 x^{2} - 3 x + 1$ $-\,7^{5}\cdot 53\cdot 6217$ $S_5^2 \wr C_2$ (as 10T43) trivial $6.95718223368$
10.0.5699052016.1 $x^{10} - x^{9} + x^{8} + x^{7} + 2 x^{6} - x^{5} + 2 x^{4} + 3 x^{3} + 5 x^{2} + 2 x + 1$ $-\,2^{4}\cdot 7^{5}\cdot 21193$ $S_5^2 \wr C_2$ (as 10T43) trivial $11.0573585403$
10.0.6026049008.1 $x^{10} - x^{9} + 3 x^{8} - 4 x^{7} + 6 x^{6} - 7 x^{5} + 8 x^{4} - 6 x^{3} + 4 x^{2} - 3 x + 1$ $-\,2^{4}\cdot 7^{5}\cdot 22409$ $S_5^2 \wr C_2$ (as 10T43) trivial $8.39832099222$
10.0.6031645739.1 $x^{10} - x^{9} + x^{8} + x^{7} + 3 x^{4} - x^{3} - 3 x^{2} + 1$ $-\,7^{5}\cdot 358877$ $S_5^2 \wr C_2$ (as 10T43) trivial $6.80553277033$
10.0.6055578907.1 $x^{10} - x^{9} - 3 x^{8} + 4 x^{7} + 3 x^{6} - 4 x^{5} + x^{4} + x^{3} + x + 1$ $-\,7^{5}\cdot 571\cdot 631$ $S_5^2 \wr C_2$ (as 10T43) trivial $7.11383190793$
10.0.6138874399.1 $x^{10} - x^{9} + x^{8} - x^{7} + 2 x^{6} - 3 x^{5} + 3 x^{4} - 3 x^{2} + x + 1$ $-\,7^{5}\cdot 365257$ $S_5^2 \wr C_2$ (as 10T43) trivial $4.46517121108$
10.0.6486762492.1 $x^{10} - x^{9} + x^{8} - x^{7} + x^{5} - x^{4} + x + 1$ $-\,2^{2}\cdot 3^{2}\cdot 7^{5}\cdot 71\cdot 151$ $S_5^2 \wr C_2$ (as 10T43) trivial $8.75270948431$
10.0.6807776192.1 $x^{10} - x^{9} - x^{8} + 3 x^{6} - x^{5} + 4 x^{3} + 2 x^{2} + 1$ $-\,2^{6}\cdot 7^{5}\cdot 6329$ $S_5^2 \wr C_2$ (as 10T43) trivial $12.573797171$
10.0.6964770379.1 $x^{10} - x^{9} - 2 x^{8} + 3 x^{7} + 2 x^{6} - x^{5} - 3 x^{4} - 3 x^{3} + 2 x^{2} + 2 x + 1$ $-\,7^{5}\cdot 414397$ $S_5^2 \wr C_2$ (as 10T43) trivial $5.66208136918$
10.0.7135596727.1 $x^{10} - 3 x^{9} + 5 x^{8} - 7 x^{7} + 7 x^{6} - 6 x^{5} + 5 x^{4} - 3 x^{3} + 3 x^{2} - 2 x + 1$ $-\,7^{5}\cdot 127\cdot 3343$ $S_5^2 \wr C_2$ (as 10T43) trivial $4.43283235846$
10.0.7900903472.1 $x^{10} - 3 x^{9} + 7 x^{8} - 14 x^{7} + 23 x^{6} - 29 x^{5} + 28 x^{4} - 20 x^{3} + 12 x^{2} - 4 x + 1$ $-\,2^{4}\cdot 7^{5}\cdot 11\cdot 2671$ $S_5^2 \wr C_2$ (as 10T43) trivial $8.59637921304$
10.0.8374205399.1 $x^{10} - x^{9} + x^{7} + 2 x^{6} + 2 x^{5} + 3 x^{4} + x^{3} + 2 x^{2} + 3 x + 2$ $-\,7^{5}\cdot 498257$ $S_5^2 \wr C_2$ (as 10T43) trivial $10.3655652261$
10.0.9382692627.1 $x^{10} - x^{9} - 2 x^{8} + 5 x^{7} - 4 x^{6} - 3 x^{5} + 11 x^{4} - 11 x^{3} + 8 x^{2} - 4 x + 1$ $-\,3^{2}\cdot 7^{5}\cdot 11\cdot 5639$ $S_5^2 \wr C_2$ (as 10T43) trivial $6.69390569864$
10.0.9623822656.1 $x^{10} - 2 x^{9} + 2 x^{8} - 5 x^{7} + 9 x^{6} - 11 x^{5} + 8 x^{4} - 2 x^{3} + 2 x^{2} - 2 x + 2$ $-\,2^{6}\cdot 7^{5}\cdot 23\cdot 389$ $S_5^2 \wr C_2$ (as 10T43) trivial $15.6631148749$
10.0.10683067024.1 $x^{10} - x^{9} + 4 x^{8} - 6 x^{7} + 8 x^{6} - 11 x^{5} + 10 x^{4} - 8 x^{3} + 7 x^{2} - x + 1$ $-\,2^{4}\cdot 7^{5}\cdot 39727$ $S_5^2 \wr C_2$ (as 10T43) trivial $11.0043794003$
10.0.10807253947.1 $x^{10} + 4 x^{8} - 2 x^{7} + 7 x^{6} - 5 x^{5} + 7 x^{4} - 5 x^{3} + 5 x^{2} - 5 x + 2$ $-\,7^{5}\cdot 643021$ $S_5^2 \wr C_2$ (as 10T43) trivial $10.4726709162$
10.0.11042131772.1 $x^{10} - 2 x^{8} - 3 x^{7} + x^{6} + 5 x^{5} + 4 x^{4} - 2 x^{3} - 3 x^{2} + 1$ $-\,2^{2}\cdot 7^{5}\cdot 164249$ $S_5^2 \wr C_2$ (as 10T43) trivial $11.9393979201$
10.0.11741975252.1 $x^{10} - 2 x^{6} - x^{5} + 7 x^{4} - 6 x^{2} + x + 2$ $-\,2^{2}\cdot 7^{5}\cdot 174659$ $S_5^2 \wr C_2$ (as 10T43) trivial $18.0173629096$
10.0.11743739987.1 $x^{10} - 2 x^{9} + 2 x^{8} - 3 x^{7} + 4 x^{6} - 6 x^{5} + 6 x^{4} - 6 x^{3} + 5 x^{2} + 1$ $-\,7^{5}\cdot 331\cdot 2111$ $S_5^2 \wr C_2$ (as 10T43) trivial $10.9162480314$
10.0.11877036304.1 $x^{10} - 3 x^{9} + 5 x^{8} - 4 x^{7} + 3 x^{6} - 4 x^{5} + 7 x^{4} - 7 x^{3} + 6 x^{2} - 4 x + 2$ $-\,2^{4}\cdot 7^{5}\cdot 29\cdot 1523$ $S_5^2 \wr C_2$ (as 10T43) trivial $16.9388787344$
10.0.12241680976.1 $x^{10} - 3 x^{9} + 3 x^{8} - 2 x^{7} + x^{5} + 4 x^{4} - 6 x^{3} + 8 x^{2} - 5 x + 1$ $-\,2^{4}\cdot 7^{5}\cdot 45523$ $S_5^2 \wr C_2$ (as 10T43) trivial $12.558766672$
10.0.13536761168.1 $x^{10} - x^{9} + 3 x^{7} - 3 x^{6} + 2 x^{5} + x^{4} - 2 x^{3} + 3 x^{2} - 2 x + 2$ $-\,2^{4}\cdot 7^{5}\cdot 71\cdot 709$ $S_5^2 \wr C_2$ (as 10T43) trivial $18.9883540559$
10.0.14030365951.1 $x^{10} - 3 x^{9} + 5 x^{8} - 8 x^{7} + 11 x^{6} - 12 x^{5} + 11 x^{4} - 6 x^{3} + 5 x^{2} - x + 1$ $-\,7^{5}\cdot 79\cdot 10567$ $S_5^2 \wr C_2$ (as 10T43) trivial $19.2760399891$
10.0.14218184176.1 $x^{10} - 2 x^{9} - x^{8} + x^{7} + 6 x^{6} - x^{5} - 4 x^{4} + 3 x^{3} + 3 x^{2} - 3 x + 1$ $-\,2^{4}\cdot 7^{5}\cdot 37\cdot 1429$ $S_5^2 \wr C_2$ (as 10T43) trivial $19.2707784318$
10.0.14809790576.1 $x^{10} - x^{9} + x^{7} + 5 x^{6} + 4 x^{5} + x^{3} + 4 x^{2} + 5 x + 2$ $-\,2^{4}\cdot 7^{5}\cdot 55073$ $S_5^2 \wr C_2$ (as 10T43) trivial $19.8000126215$
10.0.15625333444.1 $x^{10} - x^{9} - 2 x^{7} + 5 x^{6} + 2 x^{5} + 4 x^{4} - 4 x^{3} - x^{2} - x + 1$ $-\,2^{2}\cdot 7^{5}\cdot 67\cdot 3469$ $S_5^2 \wr C_2$ (as 10T43) trivial $13.551878172$
10.0.15954280048.1 $x^{10} - 2 x^{9} - 3 x^{8} + 4 x^{7} + 7 x^{6} - x^{5} - 8 x^{4} - 4 x^{3} + 4 x^{2} + 3 x + 1$ $-\,2^{4}\cdot 7^{5}\cdot 79\cdot 751$ $S_5^2 \wr C_2$ (as 10T43) trivial $15.6962879566$
10.0.15966532351.1 $x^{10} - x^{9} + 2 x^{7} - 3 x^{6} + x^{5} + x^{4} - 2 x^{3} + x^{2} + 1$ $-\,7^{5}\cdot 11\cdot 67\cdot 1289$ $S_5^2 \wr C_2$ (as 10T43) trivial $7.53247707136$
10.0.16477465151.1 $x^{10} - 3 x^{9} + 6 x^{8} - 6 x^{7} + 4 x^{6} - 3 x^{4} + 3 x^{3} - x^{2} - x + 2$ $-\,7^{5}\cdot 980393$ $S_5^2 \wr C_2$ (as 10T43) trivial $21.7949165721$
10.0.16531365200.1 $x^{10} - 3 x^{9} + 5 x^{8} - 4 x^{7} - 2 x^{6} + 9 x^{5} - 9 x^{4} + 2 x^{3} + 7 x^{2} - 9 x + 4$ $-\,2^{4}\cdot 5^{2}\cdot 7^{5}\cdot 2459$ $S_5^2 \wr C_2$ (as 10T43) trivial $15.2398489508$
10.0.16605870631.1 $x^{10} - x^{9} + 2 x^{8} - 2 x^{7} + 2 x^{6} - 6 x^{5} + 2 x^{4} - x^{3} + 4 x^{2} - x + 1$ $-\,7^{5}\cdot 988033$ $S_5^2 \wr C_2$ (as 10T43) trivial $7.2491419932$
10.0.16738645931.1 $x^{10} - x^{9} - 3 x^{7} + 3 x^{6} - x^{5} + 3 x^{4} - 2 x^{3} + 3 x^{2} + 1$ $-\,7^{5}\cdot 109\cdot 9137$ $S_5^2 \wr C_2$ (as 10T43) trivial $13.4445469014$
10.0.17071407724.1 $x^{10} + 3 x^{8} - x^{7} + x^{6} + x^{4} + 2 x^{3} + 5 x^{2} + 3 x + 1$ $-\,2^{2}\cdot 7^{5}\cdot 197\cdot 1289$ $S_5^2 \wr C_2$ (as 10T43) trivial $17.8318265153$
10.0.17277528772.1 $x^{10} - x^{9} - 4 x^{7} + 5 x^{6} - 3 x^{5} + 4 x^{4} - x^{2} + 2 x + 1$ $-\,2^{2}\cdot 7^{5}\cdot 233\cdot 1103$ $S_5^2 \wr C_2$ (as 10T43) trivial $12.8712052687$
10.0.17539129727.1 $x^{10} - 3 x^{9} + 4 x^{8} - 3 x^{7} + x^{6} + 2 x^{5} + x^{4} + 4 x^{2} + 1$ $-\,7^{5}\cdot 151\cdot 6911$ $S_5^2 \wr C_2$ (as 10T43) trivial $22.1126891723$
10.0.17932077387.1 $x^{10} - 4 x^{9} + 10 x^{8} - 19 x^{7} + 29 x^{6} - 35 x^{5} + 36 x^{4} - 27 x^{3} + 16 x^{2} - 6 x + 1$ $-\,3^{2}\cdot 7^{5}\cdot 118549$ $S_5^2 \wr C_2$ (as 10T43) trivial $13.7227870607$
10.0.18386320176.1 $x^{10} + 4 x^{8} - 4 x^{7} + 6 x^{6} - 13 x^{5} + 15 x^{4} - 14 x^{3} + 11 x^{2} - 5 x + 1$ $-\,2^{4}\cdot 3^{2}\cdot 7^{5}\cdot 71\cdot 107$ $S_5^2 \wr C_2$ (as 10T43) trivial $13.7382914718$
10.0.19052616884.1 $x^{10} - 4 x^{9} + 11 x^{8} - 19 x^{7} + 25 x^{6} - 21 x^{5} + 11 x^{4} + x^{3} - 3 x^{2} + x + 1$ $-\,2^{2}\cdot 7^{5}\cdot 283403$ $S_5^2 \wr C_2$ (as 10T43) trivial $14.8093268079$
10.0.19112264927.1 $x^{10} - x^{9} - 2 x^{8} + 5 x^{7} - 4 x^{6} + 6 x^{4} - 10 x^{3} + 9 x^{2} - 5 x + 2$ $-\,7^{5}\cdot 1137161$ $S_5^2 \wr C_2$ (as 10T43) trivial $17.2064994593$
10.0.19148500819.1 $x^{10} - x^{9} + x^{7} - x^{6} + 2 x^{5} - 2 x^{4} - x^{3} + x^{2} - x + 2$ $-\,7^{5}\cdot 127\cdot 8971$ $S_5^2 \wr C_2$ (as 10T43) trivial $13.4230054275$
10.0.19605987359.1 $x^{10} - 2 x^{9} - x^{7} + 2 x^{6} + 2 x^{5} + 3 x^{4} - x^{3} - 5 x^{2} + x + 2$ $-\,7^{5}\cdot 23\cdot 67\cdot 757$ $S_5^2 \wr C_2$ (as 10T43) trivial $24.2137146422$
10.0.20068633648.1 $x^{10} - 2 x^{9} + x^{7} - 3 x^{5} + 6 x^{4} - x^{3} + x^{2} - 2 x + 1$ $-\,2^{4}\cdot 7^{5}\cdot 37\cdot 2017$ $S_5^2 \wr C_2$ (as 10T43) trivial $16.9882989094$
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