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Label Polynomial Discriminant Galois group Class group Regulator
10.2.12500000000.1 $x^{10} - 5 x^{9} + 15 x^{8} - 30 x^{7} + 45 x^{6} - 49 x^{5} + 35 x^{4} - 10 x^{3} - 5 x^{2} + 5 x - 1$ $2^{8}\cdot 5^{11}$ $F_5$ (as 10T4) trivial $11.2490967281$
10.2.16063620352.1 $x^{10} - x^{9} - 3 x^{8} + 5 x^{6} + x^{5} - 5 x^{4} + 3 x^{2} - x - 1$ $2^{8}\cdot 13^{7}$ $F_5$ (as 10T4) trivial $11.9464729334$
10.2.30517578125.1 $x^{10} - x^{5} - 1$ $5^{15}$ $F_5$ (as 10T4) trivial $19.26839925$
10.2.33237432513.1 $x^{10} - x^{9} - 2 x^{8} + 7 x^{7} + x^{6} - 3 x^{5} - x^{4} + 7 x^{3} + 2 x^{2} - x - 1$ $3^{4}\cdot 17^{7}$ $F_5$ (as 10T4) trivial $16.5924453165$
10.2.131220000000.2 $x^{10} - 3 x^{9} + 5 x^{8} - 12 x^{7} + 25 x^{6} - 33 x^{5} + 25 x^{4} - 12 x^{3} + 5 x^{2} - 3 x + 1$ $2^{8}\cdot 3^{8}\cdot 5^{7}$ $F_5$ (as 10T4) trivial $54.9005423291$
10.2.146418828125.1 $x^{10} + x^{8} + x^{6} + 11 x^{4} + 11 x^{2} - 5$ $5^{7}\cdot 37^{4}$ $F_5$ (as 10T4) trivial $58.9013919888$
10.2.200000000000.1 $x^{10} + 5 x^{8} + 5 x^{6} - 5 x^{4} - 5 x^{2} - 5$ $2^{12}\cdot 5^{11}$ $F_5$ (as 10T4) trivial $80.4922034387$
10.2.220150628352.1 $x^{10} + 2 x^{8} + 10 x^{6} - 8 x^{4} - 7 x^{2} - 2$ $2^{25}\cdot 3^{8}$ $F_5$ (as 10T4) trivial $214.411536728$
10.2.320361328125.1 $x^{10} - 5 x^{9} + 5 x^{8} + 10 x^{7} - 15 x^{6} - 8 x^{5} + 40 x^{3} - 35 x^{2} + 10 x - 4$ $3^{8}\cdot 5^{11}$ $F_5$ (as 10T4) trivial $72.2077929702$
10.2.450375078125.1 $x^{10} - x^{8} + 6 x^{6} - 11 x^{4} + 6 x^{2} - 5$ $5^{7}\cdot 7^{8}$ $F_5$ (as 10T4) trivial $113.325900164$
10.2.491270438912.1 $x^{10} - 2 x^{9} + x^{8} - 6 x^{6} - 20 x^{5} - 6 x^{4} + x^{2} - 2 x + 1$ $2^{25}\cdot 11^{4}$ $F_5$ (as 10T4) trivial $348.320899579$
10.2.571220000000.1 $x^{10} - 5 x^{9} + 19 x^{8} - 46 x^{7} + 89 x^{6} - 127 x^{5} + 149 x^{4} - 130 x^{3} + 95 x^{2} - 45 x + 5$ $2^{8}\cdot 5^{7}\cdot 13^{4}$ $F_5$ (as 10T4) trivial $132.376549036$
10.2.616443828125.1 $x^{10} - 3 x^{9} + 3 x^{7} + 10 x^{6} - 23 x^{5} + 10 x^{4} + 3 x^{3} - 3 x + 1$ $5^{7}\cdot 53^{4}$ $F_5$ (as 10T4) trivial $132.993863379$
10.2.768320000000.1 $x^{10} - 3 x^{9} + 5 x^{8} + 8 x^{7} - 35 x^{6} + 57 x^{5} - 35 x^{4} + 8 x^{3} + 5 x^{2} - 3 x + 1$ $2^{12}\cdot 5^{7}\cdot 7^{4}$ $F_5$ (as 10T4) trivial $208.709148831$
10.2.958348132352.1 $x^{10} - 4 x^{9} + 6 x^{8} - 30 x^{6} + 72 x^{5} - 60 x^{4} + 48 x^{2} - 64 x + 32$ $2^{25}\cdot 13^{4}$ $F_5$ (as 10T4) trivial $566.496307909$
10.2.1012500000000.1 $x^{10} - 5 x^{8} - 10 x^{7} - 15 x^{6} + 24 x^{5} + 65 x^{4} + 30 x^{3} + 30 x^{2} + 20 x + 4$ $2^{8}\cdot 3^{4}\cdot 5^{11}$ $F_5$ (as 10T4) trivial $208.058464697$
10.2.1394580078125.1 $x^{10} - 10 x^{8} + 30 x^{6} - 11 x^{5} - 30 x^{4} + 10 x^{2} - 1$ $5^{11}\cdot 13^{4}$ $F_5$ (as 10T4) trivial $168.372771574$
10.2.1670420000000.2 $x^{10} - 2 x^{9} - x^{8} + 14 x^{7} - 26 x^{6} + 38 x^{5} - 54 x^{4} + 30 x^{3} - 35 x^{2} + 20 x - 5$ $2^{8}\cdot 5^{7}\cdot 17^{4}$ $F_5$ (as 10T4) trivial $243.664620978$
10.2.1698693120000.1 $x^{10} - 2 x^{9} - x^{8} + 12 x^{7} - 17 x^{6} - 2 x^{5} + 41 x^{4} - 48 x^{3} + 6 x^{2} + 36 x - 18$ $2^{25}\cdot 3^{4}\cdot 5^{4}$ $F_5$ (as 10T4) trivial $758.765109338$
10.2.1770868828125.1 $x^{10} - 3 x^{9} + 10 x^{8} - 27 x^{7} + 50 x^{6} - 63 x^{5} + 50 x^{4} - 27 x^{3} + 10 x^{2} - 3 x + 1$ $3^{4}\cdot 5^{7}\cdot 23^{4}$ $F_5$ (as 10T4) trivial $260.675718371$
10.2.2099520000000.5 $x^{10} - 3 x^{9} + 2 x^{8} + 15 x^{7} - 29 x^{6} + 30 x^{5} - 17 x^{4} + 21 x^{3} - 4 x^{2} - 15 x - 5$ $2^{12}\cdot 3^{8}\cdot 5^{7}$ $F_5$ (as 10T4) trivial $392.249740018$
10.2.2218612578125.1 $x^{10} - 3 x^{9} + 2 x^{8} + 5 x^{7} + x^{6} - 30 x^{5} + 38 x^{4} + 6 x^{3} - 39 x^{2} + 25 x - 5$ $5^{7}\cdot 73^{4}$ $F_5$ (as 10T4) trivial $295.220316682$
10.2.2621440000000.1 $x^{10} - 6 x^{8} + 26 x^{6} - 56 x^{4} + 41 x^{2} - 10$ $2^{25}\cdot 5^{7}$ $F_5$ (as 10T4) $[2]$ $602.123090501$
10.2.3889620000000.1 $x^{10} - x^{9} - 5 x^{8} + 10 x^{7} - 15 x^{6} + 19 x^{5} - 9 x^{4} + 10 x^{3} + 35 x^{2} - 25 x + 5$ $2^{8}\cdot 3^{4}\cdot 5^{7}\cdot 7^{4}$ $F_5$ (as 10T4) trivial $421.160340288$
10.2.4078173828125.1 $x^{10} - 5 x^{9} + 10 x^{8} - 5 x^{7} - 10 x^{6} + x^{5} + 10 x^{4} - 5 x^{3} - 10 x^{2} - 5 x - 1$ $5^{11}\cdot 17^{4}$ $F_5$ (as 10T4) trivial $303.348055515$
10.2.4372847132672.1 $x^{10} - 4 x^{9} + 4 x^{8} - 4 x^{7} + 15 x^{6} - 16 x^{5} + 26 x^{4} - 56 x^{3} + 50 x^{2} - 48 x + 28$ $2^{25}\cdot 19^{4}$ $F_5$ (as 10T4) trivial $1353.71348669$
10.2.4415968335104.1 $x^{10} - 3 x^{9} + 7 x^{8} - 12 x^{7} - 7 x^{6} + 61 x^{5} - 69 x^{4} + 32 x^{3} - 21 x^{2} + 7 x - 5$ $2^{8}\cdot 29^{7}$ $F_5$ (as 10T4) trivial $348.878664283$
10.2.4901737578125.1 $x^{10} - 4 x^{9} + 13 x^{8} - 30 x^{7} + 46 x^{6} - 55 x^{5} + 47 x^{4} - 8 x^{3} - 9 x^{2} - 5 x + 5$ $5^{7}\cdot 89^{4}$ $F_5$ (as 10T4) trivial $404.050811317$
10.2.5596820000000.1 $x^{10} - 4 x^{9} + 3 x^{8} + 10 x^{7} - 14 x^{6} - 20 x^{5} - 8 x^{4} + 232 x^{3} - 344 x^{2} + 80 x + 80$ $2^{8}\cdot 5^{7}\cdot 23^{4}$ $F_5$ (as 10T4) trivial $654.279061176$
10.2.9139520000000.1 $x^{10} + x^{8} + x^{6} - 9 x^{4} - 9 x^{2} - 5$ $2^{12}\cdot 5^{7}\cdot 13^{4}$ $F_5$ (as 10T4) trivial $849.031969539$
10.2.9389905805312.1 $x^{10} - 4 x^{9} + 8 x^{8} - 12 x^{7} - 5 x^{6} - 32 x^{5} + 78 x^{4} + 38 x^{2} - 48 x + 68$ $2^{25}\cdot 23^{4}$ $F_5$ (as 10T4) trivial $1845.67477299$
10.2.9496142578125.1 $x^{10} - 5 x^{8} - 10 x^{7} + 15 x^{5} + 5 x^{4} - 30 x^{3} - 45 x^{2} - 25 x - 5$ $3^{4}\cdot 5^{11}\cdot 7^{4}$ $F_5$ (as 10T4) trivial $520.679132541$
10.2.10039762720000.1 $x^{10} - 5 x^{9} + 5 x^{8} + 10 x^{7} - 11 x^{6} - 23 x^{5} + 19 x^{4} + 22 x^{3} - 27 x^{2} + 9 x - 1$ $2^{8}\cdot 5^{4}\cdot 13^{7}$ $F_5$ (as 10T4) trivial $921.552781567$
10.2.11027981328125.1 $x^{10} + x^{8} + x^{6} + 21 x^{4} + 21 x^{2} - 20$ $5^{7}\cdot 109^{4}$ $F_5$ (as 10T4) trivial $681.222523418$
10.2.14145620000000.1 $x^{10} - 5 x^{9} + 19 x^{8} - 46 x^{7} + 89 x^{6} - 127 x^{5} + 139 x^{4} - 110 x^{3} + 55 x^{2} - 15 x - 5$ $2^{8}\cdot 5^{7}\cdot 29^{4}$ $F_5$ (as 10T4) trivial $775.280098178$
10.2.14639743828125.1 $x^{10} - x^{9} - 4 x^{8} + 23 x^{7} - 6 x^{6} - x^{5} + 54 x^{4} + 65 x^{3} - 50 x^{2} + 35 x + 5$ $3^{8}\cdot 5^{7}\cdot 13^{4}$ $F_5$ (as 10T4) trivial $801.670270505$
10.2.16200000000000.2 $x^{10} - 5 x^{8} - 5 x^{6} - 22 x^{5} + 30 x^{4} + 60 x^{3} + 60 x^{2} + 200 x + 176$ $2^{12}\cdot 3^{4}\cdot 5^{11}$ $F_5$ (as 10T4) trivial $1078.45933961$
10.2.16746787578125.1 $x^{10} - 3 x^{9} + 6 x^{8} + 11 x^{7} - 29 x^{6} - 15 x^{5} - 6 x^{4} - 55 x^{3} + 65 x^{2} + 200 x + 100$ $5^{7}\cdot 11^{8}$ $F_5$ (as 10T4) $[5]$ $176.000401853$
10.2.18470420000000.1 $x^{10} - 5 x^{9} + 9 x^{8} - 6 x^{7} - x^{6} + 3 x^{5} + 19 x^{4} - 40 x^{3} + 20 x^{2} - 80$ $2^{8}\cdot 5^{7}\cdot 31^{4}$ $F_5$ (as 10T4) trivial $1217.10510856$
10.2.19073486328125.3 $x^{10} - 5$ $5^{19}$ $F_5$ (as 10T4) trivial $654.809844136$
10.2.21634600078125.1 $x^{10} - 5 x^{9} + 9 x^{8} - 6 x^{7} - x^{6} + 3 x^{5} - 6 x^{4} + 10 x^{3} - 5 x^{2} - 5$ $3^{4}\cdot 5^{7}\cdot 43^{4}$ $F_5$ (as 10T4) trivial $1120.2581361$
10.2.23718420000000.1 $x^{10} - 4 x^{8} + 16 x^{6} - 44 x^{4} - 4 x^{2} - 20$ $2^{8}\cdot 3^{4}\cdot 5^{7}\cdot 11^{4}$ $F_5$ (as 10T4) trivial $1350.79412423$
10.2.24302560546048.1 $x^{10} - 3 x^{9} + 5 x^{8} - 8 x^{7} + 3 x^{6} - 17 x^{5} + 73 x^{4} + 26 x^{3} + 5 x^{2} + 11 x + 3$ $2^{8}\cdot 37^{7}$ $F_5$ (as 10T4) trivial $1456.25862492$
10.10.30012500000000.1 $x^{10} - 15 x^{8} + 60 x^{6} - 4 x^{5} - 60 x^{4} + 15 x^{2} - 1$ $2^{8}\cdot 5^{11}\cdot 7^{4}$ $F_5$ (as 10T4) trivial $3191.07917085$
10.2.30012500000000.1 $x^{10} - 5 x^{9} + 15 x^{8} - 30 x^{7} + 75 x^{6} - 141 x^{5} + 225 x^{4} - 240 x^{3} + 375 x^{2} - 275 x + 59$ $2^{8}\cdot 5^{11}\cdot 7^{4}$ $F_5$ (as 10T4) trivial $1292.04669584$
10.2.32057708828125.2 $x^{10} - 5 x^{9} + 11 x^{8} - 14 x^{7} + 28 x^{6} - 56 x^{5} + 51 x^{4} - 15 x^{3} + 2 x^{2} - 3 x - 1$ $5^{7}\cdot 17^{7}$ $F_5$ (as 10T4) $[2]$ $549.30468364$
10.2.34535205078125.1 $x^{10} + 5 x^{8} - 10 x^{7} + 10 x^{6} - 15 x^{5} + 5 x^{4} + 30 x^{3} - 45 x^{2} + 25 x - 5$ $5^{11}\cdot 29^{4}$ $F_5$ (as 10T4) trivial $933.696420339$
10.2.38506593828125.1 $x^{10} - 5 x^{9} - x^{8} + 34 x^{7} - 21 x^{6} - 77 x^{5} + 64 x^{4} + 50 x^{3} - 55 x^{2} + 10 x - 5$ $5^{7}\cdot 149^{4}$ $F_5$ (as 10T4) trivial $1372.52912863$
10.2.39792905551872.1 $x^{10} - 12 x^{8} + 50 x^{6} - 76 x^{4} + 81 x^{2} - 8$ $2^{25}\cdot 3^{4}\cdot 11^{4}$ $F_5$ (as 10T4) trivial $5131.9570106$
10.2.41702720000000.1 $x^{10} + 4 x^{8} - 8 x^{7} + 23 x^{6} - 8 x^{5} + 14 x^{4} - 100 x^{3} - 13 x^{2} - 4 x - 4$ $2^{12}\cdot 5^{7}\cdot 19^{4}$ $F_5$ (as 10T4) trivial $2084.04171276$
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