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Label Polynomial Discriminant Galois group Class group Regulator
10.2.113395848049.1 $x^{10} - 2 x^{9} - 6 x^{7} - x^{6} - 7 x^{5} - x^{4} - 6 x^{3} - 2 x + 1$ $11^{8}\cdot 23^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $27.6988826414$
10.6.113395848049.1 $x^{10} - x^{9} - 3 x^{8} + x^{6} + 7 x^{5} - 2 x^{4} - 11 x^{3} + 2 x^{2} + 6 x + 1$ $11^{8}\cdot 23^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $55.4268439482$
10.2.219503494144.1 $x^{10} + 2 x^{8} - 5 x^{6} - 13 x^{4} - 7 x^{2} - 1$ $2^{10}\cdot 11^{8}$ $C_2^4 : C_5$ (as 10T8) trivial $38.3882855399$
10.6.219503494144.1 $x^{10} - x^{8} - 4 x^{6} + 3 x^{4} + 3 x^{2} - 1$ $2^{10}\cdot 11^{8}$ $C_2^4 : C_5$ (as 10T8) trivial $81.0843031686$
10.6.219503494144.2 $x^{10} - 4 x^{8} + 2 x^{6} + 5 x^{4} - 2 x^{2} - 1$ $2^{10}\cdot 11^{8}$ $C_2^4 : C_5$ (as 10T8) trivial $78.1496835761$
10.2.396349570969.1 $x^{10} - 3 x^{9} + 5 x^{8} - 13 x^{7} + 21 x^{6} - 18 x^{5} + 27 x^{4} - 17 x^{3} - 9 x^{2} + 6 x - 23$ $11^{8}\cdot 43^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $53.422135481$
10.6.396349570969.1 $x^{10} - 4 x^{9} + x^{8} + 6 x^{7} - 5 x^{6} + x^{4} + 2 x^{3} + 8 x^{2} + 2 x - 1$ $11^{8}\cdot 43^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $113.224264243$
10.2.962257016809.1 $x^{10} - 4 x^{9} + 13 x^{8} - 17 x^{7} + 20 x^{6} - x^{5} - 22 x^{4} + 55 x^{3} - 55 x^{2} + 44 x - 11$ $11^{8}\cdot 67^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $83.6882868788$
10.6.962257016809.1 $x^{10} - 2 x^{9} - x^{8} - 17 x^{6} + 4 x^{5} - 18 x^{4} + 17 x^{2} - 8 x + 1$ $11^{8}\cdot 67^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $171.231609767$
10.6.1697936696401.1 $x^{10} - 4 x^{9} + 7 x^{8} - 11 x^{7} + 3 x^{6} + 18 x^{5} - 41 x^{4} + 33 x^{3} + 51 x^{2} - 15 x + 1$ $11^{8}\cdot 89^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $230.16239433$
10.6.1697936696401.2 $x^{10} - x^{9} + 2 x^{7} - 9 x^{6} + 7 x^{5} - 27 x^{4} - 26 x^{3} + 77 x^{2} + 18 x + 1$ $11^{8}\cdot 89^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $251.586920452$
10.2.2546797865161.1 $x^{10} - 4 x^{9} + 11 x^{8} - 26 x^{7} + 39 x^{6} - 70 x^{5} + 57 x^{4} - 86 x^{3} + 44 x^{2} - 34 x + 1$ $11^{8}\cdot 109^{2}$ $C_2^4 : C_5$ (as 10T8) $[2]$ $58.4103669396$
10.6.2546797865161.1 $x^{10} - 4 x^{9} - 4 x^{8} + 33 x^{7} - 30 x^{6} - 15 x^{5} - 8 x^{4} + 44 x^{3} + 40 x^{2} - 48 x - 32$ $11^{8}\cdot 109^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $307.550707677$
10.2.3678612756841.1 $x^{10} - 3 x^{9} + 8 x^{8} - 18 x^{7} + 34 x^{6} - 78 x^{5} + 99 x^{4} - 143 x^{3} + 88 x^{2} - 88 x + 11$ $11^{8}\cdot 131^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $129.686814492$
10.6.3678612756841.1 $x^{10} - 4 x^{9} + 4 x^{8} - 8 x^{7} + 13 x^{6} + 37 x^{5} - 63 x^{4} + 48 x^{3} - 102 x^{2} + 32 x - 1$ $11^{8}\cdot 131^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $371.470319069$
10.2.7476806640625.1 $x^{10} - 10 x^{7} - 5 x^{6} + 19 x^{5} + 25 x^{4} - 20 x^{3} - 10 x - 7$ $5^{16}\cdot 7^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $541.927062633$
10.6.7476806640625.1 $x^{10} - 10 x^{8} - 5 x^{7} + 30 x^{6} + 33 x^{5} - 45 x^{4} - 50 x^{3} + 25 x^{2} + 25 x - 5$ $5^{16}\cdot 7^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $919.208318373$
10.2.8319053812729.1 $x^{10} - 4 x^{9} + 11 x^{8} - 15 x^{7} - 5 x^{6} + 84 x^{5} - 229 x^{4} + 409 x^{3} - 517 x^{2} + 439 x - 197$ $11^{8}\cdot 197^{2}$ $C_2^4 : C_5$ (as 10T8) $[2]$ $96.6161267365$
10.6.8319053812729.1 $x^{10} - 2 x^{9} - 8 x^{8} + 31 x^{7} - 12 x^{6} - 99 x^{5} + 181 x^{4} - 94 x^{3} - 133 x^{2} + 235 x - 89$ $11^{8}\cdot 197^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $579.524925271$
10.2.8488826046481.1 $x^{10} - 3 x^{9} + 6 x^{8} - 11 x^{7} + 4 x^{6} - 26 x^{5} + 16 x^{4} - 44 x^{3} + 10 x^{2} - 9 x - 197$ $11^{8}\cdot 199^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $190.371597256$
10.6.8488826046481.1 $x^{10} - x^{9} - 2 x^{8} - 14 x^{7} + 2 x^{6} + 44 x^{5} + 47 x^{4} + 7 x^{3} - 70 x^{2} - 80 x - 23$ $11^{8}\cdot 199^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $573.734685812$
10.6.21322275936025.1 $x^{10} - 3 x^{9} - 7 x^{8} + 27 x^{7} + 16 x^{6} - 89 x^{5} - 55 x^{4} + 84 x^{3} + 105 x^{2} + 41 x + 5$ $5^{2}\cdot 31^{8}$ $C_2^4 : C_5$ (as 10T8) trivial $2123.26276689$
10.2.21322275936025.1 $x^{10} - 4 x^{9} + 7 x^{8} - 12 x^{7} + 35 x^{6} - 22 x^{5} - 2 x^{4} + 28 x^{3} + 3 x^{2} - 8 x - 1$ $5^{2}\cdot 31^{8}$ $C_2^4 : C_5$ (as 10T8) $[2]$ $364.821339893$
10.6.59986403617921.1 $x^{10} - 2 x^{9} - 17 x^{7} - x^{6} + 4 x^{5} + 164 x^{4} + 280 x^{3} - 198 x^{2} - 497 x - 197$ $11^{8}\cdot 23^{4}$ $C_2^4 : C_5$ (as 10T8) trivial $1521.51001967$
10.2.71864327062089.1 $x^{10} - 4 x^{9} + x^{8} + 22 x^{7} - 29 x^{6} - 26 x^{5} + 51 x^{4} - 28 x^{3} + 30 x^{2} - 18 x - 27$ $3^{2}\cdot 41^{8}$ $C_2^4 : C_5$ (as 10T8) trivial $5502.29533677$
10.6.71864327062089.1 $x^{10} + 10 x^{8} - x^{6} - 43 x^{4} + 39 x^{2} - 9$ $3^{2}\cdot 41^{8}$ $C_2^4 : C_5$ (as 10T8) trivial $6466.81512489$
10.10.116117348402176.1 $x^{10} - 20 x^{8} + 149 x^{6} - 519 x^{4} + 851 x^{2} - 529$ $2^{10}\cdot 11^{8}\cdot 23^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $4721.9254566$
10.2.116117348402176.1 $x^{10} + 8 x^{8} - 14 x^{6} - 271 x^{4} - 736 x^{2} - 529$ $2^{10}\cdot 11^{8}\cdot 23^{2}$ $C_2^4 : C_5$ (as 10T8) $[2, 2]$ $223.856665735$
10.6.116117348402176.1 $x^{10} - 12 x^{8} + 18 x^{6} + 135 x^{4} - 184 x^{2} - 529$ $2^{10}\cdot 11^{8}\cdot 23^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $1859.7014234$
10.2.116117348402176.2 $x^{10} + 13 x^{8} + 6 x^{6} - 233 x^{4} - 667 x^{2} - 529$ $2^{10}\cdot 11^{8}\cdot 23^{2}$ $C_2^4 : C_5$ (as 10T8) $[2]$ $364.529968632$
10.10.116117348402176.2 $x^{10} - 25 x^{8} + 206 x^{6} - 711 x^{4} + 1035 x^{2} - 529$ $2^{10}\cdot 11^{8}\cdot 23^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $4971.42908238$
10.6.116117348402176.2 $x^{10} - 3 x^{8} - 47 x^{6} + 103 x^{4} + 276 x^{2} - 529$ $2^{10}\cdot 11^{8}\cdot 23^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $2173.96138024$
10.6.116117348402176.3 $x^{10} - 9 x^{8} - 38 x^{6} + 163 x^{4} + 345 x^{2} - 529$ $2^{10}\cdot 11^{8}\cdot 23^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $2181.22959551$
10.2.116117348402176.3 $x^{10} + 17 x^{8} + 87 x^{6} + 78 x^{4} - 391 x^{2} - 529$ $2^{10}\cdot 11^{8}\cdot 23^{2}$ $C_2^4 : C_5$ (as 10T8) $[2]$ $402.976904253$
10.2.116117348402176.4 $x^{10} + 10 x^{8} - 15 x^{6} - 371 x^{4} - 943 x^{2} - 529$ $2^{10}\cdot 11^{8}\cdot 23^{2}$ $C_2^4 : C_5$ (as 10T8) $[2]$ $483.3854069130513$
10.6.116117348402176.4 $x^{10} + 7 x^{8} - 75 x^{6} + 27 x^{4} + 460 x^{2} - 529$ $2^{10}\cdot 11^{8}\cdot 23^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $2016.411549$
10.6.116117348402176.5 $x^{10} + 2 x^{8} - 71 x^{6} + 42 x^{4} + 598 x^{2} - 529$ $2^{10}\cdot 11^{8}\cdot 23^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $2065.75121006$
10.2.116117348402176.5 $x^{10} + 18 x^{8} + 112 x^{6} + 247 x^{4} - 46 x^{2} - 529$ $2^{10}\cdot 11^{8}\cdot 23^{2}$ $C_2^4 : C_5$ (as 10T8) $[2]$ $384.78250141810827$
10.6.116117348402176.6 $x^{10} - 15 x^{8} + 2 x^{6} + 401 x^{4} + 207 x^{2} - 529$ $2^{10}\cdot 11^{8}\cdot 23^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $2123.752218085058$
10.2.156250000000000.1 $x^{10} + 5 x^{8} - 5 x^{6} - 25 x^{4} - 10 x^{2} - 1$ $2^{10}\cdot 5^{16}$ $C_2^4 : C_5$ (as 10T8) trivial $2591.65609455$
10.6.156250000000000.1 $x^{10} - 10 x^{6} - 5 x^{4} + 10 x^{2} - 1$ $2^{10}\cdot 5^{16}$ $C_2^4 : C_5$ (as 10T8) trivial $5629.51246626$
10.6.156250000000000.2 $x^{10} - 5 x^{8} - 15 x^{6} + 15 x^{4} + 30 x^{2} - 1$ $2^{10}\cdot 5^{16}$ $C_2^4 : C_5$ (as 10T8) trivial $3544.3043087$
10.10.209668923042601.1 $x^{10} - 4 x^{9} - 20 x^{8} + 71 x^{7} + 174 x^{6} - 419 x^{5} - 792 x^{4} + 792 x^{3} + 1496 x^{2} - 352$ $11^{8}\cdot 23^{2}\cdot 43^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $6375.64368887$
10.6.366363525390625.1 $x^{10} - 5 x^{9} - 5 x^{8} + 30 x^{7} - 5 x^{6} - 25 x^{5} + 50 x^{4} + 5 x^{3} - 160 x^{2} + 20 x + 101$ $5^{16}\cdot 7^{4}$ $C_2^4 : C_5$ (as 10T8) trivial $7219.16118984$
10.10.405861960672256.1 $x^{10} - 25 x^{8} + 239 x^{6} - 1085 x^{4} + 2322 x^{2} - 1849$ $2^{10}\cdot 11^{8}\cdot 43^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $9522.76682744$
10.10.405861960672256.2 $x^{10} - 27 x^{8} + 274 x^{6} - 1275 x^{4} + 2623 x^{2} - 1849$ $2^{10}\cdot 11^{8}\cdot 43^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $8636.4700473$
10.10.451311402416281.1 $x^{10} - 3 x^{9} - 27 x^{8} + 88 x^{7} + 191 x^{6} - 697 x^{5} - 468 x^{4} + 2013 x^{3} + 417 x^{2} - 1791 x - 461$ $11^{8}\cdot 1451^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $8701.94974173$
10.10.451311402416281.2 $x^{10} - 3 x^{9} - 29 x^{8} + 84 x^{7} + 283 x^{6} - 759 x^{5} - 1102 x^{4} + 2461 x^{3} + 1564 x^{2} - 2278 x + 197$ $11^{8}\cdot 1451^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $10277.6537261$
10.10.509033961891961.1 $x^{10} - 3 x^{9} - 27 x^{8} + 77 x^{7} + 246 x^{6} - 631 x^{5} - 886 x^{4} + 1716 x^{3} + 1352 x^{2} - 1120 x - 736$ $11^{8}\cdot 23^{2}\cdot 67^{2}$ $C_2^4 : C_5$ (as 10T8) trivial $10543.9980573$
10.6.533056898400625.1 $x^{10} - 4 x^{9} - 7 x^{8} + 8 x^{7} + 43 x^{6} + 131 x^{5} + 41 x^{4} + 40 x^{3} - 148 x^{2} + 55 x - 5$ $5^{4}\cdot 31^{8}$ $C_2^4 : C_5$ (as 10T8) trivial $8626.12964854$
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