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Label Polynomial Discriminant Galois group Class group Regulator
10.2.82538991616.1 $x^{10} - 4 x^{9} + 12 x^{8} - 20 x^{7} + 24 x^{6} - 14 x^{5} - x^{4} + 10 x^{3} - 7 x^{2} + 1$ $2^{12}\cdot 67^{4}$ $A_{5}$ (as 10T7) trivial $49.9834969029$
10.2.98867482624.1 $x^{10} - x^{8} - 4 x^{7} - 3 x^{6} - 2 x^{5} + 8 x^{3} - 2 x - 1$ $2^{12}\cdot 17^{6}$ $A_{5}$ (as 10T7) trivial $47.3737092917$
10.2.116319195136.1 $x^{10} - 2 x^{9} - 4 x^{8} + 6 x^{7} + 5 x^{6} - 6 x^{5} - 5 x^{4} + 2 x^{3} + 4 x^{2} - 2$ $2^{12}\cdot 73^{4}$ $A_{5}$ (as 10T7) trivial $54.6640385989$
10.2.181824635281.1 $x^{10} - 4 x^{9} + 12 x^{8} - 21 x^{7} + 27 x^{6} - 20 x^{5} + 6 x^{4} + 4 x^{3} - 4 x^{2} - x + 1$ $653^{4}$ $A_{5}$ (as 10T7) trivial $47.4297920099$
10.2.461008408576.1 $x^{10} - 2 x^{9} + 2 x^{8} - 2 x^{7} + 5 x^{6} - 12 x^{5} + 11 x^{4} + 4 x^{3} - 20 x^{2} + 16 x - 4$ $2^{12}\cdot 103^{4}$ $A_{5}$ (as 10T7) trivial $159.791313024$
10.2.536902045696.1 $x^{10} - 2 x^{9} - 2 x^{8} + 4 x^{7} + x^{6} - 4 x^{5} + 3 x^{4} + 6 x^{3} - 4 x - 2$ $2^{12}\cdot 107^{4}$ $A_{5}$ (as 10T7) trivial $140.272556958$
10.2.937024000000.1 $x^{10} - 2 x^{9} + 2 x^{8} - 6 x^{7} + 7 x^{6} - 2 x^{5} + 9 x^{4} - 6 x^{3} - 4 x^{2} - 8 x - 2$ $2^{12}\cdot 5^{6}\cdot 11^{4}$ $A_{5}$ (as 10T7) trivial $232.259549425$
10.2.980347515625.1 $x^{10} - 2 x^{9} + 2 x^{8} - 8 x^{7} + 2 x^{6} + 16 x^{5} + 5 x^{4} - 14 x^{3} - 8 x^{2} + 1$ $5^{6}\cdot 89^{4}$ $A_{5}$ (as 10T7) trivial $112.121288506$
10.2.993753784384.1 $x^{10} - x^{9} + 7 x^{7} - 14 x^{6} + 13 x^{5} - 7 x^{4} - 2 x^{3} - 6 x^{2} + 10 x - 8$ $2^{6}\cdot 353^{4}$ $A_{5}$ (as 10T7) trivial $409.529388817$
10.2.1000000000000.1 $x^{10} - 5 x^{8} + 5 x^{6} - 2 x^{5} + 10 x^{4} + 10 x^{3} - 10 x^{2} + 5$ $2^{12}\cdot 5^{12}$ $A_{5}$ (as 10T7) trivial $246.712605019$
10.2.1189903543929.1 $x^{10} - x^{9} - 8 x^{7} + 2 x^{6} + 12 x^{5} + 9 x^{4} - 9 x^{3} - 12 x^{2} - 6 x - 3$ $3^{10}\cdot 67^{4}$ $A_{5}$ (as 10T7) trivial $270.995264471$
10.2.1267247769841.1 $x^{10} - 5 x^{9} + 6 x^{8} + x^{7} + 6 x^{6} - 16 x^{5} - 6 x^{4} + 11 x^{3} + 5 x^{2} - 6 x + 1$ $1061^{4}$ $A_{5}$ (as 10T7) trivial $225.680424969$
10.2.1281641353216.1 $x^{10} - 2 x^{9} + 2 x^{8} - 2 x^{7} + 7 x^{6} - 16 x^{5} + 13 x^{4} + 4 x^{3} - 20 x^{2} + 16 x - 4$ $2^{12}\cdot 7^{4}\cdot 19^{4}$ $A_{5}$ (as 10T7) trivial $262.898974069$
10.2.1654845542464.1 $x^{10} - 4 x^{9} + 7 x^{8} - 7 x^{7} - 3 x^{6} + 15 x^{5} - 14 x^{4} + 3 x^{3} + 16 x^{2} - 12 x + 4$ $2^{6}\cdot 401^{4}$ $A_{5}$ (as 10T7) trivial $638.824053416$
10.2.1790907709504.1 $x^{10} - 4 x^{9} + 5 x^{8} - 5 x^{7} - 7 x^{6} - x^{5} - 10 x^{4} - 9 x^{3} - 10 x^{2} - 8 x - 2$ $2^{6}\cdot 409^{4}$ $A_{5}$ (as 10T7) trivial $533.358586961$
10.2.2436396322816.1 $x^{10} - 2 x^{9} + 5 x^{8} + 4 x^{7} - 11 x^{6} + 8 x^{5} + 10 x^{4} - 14 x^{3} - 2 x^{2} + 4 x - 1$ $2^{12}\cdot 29^{6}$ $A_{5}$ (as 10T7) trivial $266.456597809$
10.2.3185853730816.1 $x^{10} - 4 x^{9} + 11 x^{8} - 16 x^{7} + 4 x^{6} + 34 x^{5} - 55 x^{4} + 12 x^{3} + 48 x^{2} - 56 x + 20$ $2^{12}\cdot 167^{4}$ $A_{5}$ (as 10T7) trivial $373.694111521$
10.2.3341024655409.1 $x^{10} - x^{9} - 6 x^{8} + 4 x^{7} + 13 x^{6} - 7 x^{5} - 11 x^{4} + 24 x^{3} - 7 x^{2} - 14 x - 7$ $7^{6}\cdot 73^{4}$ $A_{5}$ (as 10T7) trivial $256.67766723$
10.2.3599944611904.1 $x^{10} - 3 x^{9} + 4 x^{8} + x^{7} - 2 x^{6} - 17 x^{5} + 49 x^{4} - 68 x^{3} + 52 x^{2} - 22 x + 4$ $2^{6}\cdot 487^{4}$ $A_{5}$ (as 10T7) $[2]$ $382.476678233$
10.2.3637263079921.1 $x^{10} - 4 x^{9} + 11 x^{8} - 25 x^{7} + 46 x^{6} - 68 x^{5} + 78 x^{4} - 79 x^{3} + 44 x^{2} - 11 x + 1$ $1381^{4}$ $A_{5}$ (as 10T7) trivial $556.472933242$
10.2.4020249563136.1 $x^{10} - 2 x^{9} + 5 x^{8} - 14 x^{7} + 22 x^{6} - 20 x^{5} + 9 x^{4} - 12 x^{3} + 8 x^{2} - 12$ $2^{12}\cdot 3^{4}\cdot 59^{4}$ $A_{5}$ (as 10T7) trivial $856.654903927$
10.2.5157663560401.1 $x^{10} - x^{9} - 3 x^{8} - 6 x^{7} + 28 x^{6} - 45 x^{5} + 36 x^{4} - 11 x^{3} - 2 x^{2} - 1$ $11^{4}\cdot 137^{4}$ $A_{5}$ (as 10T7) $[2]$ $240.825052467$
10.2.5451216326656.1 $x^{10} - 2 x^{9} + 5 x^{8} - 6 x^{7} + 6 x^{6} + 4 x^{5} + x^{4} - 20 x^{3} + 32 x^{2} - 16 x - 4$ $2^{12}\cdot 191^{4}$ $A_{5}$ (as 10T7) trivial $569.151096523$
10.2.5609891727441.1 $x^{10} - 5 x^{9} + 9 x^{8} - x^{7} - 19 x^{6} + 36 x^{5} - 27 x^{4} - 9 x^{3} + 45 x^{2} - 48 x + 15$ $3^{16}\cdot 19^{4}$ $A_{5}$ (as 10T7) trivial $668.266610271$
10.2.5683150852096.1 $x^{10} - 2 x^{9} + 2 x^{8} - 2 x^{7} - 13 x^{6} + 24 x^{5} - 7 x^{4} + 4 x^{3} - 20 x^{2} + 16 x - 4$ $2^{12}\cdot 193^{4}$ $A_{5}$ (as 10T7) trivial $671.500179907$
10.2.5816822652481.1 $x^{10} - 4 x^{9} + 3 x^{8} - 18 x^{5} + 43 x^{4} - 52 x^{3} + 37 x^{2} - 14 x + 1$ $1553^{4}$ $A_{5}$ (as 10T7) trivial $288.916089102$
10.2.6056614518361.1 $x^{10} - 3 x^{9} - 2 x^{8} + 17 x^{7} - 17 x^{6} - 17 x^{5} + 41 x^{4} - 33 x^{3} + 16 x^{2} - 5 x + 1$ $11^{6}\cdot 43^{4}$ $A_{5}$ (as 10T7) $[2]$ $173.366814889$
10.2.6907897810944.1 $x^{10} - 2 x^{9} - 3 x^{8} + 6 x^{7} - 3 x^{6} - 30 x^{5} - 24 x^{4} + 12 x^{3} + 6 x^{2} - 10 x - 7$ $2^{12}\cdot 3^{10}\cdot 13^{4}$ $A_{5}$ (as 10T7) trivial $1330.17145179$
10.2.6972900390625.1 $x^{10} + 5 x^{8} - 10 x^{7} + 15 x^{6} - 13 x^{5} - 5 x^{4} - 40 x^{2} - 5 x - 23$ $5^{12}\cdot 13^{4}$ $A_{5}$ (as 10T7) trivial $526.415711692$
10.2.7093870018624.1 $x^{10} - 2 x^{9} - x^{8} - 7 x^{7} + 23 x^{6} - 35 x^{5} + 20 x^{4} - 7 x^{3} + 4 x^{2} - 8 x + 4$ $2^{6}\cdot 577^{4}$ $A_{5}$ (as 10T7) trivial $1308.22510821$
10.2.7233948160000.1 $x^{10} - 2 x^{9} + 5 x^{8} + 2 x^{7} - 10 x^{6} + 28 x^{5} - 7 x^{4} - 28 x^{3} + 56 x^{2} - 32 x + 4$ $2^{12}\cdot 5^{4}\cdot 41^{4}$ $A_{5}$ (as 10T7) trivial $926.53179379$
10.2.8118761230336.1 $x^{10} + 4 x^{8} - 6 x^{7} + 14 x^{6} - 12 x^{5} + 19 x^{4} - 30 x^{3} + 15 x^{2} - 1$ $2^{12}\cdot 211^{4}$ $A_{5}$ (as 10T7) trivial $721.814478192$
10.2.8123212515625.1 $x^{10} - 3 x^{9} + 2 x^{8} - 5 x^{7} + 23 x^{6} - 19 x^{5} - 45 x^{4} + 109 x^{3} - 104 x^{2} + 67 x - 25$ $5^{6}\cdot 151^{4}$ $A_{5}$ (as 10T7) $[2]$ $269.012095622$
10.2.8430985875456.1 $x^{10} - 2 x^{9} + 10 x^{7} + 2 x^{6} + 14 x^{5} + 31 x^{4} + 12 x^{3} - 5 x^{2} - 6 x - 3$ $2^{12}\cdot 3^{4}\cdot 71^{4}$ $A_{5}$ (as 10T7) trivial $1227.07644947$
10.2.8741371209561.2 $x^{10} - 2 x^{9} - 3 x^{7} + 3 x^{6} + 6 x^{5} + 6 x^{4} - 12 x^{3} - 9 x + 9$ $3^{10}\cdot 23^{6}$ $A_{5}$ (as 10T7) $[2]$ $398.833745287$
10.2.9019744817521.1 $x^{10} - 2 x^{9} - 2 x^{8} + 10 x^{7} + x^{6} - 32 x^{5} + 47 x^{4} - 30 x^{3} + 13 x^{2} - 6 x + 1$ $1733^{4}$ $A_{5}$ (as 10T7) trivial $289.545095182$
10.2.9493331265625.1 $x^{10} - 3 x^{9} + 8 x^{8} - 9 x^{7} + 4 x^{6} + 2 x^{5} + 8 x^{4} - 36 x^{3} + 10 x^{2} + 25 x - 65$ $5^{6}\cdot 157^{4}$ $A_{5}$ (as 10T7) trivial $454.573868293$
10.2.9770775678976.1 $x^{10} - 4 x^{9} + 12 x^{8} - 30 x^{7} + 54 x^{6} - 74 x^{5} + 69 x^{4} - 50 x^{3} + 23 x^{2} - 10 x + 1$ $2^{12}\cdot 13^{4}\cdot 17^{4}$ $A_{5}$ (as 10T7) trivial $680.507970058$
10.2.13444190223424.1 $x^{10} - x^{9} + 2 x^{8} - 7 x^{7} - x^{6} + 8 x^{5} - 5 x^{4} + 51 x^{3} - 34 x^{2} + 17 x + 1$ $2^{6}\cdot 677^{4}$ $A_{5}$ (as 10T7) trivial $1547.38580058$
10.2.13852725705625.1 $x^{10} - 3 x^{9} + 6 x^{8} - 11 x^{7} + 14 x^{6} - 8 x^{5} - 6 x^{4} - 5 x^{3} + 35 x^{2} - 50 x + 25$ $5^{4}\cdot 53^{6}$ $A_{5}$ (as 10T7) trivial $1073.15941497$
10.2.16948379819281.1 $x^{10} - 3 x^{9} + x^{8} + x^{7} + 6 x^{6} + 2 x^{5} - 20 x^{4} + 35 x^{3} - 13 x^{2} + 37 x - 31$ $2029^{4}$ $A_{5}$ (as 10T7) trivial $1039.92671841$
10.2.17072043939889.1 $x^{10} - 3 x^{9} + 8 x^{8} + 7 x^{7} - 17 x^{6} + 55 x^{5} + 23 x^{4} - 5 x^{3} + 88 x^{2} + 11 x + 1$ $17^{6}\cdot 29^{4}$ $A_{5}$ (as 10T7) trivial $720.967109918$
10.2.17295018577984.1 $x^{10} - 2 x^{9} + 11 x^{7} - 6 x^{6} - 8 x^{5} + 9 x^{4} + 12 x^{3} - 22 x^{2} + 11 x - 2$ $2^{6}\cdot 7^{4}\cdot 103^{4}$ $A_{5}$ (as 10T7) trivial $2161.18917036$
10.2.17422409568256.1 $x^{10} - 2 x^{9} - x^{8} + 14 x^{7} - 18 x^{6} - 12 x^{5} + 53 x^{4} - 42 x^{3} - 22 x^{2} + 44 x - 22$ $2^{12}\cdot 7^{4}\cdot 11^{6}$ $A_{5}$ (as 10T7) trivial $1164.14310314$
10.2.17764614906481.1 $x^{10} - 3 x^{9} + 10 x^{8} - 20 x^{7} + 13 x^{6} + 15 x^{5} + 5 x^{4} - 36 x^{3} + 23 x^{2} - 6 x + 1$ $2053^{4}$ $A_{5}$ (as 10T7) trivial $785.421946428$
10.2.18825957754321.1 $x^{10} - 4 x^{9} + 12 x^{8} - 23 x^{7} + 33 x^{6} - 32 x^{5} + 20 x^{4} - 8 x^{3} + 2 x^{2} - 3 x + 1$ $2083^{4}$ $A_{5}$ (as 10T7) $[2]$ $160.73086375$
10.2.20199631360000.1 $x^{10} - 2 x^{9} - 7 x^{8} + 12 x^{7} + 32 x^{6} - 50 x^{5} - 57 x^{4} + 84 x^{3} + 72 x^{2} - 136 x + 52$ $2^{12}\cdot 5^{4}\cdot 53^{4}$ $A_{5}$ (as 10T7) trivial $1319.67955258$
10.2.20200781942784.1 $x^{10} - 2 x^{9} + 3 x^{8} + 4 x^{7} - 23 x^{6} + 42 x^{5} - 78 x^{4} + 114 x^{3} - 114 x^{2} + 102 x - 51$ $2^{12}\cdot 3^{10}\cdot 17^{4}$ $A_{5}$ (as 10T7) trivial $2402.27327556$
10.2.20358216192064.1 $x^{10} - x^{9} + 4 x^{8} - 9 x^{7} + 5 x^{6} - 10 x^{5} - 11 x^{4} + 13 x^{3} + 22 x^{2} + 9 x + 1$ $2^{6}\cdot 751^{4}$ $A_{5}$ (as 10T7) $[2]$ $1401.588027$
10.2.21276669176896.1 $x^{10} + 8 x^{8} - 5 x^{7} + 22 x^{6} - 32 x^{5} + 33 x^{4} - 62 x^{3} + 42 x^{2} - 49 x + 14$ $2^{6}\cdot 7^{6}\cdot 41^{4}$ $A_{5}$ (as 10T7) trivial $2480.89491059$
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