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Label Polynomial Discriminant Galois group Class group Regulator
10.0.14710386688.1 $x^{10} - 4 x^{9} + 7 x^{8} - 2 x^{7} - 7 x^{6} + 8 x^{5} + 5 x^{4} - 6 x^{3} + 4 x + 2$ $-\,2^{12}\cdot 17^{4}\cdot 43$ $C_2 \wr A_5$ (as 10T36) trivial $22.3338739775$
10.0.15052488704.1 $x^{10} - x^{9} + x^{8} - 2 x^{7} + 4 x^{6} - 4 x^{5} + 4 x^{4} - 2 x^{3} + x^{2} - x + 1$ $-\,2^{14}\cdot 11\cdot 17^{4}$ $C_2 \wr A_5$ (as 10T36) trivial $14.3258466671$
10.2.15052488704.1 $x^{10} - 4 x^{9} + 11 x^{8} - 22 x^{7} + 31 x^{6} - 38 x^{5} + 31 x^{4} - 22 x^{3} + 11 x^{2} - 4 x + 1$ $2^{14}\cdot 11\cdot 17^{4}$ $C_2 \wr A_5$ (as 10T36) trivial $18.3433070598$
10.0.20279160832.1 $x^{10} + 3 x^{8} - 2 x^{7} + 7 x^{6} - 2 x^{5} + 7 x^{4} - 2 x^{3} + 3 x^{2} + 1$ $-\,2^{12}\cdot 7\cdot 29^{4}$ $C_2 \wr A_5$ (as 10T36) trivial $28.5130204483$
10.2.20868222976.1 $x^{10} - 3 x^{8} - 4 x^{7} + x^{6} + 4 x^{5} - x^{4} - 4 x^{3} + 3 x^{2} - 1$ $2^{12}\cdot 17^{4}\cdot 61$ $C_2 \wr A_5$ (as 10T36) trivial $15.2264903048$
10.0.22920835072.1 $x^{10} - x^{9} - x^{8} + 2 x^{7} + 7 x^{6} + 3 x^{5} + 9 x^{4} + 8 x^{3} + 9 x^{2} + 3 x + 1$ $-\,2^{12}\cdot 17^{4}\cdot 67$ $C_2 \wr A_5$ (as 10T36) trivial $12.3064864234$
10.0.24289243136.1 $x^{10} - x^{9} + 4 x^{8} + 2 x^{7} + 2 x^{6} + 2 x^{5} + 2 x^{4} - 2 x^{3} + x^{2} + 3 x + 2$ $-\,2^{12}\cdot 17^{4}\cdot 71$ $C_2 \wr A_5$ (as 10T36) trivial $31.2555800972$
10.0.30104977408.1 $x^{10} - 2 x^{9} + 3 x^{8} - 6 x^{7} + 9 x^{6} - 14 x^{5} + 19 x^{4} - 16 x^{3} + 11 x^{2} - 4 x + 1$ $-\,2^{15}\cdot 11\cdot 17^{4}$ $C_2 \wr A_5$ (as 10T36) trivial $21.7000083086$
10.2.31212625617.1 $x^{10} - x^{9} - 2 x^{7} + 2 x^{6} - 6 x^{4} + 3 x^{3} - 6 x^{2} + x - 1$ $3^{8}\cdot 17\cdot 23^{4}$ $C_2 \wr A_5$ (as 10T36) trivial $16.1838264121$
10.2.34552303616.1 $x^{10} - x^{9} - x^{8} + 3 x^{6} + x^{5} - 3 x^{4} + x^{2} - x - 1$ $2^{12}\cdot 17^{4}\cdot 101$ $C_2 \wr A_5$ (as 10T36) trivial $20.9519881698$
10.0.36604915712.1 $x^{10} - x^{9} + 5 x^{8} - 8 x^{7} + 14 x^{6} - 12 x^{5} + 6 x^{4} - 3 x^{2} + x + 1$ $-\,2^{12}\cdot 17^{4}\cdot 107$ $C_2 \wr A_5$ (as 10T36) trivial $16.6048941943$
10.0.39452405000.1 $x^{10} - 3 x^{9} + 6 x^{8} - 11 x^{7} + 12 x^{6} - 9 x^{5} + 9 x^{4} - 6 x^{3} + 4 x^{2} - x + 2$ $-\,2^{3}\cdot 5^{4}\cdot 53^{4}$ $C_2 \wr A_5$ (as 10T36) trivial $58.6949120232$
10.0.43446956032.1 $x^{10} - x^{9} + 2 x^{7} - 6 x^{6} + 6 x^{5} + 6 x^{4} - 2 x^{3} + 9 x^{2} - x + 2$ $-\,2^{12}\cdot 17^{4}\cdot 127$ $C_2 \wr A_5$ (as 10T36) trivial $43.7498360518$
10.0.43789058048.1 $x^{10} + 6 x^{8} + 14 x^{6} + 16 x^{4} + 5 x^{2} + 2$ $-\,2^{19}\cdot 17^{4}$ $C_2 \wr A_5$ (as 10T36) trivial $36.5349710862$
10.2.43789058048.1 $x^{10} - 6 x^{8} + 14 x^{6} - 16 x^{4} + 5 x^{2} - 2$ $2^{19}\cdot 17^{4}$ $C_2 \wr A_5$ (as 10T36) trivial $50.0430452308$
10.0.46525874176.1 $x^{10} - 4 x^{9} + 8 x^{8} - 8 x^{7} + 11 x^{6} - 8 x^{5} + 8 x^{4} - 4 x^{3} + 5 x^{2} + 2$ $-\,2^{15}\cdot 17^{5}$ $C_2 \wr A_5$ (as 10T36) trivial $26.1428329946$
10.0.56917140831.1 $x^{10} - x^{9} + 2 x^{8} - 9 x^{7} + 11 x^{6} - 11 x^{5} + 21 x^{4} - 23 x^{3} + 14 x^{2} - 5 x + 1$ $-\,3^{8}\cdot 23^{4}\cdot 31$ $C_2 \wr A_5$ (as 10T36) trivial $15.5010676441$
10.0.60209954816.1 $x^{10} - 3 x^{9} + 8 x^{8} - 10 x^{7} + 18 x^{6} - 18 x^{5} + 26 x^{4} - 18 x^{3} + 15 x^{2} - 5 x + 2$ $-\,2^{16}\cdot 11\cdot 17^{4}$ $C_2 \wr A_5$ (as 10T36) trivial $73.7315219646$
10.2.66025689088.1 $x^{10} - x^{9} - 2 x^{8} - 6 x^{7} - x^{6} + 5 x^{5} + 4 x^{4} - 2 x^{3} - 3 x^{2} + x + 2$ $2^{12}\cdot 17^{4}\cdot 193$ $C_2 \wr A_5$ (as 10T36) trivial $71.2443981859$
10.0.68078301184.1 $x^{10} - 3 x^{9} + 2 x^{8} + 2 x^{7} - 5 x^{6} + 7 x^{5} - 6 x^{4} - 2 x^{3} + 9 x^{2} - 7 x + 4$ $-\,2^{12}\cdot 17^{4}\cdot 199$ $C_2 \wr A_5$ (as 10T36) trivial $53.9153878598$
10.0.71605435239.1 $x^{10} - 6 x^{7} - 3 x^{6} - 3 x^{5} + 11 x^{4} + 18 x^{3} + 18 x^{2} + 12 x + 3$ $-\,3^{9}\cdot 13\cdot 23^{4}$ $C_2 \wr A_5$ (as 10T36) trivial $39.8259128201$
10.0.77657157632.1 $x^{10} - 4 x^{9} + 6 x^{8} - 4 x^{7} + 9 x^{6} - 26 x^{5} + 26 x^{4} + 2 x^{3} - 15 x^{2} + 2 x + 4$ $-\,2^{12}\cdot 17^{4}\cdot 227$ $C_2 \wr A_5$ (as 10T36) trivial $23.1900492976$
10.0.77657157632.2 $x^{10} - x^{9} - 3 x^{8} + 2 x^{7} + 3 x^{6} + x^{5} - 5 x^{4} - 4 x^{3} + 12 x^{2} + 12 x + 4$ $-\,2^{12}\cdot 17^{4}\cdot 227$ $C_2 \wr A_5$ (as 10T36) trivial $62.1293224706$
10.0.81762381824.1 $x^{10} - x^{9} - 6 x^{8} + 6 x^{7} + 15 x^{6} - 19 x^{5} - 6 x^{4} + 18 x^{3} - 2 x^{2} - 6 x + 4$ $-\,2^{12}\cdot 17^{4}\cdot 239$ $C_2 \wr A_5$ (as 10T36) trivial $145.032218551$
10.0.83472891904.1 $x^{10} - 2 x^{9} + x^{8} - 6 x^{7} + 11 x^{6} + 10 x^{5} - 15 x^{4} - 10 x^{3} + 8 x^{2} + 8 x + 2$ $-\,2^{14}\cdot 17^{4}\cdot 61$ $C_2 \wr A_5$ (as 10T36) trivial $91.2165413138$
10.2.83472891904.1 $x^{10} - x^{9} - 5 x^{8} + 4 x^{7} + 6 x^{6} - 10 x^{5} - 6 x^{4} + 4 x^{3} + 5 x^{2} - x - 1$ $2^{14}\cdot 17^{4}\cdot 61$ $C_2 \wr A_5$ (as 10T36) trivial $50.1389293367$
10.0.84841299968.1 $x^{10} - 4 x^{9} + 10 x^{8} - 22 x^{7} + 37 x^{6} - 50 x^{5} + 58 x^{4} - 50 x^{3} + 31 x^{2} - 12 x + 2$ $-\,2^{15}\cdot 17^{4}\cdot 31$ $C_2 \wr A_5$ (as 10T36) trivial $31.0915766315$
10.2.84841299968.1 $x^{10} - 2 x^{9} + 3 x^{8} - 2 x^{7} + x^{6} - 2 x^{5} - 3 x^{4} - 2 x^{3} + 4 x - 2$ $2^{15}\cdot 17^{4}\cdot 31$ $C_2 \wr A_5$ (as 10T36) trivial $117.845047386$
10.0.87578116096.1 $x^{10} - 3 x^{8} + 4 x^{6} + 8 x^{4} - 3 x^{2} + 1$ $-\,2^{20}\cdot 17^{4}$ $C_2 \wr A_5$ (as 10T36) trivial $41.0465354558$
10.0.87578116096.2 $x^{10} + x^{8} + 4 x^{6} + 4 x^{4} + 5 x^{2} + 1$ $-\,2^{20}\cdot 17^{4}$ $C_2 \wr A_5$ (as 10T36) trivial $93.7957088267$
10.0.87578116096.3 $x^{10} + 2 x^{6} + 4 x^{4} - 3 x^{2} + 4$ $-\,2^{20}\cdot 17^{4}$ $C_2 \wr A_5$ (as 10T36) trivial $52.6963416147$
10.2.93051748352.1 $x^{10} - 3 x^{9} + 5 x^{8} - 6 x^{7} + 10 x^{5} - 10 x^{4} + 6 x^{2} - 2 x - 2$ $2^{16}\cdot 17^{5}$ $C_2 \wr A_5$ (as 10T36) trivial $50.0203636053$
10.0.93637876851.1 $x^{10} - x^{9} + 6 x^{8} - 8 x^{7} + 8 x^{6} - 3 x^{5} + 8 x^{4} - 8 x^{3} + 6 x^{2} - x + 1$ $-\,3^{9}\cdot 17\cdot 23^{4}$ $C_2 \wr A_5$ (as 10T36) $[2]$ $23.0954688115$
10.0.99893788672.1 $x^{10} - 4 x^{9} + 11 x^{8} - 20 x^{7} + 25 x^{6} - 24 x^{5} + 25 x^{4} - 20 x^{3} + 11 x^{2} - 4 x + 1$ $-\,2^{14}\cdot 17^{4}\cdot 73$ $C_2 \wr A_5$ (as 10T36) trivial $42.4910855158$
10.2.99893788672.1 $x^{10} - x^{9} - 4 x^{8} + 4 x^{7} + 4 x^{6} - 4 x^{5} - 4 x^{4} - 4 x^{3} - 2 x^{2} - 2 x - 4$ $2^{14}\cdot 17^{4}\cdot 73$ $C_2 \wr A_5$ (as 10T36) trivial $129.50489375$
10.0.101262196736.1 $x^{10} - 2 x^{9} + 5 x^{8} - 4 x^{7} - x^{6} + 14 x^{5} - 9 x^{4} + 12 x^{2} - 8 x + 8$ $-\,2^{15}\cdot 17^{4}\cdot 37$ $C_2 \wr A_5$ (as 10T36) trivial $101.890909358$
10.2.107189850112.1 $x^{10} - 3 x^{9} + x^{8} + 10 x^{7} - 17 x^{6} + 3 x^{5} + 17 x^{4} - 12 x^{3} - 4 x^{2} + 6 x + 2$ $2^{12}\cdot 29^{4}\cdot 37$ $C_2 \wr A_5$ (as 10T36) trivial $97.5982321403$
10.0.112027271168.1 $x^{10} + 2 x^{8} + 8 x^{4} - 12 x^{2} + 8$ $-\,2^{15}\cdot 43^{4}$ $C_2 \wr A_5$ (as 10T36) trivial $54.920062935$
10.2.112209461248.1 $x^{10} + 4 x^{8} - 8 x^{7} + 11 x^{6} - 20 x^{5} + 28 x^{4} - 36 x^{3} + 29 x^{2} - 12 x + 2$ $2^{15}\cdot 17^{4}\cdot 41$ $C_2 \wr A_5$ (as 10T36) trivial $63.3035287119$
10.2.116656787456.1 $x^{10} - x^{9} - 7 x^{8} - 2 x^{7} + 11 x^{6} + 7 x^{5} - 3 x^{4} - 4 x^{3} - 4 x^{2} - 2 x + 2$ $2^{12}\cdot 11\cdot 17^{4}\cdot 31$ $C_2 \wr A_5$ (as 10T36) trivial $101.088830646$
10.2.117683093504.1 $x^{10} - 4 x^{8} - 2 x^{7} + 13 x^{6} + 2 x^{5} - 28 x^{4} + 14 x^{3} + 19 x^{2} - 20 x + 4$ $2^{15}\cdot 17^{4}\cdot 43$ $C_2 \wr A_5$ (as 10T36) trivial $59.9996373777$
10.2.119393603584.1 $x^{10} - x^{9} + x^{8} + 6 x^{6} - 10 x^{4} + 4 x^{3} + x^{2} + 5 x + 1$ $2^{12}\cdot 17^{4}\cdot 349$ $C_2 \wr A_5$ (as 10T36) trivial $101.80749922$
10.2.120419909632.1 $x^{10} - 2 x^{9} - 2 x^{8} + 8 x^{7} - 28 x^{5} + 48 x^{4} - 44 x^{3} + 30 x^{2} - 16 x + 4$ $2^{17}\cdot 11\cdot 17^{4}$ $C_2 \wr A_5$ (as 10T36) trivial $88.0391828242$
10.2.126686539269.1 $x^{10} - x^{9} + 3 x^{8} + 4 x^{7} - x^{6} + 12 x^{5} + 13 x^{4} + 8 x^{3} + 21 x^{2} + 18 x + 3$ $3^{9}\cdot 23^{5}$ $C_2 \wr A_5$ (as 10T36) trivial $70.4246025868$
10.0.128630358016.1 $x^{10} - 4 x^{9} + 7 x^{8} - 4 x^{7} - 3 x^{6} + 4 x^{5} + 7 x^{4} - 8 x^{3} - 4 x^{2} + 8 x + 4$ $-\,2^{15}\cdot 17^{4}\cdot 47$ $C_2 \wr A_5$ (as 10T36) trivial $116.108303775$
10.0.128630358016.2 $x^{10} - 2 x^{9} - 2 x^{7} + 11 x^{6} + 4 x^{5} + 2 x^{4} - 16 x^{3} - 4 x^{2} + 8$ $-\,2^{15}\cdot 17^{4}\cdot 47$ $C_2 \wr A_5$ (as 10T36) trivial $119.056729701$
10.0.140946030592.1 $x^{10} - x^{9} + 2 x^{8} - 4 x^{7} + 4 x^{6} + 8 x^{4} - 8 x^{3} - 14 x^{2} + 6 x + 8$ $-\,2^{14}\cdot 17^{4}\cdot 103$ $C_2 \wr A_5$ (as 10T36) trivial $125.017376076$
10.2.140946030592.1 $x^{10} - 2 x^{9} - 2 x^{8} + 6 x^{7} + x^{6} - 4 x^{5} - 2 x^{4} - 6 x^{3} - 5 x^{2} - 2 x - 2$ $2^{14}\cdot 17^{4}\cdot 103$ $C_2 \wr A_5$ (as 10T36) trivial $69.3107432282$
10.0.143340744704.1 $x^{10} - x^{9} + 5 x^{8} - 8 x^{7} + 15 x^{6} - 31 x^{5} + 43 x^{4} - 44 x^{3} + 29 x^{2} - 9 x + 1$ $-\,2^{12}\cdot 17^{4}\cdot 419$ $C_2 \wr A_5$ (as 10T36) trivial $33.6769505248$
10.0.143340744704.2 $x^{10} - 2 x^{9} + 2 x^{8} + 7 x^{6} - 18 x^{5} + 38 x^{4} - 40 x^{3} + 29 x^{2} - 10 x + 4$ $-\,2^{12}\cdot 17^{4}\cdot 419$ $C_2 \wr A_5$ (as 10T36) trivial $30.1477253494$
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