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Label Polynomial Discriminant Galois group Class group Regulator
10.0.116580777984.1 $x^{10} - 4 x^{9} + 8 x^{8} - 10 x^{7} + 14 x^{6} - 26 x^{5} + 33 x^{4} - 20 x^{3} + 4 x^{2} + 1$ $-\,2^{15}\cdot 3^{5}\cdot 11^{4}$ $D_5\times C_5$ (as 10T6) $[2]$ $11.885334615$
10.0.3110400000000.1 $x^{10} - 4 x^{9} + 8 x^{8} - 8 x^{7} + 17 x^{6} - 22 x^{5} + 24 x^{4} + 2 x^{3} + 28 x^{2} + 8 x + 1$ $-\,2^{15}\cdot 3^{5}\cdot 5^{8}$ $D_5\times C_5$ (as 10T6) $[2]$ $65.4502518506$
10.0.7353650479104.1 $x^{10} - 2 x^{9} + x^{8} + 4 x^{7} + x^{6} - 4 x^{5} - 3 x^{4} + 10 x^{3} + 18 x^{2} + 16 x + 7$ $-\,2^{15}\cdot 3^{5}\cdot 31^{4}$ $D_5\times C_5$ (as 10T6) $[2]$ $164.439792535$
10.2.29090713600000.1 $x^{10} + 8 x^{8} + 16 x^{6} - 200 x^{4} - 800 x^{2} - 4000$ $2^{15}\cdot 5^{5}\cdot 13^{2}\cdot 41^{2}$ $S_5\times C_2$ (as 10T22) $[2]$ $316.910664672$
10.0.38855065042944.1 $x^{10} - 648 x^{4} + 2592 x^{2} + 7776$ $-\,2^{15}\cdot 3^{5}\cdot 47^{4}$ $D_{10}$ (as 10T3) $[2]$ $246.29624409$
10.2.51403585126400.1 $x^{10} - 4 x^{9} + 4 x^{8} - 6 x^{7} + 8 x^{6} - 10 x^{5} + 19 x^{4} + 12 x^{3} - 46 x^{2} + 36 x - 23$ $2^{15}\cdot 5^{2}\cdot 13^{7}$ $D_5^2 : C_2$ (as 10T21) $[2]$ $705.880631696$
10.0.62828933382144.1 $x^{10} + 2 x^{8} + 12 x^{6} + 8 x^{4} + 160 x^{2} + 96$ $-\,2^{15}\cdot 3^{5}\cdot 53^{4}$ $D_{10}$ (as 10T3) $[2]$ $1367.65031538$
10.0.77265229938688.1 $x^{10} + 22 x^{8} + 176 x^{6} + 616 x^{4} + 880 x^{2} + 352$ $-\,2^{15}\cdot 11^{9}$ $C_{10}$ (as 10T1) $[22]$ $26.1711060094$
10.0.150725512757248.1 $x^{10} + 2 x^{8} - 4 x^{6} + 72 x^{4} + 416 x^{2} + 352$ $-\,2^{15}\cdot 11^{5}\cdot 13^{4}$ $D_{10}$ (as 10T3) $[2]$ $651.750372739$
10.2.178130151440384.1 $x^{10} + 2 x^{8} - 36 x^{6} - 24 x^{4} + 352 x^{2} - 416$ $2^{15}\cdot 11^{4}\cdot 13^{5}$ $D_{10}$ (as 10T3) $[2]$ $1507.13255086$
10.0.192198386221056.1 $x^{10} - 4 x^{8} - 4 x^{6} + 40 x^{4} - 80 x^{2} + 96$ $-\,2^{15}\cdot 3^{5}\cdot 17^{6}$ $F_{5}\times C_2$ (as 10T5) $[2]$ $865.448903508$
10.0.310144849772544.1 $x^{10} - 2 x^{9} + 33 x^{8} - 54 x^{7} + 419 x^{6} - 456 x^{5} + 2250 x^{4} - 1094 x^{3} + 5353 x^{2} - 330 x + 7159$ $-\,2^{15}\cdot 3^{5}\cdot 79^{4}$ $D_{10}$ (as 10T3) $[2]$ $909.859032587$
10.2.494265241600000.1 $x^{10} - 4 x^{9} + 8 x^{8} - 8 x^{7} - 11 x^{6} + 34 x^{5} - 68 x^{4} + 78 x^{3} - 90 x^{2} + 60 x - 31$ $2^{15}\cdot 5^{5}\cdot 13^{6}$ $D_5^2 : C_2$ (as 10T19) $[2]$ $2178.5792347$
10.2.499679334400000.1 $x^{10} - 2 x^{9} - 5 x^{8} + 14 x^{7} + 6 x^{6} - 24 x^{5} - 19 x^{4} + 50 x^{3} + 5 x^{2} - 50 x + 25$ $2^{15}\cdot 5^{5}\cdot 47^{4}$ $D_5^2$ (as 10T9) $[2]$ $1146.86520947$
10.2.499679334400000.3 $x^{10} - 4 x^{9} - 42 x^{8} + 150 x^{7} + 768 x^{6} - 2182 x^{5} - 7763 x^{4} + 14884 x^{3} + 42538 x^{2} - 37280 x - 100319$ $2^{15}\cdot 5^{5}\cdot 47^{4}$ $D_{10}$ (as 10T3) $[2]$ $1028.94556974$
10.2.499679334400000.4 $x^{10} - 4 x^{9} + 6 x^{8} + 6 x^{7} - 48 x^{6} + 58 x^{5} + x^{4} + 20 x^{3} + 84 x^{2} - 180 x + 135$ $2^{15}\cdot 5^{5}\cdot 47^{4}$ $D_5^2$ (as 10T9) $[2]$ $7058.61310724$
10.0.816293376000000.12 $x^{10} - 4 x^{9} + 2 x^{8} - 6 x^{7} + 38 x^{6} - 14 x^{5} + 27 x^{4} - 176 x^{3} - 112 x^{2} + 196 x + 343$ $-\,2^{15}\cdot 3^{13}\cdot 5^{6}$ $(A_5^2 : C_2):C_2$ (as 10T41) $[2]$ $3553.5891399$
10.0.828593846452224.1 $x^{10} - 2 x^{9} + 11 x^{8} + 2 x^{7} - x^{6} + 172 x^{5} + 18 x^{4} + 502 x^{3} + 1525 x^{2} - 86 x + 4057$ $-\,2^{15}\cdot 3^{5}\cdot 101^{4}$ $D_5\times C_5$ (as 10T6) $[2]$ $392.803115279$
10.0.828593846452224.2 $x^{10} + 2 x^{8} - 36 x^{6} - 64 x^{4} + 592 x^{2} + 864$ $-\,2^{15}\cdot 3^{5}\cdot 101^{4}$ $D_{10}$ (as 10T3) $[22]$ $751.1444098803755$
10.0.896200346271744.2 $x^{10} - 4 x^{9} + 40 x^{8} - 114 x^{7} + 551 x^{6} - 1064 x^{5} + 3209 x^{4} - 3960 x^{3} + 7771 x^{2} - 3886 x + 4975$ $-\,2^{15}\cdot 3^{5}\cdot 103^{4}$ $D_{10}$ (as 10T3) $[2]$ $2016.8468426737309$
10.2.1109977823084544.1 $x^{10} + 4 x^{8} - 68 x^{6} - 568 x^{4} - 400 x^{2} - 1696$ $2^{15}\cdot 3^{4}\cdot 53^{5}$ $D_{10}$ (as 10T3) $[2]$ $12293.0510828$
10.0.1596776212168704.1 $x^{10} - 2 x^{9} + 31 x^{8} - 50 x^{7} + 392 x^{6} - 428 x^{5} + 2211 x^{4} - 1182 x^{3} + 6143 x^{2} - 1050 x + 10087$ $-\,2^{15}\cdot 3^{5}\cdot 7^{4}\cdot 17^{4}$ $D_{10}$ (as 10T3) $[2]$ $2025.2687135910317$
10.0.1706859170463744.1 $x^{10} - 2 x^{9} + 23 x^{8} - 34 x^{7} + 304 x^{6} - 356 x^{5} + 2435 x^{4} - 2014 x^{3} + 11703 x^{2} - 5370 x + 26839$ $-\,2^{15}\cdot 3^{5}\cdot 11^{8}$ $C_{10}$ (as 10T1) $[5, 10]$ $26.1711060094$
10.0.1706859170463744.2 $x^{10} - 12 x^{8} + 73 x^{6} - 22 x^{5} - 228 x^{4} + 198 x^{3} + 256 x^{2} - 440 x + 175$ $-\,2^{15}\cdot 3^{5}\cdot 11^{8}$ $D_5\times C_5$ (as 10T6) $[5, 10]$ $214.349513849$
10.2.1826188057018368.1 $x^{10} - 12 x^{8} + 324 x^{6} - 1728 x^{4} + 20736 x^{2} - 365472$ $2^{15}\cdot 3^{5}\cdot 47^{5}$ $D_{10}$ (as 10T3) $[2]$ $2082.61778717$
10.0.1944000000000000.18 $x^{10} + 20 x^{8} + 180 x^{6} + 800 x^{4} + 1600 x^{2} + 864$ $-\,2^{15}\cdot 3^{5}\cdot 5^{12}$ $D_{10}$ (as 10T3) $[2]$ $14140.9944014$
10.0.1944000000000000.22 $x^{10} - 10 x^{8} - 10 x^{7} - 5 x^{6} + 8 x^{5} + 175 x^{4} + 360 x^{3} + 585 x^{2} + 1170 x + 927$ $-\,2^{15}\cdot 3^{5}\cdot 5^{12}$ $D_5^2 : C_2$ (as 10T19) $[2]$ $3679.0584579758633$
10.0.2071433961897984.1 $x^{10} - 2 x^{9} + 27 x^{8} - 42 x^{7} + 344 x^{6} - 384 x^{5} + 2247 x^{4} - 1502 x^{3} + 8443 x^{2} - 2922 x + 17455$ $-\,2^{15}\cdot 3^{5}\cdot 127^{4}$ $D_{10}$ (as 10T3) $[2]$ $3800.3872464321717$
10.2.3240000000000000.4 $x^{10} + 10 x^{8} - 20 x^{6} - 280 x^{4} + 800 x^{2} - 160$ $2^{15}\cdot 3^{4}\cdot 5^{13}$ $D_{10}$ (as 10T3) $[2]$ $25714.6411992$
10.0.3267372565757952.2 $x^{10} + 20 x^{8} + 116 x^{6} + 160 x^{4} + 64 x^{2} + 1632$ $-\,2^{15}\cdot 3^{5}\cdot 17^{7}$ $F_{5}\times C_2$ (as 10T5) $[2, 2]$ $865.448903508$
10.0.3329663600001024.1 $x^{10} - 2 x^{9} + 29 x^{8} - 46 x^{7} + 367 x^{6} - 404 x^{5} + 2210 x^{4} - 1318 x^{3} + 7173 x^{2} - 1914 x + 13519$ $-\,2^{15}\cdot 3^{5}\cdot 11^{4}\cdot 13^{4}$ $D_{10}$ (as 10T3) $[2]$ $3212.2087588715217$
10.0.3732547578462208.1 $x^{10} + 4 x^{8} - 44 x^{6} + 256 x^{4} - 128 x^{2} + 352$ $-\,2^{15}\cdot 11^{5}\cdot 29^{4}$ $D_{10}$ (as 10T3) $[2]$ $4164.658812617164$
10.2.3988488294400000.1 $x^{10} - 2 x^{9} - 47 x^{8} + 74 x^{7} + 931 x^{6} - 1192 x^{5} - 9158 x^{4} + 9146 x^{3} + 46953 x^{2} - 29546 x - 113049$ $2^{15}\cdot 5^{5}\cdot 79^{4}$ $D_{10}$ (as 10T3) $[2]$ $7099.789923519084$
10.2.4859732070400000.1 $x^{10} - 20 x^{8} + 228 x^{6} - 1440 x^{4} + 4736 x^{2} - 7840$ $2^{15}\cdot 5^{5}\cdot 83^{4}$ $D_{10}$ (as 10T3) $[2]$ $19285.7126819745$
10.0.4873715075350528.1 $x^{10} - 4 x^{9} + 32 x^{8} - 62 x^{7} + 184 x^{6} - 46 x^{5} + 243 x^{4} + 152 x^{3} + 196 x^{2} + 120 x + 25$ $-\,2^{15}\cdot 11^{5}\cdot 31^{4}$ $D_5\times C_5$ (as 10T6) $[2]$ $2028.73170818$
10.0.6298560000000000.8 $x^{10} - 2 x^{9} - 3 x^{8} + 18 x^{7} - 120 x^{5} + 351 x^{4} - 606 x^{3} + 531 x^{2} - 170 x + 31$ $-\,2^{15}\cdot 3^{9}\cdot 5^{10}$ $A_5 \wr C_2$ (as 10T40) $[10]$ $1104.125437$
10.2.7022076006400000.1 $x^{10} - 20 x^{8} + 172 x^{6} - 760 x^{4} + 1456 x^{2} - 160$ $2^{15}\cdot 5^{5}\cdot 7^{4}\cdot 13^{4}$ $D_{10}$ (as 10T3) $[2]$ $4629.312479817864$
10.6.9000000000000000.1 $x^{10} - 20 x^{8} - 10 x^{7} + 140 x^{6} + 106 x^{5} - 375 x^{4} - 260 x^{3} + 120 x^{2} + 20 x - 1$ $2^{15}\cdot 3^{2}\cdot 5^{15}$ $D_5^2 : C_2$ (as 10T21) $[2]$ $53200.3986674$
10.10.9840352706854912.1 $x^{10} - 22 x^{8} - 10 x^{7} + 155 x^{6} + 120 x^{5} - 407 x^{4} - 396 x^{3} + 297 x^{2} + 286 x - 33$ $2^{15}\cdot 11^{4}\cdot 29^{5}$ $D_5\times C_5$ (as 10T6) $[2]$ $120083.548612$
10.2.9840352706854912.1 $x^{10} - 10 x^{8} - 16 x^{6} - 56 x^{4} - 80 x^{2} - 928$ $2^{15}\cdot 11^{4}\cdot 29^{5}$ $D_{10}$ (as 10T3) $[2]$ $22023.934119246896$
10.2.11177433485180928.1 $x^{10} - 6 x^{8} + 108 x^{6} + 648 x^{4} + 2592 x^{2} - 54432$ $2^{15}\cdot 3^{5}\cdot 7^{5}\cdot 17^{4}$ $D_{10}$ (as 10T3) $[2]$ $6993.478103843374$
10.2.11525210214400000.1 $x^{10} - 4 x^{9} - 40 x^{8} + 142 x^{7} + 743 x^{6} - 2120 x^{5} - 7879 x^{4} + 15880 x^{3} + 46075 x^{2} - 45358 x - 119169$ $2^{15}\cdot 5^{5}\cdot 103^{4}$ $D_{10}$ (as 10T3) $[2]$ $14422.042178827694$
10.0.14062795223040000.1 $x^{10} + 16 x^{8} + 144 x^{6} + 664 x^{4} + 2080 x^{2} + 2400$ $-\,2^{15}\cdot 3^{5}\cdot 5^{4}\cdot 41^{4}$ $D_{10}$ (as 10T3) $[2]$ $13793.125718940932$
10.2.18257397616640000.1 $x^{10} - 2 x^{8} + 32 x^{6} + 8 x^{4} + 432 x^{2} - 416$ $2^{15}\cdot 5^{4}\cdot 7^{4}\cdot 13^{5}$ $D_{10}$ (as 10T3) $[2]$ $16604.657983569497$
10.0.20407334400000000.2 $x^{10} - 16 x^{8} - 26 x^{7} + 70 x^{6} + 230 x^{5} + 175 x^{4} - 80 x^{3} - 130 x^{2} + 25$ $-\,2^{15}\cdot 3^{13}\cdot 5^{8}$ $(A_5^2 : C_2):C_2$ (as 10T41) $[2]$ $11523.4377645$
10.2.20534673510400000.1 $x^{10} - 2 x^{9} - 49 x^{8} + 78 x^{7} + 968 x^{6} - 1228 x^{5} - 9117 x^{4} + 8674 x^{3} + 42911 x^{2} - 25146 x - 93769$ $2^{15}\cdot 5^{5}\cdot 7^{4}\cdot 17^{4}$ $D_{10}$ (as 10T3) $[2]$ $4193.402514123761$
10.10.21950349414400000.1 $x^{10} - 2 x^{9} - 57 x^{8} + 94 x^{7} + 1136 x^{6} - 1412 x^{5} - 9533 x^{4} + 7586 x^{3} + 32343 x^{2} - 11546 x - 34649$ $2^{15}\cdot 5^{5}\cdot 11^{8}$ $C_{10}$ (as 10T1) $[2]$ $28227.4796665$
10.2.23437992038400000.1 $x^{10} - 10 x^{8} + 48 x^{6} + 200 x^{4} - 464 x^{2} - 1440$ $2^{15}\cdot 3^{4}\cdot 5^{5}\cdot 41^{4}$ $D_{10}$ (as 10T3) $[2]$ $132972.22669101774$
10.0.23484928716800000.2 $x^{10} + 20 x^{8} + 900 x^{6} + 8000 x^{4} + 160000 x^{2} + 4700000$ $-\,2^{15}\cdot 5^{5}\cdot 47^{5}$ $D_{10}$ (as 10T3) $[2, 10]$ $565.837704223$
10.2.24501443132030976.1 $x^{10} + 12 x^{8} + 180 x^{6} + 864 x^{4} + 5184 x^{2} - 614304$ $2^{15}\cdot 3^{5}\cdot 79^{5}$ $D_{10}$ (as 10T3) $[2]$ $11706.6404368$
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