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Label Polynomial Discriminant Galois group Class group Regulator
10.2.268435456000000.1 $x^{10} - 4 x^{9} - 2 x^{8} + 16 x^{7} + 4 x^{6} + 16 x^{5} - 88 x^{4} - 96 x^{3} + 196 x^{2} + 176 x - 232$ $2^{34}\cdot 5^{6}$ $M_{10}$ (as 10T31) trivial $6619.8585772$
10.2.570630428688384.3 $x^{10} - 12 x^{8} + 30 x^{6} - 48 x^{5} - 24 x^{4} + 96 x^{3} - 129 x^{2} + 80 x - 36$ $2^{30}\cdot 3^{12}$ $M_{10}$ (as 10T31) trivial $22587.9823003$
10.2.1014454095446016.1 $x^{10} - 2 x^{9} + 9 x^{8} - 54 x^{2} + 108 x - 54$ $2^{34}\cdot 3^{10}$ $M_{10}$ (as 10T31) trivial $26774.6213958$
10.2.1014454095446016.2 $x^{10} - 2 x^{9} + 3 x^{8} + 12 x^{6} - 24 x^{5} - 12 x^{4} + 36 x^{2} - 8 x - 20$ $2^{34}\cdot 3^{10}$ $M_{10}$ (as 10T31) trivial $33812.6240139$
10.2.3243658447265625.1 $x^{10} - 5 x^{9} + 15 x^{8} - 15 x^{7} + 15 x^{6} - 96 x^{5} + 345 x^{4} - 510 x^{3} - 45 x^{2} + 170 x - 52$ $3^{12}\cdot 5^{14}$ $M_{10}$ (as 10T31) trivial $24537.2398056$
10.2.3783403212890625.1 $x^{10} - 5 x^{9} + 135 x^{6} - 360 x^{5} + 405 x^{4} - 270 x^{3} + 135 x^{2} - 45 x + 9$ $3^{18}\cdot 5^{10}$ $M_{10}$ (as 10T31) trivial $29151.670506$
10.2.5572562780160000.7 $x^{10} - x^{9} - 6 x^{8} + 12 x^{7} + 72 x^{4} - 72 x^{3} + 36 x^{2} - 36 x - 72$ $2^{24}\cdot 3^{12}\cdot 5^{4}$ $M_{10}$ (as 10T31) trivial $114183.817501$
10.2.6499837226778624.1 $x^{10} - 4 x^{9} + 24 x^{7} - 42 x^{6} + 84 x^{4} - 120 x^{3} - 162 x^{2} + 296 x - 320$ $2^{24}\cdot 3^{18}$ $M_{10}$ (as 10T31) trivial $130357.691497$
10.2.6499837226778624.2 $x^{10} - 4 x^{9} + 24 x^{7} - 60 x^{6} + 156 x^{4} - 120 x^{3} - 207 x^{2} + 428 x - 236$ $2^{24}\cdot 3^{18}$ $M_{10}$ (as 10T31) trivial $105181.424251$
10.2.6499837226778624.4 $x^{10} - 4 x^{9} - 24 x^{7} + 96 x^{6} - 24 x^{4} - 48 x^{3} + 36 x^{2} + 16 x + 80$ $2^{24}\cdot 3^{18}$ $M_{10}$ (as 10T31) trivial $146466.384702$
10.2.6499837226778624.5 $x^{10} - x^{9} + 9 x^{8} + 12 x^{7} + 6 x^{6} + 126 x^{5} - 42 x^{4} + 276 x^{3} + 45 x^{2} + 79 x + 101$ $2^{24}\cdot 3^{18}$ $M_{10}$ (as 10T31) trivial $45600.6663284$
10.2.9130086859014144.7 $x^{10} - 2 x^{9} + 9 x^{8} - 288 x^{2} + 576 x - 288$ $2^{34}\cdot 3^{12}$ $M_{10}$ (as 10T31) trivial $109103.955943$
10.2.9130086859014144.12 $x^{10} - 4 x^{9} + 12 x^{8} - 36 x^{6} + 144 x^{5} - 48 x^{4} + 324 x^{2} + 240 x + 48$ $2^{34}\cdot 3^{12}$ $M_{10}$ (as 10T31) trivial $66344.8918481$
10.2.9130086859014144.15 $x^{10} - 4 x^{9} + 12 x^{8} - 96 x^{6} + 144 x^{5} + 120 x^{4} - 528 x^{3} + 798 x^{2} - 856 x + 184$ $2^{34}\cdot 3^{12}$ $M_{10}$ (as 10T31) $[4]$ $22631.9020885$
10.2.9130086859014144.19 $x^{10} - 2 x^{9} + 3 x^{8} - 48 x^{6} + 96 x^{5} - 48 x^{4} + 576 x^{2} - 640 x + 704$ $2^{34}\cdot 3^{12}$ $M_{10}$ (as 10T31) trivial $74497.210995$
10.2.12961461825709056.1 $x^{10} - 2 x^{9} + 3 x^{8} + 6 x^{7} + 6 x^{6} - 144 x^{5} + 102 x^{4} + 78 x^{3} - 555 x^{2} - 546 x - 249$ $2^{10}\cdot 3^{10}\cdot 11^{8}$ $M_{10}$ (as 10T31) trivial $147944.210713$
10.2.13271040000000000.3 $x^{10} + 5 x^{8} - 40 x^{7} + 40 x^{6} - 24 x^{5} + 140 x^{4} - 80 x^{3} - 20 x^{2} - 80 x - 12$ $2^{24}\cdot 3^{4}\cdot 5^{10}$ $M_{10}$ (as 10T31) trivial $94688.3171634$
10.2.15479341056000000.16 $x^{10} - 4 x^{9} + 12 x^{8} + 6 x^{6} - 12 x^{4} - 120 x^{3} - 66 x^{2} + 104 x + 88$ $2^{24}\cdot 3^{10}\cdot 5^{6}$ $M_{10}$ (as 10T31) trivial $223745.233178$
10.2.18226538222455809.1 $x^{10} - 5 x^{9} + 9 x^{8} + 3 x^{7} - 60 x^{6} + 126 x^{5} - 105 x^{4} + 219 x^{3} - 423 x^{2} + 505 x - 302$ $3^{18}\cdot 19^{6}$ $M_{10}$ (as 10T31) trivial $118598.693049$
10.2.27422596920508416.1 $x^{10} - 4 x^{9} - 3 x^{8} + 48 x^{7} - 42 x^{6} - 96 x^{5} + 60 x^{4} + 456 x^{3} - 195 x^{2} - 68 x + 35$ $2^{18}\cdot 3^{10}\cdot 11^{6}$ $M_{10}$ (as 10T31) trivial $218639.343359$
10.2.79101562500000000.2 $x^{10} - 5 x^{8} - 90 x^{6} - 240 x^{5} + 190 x^{4} + 600 x^{3} - 95 x^{2} - 600 x - 261$ $2^{8}\cdot 3^{4}\cdot 5^{18}$ $M_{10}$ (as 10T31) trivial $300325.058092$
10.2.92264062500000000.6 $x^{10} - 5 x^{9} + 30 x^{7} - 15 x^{6} - 81 x^{5} - 90 x^{4} + 360 x^{3} - 360$ $2^{8}\cdot 3^{10}\cdot 5^{14}$ $M_{10}$ (as 10T31) trivial $351709.199104$
10.2.102400000000000000.4 $x^{10} - 5 x^{8} - 20 x^{7} - 5 x^{6} + 4 x^{5} + 375 x^{4} + 340 x^{3} - 565 x^{2} - 3160 x + 2729$ $2^{24}\cdot 5^{14}$ $M_{10}$ (as 10T31) trivial $112331.312504$
10.2.113507926962890625.1 $x^{10} - 30 x^{7} + 15 x^{6} - 15 x^{5} + 90 x^{4} - 585 x^{3} - 1485 x^{2} - 1485 x + 54$ $3^{8}\cdot 5^{10}\cdot 11^{6}$ $M_{10}$ (as 10T31) trivial $486589.465582$
10.2.119...000.22 $x^{10} - 5 x^{9} + 110 x^{6} - 102 x^{5} - 100 x^{4} - 60 x^{3} - 450 x^{2} - 270 x - 48$ $2^{24}\cdot 3^{6}\cdot 5^{10}$ $M_{10}$ (as 10T31) trivial $884325.585343$
10.2.163716748799901696.1 $x^{10} - 4 x^{9} + 2 x^{8} + 56 x^{7} - 194 x^{6} + 560 x^{5} - 1008 x^{4} + 1512 x^{3} - 1977 x^{2} + 1228 x - 582$ $2^{34}\cdot 3^{4}\cdot 7^{6}$ $M_{10}$ (as 10T31) trivial $501661.391167$
10.2.195689447424000000.4 $x^{10} - 4 x^{9} - 14 x^{8} + 32 x^{7} + 36 x^{6} - 192 x^{5} + 112 x^{4} + 80 x^{3} - 2 x^{2} + 8 x + 12$ $2^{34}\cdot 3^{6}\cdot 5^{6}$ $M_{10}$ (as 10T31) trivial $689701.873961$
10.2.195...000.20 $x^{10} - 4 x^{9} - 6 x^{8} + 24 x^{7} + 42 x^{6} - 48 x^{5} + 72 x^{4} - 1128 x^{3} - 1005 x^{2} + 11740 x - 13630$ $2^{34}\cdot 3^{6}\cdot 5^{6}$ $M_{10}$ (as 10T31) trivial $568453.908802$
10.2.225254058837890625.1 $x^{10} - 5 x^{9} - 45 x^{7} - 90 x^{6} - 261 x^{5} - 420 x^{4} - 180 x^{3} - 75 x^{2} - 30 x - 12$ $3^{10}\cdot 5^{18}$ $M_{10}$ (as 10T31) trivial $153293.847511$
10.2.225254058837890625.4 $x^{10} - 5 x^{9} - 15 x^{8} + 90 x^{7} - 45 x^{6} - 66 x^{5} + 150 x^{4} - 150 x^{2} + 200 x - 85$ $3^{10}\cdot 5^{18}$ $M_{10}$ (as 10T31) trivial $166883.304899$
10.2.270633809240653824.1 $x^{10} + 10 x^{8} - 48 x^{7} - 92 x^{6} - 528 x^{5} - 688 x^{4} - 816 x^{3} - 430 x^{2} - 288 x - 796$ $2^{34}\cdot 3^{8}\cdot 7^{4}$ $M_{10}$ (as 10T31) trivial $549213.426002$
10.2.393379840000000000.1 $x^{10} - 10 x^{8} + 75 x^{6} - 60 x^{5} - 450 x^{4} + 420 x^{3} + 985 x^{2} - 540 x + 296$ $2^{24}\cdot 5^{10}\cdot 7^{4}$ $M_{10}$ (as 10T31) trivial $469254.108123$
10.2.415989582513831936.1 $x^{10} - 4 x^{9} + 18 x^{8} - 90 x^{6} + 504 x^{5} - 540 x^{4} + 720 x^{3} + 990 x^{2} + 120 x - 732$ $2^{30}\cdot 3^{18}$ $M_{10}$ (as 10T31) trivial $670650.640548$
10.2.739537035580145664.1 $x^{10} - 2 x^{9} + 9 x^{8} - 648 x^{2} + 1296 x - 648$ $2^{34}\cdot 3^{16}$ $M_{10}$ (as 10T31) trivial $809975.428886$
10.2.739537035580145664.2 $x^{10} - 2 x^{9} - 9 x^{8} + 24 x^{7} + 6 x^{6} - 36 x^{5} - 150 x^{4} + 552 x^{3} - 387 x^{2} - 514 x + 587$ $2^{34}\cdot 3^{16}$ $M_{10}$ (as 10T31) trivial $495889.490114$
10.2.830...000.11 $x^{10} - 5 x^{9} + 30 x^{7} + 45 x^{6} - 111 x^{5} - 210 x^{4} + 1200 x^{3} + 3300 x^{2} + 4750 x + 1450$ $2^{8}\cdot 3^{12}\cdot 5^{14}$ $M_{10}$ (as 10T31) trivial $885417.596241$
10.2.104...144.2 $x^{10} - 4 x^{9} + 24 x^{8} - 72 x^{7} + 180 x^{6} - 384 x^{5} + 372 x^{4} - 216 x^{3} - 639 x^{2} + 332 x - 620$ $2^{24}\cdot 3^{12}\cdot 7^{6}$ $M_{10}$ (as 10T31) trivial $2343279.2632$
10.2.119...625.1 $x^{10} - 2 x^{9} + 36 x^{8} + 9 x^{7} + 270 x^{6} + 783 x^{5} + 1251 x^{4} + 972 x^{3} + 1323 x^{2} - 3330 x - 4653$ $3^{16}\cdot 5^{6}\cdot 11^{6}$ $M_{10}$ (as 10T31) trivial $876665.291796$
10.2.138...456.1 $x^{10} - 2 x^{9} - 5 x^{8} - 32 x^{7} + 108 x^{6} - 216 x^{5} + 4 x^{4} + 640 x^{3} + 904 x^{2} + 208 x + 72$ $2^{30}\cdot 3^{6}\cdot 11^{6}$ $M_{10}$ (as 10T31) trivial $831139.402742$
10.2.147...264.1 $x^{10} - 2 x^{9} + 5 x^{8} + 40 x^{7} - 182 x^{6} + 420 x^{5} - 518 x^{4} - 152 x^{3} - 109 x^{2} + 514 x - 305$ $2^{34}\cdot 3^{6}\cdot 7^{6}$ $M_{10}$ (as 10T31) trivial $1778054.60767$
10.2.169...625.4 $x^{10} - 5 x^{9} + 15 x^{8} + 30 x^{7} - 165 x^{6} + 363 x^{5} - 150 x^{4} - 720 x^{3} + 870 x^{2} + 235 x - 938$ $3^{10}\cdot 5^{12}\cdot 7^{6}$ $M_{10}$ (as 10T31) trivial $2244541.11892$
10.2.172...000.2 $x^{10} + 45 x^{6} - 36 x^{5} + 360 x^{4} - 1080 x^{3} + 1305 x^{2} - 780 x + 180$ $2^{12}\cdot 3^{16}\cdot 5^{10}$ $M_{10}$ (as 10T31) trivial $2705791.16961$
10.2.177...625.1 $x^{10} - 12 x^{8} + 117 x^{6} - 495 x^{5} - 162 x^{4} + 495 x^{3} - 2538 x^{2} - 3960 x - 1431$ $3^{12}\cdot 5^{6}\cdot 11^{8}$ $M_{10}$ (as 10T31) $[5]$ $134620.626289$
10.2.202...625.1 $x^{10} - 5 x^{9} + 30 x^{7} - 15 x^{6} + 39 x^{5} + 480 x^{4} - 3780 x^{3} + 5625 x^{2} + 3345 x - 8472$ $3^{12}\cdot 5^{18}$ $M_{10}$ (as 10T31) trivial $1792451.54077$
10.2.202...625.3 $x^{10} - 5 x^{9} + 30 x^{7} - 15 x^{6} + 99 x^{5} - 420 x^{4} + 120 x^{3} + 1125 x^{2} - 4355 x + 5188$ $3^{12}\cdot 5^{18}$ $M_{10}$ (as 10T31) trivial $1505671.55332$
10.2.202...625.4 $x^{10} - 75 x^{7} - 150 x^{6} - 645 x^{5} + 4500 x^{2} - 4125 x + 6975$ $3^{12}\cdot 5^{18}$ $M_{10}$ (as 10T31) trivial $593483.328133$
10.2.202...625.5 $x^{10} - 5 x^{9} - 15 x^{8} + 90 x^{7} + 105 x^{6} - 606 x^{5} - 750 x^{4} + 2025 x^{3} + 4350 x^{2} - 5600 x - 4655$ $3^{12}\cdot 5^{18}$ $M_{10}$ (as 10T31) trivial $744219.282432$
10.2.202...625.6 $x^{10} - 5 x^{9} + 30 x^{7} - 90 x^{6} - 51 x^{5} + 855 x^{4} + 495 x^{3} - 3300 x^{2} - 5405 x - 2447$ $3^{12}\cdot 5^{18}$ $M_{10}$ (as 10T31) trivial $504124.686311$
10.2.234...000.1 $x^{10} - 30 x^{8} - 50 x^{7} + 160 x^{6} + 670 x^{5} + 1740 x^{4} + 2700 x^{3} + 1080 x^{2} + 1944$ $2^{8}\cdot 5^{18}\cdot 7^{4}$ $M_{10}$ (as 10T31) trivial $2178938.10508$
10.2.236...625.1 $x^{10} - 75 x^{7} + 198 x^{5} + 165 x^{4} + 2430 x^{3} - 225 x^{2} + 3650 x - 1035$ $3^{18}\cdot 5^{14}$ $M_{10}$ (as 10T31) trivial $506861.526593$
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