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Label Polynomial Discriminant Galois group Class group Regulator
10.0.209352647.1 $x^{10} - 3 x^{9} + 7 x^{8} - 11 x^{7} + 13 x^{6} - 12 x^{5} + 9 x^{4} - 5 x^{3} + 3 x^{2} - 2 x + 1$ $-\,7^{2}\cdot 23\cdot 431^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $0.568036883757$
10.0.212309359.1 $x^{10} - 3 x^{9} + 5 x^{8} - 7 x^{7} + 9 x^{6} - 10 x^{5} + 9 x^{4} - 7 x^{3} + 5 x^{2} - 2 x + 1$ $-\,31\cdot 2617^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $0.572857558707$
10.0.214816879.1 $x^{10} - 2 x^{9} + 4 x^{8} - 7 x^{7} + 9 x^{6} - 10 x^{5} + 10 x^{4} - 8 x^{3} + 6 x^{2} - 3 x + 1$ $-\,17^{2}\cdot 79\cdot 97^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $0.577674891408$
10.0.215067767.1 $x^{10} - x^{9} - x^{8} + 2 x^{7} + x^{6} - 3 x^{5} + 3 x^{3} - x^{2} - x + 1$ $-\,215067767$ $S_{10}$ (as 10T45) trivial $0.5781462354099604$
10.0.216670707.1 $x^{10} - 3 x^{9} + 5 x^{8} - 6 x^{7} + 6 x^{6} - 4 x^{5} + 2 x^{4} - x^{3} + x^{2} - x + 1$ $-\,3^{5}\cdot 11^{2}\cdot 7369$ $S_5^2 \wr C_2$ (as 10T43) trivial $1.74293786533$
10.0.220168975.1 $x^{10} - x^{9} - x^{8} + 2 x^{7} - x^{6} - x^{5} + 4 x^{4} - x^{3} - 3 x^{2} + x + 1$ $-\,5^{2}\cdot 13^{2}\cdot 31\cdot 41^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $0.586605631071$
10.0.220506347.1 $x^{10} - 3 x^{9} + 5 x^{8} - 5 x^{7} + 3 x^{6} - x^{4} + x^{3} - x + 1$ $-\,37\cdot 677\cdot 8803$ $S_{10}$ (as 10T45) trivial $0.5880175904588231$
10.0.224198759.1 $x^{10} - x^{9} - 2 x^{8} + 4 x^{7} - 4 x^{5} + 3 x^{4} + x^{3} - 2 x^{2} + 1$ $-\,71\cdot 1777^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $0.59340069383$
10.0.224415603.1 $x^{10} + 2 x^{8} - 3 x^{7} + 3 x^{6} - 7 x^{5} + 8 x^{4} - 7 x^{3} + 7 x^{2} - 4 x + 1$ $-\,3^{5}\cdot 31^{4}$ $D_5\times C_5$ (as 10T6) trivial $1.78149530531$
10.0.226173952.1 $x^{10} - x^{8} - 2 x^{7} - x^{6} + 2 x^{5} + 2 x^{4} - x^{2} + 1$ $-\,2^{10}\cdot 220873$ $S_5^2 \wr C_2$ (as 10T43) trivial $1.19443787527$
10.0.226876987.1 $x^{10} - 2 x^{9} + 3 x^{8} - 3 x^{7} + 2 x^{6} + x^{5} - x^{4} - 3 x^{3} + 6 x^{2} - 4 x + 1$ $-\,43\cdot 2297^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $0.597809920275$
10.0.227991979.1 $x^{10} - x^{9} - x^{8} + 3 x^{7} - x^{6} - 3 x^{5} + 3 x^{4} + x^{3} - 2 x^{2} + 1$ $-\,599\cdot 380621$ $S_{10}$ (as 10T45) trivial $0.5998219105603662$
10.0.229203619.1 $x^{10} - x^{9} + 2 x^{8} - 3 x^{7} + 4 x^{6} - 4 x^{5} + 4 x^{4} - 4 x^{3} + 3 x^{2} - 2 x + 1$ $-\,229203619$ $S_{10}$ (as 10T45) trivial $0.6020080437571057$
10.0.229345007.1 $x^{10} - x^{9} + 6 x^{8} - 3 x^{7} + 11 x^{6} - 3 x^{5} + 11 x^{4} - 3 x^{3} + 6 x^{2} - x + 1$ $-\,47^{5}$ $D_5$ (as 10T2) trivial $0.60186322759$
10.0.233043179.1 $x^{10} - x^{9} + 2 x^{8} - 4 x^{7} + 4 x^{6} - 5 x^{5} + 5 x^{4} - 4 x^{3} + 3 x^{2} - x + 1$ $-\,97\cdot 463\cdot 5189$ $S_{10}$ (as 10T45) trivial $0.6084964369407401$
10.0.236184579.1 $x^{10} - 3 x^{9} + 5 x^{8} - 7 x^{7} + 7 x^{6} - 6 x^{5} + 4 x^{4} - 2 x^{3} + x^{2} + 1$ $-\,3^{5}\cdot 37\cdot 109\cdot 241$ $S_5^2 \wr C_2$ (as 10T43) trivial $1.84211740914$
10.0.236438047.1 $x^{10} - 2 x^{9} + x^{8} + 2 x^{7} - 3 x^{6} + x^{5} + x^{4} - x + 1$ $-\,236438047$ $S_{10}$ (as 10T45) trivial $0.614960446273$
10.0.240232739.1 $x^{10} - 2 x^{9} + 2 x^{8} - 2 x^{6} + 4 x^{5} - 4 x^{4} + x^{3} + 3 x^{2} - 3 x + 1$ $-\,467\cdot 514417$ $S_{10}$ (as 10T45) trivial $0.622824662223$
10.0.243226747.1 $x^{10} - 3 x^{9} + 4 x^{8} - 3 x^{7} + 2 x^{6} - x^{5} + x^{4} - 2 x^{3} + 3 x^{2} - 2 x + 1$ $-\,243226747$ $S_{10}$ (as 10T45) trivial $0.6261475736016512$
10.0.243415027.1 $x^{10} - x^{7} + x^{6} + 2 x^{5} - x^{3} - 2 x^{2} + 1$ $-\,17\cdot 14318531$ $S_{10}$ (as 10T45) trivial $0.6267229276822098$
10.0.244175707.1 $x^{10} - x^{9} + x^{7} - x^{6} - x^{4} + x^{3} + x^{2} - x + 1$ $-\,19^{2}\cdot 676387$ $S_{10}$ (as 10T45) trivial $0.6277987643994235$
10.0.246071287.1 $x^{10} - 3 x^{9} + 7 x^{8} - 12 x^{7} + 15 x^{6} - 15 x^{5} + 12 x^{4} - 7 x^{3} + 4 x^{2} - 2 x + 1$ $-\,7^{5}\cdot 11^{4}$ $D_5\times C_5$ (as 10T6) trivial $0.634803768223$
10.0.246944619.1 $x^{10} - x^{9} + x^{6} - x^{5} - x^{4} + 3 x^{3} - x^{2} - x + 1$ $-\,3^{5}\cdot 73\cdot 13921$ $S_5^2 \wr C_2$ (as 10T43) trivial $1.90076515959$
10.0.250679267.1 $x^{10} - x^{9} - 2 x^{8} + x^{7} + 3 x^{6} - 2 x^{4} - 2 x^{3} + 2 x + 1$ $-\,250679267$ $S_{10}$ (as 10T45) trivial $0.6409749870444131$
10.0.252486127.1 $x^{10} - x^{9} + 2 x^{8} - 4 x^{7} + 4 x^{6} - 4 x^{5} + 5 x^{4} - 3 x^{3} + 2 x^{2} - 2 x + 1$ $-\,787\cdot 320821$ $S_{10}$ (as 10T45) trivial $0.642537334981687$
10.0.254121139.1 $x^{10} - 2 x^{8} - x^{7} + 2 x^{6} + 3 x^{5} - 3 x^{3} - x^{2} + x + 1$ $-\,149\cdot 991\cdot 1721$ $S_{10}$ (as 10T45) trivial $0.6480210196495108$
10.0.260270739.1 $x^{10} - x^{8} - 2 x^{7} + x^{6} + 3 x^{5} - 2 x^{4} - 4 x^{3} + x^{2} + 3 x + 1$ $-\,3^{5}\cdot 163\cdot 6571$ $S_5^2 \wr C_2$ (as 10T43) trivial $1.96704129047$
10.0.262091507.1 $x^{10} - x^{9} - 2 x^{6} + 3 x^{5} + 3 x^{4} - 4 x^{3} - 2 x^{2} + 2 x + 1$ $-\,83\cdot 1777^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $0.656821013577$
10.0.262477979.1 $x^{10} - x^{9} + x^{8} - 2 x^{6} + x^{5} - x^{4} + x^{2} + 1$ $-\,251\cdot 1045729$ $S_{10}$ (as 10T45) trivial $0.6577090020502393$
10.0.262864627.1 $x^{10} - 2 x^{8} - x^{7} + x^{6} + 2 x^{5} - x^{4} - 2 x^{3} + x^{2} + x + 1$ $-\,353\cdot 744659$ $S_{10}$ (as 10T45) trivial $0.6619032898743505$
10.0.262909719.1 $x^{10} - x^{8} - x^{7} - 2 x^{6} + 4 x^{4} + x^{3} - 2 x^{2} + 1$ $-\,3^{5}\cdot 73\cdot 14821$ $S_5^2 \wr C_2$ (as 10T43) trivial $1.97569183141$
10.0.263786699.1 $x^{10} - 2 x^{9} + 2 x^{8} - 2 x^{7} + 4 x^{6} - 5 x^{5} + 4 x^{4} - 2 x^{3} + 3 x^{2} - 3 x + 1$ $-\,11\cdot 59^{2}\cdot 83^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $0.663236848943$
10.0.268043264.1 $x^{10} - 2 x^{9} + 3 x^{8} - 6 x^{7} + 6 x^{6} - 6 x^{5} + 7 x^{4} - 4 x^{3} + 3 x^{2} - 2 x + 1$ $-\,2^{10}\cdot 261761$ $S_5^2 \wr C_2$ (as 10T43) trivial $1.33676061738$
10.0.274127275.1 $x^{10} - x^{9} + x^{8} - 3 x^{7} + 3 x^{6} - x^{5} + 3 x^{4} - 3 x^{3} + 1$ $-\,5^{2}\cdot 59\cdot 185849$ $S_{10}$ (as 10T45) trivial $0.6754062116693342$
10.0.274550779.1 $x^{10} - x^{9} + 2 x^{8} - 2 x^{7} + 3 x^{6} - 3 x^{5} + 3 x^{4} - 3 x^{3} + 2 x^{2} - 2 x + 1$ $-\,19\cdot 14450041$ $S_{10}$ (as 10T45) trivial $0.6811521995711005$
10.0.277010267.1 $x^{10} - 2 x^{9} + x^{8} + 2 x^{7} - 3 x^{6} + 3 x^{5} - 2 x^{4} + 3 x^{2} - 3 x + 1$ $-\,107\cdot 1609^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $0.679993136866$
10.0.278005859.1 $x^{10} - x^{9} - x^{8} + 4 x^{7} - 2 x^{6} - 3 x^{5} + 4 x^{4} - 2 x^{2} + 1$ $-\,278005859$ $S_{10}$ (as 10T45) trivial $0.6840713547835329$
10.0.278645219.1 $x^{10} + 3 x^{8} - x^{7} + 4 x^{6} - x^{5} + 4 x^{4} + 2 x^{2} + 1$ $-\,317\cdot 879007$ $S_{10}$ (as 10T45) trivial $0.6850935429811508$
10.0.281268947.1 $x^{10} + 3 x^{8} - x^{7} + 4 x^{6} - x^{5} + 4 x^{4} - x^{3} + 2 x^{2} - x + 1$ $-\,281268947$ $S_{10}$ (as 10T45) trivial $0.6911023529825022$
10.0.282748447.1 $x^{10} - x^{9} - 2 x^{8} + 3 x^{7} + 2 x^{6} - 5 x^{5} + x^{4} + 4 x^{3} - 2 x^{2} - x + 1$ $-\,282748447$ $S_{10}$ (as 10T45) trivial $0.689666096131428$
10.0.283885691.1 $x^{10} - x^{9} + 2 x^{8} - 4 x^{7} + 3 x^{6} - 4 x^{5} + 3 x^{4} - 2 x^{3} + 2 x^{2} + 1$ $-\,8941\cdot 31751$ $S_{10}$ (as 10T45) trivial $0.6905689191175234$
10.0.284152779.1 $x^{10} - x^{9} - 2 x^{8} + 3 x^{7} + 2 x^{6} - 3 x^{5} - 2 x^{4} + 3 x^{3} + x^{2} - 2 x + 1$ $-\,3^{5}\cdot 1169353$ $S_5^2 \wr C_2$ (as 10T43) trivial $2.07998415618$
10.0.285267739.1 $x^{10} - x^{9} + x^{8} - x^{7} - x^{5} + 3 x^{4} - 4 x^{3} + 4 x^{2} - 2 x + 1$ $-\,285267739$ $S_{10}$ (as 10T45) trivial $0.6944480441748214$
10.0.288806267.1 $x^{10} - x^{9} - x^{8} + 2 x^{7} - x^{5} + x^{3} - x + 1$ $-\,1321\cdot 218627$ $S_{10}$ (as 10T45) trivial $0.7003014151706757$
10.0.290432899.1 $x^{10} - 3 x^{8} - x^{7} + 4 x^{6} + 3 x^{5} - 2 x^{4} - 4 x^{3} + 2 x + 1$ $-\,89\cdot 3263291$ $S_{10}$ (as 10T45) trivial $0.7058632532986308$
10.0.290491759.1 $x^{10} - 3 x^{9} + 5 x^{8} - 5 x^{7} + 5 x^{6} - 6 x^{5} + 6 x^{4} - 3 x^{3} + x^{2} - x + 1$ $-\,290491759$ $S_{10}$ (as 10T45) trivial $0.7034426859963029$
10.0.290954507.1 $x^{10} - x^{9} + 2 x^{8} + 2 x^{7} - x^{6} + 4 x^{5} + 4 x^{4} + 2 x^{2} + 3 x + 1$ $-\,17^{2}\cdot 97^{2}\cdot 107$ $C_2 \wr S_5$ (as 10T39) trivial $0.702250275284$
10.0.291458939.1 $x^{10} - x^{9} + 2 x^{8} - 2 x^{6} + 3 x^{5} - 3 x^{4} + 2 x^{2} - 2 x + 1$ $-\,197\cdot 1479487$ $S_{10}$ (as 10T45) trivial $0.7047631819012555$
10.0.292693979.1 $x^{10} - 3 x^{9} + 4 x^{8} - 3 x^{7} + 3 x^{6} - 4 x^{5} + 3 x^{4} - x + 1$ $-\,127\cdot 239\cdot 9643$ $S_{10}$ (as 10T45) trivial $0.7063782727510773$
10.0.293025059.1 $x^{10} - 2 x^{9} + 3 x^{8} - 4 x^{7} + 5 x^{6} - 6 x^{5} + 8 x^{4} - 8 x^{3} + 6 x^{2} - 3 x + 1$ $-\,293025059$ $S_{10}$ (as 10T45) trivial $0.7066552938338644$
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