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Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	Galois root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
10.0.209352647.1	$x^{10} - 3 x^{9} + 7 x^{8} - 11 x^{7} + 13 x^{6} - 12 x^{5} + 9 x^{4} - 5 x^{3} + 3 x^{2} - 2 x + 1$	$10$	[0,5]	$-\,7^{2}\cdot 23\cdot 431^{2}$	$3$	$6.79341030426$	$263.4217151261452$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	$2$	$4$	$0.568036883757$
10.0.212309359.1	$x^{10} - 3 x^{9} + 5 x^{8} - 7 x^{7} + 9 x^{6} - 10 x^{5} + 9 x^{4} - 7 x^{3} + 5 x^{2} - 2 x + 1$	$10$	[0,5]	$-\,31\cdot 2617^{2}$	$2$	$6.80294428088$	$284.8280182847186$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	$2$	$4$	$0.572857558707$
10.0.214816879.1	$x^{10} - 2 x^{9} + 4 x^{8} - 7 x^{7} + 9 x^{6} - 10 x^{5} + 10 x^{4} - 8 x^{3} + 6 x^{2} - 3 x + 1$	$10$	[0,5]	$-\,17^{2}\cdot 79\cdot 97^{2}$	$3$	$6.81093664096$	$360.93074127871125$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	$2$	$4$	$0.577674891408$
10.0.215067767.1	$x^{10} - x^{9} - x^{8} + 2 x^{7} + x^{6} - 3 x^{5} + 3 x^{3} - x^{2} - x + 1$	$10$	[0,5]	$-\,215067767$	$1$	$6.81173168317$	$14665.188952072864$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.5781462354099604$
10.0.216670707.1	$x^{10} - 3 x^{9} + 5 x^{8} - 6 x^{7} + 6 x^{6} - 4 x^{5} + 2 x^{4} - x^{3} + x^{2} - x + 1$	$10$	[0,5]	$-\,3^{5}\cdot 11^{2}\cdot 7369$	$3$	$6.8167916456$	$493.1298003568634$			✓	$S_5^2 \wr C_2$ (as 10T43)	trivial	$6$	$4$	$1.74293786533$
10.0.220168975.1	$x^{10} - x^{9} - x^{8} + 2 x^{7} - x^{6} - x^{5} + 4 x^{4} - x^{3} - 3 x^{2} + x + 1$	$10$	[0,5]	$-\,5^{2}\cdot 13^{2}\cdot 31\cdot 41^{2}$	$4$	$6.82771857501$	$287.42825191689144$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	$2$	$4$	$0.586605631071$
10.0.220506347.1	$x^{10} - 3 x^{9} + 5 x^{8} - 5 x^{7} + 3 x^{6} - x^{4} + x^{3} - x + 1$	$10$	[0,5]	$-\,37\cdot 677\cdot 8803$	$3$	$6.82876408755$	$14849.456117986274$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.5880175904588231$
10.0.224198759.1	$x^{10} - x^{9} - 2 x^{8} + 4 x^{7} - 4 x^{5} + 3 x^{4} + x^{3} - 2 x^{2} + 1$	$10$	[0,5]	$-\,71\cdot 1777^{2}$	$2$	$6.84011369338$	$355.19994369368925$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	$2$	$4$	$0.59340069383$
10.0.224415603.1	$x^{10} + 2 x^{8} - 3 x^{7} + 3 x^{6} - 7 x^{5} + 8 x^{4} - 7 x^{3} + 7 x^{2} - 4 x + 1$	$10$	[0,5]	$-\,3^{5}\cdot 31^{4}$	$2$	$6.84077497824$	$27.01779999660944$			✓	$D_5\times C_5$ (as 10T6)	trivial	$6$	$4$	$1.78149530531$
10.0.226173952.1	$x^{10} - x^{8} - 2 x^{7} - x^{6} + 2 x^{5} + 2 x^{4} - x^{2} + 1$	$10$	[0,5]	$-\,2^{10}\cdot 220873$	$2$	$6.84611608122$	$939.9425514359907$			?	$S_5^2 \wr C_2$ (as 10T43)	trivial	$4$	$4$	$1.19443787527$
10.0.226876987.1	$x^{10} - 2 x^{9} + 3 x^{8} - 3 x^{7} + 2 x^{6} + x^{5} - x^{4} - 3 x^{3} + 6 x^{2} - 4 x + 1$	$10$	[0,5]	$-\,43\cdot 2297^{2}$	$2$	$6.8482411447$	$314.2785388791287$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	$2$	$4$	$0.597809920275$
10.0.227991979.1	$x^{10} - x^{9} - x^{8} + 3 x^{7} - x^{6} - 3 x^{5} + 3 x^{4} + x^{3} - 2 x^{2} + 1$	$10$	[0,5]	$-\,599\cdot 380621$	$2$	$6.85159930803$	$15099.4032663546$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.5998219105603662$
10.0.229203619.1	$x^{10} - x^{9} + 2 x^{8} - 3 x^{7} + 4 x^{6} - 4 x^{5} + 4 x^{4} - 4 x^{3} + 3 x^{2} - 2 x + 1$	$10$	[0,5]	$-\,229203619$	$1$	$6.85523184156$	$15139.472216692364$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.6020080437571057$
10.0.229345007.1	$x^{10} - x^{9} + 6 x^{8} - 3 x^{7} + 11 x^{6} - 3 x^{5} + 11 x^{4} - 3 x^{3} + 6 x^{2} - x + 1$	$10$	[0,5]	$-\,47^{5}$	$1$	$6.8556546004$	$6.855654600401044$		✓	?	$D_5$ (as 10T2)	trivial	$2$	$4$	$0.60186322759$
10.0.233043179.1	$x^{10} - x^{9} + 2 x^{8} - 4 x^{7} + 4 x^{6} - 5 x^{5} + 5 x^{4} - 4 x^{3} + 3 x^{2} - x + 1$	$10$	[0,5]	$-\,97\cdot 463\cdot 5189$	$3$	$6.86662988937$	$15265.75183212409$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.6084964369407401$
10.0.236184579.1	$x^{10} - 3 x^{9} + 5 x^{8} - 7 x^{7} + 7 x^{6} - 6 x^{5} + 4 x^{4} - 2 x^{3} + x^{2} + 1$	$10$	[0,5]	$-\,3^{5}\cdot 37\cdot 109\cdot 241$	$4$	$6.87583036876$	$1707.5886507001621$			✓	$S_5^2 \wr C_2$ (as 10T43)	trivial	$6$	$4$	$1.84211740914$
10.0.236438047.1	$x^{10} - 2 x^{9} + x^{8} + 2 x^{7} - 3 x^{6} + x^{5} + x^{4} - x + 1$	$10$	[0,5]	$-\,236438047$	$1$	$6.87656791137$	$15376.542101525947$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.614960446273$
10.0.240232739.1	$x^{10} - 2 x^{9} + 2 x^{8} - 2 x^{6} + 4 x^{5} - 4 x^{4} + x^{3} + 3 x^{2} - 3 x + 1$	$10$	[0,5]	$-\,467\cdot 514417$	$2$	$6.88752549237$	$15499.44318354695$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.622824662223$
10.0.243226747.1	$x^{10} - 3 x^{9} + 4 x^{8} - 3 x^{7} + 2 x^{6} - x^{5} + x^{4} - 2 x^{3} + 3 x^{2} - 2 x + 1$	$10$	[0,5]	$-\,243226747$	$1$	$6.89606161454$	$15595.728485710439$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.6261475736016512$
10.0.243415027.1	$x^{10} - x^{7} + x^{6} + 2 x^{5} - x^{3} - 2 x^{2} + 1$	$10$	[0,5]	$-\,17\cdot 14318531$	$2$	$6.89659524764$	$15601.763586210374$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.6267229276822098$
10.0.244175707.1	$x^{10} - x^{9} + x^{7} - x^{6} - x^{4} + x^{3} + x^{2} - x + 1$	$10$	[0,5]	$-\,19^{2}\cdot 676387$	$2$	$6.89874743162$	$5855.985957420638$			?	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.6277987643994235$
10.0.246071287.1	$x^{10} - 3 x^{9} + 7 x^{8} - 12 x^{7} + 15 x^{6} - 15 x^{5} + 12 x^{4} - 7 x^{3} + 4 x^{2} - 2 x + 1$	$10$	[0,5]	$-\,7^{5}\cdot 11^{4}$	$2$	$6.90408443551$	$18.016198912314337$			✓	$D_5\times C_5$ (as 10T6)	trivial	$2$	$4$	$0.634803768223$
10.0.246944619.1	$x^{10} - x^{9} + x^{6} - x^{5} - x^{4} + 3 x^{3} - x^{2} - x + 1$	$10$	[0,5]	$-\,3^{5}\cdot 73\cdot 13921$	$3$	$6.90653086059$	$1746.0524047118402$			✓	$S_5^2 \wr C_2$ (as 10T43)	trivial	$6$	$4$	$1.90076515959$
10.0.250679267.1	$x^{10} - x^{9} - 2 x^{8} + x^{7} + 3 x^{6} - 2 x^{4} - 2 x^{3} + 2 x + 1$	$10$	[0,5]	$-\,250679267$	$1$	$6.91690548889$	$15832.854038359603$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.6409749870444131$
10.0.252486127.1	$x^{10} - x^{9} + 2 x^{8} - 4 x^{7} + 4 x^{6} - 4 x^{5} + 5 x^{4} - 3 x^{3} + 2 x^{2} - 2 x + 1$	$10$	[0,5]	$-\,787\cdot 320821$	$2$	$6.92187499705$	$15889.812050493234$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.642537334981687$
10.0.254121139.1	$x^{10} - 2 x^{8} - x^{7} + 2 x^{6} + 3 x^{5} - 3 x^{3} - x^{2} + x + 1$	$10$	[0,5]	$-\,149\cdot 991\cdot 1721$	$3$	$6.92634435313$	$15941.177465921393$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.6480210196495108$
10.0.260270739.1	$x^{10} - x^{8} - 2 x^{7} + x^{6} + 3 x^{5} - 2 x^{4} - 4 x^{3} + x^{2} + 3 x + 1$	$10$	[0,5]	$-\,3^{5}\cdot 163\cdot 6571$	$3$	$6.9429259695$	$1792.545396914678$			✓	$S_5^2 \wr C_2$ (as 10T43)	trivial	$6$	$4$	$1.96704129047$
10.0.262091507.1	$x^{10} - x^{9} - 2 x^{6} + 3 x^{5} + 3 x^{4} - 4 x^{3} - 2 x^{2} + 2 x + 1$	$10$	[0,5]	$-\,83\cdot 1777^{2}$	$2$	$6.94776778804$	$384.0455702127027$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	$2$	$4$	$0.656821013577$
10.0.262477979.1	$x^{10} - x^{9} + x^{8} - 2 x^{6} + x^{5} - x^{4} + x^{2} + 1$	$10$	[0,5]	$-\,251\cdot 1045729$	$2$	$6.94879160514$	$16201.17214895268$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.6577090020502393$
10.0.262864627.1	$x^{10} - 2 x^{8} - x^{7} + x^{6} + 2 x^{5} - x^{4} - 2 x^{3} + x^{2} + x + 1$	$10$	[0,5]	$-\,353\cdot 744659$	$2$	$6.94981453173$	$16213.100474616198$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.6619032898743505$
10.0.262909719.1	$x^{10} - x^{8} - x^{7} - 2 x^{6} + 4 x^{4} + x^{3} - 2 x^{2} + 1$	$10$	[0,5]	$-\,3^{5}\cdot 73\cdot 14821$	$3$	$6.94993374018$	$1801.610113204297$			✓	$S_5^2 \wr C_2$ (as 10T43)	trivial	$6$	$4$	$1.97569183141$
10.0.263786699.1	$x^{10} - 2 x^{9} + 2 x^{8} - 2 x^{7} + 4 x^{6} - 5 x^{5} + 4 x^{4} - 2 x^{3} + 3 x^{2} - 3 x + 1$	$10$	[0,5]	$-\,11\cdot 59^{2}\cdot 83^{2}$	$3$	$6.95224853606$	$232.09265391218224$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	$2$	$4$	$0.663236848943$
10.0.268043264.1	$x^{10} - 2 x^{9} + 3 x^{8} - 6 x^{7} + 6 x^{6} - 6 x^{5} + 7 x^{4} - 4 x^{3} + 3 x^{2} - 2 x + 1$	$10$	[0,5]	$-\,2^{10}\cdot 261761$	$2$	$6.96338631704$	$1023.2516796956651$			✓	$S_5^2 \wr C_2$ (as 10T43)	trivial	$4$	$4$	$1.33676061738$
10.0.274127275.1	$x^{10} - x^{9} + x^{8} - 3 x^{7} + 3 x^{6} - x^{5} + 3 x^{4} - 3 x^{3} + 1$	$10$	[0,5]	$-\,5^{2}\cdot 59\cdot 185849$	$3$	$6.9790325665$	$7404.42131432295$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.6754062116693342$
10.0.274550779.1	$x^{10} - x^{9} + 2 x^{8} - 2 x^{7} + 3 x^{6} - 3 x^{5} + 3 x^{4} - 3 x^{3} + 2 x^{2} - 2 x + 1$	$10$	[0,5]	$-\,19\cdot 14450041$	$2$	$6.98011002054$	$16569.57389313316$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.6811521995711005$
10.0.277010267.1	$x^{10} - 2 x^{9} + x^{8} + 2 x^{7} - 3 x^{6} + 3 x^{5} - 2 x^{4} + 3 x^{2} - 3 x + 1$	$10$	[0,5]	$-\,107\cdot 1609^{2}$	$2$	$6.98633789626$	$414.9252944808258$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	$2$	$4$	$0.679993136866$
10.0.278005859.1	$x^{10} - x^{9} - x^{8} + 4 x^{7} - 2 x^{6} - 3 x^{5} + 4 x^{4} - 2 x^{2} + 1$	$10$	[0,5]	$-\,278005859$	$1$	$6.98884477745$	$16673.50769934149$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.6840713547835329$
10.0.278645219.1	$x^{10} + 3 x^{8} - x^{7} + 4 x^{6} - x^{5} + 4 x^{4} + 2 x^{2} + 1$	$10$	[0,5]	$-\,317\cdot 879007$	$2$	$6.99045041632$	$16692.669618727858$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.6850935429811508$
10.0.281268947.1	$x^{10} + 3 x^{8} - x^{7} + 4 x^{6} - x^{5} + 4 x^{4} - x^{3} + 2 x^{2} - x + 1$	$10$	[0,5]	$-\,281268947$	$1$	$6.99700491098$	$16771.07471213458$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.6911023529825022$
10.0.282748447.1	$x^{10} - x^{9} - 2 x^{8} + 3 x^{7} + 2 x^{6} - 5 x^{5} + x^{4} + 4 x^{3} - 2 x^{2} - x + 1$	$10$	[0,5]	$-\,282748447$	$1$	$7.00067671564$	$16815.125542201582$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.689666096131428$
10.0.283885691.1	$x^{10} - x^{9} + 2 x^{8} - 4 x^{7} + 3 x^{6} - 4 x^{5} + 3 x^{4} - 2 x^{3} + 2 x^{2} + 1$	$10$	[0,5]	$-\,8941\cdot 31751$	$2$	$7.00348737806$	$16848.907709403597$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.6905689191175234$
10.0.284152779.1	$x^{10} - x^{9} - 2 x^{8} + 3 x^{7} + 2 x^{6} - 3 x^{5} - 2 x^{4} + 3 x^{3} + x^{2} - 2 x + 1$	$10$	[0,5]	$-\,3^{5}\cdot 1169353$	$2$	$7.00414600793$	$1872.9813133077437$			✓	$S_5^2 \wr C_2$ (as 10T43)	trivial	$6$	$4$	$2.07998415618$
10.0.285267739.1	$x^{10} - x^{9} + x^{8} - x^{7} - x^{5} + 3 x^{4} - 4 x^{3} + 4 x^{2} - 2 x + 1$	$10$	[0,5]	$-\,285267739$	$1$	$7.00688945735$	$16889.870899447396$			?	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.6944480441748214$
10.0.288806267.1	$x^{10} - x^{9} - x^{8} + 2 x^{7} - x^{5} + x^{3} - x + 1$	$10$	[0,5]	$-\,1321\cdot 218627$	$2$	$7.01553283007$	$16994.301015340407$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.7003014151706757$
10.0.290432899.1	$x^{10} - 3 x^{8} - x^{7} + 4 x^{6} + 3 x^{5} - 2 x^{4} - 4 x^{3} + 2 x + 1$	$10$	[0,5]	$-\,89\cdot 3263291$	$2$	$7.01947418146$	$17042.091978392793$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.7058632532986308$
10.0.290491759.1	$x^{10} - 3 x^{9} + 5 x^{8} - 5 x^{7} + 5 x^{6} - 6 x^{5} + 6 x^{4} - 3 x^{3} + x^{2} - x + 1$	$10$	[0,5]	$-\,290491759$	$1$	$7.01961642725$	$17043.818791573678$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.7034426859963029$
10.0.290954507.1	$x^{10} - x^{9} + 2 x^{8} + 2 x^{7} - x^{6} + 4 x^{5} + 4 x^{4} + 2 x^{2} + 3 x + 1$	$10$	[0,5]	$-\,17^{2}\cdot 97^{2}\cdot 107$	$3$	$7.02073383839$	$420.05118735696965$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	$2$	$4$	$0.702250275284$
10.0.291458939.1	$x^{10} - x^{9} + 2 x^{8} - 2 x^{6} + 3 x^{5} - 3 x^{4} + 2 x^{2} - 2 x + 1$	$10$	[0,5]	$-\,197\cdot 1479487$	$2$	$7.02195008451$	$17072.168550011447$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.7047631819012555$
10.0.292693979.1	$x^{10} - 3 x^{9} + 4 x^{8} - 3 x^{7} + 3 x^{6} - 4 x^{5} + 3 x^{4} - x + 1$	$10$	[0,5]	$-\,127\cdot 239\cdot 9643$	$3$	$7.02491993562$	$17108.30146449378$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.7063782727510773$
10.0.293025059.1	$x^{10} - 2 x^{9} + 3 x^{8} - 4 x^{7} + 5 x^{6} - 6 x^{5} + 8 x^{4} - 8 x^{3} + 6 x^{2} - 3 x + 1$	$10$	[0,5]	$-\,293025059$	$1$	$7.02571415335$	$17117.974734179275$			✓	$S_{10}$ (as 10T45)	trivial	$2$	$4$	$0.7066552938338644$

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