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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	Narrow 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	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	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	trivial	$2$	$4$	$0.577674891408$
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	trivial	$2$	$4$	$0.586605631071$
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	trivial	$2$	$4$	$0.59340069383$
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	trivial	$2$	$4$	$0.597809920275$
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	trivial	$2$	$4$	$0.656821013577$
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	trivial	$2$	$4$	$0.663236848943$
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	trivial	$2$	$4$	$0.679993136866$
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	trivial	$2$	$4$	$0.702250275284$
10.0.325246087.1	$x^{10} - 3 x^{9} + 6 x^{8} - 10 x^{7} + 13 x^{6} - 13 x^{5} + 11 x^{4} - 8 x^{3} + 5 x^{2} - 2 x + 1$	$10$	[0,5]	$-\,103\cdot 1777^{2}$	$2$	$7.09939283685$	$427.82122434493596$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$0.752440468285$
10.0.328787887.1	$x^{10} - 2 x^{9} + 3 x^{8} - 3 x^{7} + 5 x^{6} - 6 x^{5} + 3 x^{4} - 3 x^{3} + 3 x^{2} - x + 1$	$10$	[0,5]	$-\,127\cdot 1609^{2}$	$2$	$7.10708616721$	$452.04313953427055$			?	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$0.761759694633$
10.0.328787887.2	$x^{10} - 2 x^{9} + 3 x^{6} - x^{5} - x^{4} - 2 x^{3} + 2 x^{2} + 1$	$10$	[0,5]	$-\,127\cdot 1609^{2}$	$2$	$7.10708616721$	$452.04313953427055$			?	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$0.76915406635$
10.0.330230659.1	$x^{10} - x^{9} + x^{8} + 2 x^{7} - 3 x^{6} + 2 x^{5} - 2 x^{3} + x^{2} - x + 1$	$10$	[0,5]	$-\,11^{2}\cdot 19\cdot 379^{2}$	$3$	$7.11019872499$	$281.4444883098619$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$0.770950046286$
10.0.339143411.1	$x^{10} - 3 x^{9} + 5 x^{8} - 6 x^{7} + 6 x^{6} - 4 x^{5} + x^{4} + 2 x^{3} - 2 x^{2} + 1$	$10$	[0,5]	$-\,131\cdot 1609^{2}$	$2$	$7.12915961712$	$459.10674140116913$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$0.777396737365$
10.0.359854459.1	$x^{10} - 3 x^{9} + 6 x^{8} - 9 x^{7} + 11 x^{6} - 10 x^{5} + 8 x^{4} - 5 x^{3} + 3 x^{2} - 2 x + 1$	$10$	[0,5]	$-\,139\cdot 1609^{2}$	$2$	$7.17154435557$	$472.9175403809844$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$0.81336454205$
10.0.364067099.1	$x^{10} - x^{9} - 2 x^{6} + x^{5} + 2 x^{4} - 2 x^{3} + 3 x^{2} - 2 x + 1$	$10$	[0,5]	$-\,11^{3}\cdot 523^{2}$	$2$	$7.17989583039$	$138.13233661570564$			?	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$0.826936802139$
10.0.370209983.1	$x^{10} + 2 x^{8} + 3 x^{6} - x^{5} + 3 x^{4} + 2 x^{2} + 1$	$10$	[0,5]	$-\,11\cdot 13\cdot 1609^{2}$	$3$	$7.19191941593$	$479.6738475255869$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$0.824223583763$
10.0.377968939.1	$x^{10} - 2 x^{9} + 4 x^{8} - 5 x^{7} + 5 x^{6} - 6 x^{5} + 7 x^{4} - 4 x^{3} + 3 x^{2} - 3 x + 1$	$10$	[0,5]	$-\,17^{2}\cdot 97^{2}\cdot 139$	$3$	$7.20685212745$	$478.75985629540827$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$0.830618920882$
10.0.379908823.1	$x^{10} + x^{8} - x^{7} - x^{5} - x^{3} + x^{2} + 1$	$10$	[0,5]	$-\,7\cdot 53^{2}\cdot 139^{2}$	$3$	$7.21054244994$	$227.08808863522543$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$0.856501846271$
10.0.386633299.1	$x^{10} - x^{9} + 2 x^{8} - 2 x^{7} + 2 x^{6} - 3 x^{5} + 2 x^{4} - 2 x^{3} + 2 x^{2} - x + 1$	$10$	[0,5]	$-\,13^{2}\cdot 19\cdot 347^{2}$	$3$	$7.22320474844$	$292.76099466971345$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$0.843223617742$
10.0.386864567.1	$x^{10} - x^{9} + 3 x^{8} - x^{7} + 4 x^{6} + 5 x^{4} + x^{3} + 3 x^{2} + x + 1$	$10$	[0,5]	$-\,19^{2}\cdot 47\cdot 151^{2}$	$3$	$7.22363669433$	$367.2097493259132$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$0.840987825694$
10.0.432343127.1	$x^{10} - 3 x^{9} + 5 x^{8} - 5 x^{7} + 5 x^{6} - 6 x^{5} + 7 x^{4} - 5 x^{3} + 3 x^{2} - 2 x + 1$	$10$	[0,5]	$-\,167\cdot 1609^{2}$	$2$	$7.30437154456$	$518.3657010258298$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$0.905139783856$
10.0.437865967.1	$x^{10} - x^{9} - x^{8} + 2 x^{7} + 2 x^{6} - 5 x^{5} + 2 x^{4} + 2 x^{3} - x^{2} - x + 1$	$10$	[0,5]	$-\,7\cdot 11^{2}\cdot 719^{2}$	$3$	$7.31364909208$	$235.29343382253572$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$0.935373385345$
10.0.437925347.1	$x^{10} - 3 x^{9} + 6 x^{8} - 10 x^{7} + 14 x^{6} - 15 x^{5} + 14 x^{4} - 10 x^{3} + 6 x^{2} - 3 x + 1$	$10$	[0,5]	$-\,83\cdot 2297^{2}$	$2$	$7.31374826808$	$436.6360040124955$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$0.904836799867$
10.0.440866291.1	$x^{10} - x^{9} + x^{8} - 3 x^{7} + 3 x^{6} - x^{5} + 3 x^{4} - 3 x^{3} + x^{2} - x + 1$	$10$	[0,5]	$-\,19\cdot 4817^{2}$	$2$	$7.3186451295$	$302.52768468356743$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$0.924915033309$
10.0.443229763.1	$x^{10} - 3 x^{9} + 4 x^{8} - 4 x^{7} + 4 x^{6} - 5 x^{4} + 4 x^{3} - x + 1$	$10$	[0,5]	$-\,17^{2}\cdot 97^{2}\cdot 163$	$3$	$7.32255920172$	$518.446718573857$			?	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$0.943232786232$
10.0.449448427.1	$x^{10} - 2 x^{9} + 2 x^{8} - 3 x^{7} + 8 x^{6} - 11 x^{5} + 8 x^{4} - 3 x^{3} + 2 x^{2} - 2 x + 1$	$10$	[0,5]	$-\,43\cdot 53^{2}\cdot 61^{2}$	$3$	$7.33276870618$	$372.8525177600387$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$0.932430924092$
10.0.454106567.1	$x^{10} - 2 x^{9} + 2 x^{8} - x^{7} + 2 x^{6} - 3 x^{5} + x^{4} + 2 x^{3} - x^{2} - x + 1$	$10$	[0,5]	$-\,17^{2}\cdot 97^{2}\cdot 167$	$3$	$7.34033326652$	$524.7694731975174$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$0.940846654649$
10.0.476322007.1	$x^{10} - x^{9} - 2 x^{8} + 4 x^{7} + x^{6} - 5 x^{5} + x^{4} + 4 x^{3} - x^{2} - 2 x + 1$	$10$	[0,5]	$-\,7\cdot 73^{2}\cdot 113^{2}$	$3$	$7.37547617968$	$240.29773199096158$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$1.00383062843$
10.0.484120747.1	$x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - 4 x^{5} + 3 x^{4} - x^{3} + x + 1$	$10$	[0,5]	$-\,11\cdot 17\cdot 1609^{2}$	$3$	$7.38746386304$	$548.5280302773962$			?	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$0.980166278371$
10.0.484176016.1	$x^{10} - x^{8} + x^{6} + 2 x^{2} + 1$	$10$	[0,5]	$-\,2^{4}\cdot 5501^{2}$	$2$	$7.3875481967$	$209.78083801910984$			?	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$1.08216442445$
10.0.485605687.1	$x^{10} - 3 x^{9} + 5 x^{8} - 6 x^{7} + 7 x^{6} - 7 x^{5} + 6 x^{4} - 5 x^{3} + 4 x^{2} - 2 x + 1$	$10$	[0,5]	$-\,7\cdot 8329^{2}$	$2$	$7.3897266928$	$241.46014163832507$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$1.01495612987$
10.0.486045407.1	$x^{10} - x^{9} + 2 x^{8} - 4 x^{7} + 5 x^{6} - 6 x^{5} + 7 x^{4} - 6 x^{3} + 5 x^{2} - 3 x + 1$	$10$	[0,5]	$-\,23\cdot 4597^{2}$	$2$	$7.3903955662$	$325.16303602962006$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$1.08406425262$
10.0.486736979.1	$x^{10} - 2 x^{9} + 3 x^{8} - 4 x^{7} + 7 x^{6} - 10 x^{5} + 9 x^{4} - 4 x^{3} + x^{2} - x + 1$	$10$	[0,5]	$-\,17^{2}\cdot 97^{2}\cdot 179$	$3$	$7.39144643944$	$543.2964200139736$			?	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$0.9800046881$
10.0.486736979.2	$x^{10} - 2 x^{9} - 2 x^{8} + 4 x^{7} + 4 x^{6} - 4 x^{5} - 4 x^{4} + x^{3} + x^{2} + x + 1$	$10$	[0,5]	$-\,17^{2}\cdot 97^{2}\cdot 179$	$3$	$7.39144643944$	$543.2964200139736$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$0.974241656128$
10.0.501239855.1	$x^{10} - x^{9} - x^{8} + x^{7} + x^{5} + x^{4} - 2 x^{3} - x^{2} + x + 1$	$10$	[0,5]	$-\,5\cdot 19\cdot 2297^{2}$	$3$	$7.41318024205$	$467.1348841608813$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$1.05729447918$
10.0.508490587.1	$x^{10} + 2 x^{8} - x^{7} + 4 x^{6} - x^{5} + 4 x^{4} - x^{3} + 2 x^{2} + 1$	$10$	[0,5]	$-\,11\cdot 17^{3}\cdot 97^{2}$	$3$	$7.42383467466$	$273.4757995565215$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$0.998345765058$
10.0.514709827.1	$x^{10} - 4 x^{9} + 9 x^{8} - 14 x^{7} + 16 x^{6} - 13 x^{5} + 8 x^{4} - 4 x^{3} + 2 x^{2} - x + 1$	$10$	[0,5]	$-\,163\cdot 1777^{2}$	$2$	$7.43286501771$	$538.1923447987717$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$1.01758301301$
10.0.526794304.1	$x^{10} - 4 x^{9} + 8 x^{8} - 9 x^{7} + 8 x^{6} - 8 x^{5} + 8 x^{4} - 4 x^{3} + x^{2} - x + 1$	$10$	[0,5]	$-\,2^{6}\cdot 19^{2}\cdot 151^{2}$	$3$	$7.45013439281$	$214.25218785347326$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$1.13996042827$
10.0.526794304.2	$x^{10} + 3 x^{6} - x^{4} + 4 x^{2} + 1$	$10$	[0,5]	$-\,2^{6}\cdot 19^{2}\cdot 151^{2}$	$3$	$7.45013439281$	$180.16389672625112$			?	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$1.0369077211$
10.0.530439175.1	$x^{10} - x^{9} + x^{7} + x^{6} - 3 x^{5} + x^{4} + x^{3} - x + 1$	$10$	[0,5]	$-\,5^{2}\cdot 7\cdot 1741^{2}$	$3$	$7.4552731348$	$246.8501569778719$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$1.053486414$
10.0.546253891.1	$x^{10} - 2 x^{9} + 2 x^{8} - x^{7} - 2 x^{6} + 2 x^{5} - 2 x^{3} + 4 x^{2} - 2 x + 1$	$10$	[0,5]	$-\,211\cdot 1609^{2}$	$2$	$7.47720786893$	$582.6654271535252$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$1.05442559996$
10.0.552906407.1	$x^{10} - x^{9} + 2 x^{8} - 3 x^{7} + 3 x^{6} - 3 x^{5} + 3 x^{4} - 3 x^{3} + 2 x^{2} - x + 1$	$10$	[0,5]	$-\,23\cdot 4903^{2}$	$2$	$7.48626441349$	$335.8109587252923$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$1.04972698416$
10.0.562874607.1	$x^{10} - 4 x^{9} + 8 x^{8} - 11 x^{7} + 14 x^{6} - 15 x^{5} + 11 x^{4} - 4 x^{3} + x^{2} - x + 1$	$10$	[0,5]	$-\,3^{2}\cdot 17^{2}\cdot 23\cdot 97^{2}$	$4$	$7.49965293275$	$337.31439340769316$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$1.07103275549$
10.0.562973339.1	$x^{10} - x^{9} + 3 x^{8} - 2 x^{7} + 6 x^{6} - 3 x^{5} + 6 x^{4} - 2 x^{3} + 4 x^{2} + 1$	$10$	[0,5]	$-\,59\cdot 3089^{2}$	$2$	$7.49978447134$	$426.9086553350728$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$1.0804509124$
10.0.587675987.1	$x^{10} - 2 x^{8} + 2 x^{6} - x^{5} - 2 x^{4} - x^{3} + x^{2} + 2 x + 1$	$10$	[0,5]	$-\,227\cdot 1609^{2}$	$2$	$7.53206040953$	$604.3533734496731$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$1.11466952529$
10.0.590495323.1	$x^{10} - x^{9} + 2 x^{8} - 2 x^{7} + 2 x^{6} - 3 x^{5} + 3 x^{4} - 4 x^{3} + 4 x^{2} - 2 x + 1$	$10$	[0,5]	$-\,11\cdot 17\cdot 1777^{2}$	$3$	$7.53566608756$	$576.4538142817688$			?	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$1.09025803881$
10.0.592440064.1	$x^{10} - x^{9} + 3 x^{8} - 4 x^{7} + 5 x^{6} - 7 x^{5} + 7 x^{4} - 6 x^{3} + 5 x^{2} - 3 x + 1$	$10$	[0,5]	$-\,2^{8}\cdot 19\cdot 349^{2}$	$3$	$7.5381442181$	$141.77952286935127$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$1.22778512725$
10.0.621349399.1	$x^{10} - x^{9} - x^{8} + 3 x^{6} - 2 x^{5} - 3 x^{4} + 4 x^{3} - x + 1$	$10$	[0,5]	$-\,11^{4}\cdot 31\cdot 37^{2}$	$3$	$7.57414453312$	$167.5110647172689$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$4$	$1.26310066768$

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