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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
9.3.164590951.1	$x^{9} - 2 x^{8} + 3 x^{7} - x^{6} - 2 x^{5} + 5 x^{4} - 4 x^{3} + 2 x - 1$	$9$	[3,3]	$-\,7^{6}\cdot 1399$	$2$	$8.18340405477$	$136.86977413910643$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$2.50715719703$
9.3.177767639.1	$x^{9} - 2 x^{8} + x^{7} + 5 x^{6} - 9 x^{5} + 5 x^{4} + 4 x^{3} - 7 x^{2} + 4 x - 1$	$9$	[3,3]	$-\,7^{6}\cdot 1511$	$2$	$8.25373080901$	$142.24300728044088$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$2.64647196102$
9.3.186238367.1	$x^{9} - x^{8} - x^{7} + 4 x^{6} - 2 x^{5} - 4 x^{4} + 5 x^{3} - x^{2} - 3 x + 1$	$9$	[3,3]	$-\,7^{6}\cdot 1583$	$2$	$8.2965316209$	$145.5925493845782$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$2.79226485823$
9.3.227180219.1	$x^{9} - x^{8} - x^{7} + x^{6} + 3 x^{4} - x^{3} - 3 x^{2} + x + 1$	$9$	[3,3]	$-\,7^{6}\cdot 1931$	$2$	$8.48175283557$	$160.80140172751723$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$3.14520119591$
9.3.233768563.1	$x^{9} - x^{8} + 4 x^{6} - 6 x^{5} + 4 x^{4} + x^{3} - 5 x^{2} + 4 x - 1$	$9$	[3,3]	$-\,7^{6}\cdot 1987$	$2$	$8.50873744947$	$163.11639960832008$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$3.20193443256$
9.3.252121807.1	$x^{9} - x^{8} - 2 x^{7} + 3 x^{5} + 3 x^{4} - 2 x^{3} - 4 x^{2} + 1$	$9$	[3,3]	$-\,7^{6}\cdot 2143$	$2$	$8.58049352465$	$169.3985852147786$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$3.39207951701$
9.3.267314823.1	$x^{9} - 3 x^{8} + 3 x^{7} - 3 x^{5} + 3 x^{4} - x^{3} - 1$	$9$	[3,3]	$-\,3^{12}\cdot 503$	$2$	$8.63646253759$	$97.03885544953614$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$3.38023582086$
9.3.276592799.1	$x^{9} - x^{8} + 3 x^{6} - 3 x^{5} + x^{4} + 2 x^{3} - 2 x^{2} + x - 1$	$9$	[3,3]	$-\,7^{6}\cdot 2351$	$2$	$8.66926580322$	$177.42916466828447$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$3.48999742044$
9.3.390477031.1	$x^{9} - 2 x^{8} - 2 x^{7} + 5 x^{6} + x^{5} - 6 x^{4} + 3 x^{3} + 2 x^{2} - 2 x + 1$	$9$	[3,3]	$-\,7^{6}\cdot 3319$	$2$	$9.00786194192$	$210.815393577772$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$4.45714647628$
9.3.391888819.1	$x^{9} - x^{7} - 3 x^{6} - 2 x^{5} + 2 x^{4} + 4 x^{3} + 2 x^{2} - x - 1$	$9$	[3,3]	$-\,7^{6}\cdot 3331$	$2$	$9.0114748454$	$211.19615618827868$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$4.4097480111$
9.3.449772127.1	$x^{9} - x^{8} - x^{7} - 3 x^{6} - 2 x^{5} + 3 x^{4} + 5 x^{3} + 6 x^{2} + 4 x + 1$	$9$	[3,3]	$-\,7^{6}\cdot 3823$	$2$	$9.15047450532$	$226.2563841799208$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$4.84232576072$
9.3.459654643.1	$x^{9} - 2 x^{8} + 5 x^{6} - 4 x^{5} - 4 x^{3} + 10 x^{2} - 6 x + 1$	$9$	[3,3]	$-\,7^{6}\cdot 3907$	$2$	$9.17259895567$	$228.72856165691698$			?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$5.04467044588$
9.5.467890073.1	$x^{9} - 2 x^{8} + x^{7} + 2 x^{6} - 5 x^{5} + 2 x^{4} + x^{3} - 3 x^{2} + x + 1$	$9$	[5,2]	$7^{6}\cdot 41\cdot 97$	$3$	$9.19071532866$	$230.76847964399414$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$6$	$6.00908707275$
9.3.470948947.1	$x^{9} - x^{8} + x^{7} - 3 x^{6} + x^{4} - x^{3} + 3 x^{2} - x + 1$	$9$	[3,3]	$-\,7^{6}\cdot 4003$	$2$	$9.19737213658$	$231.52158575922272$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$4.90701604568$
9.3.474243119.1	$x^{9} - 2 x^{8} - 2 x^{7} + 6 x^{6} + 2 x^{5} - 7 x^{4} - 3 x^{3} + 2 x^{2} + 3 x + 1$	$9$	[3,3]	$-\,7^{6}\cdot 29\cdot 139$	$3$	$9.20449816248$	$232.32989300623478$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$4.78559767042$
9.3.489302191.1	$x^{9} - 2 x^{8} + 3 x^{7} - 4 x^{6} + 2 x^{5} - 2 x^{4} + x^{2} + x + 1$	$9$	[3,3]	$-\,7^{6}\cdot 4159$	$2$	$9.23652422011$	$235.98975724393753$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$5.09204779522$
9.3.502478879.1	$x^{9} - x^{8} + x^{7} - 5 x^{6} - x^{5} - 4 x^{4} + 2 x^{3} + 2 x^{2} + 3 x + 1$	$9$	[3,3]	$-\,7^{6}\cdot 4271$	$2$	$9.26383621156$	$239.14619706645163$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$5.23406726478$
9.3.503890667.1	$x^{9} - 3 x^{7} - x^{6} + 3 x^{5} + 2 x^{4} - 3 x^{3} - x^{2} + 2 x + 1$	$9$	[3,3]	$-\,7^{6}\cdot 4283$	$2$	$9.2667246182$	$239.48191954863523$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$5.17743112109$
9.3.516029211.1	$x^{9} - 3 x^{8} + 6 x^{7} - 8 x^{6} + 6 x^{5} - 5 x^{3} + 3 x^{2} - 1$	$9$	[3,3]	$-\,3^{12}\cdot 971$	$2$	$9.29126657849$	$134.82526665892632$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$5.13202705863$
9.3.532126427.1	$x^{9} - x^{8} - 2 x^{6} - 2 x^{5} + 3 x^{3} + 5 x^{2} + 2 x + 1$	$9$	[3,3]	$-\,7^{6}\cdot 4523$	$2$	$9.32303260567$	$246.10021165727716$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$5.56730857035$
9.3.612598343.1	$x^{9} - x^{8} - x^{7} + x^{6} - 4 x^{4} + 6 x^{3} - 3 x^{2} + x + 1$	$9$	[3,3]	$-\,7^{6}\cdot 41\cdot 127$	$3$	$9.47006301013$	$264.0538367092416$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$5.61737103747$
9.3.624951488.1	$x^{9} - 2 x^{8} + x^{7} - x^{6} - x^{5} + 6 x^{4} - 10 x^{3} + 11 x^{2} - 5 x + 1$	$9$	[3,3]	$-\,2^{6}\cdot 7^{6}\cdot 83$	$3$	$9.4910935977$	$94.2937120784099$			?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$5.9574360507$
9.3.668599267.1	$x^{9} - 4 x^{8} + 4 x^{7} + 2 x^{6} - 3 x^{5} - 6 x^{4} + 8 x^{3} + x^{2} - 3 x + 1$	$9$	[3,3]	$-\,7^{6}\cdot 5683$	$2$	$9.56255593362$	$275.85923109779816$			?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$6.11084780715$
9.5.672128737.1	$x^{9} - x^{8} - 4 x^{6} + 4 x^{5} + x^{4} - 5 x^{3} + 5 x^{2} + x - 1$	$9$	[5,2]	$7^{6}\cdot 29\cdot 197$	$3$	$9.56815168396$	$276.5863896330595$			?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$6$	$7.55238207911$
9.5.689278977.1	$x^{9} - 3 x^{8} + 9 x^{6} - 9 x^{5} - 6 x^{4} + 11 x^{3} - 3 x + 1$	$9$	[5,2]	$3^{12}\cdot 1297$	$2$	$9.59497599462$	$155.82303573761126$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$6$	$7.6705025888$
9.3.690246683.1	$x^{9} - x^{8} - x^{5} - x^{4} + 2 x^{3} + x^{2} - 3 x + 1$	$9$	[3,3]	$-\,7^{6}\cdot 5867$	$2$	$9.59647181329$	$280.289441016388$			?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$6.49806151404$
9.3.696835027.1	$x^{9} - x^{8} - 4 x^{7} + 4 x^{6} + 7 x^{5} - 10 x^{4} - 2 x^{3} + 7 x^{2} - 2 x - 1$	$9$	[3,3]	$-\,7^{6}\cdot 5923$	$2$	$9.60660639407$	$281.6239332317586$			?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$6.43266152413$
9.3.725541383.1	$x^{9} - x^{8} + x^{6} - 4 x^{5} + 2 x^{4} - x^{3} + x^{2} + x + 1$	$9$	[3,3]	$-\,7^{7}\cdot 881$	$2$	$9.64979352563$	$150.2229620055192$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$6.69118301371$
9.5.741306349.1	$x^{9} - 4 x^{8} + 6 x^{7} - 8 x^{6} + 11 x^{5} - 7 x^{4} + 4 x^{3} - 3 x^{2} - 2 x + 1$	$9$	[5,2]	$7^{6}\cdot 6301$	$2$	$9.67286891182$	$290.4714369409525$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$6$	$8.21022401044$
9.3.756130123.1	$x^{9} - 4 x^{8} + 8 x^{7} - 12 x^{6} + 14 x^{5} - 12 x^{4} + 5 x^{3} + 2 x^{2} - 4 x + 1$	$9$	[3,3]	$-\,7^{6}\cdot 6427$	$2$	$9.694172127$	$293.36131473278306$			?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$6.75170435952$
9.3.760836083.1	$x^{9} - 2 x^{8} + 4 x^{7} - 3 x^{6} + 4 x^{4} - 8 x^{3} + 6 x^{2} - 4 x + 1$	$9$	[3,3]	$-\,7^{6}\cdot 29\cdot 223$	$3$	$9.70085743835$	$294.2728015174411$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$6.68970803844$
9.3.771659791.1	$x^{9} - x^{8} - x^{6} + 2 x^{5} - 4 x^{4} + x^{3} + 2 x - 1$	$9$	[3,3]	$-\,7^{7}\cdot 937$	$2$	$9.71609524465$	$154.9238075701752$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$6.92785095942$
9.3.783071744.1	$x^{9} - 2 x^{8} + x^{7} + x^{6} + x^{5} - 6 x^{4} + 6 x^{3} - x^{2} - 3 x + 1$	$9$	[3,3]	$-\,2^{9}\cdot 7^{6}\cdot 13$	$3$	$9.73195680358$	$62.76071169172559$			?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$7.01525696076$
9.3.810248663.1	$x^{9} - 2 x^{8} + 2 x^{7} - x^{6} - 3 x^{5} + 6 x^{4} - 5 x^{3} + 5 x^{2} - x - 1$	$9$	[3,3]	$-\,7^{6}\cdot 71\cdot 97$	$3$	$9.76891836389$	$303.678282710954$			?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$6.71803838628$
9.5.823660649.1	$x^{9} - x^{8} + 4 x^{6} - 6 x^{5} - 3 x^{4} + 8 x^{3} + 2 x^{2} - 3 x - 1$	$9$	[5,2]	$7^{6}\cdot 7001$	$2$	$9.78675467486$	$306.1813489978226$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$6$	$8.5381469526$
9.3.828601907.1	$x^{9} - 2 x^{8} + 4 x^{7} - 2 x^{6} + x^{5} + 2 x^{3} - 3 x^{2} - x + 1$	$9$	[3,3]	$-\,7^{6}\cdot 7043$	$2$	$9.79326091775$	$307.0983885367384$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$7.22335032674$
9.5.830248993.1	$x^{9} - x^{8} - 2 x^{7} + 3 x^{6} + x^{5} - 6 x^{4} - x^{3} + 5 x^{2} - 1$	$9$	[5,2]	$7^{6}\cdot 7057$	$2$	$9.79542200247$	$307.40346045185186$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$6$	$8.57688308628$
9.3.897779519.1	$x^{9} - 3 x^{7} - 2 x^{6} + 3 x^{5} + 4 x^{4} - 2 x^{3} - 2 x^{2} + x + 1$	$9$	[3,3]	$-\,7^{6}\cdot 13\cdot 587$	$3$	$9.88090292592$	$319.66082805084625$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$7.33085313698$
9.3.930721239.1	$x^{9} - 2 x^{8} + 5 x^{6} - 4 x^{5} + 3 x^{3} - 4 x^{2} + x + 1$	$9$	[3,3]	$-\,3^{3}\cdot 7^{6}\cdot 293$	$3$	$9.92054459835$	$108.4908547648073$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$7.25461739369$
9.3.943897927.1	$x^{9} - 4 x^{8} + 7 x^{7} - 7 x^{6} + 3 x^{5} + 5 x^{4} - 12 x^{3} + 11 x^{2} - 6 x + 1$	$9$	[3,3]	$-\,7^{6}\cdot 71\cdot 113$	$3$	$9.9360528413$	$327.7684062805324$			?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$7.68178369406$
9.5.960133489.1	$x^{9} - 3 x^{8} + 2 x^{7} - x^{5} + 4 x^{4} - 4 x^{3} - 2 x^{2} + 3 x + 1$	$9$	[5,2]	$7^{6}\cdot 8161$	$2$	$9.95489873179$	$330.57528594593737$			?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$6$	$9.71382080416$
9.3.962721767.1	$x^{9} - x^{8} + 2 x^{7} - 4 x^{2} + 4 x - 1$	$9$	[3,3]	$-\,7^{8}\cdot 167$	$2$	$9.95787693192$	$72.8712959897238$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$7.77137506101$
9.3.996604679.1	$x^{9} - 2 x^{8} + 2 x^{7} - 2 x^{6} + 3 x^{5} + 2 x^{4} - 2 x - 1$	$9$	[3,3]	$-\,7^{6}\cdot 43\cdot 197$	$3$	$9.99622171597$	$336.795309267891$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$7.90922921706$
9.3.1014487327.1	$x^{9} - 2 x^{7} - 4 x^{6} - x^{5} + 3 x^{4} + 4 x^{3} + 6 x^{2} + 5 x + 1$	$9$	[3,3]	$-\,7^{6}\cdot 8623$	$2$	$10.0159943199$	$339.80353018078574$			?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$7.79001305311$
9.3.1017781499.1	$x^{9} - 3 x^{8} + 6 x^{7} - 8 x^{6} + 8 x^{5} - 6 x^{4} + x^{3} + x^{2} - 2 x + 1$	$9$	[3,3]	$-\,7^{6}\cdot 41\cdot 211$	$3$	$10.0196028079$	$340.35477613094776$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$7.51460073969$
9.5.1021310969.1	$x^{9} - x^{8} + 3 x^{7} - 6 x^{6} + 2 x^{5} - 4 x^{4} + x^{3} + 5 x^{2} - x - 1$	$9$	[5,2]	$7^{6}\cdot 8681$	$2$	$10.023457543$	$340.94440776104506$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$6$	$9.79641964427$
9.3.1046605504.1	$x^{9} - 4 x^{8} + 8 x^{7} - 13 x^{6} + 19 x^{5} - 21 x^{4} + 15 x^{3} - 10 x^{2} + 5 x - 1$	$9$	[3,3]	$-\,2^{6}\cdot 7^{6}\cdot 139$	$3$	$10.0507417177$	$122.02563798931877$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$8.15106613361$
9.3.1047429047.1	$x^{9} - 2 x^{8} + 3 x^{6} - 6 x^{5} + 11 x^{4} - 5 x^{3} - 4 x^{2} + 4 x - 1$	$9$	[3,3]	$-\,7^{6}\cdot 29\cdot 307$	$3$	$10.0516201474$	$345.27638819003835$			?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$7.49267545182$
9.5.1058958649.1	$x^{9} + 2 x^{7} - 4 x^{6} - x^{5} - 3 x^{4} + 2 x^{3} + 6 x^{2} - 5 x + 1$	$9$	[5,2]	$7^{6}\cdot 9001$	$2$	$10.0638541356$	$347.17150665476555$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$6$	$10.4133226688$
9.3.1075664807.1	$x^{9} - 3 x^{8} + 3 x^{7} - 5 x^{6} + 8 x^{5} - 4 x^{4} + 3 x^{3} - 3 x^{2} + 1$	$9$	[3,3]	$-\,7^{6}\cdot 41\cdot 223$	$3$	$10.0813725064$	$349.8992835497319$			✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$5$	$7.96802552034$

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