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Results (1-50 of 2762 matches)

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Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	Galois root discriminant	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
9.7.1904081383.1	$x^{9} - x^{8} - 5 x^{7} + 6 x^{6} + 5 x^{5} - 11 x^{4} + 5 x^{3} + 6 x^{2} - 6 x + 1$	$9$	[7,1]	$-\,37\cdot 51461659$	$2$	$10.7417778723$	$43635.780994500376$	✓	$S_9$ (as 9T34)	trivial	$2$	$7$	$18.0874606099$
9.7.2155688911.1	$x^{9} - 3 x^{8} - x^{7} + 7 x^{6} - x^{4} - 5 x^{3} - 4 x^{2} + 4 x + 1$	$9$	[7,1]	$-\,337\cdot 6396703$	$2$	$10.8909338662$	$46429.39705617552$	✓	$S_9$ (as 9T34)	trivial	$2$	$7$	$19.5506189597$
9.7.2307632671.1	$x^{9} - 4 x^{7} + x^{5} - 2 x^{4} + 5 x^{3} + 3 x^{2} - 2 x - 1$	$9$	[7,1]	$-\,2307632671$	$1$	$10.97366892$	$48037.82541914236$	✓	$S_9$ (as 9T34)	trivial	$2$	$7$	$20.370866018420205$
9.7.2636091127.1	$x^{9} - 2 x^{8} - 2 x^{7} + 3 x^{6} + x^{5} + 4 x^{4} - x^{3} - 6 x^{2} + 1$	$9$	[7,1]	$-\,2791\cdot 944497$	$2$	$11.13713233$	$51342.8780552863$	✓	$S_9$ (as 9T34)	trivial	$2$	$7$	$22.21741989499976$
9.7.2668161671.1	$x^{9} - 7 x^{7} - 2 x^{6} + 14 x^{5} + 7 x^{4} - 8 x^{3} - 7 x^{2} + 1$	$9$	[7,1]	$-\,7^{6}\cdot 22679$	$2$	$11.1521064071$	$551.0749169202542$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$22.4419016497$
9.7.2794474079.1	$x^{9} - 3 x^{8} + 4 x^{6} + 3 x^{4} - 4 x^{3} - 5 x^{2} + 2 x + 1$	$9$	[7,1]	$-\,23\cdot 5569\cdot 21817$	$3$	$11.2095685817$	$52862.78538821048$	✓	$S_9$ (as 9T34)	trivial	$2$	$7$	$22.822475055385944$
9.7.2964637151.1	$x^{9} - x^{8} - 2 x^{7} - 3 x^{6} - 2 x^{5} + 12 x^{4} + 3 x^{3} - 8 x^{2} + 1$	$9$	[7,1]	$-\,7^{6}\cdot 113\cdot 223$	$3$	$11.2834337408$	$580.8852469488014$	?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$23.8423341761$
9.7.3030520591.1	$x^{9} - x^{8} - 2 x^{7} + 3 x^{6} - 6 x^{5} + x^{4} + 13 x^{3} - 2 x^{2} - 7 x - 1$	$9$	[7,1]	$-\,7^{6}\cdot 25759$	$2$	$11.3110237807$	$587.3043166529919$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$24.1688084381$
9.7.3616883207.1	$x^{9} - x^{8} - 5 x^{7} + 9 x^{6} + x^{5} - 17 x^{4} + 15 x^{3} + 2 x^{2} - 5 x + 1$	$9$	[7,1]	$-\,7^{6}\cdot 71\cdot 433$	$3$	$11.5355196952$	$641.6110219313575$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$26.8589605451$
9.7.4475250311.1	$x^{9} - x^{8} - 4 x^{7} + 4 x^{6} - 3 x^{4} + 12 x^{3} - 9 x - 1$	$9$	[7,1]	$-\,7^{6}\cdot 38039$	$2$	$11.8117171028$	$713.695961057895$	?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$31.6944871396$
9.7.4591118799.1	$x^{9} - 3 x^{7} - 2 x^{6} - 3 x^{5} + 3 x^{4} + 8 x^{3} - 3 x^{2} - 3 x + 1$	$9$	[7,1]	$-\,3^{12}\cdot 53\cdot 163$	$3$	$11.8453119749$	$402.1549419391842$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$30.9067104676$
9.7.4664429903.1	$x^{9} - 3 x^{8} - 2 x^{7} + 13 x^{6} - 7 x^{5} - 13 x^{4} + 13 x^{3} + 5 x^{2} - 5 x - 1$	$9$	[7,1]	$-\,7^{6}\cdot 41\cdot 967$	$3$	$11.866180557$	$728.6246483777765$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$31.6200065479$
9.7.4951022867.1	$x^{9} - x^{8} - 5 x^{7} + 5 x^{6} + 6 x^{5} - 11 x^{4} - 3 x^{3} + 7 x^{2} + x - 1$	$9$	[7,1]	$-\,7^{6}\cdot 42083$	$2$	$11.9450597318$	$750.6751499498789$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$33.6551173836$
9.7.5382559399.1	$x^{9} - 2 x^{8} - 4 x^{7} + 8 x^{6} + 5 x^{4} - 8 x^{3} - 6 x^{2} + 4 x + 1$	$9$	[7,1]	$-\,7^{6}\cdot 45751$	$2$	$12.0564925255$	$782.7065872989297$	?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$34.3698795332$
9.7.5520914623.1	$x^{9} - x^{8} - 5 x^{7} + 2 x^{6} + 8 x^{5} + 4 x^{4} - 6 x^{3} - 5 x^{2} + 2 x + 1$	$9$	[7,1]	$-\,7^{6}\cdot 167\cdot 281$	$3$	$12.0905392186$	$792.7022463054582$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$34.9119375404$
9.7.5632916471.1	$x^{9} - x^{8} - 6 x^{7} + 3 x^{6} + 10 x^{5} + 2 x^{4} - x^{3} - 4 x^{2} - 4 x - 1$	$9$	[7,1]	$-\,7^{6}\cdot 13\cdot 29\cdot 127$	$4$	$12.1175497756$	$800.7025819239716$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$35.3061614221$
9.7.5975510359.1	$x^{9} - 2 x^{8} - 2 x^{7} - x^{6} + 9 x^{5} + 7 x^{4} - 10 x^{3} - 5 x^{2} + 3 x + 1$	$9$	[7,1]	$-\,7^{6}\cdot 13\cdot 3907$	$3$	$12.1973051566$	$824.6925572171407$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$36.5393830911$
9.7.6221161471.1	$x^{9} - 2 x^{8} - 5 x^{7} + 12 x^{6} + 3 x^{5} - 19 x^{4} + 7 x^{3} + 7 x^{2} - 2 x - 1$	$9$	[7,1]	$-\,7^{6}\cdot 52879$	$2$	$12.2520268962$	$841.4732414621086$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$39.1106832408$
9.7.6225867431.1	$x^{9} - x^{8} - 4 x^{7} - x^{6} + x^{5} + 7 x^{4} + 4 x^{3} - 6 x^{2} - x + 1$	$9$	[7,1]	$-\,7^{6}\cdot 52919$	$2$	$12.2530563248$	$841.7914449719268$	?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$37.3378258859$
9.7.6240926503.1	$x^{9} - 5 x^{7} - 2 x^{6} - x^{5} + 2 x^{4} + 12 x^{3} - 4 x^{2} - 3 x + 1$	$9$	[7,1]	$-\,7^{6}\cdot 53047$	$2$	$12.2563458547$	$842.8088888755792$	?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$39.0906023051$
9.7.6285162527.1	$x^{9} - 4 x^{8} + x^{7} + 8 x^{6} - 2 x^{5} - 6 x^{3} - 3 x^{2} + 5 x - 1$	$9$	[7,1]	$-\,7^{6}\cdot 41\cdot 1303$	$3$	$12.2659682084$	$845.7905521113046$	?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$37.0499128644$
9.7.6304927559.1	$x^{9} - x^{8} - 6 x^{7} + 3 x^{6} + 17 x^{5} - 5 x^{4} - 22 x^{3} + 10 x^{2} + 3 x - 1$	$9$	[7,1]	$-\,7^{6}\cdot 53591$	$2$	$12.2702481133$	$847.11939247764$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$38.3671400744$
9.7.6370810999.1	$x^{9} - 2 x^{8} - 6 x^{7} + 6 x^{6} + 6 x^{5} - 8 x^{4} + 4 x^{3} + 4 x^{2} - 5 x + 1$	$9$	[7,1]	$-\,7^{6}\cdot 54151$	$2$	$12.2844288427$	$851.5338838520482$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$37.3335069594$
9.7.6499283707.1	$x^{9} - 3 x^{8} - x^{7} + 6 x^{6} + x^{5} + x^{4} - 6 x^{3} - 6 x^{2} + 5 x + 1$	$9$	[7,1]	$-\,7^{6}\cdot 55243$	$2$	$12.3117103158$	$860.0769740606161$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$39.4889541499$
9.7.6606265867.1	$x^{9} - x^{8} - 4 x^{7} + 2 x^{6} + 6 x^{3} + x^{2} - 3 x - 1$	$9$	[7,1]	$-\,641\cdot 10306187$	$2$	$12.33406485$	$81278.93864341488$	✓	$S_9$ (as 9T34)	trivial	$2$	$7$	$39.3712994538915$
9.7.6799053359.1	$x^{9} - x^{8} - 5 x^{7} + 6 x^{6} + 3 x^{5} - 9 x^{4} + 11 x^{3} + 2 x^{2} - 10 x + 1$	$9$	[7,1]	$-\,7^{6}\cdot 57791$	$2$	$12.3735487058$	$879.6882640374339$	?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$38.7828573704$
9.7.6833877463.1	$x^{9} - 3 x^{8} - x^{7} + 10 x^{6} - 7 x^{5} - 8 x^{4} + 12 x^{3} - 4 x + 1$	$9$	[7,1]	$-\,7^{6}\cdot 29\cdot 2003$	$3$	$12.3805745205$	$881.9382264625444$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$40.6692187727$
9.7.6868230971.1	$x^{9} - x^{8} - 8 x^{7} + 8 x^{6} + 21 x^{5} - 18 x^{4} - 22 x^{3} + 11 x^{2} + 8 x + 1$	$9$	[7,1]	$-\,7^{6}\cdot 58379$	$2$	$12.3874742788$	$884.1521739120959$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$41.4775145462$
9.7.6884701831.1	$x^{9} - 3 x^{8} - 3 x^{7} + 15 x^{6} - 2 x^{5} - 24 x^{4} + 11 x^{3} + 13 x^{2} - 6 x - 1$	$9$	[7,1]	$-\,7^{6}\cdot 139\cdot 421$	$3$	$12.3907715085$	$885.2116917396663$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$40.3634852143$
9.7.7272002339.1	$x^{9} - 2 x^{8} - x^{7} + 2 x^{6} - 6 x^{5} + 9 x^{4} + 12 x^{3} - 8 x^{2} - 7 x - 1$	$9$	[7,1]	$-\,7^{6}\cdot 113\cdot 547$	$3$	$12.466350535$	$909.7699299099795$	?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$43.9983487147$
9.7.7609419671.1	$x^{9} - 3 x^{8} - 4 x^{7} + 17 x^{6} - x^{5} - 24 x^{4} + 10 x^{3} + 4 x^{2} - 1$	$9$	[7,1]	$-\,7^{6}\cdot 64679$	$2$	$12.5293329025$	$930.6370569635337$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$41.8703853445$
9.7.8218841491.1	$x^{9} - 4 x^{7} - 4 x^{6} + 3 x^{5} + 13 x^{4} + 4 x^{3} - 11 x^{2} - 4 x + 1$	$9$	[7,1]	$-\,7^{6}\cdot 69859$	$2$	$12.6370476405$	$967.1857197462514$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$44.5911311327$
9.7.8428256711.1	$x^{9} - 3 x^{8} + 3 x^{7} + 2 x^{6} - 13 x^{5} + 10 x^{4} + 10 x^{3} - 10 x^{2} + 1$	$9$	[7,1]	$-\,7^{6}\cdot 71\cdot 1009$	$3$	$12.6724256119$	$979.4301093076617$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$47.2305806891$
9.7.9072032039.1	$x^{9} - 3 x^{8} + 4 x^{7} - 5 x^{6} - 11 x^{5} + 22 x^{4} + 4 x^{3} - 14 x^{2} + 2 x + 1$	$9$	[7,1]	$-\,7^{6}\cdot 29\cdot 2659$	$3$	$12.7764917681$	$1016.1477525652123$	?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$47.1668231274$
9.7.9218857991.1	$x^{9} - x^{8} - 4 x^{7} - 2 x^{6} + 11 x^{5} + 9 x^{4} - 11 x^{3} - 6 x^{2} + 3 x + 1$	$9$	[7,1]	$-\,7^{6}\cdot 127\cdot 617$	$3$	$12.7993037933$	$1024.3376503165505$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$48.9601619856$
9.7.9305918251.1	$x^{9} - x^{8} - 7 x^{7} + 4 x^{6} + 15 x^{5} - 3 x^{4} - 6 x^{3} + 2 x^{2} - 3 x - 1$	$9$	[7,1]	$-\,7^{6}\cdot 83\cdot 953$	$3$	$12.812678086$	$1029.163060638494$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$48.5682110199$
9.7.9338859971.1	$x^{9} - 2 x^{8} - 5 x^{7} + 13 x^{6} + 4 x^{5} - 22 x^{4} + 2 x^{3} + 12 x^{2} - x - 1$	$9$	[7,1]	$-\,7^{6}\cdot 79379$	$2$	$12.8177096403$	$1030.9830020427235$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$49.6804020718$
9.7.9437685131.1	$x^{9} - 2 x^{8} - 6 x^{7} + 9 x^{6} + 16 x^{5} - 12 x^{4} - 20 x^{3} + 4 x^{2} + 8 x + 1$	$9$	[7,1]	$-\,7^{6}\cdot 97\cdot 827$	$3$	$12.8327102106$	$1036.423651725359$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$48.17963078$
9.7.9487097711.1	$x^{9} - 5 x^{7} - x^{6} + 6 x^{5} + 8 x^{4} - 3 x^{3} - 9 x^{2} + x + 1$	$9$	[7,1]	$-\,7^{6}\cdot 13\cdot 6203$	$3$	$12.8401582075$	$1039.1332944011942$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$48.2802203248$
9.7.9996282583.1	$x^{9} - 3 x^{8} - 4 x^{7} + 16 x^{6} + x^{5} - 18 x^{4} - 4 x^{3} + 4 x^{2} + 7 x + 1$	$9$	[7,1]	$-\,7^{6}\cdot 84967$	$2$	$12.9149630921$	$1066.654661381251$	?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$52.4020134938$
9.7.10000988543.1	$x^{9} - x^{8} - 4 x^{7} + 6 x^{6} + x^{5} - 21 x^{4} - 10 x^{3} + 8 x^{2} + 6 x + 1$	$9$	[7,1]	$-\,7^{6}\cdot 13^{2}\cdot 503$	$3$	$12.9156385053$	$295.90640248065023$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$50.8298647435$
9.7.10214886592.1	$x^{9} - 2 x^{8} - 3 x^{7} + 9 x^{6} - 3 x^{5} - 12 x^{4} + 6 x^{3} + 7 x^{2} - x - 1$	$9$	[7,1]	$-\,2^{6}\cdot 23\cdot 37^{3}\cdot 137$	$4$	$12.9460434727$	$542.0155264272299$	✓	$S_3\wr S_3$ (as 9T31)	trivial	$2$	$7$	$51.589563383$
9.7.10272993031.1	$x^{9} - x^{8} - 4 x^{7} + 9 x^{6} - x^{5} - 20 x^{4} + 11 x^{3} + 9 x^{2} - 4 x - 1$	$9$	[7,1]	$-\,7^{6}\cdot 29\cdot 3011$	$3$	$12.9542053455$	$1081.3170976358026$	?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$52.1800829699$
9.7.10336994087.1	$x^{9} - 2 x^{8} - 4 x^{7} + 13 x^{6} - 2 x^{5} - 23 x^{4} + 17 x^{3} + 7 x^{2} - 5 x - 1$	$9$	[7,1]	$-\,7^{6}\cdot 41\cdot 2143$	$3$	$12.9631478452$	$1084.6801867755828$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$50.8396871605$
9.7.10647587447.1	$x^{9} - 2 x^{8} - 6 x^{7} + 7 x^{6} + 14 x^{5} - 7 x^{3} - 8 x^{2} - 5 x - 1$	$9$	[7,1]	$-\,7^{8}\cdot 1847$	$2$	$13.0058584776$	$242.34368397590123$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$54.2395001219$
9.7.10748765587.1	$x^{9} - 4 x^{8} + 4 x^{7} + 8 x^{6} - 26 x^{5} + 18 x^{4} + 13 x^{3} - 16 x^{2} + 2 x + 1$	$9$	[7,1]	$-\,7^{6}\cdot 211\cdot 433$	$3$	$13.0195327709$	$1106.0731990069357$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$53.7436525055$
9.7.10781707307.1	$x^{9} - 2 x^{8} - x^{7} + 10 x^{6} - 5 x^{5} - 17 x^{4} + 6 x^{3} + 10 x^{2} - 1$	$9$	[7,1]	$-\,7^{6}\cdot 113\cdot 811$	$3$	$13.0239601811$	$1107.7667925514243$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$53.0883011383$
9.7.10871591143.1	$x^{9} - 2 x^{8} - 3 x^{7} + x^{6} + 18 x^{5} - 5 x^{4} - 34 x^{3} + 28 x^{2} - 4 x - 1$	$9$	[7,1]	$-\,7^{7}\cdot 43\cdot 307$	$3$	$13.0359798056$	$581.5027624578345$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$56.5187504084$
9.7.10887120811.1	$x^{9} - 2 x^{8} - 6 x^{7} + 8 x^{6} + 15 x^{5} - 6 x^{4} - 22 x^{3} - x^{2} + 11 x + 1$	$9$	[7,1]	$-\,7^{6}\cdot 29\cdot 3191$	$3$	$13.0380475396$	$1113.1689768665037$	?	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$53.3534262532$
9.7.10989240143.1	$x^{9} - 2 x^{8} - 3 x^{6} - 5 x^{5} + 16 x^{4} + 15 x^{3} - 3 x^{2} - 5 x - 1$	$9$	[7,1]	$-\,7^{6}\cdot 93407$	$2$	$13.0515795201$	$1118.3774590559951$	✓	$S_3 \wr C_3 $ (as 9T28)	trivial	$2$	$7$	$53.635049863$

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