Number field search results

Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)

Results (1-50 of 61113 matches)

 

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
9.3.109880167.1	$x^{9} - 2 x^{8} + x^{7} + x^{6} - 3 x^{5} + x^{4} + 3 x^{3} - 2 x - 1$	$9$	[3,3]	$-\,367\cdot 299401$	$2$	$7.82411957288$	$10482.374110858666$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$1.93836373256$
9.3.110852311.1	$x^{9} - x^{8} - 4 x^{7} + 2 x^{6} + 8 x^{5} - x^{4} - 8 x^{3} - 2 x^{2} + 3 x + 1$	$9$	[3,3]	$-\,31^{3}\cdot 61^{2}$	$2$	$7.83178087654$	$86.27813264811779$			✓	$C_3 \wr S_3 $ (as 9T20)	trivial	$2$	$5$	$1.94853837145$
9.3.111543479.1	$x^{9} - x^{8} - x^{7} + 3 x^{6} - 2 x^{5} - x^{4} + 2 x^{3} - x^{2} - 1$	$9$	[3,3]	$-\,111543479$	$1$	$7.83719161386$	$10561.414630625955$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$1.95734647671$
9.3.112700719.1	$x^{9} - x^{6} - x^{5} + 3 x^{4} + 2 x^{3} - 3 x^{2} - x + 1$	$9$	[3,3]	$-\,7211\cdot 15629$	$2$	$7.84618458252$	$10616.059485515329$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$1.97058172746$
9.3.112978759.1	$x^{9} - 3 x^{8} + 2 x^{7} + 3 x^{6} - 5 x^{5} + x^{4} + 3 x^{3} - 3 x^{2} - x + 1$	$9$	[3,3]	$-\,43\cdot 2627413$	$2$	$7.84833301095$	$10629.146673181249$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$1.9734591068$
9.3.112992391.1	$x^{9} - 2 x^{8} + x^{7} + 3 x^{6} - 6 x^{5} + 3 x^{4} + 2 x^{3} - 4 x^{2} + 2 x - 1$	$9$	[3,3]	$-\,112992391$	$1$	$7.84843822516$	$10629.787909455203$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$1.97242112054$
9.3.113501567.1	$x^{9} - x^{8} - x^{7} + x^{6} - 3 x^{4} + x^{3} + 4 x^{2} - 1$	$9$	[3,3]	$-\,53\cdot 797\cdot 2687$	$3$	$7.85236007762$	$10653.711419031399$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$1.97827200876$
9.3.113511599.1	$x^{9} - x^{8} - 2 x^{7} + 2 x^{6} + 3 x^{5} - 5 x^{4} - 3 x^{3} + 4 x^{2} + x - 1$	$9$	[3,3]	$-\,193\cdot 727\cdot 809$	$3$	$7.85243719039$	$10654.182230467057$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$1.97953412598$
9.3.113931487.1	$x^{9} - 2 x^{6} - x^{5} - x^{4} + 2 x^{2} + x + 1$	$9$	[3,3]	$-\,109\cdot 389\cdot 2687$	$3$	$7.85565931448$	$10673.86935464361$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$1.98338186845$
9.3.114479303.1	$x^{9} - 3 x^{8} + 4 x^{7} - x^{6} - 7 x^{5} + 11 x^{4} - 9 x^{3} + 3 x^{2} - x + 1$	$9$	[3,3]	$-\,23^{3}\cdot 97^{2}$	$2$	$7.85984729638$	$101.2461243234224$			?	$C_3 \wr S_3 $ (as 9T20)	trivial	$2$	$5$	$1.99189617114$
9.3.114807607.1	$x^{9} - x^{7} - 2 x^{6} + x^{5} + 4 x^{4} + 2 x^{3} - 2 x^{2} - 3 x - 1$	$9$	[3,3]	$-\,29\cdot 3958883$	$2$	$7.86234860857$	$10714.83116992517$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$1.99317171241$
9.3.115041127.1	$x^{9} - x^{8} - 2 x^{7} + 3 x^{6} - 2 x^{4} - x^{3} + 2 x + 1$	$9$	[3,3]	$-\,97\cdot 229\cdot 5179$	$3$	$7.86412390518$	$10725.722679614646$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$1.99470633921$
9.3.115270559.1	$x^{9} - 3 x^{8} + 3 x^{7} - 2 x^{6} + 2 x^{5} - 2 x^{4} - 2 x^{3} + 5 x^{2} - 4 x + 1$	$9$	[3,3]	$-\,71\cdot 79\cdot 20551$	$3$	$7.86586500658$	$10736.412762184584$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.00001012155$
9.3.115691111.1	$x^{9} + 2 x^{7} - x^{6} + x^{4} - 5 x^{3} + 2 x^{2} + 2 x - 1$	$9$	[3,3]	$-\,47\cdot 67\cdot 36739$	$3$	$7.86904848651$	$10755.980243566832$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.0022721667$
9.3.116188367.1	$x^{9} - 2 x^{7} - 3 x^{6} + x^{5} + 3 x^{4} + x^{3} - x^{2} + 1$	$9$	[3,3]	$-\,116188367$	$1$	$7.87279935274$	$10779.070785554755$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.00837487251$
9.3.116817671.1	$x^{9} - x^{8} - 3 x^{7} + x^{6} + 5 x^{5} - 4 x^{3} + x + 1$	$9$	[3,3]	$-\,53\cdot 2204107$	$2$	$7.8775258713974665$	$10808.222379281433$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.0168691883813112$
9.3.117283087.1	$x^{9} - 2 x^{8} - x^{7} + 5 x^{6} - 2 x^{5} - 2 x^{4} + x^{3} - x^{2} + x + 1$	$9$	[3,3]	$-\,117283087$	$1$	$7.88100693794163$	$10829.73162179008$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.024209798952456$
9.3.118246927.1	$x^{9} - 4 x^{8} + 8 x^{7} - 12 x^{6} + 13 x^{5} - 10 x^{4} + 5 x^{3} - x^{2} + 1$	$9$	[3,3]	$-\,31\cdot 3814417$	$2$	$7.88817708056$	$10874.140287857243$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.03050753091$
9.3.118347967.1	$x^{9} - x^{8} - 3 x^{7} + 2 x^{6} + 3 x^{5} - x^{4} + x^{2} - 2 x - 1$	$9$	[3,3]	$-\,479\cdot 247073$	$2$	$7.888925720065851$	$10878.78518034068$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.034018940047565$
9.3.118357559.1	$x^{9} - 2 x^{8} + x^{6} + x^{4} - 3 x^{3} - 2 x^{2} + 2 x + 1$	$9$	[3,3]	$-\,769\cdot 153911$	$2$	$7.888996760904876$	$10879.226029456324$			?	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.033105324327558$
9.3.118434167.1	$x^{9} - 4 x^{8} + 7 x^{7} - 9 x^{6} + 9 x^{5} - 7 x^{4} + 5 x^{3} - 2 x^{2} + 2 x - 1$	$9$	[3,3]	$-\,31\cdot 3820457$	$2$	$7.889563956033352$	$10882.74629861415$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.0340630714495123$
9.3.118795951.1	$x^{9} - 2 x^{8} + x^{7} + 2 x^{6} - 4 x^{5} + x^{4} + 2 x^{3} - 3 x^{2} + 1$	$9$	[3,3]	$-\,167\cdot 711353$	$2$	$7.89223815642$	$10899.355531406432$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.0358964195703666$
9.3.119070383.1	$x^{9} - x^{8} - 2 x^{7} + 3 x^{6} - 3 x^{4} + x^{3} + 2 x^{2} - x - 1$	$9$	[3,3]	$-\,53\cdot 1327\cdot 1693$	$3$	$7.894261852578234$	$10911.93763728514$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.040657692881281$
9.3.119278283.1	$x^{9} - 3 x^{8} + 5 x^{7} - 8 x^{6} + 8 x^{5} - 5 x^{4} + 2 x^{3} + x^{2} - x + 1$	$9$	[3,3]	$-\,119278283$	$1$	$7.895792175132679$	$10921.459746755467$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.046654077664487$
9.3.119747759.1	$x^{9} - 2 x^{8} + x^{7} + x^{6} - x^{5} - x^{4} + x^{3} - 2 x + 1$	$9$	[3,3]	$-\,557\cdot 214987$	$2$	$7.899239218212771$	$10942.93191973705$			?	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.047212820083041$
9.3.119783879.1	$x^{9} - 2 x^{8} + 2 x^{7} + x^{6} - 5 x^{5} + 6 x^{4} - x^{3} - 3 x^{2} + 3 x - 1$	$9$	[3,3]	$-\,101\cdot 1185979$	$2$	$7.899503924885698$	$10944.582175670299$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.05024605008869$
9.3.120155887.1	$x^{9} - 2 x^{8} + 2 x^{7} - 6 x^{5} + 11 x^{4} - 13 x^{3} + 10 x^{2} - 5 x + 1$	$9$	[3,3]	$-\,23\cdot 5224169$	$2$	$7.902226077812687$	$10961.564076353337$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.050524505530881$
9.3.120802519.1	$x^{9} - 4 x^{8} + 8 x^{7} - 11 x^{6} + 10 x^{5} - 7 x^{4} + 3 x^{3} + 1$	$9$	[3,3]	$-\,120802519$	$1$	$7.906940001997267$	$10991.019925375442$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.0608425295141637$
9.3.121463543.1	$x^{9} - x^{8} - 2 x^{7} + 2 x^{5} + 3 x^{4} - x^{3} - x^{2} - x - 1$	$9$	[3,3]	$-\,121463543$	$1$	$7.911735716556479$	$11021.049995349807$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.0657539325710625$
9.3.121510799.1	$x^{9} - 2 x^{7} - 3 x^{6} + x^{5} + 5 x^{4} + 4 x^{3} - x^{2} - 3 x - 1$	$9$	[3,3]	$-\,2207\cdot 55057$	$2$	$7.91207766859$	$11023.193684227816$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.06801444028$
9.3.122317991.1	$x^{9} - 2 x^{8} + 3 x^{7} - 3 x^{6} + x^{4} - 3 x^{3} + 2 x^{2} - x + 1$	$9$	[3,3]	$-\,19^{2}\cdot 79\cdot 4289$	$3$	$7.9179004600705065$	$2537.2798426661575$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.0775237955639283$
9.3.122854967.1	$x^{9} - 2 x^{8} + x^{6} - x^{5} + 3 x^{3} + 2 x^{2} - 2 x - 1$	$9$	[3,3]	$-\,122854967$	$1$	$7.9217551213300315$	$11083.99598520317$			?	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.0836377950782463$
9.3.122933791.1	$x^{9} - x^{7} - 3 x^{6} + 3 x^{4} + 2 x^{3} - 2 x - 1$	$9$	[3,3]	$-\,149\cdot 825059$	$2$	$7.922319695291742$	$11087.551172373456$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.081902760370103$
9.3.123301207.1	$x^{9} - 2 x^{8} + 2 x^{7} - 3 x^{5} + 4 x^{4} - 2 x^{3} + 2 x - 1$	$9$	[3,3]	$-\,379\cdot 325333$	$2$	$7.924947060603365$	$11104.107663382953$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.0891551855684356$
9.3.123396607.1	$x^{9} - 3 x^{8} + 4 x^{7} - 7 x^{5} + 9 x^{4} - 2 x^{3} - 4 x^{2} + 4 x - 1$	$9$	[3,3]	$-\,123396607$	$1$	$7.925628120976266$	$11108.402540419573$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.0903472187296215$
9.3.123595631.1	$x^{9} - 2 x^{8} + 2 x^{6} - x^{5} + 2 x^{4} - 2 x^{3} - 2 x^{2} + 2 x + 1$	$9$	[3,3]	$-\,43\cdot 2874317$	$2$	$7.927047447439633$	$11117.357194945209$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.0898538788515912$
9.3.123636223.1	$x^{9} - 3 x^{7} + 5 x^{5} - x^{4} - 2 x^{3} + x^{2} - x - 1$	$9$	[3,3]	$-\,17^{2}\cdot 43\cdot 9949$	$3$	$7.92733667714477$	$4324.373767232704$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.091420076266321$
9.3.123668767.1	$x^{9} - x^{8} - 2 x^{7} + 5 x^{6} - x^{5} - 5 x^{4} + 6 x^{3} - 3 x + 1$	$9$	[3,3]	$-\,123668767$	$1$	$7.927568501571172$	$11120.645979438425$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.092367943187346$
9.3.123972119.1	$x^{9} - x^{8} - 3 x^{7} + 3 x^{6} + 2 x^{5} - 3 x^{4} + x^{3} + 1$	$9$	[3,3]	$-\,123972119$	$1$	$7.929726799194135$	$11134.276761424606$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.0938044391871804$
9.3.124007591.1	$x^{9} - x^{7} - 3 x^{6} - x^{5} + 3 x^{4} + 4 x^{3} + x^{2} - 2 x - 1$	$9$	[3,3]	$-\,124007591$	$1$	$7.929978869764873$	$11135.86956640567$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.096434050847929$
9.3.124683371.1	$x^{9} - 2 x^{8} - x^{7} + 4 x^{6} - 4 x^{4} + 2 x^{3} + 2 x^{2} - 2 x - 1$	$9$	[3,3]	$-\,124683371$	$1$	$7.934768886711151$	$11166.170829787623$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.1042228787639967$
9.3.124885927.1	$x^{9} - x^{8} + x^{6} - 2 x^{5} + 2 x^{4} - x^{3} - x^{2} + x - 1$	$9$	[3,3]	$-\,17\cdot 7346231$	$2$	$7.936200135009763$	$11175.237223432889$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.1045734000862644$
9.3.125535947.1	$x^{9} - 2 x^{8} - x^{7} + 5 x^{6} - x^{5} - 5 x^{4} + x^{3} + 3 x^{2} - x - 1$	$9$	[3,3]	$-\,125535947$	$1$	$7.940779242019193$	$11204.28252946167$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.112811739659526$
9.3.125785223.1	$x^{9} - 2 x^{7} - x^{6} + 2 x^{5} - x^{4} - 3 x^{3} + 3 x^{2} + x - 1$	$9$	[3,3]	$-\,1013\cdot 124171$	$2$	$7.942529693222725$	$11215.401151987387$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.111808822163256$
9.3.126100423.1	$x^{9} - 3 x^{8} + x^{7} + 5 x^{6} - 5 x^{5} + 2 x^{3} - 2 x^{2} + x + 1$	$9$	[3,3]	$-\,126100423$	$1$	$7.944738662802956$	$11229.444465333092$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.1188208372797885$
9.3.126180871.1	$x^{9} - x^{8} - x^{7} - x^{6} + x^{5} + 2 x^{4} + x^{3} - 2 x - 1$	$9$	[3,3]	$-\,103\cdot 569\cdot 2153$	$3$	$7.945301668392246$	$11233.025905783357$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.1178231815653623$
9.3.126591211.1	$x^{9} - 3 x^{7} - x^{6} + x^{5} + 4 x^{4} + 3 x^{3} - 4 x^{2} - x + 1$	$9$	[3,3]	$-\,126591211$	$1$	$7.948168428450958$	$11251.275972084233$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.1232828660446263$
9.3.128374559.1	$x^{9} - 2 x^{8} + x^{6} - x^{5} + 3 x^{4} - x^{3} - x^{2} - 1$	$9$	[3,3]	$-\,128374559$	$1$	$7.960532269609266$	$11330.249732463975$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.1427495887847146$
9.3.128467639.1	$x^{9} - 3 x^{8} + 3 x^{7} + 2 x^{6} - 7 x^{5} + 5 x^{4} - 3 x^{2} + 2 x - 1$	$9$	[3,3]	$-\,131\cdot 389\cdot 2521$	$3$	$7.961173386320041$	$11334.356576356684$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.145720386631395$
9.3.128607823.1	$x^{9} - x^{8} - 4 x^{7} + 4 x^{6} + 6 x^{5} - 3 x^{4} - 6 x^{3} + 3 x + 1$	$9$	[3,3]	$-\,73\cdot 1761751$	$2$	$7.962138167334574$	$11340.538920174826$			✓	$S_9$ (as 9T34)	trivial	$2$	$5$	$2.1428959225465967$