Number field search results

The results below are complete, since the LMFDB contains all number fields with absolute discriminant at most 1656109

Results (1-50 of 332 matches)

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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
2.2.101.1	$x^{2} - x - 25$	$2$	[2,0]	$101$	$1$	$10.0498756211$	$10.04987562112089$		✓	✓	$C_2$ (as 2T1)	trivial	trivial	$2$	$1$	$2.9982229503$
2.2.104.1	$x^{2} - 26$	$2$	[2,0]	$2^{3}\cdot 13$	$2$	$10.1980390272$	$10.198039027185569$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[2]$	$2$	$1$	$2.31243834127$
2.2.105.1	$x^{2} - x - 26$	$2$	[2,0]	$3\cdot 5\cdot 7$	$3$	$10.246950766$	$10.246950765959598$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[2, 2]$	$2$	$1$	$4.40657049308$
2.2.109.1	$x^{2} - x - 27$	$2$	[2,0]	$109$	$1$	$10.4403065089$	$10.44030650891055$		✓	✓	$C_2$ (as 2T1)	trivial	trivial	$2$	$1$	$5.56453508676$
2.2.113.1	$x^{2} - x - 28$	$2$	[2,0]	$113$	$1$	$10.6301458127$	$10.63014581273465$		✓	✓	$C_2$ (as 2T1)	trivial	trivial	$2$	$1$	$7.3473001159$
2.2.120.1	$x^{2} - 30$	$2$	[2,0]	$2^{3}\cdot 3\cdot 5$	$3$	$10.9544511501$	$10.954451150103322$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[2, 2]$	$2$	$1$	$3.08896990484$
2.2.124.1	$x^{2} - 31$	$2$	[2,0]	$2^{2}\cdot 31$	$2$	$11.1355287257$	$11.135528725660043$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$8.01961268619$
2.2.129.1	$x^{2} - x - 32$	$2$	[2,0]	$3\cdot 43$	$2$	$11.3578166916$	$11.357816691600547$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$10.4255498073$
2.2.133.1	$x^{2} - x - 33$	$2$	[2,0]	$7\cdot 19$	$2$	$11.5325625947$	$11.532562594670797$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$5.15325818041$
2.2.136.1	$x^{2} - 34$	$2$	[2,0]	$2^{3}\cdot 17$	$2$	$11.6619037897$	$11.661903789690601$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[4]$	$2$	$1$	$4.24829109791$
2.2.137.1	$x^{2} - x - 34$	$2$	[2,0]	$137$	$1$	$11.7046999107$	$11.704699910719626$		✓	✓	$C_2$ (as 2T1)	trivial	trivial	$2$	$1$	$8.15708386722$
2.2.140.1	$x^{2} - 35$	$2$	[2,0]	$2^{2}\cdot 5\cdot 7$	$3$	$11.8321595662$	$11.832159566199232$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[2, 2]$	$2$	$1$	$2.47788873029$
2.2.141.1	$x^{2} - x - 35$	$2$	[2,0]	$3\cdot 47$	$2$	$11.874342087$	$11.874342087037917$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$5.24699637018$
2.2.145.1	$x^{2} - x - 36$	$2$	[2,0]	$5\cdot 29$	$2$	$12.0415945788$	$12.041594578792296$		✓	✓	$C_2$ (as 2T1)	$[4]$	$[4]$	$2$	$1$	$3.1797854377$
2.2.149.1	$x^{2} - x - 37$	$2$	[2,0]	$149$	$1$	$12.2065556157$	$12.206555615733702$		✓	✓	$C_2$ (as 2T1)	trivial	trivial	$2$	$1$	$4.11114250086$
2.2.152.1	$x^{2} - 38$	$2$	[2,0]	$2^{3}\cdot 19$	$2$	$12.3288280059$	$12.328828005937952$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$4.30388242811$
2.2.156.1	$x^{2} - 39$	$2$	[2,0]	$2^{2}\cdot 3\cdot 13$	$3$	$12.4899959968$	$12.489995996796797$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[2, 2]$	$2$	$1$	$3.91162276521$
2.2.157.1	$x^{2} - x - 39$	$2$	[2,0]	$157$	$1$	$12.5299640861$	$12.529964086141668$		✓	✓	$C_2$ (as 2T1)	trivial	trivial	$2$	$1$	$5.36131420646$
2.2.161.1	$x^{2} - x - 40$	$2$	[2,0]	$7\cdot 23$	$2$	$12.6885775404$	$12.68857754044952$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$10.0668810976$
2.2.165.1	$x^{2} - x - 41$	$2$	[2,0]	$3\cdot 5\cdot 11$	$3$	$12.8452325787$	$12.84523257866513$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[2, 2]$	$2$	$1$	$2.55897897703$
2.2.168.1	$x^{2} - 42$	$2$	[2,0]	$2^{3}\cdot 3\cdot 7$	$3$	$12.9614813968$	$12.96148139681572$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[2, 2]$	$2$	$1$	$3.2566139548$
2.2.172.1	$x^{2} - 43$	$2$	[2,0]	$2^{2}\cdot 43$	$2$	$13.1148770486$	$13.114877048604$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$8.84850928027$
2.2.173.1	$x^{2} - x - 43$	$2$	[2,0]	$173$	$1$	$13.152946438$	$13.152946437965905$		✓	✓	$C_2$ (as 2T1)	trivial	trivial	$2$	$1$	$2.5708146781$
2.2.177.1	$x^{2} - x - 44$	$2$	[2,0]	$3\cdot 59$	$2$	$13.3041346957$	$13.30413469565007$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$11.7348362567$
2.2.181.1	$x^{2} - x - 45$	$2$	[2,0]	$181$	$1$	$13.4536240471$	$13.45362404707371$		✓	✓	$C_2$ (as 2T1)	trivial	trivial	$2$	$1$	$7.17395890695$
2.2.184.1	$x^{2} - 46$	$2$	[2,0]	$2^{3}\cdot 23$	$2$	$13.5646599663$	$13.564659966250536$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$10.7928181024$
2.2.185.1	$x^{2} - x - 46$	$2$	[2,0]	$5\cdot 37$	$2$	$13.6014705087$	$13.601470508735444$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[2]$	$2$	$1$	$4.9127089471$
2.2.188.1	$x^{2} - 47$	$2$	[2,0]	$2^{2}\cdot 47$	$2$	$13.7113092008$	$13.711309200802088$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$4.56423966686$
2.2.193.1	$x^{2} - x - 48$	$2$	[2,0]	$193$	$1$	$13.8924439894$	$13.892443989449804$		✓	✓	$C_2$ (as 2T1)	trivial	trivial	$2$	$1$	$15.0763165232$
2.2.197.1	$x^{2} - x - 49$	$2$	[2,0]	$197$	$1$	$14.0356688476$	$14.035668847618199$		✓	✓	$C_2$ (as 2T1)	trivial	trivial	$2$	$1$	$3.33347758688$
2.2.201.1	$x^{2} - x - 50$	$2$	[2,0]	$3\cdot 67$	$2$	$14.1774468788$	$14.177446878757825$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$13.8452538092$
2.2.204.1	$x^{2} - 51$	$2$	[2,0]	$2^{2}\cdot 3\cdot 17$	$3$	$14.2828568571$	$14.2828568570857$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[2, 2]$	$2$	$1$	$4.60507017098$
2.2.205.1	$x^{2} - x - 51$	$2$	[2,0]	$5\cdot 41$	$2$	$14.3178210633$	$14.317821063276353$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[4]$	$2$	$1$	$3.76065884353$
2.2.209.1	$x^{2} - x - 52$	$2$	[2,0]	$11\cdot 19$	$2$	$14.4568322948$	$14.45683229480096$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$11.4414509452$
2.2.213.1	$x^{2} - x - 53$	$2$	[2,0]	$3\cdot 71$	$2$	$14.5945195193$	$14.594519519326424$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$4.29027173584$
2.2.217.1	$x^{2} - x - 54$	$2$	[2,0]	$7\cdot 31$	$2$	$14.7309198627$	$14.730919862656235$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$15.8551876187$
2.2.220.1	$x^{2} - 55$	$2$	[2,0]	$2^{2}\cdot 5\cdot 11$	$3$	$14.8323969742$	$14.832396974191326$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[2, 2]$	$2$	$1$	$5.18175198713$
2.2.221.1	$x^{2} - x - 55$	$2$	[2,0]	$13\cdot 17$	$2$	$14.8660687473$	$14.866068747318506$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[4]$	$2$	$1$	$2.70357583093$
2.2.229.1	$x^{2} - x - 57$	$2$	[2,0]	$229$	$1$	$15.1327459504$	$15.132745950421556$		✓	✓	$C_2$ (as 2T1)	$[3]$	$[3]$	$2$	$1$	$2.71246530518$
2.2.232.1	$x^{2} - 58$	$2$	[2,0]	$2^{3}\cdot 29$	$2$	$15.2315462117$	$15.231546211727817$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[2]$	$2$	$1$	$5.28829253732$
2.2.233.1	$x^{2} - x - 58$	$2$	[2,0]	$233$	$1$	$15.2643375225$	$15.264337522473747$		✓	✓	$C_2$ (as 2T1)	trivial	trivial	$2$	$1$	$10.7431563862$
2.2.236.1	$x^{2} - 59$	$2$	[2,0]	$2^{2}\cdot 59$	$2$	$15.3622914957$	$15.362291495737216$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$6.96602329711$
2.2.237.1	$x^{2} - x - 59$	$2$	[2,0]	$3\cdot 79$	$2$	$15.3948043183$	$15.394804318340652$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$4.34363671666$
2.2.241.1	$x^{2} - x - 60$	$2$	[2,0]	$241$	$1$	$15.5241746963$	$15.524174696260024$		✓	✓	$C_2$ (as 2T1)	trivial	trivial	$2$	$1$	$18.7714934907$
2.2.248.1	$x^{2} - 62$	$2$	[2,0]	$2^{3}\cdot 31$	$2$	$15.748015748$	$15.748015748023622$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$4.83621891284$
2.2.249.1	$x^{2} - x - 62$	$2$	[2,0]	$3\cdot 83$	$2$	$15.7797338381$	$15.7797338380595$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$16.6550351208$
2.2.253.1	$x^{2} - x - 63$	$2$	[2,0]	$11\cdot 23$	$2$	$15.9059737206$	$15.905973720586866$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$7.5288689679$
2.2.257.1	$x^{2} - x - 64$	$2$	[2,0]	$257$	$1$	$16.0312195419$	$16.0312195418814$		✓	✓	$C_2$ (as 2T1)	$[3]$	$[3]$	$2$	$1$	$3.46671103788$
2.2.264.1	$x^{2} - 66$	$2$	[2,0]	$2^{3}\cdot 3\cdot 11$	$3$	$16.2480768093$	$16.24807680927192$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[2, 2]$	$2$	$1$	$4.86747527361$
2.2.265.1	$x^{2} - x - 66$	$2$	[2,0]	$5\cdot 53$	$2$	$16.2788205961$	$16.278820596099706$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[2]$	$2$	$1$	$9.40459050642$

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