Number field search results

Results (1-50 of 332 matches)

 

Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
2.2.101.1	x^2 - x - 25	$2$	[2,0]	$101$	$1$	$10.0498756211$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$2.9982229503$
2.2.104.1	x^2 - 26	$2$	[2,0]	$2^{3}\cdot 13$	$2$	$10.1980390272$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$2.31243834127$
2.2.105.1	x^2 - x - 26	$2$	[2,0]	$3\cdot 5\cdot 7$	$3$	$10.246950766$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$4.40657049308$
2.2.109.1	x^2 - x - 27	$2$	[2,0]	$109$	$1$	$10.4403065089$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$5.56453508676$
2.2.113.1	x^2 - x - 28	$2$	[2,0]	$113$	$1$	$10.6301458127$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$7.3473001159$
2.2.120.1	x^2 - 30	$2$	[2,0]	$2^{3}\cdot 3\cdot 5$	$3$	$10.9544511501$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$3.08896990484$
2.2.124.1	x^2 - 31	$2$	[2,0]	$2^{2}\cdot 31$	$2$	$11.1355287257$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$8.01961268619$
2.2.129.1	x^2 - x - 32	$2$	[2,0]	$3\cdot 43$	$2$	$11.3578166916$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$10.4255498073$
2.2.133.1	x^2 - x - 33	$2$	[2,0]	$7\cdot 19$	$2$	$11.5325625947$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$5.15325818041$
2.2.136.1	x^2 - 34	$2$	[2,0]	$2^{3}\cdot 17$	$2$	$11.6619037897$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$4.24829109791$
2.2.137.1	x^2 - x - 34	$2$	[2,0]	$137$	$1$	$11.7046999107$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$8.15708386722$
2.2.140.1	x^2 - 35	$2$	[2,0]	$2^{2}\cdot 5\cdot 7$	$3$	$11.8321595662$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$2.47788873029$
2.2.141.1	x^2 - x - 35	$2$	[2,0]	$3\cdot 47$	$2$	$11.874342087$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$5.24699637018$
2.2.145.1	x^2 - x - 36	$2$	[2,0]	$5\cdot 29$	$2$	$12.0415945788$		✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	$1$	$3.1797854377$
2.2.149.1	x^2 - x - 37	$2$	[2,0]	$149$	$1$	$12.2065556157$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$4.11114250086$
2.2.152.1	x^2 - 38	$2$	[2,0]	$2^{3}\cdot 19$	$2$	$12.3288280059$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$4.30388242811$
2.2.156.1	x^2 - 39	$2$	[2,0]	$2^{2}\cdot 3\cdot 13$	$3$	$12.4899959968$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$3.91162276521$
2.2.157.1	x^2 - x - 39	$2$	[2,0]	$157$	$1$	$12.5299640861$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$5.36131420646$
2.2.161.1	x^2 - x - 40	$2$	[2,0]	$7\cdot 23$	$2$	$12.6885775404$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$10.0668810976$
2.2.165.1	x^2 - x - 41	$2$	[2,0]	$3\cdot 5\cdot 11$	$3$	$12.8452325787$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$2.55897897703$
2.2.168.1	x^2 - 42	$2$	[2,0]	$2^{3}\cdot 3\cdot 7$	$3$	$12.9614813968$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$3.2566139548$
2.2.172.1	x^2 - 43	$2$	[2,0]	$2^{2}\cdot 43$	$2$	$13.1148770486$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$8.84850928027$
2.2.173.1	x^2 - x - 43	$2$	[2,0]	$173$	$1$	$13.152946438$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$2.5708146781$
2.2.177.1	x^2 - x - 44	$2$	[2,0]	$3\cdot 59$	$2$	$13.3041346957$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$11.7348362567$
2.2.181.1	x^2 - x - 45	$2$	[2,0]	$181$	$1$	$13.4536240471$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$7.17395890695$
2.2.184.1	x^2 - 46	$2$	[2,0]	$2^{3}\cdot 23$	$2$	$13.5646599663$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$10.7928181024$
2.2.185.1	x^2 - x - 46	$2$	[2,0]	$5\cdot 37$	$2$	$13.6014705087$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$4.9127089471$
2.2.188.1	x^2 - 47	$2$	[2,0]	$2^{2}\cdot 47$	$2$	$13.7113092008$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$4.56423966686$
2.2.193.1	x^2 - x - 48	$2$	[2,0]	$193$	$1$	$13.8924439894$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$15.0763165232$
2.2.197.1	x^2 - x - 49	$2$	[2,0]	$197$	$1$	$14.0356688476$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$3.33347758688$
2.2.201.1	x^2 - x - 50	$2$	[2,0]	$3\cdot 67$	$2$	$14.1774468788$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$13.8452538092$
2.2.204.1	x^2 - 51	$2$	[2,0]	$2^{2}\cdot 3\cdot 17$	$3$	$14.2828568571$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$4.60507017098$
2.2.205.1	x^2 - x - 51	$2$	[2,0]	$5\cdot 41$	$2$	$14.3178210633$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$3.76065884353$
2.2.209.1	x^2 - x - 52	$2$	[2,0]	$11\cdot 19$	$2$	$14.4568322948$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$11.4414509452$
2.2.213.1	x^2 - x - 53	$2$	[2,0]	$3\cdot 71$	$2$	$14.5945195193$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$4.29027173584$
2.2.217.1	x^2 - x - 54	$2$	[2,0]	$7\cdot 31$	$2$	$14.7309198627$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$15.8551876187$
2.2.220.1	x^2 - 55	$2$	[2,0]	$2^{2}\cdot 5\cdot 11$	$3$	$14.8323969742$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$5.18175198713$
2.2.221.1	x^2 - x - 55	$2$	[2,0]	$13\cdot 17$	$2$	$14.8660687473$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$2.70357583093$
2.2.229.1	x^2 - x - 57	$2$	[2,0]	$229$	$1$	$15.1327459504$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$2.71246530518$
2.2.232.1	x^2 - 58	$2$	[2,0]	$2^{3}\cdot 29$	$2$	$15.2315462117$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$5.28829253732$
2.2.233.1	x^2 - x - 58	$2$	[2,0]	$233$	$1$	$15.2643375225$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$10.7431563862$
2.2.236.1	x^2 - 59	$2$	[2,0]	$2^{2}\cdot 59$	$2$	$15.3622914957$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$6.96602329711$
2.2.237.1	x^2 - x - 59	$2$	[2,0]	$3\cdot 79$	$2$	$15.3948043183$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$4.34363671666$
2.2.241.1	x^2 - x - 60	$2$	[2,0]	$241$	$1$	$15.5241746963$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$18.7714934907$
2.2.248.1	x^2 - 62	$2$	[2,0]	$2^{3}\cdot 31$	$2$	$15.748015748$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$4.83621891284$
2.2.249.1	x^2 - x - 62	$2$	[2,0]	$3\cdot 83$	$2$	$15.7797338381$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$16.6550351208$
2.2.253.1	x^2 - x - 63	$2$	[2,0]	$11\cdot 23$	$2$	$15.9059737206$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$7.5288689679$
2.2.257.1	x^2 - x - 64	$2$	[2,0]	$257$	$1$	$16.0312195419$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$3.46671103788$
2.2.264.1	x^2 - 66	$2$	[2,0]	$2^{3}\cdot 3\cdot 11$	$3$	$16.2480768093$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$4.86747527361$
2.2.265.1	x^2 - x - 66	$2$	[2,0]	$5\cdot 53$	$2$	$16.2788205961$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$9.40459050642$