Number field search results

Results (1-50 of 685158 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
2.2.5.1	x^2 - x - 1	$2$	[2,0]	$5$	$1$	$2.2360679775$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$0.48121182506$
2.2.8.1	x^2 - 2	$2$	[2,0]	$2^{3}$	$1$	$2.82842712475$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$0.88137358702$
2.2.12.1	x^2 - 3	$2$	[2,0]	$2^{2}\cdot 3$	$2$	$3.46410161514$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$1.31695789692$
2.2.13.1	x^2 - x - 3	$2$	[2,0]	$13$	$1$	$3.60555127546$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$1.19476321729$
2.2.17.1	x^2 - x - 4	$2$	[2,0]	$17$	$1$	$4.12310562562$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$2.09471254726$
2.2.21.1	x^2 - x - 5	$2$	[2,0]	$3\cdot 7$	$2$	$4.58257569496$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$1.56679923697$
2.2.24.1	x^2 - 6	$2$	[2,0]	$2^{3}\cdot 3$	$2$	$4.89897948557$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$2.29243166956$
2.2.28.1	x^2 - 7	$2$	[2,0]	$2^{2}\cdot 7$	$2$	$5.29150262213$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$2.76865938331$
2.2.29.1	x^2 - x - 7	$2$	[2,0]	$29$	$1$	$5.38516480713$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$1.64723114637$
2.2.33.1	x^2 - x - 8	$2$	[2,0]	$3\cdot 11$	$2$	$5.74456264654$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$3.82816847133$
2.2.37.1	x^2 - x - 9	$2$	[2,0]	$37$	$1$	$6.0827625303$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$2.49177985264$
2.2.40.1	x^2 - 10	$2$	[2,0]	$2^{3}\cdot 5$	$2$	$6.32455532034$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$1.81844645923$
2.2.41.1	x^2 - x - 10	$2$	[2,0]	$41$	$1$	$6.40312423743$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$4.15912713463$
2.2.44.1	x^2 - 11	$2$	[2,0]	$2^{2}\cdot 11$	$2$	$6.63324958071$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$2.99322284613$
2.2.53.1	x^2 - x - 13	$2$	[2,0]	$53$	$1$	$7.28010988928$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$1.96572047165$
2.2.56.1	x^2 - 14	$2$	[2,0]	$2^{3}\cdot 7$	$2$	$7.48331477355$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$3.40008441411$
2.2.57.1	x^2 - x - 14	$2$	[2,0]	$3\cdot 19$	$2$	$7.54983443527$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$5.71041605276$
2.2.60.1	x^2 - 15	$2$	[2,0]	$2^{2}\cdot 3\cdot 5$	$3$	$7.74596669241$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$2.0634370689$
2.2.61.1	x^2 - x - 15	$2$	[2,0]	$61$	$1$	$7.81024967591$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$3.66421846089$
2.2.65.1	x^2 - x - 16	$2$	[2,0]	$5\cdot 13$	$2$	$8.0622577483$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$2.77647228072$
2.2.69.1	x^2 - x - 17	$2$	[2,0]	$3\cdot 23$	$2$	$8.30662386292$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$3.21727197116$
2.2.73.1	x^2 - x - 18	$2$	[2,0]	$73$	$1$	$8.54400374532$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$7.66669041926$
2.2.76.1	x^2 - 19	$2$	[2,0]	$2^{2}\cdot 19$	$2$	$8.71779788708$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$5.82893696698$
2.2.77.1	x^2 - x - 19	$2$	[2,0]	$7\cdot 11$	$2$	$8.77496438739$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$2.18464379161$
2.2.85.1	x^2 - x - 21	$2$	[2,0]	$5\cdot 17$	$2$	$9.21954445729$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$2.20934770862$
2.2.88.1	x^2 - 22	$2$	[2,0]	$2^{3}\cdot 11$	$2$	$9.38083151965$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$5.97634446743$
2.2.89.1	x^2 - x - 22	$2$	[2,0]	$89$	$1$	$9.43398113206$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$6.90775627898$
2.2.92.1	x^2 - 23	$2$	[2,0]	$2^{2}\cdot 23$	$2$	$9.59166304663$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$3.87076670029$
2.2.93.1	x^2 - x - 23	$2$	[2,0]	$3\cdot 31$	$2$	$9.64365076099$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$3.36610464293$
2.2.97.1	x^2 - x - 24	$2$	[2,0]	$97$	$1$	$9.8488578018$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$9.32438309598$
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)	$[2]$	$2$	$1$	$2.55897897703$