Number field search results

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

Results (1-50 of )

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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
2.0.199.1	x^2 - x + 50	$2$	[0,1]	$-\,199$	$1$	$14.1067359797$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.0.367.1	x^2 - x + 92	$2$	[0,1]	$-\,367$	$1$	$19.1572440607$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.0.419.1	x^2 - x + 105	$2$	[0,1]	$-\,419$	$1$	$20.4694894905$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.0.491.1	x^2 - x + 123	$2$	[0,1]	$-\,491$	$1$	$22.1585198062$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.0.563.1	x^2 - x + 141	$2$	[0,1]	$-\,563$	$1$	$23.7276210354$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.0.823.1	x^2 - x + 206	$2$	[0,1]	$-\,823$	$1$	$28.6879765756$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.0.1087.1	x^2 - x + 272	$2$	[0,1]	$-\,1087$	$1$	$32.9696830437$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.2.1129.1	x^2 - x - 282	$2$	[2,0]	$1129$	$1$	$33.6005952328$		✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$1$	$5.81712001756$
2.0.1187.1	x^2 - x + 297	$2$	[0,1]	$-\,1187$	$1$	$34.4528663539$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.0.1291.1	x^2 - x + 323	$2$	[0,1]	$-\,1291$	$1$	$35.9304884464$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.0.1423.1	x^2 - x + 356	$2$	[0,1]	$-\,1423$	$1$	$37.7226722277$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.0.1579.1	x^2 - x + 395	$2$	[0,1]	$-\,1579$	$1$	$39.7366329726$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.0.2003.1	x^2 - x + 501	$2$	[0,1]	$-\,2003$	$1$	$44.7548880012$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.0.2803.1	x^2 - x + 701	$2$	[0,1]	$-\,2803$	$1$	$52.9433659678$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.2.3137.1	x^2 - x - 784	$2$	[2,0]	$3137$	$1$	$56.0089278598$		✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$1$	$4.71857858115$
2.0.3163.1	x^2 - x + 791	$2$	[0,1]	$-\,3163$	$1$	$56.2405547626$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.0.3259.1	x^2 - x + 815	$2$	[0,1]	$-\,3259$	$1$	$57.0876519048$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.0.3307.1	x^2 - x + 827	$2$	[0,1]	$-\,3307$	$1$	$57.5065213693$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.0.3547.1	x^2 - x + 887	$2$	[0,1]	$-\,3547$	$1$	$59.5566956773$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.0.3643.1	x^2 - x + 911	$2$	[0,1]	$-\,3643$	$1$	$60.3572696533$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.0.4027.1	x^2 - x + 1007	$2$	[0,1]	$-\,4027$	$1$	$63.4586479528$	✓	✓	✓	$C_2$ (as 2T1)	$[3, 3]$	$2$	$0$	$1$
2.0.4243.1	x^2 - x + 1061	$2$	[0,1]	$-\,4243$	$1$	$65.1383143779$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.0.4363.1	x^2 - x + 1091	$2$	[0,1]	$-\,4363$	$1$	$66.0530090155$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.2.4409.1	x^2 - x - 1102	$2$	[2,0]	$4409$	$1$	$66.4003012041$		✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$1$	$6.49828441758$
2.0.4483.1	x^2 - x + 1121	$2$	[0,1]	$-\,4483$	$1$	$66.9552089086$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.0.4723.1	x^2 - x + 1181	$2$	[0,1]	$-\,4723$	$1$	$68.7240860252$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.0.4987.1	x^2 - x + 1247	$2$	[0,1]	$-\,4987$	$1$	$70.6186944088$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.0.5443.1	x^2 - x + 1361	$2$	[0,1]	$-\,5443$	$1$	$73.7766900857$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.2.5521.1	x^2 - x - 1380	$2$	[2,0]	$5521$	$1$	$74.303431953$		✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$1$	$13.3500788615$
2.0.6043.1	x^2 - x + 1511	$2$	[0,1]	$-\,6043$	$1$	$77.7367352029$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.0.6427.1	x^2 - x + 1607	$2$	[0,1]	$-\,6427$	$1$	$80.1685723959$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.2.6616.1	x^2 - 1654	$2$	[2,0]	$2^{3}\cdot 827$	$2$	$81.3387976307$		✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$1$	$10.3012564529$
2.0.6763.1	x^2 - x + 1691	$2$	[0,1]	$-\,6763$	$1$	$82.2374610503$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.2.6809.1	x^2 - x - 1702	$2$	[2,0]	$11\cdot 619$	$2$	$82.5166649835$		✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$1$	$9.20049202572$
2.0.6883.1	x^2 - x + 1721	$2$	[0,1]	$-\,6883$	$1$	$82.9638475482$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.2.7573.1	x^2 - x - 1893	$2$	[2,0]	$7573$	$1$	$87.0229854694$		✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$1$	$4.46604021033$
2.0.7723.1	x^2 - x + 1931	$2$	[0,1]	$-\,7723$	$1$	$87.8806008172$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.2.7873.1	x^2 - x - 1968	$2$	[2,0]	$7873$	$1$	$88.7299273075$		✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$1$	$10.0987253363$
2.0.8563.1	x^2 - x + 2141	$2$	[0,1]	$-\,8563$	$1$	$92.5364792933$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.0.8803.1	x^2 - x + 2201	$2$	[0,1]	$-\,8803$	$1$	$93.8243038876$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.0.9067.1	x^2 - x + 2267	$2$	[0,1]	$-\,9067$	$1$	$95.2207960479$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.2.10273.1	x^2 - x - 2568	$2$	[2,0]	$10273$	$1$	$101.355808911$		✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$1$	$14.8795893712$
2.0.10627.1	x^2 - x + 2657	$2$	[0,1]	$-\,10627$	$1$	$103.087341609$	✓	✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$0$	$1$
2.2.10721.1	x^2 - x - 2680	$2$	[2,0]	$71\cdot 151$	$2$	$103.542261903$		✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$1$	$12.7596761099$
2.2.11641.1	x^2 - x - 2910	$2$	[2,0]	$7\cdot 1663$	$2$	$107.893465975$		✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$1$	$21.916229552$
2.2.12409.1	x^2 - x - 3102	$2$	[2,0]	$12409$	$1$	$111.39569112$		✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$1$	$20.7031993244$
2.2.12657.1	x^2 - x - 3164	$2$	[2,0]	$3\cdot 4219$	$2$	$112.503333284$		✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$1$	$11.1199125058$
2.2.13069.1	x^2 - x - 3267	$2$	[2,0]	$7\cdot 1867$	$2$	$114.319727082$		✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$1$	$9.72943173662$
2.2.14876.1	x^2 - 3719	$2$	[2,0]	$2^{2}\cdot 3719$	$2$	$121.967208708$		✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$1$	$8.91462610976$
2.2.15629.1	x^2 - x - 3907	$2$	[2,0]	$15629$	$1$	$125.015998976$		✓	✓	$C_2$ (as 2T1)	$[9]$	$2$	$1$	$4.82837773116$

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