Number field search results

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

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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
2.0.167.1	x^2 - x + 42	$2$	[0,1]	$-\,167$	$1$	$12.9228479833$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.271.1	x^2 - x + 68	$2$	[0,1]	$-\,271$	$1$	$16.4620776332$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.659.1	x^2 - x + 165	$2$	[0,1]	$-\,659$	$1$	$25.670995306$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.967.1	x^2 - x + 242	$2$	[0,1]	$-\,967$	$1$	$31.0966236109$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.1283.1	x^2 - x + 321	$2$	[0,1]	$-\,1283$	$1$	$35.8189893771$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.2.1297.1	x^2 - x - 324	$2$	[2,0]	$1297$	$1$	$36.0138862107$		✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$1$	$4.27685896446$
2.0.1303.1	x^2 - x + 326	$2$	[0,1]	$-\,1303$	$1$	$36.0970912956$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.1307.1	x^2 - x + 327	$2$	[0,1]	$-\,1307$	$1$	$36.1524549651$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.1459.1	x^2 - x + 365	$2$	[0,1]	$-\,1459$	$1$	$38.1968585096$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.1531.1	x^2 - x + 383	$2$	[0,1]	$-\,1531$	$1$	$39.127995093$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.1699.1	x^2 - x + 425	$2$	[0,1]	$-\,1699$	$1$	$41.218927691$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.2027.1	x^2 - x + 507	$2$	[0,1]	$-\,2027$	$1$	$45.022216738$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.2267.1	x^2 - x + 567	$2$	[0,1]	$-\,2267$	$1$	$47.6130234285$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.2539.1	x^2 - x + 635	$2$	[0,1]	$-\,2539$	$1$	$50.3884907494$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.2731.1	x^2 - x + 683	$2$	[0,1]	$-\,2731$	$1$	$52.2589705218$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.2851.1	x^2 - x + 713	$2$	[0,1]	$-\,2851$	$1$	$53.3947562968$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.2971.1	x^2 - x + 743	$2$	[0,1]	$-\,2971$	$1$	$54.5068802996$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.3203.1	x^2 - x + 801	$2$	[0,1]	$-\,3203$	$1$	$56.5950527873$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.3347.1	x^2 - x + 837	$2$	[0,1]	$-\,3347$	$1$	$57.8532626565$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.3499.1	x^2 - x + 875	$2$	[0,1]	$-\,3499$	$1$	$59.1523456847$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.3739.1	x^2 - x + 935	$2$	[0,1]	$-\,3739$	$1$	$61.1473629848$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.3931.1	x^2 - x + 983	$2$	[0,1]	$-\,3931$	$1$	$62.6976873577$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.2.4009.1	x^2 - x - 1002	$2$	[2,0]	$19\cdot 211$	$2$	$63.3166644731$		✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$1$	$8.93564031643$
2.0.4051.1	x^2 - x + 1013	$2$	[0,1]	$-\,4051$	$1$	$63.6474665639$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.5179.1	x^2 - x + 1295	$2$	[0,1]	$-\,5179$	$1$	$71.9652694013$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.5683.1	x^2 - x + 1421	$2$	[0,1]	$-\,5683$	$1$	$75.3856750318$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.2.6081.1	x^2 - x - 1520	$2$	[2,0]	$3\cdot 2027$	$2$	$77.9807668595$		✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$1$	$9.00085313191$
2.0.6163.1	x^2 - x + 1541	$2$	[0,1]	$-\,6163$	$1$	$78.5047769247$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.6547.1	x^2 - x + 1637	$2$	[0,1]	$-\,6547$	$1$	$80.9135340966$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.7027.1	x^2 - x + 1757	$2$	[0,1]	$-\,7027$	$1$	$83.8272032219$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.7507.1	x^2 - x + 1877	$2$	[0,1]	$-\,7507$	$1$	$86.6429454716$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.7603.1	x^2 - x + 1901	$2$	[0,1]	$-\,7603$	$1$	$87.1951833532$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.7867.1	x^2 - x + 1967	$2$	[0,1]	$-\,7867$	$1$	$88.6961103995$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.8443.1	x^2 - x + 2111	$2$	[0,1]	$-\,8443$	$1$	$91.8857986851$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.9283.1	x^2 - x + 2321	$2$	[0,1]	$-\,9283$	$1$	$96.3483263996$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.9403.1	x^2 - x + 2351	$2$	[0,1]	$-\,9403$	$1$	$96.9690672328$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.9643.1	x^2 - x + 2411	$2$	[0,1]	$-\,9643$	$1$	$98.1987779965$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.9787.1	x^2 - x + 2447	$2$	[0,1]	$-\,9787$	$1$	$98.9292676613$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.2.10401.1	x^2 - x - 2600	$2$	[2,0]	$3\cdot 3467$	$2$	$101.985293057$		✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$1$	$9.53748350811$
2.0.10987.1	x^2 - x + 2747	$2$	[0,1]	$-\,10987$	$1$	$104.818891427$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.2.12161.1	x^2 - x - 3040	$2$	[2,0]	$12161$	$1$	$110.27692415$		✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$1$	$9.57052914008$
2.2.12281.1	x^2 - x - 3070	$2$	[2,0]	$12281$	$1$	$110.819673344$		✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$1$	$9.51192535507$
2.2.12589.1	x^2 - x - 3147	$2$	[2,0]	$12589$	$1$	$112.20071301$		✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$1$	$6.32972408293$
2.0.13003.1	x^2 - x + 3251	$2$	[0,1]	$-\,13003$	$1$	$114.030697621$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.13267.1	x^2 - x + 3317	$2$	[0,1]	$-\,13267$	$1$	$115.182463943$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.2.14009.1	x^2 - x - 3502	$2$	[2,0]	$14009$	$1$	$118.359621493$		✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$1$	$11.2257765839$
2.0.14107.1	x^2 - x + 3527	$2$	[0,1]	$-\,14107$	$1$	$118.77289253$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.14683.1	x^2 - x + 3671	$2$	[0,1]	$-\,14683$	$1$	$121.173429431$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.0.15667.1	x^2 - x + 3917	$2$	[0,1]	$-\,15667$	$1$	$125.167887255$	✓	✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$0$	$1$
2.2.16333.1	x^2 - x - 4083	$2$	[2,0]	$16333$	$1$	$127.800625977$		✓	✓	$C_2$ (as 2T1)	$[11]$	$2$	$1$	$6.45990690342$

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