Number field search results

Note: Search results may be incomplete due to uncomputed quantities: Class number (222541 objects)

Results (1-50 of 87636 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	Unit signature rank	Max $p$
2.0.335.1	$x^{2} - x + 84$	$2$	(0, 1)	$-\,5\cdot 67$	$2$	$18.3030052177$	$18.303005217723125$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$67$
2.0.519.1	$x^{2} - x + 130$	$2$	(0, 1)	$-\,3\cdot 173$	$2$	$22.7815714998$	$22.781571499789035$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$173$
2.0.527.1	$x^{2} - x + 132$	$2$	(0, 1)	$-\,17\cdot 31$	$2$	$22.9564805665$	$22.956480566497994$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$31$
2.0.679.1	$x^{2} - x + 170$	$2$	(0, 1)	$-\,7\cdot 97$	$2$	$26.0576284416$	$26.057628441590765$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$97$
2.0.1135.1	$x^{2} - x + 284$	$2$	(0, 1)	$-\,5\cdot 227$	$2$	$33.6897610558$	$33.689761055846034$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$227$
2.0.1172.1	$x^{2} + 293$	$2$	(0, 1)	$-\,2^{2}\cdot 293$	$2$	$34.2344855372$	$34.23448553724738$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$293$
2.0.1207.1	$x^{2} - x + 302$	$2$	(0, 1)	$-\,17\cdot 71$	$2$	$34.7419055321$	$34.741905532080416$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$71$
2.0.1383.1	$x^{2} - x + 346$	$2$	(0, 1)	$-\,3\cdot 461$	$2$	$37.1887079636$	$37.1887079635741$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$461$
2.0.1448.1	$x^{2} + 362$	$2$	(0, 1)	$-\,2^{3}\cdot 181$	$2$	$38.0525951809$	$38.05259518088089$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$181$
2.0.1687.1	$x^{2} - x + 422$	$2$	(0, 1)	$-\,7\cdot 241$	$2$	$41.0731055558$	$41.0731055558257$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$241$
2.0.1691.1	$x^{2} - x + 423$	$2$	(0, 1)	$-\,19\cdot 89$	$2$	$41.1217703899$	$41.12177038990418$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$89$
2.0.1927.1	$x^{2} - x + 482$	$2$	(0, 1)	$-\,41\cdot 47$	$2$	$43.8976081353$	$43.89760813529594$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$47$
2.0.2047.1	$x^{2} - x + 512$	$2$	(0, 1)	$-\,23\cdot 89$	$2$	$45.2437841035$	$45.24378410345447$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$89$
2.0.2051.1	$x^{2} - x + 513$	$2$	(0, 1)	$-\,7\cdot 293$	$2$	$45.2879674969$	$45.28796749689701$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$293$
2.0.2167.1	$x^{2} - x + 542$	$2$	(0, 1)	$-\,11\cdot 197$	$2$	$46.5510472492$	$46.551047249229526$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$197$
2.0.2228.1	$x^{2} + 557$	$2$	(0, 1)	$-\,2^{2}\cdot 557$	$2$	$47.2016948848$	$47.20169488482379$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$557$
2.0.2291.1	$x^{2} - x + 573$	$2$	(0, 1)	$-\,29\cdot 79$	$2$	$47.8643917751$	$47.86439177509728$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$79$
2.0.2315.1	$x^{2} - x + 579$	$2$	(0, 1)	$-\,5\cdot 463$	$2$	$48.1144468949$	$48.11444689487763$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$463$
2.0.2344.1	$x^{2} + 586$	$2$	(0, 1)	$-\,2^{3}\cdot 293$	$2$	$48.4148737476$	$48.41487374764082$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$293$
2.0.2644.1	$x^{2} + 661$	$2$	(0, 1)	$-\,2^{2}\cdot 661$	$2$	$51.4198405287$	$51.419840528729765$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$661$
2.0.2747.1	$x^{2} - x + 687$	$2$	(0, 1)	$-\,41\cdot 67$	$2$	$52.4118307255$	$52.41183072551463$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$67$
2.0.2859.1	$x^{2} - x + 715$	$2$	(0, 1)	$-\,3\cdot 953$	$2$	$53.4696175412$	$53.4696175411794$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$953$
2.0.3035.1	$x^{2} - x + 759$	$2$	(0, 1)	$-\,5\cdot 607$	$2$	$55.0908340834$	$55.09083408335728$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$607$
2.0.3107.1	$x^{2} - x + 777$	$2$	(0, 1)	$-\,13\cdot 239$	$2$	$55.7404700375$	$55.74047003748713$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$239$
2.0.3543.1	$x^{2} - x + 886$	$2$	(0, 1)	$-\,3\cdot 1181$	$2$	$59.5231047577$	$59.52310475773252$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$1181$
2.0.3544.1	$x^{2} + 886$	$2$	(0, 1)	$-\,2^{3}\cdot 443$	$2$	$59.5315042645$	$59.531504264548865$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$443$
2.0.3651.1	$x^{2} - x + 913$	$2$	(0, 1)	$-\,3\cdot 1217$	$2$	$60.4235053601$	$60.423505360083176$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$1217$
2.0.3688.1	$x^{2} + 922$	$2$	(0, 1)	$-\,2^{3}\cdot 461$	$2$	$60.7289058028$	$60.728905802755904$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$461$
2.0.4072.1	$x^{2} + 1018$	$2$	(0, 1)	$-\,2^{3}\cdot 509$	$2$	$63.8122245342$	$63.812224534175265$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$509$
2.0.4299.1	$x^{2} - x + 1075$	$2$	(0, 1)	$-\,3\cdot 1433$	$2$	$65.5667598711$	$65.56675987114203$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$1433$
2.0.4307.1	$x^{2} - x + 1077$	$2$	(0, 1)	$-\,59\cdot 73$	$2$	$65.6277380381$	$65.62773803811922$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$73$
2.0.4568.1	$x^{2} + 1142$	$2$	(0, 1)	$-\,2^{3}\cdot 571$	$2$	$67.5869809949$	$67.58698099486321$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$571$
2.0.4819.1	$x^{2} - x + 1205$	$2$	(0, 1)	$-\,61\cdot 79$	$2$	$69.4190175672$	$69.41901756723442$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$79$
2.0.4883.1	$x^{2} - x + 1221$	$2$	(0, 1)	$-\,19\cdot 257$	$2$	$69.8784659248$	$69.87846592477543$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$257$
2.0.5224.1	$x^{2} + 1306$	$2$	(0, 1)	$-\,2^{3}\cdot 653$	$2$	$72.2772439984$	$72.27724399837061$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$653$
2.0.5315.1	$x^{2} - x + 1329$	$2$	(0, 1)	$-\,5\cdot 1063$	$2$	$72.9040465269$	$72.90404652692469$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$1063$
2.0.5464.1	$x^{2} + 1366$	$2$	(0, 1)	$-\,2^{3}\cdot 683$	$2$	$73.9188744503$	$73.91887445030531$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$683$
2.0.5492.1	$x^{2} + 1373$	$2$	(0, 1)	$-\,2^{2}\cdot 1373$	$2$	$74.1080292546$	$74.10802925459562$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$1373$
2.0.5539.1	$x^{2} - x + 1385$	$2$	(0, 1)	$-\,29\cdot 191$	$2$	$74.4244583454$	$74.42445834535849$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$191$
2.0.5899.1	$x^{2} - x + 1475$	$2$	(0, 1)	$-\,17\cdot 347$	$2$	$76.8049477573$	$76.8049477572897$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$347$
2.0.6196.1	$x^{2} + 1549$	$2$	(0, 1)	$-\,2^{2}\cdot 1549$	$2$	$78.7146746166$	$78.71467461661771$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$1549$
2.0.6227.1	$x^{2} - x + 1557$	$2$	(0, 1)	$-\,13\cdot 479$	$2$	$78.9113426574$	$78.91134265744057$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$479$
2.0.6331.1	$x^{2} - x + 1583$	$2$	(0, 1)	$-\,13\cdot 487$	$2$	$79.5675813381$	$79.56758133813042$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$487$
2.0.6387.1	$x^{2} - x + 1597$	$2$	(0, 1)	$-\,3\cdot 2129$	$2$	$79.9187086983$	$79.91870869827665$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$2129$
2.0.6484.1	$x^{2} + 1621$	$2$	(0, 1)	$-\,2^{2}\cdot 1621$	$2$	$80.5232885568$	$80.52328855678958$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$1621$
2.0.6739.1	$x^{2} - x + 1685$	$2$	(0, 1)	$-\,23\cdot 293$	$2$	$82.091412462$	$82.09141246196218$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$293$
2.0.6835.1	$x^{2} - x + 1709$	$2$	(0, 1)	$-\,5\cdot 1367$	$2$	$82.6740588093$	$82.67405880927826$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$1367$
2.0.7323.1	$x^{2} - x + 1831$	$2$	(0, 1)	$-\,3\cdot 2441$	$2$	$85.5745289207$	$85.57452892070164$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$2441$
2.0.7339.1	$x^{2} - x + 1835$	$2$	(0, 1)	$-\,41\cdot 179$	$2$	$85.6679636737$	$85.66796367370944$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$179$
2.2.7465.1	$x^{2} - x - 1866$	$2$	(2, 0)	$5\cdot 1493$	$2$	$86.4002314812$	$86.40023148117139$		✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	$1$	$6.76157410839$	$2$	$1493$

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