Number field search results

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

Results (1-50 of 1452423 matches)

 

Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	Galois root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
2.0.39.1	$x^{2} - x + 10$	$2$	[0,1]	$-\,3\cdot 13$	$2$	$6.2449979984$	$6.244997998398398$	✓	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	0	$1$
2.0.55.1	$x^{2} - x + 14$	$2$	[0,1]	$-\,5\cdot 11$	$2$	$7.4161984871$	$7.416198487095663$	✓	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	0	$1$
2.0.56.1	$x^{2} + 14$	$2$	[0,1]	$-\,2^{3}\cdot 7$	$2$	$7.48331477355$	$7.483314773547883$	✓	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	0	$1$
2.0.68.1	$x^{2} + 17$	$2$	[0,1]	$-\,2^{2}\cdot 17$	$2$	$8.24621125124$	$8.246211251235321$	✓	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	0	$1$
2.0.84.1	$x^{2} + 21$	$2$	[0,1]	$-\,2^{2}\cdot 3\cdot 7$	$3$	$9.16515138991$	$9.16515138991168$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	0	$1$
2.0.120.1	$x^{2} + 30$	$2$	[0,1]	$-\,2^{3}\cdot 3\cdot 5$	$3$	$10.9544511501$	$10.954451150103322$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	0	$1$
2.0.132.1	$x^{2} + 33$	$2$	[0,1]	$-\,2^{2}\cdot 3\cdot 11$	$3$	$11.4891252931$	$11.489125293076057$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	0	$1$
2.0.136.1	$x^{2} + 34$	$2$	[0,1]	$-\,2^{3}\cdot 17$	$2$	$11.6619037897$	$11.661903789690601$	✓	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	0	$1$
2.2.145.1	$x^{2} - x - 36$	$2$	[2,0]	$5\cdot 29$	$2$	$12.0415945788$	$12.041594578792296$		✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	$1$	$3.1797854377$
2.0.155.1	$x^{2} - x + 39$	$2$	[0,1]	$-\,5\cdot 31$	$2$	$12.449899598$	$12.449899597988733$	✓	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	0	$1$
2.0.168.1	$x^{2} + 42$	$2$	[0,1]	$-\,2^{3}\cdot 3\cdot 7$	$3$	$12.9614813968$	$12.96148139681572$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	0	$1$
2.0.184.1	$x^{2} + 46$	$2$	[0,1]	$-\,2^{3}\cdot 23$	$2$	$13.5646599663$	$13.564659966250536$	✓	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	0	$1$
2.0.195.1	$x^{2} - x + 49$	$2$	[0,1]	$-\,3\cdot 5\cdot 13$	$3$	$13.9642400438$	$13.96424004376894$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	0	$1$
2.0.203.1	$x^{2} - x + 51$	$2$	[0,1]	$-\,7\cdot 29$	$2$	$14.2478068488$	$14.247806848775006$	✓	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	0	$1$
2.0.219.1	$x^{2} - x + 55$	$2$	[0,1]	$-\,3\cdot 73$	$2$	$14.7986485869$	$14.798648586948742$	✓	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	0	$1$
2.0.228.1	$x^{2} + 57$	$2$	[0,1]	$-\,2^{2}\cdot 3\cdot 19$	$3$	$15.0996688705$	$15.0996688705415$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	0	$1$
2.0.259.1	$x^{2} - x + 65$	$2$	[0,1]	$-\,7\cdot 37$	$2$	$16.0934769394$	$16.09347693943108$	✓	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	0	$1$
2.0.280.1	$x^{2} + 70$	$2$	[0,1]	$-\,2^{3}\cdot 5\cdot 7$	$3$	$16.7332005307$	$16.73320053068151$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	0	$1$
2.0.291.1	$x^{2} - x + 73$	$2$	[0,1]	$-\,3\cdot 97$	$2$	$17.0587221092$	$17.05872210923198$	✓	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	0	$1$
2.0.292.1	$x^{2} + 73$	$2$	[0,1]	$-\,2^{2}\cdot 73$	$2$	$17.0880074906$	$17.08800749063506$	✓	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	0	$1$
2.0.312.1	$x^{2} + 78$	$2$	[0,1]	$-\,2^{3}\cdot 3\cdot 13$	$3$	$17.6635217327$	$17.663521732655695$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	0	$1$
2.0.323.1	$x^{2} - x + 81$	$2$	[0,1]	$-\,17\cdot 19$	$2$	$17.9722007556$	$17.97220075561143$	✓	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	0	$1$
2.0.328.1	$x^{2} + 82$	$2$	[0,1]	$-\,2^{3}\cdot 41$	$2$	$18.1107702763$	$18.110770276274835$	✓	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	0	$1$
2.2.328.1	$x^{2} - 82$	$2$	[2,0]	$2^{3}\cdot 41$	$2$	$18.1107702763$	$18.110770276274835$		✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	$1$	$2.89344398589$
2.0.340.1	$x^{2} + 85$	$2$	[0,1]	$-\,2^{2}\cdot 5\cdot 17$	$3$	$18.4390889146$	$18.439088914585774$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	0	$1$
2.0.355.1	$x^{2} - x + 89$	$2$	[0,1]	$-\,5\cdot 71$	$2$	$18.8414436814$	$18.841443681416774$	✓	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	0	$1$
2.0.372.1	$x^{2} + 93$	$2$	[0,1]	$-\,2^{2}\cdot 3\cdot 31$	$3$	$19.287301522$	$19.28730152198591$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	0	$1$
2.0.388.1	$x^{2} + 97$	$2$	[0,1]	$-\,2^{2}\cdot 97$	$2$	$19.6977156036$	$19.697715603592208$	✓	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	0	$1$
2.0.408.1	$x^{2} + 102$	$2$	[0,1]	$-\,2^{3}\cdot 3\cdot 17$	$3$	$20.1990098767$	$20.199009876724155$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	0	$1$
2.0.435.1	$x^{2} - x + 109$	$2$	[0,1]	$-\,3\cdot 5\cdot 29$	$3$	$20.8566536146$	$20.85665361461421$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	0	$1$
2.2.445.1	$x^{2} - x - 111$	$2$	[2,0]	$5\cdot 89$	$2$	$21.0950231097$	$21.095023109728988$		✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	$1$	$3.04678233722$
2.0.483.1	$x^{2} - x + 121$	$2$	[0,1]	$-\,3\cdot 7\cdot 23$	$3$	$21.9772609758$	$21.97726097583591$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	0	$1$
2.2.505.1	$x^{2} - x - 126$	$2$	[2,0]	$5\cdot 101$	$2$	$22.4722050542$	$22.47220505424423$		✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	$1$	$7.38894571564$
2.0.520.1	$x^{2} + 130$	$2$	[0,1]	$-\,2^{3}\cdot 5\cdot 13$	$3$	$22.803508502$	$22.80350850198276$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	0	$1$
2.2.520.1	$x^{2} - 130$	$2$	[2,0]	$2^{3}\cdot 5\cdot 13$	$3$	$22.803508502$	$22.80350850198276$		✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$4.73627538627$
2.0.532.1	$x^{2} + 133$	$2$	[0,1]	$-\,2^{2}\cdot 7\cdot 19$	$3$	$23.0651251893$	$23.065125189341593$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	0	$1$
2.0.555.1	$x^{2} - x + 139$	$2$	[0,1]	$-\,3\cdot 5\cdot 37$	$3$	$23.5584379788$	$23.558437978779494$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	0	$1$
2.0.568.1	$x^{2} + 142$	$2$	[0,1]	$-\,2^{3}\cdot 71$	$2$	$23.8327505756$	$23.83275057562597$	✓	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	0	$1$
2.0.595.1	$x^{2} - x + 149$	$2$	[0,1]	$-\,5\cdot 7\cdot 17$	$3$	$24.3926218353$	$24.392621835300936$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	0	$1$
2.0.627.1	$x^{2} - x + 157$	$2$	[0,1]	$-\,3\cdot 11\cdot 19$	$3$	$25.0399680511$	$25.03996805109783$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	0	$1$
2.0.667.1	$x^{2} - x + 167$	$2$	[0,1]	$-\,23\cdot 29$	$2$	$25.8263431403$	$25.826343140289914$	✓	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	0	$1$
2.2.680.1	$x^{2} - 170$	$2$	[2,0]	$2^{3}\cdot 5\cdot 17$	$3$	$26.0768096208$	$26.076809620810597$		✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$3.25957255626$
2.2.689.1	$x^{2} - x - 172$	$2$	[2,0]	$13\cdot 53$	$2$	$26.2488094968$	$26.248809496813376$		✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	$1$	$5.34708485421$
2.0.708.1	$x^{2} + 177$	$2$	[0,1]	$-\,2^{2}\cdot 3\cdot 59$	$3$	$26.6082693913$	$26.60826939130014$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	0	$1$
2.0.715.1	$x^{2} - x + 179$	$2$	[0,1]	$-\,5\cdot 11\cdot 13$	$3$	$26.7394839142$	$26.739483914241877$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	0	$1$
2.0.723.1	$x^{2} - x + 181$	$2$	[0,1]	$-\,3\cdot 241$	$2$	$26.8886593195$	$26.888659319497503$	✓	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	0	$1$
2.0.760.1	$x^{2} + 190$	$2$	[0,1]	$-\,2^{3}\cdot 5\cdot 19$	$3$	$27.5680975042$	$27.568097504180443$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	0	$1$
2.0.763.1	$x^{2} - x + 191$	$2$	[0,1]	$-\,7\cdot 109$	$2$	$27.6224546339$	$27.622454633866266$	✓	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	0	$1$
2.0.772.1	$x^{2} + 193$	$2$	[0,1]	$-\,2^{2}\cdot 193$	$2$	$27.7848879789$	$27.784887978899608$	✓	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	0	$1$
2.2.777.1	$x^{2} - x - 194$	$2$	[2,0]	$3\cdot 7\cdot 37$	$3$	$27.8747197295$	$27.874719729532707$		✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	$1$	$6.10031392473$