Number field search results

Results (1-50 of 687650 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	Unit group torsion	Unit group rank	Regulator
2.0.24.1	$x^{2} + 6$	$2$	[0,1]	$-\,2^{3}\cdot 3$	$2$	$4.89897948557$	$4.898979485566356$	✓	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	0	$1$
2.2.40.1	$x^{2} - 10$	$2$	[2,0]	$2^{3}\cdot 5$	$2$	$6.32455532034$	$6.324555320336759$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$1.81844645923$
2.0.88.1	$x^{2} + 22$	$2$	[0,1]	$-\,2^{3}\cdot 11$	$2$	$9.38083151965$	$9.38083151964686$	✓	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	0	$1$
2.2.104.1	$x^{2} - 26$	$2$	[2,0]	$2^{3}\cdot 13$	$2$	$10.1980390272$	$10.198039027185569$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$2.31243834127$
2.0.152.1	$x^{2} + 38$	$2$	[0,1]	$-\,2^{3}\cdot 19$	$2$	$12.3288280059$	$12.328828005937952$	✓	✓	✓	$C_2$ (as 2T1)	$[6]$	$2$	0	$1$
2.2.168.1	$x^{2} - 42$	$2$	[2,0]	$2^{3}\cdot 3\cdot 7$	$3$	$12.9614813968$	$12.96148139681572$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$3.2566139548$
2.2.232.1	$x^{2} - 58$	$2$	[2,0]	$2^{3}\cdot 29$	$2$	$15.2315462117$	$15.231546211727817$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$5.28829253732$
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	$1$
2.2.296.1	$x^{2} - 74$	$2$	[2,0]	$2^{3}\cdot 37$	$2$	$17.2046505341$	$17.204650534085253$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$4.45448247706$
2.0.344.1	$x^{2} + 86$	$2$	[0,1]	$-\,2^{3}\cdot 43$	$2$	$18.547236991$	$18.547236990991408$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$2$	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	$1$
2.2.424.1	$x^{2} - 106$	$2$	[2,0]	$2^{3}\cdot 53$	$2$	$20.591260282$	$20.591260281974$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$8.98844605565$
2.0.472.1	$x^{2} + 118$	$2$	[0,1]	$-\,2^{3}\cdot 59$	$2$	$21.7255609824$	$21.72556098240043$	✓	✓	✓	$C_2$ (as 2T1)	$[6]$	$2$	0	$1$
2.2.488.1	$x^{2} - 122$	$2$	[2,0]	$2^{3}\cdot 61$	$2$	$22.0907220344$	$22.090722034374522$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$3.09310219505$
2.0.536.1	$x^{2} + 134$	$2$	[0,1]	$-\,2^{3}\cdot 67$	$2$	$23.1516738056$	$23.15167380558045$	✓	✓	✓	$C_2$ (as 2T1)	$[14]$	$2$	0	$1$
2.2.552.1	$x^{2} - 138$	$2$	[2,0]	$2^{3}\cdot 3\cdot 23$	$3$	$23.4946802489$	$23.49468024894146$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$4.54318158967$
2.2.616.1	$x^{2} - 154$	$2$	[2,0]	$2^{3}\cdot 7\cdot 11$	$3$	$24.819347292$	$24.819347291981714$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$10.6593747624$
2.0.664.1	$x^{2} + 166$	$2$	[0,1]	$-\,2^{3}\cdot 83$	$2$	$25.7681974535$	$25.768197453450252$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$2$	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)	$[2, 2]$	$2$	$1$	$3.25957255626$
2.0.728.1	$x^{2} + 182$	$2$	[0,1]	$-\,2^{3}\cdot 7\cdot 13$	$3$	$26.9814751265$	$26.981475126464083$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	0	$1$
2.2.744.1	$x^{2} - 186$	$2$	[2,0]	$2^{3}\cdot 3\cdot 31$	$3$	$27.276363394$	$27.27636339397171$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$9.61593880009$
2.2.808.1	$x^{2} - 202$	$2$	[2,0]	$2^{3}\cdot 101$	$2$	$28.4253408071$	$28.42534080710379$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$8.74544370544$
2.0.856.1	$x^{2} + 214$	$2$	[0,1]	$-\,2^{3}\cdot 107$	$2$	$29.2574776767$	$29.257477676655586$	✓	✓	✓	$C_2$ (as 2T1)	$[6]$	$2$	0	$1$
2.2.872.1	$x^{2} - 218$	$2$	[2,0]	$2^{3}\cdot 109$	$2$	$29.5296461205$	$29.5296461204668$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$6.21860408786$
2.0.920.1	$x^{2} + 230$	$2$	[0,1]	$-\,2^{3}\cdot 5\cdot 23$	$3$	$30.3315017762$	$30.331501776206203$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 10]$	$2$	0	$1$
2.0.984.1	$x^{2} + 246$	$2$	[0,1]	$-\,2^{3}\cdot 3\cdot 41$	$3$	$31.3687742827$	$31.368774282716245$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$2$	0	$1$
2.0.1048.1	$x^{2} + 262$	$2$	[0,1]	$-\,2^{3}\cdot 131$	$2$	$32.3728281125$	$32.37282811247729$	✓	✓	✓	$C_2$ (as 2T1)	$[6]$	$2$	0	$1$
2.2.1064.1	$x^{2} - 266$	$2$	[2,0]	$2^{3}\cdot 7\cdot 19$	$3$	$32.6190128606$	$32.61901286060018$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$7.22256548603$
2.0.1112.1	$x^{2} + 278$	$2$	[0,1]	$-\,2^{3}\cdot 139$	$2$	$33.3466640011$	$33.34666400106613$	✓	✓	✓	$C_2$ (as 2T1)	$[14]$	$2$	0	$1$
2.2.1128.1	$x^{2} - 282$	$2$	[2,0]	$2^{3}\cdot 3\cdot 47$	$3$	$33.5857112475$	$33.58571124749333$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$8.45574318387$
2.2.1192.1	$x^{2} - 298$	$2$	[2,0]	$2^{3}\cdot 149$	$2$	$34.5253530033$	$34.52535300326414$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$13.6159785473$
2.0.1240.1	$x^{2} + 310$	$2$	[0,1]	$-\,2^{3}\cdot 5\cdot 31$	$3$	$35.2136337233$	$35.21363372331802$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 4]$	$2$	0	$1$
2.2.1256.1	$x^{2} - 314$	$2$	[2,0]	$2^{3}\cdot 157$	$2$	$35.4400902933$	$35.4400902933387$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$6.78671822449$
2.0.1304.1	$x^{2} + 326$	$2$	[0,1]	$-\,2^{3}\cdot 163$	$2$	$36.1109401705$	$36.11094017053558$	✓	✓	✓	$C_2$ (as 2T1)	$[22]$	$2$	0	$1$
2.2.1320.1	$x^{2} - 330$	$2$	[2,0]	$2^{3}\cdot 3\cdot 5\cdot 11$	$4$	$36.3318042492$	$36.3318042491699$		✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$5.38447402013$
2.2.1384.1	$x^{2} - 346$	$2$	[2,0]	$2^{3}\cdot 173$	$2$	$37.2021504755$	$37.20215047547655$		✓	✓	$C_2$ (as 2T1)	$[6]$	$2$	$1$	$5.22577557754$
2.0.1432.1	$x^{2} + 358$	$2$	[0,1]	$-\,2^{3}\cdot 179$	$2$	$37.8417758568$	$37.841775856849004$	✓	✓	✓	$C_2$ (as 2T1)	$[6]$	$2$	0	$1$
2.2.1448.1	$x^{2} - 362$	$2$	[2,0]	$2^{3}\cdot 181$	$2$	$38.0525951809$	$38.05259518088089$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$3.63827796223$
2.0.1496.1	$x^{2} + 374$	$2$	[0,1]	$-\,2^{3}\cdot 11\cdot 17$	$3$	$38.6781592116$	$38.67815921162743$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 14]$	$2$	0	$1$
2.0.1560.1	$x^{2} + 390$	$2$	[0,1]	$-\,2^{3}\cdot 3\cdot 5\cdot 13$	$4$	$39.4968353163$	$39.496835316262995$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2, 4]$	$2$	0	$1$
2.2.1576.1	$x^{2} - 394$	$2$	[2,0]	$2^{3}\cdot 197$	$2$	$39.6988664826$	$39.698866482558415$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$20.4876018182$
2.0.1624.1	$x^{2} + 406$	$2$	[0,1]	$-\,2^{3}\cdot 7\cdot 29$	$3$	$40.2988833592$	$40.29888335921977$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 8]$	$2$	0	$1$
2.2.1640.1	$x^{2} - 410$	$2$	[2,0]	$2^{3}\cdot 5\cdot 41$	$3$	$40.4969134626$	$40.496913462633174$		✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$5.08755822911$
2.0.1688.1	$x^{2} + 422$	$2$	[0,1]	$-\,2^{3}\cdot 211$	$2$	$41.0852771683$	$41.08527716834828$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$2$	0	$1$
2.2.1704.1	$x^{2} - 426$	$2$	[2,0]	$2^{3}\cdot 3\cdot 71$	$3$	$41.2795348811$	$41.27953488110059$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$12.0867371554$
2.0.1752.1	$x^{2} + 438$	$2$	[0,1]	$-\,2^{3}\cdot 3\cdot 73$	$3$	$41.8568990729$	$41.8568990729127$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 4]$	$2$	0	$1$
2.2.1768.1	$x^{2} - 442$	$2$	[2,0]	$2^{3}\cdot 13\cdot 17$	$3$	$42.0475920833$	$42.04759208325728$		✓	✓	$C_2$ (as 2T1)	$[2, 4]$	$2$	$1$	$3.73823603026$
2.0.1816.1	$x^{2} + 454$	$2$	[0,1]	$-\,2^{3}\cdot 227$	$2$	$42.6145515053$	$42.61455150532503$	✓	✓	✓	$C_2$ (as 2T1)	$[14]$	$2$	0	$1$
2.2.1832.1	$x^{2} - 458$	$2$	[2,0]	$2^{3}\cdot 229$	$2$	$42.8018691181$	$42.80186911806539$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$5.36599785027$
2.0.1880.1	$x^{2} + 470$	$2$	[0,1]	$-\,2^{3}\cdot 5\cdot 47$	$3$	$43.3589667774$	$43.3589667773576$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 10]$	$2$	0	$1$

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