Number field search results

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

Results (1-50 of 86554 matches)

  Download displayed columns for results to

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
2.0.119.1	$x^{2} - x + 30$	$2$	[0,1]	$-\,7\cdot 17$	$2$	$10.9087121146$	$10.908712114635714$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.143.1	$x^{2} - x + 36$	$2$	[0,1]	$-\,11\cdot 13$	$2$	$11.9582607431$	$11.958260743101398$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.159.1	$x^{2} - x + 40$	$2$	[0,1]	$-\,3\cdot 53$	$2$	$12.6095202129$	$12.609520212918492$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.296.1	$x^{2} + 74$	$2$	[0,1]	$-\,2^{3}\cdot 37$	$2$	$17.2046505341$	$17.204650534085253$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.303.1	$x^{2} - x + 76$	$2$	[0,1]	$-\,3\cdot 101$	$2$	$17.4068951855$	$17.406895185529212$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.319.1	$x^{2} - x + 80$	$2$	[0,1]	$-\,11\cdot 29$	$2$	$17.8605710995$	$17.86057109949175$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.344.1	$x^{2} + 86$	$2$	[0,1]	$-\,2^{3}\cdot 43$	$2$	$18.547236991$	$18.547236990991408$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.415.1	$x^{2} - x + 104$	$2$	[0,1]	$-\,5\cdot 83$	$2$	$20.3715487875$	$20.37154878746336$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.488.1	$x^{2} + 122$	$2$	[0,1]	$-\,2^{3}\cdot 61$	$2$	$22.0907220344$	$22.090722034374522$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.611.1	$x^{2} - x + 153$	$2$	[0,1]	$-\,13\cdot 47$	$2$	$24.7184141886$	$24.71841418861655$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.635.1	$x^{2} - x + 159$	$2$	[0,1]	$-\,5\cdot 127$	$2$	$25.1992063367$	$25.199206336708304$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.664.1	$x^{2} + 166$	$2$	[0,1]	$-\,2^{3}\cdot 83$	$2$	$25.7681974535$	$25.768197453450252$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.699.1	$x^{2} - x + 175$	$2$	[0,1]	$-\,3\cdot 233$	$2$	$26.4386081328$	$26.43860813280457$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.724.1	$x^{2} + 181$	$2$	[0,1]	$-\,2^{2}\cdot 181$	$2$	$26.9072480941$	$26.90724809414742$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.779.1	$x^{2} - x + 195$	$2$	[0,1]	$-\,19\cdot 41$	$2$	$27.9105714739$	$27.910571473905726$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.788.1	$x^{2} + 197$	$2$	[0,1]	$-\,2^{2}\cdot 197$	$2$	$28.0713376952$	$28.071337695236398$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.803.1	$x^{2} - x + 201$	$2$	[0,1]	$-\,11\cdot 73$	$2$	$28.3372546306$	$28.337254630609507$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.851.1	$x^{2} - x + 213$	$2$	[0,1]	$-\,23\cdot 37$	$2$	$29.1719042916$	$29.171904291629644$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.872.1	$x^{2} + 218$	$2$	[0,1]	$-\,2^{3}\cdot 109$	$2$	$29.5296461205$	$29.5296461204668$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.916.1	$x^{2} + 229$	$2$	[0,1]	$-\,2^{2}\cdot 229$	$2$	$30.2654919008$	$30.265491900843113$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.923.1	$x^{2} - x + 231$	$2$	[0,1]	$-\,13\cdot 71$	$2$	$30.3809150619$	$30.380915061926625$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.1115.1	$x^{2} - x + 279$	$2$	[0,1]	$-\,5\cdot 223$	$2$	$33.3916157141$	$33.391615714128$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.1268.1	$x^{2} + 317$	$2$	[0,1]	$-\,2^{2}\cdot 317$	$2$	$35.6089876295$	$35.608987629529715$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.1384.1	$x^{2} + 346$	$2$	[0,1]	$-\,2^{3}\cdot 173$	$2$	$37.2021504755$	$37.20215047547655$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.1492.1	$x^{2} + 373$	$2$	[0,1]	$-\,2^{2}\cdot 373$	$2$	$38.6264158317$	$38.62641583165593$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.1576.1	$x^{2} + 394$	$2$	[0,1]	$-\,2^{3}\cdot 197$	$2$	$39.6988664826$	$39.698866482558415$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.1643.1	$x^{2} - x + 411$	$2$	[0,1]	$-\,31\cdot 53$	$2$	$40.533936399$	$40.53393639902249$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.1684.1	$x^{2} + 421$	$2$	[0,1]	$-\,2^{2}\cdot 421$	$2$	$41.0365690574$	$41.036569057366385$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.1688.1	$x^{2} + 422$	$2$	[0,1]	$-\,2^{3}\cdot 211$	$2$	$41.0852771683$	$41.08527716834828$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.1707.1	$x^{2} - x + 427$	$2$	[0,1]	$-\,3\cdot 569$	$2$	$41.3158565202$	$41.31585652022719$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.1779.1	$x^{2} - x + 445$	$2$	[0,1]	$-\,3\cdot 593$	$2$	$42.1781934179$	$42.17819341792628$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.1819.1	$x^{2} - x + 455$	$2$	[0,1]	$-\,17\cdot 107$	$2$	$42.6497362243$	$42.649736224272246$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.1835.1	$x^{2} - x + 459$	$2$	[0,1]	$-\,5\cdot 367$	$2$	$42.8368999812$	$42.83689998120779$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.1891.1	$x^{2} - x + 473$	$2$	[0,1]	$-\,31\cdot 61$	$2$	$43.4856298103$	$43.485629810317796$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.1923.1	$x^{2} - x + 481$	$2$	[0,1]	$-\,3\cdot 641$	$2$	$43.8520238986$	$43.8520238985614$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.2152.1	$x^{2} + 538$	$2$	[0,1]	$-\,2^{3}\cdot 269$	$2$	$46.389654019$	$46.389654018972806$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.2164.1	$x^{2} + 541$	$2$	[0,1]	$-\,2^{2}\cdot 541$	$2$	$46.5188133985$	$46.51881339845203$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.2363.1	$x^{2} - x + 591$	$2$	[0,1]	$-\,17\cdot 139$	$2$	$48.6106984109$	$48.61069841094653$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.2452.1	$x^{2} + 613$	$2$	[0,1]	$-\,2^{2}\cdot 613$	$2$	$49.5176736126$	$49.51767361255979$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.2643.1	$x^{2} - x + 661$	$2$	[0,1]	$-\,3\cdot 881$	$2$	$51.4101157361$	$51.41011573610781$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.2776.1	$x^{2} + 694$	$2$	[0,1]	$-\,2^{3}\cdot 347$	$2$	$52.6877594893$	$52.687759489277965$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.2836.1	$x^{2} + 709$	$2$	[0,1]	$-\,2^{2}\cdot 709$	$2$	$53.2541078228$	$53.25410782277739$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.2899.1	$x^{2} - x + 725$	$2$	[0,1]	$-\,13\cdot 223$	$2$	$53.8423625039$	$53.842362503887216$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.3028.1	$x^{2} + 757$	$2$	[0,1]	$-\,2^{2}\cdot 757$	$2$	$55.0272659688$	$55.02726596879042$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.3091.1	$x^{2} - x + 773$	$2$	[0,1]	$-\,11\cdot 281$	$2$	$55.5967624957$	$55.59676249567055$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.2.3129.1	$x^{2} - x - 782$	$2$	[2,0]	$3\cdot 7\cdot 149$	$3$	$55.9374650838$	$55.937465083787984$		✓	✓	$C_2$ (as 2T1)	$[10]$	$[2, 10]$	$2$	$1$	$7.48997058673$
2.0.3139.1	$x^{2} - x + 785$	$2$	[0,1]	$-\,43\cdot 73$	$2$	$56.0267793113$	$56.02677931132576$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.3147.1	$x^{2} - x + 787$	$2$	[0,1]	$-\,3\cdot 1049$	$2$	$56.098128311$	$56.098128311023$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.3291.1	$x^{2} - x + 823$	$2$	[0,1]	$-\,3\cdot 1097$	$2$	$57.3672380371$	$57.367238037053866$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$
2.0.3412.1	$x^{2} + 853$	$2$	[0,1]	$-\,2^{2}\cdot 853$	$2$	$58.412327466$	$58.412327466040935$	✓	✓	✓	$C_2$ (as 2T1)	$[10]$	$[10]$	$2$	0	$1$

  Download displayed columns for results to