Number field search results

Results (1-50 of 441626 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
2.2.100001.1	$x^{2} - x - 25000$	$2$	[2,0]	$11\cdot 9091$	$2$	$316.229347152$	$316.2293471517152$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$252.836785257$
2.2.100005.1	$x^{2} - x - 25001$	$2$	[2,0]	$3\cdot 5\cdot 59\cdot 113$	$4$	$316.235671612$	$316.23567161216965$		✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$22.5873720012$
2.2.100012.1	$x^{2} - 25003$	$2$	[2,0]	$2^{2}\cdot 11\cdot 2273$	$3$	$316.246739114$	$316.2467391136231$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$95.7100745968$
2.2.100013.1	$x^{2} - x - 25003$	$2$	[2,0]	$103\cdot 971$	$2$	$316.248320154$	$316.2483201536413$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$107.371687794$
2.2.100021.1	$x^{2} - x - 25005$	$2$	[2,0]	$29\cdot 3449$	$2$	$316.260968189$	$316.26096818924714$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$94.8264605799$
2.2.100024.1	$x^{2} - 25006$	$2$	[2,0]	$2^{3}\cdot 12503$	$2$	$316.265711072$	$316.2657110721932$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$359.856550408$
2.2.100028.1	$x^{2} - 25007$	$2$	[2,0]	$2^{2}\cdot 17\cdot 1471$	$3$	$316.272034805$	$316.27203480548195$		✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	$1$	$24.46663049$
2.2.100029.1	$x^{2} - x - 25007$	$2$	[2,0]	$3\cdot 33343$	$2$	$316.273615719$	$316.27361571904794$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$79.0957444089$
2.2.100033.1	$x^{2} - x - 25008$	$2$	[2,0]	$167\cdot 599$	$2$	$316.279939294$	$316.2799392942904$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$277.189639362$
2.2.100037.1	$x^{2} - x - 25009$	$2$	[2,0]	$7\cdot 31\cdot 461$	$3$	$316.286262743$	$316.2862627431043$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$36.1263072924$
2.2.100040.1	$x^{2} - 25010$	$2$	[2,0]	$2^{3}\cdot 5\cdot 41\cdot 61$	$4$	$316.291005247$	$316.29100524675056$		✓	✓	$C_2$ (as 2T1)	$[2, 2, 2]$	$2$	$1$	$11.6915568882$
2.2.100041.1	$x^{2} - x - 25010$	$2$	[2,0]	$3\cdot 33347$	$2$	$316.292586065$	$316.2925860654973$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$473.902406902$
2.2.100045.1	$x^{2} - x - 25011$	$2$	[2,0]	$5\cdot 11\cdot 17\cdot 107$	$4$	$316.298909261$	$316.2989092614769$		✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$53.5354815501$
2.2.100049.1	$x^{2} - x - 25012$	$2$	[2,0]	$100049$	$1$	$316.305232331$	$316.3052323310508$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$311.201133132$
2.2.100056.1	$x^{2} - 25014$	$2$	[2,0]	$2^{3}\cdot 3\cdot 11\cdot 379$	$4$	$316.316297399$	$316.31629739866395$		✓	✓	$C_2$ (as 2T1)	$[2, 4]$	$2$	$1$	$21.2120049814$
2.2.100057.1	$x^{2} - x - 25014$	$2$	[2,0]	$100057$	$1$	$316.317878091$	$316.3178780910115$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$372.969796034$
2.2.100060.1	$x^{2} - 25015$	$2$	[2,0]	$2^{2}\cdot 5\cdot 5003$	$3$	$316.322620121$	$316.322620120661$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$169.318557727$
2.2.100061.1	$x^{2} - x - 25015$	$2$	[2,0]	$13\cdot 43\cdot 179$	$3$	$316.324200781$	$316.3242007814135$		✓	✓	$C_2$ (as 2T1)	$[8]$	$2$	$1$	$11.1458393695$
2.2.100065.1	$x^{2} - x - 25016$	$2$	[2,0]	$3\cdot 5\cdot 7\cdot 953$	$4$	$316.330523345$	$316.33052334544004$		✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$95.9395990107$
2.2.100069.1	$x^{2} - x - 25017$	$2$	[2,0]	$100069$	$1$	$316.336845783$	$316.33684578309874$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$56.4243004099$
2.2.100072.1	$x^{2} - 25018$	$2$	[2,0]	$2^{3}\cdot 7\cdot 1787$	$3$	$316.341587528$	$316.3415875284184$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$89.2508701652$
2.2.100073.1	$x^{2} - x - 25018$	$2$	[2,0]	$19\cdot 23\cdot 229$	$3$	$316.343168094$	$316.34316809439713$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$112.994585093$
2.2.100076.1	$x^{2} - 25019$	$2$	[2,0]	$2^{2}\cdot 127\cdot 197$	$3$	$316.347909745$	$316.34790974495155$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$87.6266049738$
2.2.100077.1	$x^{2} - x - 25019$	$2$	[2,0]	$3\cdot 33359$	$2$	$316.349490279$	$316.3494902793428$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$96.4065200655$
2.2.100081.1	$x^{2} - x - 25020$	$2$	[2,0]	$41\cdot 2441$	$2$	$316.355812338$	$316.3558123379433$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$346.789112425$
2.2.100085.1	$x^{2} - x - 25021$	$2$	[2,0]	$5\cdot 37\cdot 541$	$3$	$316.36213427$	$316.36213427020624$		✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$15.566998055$
2.2.100088.1	$x^{2} - 25022$	$2$	[2,0]	$2^{3}\cdot 12511$	$2$	$316.366875636$	$316.36687563649895$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$114.97541987$
2.2.100092.1	$x^{2} - 25023$	$2$	[2,0]	$2^{2}\cdot 3\cdot 19\cdot 439$	$4$	$316.373197348$	$316.37319734768937$		✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$32.6479341938$
2.2.100093.1	$x^{2} - x - 25023$	$2$	[2,0]	$7\cdot 79\cdot 181$	$3$	$316.374777756$	$316.3747777557497$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$62.5042523996$
2.2.100097.1	$x^{2} - x - 25024$	$2$	[2,0]	$199\cdot 503$	$2$	$316.381099309$	$316.38109930904534$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$267.660496805$
2.2.100101.1	$x^{2} - x - 25025$	$2$	[2,0]	$3\cdot 61\cdot 547$	$3$	$316.387420736$	$316.3874207360337$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$94.4984469938$
2.2.100104.1	$x^{2} - 25026$	$2$	[2,0]	$2^{3}\cdot 3\cdot 43\cdot 97$	$4$	$316.392161723$	$316.39216172339036$		✓	✓	$C_2$ (as 2T1)	$[2, 8]$	$2$	$1$	$18.6844689941$
2.2.100105.1	$x^{2} - x - 25026$	$2$	[2,0]	$5\cdot 20021$	$2$	$316.393742037$	$316.39374203672236$		✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	$1$	$106.933921758$
2.2.100108.1	$x^{2} - 25027$	$2$	[2,0]	$2^{2}\cdot 29\cdot 863$	$3$	$316.398482929$	$316.3984829293592$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$104.239334852$
2.2.100109.1	$x^{2} - x - 25027$	$2$	[2,0]	$100109$	$1$	$316.400063211$	$316.40006321111883$		✓	✓	$C_2$ (as 2T1)	$[19]$	$2$	$1$	$8.05959242878$
2.2.100113.1	$x^{2} - x - 25028$	$2$	[2,0]	$3\cdot 13\cdot 17\cdot 151$	$4$	$316.406384259$	$316.4063842592308$		✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$60.3502222037$
2.2.100117.1	$x^{2} - x - 25029$	$2$	[2,0]	$53\cdot 1889$	$2$	$316.412705181$	$316.4127051810657$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$71.3835271759$
2.2.100120.1	$x^{2} - 25030$	$2$	[2,0]	$2^{3}\cdot 5\cdot 2503$	$3$	$316.41744579$	$316.4174457895772$		✓	✓	$C_2$ (as 2T1)	$[10]$	$2$	$1$	$21.4475690784$
2.2.100121.1	$x^{2} - x - 25030$	$2$	[2,0]	$7\cdot 14303$	$2$	$316.419025977$	$316.4190259766312$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$295.369751223$
2.2.100124.1	$x^{2} - 25031$	$2$	[2,0]	$2^{2}\cdot 25031$	$2$	$316.42376649$	$316.42376649044553$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$35.4879869729$
2.2.100129.1	$x^{2} - x - 25032$	$2$	[2,0]	$100129$	$1$	$316.431667189$	$316.4316671889841$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$631.6155772$
2.2.100133.1	$x^{2} - x - 25033$	$2$	[2,0]	$11\cdot 9103$	$2$	$316.437987606$	$316.43798760578665$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$44.9062845255$
2.2.100136.1	$x^{2} - 25034$	$2$	[2,0]	$2^{3}\cdot 12517$	$2$	$316.442727836$	$316.44272783554374$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$89.5113106746$
2.2.100137.1	$x^{2} - x - 25034$	$2$	[2,0]	$3\cdot 29\cdot 1151$	$3$	$316.444307896$	$316.44430789635004$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$165.074423393$
2.2.100140.1	$x^{2} - 25035$	$2$	[2,0]	$2^{2}\cdot 3\cdot 5\cdot 1669$	$4$	$316.449048031$	$316.4490480314327$		✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$28.4560285887$
2.2.100141.1	$x^{2} - x - 25035$	$2$	[2,0]	$239\cdot 419$	$2$	$316.450628061$	$316.4506280606818$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$113.339305889$
2.2.100145.1	$x^{2} - x - 25036$	$2$	[2,0]	$5\cdot 20029$	$2$	$316.456948099$	$316.45694809878955$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$110.407749404$
2.2.100149.1	$x^{2} - x - 25037$	$2$	[2,0]	$3\cdot 7\cdot 19\cdot 251$	$4$	$316.463268011$	$316.46326801068085$		✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$39.3893408604$
2.2.100153.1	$x^{2} - x - 25038$	$2$	[2,0]	$100153$	$1$	$316.469587796$	$316.46958779636316$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$523.870767222$
2.2.100157.1	$x^{2} - x - 25039$	$2$	[2,0]	$47\cdot 2131$	$2$	$316.475907456$	$316.4759074558441$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$58.9228435518$

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