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Degree	Signature	Class number	Class group structure	CM field

Ramified prime count	Ramified	Unramified primes	Galois group	Is Galois

Discriminant	Root discriminant	Regulator	Intermediate field	$p$-adic completions

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Results (1-50 of 40896 matches)

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Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	Galois	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
2.2.10001.1	x² - x - 2500	$2$	[2,0]	$73\cdot 137$	$2$	$100.004999875$	✓	✓	$C_2$ (as 2T1)	$[16]$	$2$	$1$	$5.29834236561$
2.2.10005.1	x² - x - 2501	$2$	[2,0]	$3\cdot 5\cdot 23\cdot 29$	$4$	$100.024996876$	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$8.9874467738$
2.2.10009.1	x² - x - 2502	$2$	[2,0]	$10009$	$1$	$100.04498988$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$161.313097087$
2.2.10012.1	x² - 2503	$2$	[2,0]	$2^{2}\cdot 2503$	$2$	$100.059982011$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$64.050753325$
2.2.10013.1	x² - x - 2503	$2$	[2,0]	$17\cdot 19\cdot 31$	$3$	$100.064978889$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$11.6833178175$
2.2.10021.1	x² - x - 2505	$2$	[2,0]	$11\cdot 911$	$2$	$100.104944933$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$70.5402836511$
2.2.10024.1	x² - 2506	$2$	[2,0]	$2^{3}\cdot 7\cdot 179$	$3$	$100.119928086$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$51.3738105116$
2.2.10028.1	x² - 2507	$2$	[2,0]	$2^{2}\cdot 23\cdot 109$	$3$	$100.139902137$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$16.3706181048$
2.2.10029.1	x² - x - 2507	$2$	[2,0]	$3\cdot 3343$	$2$	$100.144895027$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$39.1778380927$
2.2.10033.1	x² - x - 2508	$2$	[2,0]	$79\cdot 127$	$2$	$100.164864099$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$157.397954765$
2.2.10037.1	x² - x - 2509	$2$	[2,0]	$10037$	$1$	$100.184829191$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$22.5621477136$
2.2.10040.1	x² - 2510	$2$	[2,0]	$2^{3}\cdot 5\cdot 251$	$3$	$100.199800399$	✓	✓	$C_2$ (as 2T1)	$[6]$	$2$	$1$	$6.90975228563$
2.2.10041.1	x² - x - 2510	$2$	[2,0]	$3\cdot 3347$	$2$	$100.204790305$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$117.974144002$
2.2.10049.1	x² - x - 2512	$2$	[2,0]	$13\cdot 773$	$2$	$100.244700608$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$52.4732994248$
2.2.10056.1	x² - 2514	$2$	[2,0]	$2^{3}\cdot 3\cdot 419$	$3$	$100.279609094$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$33.6258080541$
2.2.10057.1	x² - x - 2514	$2$	[2,0]	$89\cdot 113$	$2$	$100.284595028$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$58.7346957603$
2.2.10060.1	x² - 2515	$2$	[2,0]	$2^{2}\cdot 5\cdot 503$	$3$	$100.299551345$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$44.1374680493$
2.2.10061.1	x² - x - 2515	$2$	[2,0]	$10061$	$1$	$100.304536288$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$31.7098576363$
2.2.10065.1	x² - x - 2516	$2$	[2,0]	$3\cdot 5\cdot 11\cdot 61$	$4$	$100.324473584$	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$23.8379254937$
2.2.10069.1	x² - x - 2517	$2$	[2,0]	$10069$	$1$	$100.344406919$	✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$18.2888602983$
2.2.10072.1	x² - 2518	$2$	[2,0]	$2^{3}\cdot 1259$	$2$	$100.359354322$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$55.5102223204$
2.2.10073.1	x² - x - 2518	$2$	[2,0]	$7\cdot 1439$	$2$	$100.364336295$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$49.6355623855$
2.2.10076.1	x² - 2519	$2$	[2,0]	$2^{2}\cdot 11\cdot 229$	$3$	$100.379280731$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$26.4850732919$
2.2.10077.1	x² - x - 2519	$2$	[2,0]	$3\cdot 3359$	$2$	$100.384261715$	✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$13.2493008277$
2.2.10081.1	x² - x - 2520	$2$	[2,0]	$17\cdot 593$	$2$	$100.40418318$	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	$1$	$49.0219412783$
2.2.10085.1	x² - x - 2521	$2$	[2,0]	$5\cdot 2017$	$2$	$100.424100693$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$15.2267460374$
2.2.10088.1	x² - 2522	$2$	[2,0]	$2^{3}\cdot 13\cdot 97$	$3$	$100.439036236$	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$8.32312294656$
2.2.10093.1	x² - x - 2523	$2$	[2,0]	$10093$	$1$	$100.463923873$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$28.8701552115$
2.2.10097.1	x² - x - 2524	$2$	[2,0]	$23\cdot 439$	$2$	$100.483829545$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$56.0782986713$
2.2.10101.1	x² - x - 2525	$2$	[2,0]	$3\cdot 7\cdot 13\cdot 37$	$4$	$100.503731274$	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$10.8943290153$
2.2.10104.1	x² - 2526	$2$	[2,0]	$2^{3}\cdot 3\cdot 421$	$3$	$100.518654985$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$23.4879607152$
2.2.10105.1	x² - x - 2526	$2$	[2,0]	$5\cdot 43\cdot 47$	$3$	$100.523629063$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$84.1934388108$
2.2.10109.1	x² - x - 2527	$2$	[2,0]	$11\cdot 919$	$2$	$100.543522914$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$35.482710675$
2.2.10113.1	x² - x - 2528	$2$	[2,0]	$3\cdot 3371$	$2$	$100.56341283$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$98.7077603333$
2.2.10117.1	x² - x - 2529	$2$	[2,0]	$67\cdot 151$	$2$	$100.583298812$	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$1$	$7.78904023005$
2.2.10120.1	x² - 2530	$2$	[2,0]	$2^{3}\cdot 5\cdot 11\cdot 23$	$4$	$100.59821072$	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$14.7392844212$
2.2.10121.1	x² - x - 2530	$2$	[2,0]	$29\cdot 349$	$2$	$100.603180864$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$39.9886666158$
2.2.10124.1	x² - 2531	$2$	[2,0]	$2^{2}\cdot 2531$	$2$	$100.618089825$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$68.7304889469$
2.2.10129.1	x² - x - 2532	$2$	[2,0]	$7\cdot 1447$	$2$	$100.642933185$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$175.716850432$
2.2.10133.1	x² - x - 2533	$2$	[2,0]	$10133$	$1$	$100.662803458$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$21.9549907963$
2.2.10136.1	x² - 2534	$2$	[2,0]	$2^{3}\cdot 7\cdot 181$	$3$	$100.677703589$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$30.6892935488$
2.2.10137.1	x² - x - 2534	$2$	[2,0]	$3\cdot 31\cdot 109$	$3$	$100.68266981$	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	$1$	$23.0114918352$
2.2.10141.1	x² - x - 2535	$2$	[2,0]	$10141$	$1$	$100.702532242$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$57.6764800147$
2.2.10145.1	x² - x - 2536	$2$	[2,0]	$5\cdot 2029$	$2$	$100.722390758$	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	$1$	$24.6460670258$
2.2.10149.1	x² - x - 2537	$2$	[2,0]	$3\cdot 17\cdot 199$	$3$	$100.742245359$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$18.4676589342$
2.2.10153.1	x² - x - 2538	$2$	[2,0]	$11\cdot 13\cdot 71$	$3$	$100.762096048$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$58.8523564229$
2.2.10156.1	x² - 2539	$2$	[2,0]	$2^{2}\cdot 2539$	$2$	$100.776981499$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$93.1098756937$
2.2.10157.1	x² - x - 2539	$2$	[2,0]	$7\cdot 1451$	$2$	$100.781942827$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$28.7314269208$
2.2.10165.1	x² - x - 2541	$2$	[2,0]	$5\cdot 19\cdot 107$	$3$	$100.821624665$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$34.9661632995$
2.2.10168.1	x² - 2542	$2$	[2,0]	$2^{3}\cdot 31\cdot 41$	$3$	$100.836501328$	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	$1$	$19.6781617024$

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