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Degree	Signature	Class number	Class group structure	CM field

Ramified prime count	Ramified	Unramified primes	Galois group	Galois

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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 root discriminant	Galois	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
2.2.10001.1	$x^{2} - x - 2500$	$2$	[2,0]	$73\cdot 137$	$2$	$100.004999875$	$100.00499987500625$	✓	✓	$C_2$ (as 2T1)	$[16]$	$2$	$1$	$5.29834236561$
2.2.10005.1	$x^{2} - x - 2501$	$2$	[2,0]	$3\cdot 5\cdot 23\cdot 29$	$4$	$100.024996876$	$100.024996875781$	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$8.9874467738$
2.2.10009.1	$x^{2} - x - 2502$	$2$	[2,0]	$10009$	$1$	$100.04498988$	$100.04498987955368$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$161.313097087$
2.2.10012.1	$x^{2} - 2503$	$2$	[2,0]	$2^{2}\cdot 2503$	$2$	$100.059982011$	$100.05998201079191$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$64.050753325$
2.2.10013.1	$x^{2} - x - 2503$	$2$	[2,0]	$17\cdot 19\cdot 31$	$3$	$100.064978889$	$100.0649788887201$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$11.6833178175$
2.2.10021.1	$x^{2} - x - 2505$	$2$	[2,0]	$11\cdot 911$	$2$	$100.104944933$	$100.1049449328054$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$70.5402836511$
2.2.10024.1	$x^{2} - 2506$	$2$	[2,0]	$2^{3}\cdot 7\cdot 179$	$3$	$100.119928086$	$100.11992808627062$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$51.3738105116$
2.2.10028.1	$x^{2} - 2507$	$2$	[2,0]	$2^{2}\cdot 23\cdot 109$	$3$	$100.139902137$	$100.13990213696037$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$16.3706181048$
2.2.10029.1	$x^{2} - x - 2507$	$2$	[2,0]	$3\cdot 3343$	$2$	$100.144895027$	$100.14489502715553$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$39.1778380927$
2.2.10033.1	$x^{2} - x - 2508$	$2$	[2,0]	$79\cdot 127$	$2$	$100.164864099$	$100.16486409914407$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$157.397954765$
2.2.10037.1	$x^{2} - x - 2509$	$2$	[2,0]	$10037$	$1$	$100.184829191$	$100.18482919085105$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$22.5621477136$
2.2.10040.1	$x^{2} - 2510$	$2$	[2,0]	$2^{3}\cdot 5\cdot 251$	$3$	$100.199800399$	$100.1998003990028$	✓	✓	$C_2$ (as 2T1)	$[6]$	$2$	$1$	$6.90975228563$
2.2.10041.1	$x^{2} - x - 2510$	$2$	[2,0]	$3\cdot 3347$	$2$	$100.204790305$	$100.20479030465559$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$117.974144002$
2.2.10049.1	$x^{2} - x - 2512$	$2$	[2,0]	$13\cdot 773$	$2$	$100.244700608$	$100.24470060806208$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$52.4732994248$
2.2.10056.1	$x^{2} - 2514$	$2$	[2,0]	$2^{3}\cdot 3\cdot 419$	$3$	$100.279609094$	$100.2796090937734$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$33.6258080541$
2.2.10057.1	$x^{2} - x - 2514$	$2$	[2,0]	$89\cdot 113$	$2$	$100.284595028$	$100.2845950283492$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$58.7346957603$
2.2.10060.1	$x^{2} - 2515$	$2$	[2,0]	$2^{2}\cdot 5\cdot 503$	$3$	$100.299551345$	$100.29955134495867$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$44.1374680493$
2.2.10061.1	$x^{2} - x - 2515$	$2$	[2,0]	$10061$	$1$	$100.304536288$	$100.30453628824571$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$31.7098576363$
2.2.10065.1	$x^{2} - x - 2516$	$2$	[2,0]	$3\cdot 5\cdot 11\cdot 61$	$4$	$100.324473584$	$100.32447358446493$	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$23.8379254937$
2.2.10069.1	$x^{2} - x - 2517$	$2$	[2,0]	$10069$	$1$	$100.344406919$	$100.34440691936945$	✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$18.2888602983$
2.2.10072.1	$x^{2} - 2518$	$2$	[2,0]	$2^{3}\cdot 1259$	$2$	$100.359354322$	$100.35935432235502$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$55.5102223204$
2.2.10073.1	$x^{2} - x - 2518$	$2$	[2,0]	$7\cdot 1439$	$2$	$100.364336295$	$100.36433629531956$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$49.6355623855$
2.2.10076.1	$x^{2} - 2519$	$2$	[2,0]	$2^{2}\cdot 11\cdot 229$	$3$	$100.379280731$	$100.37928073063684$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$26.4850732919$
2.2.10077.1	$x^{2} - x - 2519$	$2$	[2,0]	$3\cdot 3359$	$2$	$100.384261715$	$100.38426171467319$	✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$13.2493008277$
2.2.10081.1	$x^{2} - x - 2520$	$2$	[2,0]	$17\cdot 593$	$2$	$100.40418318$	$100.40418317978589$	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	$1$	$49.0219412783$
2.2.10085.1	$x^{2} - x - 2521$	$2$	[2,0]	$5\cdot 2017$	$2$	$100.424100693$	$100.42410069301094$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$15.2267460374$
2.2.10088.1	$x^{2} - 2522$	$2$	[2,0]	$2^{3}\cdot 13\cdot 97$	$3$	$100.439036236$	$100.43903623591775$	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$8.32312294656$
2.2.10093.1	$x^{2} - x - 2523$	$2$	[2,0]	$10093$	$1$	$100.463923873$	$100.46392387319938$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$28.8701552115$
2.2.10097.1	$x^{2} - x - 2524$	$2$	[2,0]	$23\cdot 439$	$2$	$100.483829545$	$100.48382954485761$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$56.0782986713$
2.2.10101.1	$x^{2} - x - 2525$	$2$	[2,0]	$3\cdot 7\cdot 13\cdot 37$	$4$	$100.503731274$	$100.50373127401788$	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$10.8943290153$
2.2.10104.1	$x^{2} - 2526$	$2$	[2,0]	$2^{3}\cdot 3\cdot 421$	$3$	$100.518654985$	$100.5186549850325$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$23.4879607152$
2.2.10105.1	$x^{2} - x - 2526$	$2$	[2,0]	$5\cdot 43\cdot 47$	$3$	$100.523629063$	$100.5236290630218$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$84.1934388108$
2.2.10109.1	$x^{2} - x - 2527$	$2$	[2,0]	$11\cdot 919$	$2$	$100.543522914$	$100.54352291420865$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$35.482710675$
2.2.10113.1	$x^{2} - x - 2528$	$2$	[2,0]	$3\cdot 3371$	$2$	$100.56341283$	$100.56341282991544$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$98.7077603333$
2.2.10117.1	$x^{2} - x - 2529$	$2$	[2,0]	$67\cdot 151$	$2$	$100.583298812$	$100.58329881247681$	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	$1$	$7.78904023005$
2.2.10120.1	$x^{2} - 2530$	$2$	[2,0]	$2^{3}\cdot 5\cdot 11\cdot 23$	$4$	$100.59821072$	$100.59821071967433$	✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$14.7392844212$
2.2.10121.1	$x^{2} - x - 2530$	$2$	[2,0]	$29\cdot 349$	$2$	$100.603180864$	$100.60318086422517$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$39.9886666158$
2.2.10124.1	$x^{2} - 2531$	$2$	[2,0]	$2^{2}\cdot 2531$	$2$	$100.618089825$	$100.61808982484213$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$68.7304889469$
2.2.10129.1	$x^{2} - x - 2532$	$2$	[2,0]	$7\cdot 1447$	$2$	$100.642933185$	$100.6429331846007$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$175.716850432$
2.2.10133.1	$x^{2} - x - 2533$	$2$	[2,0]	$10133$	$1$	$100.662803458$	$100.66280345788111$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$21.9549907963$
2.2.10136.1	$x^{2} - 2534$	$2$	[2,0]	$2^{3}\cdot 7\cdot 181$	$3$	$100.677703589$	$100.67770358922576$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$30.6892935488$
2.2.10137.1	$x^{2} - x - 2534$	$2$	[2,0]	$3\cdot 31\cdot 109$	$3$	$100.68266981$	$100.68266980965493$	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	$1$	$23.0114918352$
2.2.10141.1	$x^{2} - x - 2535$	$2$	[2,0]	$10141$	$1$	$100.702532242$	$100.70253224224304$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$57.6764800147$
2.2.10145.1	$x^{2} - x - 2536$	$2$	[2,0]	$5\cdot 2029$	$2$	$100.722390758$	$100.72239075796404$	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	$1$	$24.6460670258$
2.2.10149.1	$x^{2} - x - 2537$	$2$	[2,0]	$3\cdot 17\cdot 199$	$3$	$100.742245359$	$100.74224535913422$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$18.4676589342$
2.2.10153.1	$x^{2} - x - 2538$	$2$	[2,0]	$11\cdot 13\cdot 71$	$3$	$100.762096048$	$100.7620960480676$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$58.8523564229$
2.2.10156.1	$x^{2} - 2539$	$2$	[2,0]	$2^{2}\cdot 2539$	$2$	$100.776981499$	$100.77698149875297$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$93.1098756937$
2.2.10157.1	$x^{2} - x - 2539$	$2$	[2,0]	$7\cdot 1451$	$2$	$100.781942827$	$100.78194282707592$	✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$28.7314269208$
2.2.10165.1	$x^{2} - x - 2541$	$2$	[2,0]	$5\cdot 19\cdot 107$	$3$	$100.821624665$	$100.82162466455298$	✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$34.9661632995$
2.2.10168.1	$x^{2} - 2542$	$2$	[2,0]	$2^{3}\cdot 31\cdot 41$	$3$	$100.836501328$	$100.83650132764424$	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	$1$	$19.6781617024$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.