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 |
2.2.181.1 |
$x^{2} - x - 45$ |
$2$ |
[2,0] |
$181$ |
$1$ |
$13.4536240471$ |
$13.45362404707371$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$7.17395890695$ |
2.0.543.1 |
$x^{2} - x + 136$ |
$2$ |
[0,1] |
$-\,3\cdot 181$ |
$2$ |
$23.3023603955$ |
$23.302360395462088$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$2$ |
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) |
$[10]$ |
$2$ |
0 |
$1$ |
2.2.905.1 |
$x^{2} - x - 226$ |
$2$ |
[2,0] |
$5\cdot 181$ |
$2$ |
$30.083217913$ |
$30.083217912982647$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$6.58202322055$ |
2.0.1991.1 |
$x^{2} - x + 498$ |
$2$ |
[0,1] |
$-\,11\cdot 181$ |
$2$ |
$44.6206230346$ |
$44.62062303464621$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[56]$ |
$2$ |
0 |
$1$ |
2.2.2172.1 |
$x^{2} - 543$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 181$ |
$3$ |
$46.6047207909$ |
$46.604720790924176$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$14.1071901298$ |
2.2.2353.1 |
$x^{2} - x - 588$ |
$2$ |
[2,0] |
$13\cdot 181$ |
$2$ |
$48.5077313425$ |
$48.507731342539614$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$31.6714733799$ |
2.0.2715.1 |
$x^{2} - x + 679$ |
$2$ |
[0,1] |
$-\,3\cdot 5\cdot 181$ |
$3$ |
$52.1056618805$ |
$52.10566188045211$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.0.3620.1 |
$x^{2} + 905$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 5\cdot 181$ |
$3$ |
$60.166435826$ |
$60.166435825965294$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 12]$ |
$2$ |
0 |
$1$ |
2.2.5249.1 |
$x^{2} - x - 1312$ |
$2$ |
[2,0] |
$29\cdot 181$ |
$2$ |
$72.4499827467$ |
$72.44998274671983$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
$1$ |
$7.97177600381$ |
2.2.5973.1 |
$x^{2} - x - 1493$ |
$2$ |
[2,0] |
$3\cdot 11\cdot 181$ |
$3$ |
$77.2851861614$ |
$77.28518616138541$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$6.29341586214$ |
2.2.6697.1 |
$x^{2} - x - 1674$ |
$2$ |
[2,0] |
$37\cdot 181$ |
$2$ |
$81.8352002503$ |
$81.83520025025906$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$50.0163335173$ |
2.0.7059.1 |
$x^{2} - x + 1765$ |
$2$ |
[0,1] |
$-\,3\cdot 13\cdot 181$ |
$3$ |
$84.0178552452$ |
$84.01785524517987$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4, 8]$ |
$2$ |
0 |
$1$ |
2.0.7783.1 |
$x^{2} - x + 1946$ |
$2$ |
[0,1] |
$-\,43\cdot 181$ |
$2$ |
$88.2213126178$ |
$88.22131261775694$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[44]$ |
$2$ |
0 |
$1$ |
2.2.7964.1 |
$x^{2} - 1991$ |
$2$ |
[2,0] |
$2^{2}\cdot 11\cdot 181$ |
$3$ |
$89.2412460693$ |
$89.24124606929242$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$19.0692379128$ |
2.0.9412.1 |
$x^{2} + 2353$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 13\cdot 181$ |
$3$ |
$97.0154626851$ |
$97.01546268507923$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$2$ |
0 |
$1$ |
2.0.9955.1 |
$x^{2} - x + 2489$ |
$2$ |
[0,1] |
$-\,5\cdot 11\cdot 181$ |
$3$ |
$99.7747463039$ |
$99.77474630386187$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4, 4]$ |
$2$ |
0 |
$1$ |
2.0.10136.1 |
$x^{2} + 2534$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 7\cdot 181$ |
$3$ |
$100.677703589$ |
$100.67770358922576$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 30]$ |
$2$ |
0 |
$1$ |
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) |
$[2]$ |
$2$ |
$1$ |
$30.6892935488$ |
2.0.10679.1 |
$x^{2} - x + 2670$ |
$2$ |
[0,1] |
$-\,59\cdot 181$ |
$2$ |
$103.339247143$ |
$103.33924714260309$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[92]$ |
$2$ |
0 |
$1$ |
2.2.10860.1 |
$x^{2} - 2715$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 5\cdot 181$ |
$4$ |
$104.211323761$ |
$104.21132376090422$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$12.4736616985$ |
2.2.11765.1 |
$x^{2} - x - 2941$ |
$2$ |
[2,0] |
$5\cdot 13\cdot 181$ |
$3$ |
$108.466584716$ |
$108.4665847162157$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$7.39449272945$ |
2.0.12127.1 |
$x^{2} - x + 3032$ |
$2$ |
[0,1] |
$-\,67\cdot 181$ |
$2$ |
$110.122658885$ |
$110.12265888544464$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[40]$ |
$2$ |
0 |
$1$ |
2.2.13213.1 |
$x^{2} - x - 3303$ |
$2$ |
[2,0] |
$73\cdot 181$ |
$2$ |
$114.947814246$ |
$114.94781424629178$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$23.6726563695$ |
2.0.14299.1 |
$x^{2} - x + 3575$ |
$2$ |
[0,1] |
$-\,79\cdot 181$ |
$2$ |
$119.578426148$ |
$119.57842614786331$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[32]$ |
$2$ |
0 |
$1$ |
2.0.15747.1 |
$x^{2} - x + 3937$ |
$2$ |
[0,1] |
$-\,3\cdot 29\cdot 181$ |
$3$ |
$125.487051125$ |
$125.4870511248073$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 12]$ |
$2$ |
0 |
$1$ |
2.2.18281.1 |
$x^{2} - x - 4570$ |
$2$ |
[2,0] |
$101\cdot 181$ |
$2$ |
$135.207248326$ |
$135.20724832641184$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$65.2306812595$ |
2.0.20091.1 |
$x^{2} - x + 5023$ |
$2$ |
[0,1] |
$-\,3\cdot 37\cdot 181$ |
$3$ |
$141.742724681$ |
$141.742724681022$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4, 8]$ |
$2$ |
0 |
$1$ |
2.0.20996.1 |
$x^{2} + 5249$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 29\cdot 181$ |
$3$ |
$144.899965493$ |
$144.89996549343965$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 60]$ |
$2$ |
0 |
$1$ |
2.0.21539.1 |
$x^{2} - x + 5385$ |
$2$ |
[0,1] |
$-\,7\cdot 17\cdot 181$ |
$3$ |
$146.761711628$ |
$146.76171162806736$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 26]$ |
$2$ |
0 |
$1$ |
2.2.23349.1 |
$x^{2} - x - 5837$ |
$2$ |
[2,0] |
$3\cdot 43\cdot 181$ |
$3$ |
$152.803795764$ |
$152.8037957643723$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$21.4762105317$ |
2.0.23892.1 |
$x^{2} + 5973$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 11\cdot 181$ |
$4$ |
$154.570372323$ |
$154.57037232277082$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 8]$ |
$2$ |
0 |
$1$ |
2.2.24073.1 |
$x^{2} - x - 6018$ |
$2$ |
[2,0] |
$7\cdot 19\cdot 181$ |
$3$ |
$155.154761448$ |
$155.1547614480458$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[22]$ |
$2$ |
$1$ |
$10.1683870606$ |
2.0.24616.1 |
$x^{2} + 6154$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 17\cdot 181$ |
$3$ |
$156.89486926$ |
$156.8948692596415$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 18]$ |
$2$ |
0 |
$1$ |
2.2.24616.1 |
$x^{2} - 6154$ |
$2$ |
[2,0] |
$2^{3}\cdot 17\cdot 181$ |
$3$ |
$156.89486926$ |
$156.8948692596415$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$46.9771823372$ |
2.2.24797.1 |
$x^{2} - x - 6199$ |
$2$ |
[2,0] |
$137\cdot 181$ |
$2$ |
$157.470632183$ |
$157.47063218263906$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$7.89245218306$ |
2.0.25159.1 |
$x^{2} - x + 6290$ |
$2$ |
[0,1] |
$-\,139\cdot 181$ |
$2$ |
$158.615888233$ |
$158.61588823317794$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[112]$ |
$2$ |
0 |
$1$ |
2.0.25883.1 |
$x^{2} - x + 6471$ |
$2$ |
[0,1] |
$-\,11\cdot 13\cdot 181$ |
$3$ |
$160.881944295$ |
$160.8819442945665$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 16]$ |
$2$ |
0 |
$1$ |
2.2.26245.1 |
$x^{2} - x - 6561$ |
$2$ |
[2,0] |
$5\cdot 29\cdot 181$ |
$3$ |
$162.00308639$ |
$162.00308639035245$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4, 4]$ |
$2$ |
$1$ |
$5.78075304164$ |
2.0.26788.1 |
$x^{2} + 6697$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 37\cdot 181$ |
$3$ |
$163.670400501$ |
$163.67040050051813$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 16]$ |
$2$ |
0 |
$1$ |
2.0.27512.1 |
$x^{2} + 6878$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 19\cdot 181$ |
$3$ |
$165.867416933$ |
$165.86741693292265$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 30]$ |
$2$ |
0 |
$1$ |
2.2.27512.1 |
$x^{2} - 6878$ |
$2$ |
[2,0] |
$2^{3}\cdot 19\cdot 181$ |
$3$ |
$165.867416933$ |
$165.86741693292265$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$38.5317723606$ |
2.2.28236.1 |
$x^{2} - 7059$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 13\cdot 181$ |
$4$ |
$168.03571049$ |
$168.03571049035975$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
$1$ |
$9.14952822129$ |
2.2.29141.1 |
$x^{2} - x - 7285$ |
$2$ |
[2,0] |
$7\cdot 23\cdot 181$ |
$3$ |
$170.707351921$ |
$170.70735192135106$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$19.6289769947$ |
2.2.29865.1 |
$x^{2} - x - 7466$ |
$2$ |
[2,0] |
$3\cdot 5\cdot 11\cdot 181$ |
$4$ |
$172.814929911$ |
$172.81492991058383$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
$1$ |
$21.9149761143$ |
2.0.30227.1 |
$x^{2} - x + 7557$ |
$2$ |
[0,1] |
$-\,167\cdot 181$ |
$2$ |
$173.859138385$ |
$173.8591383850731$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[40]$ |
$2$ |
0 |
$1$ |
2.0.30408.1 |
$x^{2} + 7602$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 3\cdot 7\cdot 181$ |
$4$ |
$174.378897806$ |
$174.37889780589853$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 10]$ |
$2$ |
0 |
$1$ |
2.2.30408.1 |
$x^{2} - 7602$ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 7\cdot 181$ |
$4$ |
$174.378897806$ |
$174.37889780589853$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$19.7495761194$ |
2.2.31132.1 |
$x^{2} - 7783$ |
$2$ |
[2,0] |
$2^{2}\cdot 43\cdot 181$ |
$3$ |
$176.442625236$ |
$176.44262523551387$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$42.0730707041$ |
2.2.32037.1 |
$x^{2} - x - 8009$ |
$2$ |
[2,0] |
$3\cdot 59\cdot 181$ |
$3$ |
$178.988826467$ |
$178.98882646690546$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
$1$ |
$5.18735459437$ |