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 |
2.0.15.1 |
$x^{2} - x + 4$ |
$2$ |
[0,1] |
$-\,3\cdot 5$ |
$2$ |
$3.87298334621$ |
$3.872983346207417$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
0 |
$1$ |
2.0.35.1 |
$x^{2} - x + 9$ |
$2$ |
[0,1] |
$-\,5\cdot 7$ |
$2$ |
$5.9160797831$ |
$5.916079783099616$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
0 |
$1$ |
2.0.40.1 |
$x^{2} + 10$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 5$ |
$2$ |
$6.32455532034$ |
$6.324555320336759$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
0 |
$1$ |
2.2.40.1 |
$x^{2} - 10$ |
$2$ |
[2,0] |
$2^{3}\cdot 5$ |
$2$ |
$6.32455532034$ |
$6.324555320336759$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$1.81844645923$ |
2.2.60.1 |
$x^{2} - 15$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 5$ |
$3$ |
$7.74596669241$ |
$7.745966692414834$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$2.0634370689$ |
2.2.65.1 |
$x^{2} - x - 16$ |
$2$ |
[2,0] |
$5\cdot 13$ |
$2$ |
$8.0622577483$ |
$8.06225774829855$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$2.77647228072$ |
2.2.85.1 |
$x^{2} - x - 21$ |
$2$ |
[2,0] |
$5\cdot 17$ |
$2$ |
$9.21954445729$ |
$9.219544457292887$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$2.20934770862$ |
2.0.115.1 |
$x^{2} - x + 29$ |
$2$ |
[0,1] |
$-\,5\cdot 23$ |
$2$ |
$10.7238052948$ |
$10.723805294763608$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
0 |
$1$ |
2.2.140.1 |
$x^{2} - 35$ |
$2$ |
[2,0] |
$2^{2}\cdot 5\cdot 7$ |
$3$ |
$11.8321595662$ |
$11.832159566199232$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$2.47788873029$ |
2.2.165.1 |
$x^{2} - x - 41$ |
$2$ |
[2,0] |
$3\cdot 5\cdot 11$ |
$3$ |
$12.8452325787$ |
$12.84523257866513$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$2.55897897703$ |
2.2.185.1 |
$x^{2} - x - 46$ |
$2$ |
[2,0] |
$5\cdot 37$ |
$2$ |
$13.6014705087$ |
$13.601470508735444$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$4.9127089471$ |
2.0.215.1 |
$x^{2} - x + 54$ |
$2$ |
[0,1] |
$-\,5\cdot 43$ |
$2$ |
$14.6628782986$ |
$14.66287829861518$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[14]$ |
$2$ |
0 |
$1$ |
2.0.235.1 |
$x^{2} - x + 59$ |
$2$ |
[0,1] |
$-\,5\cdot 47$ |
$2$ |
$15.3297097168$ |
$15.329709716755891$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
0 |
$1$ |
2.0.260.1 |
$x^{2} + 65$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 5\cdot 13$ |
$3$ |
$16.1245154966$ |
$16.1245154965971$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.2.265.1 |
$x^{2} - x - 66$ |
$2$ |
[2,0] |
$5\cdot 53$ |
$2$ |
$16.2788205961$ |
$16.278820596099706$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$9.40459050642$ |
2.2.285.1 |
$x^{2} - x - 71$ |
$2$ |
[2,0] |
$3\cdot 5\cdot 19$ |
$3$ |
$16.8819430161$ |
$16.881943016134134$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$2.82973503752$ |
2.0.335.1 |
$x^{2} - x + 84$ |
$2$ |
[0,1] |
$-\,5\cdot 67$ |
$2$ |
$18.3030052177$ |
$18.303005217723125$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[18]$ |
$2$ |
0 |
$1$ |
2.0.340.1 |
$x^{2} + 85$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 5\cdot 17$ |
$3$ |
$18.4390889146$ |
$18.439088914585774$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
0 |
$1$ |
2.2.365.1 |
$x^{2} - x - 91$ |
$2$ |
[2,0] |
$5\cdot 73$ |
$2$ |
$19.1049731745$ |
$19.1049731745428$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$2.94719762257$ |
2.2.385.1 |
$x^{2} - x - 96$ |
$2$ |
[2,0] |
$5\cdot 7\cdot 11$ |
$3$ |
$19.6214168703$ |
$19.621416870348583$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$12.163488683$ |
2.0.415.1 |
$x^{2} - x + 104$ |
$2$ |
[0,1] |
$-\,5\cdot 83$ |
$2$ |
$20.3715487875$ |
$20.37154878746336$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[10]$ |
$2$ |
0 |
$1$ |
2.0.435.1 |
$x^{2} - x + 109$ |
$2$ |
[0,1] |
$-\,3\cdot 5\cdot 29$ |
$3$ |
$20.8566536146$ |
$20.85665361461421$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
0 |
$1$ |
2.0.440.1 |
$x^{2} + 110$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 5\cdot 11$ |
$3$ |
$20.9761769634$ |
$20.97617696340303$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$2$ |
0 |
$1$ |
2.2.440.1 |
$x^{2} - 110$ |
$2$ |
[2,0] |
$2^{3}\cdot 5\cdot 11$ |
$3$ |
$20.9761769634$ |
$20.97617696340303$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$3.7371022422$ |
2.2.460.1 |
$x^{2} - 115$ |
$2$ |
[2,0] |
$2^{2}\cdot 5\cdot 23$ |
$3$ |
$21.4476105895$ |
$21.447610589527216$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$7.71957379208$ |
2.2.465.1 |
$x^{2} - x - 116$ |
$2$ |
[2,0] |
$3\cdot 5\cdot 31$ |
$3$ |
$21.5638586528$ |
$21.563858652847824$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$10.3653960031$ |
2.2.485.1 |
$x^{2} - x - 121$ |
$2$ |
[2,0] |
$5\cdot 97$ |
$2$ |
$22.0227155455$ |
$22.02271554554524$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$3.7847057631$ |
2.0.515.1 |
$x^{2} - x + 129$ |
$2$ |
[0,1] |
$-\,5\cdot 103$ |
$2$ |
$22.6936114358$ |
$22.693611435820433$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$2$ |
0 |
$1$ |
2.0.535.1 |
$x^{2} - x + 134$ |
$2$ |
[0,1] |
$-\,5\cdot 107$ |
$2$ |
$23.1300670124$ |
$23.130067012440755$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[14]$ |
$2$ |
0 |
$1$ |
2.2.565.1 |
$x^{2} - x - 141$ |
$2$ |
[2,0] |
$5\cdot 113$ |
$2$ |
$23.769728648$ |
$23.769728648009426$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$5.73335175002$ |
2.0.615.1 |
$x^{2} - x + 154$ |
$2$ |
[0,1] |
$-\,3\cdot 5\cdot 41$ |
$3$ |
$24.7991935353$ |
$24.79919353527449$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 10]$ |
$2$ |
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) |
$[10]$ |
$2$ |
0 |
$1$ |
2.0.660.1 |
$x^{2} + 165$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 5\cdot 11$ |
$4$ |
$25.6904651573$ |
$25.69046515733026$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 2]$ |
$2$ |
0 |
$1$ |
2.2.665.1 |
$x^{2} - x - 166$ |
$2$ |
[2,0] |
$5\cdot 7\cdot 19$ |
$3$ |
$25.7875939165$ |
$25.787593916455254$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$10.2196841916$ |
2.2.685.1 |
$x^{2} - x - 171$ |
$2$ |
[2,0] |
$5\cdot 137$ |
$2$ |
$26.1725046566$ |
$26.1725046566048$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$6.63200351326$ |
2.0.715.1 |
$x^{2} - x + 179$ |
$2$ |
[0,1] |
$-\,5\cdot 11\cdot 13$ |
$3$ |
$26.7394839142$ |
$26.739483914241877$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
0 |
$1$ |
2.0.740.1 |
$x^{2} + 185$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 5\cdot 37$ |
$3$ |
$27.2029410175$ |
$27.202941017470888$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$2$ |
0 |
$1$ |
2.0.760.1 |
$x^{2} + 190$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 5\cdot 19$ |
$3$ |
$27.5680975042$ |
$27.568097504180443$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
0 |
$1$ |
2.2.760.1 |
$x^{2} - 190$ |
$2$ |
[2,0] |
$2^{3}\cdot 5\cdot 19$ |
$3$ |
$27.5680975042$ |
$27.568097504180443$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$11.5525499427$ |
2.2.785.1 |
$x^{2} - x - 196$ |
$2$ |
[2,0] |
$5\cdot 157$ |
$2$ |
$28.0178514522$ |
$28.0178514522438$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$2$ |
$1$ |
$4.02567041587$ |
2.0.815.1 |
$x^{2} - x + 204$ |
$2$ |
[0,1] |
$-\,5\cdot 163$ |
$2$ |
$28.5482048472$ |
$28.548204847240395$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[30]$ |
$2$ |
0 |
$1$ |
2.0.835.1 |
$x^{2} - x + 209$ |
$2$ |
[0,1] |
$-\,5\cdot 167$ |
$2$ |
$28.8963665536$ |
$28.89636655359978$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$2$ |
0 |
$1$ |
2.0.840.1 |
$x^{2} + 210$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 3\cdot 5\cdot 7$ |
$4$ |
$28.9827534924$ |
$28.982753492378876$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2, 2]$ |
$2$ |
0 |
$1$ |
2.2.840.1 |
$x^{2} - 210$ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 5\cdot 7$ |
$4$ |
$28.9827534924$ |
$28.982753492378876$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$4.06014561275$ |
2.2.860.1 |
$x^{2} - 215$ |
$2$ |
[2,0] |
$2^{2}\cdot 5\cdot 43$ |
$3$ |
$29.3257565972$ |
$29.32575659723036$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$4.47720765723$ |
2.2.865.1 |
$x^{2} - x - 216$ |
$2$ |
[2,0] |
$5\cdot 173$ |
$2$ |
$29.4108823397$ |
$29.410882339705484$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$20.3618514166$ |
2.2.885.1 |
$x^{2} - x - 221$ |
$2$ |
[2,0] |
$3\cdot 5\cdot 59$ |
$3$ |
$29.7489495613$ |
$29.748949561287034$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$5.47225301908$ |
2.0.915.1 |
$x^{2} - x + 229$ |
$2$ |
[0,1] |
$-\,3\cdot 5\cdot 61$ |
$3$ |
$30.2489669245$ |
$30.24896692450835$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.0.935.1 |
$x^{2} - x + 234$ |
$2$ |
[0,1] |
$-\,5\cdot 11\cdot 17$ |
$3$ |
$30.5777697028$ |
$30.577769702841312$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 14]$ |
$2$ |
0 |
$1$ |
2.2.940.1 |
$x^{2} - 235$ |
$2$ |
[2,0] |
$2^{2}\cdot 5\cdot 47$ |
$3$ |
$30.6594194335$ |
$30.659419433511783$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$2$ |
$1$ |
$4.52167040866$ |