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 |
2.2.12.1 |
$x^{2} - 3$ |
$2$ |
[2,0] |
$2^{2}\cdot 3$ |
$2$ |
$3.46410161514$ |
$3.4641016151377544$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$1.31695789692$ |
2.0.20.1 |
$x^{2} + 5$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 5$ |
$2$ |
$4.472135955$ |
$4.47213595499958$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
0 |
$1$ |
2.2.44.1 |
$x^{2} - 11$ |
$2$ |
[2,0] |
$2^{2}\cdot 11$ |
$2$ |
$6.63324958071$ |
$6.6332495807108$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$2.99322284613$ |
2.0.52.1 |
$x^{2} + 13$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 13$ |
$2$ |
$7.21110255093$ |
$7.211102550927978$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
0 |
$1$ |
2.2.76.1 |
$x^{2} - 19$ |
$2$ |
[2,0] |
$2^{2}\cdot 19$ |
$2$ |
$8.71779788708$ |
$8.717797887081348$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$5.82893696698$ |
2.0.84.1 |
$x^{2} + 21$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 7$ |
$3$ |
$9.16515138991$ |
$9.16515138991168$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
0 |
$1$ |
2.0.116.1 |
$x^{2} + 29$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 29$ |
$2$ |
$10.7703296143$ |
$10.770329614269007$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$2$ |
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) |
$[2]$ |
$2$ |
$1$ |
$2.47788873029$ |
2.0.148.1 |
$x^{2} + 37$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 37$ |
$2$ |
$12.1655250606$ |
$12.165525060596439$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
0 |
$1$ |
2.2.172.1 |
$x^{2} - 43$ |
$2$ |
[2,0] |
$2^{2}\cdot 43$ |
$2$ |
$13.1148770486$ |
$13.114877048604$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$8.84850928027$ |
2.2.204.1 |
$x^{2} - 51$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 17$ |
$3$ |
$14.2828568571$ |
$14.2828568570857$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$4.60507017098$ |
2.0.212.1 |
$x^{2} + 53$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 53$ |
$2$ |
$14.5602197786$ |
$14.560219778561036$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$2$ |
0 |
$1$ |
2.2.236.1 |
$x^{2} - 59$ |
$2$ |
[2,0] |
$2^{2}\cdot 59$ |
$2$ |
$15.3622914957$ |
$15.362291495737216$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$6.96602329711$ |
2.0.244.1 |
$x^{2} + 61$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 61$ |
$2$ |
$15.6204993518$ |
$15.620499351813308$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$2$ |
0 |
$1$ |
2.2.268.1 |
$x^{2} - 67$ |
$2$ |
[2,0] |
$2^{2}\cdot 67$ |
$2$ |
$16.3707055437$ |
$16.3707055437449$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$11.4894930579$ |
2.0.276.1 |
$x^{2} + 69$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 23$ |
$3$ |
$16.6132477258$ |
$16.61324772583615$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.0.308.1 |
$x^{2} + 77$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 7\cdot 11$ |
$3$ |
$17.5499287748$ |
$17.549928774784245$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.2.332.1 |
$x^{2} - 83$ |
$2$ |
[2,0] |
$2^{2}\cdot 83$ |
$2$ |
$18.2208671583$ |
$18.2208671582886$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$5.0998292455$ |
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 |
$1$ |
2.2.364.1 |
$x^{2} - 91$ |
$2$ |
[2,0] |
$2^{2}\cdot 7\cdot 13$ |
$3$ |
$19.0787840283$ |
$19.078784028338912$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$8.05452250863$ |
2.0.372.1 |
$x^{2} + 93$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 31$ |
$3$ |
$19.287301522$ |
$19.28730152198591$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
0 |
$1$ |
2.0.404.1 |
$x^{2} + 101$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 101$ |
$2$ |
$20.0997512422$ |
$20.09975124224178$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[14]$ |
$2$ |
0 |
$1$ |
2.2.428.1 |
$x^{2} - 107$ |
$2$ |
[2,0] |
$2^{2}\cdot 107$ |
$2$ |
$20.6881608656$ |
$20.688160865577203$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$7.56216136108$ |
2.0.436.1 |
$x^{2} + 109$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 109$ |
$2$ |
$20.8806130178$ |
$20.8806130178211$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$2$ |
0 |
$1$ |
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) |
$[2]$ |
$2$ |
$1$ |
$7.71957379208$ |
2.2.492.1 |
$x^{2} - 123$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 41$ |
$3$ |
$22.1810730128$ |
$22.181073012818835$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$5.49715142831$ |
2.2.524.1 |
$x^{2} - 131$ |
$2$ |
[2,0] |
$2^{2}\cdot 131$ |
$2$ |
$22.8910462845$ |
$22.891046284519195$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$9.96269940995$ |
2.0.532.1 |
$x^{2} + 133$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 7\cdot 19$ |
$3$ |
$23.0651251893$ |
$23.065125189341593$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
0 |
$1$ |
2.2.556.1 |
$x^{2} - 139$ |
$2$ |
[2,0] |
$2^{2}\cdot 139$ |
$2$ |
$23.5796522451$ |
$23.57965224510319$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$18.8597514711$ |
2.0.564.1 |
$x^{2} + 141$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 47$ |
$3$ |
$23.7486841741$ |
$23.748684174075834$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.0.596.1 |
$x^{2} + 149$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 149$ |
$2$ |
$24.4131112315$ |
$24.413111231467404$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[14]$ |
$2$ |
0 |
$1$ |
2.2.620.1 |
$x^{2} - 155$ |
$2$ |
[2,0] |
$2^{2}\cdot 5\cdot 31$ |
$3$ |
$24.899799196$ |
$24.899799195977465$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$6.21059604481$ |
2.0.628.1 |
$x^{2} + 157$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 157$ |
$2$ |
$25.0599281723$ |
$25.059928172283335$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[6]$ |
$2$ |
0 |
$1$ |
2.2.652.1 |
$x^{2} - 163$ |
$2$ |
[2,0] |
$2^{2}\cdot 163$ |
$2$ |
$25.5342906696$ |
$25.534290669607408$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$18.668790447$ |
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 |
$1$ |
2.0.692.1 |
$x^{2} + 173$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 173$ |
$2$ |
$26.3058928759$ |
$26.30589287593181$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[14]$ |
$2$ |
0 |
$1$ |
2.2.716.1 |
$x^{2} - 179$ |
$2$ |
[2,0] |
$2^{2}\cdot 179$ |
$2$ |
$26.7581763205$ |
$26.758176320519304$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$15.9414085905$ |
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 |
$1$ |
2.2.748.1 |
$x^{2} - 187$ |
$2$ |
[2,0] |
$2^{2}\cdot 11\cdot 17$ |
$3$ |
$27.3495886624$ |
$27.349588662354687$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$8.12088593273$ |
2.2.780.1 |
$x^{2} - 195$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 5\cdot 13$ |
$4$ |
$27.9284800875$ |
$27.92848008753788$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$3.33092655264$ |
2.0.788.1 |
$x^{2} + 197$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 197$ |
$2$ |
$28.0713376952$ |
$28.071337695236398$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[10]$ |
$2$ |
0 |
$1$ |
2.2.812.1 |
$x^{2} - 203$ |
$2$ |
[2,0] |
$2^{2}\cdot 7\cdot 29$ |
$3$ |
$28.4956136976$ |
$28.495613697550013$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$4.73612149276$ |
2.0.820.1 |
$x^{2} + 205$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 5\cdot 41$ |
$3$ |
$28.6356421266$ |
$28.635642126552707$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.2.844.1 |
$x^{2} - 211$ |
$2$ |
[2,0] |
$2^{2}\cdot 211$ |
$2$ |
$29.0516780927$ |
$29.0516780926679$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$27.0453080448$ |
2.0.852.1 |
$x^{2} + 213$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 3\cdot 71$ |
$3$ |
$29.1890390387$ |
$29.189039038652847$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.2.876.1 |
$x^{2} - 219$ |
$2$ |
[2,0] |
$2^{2}\cdot 3\cdot 73$ |
$3$ |
$29.5972971739$ |
$29.597297173897484$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
$1$ |
$4.99716661688$ |
2.0.884.1 |
$x^{2} + 221$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 13\cdot 17$ |
$3$ |
$29.7321374946$ |
$29.732137494637012$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$2$ |
0 |
$1$ |
2.2.908.1 |
$x^{2} - 227$ |
$2$ |
[2,0] |
$2^{2}\cdot 227$ |
$2$ |
$30.1330383466$ |
$30.133038346638727$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$6.11367728513$ |
2.0.916.1 |
$x^{2} + 229$ |
$2$ |
[0,1] |
$-\,2^{2}\cdot 229$ |
$2$ |
$30.2654919008$ |
$30.265491900843113$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[10]$ |
$2$ |
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) |
$[6]$ |
$2$ |
$1$ |
$4.52167040866$ |