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 |
2.0.8.1 |
$x^{2} + 2$ |
$2$ |
[0,1] |
$-\,2^{3}$ |
$1$ |
$2.82842712475$ |
$2.8284271247461903$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
0 |
$1$ |
2.2.56.1 |
$x^{2} - 14$ |
$2$ |
[2,0] |
$2^{3}\cdot 7$ |
$2$ |
$7.48331477355$ |
$7.483314773547883$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$3.40008441411$ |
2.2.120.1 |
$x^{2} - 30$ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 5$ |
$3$ |
$10.9544511501$ |
$10.954451150103322$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$3.08896990484$ |
2.0.136.1 |
$x^{2} + 34$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 17$ |
$2$ |
$11.6619037897$ |
$11.661903789690601$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
0 |
$1$ |
2.2.184.1 |
$x^{2} - 46$ |
$2$ |
[2,0] |
$2^{3}\cdot 23$ |
$2$ |
$13.5646599663$ |
$13.564659966250536$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$10.7928181024$ |
2.2.248.1 |
$x^{2} - 62$ |
$2$ |
[2,0] |
$2^{3}\cdot 31$ |
$2$ |
$15.748015748$ |
$15.748015748023622$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$4.83621891284$ |
2.0.264.1 |
$x^{2} + 66$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 3\cdot 11$ |
$3$ |
$16.2480768093$ |
$16.24807680927192$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.2.312.1 |
$x^{2} - 78$ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 13$ |
$3$ |
$17.6635217327$ |
$17.663521732655695$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$4.66335008258$ |
2.0.328.1 |
$x^{2} + 82$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 41$ |
$2$ |
$18.1107702763$ |
$18.110770276274835$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[4]$ |
$2$ |
0 |
$1$ |
2.2.376.1 |
$x^{2} - 94$ |
$2$ |
[2,0] |
$2^{3}\cdot 47$ |
$2$ |
$19.3907194297$ |
$19.390719429665317$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$15.271002103$ |
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) |
$[2]$ |
$2$ |
$1$ |
$3.7371022422$ |
2.0.456.1 |
$x^{2} + 114$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 3\cdot 19$ |
$3$ |
$21.3541565041$ |
$21.354156504062622$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.0.520.1 |
$x^{2} + 130$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 5\cdot 13$ |
$3$ |
$22.803508502$ |
$22.80350850198276$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
0 |
$1$ |
2.2.568.1 |
$x^{2} - 142$ |
$2$ |
[2,0] |
$2^{3}\cdot 71$ |
$2$ |
$23.8327505756$ |
$23.83275057562597$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[3]$ |
$2$ |
$1$ |
$5.65597958506$ |
2.0.584.1 |
$x^{2} + 146$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 73$ |
$2$ |
$24.1660919472$ |
$24.166091947189145$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[16]$ |
$2$ |
0 |
$1$ |
2.2.632.1 |
$x^{2} - 158$ |
$2$ |
[2,0] |
$2^{3}\cdot 79$ |
$2$ |
$25.13961018$ |
$25.13961017995307$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$9.64769166478$ |
2.2.696.1 |
$x^{2} - 174$ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 29$ |
$3$ |
$26.3818119165$ |
$26.38181191654584$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$7.9731553147$ |
2.0.712.1 |
$x^{2} + 178$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 89$ |
$2$ |
$26.6833281283$ |
$26.68332812825267$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
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) |
$[2]$ |
$2$ |
$1$ |
$11.5525499427$ |
2.0.776.1 |
$x^{2} + 194$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 97$ |
$2$ |
$27.8567765544$ |
$27.85677655436824$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[20]$ |
$2$ |
0 |
$1$ |
2.2.824.1 |
$x^{2} - 206$ |
$2$ |
[2,0] |
$2^{3}\cdot 103$ |
$2$ |
$28.7054001888$ |
$28.705400188814647$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$11.6874668344$ |
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 |
$1$ |
2.2.888.1 |
$x^{2} - 222$ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 37$ |
$3$ |
$29.7993288515$ |
$29.79932885150268$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$5.69708222556$ |
2.0.904.1 |
$x^{2} + 226$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 113$ |
$2$ |
$30.0665927567$ |
$30.066592756745816$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
0 |
$1$ |
2.2.952.1 |
$x^{2} - 238$ |
$2$ |
[2,0] |
$2^{3}\cdot 7\cdot 17$ |
$3$ |
$30.8544972411$ |
$30.854497241083024$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$10.0573238954$ |
2.2.1016.1 |
$x^{2} - 254$ |
$2$ |
[2,0] |
$2^{3}\cdot 127$ |
$2$ |
$31.874754901$ |
$31.874754901018456$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[3]$ |
$2$ |
$1$ |
$6.23440688102$ |
2.0.1032.1 |
$x^{2} + 258$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 3\cdot 43$ |
$3$ |
$32.1247568084$ |
$32.12475680841802$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.0.1096.1 |
$x^{2} + 274$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 137$ |
$2$ |
$33.1058907145$ |
$33.1058907144937$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[12]$ |
$2$ |
0 |
$1$ |
2.2.1144.1 |
$x^{2} - 286$ |
$2$ |
[2,0] |
$2^{3}\cdot 11\cdot 13$ |
$3$ |
$33.8230690506$ |
$33.823069050575526$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$13.932110672$ |
2.0.1160.1 |
$x^{2} + 290$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 5\cdot 29$ |
$3$ |
$34.0587727319$ |
$34.058772731852805$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 10]$ |
$2$ |
0 |
$1$ |
2.2.1208.1 |
$x^{2} - 302$ |
$2$ |
[2,0] |
$2^{3}\cdot 151$ |
$2$ |
$34.756294394$ |
$34.75629439396553$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$15.961821418$ |
2.2.1272.1 |
$x^{2} - 318$ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 53$ |
$3$ |
$35.6651090003$ |
$35.66510900025401$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$5.36595417834$ |
2.0.1288.1 |
$x^{2} + 322$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 7\cdot 23$ |
$3$ |
$35.8887168899$ |
$35.888716889852724$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.2.1336.1 |
$x^{2} - 334$ |
$2$ |
[2,0] |
$2^{3}\cdot 167$ |
$2$ |
$36.551333765$ |
$36.55133376499413$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$32.4799900381$ |
2.0.1416.1 |
$x^{2} + 354$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 3\cdot 59$ |
$3$ |
$37.6297754445$ |
$37.62977544445356$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$2$ |
0 |
$1$ |
2.2.1464.1 |
$x^{2} - 366$ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 61$ |
$3$ |
$38.2622529394$ |
$38.262252939417984$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$14.4120642356$ |
2.0.1480.1 |
$x^{2} + 370$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 5\cdot 37$ |
$3$ |
$38.4707681233$ |
$38.47076812334269$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 6]$ |
$2$ |
0 |
$1$ |
2.2.1528.1 |
$x^{2} - 382$ |
$2$ |
[2,0] |
$2^{3}\cdot 191$ |
$2$ |
$39.0896405714$ |
$39.08964057138413$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$26.5223490368$ |
2.0.1544.1 |
$x^{2} + 386$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 193$ |
$2$ |
$39.2937654088$ |
$39.293765408777$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[20]$ |
$2$ |
0 |
$1$ |
2.2.1592.1 |
$x^{2} - 398$ |
$2$ |
[2,0] |
$2^{3}\cdot 199$ |
$2$ |
$39.8998746865$ |
$39.89987468652001$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$6.6821070271$ |
2.0.1608.1 |
$x^{2} + 402$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 3\cdot 67$ |
$3$ |
$40.0998753115$ |
$40.099875311526844$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 8]$ |
$2$ |
0 |
$1$ |
2.0.1672.1 |
$x^{2} + 418$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 11\cdot 19$ |
$3$ |
$40.8900966005$ |
$40.890096600521744$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 4]$ |
$2$ |
0 |
$1$ |
2.2.1720.1 |
$x^{2} - 430$ |
$2$ |
[2,0] |
$2^{3}\cdot 5\cdot 43$ |
$3$ |
$41.4728827067$ |
$41.47288270665544$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$15.5602661167$ |
2.0.1736.1 |
$x^{2} + 434$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 7\cdot 31$ |
$3$ |
$41.665333312$ |
$41.66533331199932$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 12]$ |
$2$ |
0 |
$1$ |
2.2.1784.1 |
$x^{2} - 446$ |
$2$ |
[2,0] |
$2^{3}\cdot 223$ |
$2$ |
$42.2374241639$ |
$42.23742416388575$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$19.2106461939$ |
2.2.1848.1 |
$x^{2} - 462$ |
$2$ |
[2,0] |
$2^{3}\cdot 3\cdot 7\cdot 11$ |
$4$ |
$42.9883705204$ |
$42.988370520409354$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2, 2]$ |
$2$ |
$1$ |
$4.4542120606$ |
2.0.1864.1 |
$x^{2} + 466$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 233$ |
$2$ |
$43.1740662898$ |
$43.174066289845804$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[8]$ |
$2$ |
0 |
$1$ |
2.2.1912.1 |
$x^{2} - 478$ |
$2$ |
[2,0] |
$2^{3}\cdot 239$ |
$2$ |
$43.7264222182$ |
$43.726422218150894$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$35.7126937729$ |
2.0.1928.1 |
$x^{2} + 482$ |
$2$ |
[0,1] |
$-\,2^{3}\cdot 241$ |
$2$ |
$43.9089968002$ |
$43.9089968002003$ |
✓ |
✓ |
✓ |
$C_2$ (as 2T1) |
$[20]$ |
$2$ |
0 |
$1$ |
2.2.1976.1 |
$x^{2} - 494$ |
$2$ |
[2,0] |
$2^{3}\cdot 13\cdot 19$ |
$3$ |
$44.4522215418$ |
$44.45222154178574$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
$[2]$ |
$2$ |
$1$ |
$11.8918412378$ |