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 |
2.2.5.1 |
$x^{2} - x - 1$ |
$2$ |
[2,0] |
$5$ |
$1$ |
$2.2360679775$ |
$2.23606797749979$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$0.48121182506$ |
2.2.8.1 |
$x^{2} - 2$ |
$2$ |
[2,0] |
$2^{3}$ |
$1$ |
$2.82842712475$ |
$2.8284271247461903$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$0.88137358702$ |
2.2.12.1 |
$x^{2} - 3$ |
$2$ |
[2,0] |
$2^{2}\cdot 3$ |
$2$ |
$3.46410161514$ |
$3.4641016151377544$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$1.31695789692$ |
2.2.13.1 |
$x^{2} - x - 3$ |
$2$ |
[2,0] |
$13$ |
$1$ |
$3.60555127546$ |
$3.605551275463989$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$1.19476321729$ |
2.2.17.1 |
$x^{2} - x - 4$ |
$2$ |
[2,0] |
$17$ |
$1$ |
$4.12310562562$ |
$4.123105625617661$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$2.09471254726$ |
2.2.21.1 |
$x^{2} - x - 5$ |
$2$ |
[2,0] |
$3\cdot 7$ |
$2$ |
$4.58257569496$ |
$4.58257569495584$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$1.56679923697$ |
2.2.24.1 |
$x^{2} - 6$ |
$2$ |
[2,0] |
$2^{3}\cdot 3$ |
$2$ |
$4.89897948557$ |
$4.898979485566356$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$2.29243166956$ |
2.2.28.1 |
$x^{2} - 7$ |
$2$ |
[2,0] |
$2^{2}\cdot 7$ |
$2$ |
$5.29150262213$ |
$5.291502622129181$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$2.76865938331$ |
2.2.29.1 |
$x^{2} - x - 7$ |
$2$ |
[2,0] |
$29$ |
$1$ |
$5.38516480713$ |
$5.385164807134504$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$1.64723114637$ |
2.2.33.1 |
$x^{2} - x - 8$ |
$2$ |
[2,0] |
$3\cdot 11$ |
$2$ |
$5.74456264654$ |
$5.744562646538029$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$3.82816847133$ |
2.2.37.1 |
$x^{2} - x - 9$ |
$2$ |
[2,0] |
$37$ |
$1$ |
$6.0827625303$ |
$6.082762530298219$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$2.49177985264$ |
2.2.41.1 |
$x^{2} - x - 10$ |
$2$ |
[2,0] |
$41$ |
$1$ |
$6.40312423743$ |
$6.4031242374328485$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$4.15912713463$ |
2.2.44.1 |
$x^{2} - 11$ |
$2$ |
[2,0] |
$2^{2}\cdot 11$ |
$2$ |
$6.63324958071$ |
$6.6332495807108$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$2.99322284613$ |
2.2.53.1 |
$x^{2} - x - 13$ |
$2$ |
[2,0] |
$53$ |
$1$ |
$7.28010988928$ |
$7.280109889280518$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$1.96572047165$ |
2.2.56.1 |
$x^{2} - 14$ |
$2$ |
[2,0] |
$2^{3}\cdot 7$ |
$2$ |
$7.48331477355$ |
$7.483314773547883$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$3.40008441411$ |
2.2.57.1 |
$x^{2} - x - 14$ |
$2$ |
[2,0] |
$3\cdot 19$ |
$2$ |
$7.54983443527$ |
$7.54983443527075$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$5.71041605276$ |
2.2.61.1 |
$x^{2} - x - 15$ |
$2$ |
[2,0] |
$61$ |
$1$ |
$7.81024967591$ |
$7.810249675906654$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$3.66421846089$ |
2.2.69.1 |
$x^{2} - x - 17$ |
$2$ |
[2,0] |
$3\cdot 23$ |
$2$ |
$8.30662386292$ |
$8.306623862918075$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$3.21727197116$ |
2.2.73.1 |
$x^{2} - x - 18$ |
$2$ |
[2,0] |
$73$ |
$1$ |
$8.54400374532$ |
$8.54400374531753$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$7.66669041926$ |
2.2.76.1 |
$x^{2} - 19$ |
$2$ |
[2,0] |
$2^{2}\cdot 19$ |
$2$ |
$8.71779788708$ |
$8.717797887081348$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$5.82893696698$ |
2.2.77.1 |
$x^{2} - x - 19$ |
$2$ |
[2,0] |
$7\cdot 11$ |
$2$ |
$8.77496438739$ |
$8.774964387392123$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$2.18464379161$ |
2.2.88.1 |
$x^{2} - 22$ |
$2$ |
[2,0] |
$2^{3}\cdot 11$ |
$2$ |
$9.38083151965$ |
$9.38083151964686$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$5.97634446743$ |
2.2.89.1 |
$x^{2} - x - 22$ |
$2$ |
[2,0] |
$89$ |
$1$ |
$9.43398113206$ |
$9.433981132056603$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$6.90775627898$ |
2.2.92.1 |
$x^{2} - 23$ |
$2$ |
[2,0] |
$2^{2}\cdot 23$ |
$2$ |
$9.59166304663$ |
$9.591663046625438$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$3.87076670029$ |
2.2.93.1 |
$x^{2} - x - 23$ |
$2$ |
[2,0] |
$3\cdot 31$ |
$2$ |
$9.64365076099$ |
$9.643650760992955$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$3.36610464293$ |
2.2.97.1 |
$x^{2} - x - 24$ |
$2$ |
[2,0] |
$97$ |
$1$ |
$9.8488578018$ |
$9.848857801796104$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$9.32438309598$ |
2.2.101.1 |
$x^{2} - x - 25$ |
$2$ |
[2,0] |
$101$ |
$1$ |
$10.0498756211$ |
$10.04987562112089$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$2.9982229503$ |
2.2.109.1 |
$x^{2} - x - 27$ |
$2$ |
[2,0] |
$109$ |
$1$ |
$10.4403065089$ |
$10.44030650891055$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$5.56453508676$ |
2.2.113.1 |
$x^{2} - x - 28$ |
$2$ |
[2,0] |
$113$ |
$1$ |
$10.6301458127$ |
$10.63014581273465$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$7.3473001159$ |
2.2.124.1 |
$x^{2} - 31$ |
$2$ |
[2,0] |
$2^{2}\cdot 31$ |
$2$ |
$11.1355287257$ |
$11.135528725660043$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$8.01961268619$ |
2.2.129.1 |
$x^{2} - x - 32$ |
$2$ |
[2,0] |
$3\cdot 43$ |
$2$ |
$11.3578166916$ |
$11.357816691600547$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$10.4255498073$ |
2.2.133.1 |
$x^{2} - x - 33$ |
$2$ |
[2,0] |
$7\cdot 19$ |
$2$ |
$11.5325625947$ |
$11.532562594670797$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$5.15325818041$ |
2.2.137.1 |
$x^{2} - x - 34$ |
$2$ |
[2,0] |
$137$ |
$1$ |
$11.7046999107$ |
$11.704699910719626$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$8.15708386722$ |
2.2.141.1 |
$x^{2} - x - 35$ |
$2$ |
[2,0] |
$3\cdot 47$ |
$2$ |
$11.874342087$ |
$11.874342087037917$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$5.24699637018$ |
2.2.149.1 |
$x^{2} - x - 37$ |
$2$ |
[2,0] |
$149$ |
$1$ |
$12.2065556157$ |
$12.206555615733702$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$4.11114250086$ |
2.2.152.1 |
$x^{2} - 38$ |
$2$ |
[2,0] |
$2^{3}\cdot 19$ |
$2$ |
$12.3288280059$ |
$12.328828005937952$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$4.30388242811$ |
2.2.157.1 |
$x^{2} - x - 39$ |
$2$ |
[2,0] |
$157$ |
$1$ |
$12.5299640861$ |
$12.529964086141668$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$5.36131420646$ |
2.2.161.1 |
$x^{2} - x - 40$ |
$2$ |
[2,0] |
$7\cdot 23$ |
$2$ |
$12.6885775404$ |
$12.68857754044952$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$10.0668810976$ |
2.2.172.1 |
$x^{2} - 43$ |
$2$ |
[2,0] |
$2^{2}\cdot 43$ |
$2$ |
$13.1148770486$ |
$13.114877048604$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$8.84850928027$ |
2.2.173.1 |
$x^{2} - x - 43$ |
$2$ |
[2,0] |
$173$ |
$1$ |
$13.152946438$ |
$13.152946437965905$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$2.5708146781$ |
2.2.177.1 |
$x^{2} - x - 44$ |
$2$ |
[2,0] |
$3\cdot 59$ |
$2$ |
$13.3041346957$ |
$13.30413469565007$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$11.7348362567$ |
2.2.181.1 |
$x^{2} - x - 45$ |
$2$ |
[2,0] |
$181$ |
$1$ |
$13.4536240471$ |
$13.45362404707371$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$7.17395890695$ |
2.2.184.1 |
$x^{2} - 46$ |
$2$ |
[2,0] |
$2^{3}\cdot 23$ |
$2$ |
$13.5646599663$ |
$13.564659966250536$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$10.7928181024$ |
2.2.188.1 |
$x^{2} - 47$ |
$2$ |
[2,0] |
$2^{2}\cdot 47$ |
$2$ |
$13.7113092008$ |
$13.711309200802088$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$4.56423966686$ |
2.2.193.1 |
$x^{2} - x - 48$ |
$2$ |
[2,0] |
$193$ |
$1$ |
$13.8924439894$ |
$13.892443989449804$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$15.0763165232$ |
2.2.197.1 |
$x^{2} - x - 49$ |
$2$ |
[2,0] |
$197$ |
$1$ |
$14.0356688476$ |
$14.035668847618199$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$3.33347758688$ |
2.2.201.1 |
$x^{2} - x - 50$ |
$2$ |
[2,0] |
$3\cdot 67$ |
$2$ |
$14.1774468788$ |
$14.177446878757825$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$13.8452538092$ |
2.2.209.1 |
$x^{2} - x - 52$ |
$2$ |
[2,0] |
$11\cdot 19$ |
$2$ |
$14.4568322948$ |
$14.45683229480096$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$11.4414509452$ |
2.2.213.1 |
$x^{2} - x - 53$ |
$2$ |
[2,0] |
$3\cdot 71$ |
$2$ |
$14.5945195193$ |
$14.594519519326424$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$4.29027173584$ |
2.2.217.1 |
$x^{2} - x - 54$ |
$2$ |
[2,0] |
$7\cdot 31$ |
$2$ |
$14.7309198627$ |
$14.730919862656235$ |
|
✓ |
✓ |
$C_2$ (as 2T1) |
trivial |
$2$ |
$1$ |
$15.8551876187$ |
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