Number field search results

Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)

Results (1-50 of )

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Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
2.0.191.1	x^2 - x + 48	$2$	[0,1]	$-\,191$	$1$	$13.8202749611$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.263.1	x^2 - x + 66	$2$	[0,1]	$-\,263$	$1$	$16.2172747402$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.607.1	x^2 - x + 152	$2$	[0,1]	$-\,607$	$1$	$24.6373699895$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.631.1	x^2 - x + 158	$2$	[0,1]	$-\,631$	$1$	$25.1197133742$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.727.1	x^2 - x + 182	$2$	[0,1]	$-\,727$	$1$	$26.9629375254$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.1019.1	x^2 - x + 255	$2$	[0,1]	$-\,1019$	$1$	$31.921779399$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.1451.1	x^2 - x + 363	$2$	[0,1]	$-\,1451$	$1$	$38.0919939095$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.1499.1	x^2 - x + 375	$2$	[0,1]	$-\,1499$	$1$	$38.7169213652$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.1667.1	x^2 - x + 417	$2$	[0,1]	$-\,1667$	$1$	$40.8289113252$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.1907.1	x^2 - x + 477	$2$	[0,1]	$-\,1907$	$1$	$43.6692111218$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.2131.1	x^2 - x + 533	$2$	[0,1]	$-\,2131$	$1$	$46.1627555503$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.2143.1	x^2 - x + 536	$2$	[0,1]	$-\,2143$	$1$	$46.2925479964$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.2371.1	x^2 - x + 593	$2$	[0,1]	$-\,2371$	$1$	$48.6929152958$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.2659.1	x^2 - x + 665	$2$	[0,1]	$-\,2659$	$1$	$51.5654923374$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.2963.1	x^2 - x + 741	$2$	[0,1]	$-\,2963$	$1$	$54.433445601$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.3083.1	x^2 - x + 771	$2$	[0,1]	$-\,3083$	$1$	$55.5247692476$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.3691.1	x^2 - x + 923	$2$	[0,1]	$-\,3691$	$1$	$60.7536007163$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.4003.1	x^2 - x + 1001	$2$	[0,1]	$-\,4003$	$1$	$63.2692658405$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.4507.1	x^2 - x + 1127	$2$	[0,1]	$-\,4507$	$1$	$67.13419397$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.4643.1	x^2 - x + 1161	$2$	[0,1]	$-\,4643$	$1$	$68.1395626637$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.5347.1	x^2 - x + 1337	$2$	[0,1]	$-\,5347$	$1$	$73.1231837381$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.5419.1	x^2 - x + 1355	$2$	[0,1]	$-\,5419$	$1$	$73.6138573911$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.5779.1	x^2 - x + 1445	$2$	[0,1]	$-\,5779$	$1$	$76.01973428$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.6619.1	x^2 - x + 1655	$2$	[0,1]	$-\,6619$	$1$	$81.3572369246$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.7243.1	x^2 - x + 1811	$2$	[0,1]	$-\,7243$	$1$	$85.1058164875$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.7963.1	x^2 - x + 1991	$2$	[0,1]	$-\,7963$	$1$	$89.235643103$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.2.8101.1	x^2 - x - 2025	$2$	[2,0]	$8101$	$1$	$90.0055553841$		✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$1$	$5.19298771366$
2.2.8441.1	x^2 - x - 2110	$2$	[2,0]	$23\cdot 367$	$2$	$91.8749149659$		✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$1$	$7.293017217$
2.0.9547.1	x^2 - x + 2387	$2$	[0,1]	$-\,9547$	$1$	$97.7087508875$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.9739.1	x^2 - x + 2435	$2$	[0,1]	$-\,9739$	$1$	$98.6863719062$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.11467.1	x^2 - x + 2867	$2$	[0,1]	$-\,11467$	$1$	$107.084079115$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.11587.1	x^2 - x + 2897	$2$	[0,1]	$-\,11587$	$1$	$107.64292824$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.11827.1	x^2 - x + 2957	$2$	[0,1]	$-\,11827$	$1$	$108.752011476$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.11923.1	x^2 - x + 2981	$2$	[0,1]	$-\,11923$	$1$	$109.192490584$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.0.12043.1	x^2 - x + 3011	$2$	[0,1]	$-\,12043$	$1$	$109.740603242$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.2.13033.1	x^2 - x - 3258	$2$	[2,0]	$13033$	$1$	$114.162165361$		✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$1$	$9.04168501996$
2.2.13457.1	x^2 - x - 3364	$2$	[2,0]	$13457$	$1$	$116.004310265$		✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$1$	$5.44675595022$
2.2.14113.1	x^2 - x - 3528	$2$	[2,0]	$11\cdot 1283$	$2$	$118.798148134$		✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$1$	$11.7621421389$
2.0.14347.1	x^2 - x + 3587	$2$	[0,1]	$-\,14347$	$1$	$119.778963095$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.2.15377.1	x^2 - x - 3844	$2$	[2,0]	$15377$	$1$	$124.004032193$		✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$1$	$5.51344500487$
2.0.15787.1	x^2 - x + 3947	$2$	[0,1]	$-\,15787$	$1$	$125.646329035$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.2.15877.1	x^2 - x - 3969	$2$	[2,0]	$15877$	$1$	$126.003968191$		✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$1$	$5.52944483418$
2.2.16753.1	x^2 - x - 4188	$2$	[2,0]	$11\cdot 1523$	$2$	$129.433380548$		✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$1$	$15.5171261126$
2.0.16963.1	x^2 - x + 4241	$2$	[0,1]	$-\,16963$	$1$	$130.242082293$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.2.18817.1	x^2 - x - 4704	$2$	[2,0]	$31\cdot 607$	$2$	$137.175070621$		✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$1$	$15.1725815456$
2.2.19036.1	x^2 - 4759	$2$	[2,0]	$2^{2}\cdot 4759$	$2$	$137.971011448$		✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$1$	$9.16115011675$
2.0.20563.1	x^2 - x + 5141	$2$	[0,1]	$-\,20563$	$1$	$143.398047407$	✓	✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$0$	$1$
2.2.20977.1	x^2 - x - 5244	$2$	[2,0]	$11\cdot 1907$	$2$	$144.834388182$		✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$1$	$12.523092622$
2.2.21613.1	x^2 - x - 5403	$2$	[2,0]	$21613$	$1$	$147.013604813$		✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$1$	$4.99047886058$
2.2.26241.1	x^2 - x - 6560	$2$	[2,0]	$3\cdot 8747$	$2$	$161.990740476$		✓	✓	$C_2$ (as 2T1)	$[13]$	$2$	$1$	$10.4628175845$

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