Number field search results

Results (1-50 of 121601 matches)

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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
2.0.71.1	$x^{2} - x + 18$	$2$	[0,1]	$-\,71$	$1$	$8.42614977318$	$8.426149773176359$	✓	✓	✓	$C_2$ (as 2T1)	$[7]$	$2$	0	$1$
2.0.355.1	$x^{2} - x + 89$	$2$	[0,1]	$-\,5\cdot 71$	$2$	$18.8414436814$	$18.841443681416774$	✓	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	0	$1$
2.2.497.1	$x^{2} - x - 124$	$2$	[2,0]	$7\cdot 71$	$2$	$22.2934968096$	$22.293496809607955$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$14.6925505602$
2.0.568.1	$x^{2} + 142$	$2$	[0,1]	$-\,2^{3}\cdot 71$	$2$	$23.8327505756$	$23.83275057562597$	✓	✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	0	$1$
2.2.781.1	$x^{2} - x - 195$	$2$	[2,0]	$11\cdot 71$	$2$	$27.946377225$	$27.94637722496424$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$18.7223574186$
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	$1$
2.2.1633.1	$x^{2} - x - 408$	$2$	[2,0]	$23\cdot 71$	$2$	$40.4103947024$	$40.4103947023535$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$54.8465061829$
2.0.1704.1	$x^{2} + 426$	$2$	[0,1]	$-\,2^{3}\cdot 3\cdot 71$	$3$	$41.2795348811$	$41.27953488110059$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 12]$	$2$	0	$1$
2.0.2059.1	$x^{2} - x + 515$	$2$	[0,1]	$-\,29\cdot 71$	$2$	$45.3762052182$	$45.37620521815371$	✓	✓	✓	$C_2$ (as 2T1)	$[8]$	$2$	0	$1$
2.2.2201.1	$x^{2} - x - 550$	$2$	[2,0]	$31\cdot 71$	$2$	$46.914816423$	$46.9148164229596$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$45.2783229375$
2.2.2485.1	$x^{2} - x - 621$	$2$	[2,0]	$5\cdot 7\cdot 71$	$3$	$49.8497743225$	$49.84977432245807$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$11.2556691326$
2.0.2627.1	$x^{2} - x + 657$	$2$	[0,1]	$-\,37\cdot 71$	$2$	$51.254268115$	$51.254268114957995$	✓	✓	✓	$C_2$ (as 2T1)	$[12]$	$2$	0	$1$
2.2.2769.1	$x^{2} - x - 692$	$2$	[2,0]	$3\cdot 13\cdot 71$	$3$	$52.6212884677$	$52.62128846769148$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$34.1774715812$
2.0.2840.1	$x^{2} + 710$	$2$	[0,1]	$-\,2^{3}\cdot 5\cdot 71$	$3$	$53.2916503779$	$53.291650377896914$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 16]$	$2$	0	$1$
2.2.3337.1	$x^{2} - x - 834$	$2$	[2,0]	$47\cdot 71$	$2$	$57.7667724561$	$57.766772456144714$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$69.7693940715$
2.2.3621.1	$x^{2} - x - 905$	$2$	[2,0]	$3\cdot 17\cdot 71$	$3$	$60.1747455333$	$60.174745533321534$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$13.6475592527$
2.2.3692.1	$x^{2} - 923$	$2$	[2,0]	$2^{2}\cdot 13\cdot 71$	$3$	$60.7618301239$	$60.76183012385325$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$7.15148484972$
2.2.3905.1	$x^{2} - x - 976$	$2$	[2,0]	$5\cdot 11\cdot 71$	$3$	$62.4899991999$	$62.489999199871974$		✓	✓	$C_2$ (as 2T1)	$[4]$	$2$	$1$	$9.43332390409$
2.2.3976.1	$x^{2} - 994$	$2$	[2,0]	$2^{3}\cdot 7\cdot 71$	$3$	$63.0555310817$	$63.05553108173778$		✓	✓	$C_2$ (as 2T1)	$[8]$	$2$	$1$	$7.72753491641$
2.0.4047.1	$x^{2} - x + 1012$	$2$	[0,1]	$-\,3\cdot 19\cdot 71$	$3$	$63.6160357143$	$63.61603571427569$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 20]$	$2$	0	$1$
2.2.4189.1	$x^{2} - x - 1047$	$2$	[2,0]	$59\cdot 71$	$2$	$64.7224845011$	$64.72248450113763$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$41.962146063$
2.0.4260.1	$x^{2} + 1065$	$2$	[0,1]	$-\,2^{2}\cdot 3\cdot 5\cdot 71$	$4$	$65.2686754883$	$65.26867548832288$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2, 4]$	$2$	0	$1$
2.2.4757.1	$x^{2} - x - 1189$	$2$	[2,0]	$67\cdot 71$	$2$	$68.9710084021$	$68.97100840208152$		✓	✓	$C_2$ (as 2T1)	$[5]$	$2$	$1$	$4.23389639848$
2.2.4828.1	$x^{2} - 1207$	$2$	[2,0]	$2^{2}\cdot 17\cdot 71$	$3$	$69.4838110642$	$69.48381106416083$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$14.6570156728$
2.0.5183.1	$x^{2} - x + 1296$	$2$	[0,1]	$-\,71\cdot 73$	$2$	$71.9930552206$	$71.99305522062528$	✓	✓	✓	$C_2$ (as 2T1)	$[80]$	$2$	0	$1$
2.0.5396.1	$x^{2} + 1349$	$2$	[0,1]	$-\,2^{2}\cdot 19\cdot 71$	$3$	$73.4574706888$	$73.45747068882783$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 28]$	$2$	0	$1$
2.0.5467.1	$x^{2} - x + 1367$	$2$	[0,1]	$-\,7\cdot 11\cdot 71$	$3$	$73.9391641825$	$73.93916418245476$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 4]$	$2$	0	$1$
2.2.5964.1	$x^{2} - 1491$	$2$	[2,0]	$2^{2}\cdot 3\cdot 7\cdot 71$	$4$	$77.2269383052$	$77.22693830523129$		✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$11.8237868103$
2.2.6248.1	$x^{2} - 1562$	$2$	[2,0]	$2^{3}\cdot 11\cdot 71$	$3$	$79.0442913815$	$79.04429138147802$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$15.1037493241$
2.0.6319.1	$x^{2} - x + 1580$	$2$	[0,1]	$-\,71\cdot 89$	$2$	$79.492137976$	$79.4921379760288$	✓	✓	✓	$C_2$ (as 2T1)	$[52]$	$2$	0	$1$
2.0.7171.1	$x^{2} - x + 1793$	$2$	[0,1]	$-\,71\cdot 101$	$2$	$84.6817571854$	$84.6817571853584$	✓	✓	✓	$C_2$ (as 2T1)	$[20]$	$2$	0	$1$
2.2.7384.1	$x^{2} - 1846$	$2$	[2,0]	$2^{3}\cdot 13\cdot 71$	$3$	$85.9302042358$	$85.93020423576334$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$37.0707285905$
2.0.7739.1	$x^{2} - x + 1935$	$2$	[0,1]	$-\,71\cdot 109$	$2$	$87.9715863219$	$87.9715863219483$	✓	✓	✓	$C_2$ (as 2T1)	$[40]$	$2$	0	$1$
2.2.8165.1	$x^{2} - x - 2041$	$2$	[2,0]	$5\cdot 23\cdot 71$	$3$	$90.3603895521$	$90.36038955205981$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$10.9270529666$
2.0.8520.1	$x^{2} + 2130$	$2$	[0,1]	$-\,2^{3}\cdot 3\cdot 5\cdot 71$	$4$	$92.3038460737$	$92.30384607371461$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2, 8]$	$2$	0	$1$
2.2.8733.1	$x^{2} - x - 2183$	$2$	[2,0]	$3\cdot 41\cdot 71$	$3$	$93.4505216679$	$93.45052166788584$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$14.7803518062$
2.2.9017.1	$x^{2} - x - 2254$	$2$	[2,0]	$71\cdot 127$	$2$	$94.9578854019$	$94.95788540189804$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$59.8580642674$
2.0.9159.1	$x^{2} - x + 2290$	$2$	[0,1]	$-\,3\cdot 43\cdot 71$	$3$	$95.7026645397$	$95.7026645397086$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 48]$	$2$	0	$1$
2.2.9372.1	$x^{2} - 2343$	$2$	[2,0]	$2^{2}\cdot 3\cdot 11\cdot 71$	$4$	$96.8090904822$	$96.80909048224758$		✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$9.96636844837$
2.2.9656.1	$x^{2} - 2414$	$2$	[2,0]	$2^{3}\cdot 17\cdot 71$	$3$	$98.2649479723$	$98.26494797230598$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$26.0224446373$
2.2.9869.1	$x^{2} - x - 2467$	$2$	[2,0]	$71\cdot 139$	$2$	$99.3428407083$	$99.34284070832683$		✓	✓	$C_2$ (as 2T1)	$[3]$	$2$	$1$	$8.15392504929$
2.0.10295.1	$x^{2} - x + 2574$	$2$	[0,1]	$-\,5\cdot 29\cdot 71$	$3$	$101.464279429$	$101.46427942877237$	✓	✓	✓	$C_2$ (as 2T1)	$[4, 32]$	$2$	0	$1$
2.0.10792.1	$x^{2} + 2698$	$2$	[0,1]	$-\,2^{3}\cdot 19\cdot 71$	$3$	$103.884551306$	$103.88455130576442$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 12]$	$2$	0	$1$
2.2.11005.1	$x^{2} - x - 2751$	$2$	[2,0]	$5\cdot 31\cdot 71$	$3$	$104.904718674$	$104.9047186736612$		✓	✓	$C_2$ (as 2T1)	$[8]$	$2$	$1$	$7.69757514075$
2.0.11147.1	$x^{2} - x + 2787$	$2$	[0,1]	$-\,71\cdot 157$	$2$	$105.579354042$	$105.57935404235053$	✓	✓	✓	$C_2$ (as 2T1)	$[28]$	$2$	0	$1$
2.2.11289.1	$x^{2} - x - 2822$	$2$	[2,0]	$3\cdot 53\cdot 71$	$3$	$106.249705882$	$106.24970588194586$		✓	✓	$C_2$ (as 2T1)	$[18]$	$2$	$1$	$6.7452349654$
2.0.11431.1	$x^{2} - x + 2858$	$2$	[0,1]	$-\,7\cdot 23\cdot 71$	$3$	$106.915854764$	$106.91585476438937$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 40]$	$2$	0	$1$
2.2.11573.1	$x^{2} - x - 2893$	$2$	[2,0]	$71\cdot 163$	$2$	$107.577878767$	$107.57787876696584$		✓	✓	$C_2$ (as 2T1)	trivial	$2$	$1$	$31.1247892807$
2.2.11644.1	$x^{2} - 2911$	$2$	[2,0]	$2^{2}\cdot 41\cdot 71$	$3$	$107.907367682$	$107.90736768172968$		✓	✓	$C_2$ (as 2T1)	$[2]$	$2$	$1$	$49.5298936845$
2.2.11928.1	$x^{2} - 2982$	$2$	[2,0]	$2^{3}\cdot 3\cdot 7\cdot 71$	$4$	$109.215383532$	$109.21538353180837$		✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$2$	$1$	$9.56085638364$

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