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Degree	Signature	Discriminant	Root discriminant	Galois root discriminant

Ramified prime count	Ramified	Unramified primes	Maximum ramified prime	Galois group

Class group structure	Class number	Regulator	Intermediate field	Field is

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Monogenic	Index	Ines. $p$	Minimal sibling	Unit signature rank

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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	Narrow class group	Unit group torsion	Unit group rank	Regulator	Unit signature rank	Max $p$
2.2.316.1	$x^{2} - 79$	$2$	(2, 0)	$2^{2}\cdot 79$	$2$	$17.7763888346$	$17.776388834631177$		✓	✓	$C_2$ (as 2T1)	$[3]$	$[6]$	$2$	$1$	$5.07513475044$	$1$	$79$
2.2.632.1	$x^{2} - 158$	$2$	(2, 0)	$2^{3}\cdot 79$	$2$	$25.13961018$	$25.13961017995307$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$9.64769166478$	$1$	$79$
2.2.869.1	$x^{2} - x - 217$	$2$	(2, 0)	$11\cdot 79$	$2$	$29.478805946$	$29.478805945967352$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$10.8072400073$	$1$	$79$
2.0.948.1	$x^{2} + 237$	$2$	(0, 1)	$-\,2^{2}\cdot 3\cdot 79$	$3$	$30.7896086367$	$30.789608636681304$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$[2, 6]$	$2$	0	$1$	$0$	$79$
2.0.1343.1	$x^{2} - x + 336$	$2$	(0, 1)	$-\,17\cdot 79$	$2$	$36.6469644036$	$36.64696440361739$	✓	✓	✓	$C_2$ (as 2T1)	$[34]$	$[34]$	$2$	0	$1$	$0$	$79$
2.2.1501.1	$x^{2} - x - 375$	$2$	(2, 0)	$19\cdot 79$	$2$	$38.7427412556$	$38.742741255621034$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$21.8227346843$	$1$	$79$
2.2.1580.1	$x^{2} - 395$	$2$	(2, 0)	$2^{2}\cdot 5\cdot 79$	$3$	$39.7492138287$	$39.74921382870358$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[2, 2]$	$2$	$1$	$5.76204149378$	$1$	$79$
2.2.1817.1	$x^{2} - x - 454$	$2$	(2, 0)	$23\cdot 79$	$2$	$42.6262829719$	$42.62628297189423$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$31.4996090436$	$1$	$79$
2.0.1896.1	$x^{2} + 474$	$2$	(0, 1)	$-\,2^{3}\cdot 3\cdot 79$	$3$	$43.5430821142$	$43.54308211415448$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 10]$	$[2, 10]$	$2$	0	$1$	$0$	$79$
2.0.2212.1	$x^{2} + 553$	$2$	(0, 1)	$-\,2^{2}\cdot 7\cdot 79$	$3$	$47.0319040652$	$47.031904065219386$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 4]$	$[2, 4]$	$2$	0	$1$	$0$	$79$
2.0.2291.1	$x^{2} - x + 573$	$2$	(0, 1)	$-\,29\cdot 79$	$2$	$47.8643917751$	$47.86439177509728$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$79$
2.2.2449.1	$x^{2} - x - 612$	$2$	(2, 0)	$31\cdot 79$	$2$	$49.4873721266$	$49.48737212663449$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$72.6418936693$	$1$	$79$
2.0.2607.1	$x^{2} - x + 652$	$2$	(0, 1)	$-\,3\cdot 11\cdot 79$	$3$	$51.0587896449$	$51.05878964487897$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 14]$	$[2, 14]$	$2$	0	$1$	$0$	$79$
2.0.2923.1	$x^{2} - x + 731$	$2$	(0, 1)	$-\,37\cdot 79$	$2$	$54.0647759637$	$54.064775963653084$	✓	✓	✓	$C_2$ (as 2T1)	$[6]$	$[6]$	$2$	0	$1$	$0$	$79$
2.2.3160.1	$x^{2} - 790$	$2$	(2, 0)	$2^{3}\cdot 5\cdot 79$	$3$	$56.2138772902$	$56.213877290220786$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[2, 2]$	$2$	$1$	$23.3059140839$	$1$	$79$
2.0.3239.1	$x^{2} - x + 810$	$2$	(0, 1)	$-\,41\cdot 79$	$2$	$56.9122131005$	$56.91221310052878$	✓	✓	✓	$C_2$ (as 2T1)	$[70]$	$[70]$	$2$	0	$1$	$0$	$79$
2.2.4029.1	$x^{2} - x - 1007$	$2$	(2, 0)	$3\cdot 17\cdot 79$	$3$	$63.4744042902$	$63.474404290233394$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[2, 2]$	$2$	$1$	$18.2146996957$	$1$	$79$
2.2.4108.1	$x^{2} - 1027$	$2$	(2, 0)	$2^{2}\cdot 13\cdot 79$	$3$	$64.0936814358$	$64.09368143584827$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[2, 2]$	$2$	$1$	$19.4001370023$	$1$	$79$
2.0.4187.1	$x^{2} - x + 1047$	$2$	(0, 1)	$-\,53\cdot 79$	$2$	$64.7070320753$	$64.70703207534712$	✓	✓	✓	$C_2$ (as 2T1)	$[14]$	$[14]$	$2$	0	$1$	$0$	$79$
2.2.4345.1	$x^{2} - x - 1086$	$2$	(2, 0)	$5\cdot 11\cdot 79$	$3$	$65.9166139907$	$65.91661399070799$		✓	✓	$C_2$ (as 2T1)	$[12]$	$[2, 12]$	$2$	$1$	$7.36644474876$	$1$	$79$
2.0.4424.1	$x^{2} + 1106$	$2$	(0, 1)	$-\,2^{3}\cdot 7\cdot 79$	$3$	$66.5131565933$	$66.51315659326356$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 24]$	$[2, 24]$	$2$	0	$1$	$0$	$79$
2.0.4503.1	$x^{2} - x + 1126$	$2$	(0, 1)	$-\,3\cdot 19\cdot 79$	$3$	$67.1043962792$	$67.10439627923047$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 12]$	$[2, 12]$	$2$	0	$1$	$0$	$79$
2.0.4740.1	$x^{2} + 1185$	$2$	(0, 1)	$-\,2^{2}\cdot 3\cdot 5\cdot 79$	$4$	$68.8476579122$	$68.84765791223403$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2, 4]$	$[2, 2, 4]$	$2$	0	$1$	$0$	$79$
2.0.4819.1	$x^{2} - x + 1205$	$2$	(0, 1)	$-\,61\cdot 79$	$2$	$69.4190175672$	$69.41901756723442$	✓	✓	✓	$C_2$ (as 2T1)	$[18]$	$[18]$	$2$	0	$1$	$0$	$79$
2.2.5293.1	$x^{2} - x - 1323$	$2$	(2, 0)	$67\cdot 79$	$2$	$72.7530068107$	$72.75300681071539$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$31.1171141064$	$1$	$79$
2.0.5451.1	$x^{2} - x + 1363$	$2$	(0, 1)	$-\,3\cdot 23\cdot 79$	$3$	$73.8308878451$	$73.83088784512888$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 14]$	$[2, 14]$	$2$	0	$1$	$0$	$79$
2.0.6083.1	$x^{2} - x + 1521$	$2$	(0, 1)	$-\,7\cdot 11\cdot 79$	$3$	$77.9935894802$	$77.99358948016176$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 12]$	$[2, 12]$	$2$	0	$1$	$0$	$79$
2.2.6557.1	$x^{2} - x - 1639$	$2$	(2, 0)	$79\cdot 83$	$2$	$80.9753048775$	$80.97530487747484$		✓	✓	$C_2$ (as 2T1)	$[3]$	$[6]$	$2$	$1$	$4.39429670402$	$1$	$83$
2.2.6636.1	$x^{2} - 1659$	$2$	(2, 0)	$2^{2}\cdot 3\cdot 7\cdot 79$	$4$	$81.4616474177$	$81.4616474176652$		✓	✓	$C_2$ (as 2T1)	$[2, 2]$	$[2, 2, 2]$	$2$	$1$	$14.2178441012$	$1$	$79$
2.0.6715.1	$x^{2} - x + 1679$	$2$	(0, 1)	$-\,5\cdot 17\cdot 79$	$3$	$81.9451035755$	$81.94510357550352$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 6]$	$[2, 6]$	$2$	0	$1$	$0$	$79$
2.2.6873.1	$x^{2} - x - 1718$	$2$	(2, 0)	$3\cdot 29\cdot 79$	$3$	$82.9035584279$	$82.90355842785037$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[2, 2]$	$2$	$1$	$32.8500353612$	$1$	$79$
2.2.6952.1	$x^{2} - 1738$	$2$	(2, 0)	$2^{3}\cdot 11\cdot 79$	$3$	$83.3786543427$	$83.37865434270333$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[2, 2]$	$2$	$1$	$36.2621555538$	$1$	$79$
2.0.7347.1	$x^{2} - x + 1837$	$2$	(0, 1)	$-\,3\cdot 31\cdot 79$	$3$	$85.7146428564$	$85.71464285639881$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 8]$	$[2, 8]$	$2$	0	$1$	$0$	$79$
2.2.7505.1	$x^{2} - x - 1876$	$2$	(2, 0)	$5\cdot 19\cdot 79$	$3$	$86.6314030823$	$86.63140308225418$		✓	✓	$C_2$ (as 2T1)	$[4]$	$[2, 4]$	$2$	$1$	$22.3005213298$	$1$	$79$
2.2.8216.1	$x^{2} - 2054$	$2$	(2, 0)	$2^{3}\cdot 13\cdot 79$	$3$	$90.642153549$	$90.64215354899729$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[2, 2]$	$2$	$1$	$15.1384385108$	$1$	$79$
2.0.8611.1	$x^{2} - x + 2153$	$2$	(0, 1)	$-\,79\cdot 109$	$2$	$92.7954740276$	$92.79547402756236$	✓	✓	✓	$C_2$ (as 2T1)	$[14]$	$[14]$	$2$	0	$1$	$0$	$109$
2.2.8769.1	$x^{2} - x - 2192$	$2$	(2, 0)	$3\cdot 37\cdot 79$	$3$	$93.6429388689$	$93.64293886887575$		✓	✓	$C_2$ (as 2T1)	$[6]$	$[2, 6]$	$2$	$1$	$14.6447739127$	$1$	$79$
2.0.8927.1	$x^{2} - x + 2232$	$2$	(0, 1)	$-\,79\cdot 113$	$2$	$94.482802668$	$94.4828026679988$	✓	✓	✓	$C_2$ (as 2T1)	$[82]$	$[82]$	$2$	0	$1$	$0$	$113$
2.2.9085.1	$x^{2} - x - 2271$	$2$	(2, 0)	$5\cdot 23\cdot 79$	$3$	$95.3152663533$	$95.31526635329726$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[2, 2]$	$2$	$1$	$15.1748031299$	$1$	$79$
2.2.9401.1	$x^{2} - x - 2350$	$2$	(2, 0)	$7\cdot 17\cdot 79$	$3$	$96.9587541174$	$96.95875411740809$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[2, 2]$	$2$	$1$	$39.5569311164$	$1$	$79$
2.0.9480.1	$x^{2} + 2370$	$2$	(0, 1)	$-\,2^{3}\cdot 3\cdot 5\cdot 79$	$4$	$97.3652915571$	$97.36529155710468$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2, 6]$	$[2, 2, 6]$	$2$	0	$1$	$0$	$79$
2.2.9717.1	$x^{2} - x - 2429$	$2$	(2, 0)	$3\cdot 41\cdot 79$	$3$	$98.5748446613$	$98.57484466130292$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[2, 2]$	$2$	$1$	$13.1683515243$	$1$	$79$
2.2.10349.1	$x^{2} - x - 2587$	$2$	(2, 0)	$79\cdot 131$	$2$	$101.730034896$	$101.73003489628813$		✓	✓	$C_2$ (as 2T1)	trivial	$[2]$	$2$	$1$	$31.7733363413$	$1$	$131$
2.0.10507.1	$x^{2} - x + 2627$	$2$	(0, 1)	$-\,7\cdot 19\cdot 79$	$3$	$102.503658471$	$102.50365847129555$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 10]$	$[2, 10]$	$2$	0	$1$	$0$	$79$
2.0.10744.1	$x^{2} + 2686$	$2$	(0, 1)	$-\,2^{3}\cdot 17\cdot 79$	$3$	$103.653268159$	$103.6532681587995$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 16]$	$[2, 16]$	$2$	0	$1$	$0$	$79$
2.0.10823.1	$x^{2} - x + 2706$	$2$	(0, 1)	$-\,79\cdot 137$	$2$	$104.033648403$	$104.03364840281245$	✓	✓	✓	$C_2$ (as 2T1)	$[74]$	$[74]$	$2$	0	$1$	$0$	$137$
2.0.11060.1	$x^{2} + 2765$	$2$	(0, 1)	$-\,2^{2}\cdot 5\cdot 7\cdot 79$	$4$	$105.166534601$	$105.16653460107925$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 2, 14]$	$[2, 2, 14]$	$2$	0	$1$	$0$	$79$
2.2.11297.1	$x^{2} - x - 2824$	$2$	(2, 0)	$11\cdot 13\cdot 79$	$3$	$106.287346378$	$106.28734637763802$		✓	✓	$C_2$ (as 2T1)	$[2]$	$[2, 2]$	$2$	$1$	$35.6711136566$	$1$	$79$
2.0.11455.1	$x^{2} - x + 2864$	$2$	(0, 1)	$-\,5\cdot 29\cdot 79$	$3$	$107.028033711$	$107.02803371079933$	✓	✓	✓	$C_2$ (as 2T1)	$[2, 20]$	$[2, 20]$	$2$	0	$1$	$0$	$79$
2.0.11771.1	$x^{2} - x + 2943$	$2$	(0, 1)	$-\,79\cdot 149$	$2$	$108.494239478$	$108.49423947841655$	✓	✓	✓	$C_2$ (as 2T1)	$[30]$	$[30]$	$2$	0	$1$	$0$	$149$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.