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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
3.1.5415.1	$x^{3} - x^{2} - 6 x + 45$	$3$	[1,1]	$-\,3\cdot 5\cdot 19^{2}$	$3$	$17.5603359542$	$27.57706419990631$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$4.07349607774$
3.1.14440.1	$x^{3} - x^{2} - 6 x + 26$	$3$	[1,1]	$-\,2^{3}\cdot 5\cdot 19^{2}$	$3$	$24.3513138304$	$45.0331572624958$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$15.0156599625$
3.3.15884.1	$x^{3} - 38 x - 76$	$3$	[3,0]	$2^{2}\cdot 11\cdot 19^{2}$	$3$	$25.1373770524$	$47.23117379794351$				$S_3$ (as 3T2)	$[3]$	$2$	$2$	$17.2843457876$
3.3.17689.2	$x^{3} - x^{2} - 44 x + 64$	$3$	[3,0]	$7^{2}\cdot 19^{2}$	$2$	$26.0556009339$	$26.05560093389125$		✓		$C_3$ (as 3T1)	$[3]$	$2$	$2$	$32.4707206114$
3.1.20216.1	$x^{3} - 19 x - 114$	$3$	[1,1]	$-\,2^{3}\cdot 7\cdot 19^{2}$	$3$	$27.2415455073$	$53.28395024995941$				$S_3$ (as 3T2)	$[6]$	$2$	$1$	$13.3569436752$
3.1.28519.1	$x^{3} - x^{2} - 6 x - 31$	$3$	[1,1]	$-\,19^{2}\cdot 79$	$2$	$30.5523601189$	$63.28720940862885$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$5.25763111933$
3.1.38988.1	$x^{3} - 76$	$3$	[1,1]	$-\,2^{2}\cdot 3^{3}\cdot 19^{2}$	$3$	$33.9086359078$	$40.722133961240765$				$S_3$ (as 3T2)	$[6]$	$2$	$1$	$6.8189204833$
3.1.45847.1	$x^{3} + 19 x - 76$	$3$	[1,1]	$-\,19^{2}\cdot 127$	$2$	$35.7907094896$	$80.24246493201747$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$43.2066670639$
3.1.47652.1	$x^{3} - x^{2} + 32 x - 164$	$3$	[1,1]	$-\,2^{2}\cdot 3\cdot 11\cdot 19^{2}$	$4$	$36.2543712525$	$81.80679271915406$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$31.8659936081$
3.1.53428.1	$x^{3} - x^{2} + 13 x + 83$	$3$	[1,1]	$-\,2^{2}\cdot 19^{2}\cdot 37$	$3$	$37.6636991771$	$86.62300754537509$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$28.4638576771$
3.3.53789.1	$x^{3} - x^{2} - 25 x - 12$	$3$	[3,0]	$19^{2}\cdot 149$	$2$	$37.748336988$	$86.91516017089208$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$2$	$20.6813113072$
3.3.56677.1	$x^{3} - x^{2} - 25 x + 26$	$3$	[3,0]	$19^{2}\cdot 157$	$2$	$38.4121796579$	$89.21794728717738$			✓	$S_3$ (as 3T2)	$[6]$	$2$	$2$	$9.783672685$
3.1.59204.1	$x^{3} - 19 x - 190$	$3$	[1,1]	$-\,2^{2}\cdot 19^{2}\cdot 41$	$3$	$38.9747809783$	$91.18519363042215$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$27.7293946108$
3.3.61009.2	$x^{3} - x^{2} - 82 x + 311$	$3$	[3,0]	$13^{2}\cdot 19^{2}$	$2$	$39.366907718$	$39.36690771803849$		✓	✓	$C_3$ (as 3T1)	$[3]$	$2$	$2$	$7.55764880123$
3.1.72200.2	$x^{3} - x^{2} + 32 x - 88$	$3$	[1,1]	$-\,2^{3}\cdot 5^{2}\cdot 19^{2}$	$3$	$41.64016092$	$58.888080312522455$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$24.0507076661$
3.1.73644.2	$x^{3} - x^{2} + 13 x + 45$	$3$	[1,1]	$-\,2^{2}\cdot 3\cdot 17\cdot 19^{2}$	$4$	$41.9159316119$	$80.71869881493625$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$30.6684830218$
3.1.79059.1	$x^{3} - x^{2} - 25 x + 178$	$3$	[1,1]	$-\,3\cdot 19^{2}\cdot 73$	$3$	$42.9190834512$	$105.37181435437094$				$S_3$ (as 3T2)	$[6]$	$2$	$1$	$15.4450604618$
3.1.85196.1	$x^{3} - x^{2} - 25 x + 349$	$3$	[1,1]	$-\,2^{2}\cdot 19^{2}\cdot 59$	$3$	$44.0020660187$	$86.81905817297995$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$24.3201240884$
3.3.85557.1	$x^{3} - x^{2} - 82 x + 292$	$3$	[3,0]	$3\cdot 19^{2}\cdot 79$	$3$	$44.0641282533$	$109.61666216499624$				$S_3$ (as 3T2)	$[3]$	$2$	$2$	$44.1873591133$
3.1.87723.1	$x^{3} - 171$	$3$	[1,1]	$-\,3^{5}\cdot 19^{2}$	$2$	$44.4328828723$	$53.36109106637179$				$S_3$ (as 3T2)	$[6]$	$2$	$1$	$9.81465581926$
3.1.93860.1	$x^{3} + 38 x - 76$	$3$	[1,1]	$-\,2^{2}\cdot 5\cdot 13\cdot 19^{2}$	$4$	$45.4457752777$	$114.81247382007936$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$31.0044175188$
3.1.96748.1	$x^{3} - x^{2} - 25 x - 69$	$3$	[1,1]	$-\,2^{2}\cdot 19^{2}\cdot 67$	$3$	$45.9071852533$	$92.51804897267431$			✓	$S_3$ (as 3T2)	$[6]$	$2$	$1$	$10.1987283753$
3.1.99636.1	$x^{3} + 57 x - 76$	$3$	[1,1]	$-\,2^{2}\cdot 3\cdot 19^{2}\cdot 23$	$4$	$46.3595019207$	$118.2924268323965$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$33.6793316773$
3.1.103607.1	$x^{3} - x^{2} - 44 x + 463$	$3$	[1,1]	$-\,7\cdot 19^{2}\cdot 41$	$3$	$46.9673834364$	$120.62667279868398$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$9.14920749608$
3.1.106495.1	$x^{3} - x^{2} + 70 x + 197$	$3$	[1,1]	$-\,5\cdot 19^{2}\cdot 59$	$3$	$47.3997887319$	$122.29632554204767$				$S_3$ (as 3T2)	$[6]$	$2$	$1$	$5.9270469119$
3.1.108300.2	$x^{3} - 190$	$3$	[1,1]	$-\,2^{2}\cdot 3\cdot 5^{2}\cdot 19^{2}$	$4$	$47.6660852674$	$57.24396330617363$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$38.8204508012$
3.3.108661.1	$x^{3} - 76 x - 247$	$3$	[3,0]	$7\cdot 19^{2}\cdot 43$	$3$	$47.7189888461$	$123.53375663777412$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$2$	$24.337087451$
3.3.111188.1	$x^{3} - x^{2} - 63 x + 45$	$3$	[3,0]	$2^{2}\cdot 7\cdot 11\cdot 19^{2}$	$4$	$48.0860724167$	$99.1823575052225$				$S_3$ (as 3T2)	$[3]$	$2$	$2$	$38.5846138869$
3.1.112632.1	$x^{3} - x^{2} + 32 x - 392$	$3$	[1,1]	$-\,2^{3}\cdot 3\cdot 13\cdot 19^{2}$	$4$	$48.2933425319$	$125.77076358845758$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$55.7620829684$
3.3.118769.1	$x^{3} - x^{2} - 82 x + 235$	$3$	[3,0]	$7\cdot 19^{2}\cdot 47$	$3$	$49.154999945$	$129.151766175151$				$S_3$ (as 3T2)	$[3]$	$2$	$2$	$28.9343058404$
3.3.125628.1	$x^{3} - x^{2} - 63 x + 159$	$3$	[3,0]	$2^{2}\cdot 3\cdot 19^{2}\cdot 29$	$4$	$50.083593498$	$132.82873070743958$				$S_3$ (as 3T2)	$[3]$	$2$	$2$	$87.0525115295$
3.1.128155.1	$x^{3} - x^{2} - 6 x + 140$	$3$	[1,1]	$-\,5\cdot 19^{2}\cdot 71$	$3$	$50.4171762654$	$134.1580005837502$				$S_3$ (as 3T2)	$[6]$	$2$	$1$	$19.8220664753$
3.1.128516.2	$x^{3} - 19 x - 76$	$3$	[1,1]	$-\,2^{2}\cdot 19^{2}\cdot 89$	$3$	$50.4644719557$	$134.34682263438623$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$18.1603859656$
3.1.131404.1	$x^{3} - 38 x - 114$	$3$	[1,1]	$-\,2^{2}\cdot 7\cdot 13\cdot 19^{2}$	$4$	$50.8396862674$	$107.82259019663186$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$22.2598730294$
3.1.135736.1	$x^{3} - x^{2} + 13 x - 145$	$3$	[1,1]	$-\,2^{3}\cdot 19^{2}\cdot 47$	$3$	$51.3923348499$	$138.0690456926156$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$61.5458324298$
3.1.138263.1	$x^{3} - x^{2} + 32 x - 31$	$3$	[1,1]	$-\,19^{2}\cdot 383$	$2$	$51.7092999942$	$139.3483361857959$			✓	$S_3$ (as 3T2)	$[6]$	$2$	$1$	$3.49469396441$
3.1.140068.1	$x^{3} - x^{2} + 32 x + 634$	$3$	[1,1]	$-\,2^{2}\cdot 19^{2}\cdot 97$	$3$	$51.933346553$	$140.25497122875245$				$S_3$ (as 3T2)	$[6]$	$2$	$1$	$19.9201684799$
3.1.142595.1	$x^{3} - x^{2} + 89 x + 140$	$3$	[1,1]	$-\,5\cdot 19^{2}\cdot 79$	$3$	$52.2438009174$	$141.51450234395836$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$30.6425974539$
3.3.146205.1	$x^{3} - 57 x - 76$	$3$	[3,0]	$3^{4}\cdot 5\cdot 19^{2}$	$3$	$52.6810078626$	$68.88887234517178$				$S_3$ (as 3T2)	$[3]$	$2$	$2$	$56.7909397054$
3.3.153425.1	$x^{3} - 95 x - 190$	$3$	[3,0]	$5^{2}\cdot 17\cdot 19^{2}$	$3$	$53.5342896029$	$85.84339087052626$				$S_3$ (as 3T2)	$[3]$	$2$	$2$	$127.727511285$
3.1.154508.3	$x^{3} - x^{2} - 25 x - 373$	$3$	[1,1]	$-\,2^{2}\cdot 19^{2}\cdot 107$	$3$	$53.6599574105$	$116.91788573201529$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$9.87801587867$
3.3.160284.1	$x^{3} - 114 x - 76$	$3$	[3,0]	$2^{2}\cdot 3\cdot 19^{2}\cdot 37$	$4$	$54.3204539544$	$150.03545017301187$				$S_3$ (as 3T2)	$[3]$	$2$	$2$	$79.2659507724$
3.1.161367.1	$x^{3} - x^{2} - 44 x + 273$	$3$	[1,1]	$-\,3\cdot 19^{2}\cdot 149$	$3$	$54.4425228007$	$150.54147336397196$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$23.1451003687$
3.1.162811.1	$x^{3} - 38 x - 551$	$3$	[1,1]	$-\,11\cdot 19^{2}\cdot 41$	$3$	$54.6044346025$	$151.2135368540077$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$36.8039805548$
3.1.165699.2	$x^{3} - 114 x - 475$	$3$	[1,1]	$-\,3^{3}\cdot 17\cdot 19^{2}$	$3$	$54.925408526$	$105.77141763549201$			✓	$S_3$ (as 3T2)	$[6]$	$2$	$1$	$21.5961748723$
3.1.170031.1	$x^{3} + 57 x - 171$	$3$	[1,1]	$-\,3\cdot 19^{2}\cdot 157$	$3$	$55.3999496061$	$154.5300176483931$				$S_3$ (as 3T2)	$[6]$	$2$	$1$	$6.55824608948$
3.1.176168.1	$x^{3} - x^{2} - 6 x + 406$	$3$	[1,1]	$-\,2^{3}\cdot 19^{2}\cdot 61$	$3$	$56.0586121019$	$157.2940561081374$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$45.9153363208$
3.1.185915.1	$x^{3} - x^{2} - 25 x - 88$	$3$	[1,1]	$-\,5\cdot 19^{2}\cdot 103$	$3$	$57.0739780194$	$161.5868501232208$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$27.4051923451$
3.1.186276.2	$x^{3} - x^{2} - 44 x - 126$	$3$	[1,1]	$-\,2^{2}\cdot 3\cdot 19^{2}\cdot 43$	$4$	$57.1108952212$	$161.74365447852955$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$106.803807539$
3.3.192413.1	$x^{3} - 95 x - 114$	$3$	[3,0]	$13\cdot 19^{2}\cdot 41$	$3$	$57.7313177077$	$164.3864455987997$				$S_3$ (as 3T2)	$[6]$	$2$	$2$	$24.0336160609$

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