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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
3.3.49.1	$x^{3} - x^{2} - 2 x + 1$	$3$	[3,0]	$7^{2}$	$1$	$3.65930571002$	$3.6593057100229713$		✓	✓	$C_3$ (as 3T1)	trivial	$2$	$2$	$0.525454682123$
3.1.1323.1	$x^{3} - 7$	$3$	[1,1]	$-\,3^{3}\cdot 7^{2}$	$2$	$10.9779171301$	$13.183786372359444$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$2.44105647039$
3.1.1960.1	$x^{3} - x^{2} + 5 x + 15$	$3$	[1,1]	$-\,2^{3}\cdot 5\cdot 7^{2}$	$3$	$12.5146494914$	$23.143481397064466$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$4.86047323248$
3.1.2695.1	$x^{3} + 7 x - 7$	$3$	[1,1]	$-\,5\cdot 7^{2}\cdot 11$	$3$	$13.9161656546$	$27.138137470492882$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$2.27226928459$
3.1.2891.2	$x^{3} - x^{2} - 9 x + 36$	$3$	[1,1]	$-\,7^{2}\cdot 59$	$2$	$14.2456640137$	$28.107660494694265$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$5.74005132064$
3.1.3332.1	$x^{3} - x^{2} + 12 x - 20$	$3$	[1,1]	$-\,2^{2}\cdot 7^{2}\cdot 17$	$3$	$14.9360238208$	$30.175407917701083$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$4.2872565788$
3.1.3724.2	$x^{3} - x^{2} - 9 x - 13$	$3$	[1,1]	$-\,2^{2}\cdot 7^{2}\cdot 19$	$3$	$15.5001734285$	$25.319909997284967$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$3.44527402863$
3.1.5439.1	$x^{3} - x^{2} - 2 x + 15$	$3$	[1,1]	$-\,3\cdot 7^{2}\cdot 37$	$3$	$17.5862409683$	$38.553177936638974$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$4.61551337389$
3.1.6468.1	$x^{3} - x^{2} + 12 x - 6$	$3$	[1,1]	$-\,2^{2}\cdot 3\cdot 7^{2}\cdot 11$	$4$	$18.631879656$	$42.04222178812256$			✓	$S_3$ (as 3T2)	$[9]$	$2$	$1$	$3.85060960228$
3.1.9555.1	$x^{3} - x^{2} + 5 x - 20$	$3$	[1,1]	$-\,3\cdot 5\cdot 7^{2}\cdot 13$	$4$	$21.2199112802$	$51.09942332829512$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$10.9180478639$
3.3.9653.1	$x^{3} - 14 x - 7$	$3$	[3,0]	$7^{2}\cdot 197$	$2$	$21.2922113661$	$51.36080315808082$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$2$	$10.6557094182$
3.3.9996.1	$x^{3} - x^{2} - 16 x + 22$	$3$	[3,0]	$2^{2}\cdot 3\cdot 7^{2}\cdot 17$	$4$	$21.5414739376$	$52.265339652574454$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$2$	$17.4715160009$
3.1.10584.2	$x^{3} - 21 x - 42$	$3$	[1,1]	$-\,2^{3}\cdot 3^{3}\cdot 7^{2}$	$3$	$21.9558342601$	$37.289378982440624$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$10.4675793273$
3.1.10927.1	$x^{3} - x^{2} - 16 x - 27$	$3$	[1,1]	$-\,7^{2}\cdot 223$	$2$	$22.1904945373$	$54.645087394089686$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$3.95013954372$
3.1.12299.1	$x^{3} + 14 x - 7$	$3$	[1,1]	$-\,7^{2}\cdot 251$	$2$	$23.0828768114$	$57.97430541309734$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$4.07667939217$
3.1.14308.1	$x^{3} - x^{2} - 23 x + 71$	$3$	[1,1]	$-\,2^{2}\cdot 7^{2}\cdot 73$	$3$	$24.2768858997$	$62.53024338339619$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$13.3732823976$
3.1.14651.1	$x^{3} - x^{2} + 5 x - 118$	$3$	[1,1]	$-\,7^{2}\cdot 13\cdot 23$	$3$	$24.4693494259$	$63.27531086879471$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$8.79224642436$
3.1.14700.1	$x^{3} - x^{2} - 23 x + 57$	$3$	[1,1]	$-\,2^{2}\cdot 3\cdot 5^{2}\cdot 7^{2}$	$4$	$24.4965981671$	$29.418870015005623$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$11.0997255193$
3.1.16023.3	$x^{3} - x^{2} - 2 x - 48$	$3$	[1,1]	$-\,3\cdot 7^{2}\cdot 109$	$3$	$25.2104894603$	$66.17174228752027$				$S_3$ (as 3T2)	$[9]$	$2$	$1$	$10.5349457375$
3.1.16268.1	$x^{3} - x^{2} + 33 x - 27$	$3$	[1,1]	$-\,2^{2}\cdot 7^{2}\cdot 83$	$3$	$25.3383338851$	$52.92055660111312$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$14.5561151108$
3.1.17395.1	$x^{3} - x^{2} - 30 x + 92$	$3$	[1,1]	$-\,5\cdot 7^{2}\cdot 71$	$3$	$25.9104413708$	$68.94660244848463$				$S_3$ (as 3T2)	$[9]$	$2$	$1$	$3.87207694911$
3.3.17689.1	$x^{3} - x^{2} - 44 x - 69$	$3$	[3,0]	$7^{2}\cdot 19^{2}$	$2$	$26.0556009339$	$26.05560093389125$		✓		$C_3$ (as 3T1)	$[3]$	$2$	$2$	$10.8673488573$
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)	$[3]$	$2$	$2$	$32.4707206114$
3.3.18228.1	$x^{3} - x^{2} - 23 x - 27$	$3$	[3,0]	$2^{2}\cdot 3\cdot 7^{2}\cdot 31$	$4$	$26.3176035241$	$56.017900959926635$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$2$	$15.454548344$
3.1.18424.1	$x^{3} - 14 x - 56$	$3$	[1,1]	$-\,2^{3}\cdot 7^{2}\cdot 47$	$3$	$26.4115957631$	$70.95657033042767$				$S_3$ (as 3T2)	$[9]$	$2$	$1$	$4.11488521474$
3.1.18767.1	$x^{3} - x^{2} + 26 x + 8$	$3$	[1,1]	$-\,7^{2}\cdot 383$	$2$	$26.5744907801$	$71.61402447155707$				$S_3$ (as 3T2)	$[9]$	$2$	$1$	$6.78791742407$
3.3.21364.1	$x^{3} - x^{2} - 37 x - 55$	$3$	[3,0]	$2^{2}\cdot 7^{2}\cdot 109$	$3$	$27.7477340357$	$60.645503502991886$				$S_3$ (as 3T2)	$[3]$	$2$	$2$	$12.7621087328$
3.1.21511.1	$x^{3} + 7 x - 56$	$3$	[1,1]	$-\,7^{2}\cdot 439$	$2$	$27.811230216$	$76.67096924299021$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$27.0596431446$
3.1.22099.1	$x^{3} - x^{2} + 33 x + 36$	$3$	[1,1]	$-\,7^{2}\cdot 11\cdot 41$	$3$	$28.0623610078$	$77.71179925862245$				$S_3$ (as 3T2)	$[9]$	$2$	$1$	$3.6403628267$
3.1.22540.1	$x^{3} - x^{2} + 19 x - 55$	$3$	[1,1]	$-\,2^{2}\cdot 5\cdot 7^{2}\cdot 23$	$4$	$28.2478004918$	$62.29228720573776$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$11.6168619465$
3.1.23912.1	$x^{3} + 14 x - 56$	$3$	[1,1]	$-\,2^{3}\cdot 7^{2}\cdot 61$	$3$	$28.8096932392$	$80.83670527891697$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$12.0292340368$
3.1.24843.1	$x^{3} - 91$	$3$	[1,1]	$-\,3\cdot 7^{2}\cdot 13^{2}$	$3$	$29.1788393635$	$35.04194650073235$				$S_3$ (as 3T2)	$[3, 3]$	$2$	$1$	$5.49260395186$
3.1.25676.1	$x^{3} - x^{2} + 5 x + 29$	$3$	[1,1]	$-\,2^{2}\cdot 7^{2}\cdot 131$	$3$	$29.5013884245$	$66.48459154193077$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$5.54100206504$
3.1.26999.1	$x^{3} - x^{2} - 2 x + 64$	$3$	[1,1]	$-\,7^{2}\cdot 19\cdot 29$	$3$	$29.9996296251$	$85.89630709147573$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$20.7852739408$
3.1.27244.2	$x^{3} - x^{2} - 9 x + 99$	$3$	[1,1]	$-\,2^{2}\cdot 7^{2}\cdot 139$	$3$	$30.0900995021$	$68.48457378187439$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$15.5678170603$
3.3.27881.1	$x^{3} - x^{2} - 30 x + 8$	$3$	[3,0]	$7^{2}\cdot 569$	$2$	$30.322810288$	$87.28805703521202$				$S_3$ (as 3T2)	$[3]$	$2$	$2$	$41.859540644$
3.1.28763.1	$x^{3} - x^{2} + 5 x - 34$	$3$	[1,1]	$-\,7^{2}\cdot 587$	$2$	$30.6392450736$	$88.65796202266182$			✓	$S_3$ (as 3T2)	$[9]$	$2$	$1$	$3.26978044919$
3.1.28959.1	$x^{3} - x^{2} - 2 x + 99$	$3$	[1,1]	$-\,3\cdot 7^{2}\cdot 197$	$3$	$30.7086826937$	$88.95952058734002$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$7.18992046495$
3.3.29204.1	$x^{3} - x^{2} - 37 x - 69$	$3$	[3,0]	$2^{2}\cdot 7^{2}\cdot 149$	$3$	$30.7950405238$	$70.90526611662585$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$2$	$13.9400366732$
3.1.30772.1	$x^{3} - x^{2} + 5 x - 69$	$3$	[1,1]	$-\,2^{2}\cdot 7^{2}\cdot 157$	$3$	$31.3366024455$	$91.70193825360194$				$S_3$ (as 3T2)	$[18]$	$2$	$1$	$3.81206159375$
3.3.30968.1	$x^{3} - 35 x - 42$	$3$	[3,0]	$2^{3}\cdot 7^{2}\cdot 79$	$3$	$31.4029937508$	$91.99351907925389$				$S_3$ (as 3T2)	$[3]$	$2$	$2$	$29.7049370424$
3.1.31507.3	$x^{3} - x^{2} + 19 x + 8$	$3$	[1,1]	$-\,7^{2}\cdot 643$	$2$	$31.5841372075$	$92.79064205866086$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$14.4181568249$
3.1.32536.1	$x^{3} - x^{2} - 2 x - 34$	$3$	[1,1]	$-\,2^{3}\cdot 7^{2}\cdot 83$	$3$	$31.9243002312$	$94.2937120784099$			✓	$S_3$ (as 3T2)	$[6]$	$2$	$1$	$8.73761043708$
3.1.33908.1	$x^{3} - x^{2} + 5 x + 211$	$3$	[1,1]	$-\,2^{2}\cdot 7^{2}\cdot 173$	$3$	$32.3668715898$	$96.26130400814988$			✓	$S_3$ (as 3T2)	$[6]$	$2$	$1$	$18.1789993869$
3.1.34888.1	$x^{3} - x^{2} + 33 x - 13$	$3$	[1,1]	$-\,2^{3}\cdot 7^{2}\cdot 89$	$3$	$32.6757344441$	$97.64245498213155$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$22.2131803237$
3.1.35623.1	$x^{3} - x^{2} + 12 x + 29$	$3$	[1,1]	$-\,7^{2}\cdot 727$	$2$	$32.9036060632$	$98.66563124578228$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$5.905599368$
3.1.36652.1	$x^{3} - 14 x - 42$	$3$	[1,1]	$-\,2^{2}\cdot 7^{2}\cdot 11\cdot 17$	$4$	$33.2174196097$	$79.43395022036077$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$14.1924451824$
3.3.37093.1	$x^{3} - x^{2} - 37 x + 92$	$3$	[3,0]	$7^{2}\cdot 757$	$2$	$33.3501137733$	$100.68079428327376$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$2$	$15.692458166$
3.1.38024.1	$x^{3} - x^{2} - 16 x + 232$	$3$	[1,1]	$-\,2^{3}\cdot 7^{2}\cdot 97$	$3$	$33.6268304214$	$101.93646150823373$				$S_3$ (as 3T2)	$[9]$	$2$	$1$	$11.4159849359$
3.1.38367.1	$x^{3} + 21 x - 7$	$3$	[1,1]	$-\,3^{3}\cdot 7^{2}\cdot 29$	$3$	$33.7276395097$	$70.99686239720955$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$5.25741412321$

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