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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
3.1.676.1	$x^{3} - x^{2} - 4 x + 12$	$3$	[1,1]	$-\,2^{2}\cdot 13^{2}$	$2$	$8.77638295533$	$11.057549627357744$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$2.18608135926$
3.1.9295.1	$x^{3} - x^{2} - 30 x + 77$	$3$	[1,1]	$-\,5\cdot 11\cdot 13^{2}$	$3$	$21.0256677827$	$41.00249140869786$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$5.20999355896$
3.3.13689.2	$x^{3} - 39 x - 91$	$3$	[3,0]	$3^{4}\cdot 13^{2}$	$2$	$23.9216192981$	$23.921619298064325$		✓	✓	$C_3$ (as 3T1)	$[3]$	$2$	$2$	$5.61392117258$
3.1.14703.2	$x^{3} - x^{2} + 22 x + 51$	$3$	[1,1]	$-\,3\cdot 13^{2}\cdot 29$	$3$	$24.498264489$	$51.56897838635333$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$6.44083969241$
3.1.16055.1	$x^{3} - 13 x - 52$	$3$	[1,1]	$-\,5\cdot 13^{2}\cdot 19$	$3$	$25.2272611678$	$53.887831087687466$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$20.8030606582$
3.1.18252.1	$x^{3} - 52$	$3$	[1,1]	$-\,2^{2}\cdot 3^{3}\cdot 13^{2}$	$3$	$26.329148866$	$31.619647871494593$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$6.44093891352$
3.3.18252.1	$x^{3} - 39 x - 78$	$3$	[3,0]	$2^{2}\cdot 3^{3}\cdot 13^{2}$	$3$	$26.329148866$	$39.838259943559656$				$S_3$ (as 3T2)	$[3]$	$2$	$2$	$20.5394886609$
3.1.21463.1	$x^{3} - x^{2} - 4 x - 27$	$3$	[1,1]	$-\,13^{2}\cdot 127$	$2$	$27.7905286646$	$62.30612786417537$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$5.43855164609$
3.1.22139.1	$x^{3} - x^{2} - 4 x + 116$	$3$	[1,1]	$-\,13^{2}\cdot 131$	$2$	$28.0792821033$	$63.27972007830352$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$7.48995029976$
3.1.23660.2	$x^{3} - x^{2} + 9 x + 25$	$3$	[1,1]	$-\,2^{2}\cdot 5\cdot 7\cdot 13^{2}$	$4$	$28.7081306105$	$51.92178177076271$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$8.83826052532$
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)	$[3, 3]$	$2$	$1$	$5.49260395186$
3.3.27885.1	$x^{3} - x^{2} - 30 x + 12$	$3$	[3,0]	$3\cdot 5\cdot 11\cdot 13^{2}$	$4$	$30.324260325$	$71.01839835677107$				$S_3$ (as 3T2)	$[3]$	$2$	$2$	$26.8344674616$
3.1.28392.1	$x^{3} - x^{2} + 48 x + 12$	$3$	[1,1]	$-\,2^{3}\cdot 3\cdot 7\cdot 13^{2}$	$4$	$30.5069409985$	$71.66111189468201$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$28.1442700166$
3.1.29068.1	$x^{3} - x^{2} - 43 x + 129$	$3$	[1,1]	$-\,2^{2}\cdot 13^{2}\cdot 43$	$3$	$30.7471630229$	$57.550591695302664$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$10.6233495492$
3.1.30251.1	$x^{3} - x^{2} + 9 x - 170$	$3$	[1,1]	$-\,13^{2}\cdot 179$	$2$	$31.1587417613$	$73.96996565043275$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$13.4337024042$
3.1.34476.1	$x^{3} - x^{2} - 17 x - 105$	$3$	[1,1]	$-\,2^{2}\cdot 3\cdot 13^{2}\cdot 17$	$4$	$32.546599818$	$62.675910736966344$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$21.1041488329$
3.1.35659.1	$x^{3} - x^{2} - 17 x - 40$	$3$	[1,1]	$-\,13^{2}\cdot 211$	$2$	$32.9146862737$	$80.31009306692427$			✓	$S_3$ (as 3T2)	$[6]$	$2$	$1$	$10.4170893049$
3.1.35828.3	$x^{3} + 26 x - 52$	$3$	[1,1]	$-\,2^{2}\cdot 13^{2}\cdot 53$	$3$	$32.9666022687$	$80.50017639333723$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$13.6571676053$
3.3.35828.1	$x^{3} - x^{2} - 43 x + 25$	$3$	[3,0]	$2^{2}\cdot 13^{2}\cdot 53$	$3$	$32.9666022687$	$63.89303234520457$				$S_3$ (as 3T2)	$[3]$	$2$	$2$	$17.6107909115$
3.1.41067.1	$x^{3} - 117$	$3$	[1,1]	$-\,3^{5}\cdot 13^{2}$	$2$	$34.5009451537$	$41.433460023567555$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$12.8645817881$
3.1.42419.1	$x^{3} - x^{2} - 30 x - 92$	$3$	[1,1]	$-\,13^{2}\cdot 251$	$2$	$34.8754758567$	$87.59226613139332$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$7.22915016065$
3.1.47827.1	$x^{3} - x^{2} + 9 x + 38$	$3$	[1,1]	$-\,13^{2}\cdot 283$	$2$	$36.2986979273$	$93.00838841805972$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$14.1626499842$
3.1.50700.1	$x^{3} - 260$	$3$	[1,1]	$-\,2^{2}\cdot 3\cdot 5^{2}\cdot 13^{2}$	$4$	$37.0114403386$	$44.448406466929114$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$23.3867938816$
3.1.52052.1	$x^{3} - x^{2} - 43 x + 155$	$3$	[1,1]	$-\,2^{2}\cdot 7\cdot 11\cdot 13^{2}$	$4$	$37.3375491271$	$97.02960419188524$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$21.7543454493$
3.1.58643.1	$x^{3} - x^{2} + 22 x - 92$	$3$	[1,1]	$-\,13^{2}\cdot 347$	$2$	$38.8512854956$	$102.98966344399975$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$15.1206455676$
3.1.59995.1	$x^{3} - x^{2} + 9 x - 144$	$3$	[1,1]	$-\,5\cdot 13^{2}\cdot 71$	$3$	$39.1475889182$	$104.17009927916598$				$S_3$ (as 3T2)	$[15]$	$2$	$1$	$4.30150111531$
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)	$[3]$	$2$	$2$	$7.55764880123$
3.1.63544.1	$x^{3} - x^{2} - 56 x + 272$	$3$	[1,1]	$-\,2^{3}\cdot 13^{2}\cdot 47$	$3$	$39.9047734776$	$107.20692120184714$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$22.1288135483$
3.3.64389.1	$x^{3} - x^{2} - 69 x - 144$	$3$	[3,0]	$3\cdot 13^{2}\cdot 127$	$3$	$40.0808780251$	$107.91737908363469$				$S_3$ (as 3T2)	$[3]$	$2$	$2$	$33.2194056748$
3.3.66417.1	$x^{3} - x^{2} - 30 x + 51$	$3$	[3,0]	$3\cdot 13^{2}\cdot 131$	$3$	$40.497332548$	$109.60369026435812$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$2$	$24.297205261$
3.1.67431.1	$x^{3} + 39 x - 117$	$3$	[1,1]	$-\,3\cdot 7\cdot 13^{2}\cdot 19$	$4$	$40.7023858289$	$110.4371904079761$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$12.4071505146$
3.1.68276.1	$x^{3} - x^{2} + 61 x - 261$	$3$	[1,1]	$-\,2^{2}\cdot 13^{2}\cdot 101$	$3$	$40.8716988671$	$111.12699842931698$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$66.0079853379$
3.1.70811.2	$x^{3} - x^{2} - 17 x + 64$	$3$	[1,1]	$-\,13^{2}\cdot 419$	$2$	$41.3714023761$	$113.17119794371254$			✓	$S_3$ (as 3T2)	$[6]$	$2$	$1$	$4.21603262355$
3.1.70980.1	$x^{3} - x^{2} + 9 x - 105$	$3$	[1,1]	$-\,2^{2}\cdot 3\cdot 5\cdot 7\cdot 13^{2}$	$5$	$41.4042890373$	$113.3061666236897$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$51.1956451834$
3.1.72332.1	$x^{3} - 52 x - 390$	$3$	[1,1]	$-\,2^{2}\cdot 13^{2}\cdot 107$	$3$	$41.6655217463$	$90.78361119887941$				$S_3$ (as 3T2)	$[15]$	$2$	$1$	$6.03770570783$
3.3.73177.1	$x^{3} - x^{2} - 56 x - 27$	$3$	[3,0]	$13^{2}\cdot 433$	$2$	$41.8271429212$	$115.0463513423183$				$S_3$ (as 3T2)	$[3]$	$2$	$2$	$26.4823545828$
3.1.77571.1	$x^{3} + 39 x - 52$	$3$	[1,1]	$-\,3^{3}\cdot 13^{2}\cdot 17$	$3$	$42.6481106919$	$82.12867684405477$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$15.8275619165$
3.1.78923.1	$x^{3} + 65 x - 78$	$3$	[1,1]	$-\,13^{2}\cdot 467$	$2$	$42.8944590334$	$119.4778343005627$				$S_3$ (as 3T2)	$[6]$	$2$	$1$	$18.7338448368$
3.1.79599.1	$x^{3} - x^{2} - 4 x - 53$	$3$	[1,1]	$-\,3\cdot 13^{2}\cdot 157$	$3$	$43.0165791486$	$119.9884256622871$			✓	$S_3$ (as 3T2)	$[6]$	$2$	$1$	$5.25295815604$
3.3.79768.1	$x^{3} - x^{2} - 43 x - 1$	$3$	[3,0]	$2^{3}\cdot 13^{2}\cdot 59$	$3$	$43.0470010676$	$120.11573437253992$				$S_3$ (as 3T2)	$[3]$	$2$	$2$	$32.5511823084$
3.1.88387.1	$x^{3} + 52 x - 247$	$3$	[1,1]	$-\,13^{2}\cdot 523$	$2$	$44.5447095151$	$126.43861966113609$			✓	$S_3$ (as 3T2)	$[6]$	$2$	$1$	$11.444154004$
3.3.90584.1	$x^{3} - x^{2} - 30 x + 38$	$3$	[3,0]	$2^{3}\cdot 13^{2}\cdot 67$	$3$	$44.9107696846$	$128.0003910308021$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$2$	$45.2892054805$
3.1.93795.1	$x^{3} - x^{2} + 35 x - 170$	$3$	[1,1]	$-\,3\cdot 5\cdot 13^{2}\cdot 37$	$4$	$45.4352821405$	$130.24929854669185$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$39.232827243$
3.1.93964.2	$x^{3} - 26 x - 78$	$3$	[1,1]	$-\,2^{2}\cdot 13^{2}\cdot 139$	$3$	$45.4625542252$	$103.47202902825593$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$9.81928976949$
3.3.95992.1	$x^{3} - x^{2} - 56 x - 92$	$3$	[3,0]	$2^{3}\cdot 13^{2}\cdot 71$	$3$	$45.7872977621$	$131.7659111232115$				$S_3$ (as 3T2)	$[3]$	$2$	$2$	$37.1486799056$
3.1.97175.1	$x^{3} - x^{2} + 22 x - 53$	$3$	[1,1]	$-\,5^{2}\cdot 13^{2}\cdot 23$	$3$	$45.9746236847$	$77.53054242742431$			✓	$S_3$ (as 3T2)	$[3]$	$2$	$1$	$7.06727042445$
3.1.98696.1	$x^{3} - x^{2} + 48 x + 324$	$3$	[1,1]	$-\,2^{3}\cdot 13^{2}\cdot 73$	$3$	$46.2132505735$	$133.60888050266715$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$52.8561238401$
3.1.101231.1	$x^{3} - 13 x - 429$	$3$	[1,1]	$-\,13^{2}\cdot 599$	$2$	$46.6055719789$	$135.31386925692996$				$S_3$ (as 3T2)	$[6]$	$2$	$1$	$8.13972776953$
3.1.103935.1	$x^{3} - x^{2} - 30 x + 207$	$3$	[1,1]	$-\,3\cdot 5\cdot 13^{2}\cdot 41$	$4$	$47.0168944848$	$137.10915661737351$				$S_3$ (as 3T2)	$[3]$	$2$	$1$	$16.8849789095$
3.1.112723.1	$x^{3} - x^{2} + 22 x + 116$	$3$	[1,1]	$-\,13^{2}\cdot 23\cdot 29$	$3$	$48.3063450864$	$142.788035483463$				$S_3$ (as 3T2)	$[6]$	$2$	$1$	$13.0993813047$

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