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Label Polynomial Discriminant Galois group Class group
3.1.386855.1 x3 - x2 + 54x - 720 \( -\,5\cdot 7^{2}\cdot 1579 \) $S_3$ (as 3T2) $[108]$
3.1.456231.1 x3 - x2 + 46x + 216 \( -\,3\cdot 152077 \) $S_3$ (as 3T2) $[109]$
3.1.499359.1 x3 - x2 + 194x - 944 \( -\,3\cdot 7^{2}\cdot 43\cdot 79 \) $S_3$ (as 3T2) $[123]$
3.1.529444.1 x3 - x2 + 81x - 1 \( -\,2^{2}\cdot 132361 \) $S_3$ (as 3T2) $[104]$
3.1.606279.1 x3 + 171x - 260 \( -\,3\cdot 61\cdot 3313 \) $S_3$ (as 3T2) $[145]$
3.1.703364.1 x3 - x2 + 8x + 1450 \( -\,2^{2}\cdot 101\cdot 1741 \) $S_3$ (as 3T2) $[118]$
3.1.714932.1 x3 - x2 - 116x + 1128 \( -\,2^{2}\cdot 19\cdot 23\cdot 409 \) $S_3$ (as 3T2) $[103]$
3.1.719911.1 x3 - x2 + 168x - 1060 \( -\,719911 \) $S_3$ (as 3T2) $[104]$
3.1.814575.2 x3 - 135x - 2170 \( -\,3\cdot 5^{2}\cdot 10861 \) $S_3$ (as 3T2) $[129]$
3.1.885871.1 x3 + 91x - 140 \( -\,7^{2}\cdot 101\cdot 179 \) $S_3$ (as 3T2) $[162]$
3.1.893252.1 x3 - x2 + 96x + 378 \( -\,2^{2}\cdot 223313 \) $S_3$ (as 3T2) $[103]$
3.1.930719.3 x3 - x2 + 158x + 760 \( -\,930719 \) $S_3$ (as 3T2) $[144]$
3.1.960456.2 x3 - x2 - 99x - 1161 \( -\,2^{3}\cdot 3\cdot 7\cdot 5717 \) $S_3$ (as 3T2) $[129]$
3.1.968228.2 x3 - x2 + 137x - 1001 \( -\,2^{2}\cdot 242057 \) $S_3$ (as 3T2) $[156]$
3.1.969359.3 x3 - x2 + 78x + 1080 \( -\,969359 \) $S_3$ (as 3T2) $[102]$
3.1.978715.1 x3 - x2 + 59x + 60 \( -\,5\cdot 195743 \) $S_3$ (as 3T2) $[104]$
3.1.983528.1 x3 - x2 + 201x - 405 \( -\,2^{3}\cdot 7^{2}\cdot 13\cdot 193 \) $S_3$ (as 3T2) $[141]$
3.1.999431.1 x3 - 253x - 1596 \( -\,999431 \) $S_3$ (as 3T2) $[134]$
3.1.1011800.3 x3 - x2 - 128x + 1332 \( -\,2^{3}\cdot 5^{2}\cdot 5059 \) $S_3$ (as 3T2) $[129]$
3.1.1020183.3 x3 - x2 + 54x + 1920 \( -\,3\cdot 340061 \) $S_3$ (as 3T2) $[105]$
3.1.1027304.1 x3 - x2 + 40x - 2352 \( -\,2^{3}\cdot 128413 \) $S_3$ (as 3T2) $[126]$
3.1.1071415.2 x3 - x2 - 116x - 2400 \( -\,5\cdot 214283 \) $S_3$ (as 3T2) $[111]$
3.1.1105151.1 x3 - x2 + 270x + 1000 \( -\,109\cdot 10139 \) $S_3$ (as 3T2) $[122]$
3.1.1112388.1 x3 - x2 - 63x + 471 \( -\,2^{2}\cdot 3\cdot 92699 \) $S_3$ (as 3T2) $[104]$
3.1.1126488.1 x3 + 54x - 1216 \( -\,2^{3}\cdot 3\cdot 11\cdot 17\cdot 251 \) $S_3$ (as 3T2) $[101]$
3.1.1150788.2 x3 + 198x - 620 \( -\,2^{2}\cdot 3\cdot 41\cdot 2339 \) $S_3$ (as 3T2) $[102]$
3.1.1151623.1 x3 - x2 + 14x + 408 \( -\,11\cdot 104693 \) $S_3$ (as 3T2) $[136]$
3.1.1172303.3 x3 + 95x - 216 \( -\,11\cdot 17\cdot 6269 \) $S_3$ (as 3T2) $[177]$
3.1.1176531.1 x3 - x2 + 179x - 554 \( -\,3\cdot 392177 \) $S_3$ (as 3T2) $[122]$
3.1.1209732.1 x3 - x2 + 41x - 425 \( -\,2^{2}\cdot 3\cdot 100811 \) $S_3$ (as 3T2) $[101]$
3.1.1215679.2 x3 + 229x - 1050 \( -\,1215679 \) $S_3$ (as 3T2) $[150]$
3.1.1258712.1 x3 - 91x - 546 \( -\,2^{3}\cdot 7^{2}\cdot 13^{2}\cdot 19 \) $S_3$ (as 3T2) $[3, 36]$
3.1.1268703.2 x3 + 135x - 1152 \( -\,3^{5}\cdot 23\cdot 227 \) $S_3$ (as 3T2) $[126]$
3.1.1281812.1 x3 - x2 + 44x + 1288 \( -\,2^{2}\cdot 7\cdot 45779 \) $S_3$ (as 3T2) $[131]$
3.1.1284847.1 x3 - x2 + 106x - 160 \( -\,1284847 \) $S_3$ (as 3T2) $[123]$
3.1.1291576.1 x3 - x2 + 109x - 1 \( -\,2^{3}\cdot 11\cdot 13\cdot 1129 \) $S_3$ (as 3T2) $[121]$
3.1.1293080.3 x3 - x2 + 360x - 180 \( -\,2^{3}\cdot 5\cdot 32327 \) $S_3$ (as 3T2) $[111]$
3.1.1306691.3 x3 - x2 + 119x + 394 \( -\,1306691 \) $S_3$ (as 3T2) $[102]$
3.1.1309544.3 x3 + 14x - 440 \( -\,2^{3}\cdot 17\cdot 9629 \) $S_3$ (as 3T2) $[105]$
3.1.1310196.3 x3 - x2 + 29x + 427 \( -\,2^{2}\cdot 3\cdot 41\cdot 2663 \) $S_3$ (as 3T2) $[135]$
3.1.1326299.2 x3 + 269x - 510 \( -\,13\cdot 102023 \) $S_3$ (as 3T2) $[102]$
3.1.1350419.2 x3 + 323x - 96 \( -\,7\cdot 192917 \) $S_3$ (as 3T2) $[126]$
3.1.1360680.1 x3 - x2 + 105x - 213 \( -\,2^{3}\cdot 3\cdot 5\cdot 17\cdot 23\cdot 29 \) $S_3$ (as 3T2) $[127]$
3.1.1362671.3 x3 - x2 + 78x + 1296 \( -\,47\cdot 79\cdot 367 \) $S_3$ (as 3T2) $[120]$
3.1.1362820.1 x3 - x2 - 15x + 455 \( -\,2^{2}\cdot 5\cdot 68141 \) $S_3$ (as 3T2) $[125]$
3.1.1402260.1 x3 - x2 + 85x + 315 \( -\,2^{2}\cdot 3\cdot 5\cdot 23371 \) $S_3$ (as 3T2) $[106]$
3.1.1429428.1 x3 - 126x - 1484 \( -\,2^{2}\cdot 3\cdot 7^{2}\cdot 11\cdot 13\cdot 17 \) $S_3$ (as 3T2) $[114]$
3.1.1438964.1 x3 - x2 + 149x + 1147 \( -\,2^{2}\cdot 163\cdot 2207 \) $S_3$ (as 3T2) $[119]$
3.1.1450471.1 x3 - x2 + 230x - 1968 \( -\,11\cdot 131861 \) $S_3$ (as 3T2) $[2, 72]$
3.1.1466135.1 x3 + 83x - 364 \( -\,5\cdot 11\cdot 19\cdot 23\cdot 61 \) $S_3$ (as 3T2) $[120]$
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