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Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)

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Label Polynomial Discriminant Galois group Class group Regulator
3.1.386855.1 $x^{3} - x^{2} + 54 x - 720$ $-\,5\cdot 7^{2}\cdot 1579$ $S_3$ (as 3T2) $[108]$ $8.05673543657$
3.1.456231.1 $x^{3} - x^{2} + 46 x + 216$ $-\,3\cdot 152077$ $S_3$ (as 3T2) $[109]$ $5.88314390313$
3.1.499359.1 $x^{3} - x^{2} + 194 x - 944$ $-\,3\cdot 7^{2}\cdot 43\cdot 79$ $S_3$ (as 3T2) $[123]$ $6.89063499237$
3.1.529444.1 $x^{3} - x^{2} + 81 x - 1$ $-\,2^{2}\cdot 132361$ $S_3$ (as 3T2) $[104]$ $4.39429858684$
3.1.606279.1 $x^{3} + 171 x - 260$ $-\,3\cdot 61\cdot 3313$ $S_3$ (as 3T2) $[145]$ $6.56669023552$
3.1.703364.1 $x^{3} - x^{2} + 8 x + 1450$ $-\,2^{2}\cdot 101\cdot 1741$ $S_3$ (as 3T2) $[118]$ $6.30080936705$
3.1.714932.1 $x^{3} - x^{2} - 116 x + 1128$ $-\,2^{2}\cdot 19\cdot 23\cdot 409$ $S_3$ (as 3T2) $[103]$ $5.96354631663$
3.1.719911.1 $x^{3} - x^{2} + 168 x - 1060$ $-\,719911$ $S_3$ (as 3T2) $[104]$ $6.89868296824$
3.1.814575.2 $x^{3} - 135 x - 2170$ $-\,3\cdot 5^{2}\cdot 10861$ $S_3$ (as 3T2) $[129]$ $7.9312972854$
3.1.885871.1 $x^{3} + 91 x - 140$ $-\,7^{2}\cdot 101\cdot 179$ $S_3$ (as 3T2) $[162]$ $5.96876644083$
3.1.893252.1 $x^{3} - x^{2} + 96 x + 378$ $-\,2^{2}\cdot 223313$ $S_3$ (as 3T2) $[103]$ $7.43664469668$
3.1.930719.3 $x^{3} - x^{2} + 158 x + 760$ $-\,930719$ $S_3$ (as 3T2) $[144]$ $10.4472933954$
3.1.960456.2 $x^{3} - x^{2} - 99 x - 1161$ $-\,2^{3}\cdot 3\cdot 7\cdot 5717$ $S_3$ (as 3T2) $[129]$ $6.13320507525$
3.1.968228.2 $x^{3} - x^{2} + 137 x - 1001$ $-\,2^{2}\cdot 242057$ $S_3$ (as 3T2) $[156]$ $5.45072524659$
3.1.969359.3 $x^{3} - x^{2} + 78 x + 1080$ $-\,969359$ $S_3$ (as 3T2) $[102]$ $14.3876481902$
3.1.978715.1 $x^{3} - x^{2} + 59 x + 60$ $-\,5\cdot 195743$ $S_3$ (as 3T2) $[104]$ $4.15790891685$
3.1.983528.1 $x^{3} - x^{2} + 201 x - 405$ $-\,2^{3}\cdot 7^{2}\cdot 13\cdot 193$ $S_3$ (as 3T2) $[141]$ $5.34221987565$
3.1.999431.1 $x^{3} - 253 x - 1596$ $-\,999431$ $S_3$ (as 3T2) $[134]$ $9.97315366344$
3.1.1011800.3 $x^{3} - x^{2} - 128 x + 1332$ $-\,2^{3}\cdot 5^{2}\cdot 5059$ $S_3$ (as 3T2) $[129]$ $6.85955654309$
3.1.1020183.3 $x^{3} - x^{2} + 54 x + 1920$ $-\,3\cdot 340061$ $S_3$ (as 3T2) $[105]$ $10.6173925613$
3.1.1027304.1 $x^{3} - x^{2} + 40 x - 2352$ $-\,2^{3}\cdot 128413$ $S_3$ (as 3T2) $[126]$ $6.27863053364$
3.1.1071415.2 $x^{3} - x^{2} - 116 x - 2400$ $-\,5\cdot 214283$ $S_3$ (as 3T2) $[111]$ $7.95120231772$
3.1.1105151.1 $x^{3} - x^{2} + 270 x + 1000$ $-\,109\cdot 10139$ $S_3$ (as 3T2) $[122]$ $7.13487624881$
3.1.1112388.1 $x^{3} - x^{2} - 63 x + 471$ $-\,2^{2}\cdot 3\cdot 92699$ $S_3$ (as 3T2) $[104]$ $5.54954516212$
3.1.1126488.1 $x^{3} + 54 x - 1216$ $-\,2^{3}\cdot 3\cdot 11\cdot 17\cdot 251$ $S_3$ (as 3T2) $[101]$ $5.6940381277$
3.1.1150788.2 $x^{3} + 198 x - 620$ $-\,2^{2}\cdot 3\cdot 41\cdot 2339$ $S_3$ (as 3T2) $[102]$ $5.41592266485$
3.1.1151623.1 $x^{3} - x^{2} + 14 x + 408$ $-\,11\cdot 104693$ $S_3$ (as 3T2) $[136]$ $6.42173065557$
3.1.1172303.3 $x^{3} + 95 x - 216$ $-\,11\cdot 17\cdot 6269$ $S_3$ (as 3T2) $[177]$ $8.27562852562$
3.1.1176531.1 $x^{3} - x^{2} + 179 x - 554$ $-\,3\cdot 392177$ $S_3$ (as 3T2) $[122]$ $5.29811743162$
3.1.1209732.1 $x^{3} - x^{2} + 41 x - 425$ $-\,2^{2}\cdot 3\cdot 100811$ $S_3$ (as 3T2) $[101]$ $4.91907433425$
3.1.1215679.2 $x^{3} + 229 x - 1050$ $-\,1215679$ $S_3$ (as 3T2) $[150]$ $8.41869546049$
3.1.1258712.1 $x^{3} - 91 x - 546$ $-\,2^{3}\cdot 7^{2}\cdot 13^{2}\cdot 19$ $S_3$ (as 3T2) $[3, 36]$ $7.47818343488$
3.1.1268703.2 $x^{3} + 135 x - 1152$ $-\,3^{5}\cdot 23\cdot 227$ $S_3$ (as 3T2) $[126]$ $6.95364863269$
3.1.1281812.1 $x^{3} - x^{2} + 44 x + 1288$ $-\,2^{2}\cdot 7\cdot 45779$ $S_3$ (as 3T2) $[131]$ $6.92071340601$
3.1.1284847.1 $x^{3} - x^{2} + 106 x - 160$ $-\,1284847$ $S_3$ (as 3T2) $[123]$ $6.08446310098$
3.1.1291576.1 $x^{3} - x^{2} + 109 x - 1$ $-\,2^{3}\cdot 11\cdot 13\cdot 1129$ $S_3$ (as 3T2) $[121]$ $4.69126447604$
3.1.1293080.3 $x^{3} - x^{2} + 360 x - 180$ $-\,2^{3}\cdot 5\cdot 32327$ $S_3$ (as 3T2) $[111]$ $7.27170419015$
3.1.1306691.3 $x^{3} - x^{2} + 119 x + 394$ $-\,1306691$ $S_3$ (as 3T2) $[102]$ $5.02431334986$
3.1.1309544.3 $x^{3} + 14 x - 440$ $-\,2^{3}\cdot 17\cdot 9629$ $S_3$ (as 3T2) $[105]$ $5.08059346515$
3.1.1310196.3 $x^{3} - x^{2} + 29 x + 427$ $-\,2^{2}\cdot 3\cdot 41\cdot 2663$ $S_3$ (as 3T2) $[135]$ $5.00480132797$
3.1.1326299.2 $x^{3} + 269 x - 510$ $-\,13\cdot 102023$ $S_3$ (as 3T2) $[102]$ $8.74097541306$
3.1.1350419.2 $x^{3} + 323 x - 96$ $-\,7\cdot 192917$ $S_3$ (as 3T2) $[126]$ $7.08678267432$
3.1.1360680.1 $x^{3} - x^{2} + 105 x - 213$ $-\,2^{3}\cdot 3\cdot 5\cdot 17\cdot 23\cdot 29$ $S_3$ (as 3T2) $[127]$ $4.72699670931$
3.1.1362671.3 $x^{3} - x^{2} + 78 x + 1296$ $-\,47\cdot 79\cdot 367$ $S_3$ (as 3T2) $[120]$ $10.6612749967$
3.1.1362820.1 $x^{3} - x^{2} - 15 x + 455$ $-\,2^{2}\cdot 5\cdot 68141$ $S_3$ (as 3T2) $[125]$ $5.26201849273$
3.1.1402260.1 $x^{3} - x^{2} + 85 x + 315$ $-\,2^{2}\cdot 3\cdot 5\cdot 23371$ $S_3$ (as 3T2) $[106]$ $8.02387430652$
3.1.1429428.1 $x^{3} - 126 x - 1484$ $-\,2^{2}\cdot 3\cdot 7^{2}\cdot 11\cdot 13\cdot 17$ $S_3$ (as 3T2) $[114]$ $6.30794911135$
3.1.1438964.1 $x^{3} - x^{2} + 149 x + 1147$ $-\,2^{2}\cdot 163\cdot 2207$ $S_3$ (as 3T2) $[119]$ $5.59497389995$
3.1.1450471.1 $x^{3} - x^{2} + 230 x - 1968$ $-\,11\cdot 131861$ $S_3$ (as 3T2) $[2, 72]$ $8.44740808803$
3.1.1466135.1 $x^{3} + 83 x - 364$ $-\,5\cdot 11\cdot 19\cdot 23\cdot 61$ $S_3$ (as 3T2) $[120]$ $7.60241255193$
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