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Results (displaying matches 1-50 of at least 1000) Next
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 3.1.1628681175.7 | x3 + 8415x - 134640 | \( -\,3^{4}\cdot 5^{2}\cdot 11^{2}\cdot 17^{2}\cdot 23 \) | $S_3$ (as 3T2) | $[3, 6, 60]$ |
| 3.1.1727568027.1 | x3 - 7999 | \( -\,3^{3}\cdot 19^{2}\cdot 421^{2} \) | $S_3$ (as 3T2) | $[3, 390]$ |
| 3.1.2103730083.1 | x3 - 8827 | \( -\,3^{3}\cdot 7^{2}\cdot 13^{2}\cdot 97^{2} \) | $S_3$ (as 3T2) | $[3, 3, 6, 24]$ |
| 3.1.2150268120.4 | x3 - 4563x - 260598 | \( -\,2^{3}\cdot 3^{5}\cdot 5\cdot 7\cdot 11\cdot 13^{2}\cdot 17 \) | $S_3$ (as 3T2) | $[3, 396]$ |
| 3.1.2235182040.11 | x3 - 1197x - 209874 | \( -\,2^{3}\cdot 3^{5}\cdot 5\cdot 7^{2}\cdot 13\cdot 19^{2} \) | $S_3$ (as 3T2) | $[3, 3, 183]$ |
| 3.1.2336904300.1 | x3 - 27910 | \( -\,2^{2}\cdot 3\cdot 5^{2}\cdot 2791^{2} \) | $S_3$ (as 3T2) | $[3, 648]$ |
| 3.1.2372430060.4 | x3 + 2772x - 2772 | \( -\,2^{2}\cdot 3^{4}\cdot 5\cdot 7^{2}\cdot 11^{2}\cdot 13\cdot 19 \) | $S_3$ (as 3T2) | $[3, 3, 138]$ |
| 3.1.3061832427.1 | x3 - 10649 | \( -\,3^{3}\cdot 23^{2}\cdot 463^{2} \) | $S_3$ (as 3T2) | $[3, 438]$ |
| 3.1.3066512904.3 | x3 - 7203x - 278614 | \( -\,2^{3}\cdot 3^{4}\cdot 7^{2}\cdot 13\cdot 17\cdot 19\cdot 23 \) | $S_3$ (as 3T2) | $[3, 360]$ |
| 3.1.3221422083.1 | x3 - 32769 | \( -\,3^{5}\cdot 11^{2}\cdot 331^{2} \) | $S_3$ (as 3T2) | $[3, 390]$ |
| 3.1.3942158220.8 | x3 - 8580x - 521950 | \( -\,2^{2}\cdot 3^{4}\cdot 5\cdot 7\cdot 11^{2}\cdot 13^{2}\cdot 17 \) | $S_3$ (as 3T2) | $[3, 3, 150]$ |
| 3.1.3996312012.1 | x3 - 12166 | \( -\,2^{2}\cdot 3^{3}\cdot 7^{2}\cdot 11^{2}\cdot 79^{2} \) | $S_3$ (as 3T2) | $[3, 3, 3, 42]$ |
| 3.1.4014728172.1 | x3 - 24388 | \( -\,2^{2}\cdot 3^{3}\cdot 7^{2}\cdot 13^{2}\cdot 67^{2} \) | $S_3$ (as 3T2) | $[3, 3, 3, 48]$ |
| 3.1.4028568075.1 | x3 - 427525 | \( -\,3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 349^{2} \) | $S_3$ (as 3T2) | $[3, 3, 126]$ |
| 3.1.4595066476.1 | x3 + 14212x - 14212 | \( -\,2^{2}\cdot 7\cdot 11^{2}\cdot 13\cdot 17^{2}\cdot 19^{2} \) | $S_3$ (as 3T2) | $[3, 3, 246]$ |
| 3.1.4634177427.1 | x3 - 39303 | \( -\,3^{5}\cdot 11^{2}\cdot 397^{2} \) | $S_3$ (as 3T2) | $[3, 522]$ |
| 3.1.4640546700.4 | x3 - 1494540 | \( -\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 19^{2}\cdot 23^{2} \) | $S_3$ (as 3T2) | $[3, 3, 114]$ |
| 3.1.4948490988.1 | x3 - 13538 | \( -\,2^{2}\cdot 3^{3}\cdot 7^{2}\cdot 967^{2} \) | $S_3$ (as 3T2) | $[3, 3, 114]$ |
| 3.1.5538231468.1 | x3 - 300762 | \( -\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 11^{2}\cdot 31^{2} \) | $S_3$ (as 3T2) | $[3, 3, 3, 48]$ |
| 3.1.5707328067.1 | x3 - 974113 | \( -\,3^{3}\cdot 7^{2}\cdot 31^{2}\cdot 67^{2} \) | $S_3$ (as 3T2) | $[3, 3, 138]$ |
| 3.1.5805096363.1 | x3 - 630509 | \( -\,3^{3}\cdot 11^{2}\cdot 31^{2}\cdot 43^{2} \) | $S_3$ (as 3T2) | $[6, 168]$ |
| 3.1.5812895340.2 | x3 + 3312x - 138 | \( -\,2^{2}\cdot 3^{5}\cdot 5\cdot 7\cdot 17\cdot 19\cdot 23^{2} \) | $S_3$ (as 3T2) | $[3, 426]$ |
| 3.1.6003123867.1 | x3 - 14911 | \( -\,3^{3}\cdot 13^{2}\cdot 31^{2}\cdot 37^{2} \) | $S_3$ (as 3T2) | $[3, 3, 3, 60]$ |
| 3.1.6053149683.1 | x3 - 314433 | \( -\,3^{5}\cdot 7^{2}\cdot 23^{2}\cdot 31^{2} \) | $S_3$ (as 3T2) | $[3, 3, 168]$ |
| 3.1.6527827827.3 | x3 - 46647 | \( -\,3^{5}\cdot 71^{2}\cdot 73^{2} \) | $S_3$ (as 3T2) | $[3, 408]$ |
| 3.1.6932174700.6 | x3 - x2 - 16023x - 783363 | \( -\,2^{2}\cdot 3\cdot 5^{2}\cdot 11^{2}\cdot 19^{2}\cdot 23^{2} \) | $S_3$ (as 3T2) | $[3, 3, 132]$ |
| 3.1.7392826584.3 | x3 - 741x - 116090 | \( -\,2^{3}\cdot 3^{4}\cdot 11\cdot 13^{2}\cdot 17\cdot 19^{2} \) | $S_3$ (as 3T2) | $[3, 6, 66]$ |
| 3.1.7753997160.7 | x3 - 9282x - 507416 | \( -\,2^{3}\cdot 3^{4}\cdot 5\cdot 7^{2}\cdot 13^{2}\cdot 17^{2} \) | $S_3$ (as 3T2) | $[3, 3, 3, 72]$ |
| 3.1.8071490700.6 | x3 - 2247700 | \( -\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 19^{2} \) | $S_3$ (as 3T2) | $[3, 3, 3, 54]$ |
| 3.1.8304136200.2 | x3 + 23805x - 848010 | \( -\,2^{3}\cdot 3^{5}\cdot 5^{2}\cdot 17\cdot 19\cdot 23^{2} \) | $S_3$ (as 3T2) | $[3, 513]$ |
| 3.1.8328392163.1 | x3 - 17563 | \( -\,3^{3}\cdot 7^{2}\cdot 13^{2}\cdot 193^{2} \) | $S_3$ (as 3T2) | $[3, 3, 3, 42]$ |
| 3.1.8335049580.5 | x3 + 5928x - 2964 | \( -\,2^{2}\cdot 3^{3}\cdot 5\cdot 11\cdot 13^{2}\cdot 19^{2}\cdot 23 \) | $S_3$ (as 3T2) | $[3, 3, 207]$ |
| 3.1.8614378188.1 | x3 - 107172 | \( -\,2^{2}\cdot 3^{5}\cdot 13^{2}\cdot 229^{2} \) | $S_3$ (as 3T2) | $[3, 6, 78]$ |
| 3.1.9033138387.1 | x3 - 54873 | \( -\,3^{5}\cdot 7^{2}\cdot 13^{2}\cdot 67^{2} \) | $S_3$ (as 3T2) | $[3, 3, 3, 99]$ |
| 3.1.9288423144.4 | x3 - 9177x - 350854 | \( -\,2^{3}\cdot 3^{3}\cdot 7^{2}\cdot 11\cdot 13\cdot 17\cdot 19^{2} \) | $S_3$ (as 3T2) | $[3, 3, 342]$ |
| 3.1.9487125675.1 | x3 - 18745 | \( -\,3^{3}\cdot 5^{2}\cdot 23^{2}\cdot 163^{2} \) | $S_3$ (as 3T2) | $[3, 3, 282]$ |
| 3.1.9761369292.1 | x3 - 114084 | \( -\,2^{2}\cdot 3^{5}\cdot 3169^{2} \) | $S_3$ (as 3T2) | $[6, 252]$ |
| 3.1.10409397075.8 | x3 - 215985 | \( -\,3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 17^{2} \) | $S_3$ (as 3T2) | $[3, 3, 114]$ |
| 3.1.11067367608.1 | x3 + 6270x - 1240624 | \( -\,2^{3}\cdot 3^{4}\cdot 11^{2}\cdot 17\cdot 19^{2}\cdot 23 \) | $S_3$ (as 3T2) | $[3, 3, 468]$ |
| 3.1.11661895620.8 | x3 - 2907x - 102714 | \( -\,2^{2}\cdot 3^{5}\cdot 5\cdot 17^{2}\cdot 19^{2}\cdot 23 \) | $S_3$ (as 3T2) | $[3, 732]$ |
| 3.1.11827752300.5 | x3 - 272090 | \( -\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 23^{2} \) | $S_3$ (as 3T2) | $[3, 3, 6, 24]$ |
| 3.1.12012695523.2 | x3 - 1666347 | \( -\,3^{5}\cdot 79^{2}\cdot 89^{2} \) | $S_3$ (as 3T2) | $[3, 420]$ |
| 3.1.12287616003.1 | x3 - 63999 | \( -\,3^{5}\cdot 13^{2}\cdot 547^{2} \) | $S_3$ (as 3T2) | $[3, 1032]$ |
| 3.1.12428559675.1 | x3 - 107275 | \( -\,3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 613^{2} \) | $S_3$ (as 3T2) | $[3, 3, 114]$ |
| 3.1.13002741675.7 | x3 - 21945 | \( -\,3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 19^{2} \) | $S_3$ (as 3T2) | $[3, 6, 72]$ |
| 3.1.13554979620.3 | x3 - x2 + 18937x + 2245047 | \( -\,2^{2}\cdot 3\cdot 5\cdot 7\cdot 13^{2}\cdot 19^{2}\cdot 23^{2} \) | $S_3$ (as 3T2) | $[3, 3, 114]$ |
| 3.1.13611013416.3 | x3 - 9177x - 418922 | \( -\,2^{3}\cdot 3^{3}\cdot 7^{2}\cdot 11\cdot 13\cdot 17\cdot 23^{2} \) | $S_3$ (as 3T2) | $[3, 465]$ |
| 3.1.13802726700.12 | x3 - 859180 | \( -\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 17^{2}\cdot 19^{2} \) | $S_3$ (as 3T2) | $[3, 3, 3, 42]$ |
| 3.1.13863069220.1 | x3 - 30107x - 2047276 | \( -\,2^{2}\cdot 5\cdot 7^{2}\cdot 11^{2}\cdot 13\cdot 17\cdot 23^{2} \) | $S_3$ (as 3T2) | $[3, 378]$ |
| 3.1.13895674092.1 | x3 - 45372 | \( -\,2^{2}\cdot 3^{5}\cdot 19^{2}\cdot 199^{2} \) | $S_3$ (as 3T2) | $[3, 9, 54]$ |
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