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 |
---|---|---|---|---|
2.0.53482797368.1 | $x^{2} + 13370699342$ | $-\,2^{3}\cdot 7\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 4, 392]$ |
2.0.114605994360.1 | $x^{2} + 28651498590$ | $-\,2^{3}\cdot 3\cdot 5\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 2, 2, 446]$ |
2.0.160448392104.1 | $x^{2} + 40112098026$ | $-\,2^{3}\cdot 3\cdot 7\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 2, 2, 562]$ |
2.0.267413986840.1 | $x^{2} + 66853496710$ | $-\,2^{3}\cdot 5\cdot 7\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 2, 2, 498]$ |
2.0.401120980260.1 | $x^{2} + 100280245065$ | $-\,2^{2}\cdot 3\cdot 5\cdot 7\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 2, 2, 2, 378]$ |
2.0.802241960520.1 | $x^{2} + 200560490130$ | $-\,2^{3}\cdot 3\cdot 5\cdot 7\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 29\cdot 31$ | $C_2$ (as 2T1) | $[2, 2, 2, 2, 2, 2, 2, 2, 2, 516]$ |
3.1.14626924832520.6 | $x^{3} + 45942 x - 15742792$ | $-\,2^{3}\cdot 3^{4}\cdot 5\cdot 7\cdot 11\cdot 13^{2}\cdot 19^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 6441]$ |
3.1.33137169037700.6 | $x^{3} - x^{2} + 772417 x + 145334487$ | $-\,2^{2}\cdot 5^{2}\cdot 7\cdot 13^{2}\cdot 19\cdot 23^{2}\cdot 29\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 15804]$ |
3.1.33362051422700.8 | $x^{3} - x^{2} + 268147 x - 68362503$ | $-\,2^{2}\cdot 5^{2}\cdot 7^{2}\cdot 11\cdot 13^{2}\cdot 17^{2}\cdot 19\cdot 23\cdot 29$ | $S_3$ (as 3T2) | $[3, 3, 3, 4257]$ |
3.1.63889190194115.9 | $x^{3} - x^{2} + 1667945 x - 463318$ | $-\,5\cdot 11^{2}\cdot 13\cdot 19\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 12, 3540]$ |
3.1.81607293612075.5 | $x^{3} - 599793425$ | $-\,3\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 19^{2}\cdot 23^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3741]$ |
3.1.83485420718700.1 | $x^{3} - 2331669340$ | $-\,2^{2}\cdot 3\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 6, 882]$ |
3.1.148897681264332.64 | $x^{3} - 98630532$ | $-\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 23^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 6, 618]$ |
3.1.153091777034700.36 | $x^{3} - 328604220$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7^{2}\cdot 17^{2}\cdot 23^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 1338]$ |
3.1.156064363524300.8 | $x^{3} - 1045825550$ | $-\,2^{2}\cdot 3\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 17^{2}\cdot 19^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 1662]$ |
3.1.172388756954700.60 | $x^{3} - 15160860$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 11^{2}\cdot 13^{2}\cdot 19^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 1257]$ |
3.1.187842196617075.18 | $x^{3} - 81766685$ | $-\,3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 1872]$ |
3.1.221070104412300.18 | $x^{3} - 1711135140$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 11^{2}\cdot 13^{2}\cdot 23^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 1866]$ |
3.1.221581111588200.6 | $x^{3} - 2856945 x - 1858772370$ | $-\,2^{3}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 17\cdot 19\cdot 23^{2}\cdot 29$ | $S_3$ (as 3T2) | $[3, 3, 6, 2304]$ |
3.1.295690667444172.19 | $x^{3} - 1806881076$ | $-\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 19^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 1326]$ |
3.1.308494392426675.6 | $x^{3} - 2247829675$ | $-\,3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 1284]$ |
3.1.316560555429300.3 | $x^{3} + 2418165 x - 4252879290$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 7\cdot 13\cdot 17^{2}\cdot 19\cdot 29^{2}\cdot 31$ | $S_3$ (as 3T2) | $[3, 6, 7716]$ |
3.1.333608158118700.19 | $x^{3} - 59756530$ | $-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 17^{2}\cdot 23^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 2160]$ |
3.1.342689363179020.16 | $x^{3} + 91698 x - 30566$ | $-\,2^{2}\cdot 3^{3}\cdot 5\cdot 11\cdot 13\cdot 17^{2}\cdot 19\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 13815]$ |
3.1.411738436032300.1 | $x^{3} - 7568025660$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 570]$ |
3.1.411738436032300.15 | $x^{3} - 2893656870$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 2061]$ |
3.1.411738436032300.31 | $x^{3} - 964552290$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 6, 828]$ |
3.1.431984880132300.22 | $x^{3} - 2023964580$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 11^{2}\cdot 17^{2}\cdot 23^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 6, 1548]$ |
3.1.433297404648108.1 | $x^{3} - 8016010002$ | $-\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 23^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 6, 6, 576]$ |
3.1.433297404648108.63 | $x^{3} - 8012004$ | $-\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 23^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 1473]$ |
3.1.447465878391675.4 | $x^{3} - 1893001825$ | $-\,3\cdot 5^{2}\cdot 11^{2}\cdot 13^{2}\cdot 19^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 1440]$ |
3.1.472226672738700.61 | $x^{3} - 20910450$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 11^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 1941]$ |
3.1.487139093983080.2 | $x^{3} + 1386693 x - 7577198706$ | $-\,2^{3}\cdot 3^{5}\cdot 5\cdot 7^{2}\cdot 11^{2}\cdot 19\cdot 23^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 11736]$ |
3.1.490441935786075.1 | $x^{3} - 8033841725$ | $-\,3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 6, 1044]$ |
3.1.495123431470668.14 | $x^{3} - 3451516068$ | $-\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 23^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 24, 216]$ |
3.1.515837672995788.13 | $x^{3} - 817365406$ | $-\,2^{2}\cdot 3^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 1611]$ |
3.1.516648048216300.41 | $x^{3} - 9142433300$ | $-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 19^{2}\cdot 23^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 873]$ |
3.1.528010414670700.52 | $x^{3} - 132666300$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 13^{2}\cdot 17^{2}\cdot 23^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 1818]$ |
3.1.657545420832300.10 | $x^{3} - 4490786300$ | $-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 6, 222]$ |
3.1.706236387531948.1 | $x^{3} - 11563617702$ | $-\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 13^{2}\cdot 17^{2}\cdot 19^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3216]$ |
3.1.718680842190675.4 | $x^{3} - 7713071275$ | $-\,3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 17^{2}\cdot 23^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 1266]$ |
3.1.751368786468300.27 | $x^{3} - 685785100$ | $-\,2^{2}\cdot 3^{3}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}\cdot 17^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3, 558]$ |
3.1.820922737600680.4 | $x^{3} - x^{2} - 255480 x + 4224125892$ | $-\,2^{3}\cdot 3\cdot 5\cdot 11\cdot 13^{2}\cdot 17\cdot 19^{2}\cdot 23\cdot 29^{2}\cdot 31$ | $S_3$ (as 3T2) | $[3, 3, 16614]$ |
3.1.821653822006479.8 | $x^{3} - 5148297 x - 6759713961$ | $-\,3^{4}\cdot 7^{2}\cdot 11^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 31$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3009]$ |
3.1.846690365059308.38 | $x^{3} - 901584222$ | $-\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 11^{2}\cdot 17^{2}\cdot 23^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 6, 1212]$ |
3.1.959202284496300.20 | $x^{3} - 3951725310$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 13^{2}\cdot 17^{2}\cdot 29^{2}\cdot 31^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 3480]$ |
3.1.1034900412754572.22 | $x^{3} - 3702274212$ | $-\,2^{2}\cdot 3^{5}\cdot 7^{2}\cdot 13^{2}\cdot 17^{2}\cdot 23^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 6, 1008]$ |
3.1.1127880234888300.62 | $x^{3} - 12926460$ | $-\,2^{2}\cdot 3^{5}\cdot 5^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[3, 3, 3, 3, 1497]$ |
3.1.1139756613910200.8 | $x^{3} - 232050 x - 199607200$ | $-\,2^{3}\cdot 3^{3}\cdot 5^{2}\cdot 11\cdot 13^{2}\cdot 17^{2}\cdot 19\cdot 23\cdot 29\cdot 31$ | $S_3$ (as 3T2) | $[3, 3, 52320]$ |
3.1.1364735084214843.11 | $x^{3} - 3988459233$ | $-\,3^{5}\cdot 11^{2}\cdot 17^{2}\cdot 19^{2}\cdot 23^{2}\cdot 29^{2}$ | $S_3$ (as 3T2) | $[6, 6, 6, 642]$ |