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Label Polynomial Discriminant Galois group Class group Regulator
6.0.9747.1 x6x5+x42x3+4x23x+1x^{6} - x^{5} + x^{4} - 2 x^{3} + 4 x^{2} - 3 x + 1 33192-\,3^{3}\cdot 19^{2} S3×C3S_3\times C_3 (as 6T5) trivial 0.6015431059450.601543105945
6.0.10051.1 x6x5+2x42x3+2x22x+1x^{6} - x^{5} + 2 x^{4} - 2 x^{3} + 2 x^{2} - 2 x + 1 19232-\,19\cdot 23^{2} S4×C2S_4\times C_2 (as 6T11) trivial 0.2052164610480.205216461048
6.0.10571.1 x6x5x4+2x3x+1x^{6} - x^{5} - x^{4} + 2 x^{3} - x + 1 11312-\,11\cdot 31^{2} S4×C2S_4\times C_2 (as 6T11) trivial 0.213209359890.21320935989
6.0.10816.1 x6x42x3+2x+1x^{6} - x^{4} - 2 x^{3} + 2 x + 1 26132-\,2^{6}\cdot 13^{2} S3×C3S_3\times C_3 (as 6T5) trivial 0.4341478046990.434147804699
6.0.11691.1 x6x5x2+x+1x^{6} - x^{5} - x^{2} + x + 1 33433-\,3^{3}\cdot 433 C32:D4C_3^2:D_4 (as 6T13) trivial 0.6913596665780.691359666578
6.0.12167.1 x63x5+5x45x3+5x23x+1x^{6} - 3 x^{5} + 5 x^{4} - 5 x^{3} + 5 x^{2} - 3 x + 1 233-\,23^{3} S3S_3 (as 6T2) trivial 0.2372196017980.237219601798
6.0.14283.1 x6x5+x42x3+x2+1x^{6} - x^{5} + x^{4} - 2 x^{3} + x^{2} + 1 33232-\,3^{3}\cdot 23^{2} D6D_{6} (as 6T3) trivial 0.8035639666530.803563966653
6.0.14731.1 x6x5+x3x2+1x^{6} - x^{5} + x^{3} - x^{2} + 1 14731-\,14731 S6S_6 (as 6T16) trivial 0.2777544599780.277754459978
6.0.16551.1 x6x5x4+3x32x+1x^{6} - x^{5} - x^{4} + 3 x^{3} - 2 x + 1 33613-\,3^{3}\cdot 613 C32:D4C_3^2:D_4 (as 6T13) trivial 0.9328730829020.932873082902
6.0.16807.1 x6x5+x4x3+x2x+1x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 75-\,7^{5} C6C_6 (as 6T1) trivial 2.101818728492.10181872849
6.0.18515.1 x6+2x4x3+2x2+1x^{6} + 2 x^{4} - x^{3} + 2 x^{2} + 1 57232-\,5\cdot 7\cdot 23^{2} S4×C2S_4\times C_2 (as 6T11) trivial 0.3287806147490.328780614749
6.0.19683.1 x6x3+1x^{6} - x^{3} + 1 39-\,3^{9} C6C_6 (as 6T1) trivial 3.397149802583.39714980258
6.0.20627.1 x6x5+x42x3+2x2x+1x^{6} - x^{5} + x^{4} - 2 x^{3} + 2 x^{2} - x + 1 20627-\,20627 S6S_6 (as 6T16) trivial 0.3902005572320.390200557232
6.0.21168.1 x63x5+4x4x32x2+x+1x^{6} - 3 x^{5} + 4 x^{4} - x^{3} - 2 x^{2} + x + 1 243372-\,2^{4}\cdot 3^{3}\cdot 7^{2} S3×C3S_3\times C_3 (as 6T5) trivial 1.119016041931.11901604193
6.0.21296.1 x6x5+2x43x3+2x2x+1x^{6} - x^{5} + 2 x^{4} - 3 x^{3} + 2 x^{2} - x + 1 24113-\,2^{4}\cdot 11^{3} S3S_3 (as 6T2) trivial 0.3713413804460.371341380446
6.0.22291.1 x6+x4x3x+1x^{6} + x^{4} - x^{3} - x + 1 22291-\,22291 S6S_6 (as 6T16) trivial 0.3736611964850.373661196485
6.0.22592.1 x62x5+2x4x2+1x^{6} - 2 x^{5} + 2 x^{4} - x^{2} + 1 26353-\,2^{6}\cdot 353 C32:D4C_3^2:D_4 (as 6T13) trivial 0.7521203624270.752120362427
6.0.22707.1 x6x5+4x44x3+5x23x+1x^{6} - x^{5} + 4 x^{4} - 4 x^{3} + 5 x^{2} - 3 x + 1 33292-\,3^{3}\cdot 29^{2} D6D_{6} (as 6T3) trivial 1.256035286771.25603528677
6.0.22747.1 x6x52x3+x2+x+1x^{6} - x^{5} - 2 x^{3} + x^{2} + x + 1 23243-\,23^{2}\cdot 43 S4×C2S_4\times C_2 (as 6T11) trivial 0.3889515426990.388951542699
6.0.23031.1 x6+x4x3+x22x+1x^{6} + x^{4} - x^{3} + x^{2} - 2 x + 1 33853-\,3^{3}\cdot 853 C32:D4C_3^2:D_4 (as 6T13) trivial 1.185902325321.18590232532
6.0.24003.1 x6x5+3x3x22x+1x^{6} - x^{5} + 3 x^{3} - x^{2} - 2 x + 1 337127-\,3^{3}\cdot 7\cdot 127 C32:D4C_3^2:D_4 (as 6T13) trivial 1.157817816191.15781781619
6.0.25747.1 x6x5+2x42x3+3x2x+1x^{6} - x^{5} + 2 x^{4} - 2 x^{3} + 3 x^{2} - x + 1 25747-\,25747 S6S_6 (as 6T16) trivial 0.4570551788350.457055178835
6.0.25947.1 x6x42x3+x2+x+1x^{6} - x^{4} - 2 x^{3} + x^{2} + x + 1 33312-\,3^{3}\cdot 31^{2} D6D_{6} (as 6T3) trivial 1.377638909431.37763890943
6.0.27556.1 x6x5+2x3x+1x^{6} - x^{5} + 2 x^{3} - x + 1 22832-\,2^{2}\cdot 83^{2} S4×C2S_4\times C_2 (as 6T11) trivial 0.5947694199610.594769419961
6.0.27848.1 x6x5+2x4+2x2x+1x^{6} - x^{5} + 2 x^{4} + 2 x^{2} - x + 1 23592-\,2^{3}\cdot 59^{2} S4×C2S_4\times C_2 (as 6T11) trivial 0.5992288304310.599228830431
6.0.27971.1 x6x5+x42x3+3x22x+1x^{6} - x^{5} + x^{4} - 2 x^{3} + 3 x^{2} - 2 x + 1 83337-\,83\cdot 337 S6S_6 (as 6T16) trivial 0.4364948608070.436494860807
6.0.29095.1 x6x5+3x4x3+3x2x+1x^{6} - x^{5} + 3 x^{4} - x^{3} + 3 x^{2} - x + 1 511232-\,5\cdot 11\cdot 23^{2} S4×C2S_4\times C_2 (as 6T11) trivial 0.4466206583770.446620658377
6.0.29791.1 x63x5+7x49x3+7x23x+1x^{6} - 3 x^{5} + 7 x^{4} - 9 x^{3} + 7 x^{2} - 3 x + 1 313-\,31^{3} S3S_3 (as 6T2) trivial 0.4383339169470.438333916947
6.0.30808.1 x6x4x3+x2+x+1x^{6} - x^{4} - x^{3} + x^{2} + x + 1 233851-\,2^{3}\cdot 3851 S6S_6 (as 6T16) trivial 0.6436790555370.643679055537
6.0.30976.1 x62x5+2x42x3+4x24x+2x^{6} - 2 x^{5} + 2 x^{4} - 2 x^{3} + 4 x^{2} - 4 x + 2 28112-\,2^{8}\cdot 11^{2} D6D_{6} (as 6T3) trivial 1.291387782961.29138778296
6.0.31211.1 x6x4x3+2x2+3x+1x^{6} - x^{4} - x^{3} + 2 x^{2} + 3 x + 1 23259-\,23^{2}\cdot 59 S4×C2S_4\times C_2 (as 6T11) trivial 0.4825504248040.482550424804
6.0.31223.1 x6x5+x4x3+2x2x+1x^{6} - x^{5} + x^{4} - x^{3} + 2 x^{2} - x + 1 31223-\,31223 S6S_6 (as 6T16) trivial 0.6499825277390.649982527739
6.0.31347.1 x63x42x3+3x2+3x+1x^{6} - 3 x^{4} - 2 x^{3} + 3 x^{2} + 3 x + 1 3643-\,3^{6}\cdot 43 C32:D4C_3^2:D_4 (as 6T13) trivial 1.579635167491.57963516749
6.0.32171.1 x6x5+2x4x3+x2+1x^{6} - x^{5} + 2 x^{4} - x^{3} + x^{2} + 1 53607-\,53\cdot 607 S6S_6 (as 6T16) trivial 0.5360934014820.536093401482
6.0.32911.1 x6x3x2+x+1x^{6} - x^{3} - x^{2} + x + 1 32911-\,32911 S6S_6 (as 6T16) trivial 0.5180661332180.518066133218
6.0.33791.1 x6x5+x4+x3+x+1x^{6} - x^{5} + x^{4} + x^{3} + x + 1 33791-\,33791 S6S_6 (as 6T16) trivial 0.6883225496960.688322549696
6.0.33856.1 x6x4+1x^{6} - x^{4} + 1 26232-\,2^{6}\cdot 23^{2} S4×C2S_4\times C_2 (as 6T11) trivial 0.4802729902610.480272990261
6.0.33856.2 x6+x4+2x2+1x^{6} + x^{4} + 2 x^{2} + 1 26232-\,2^{6}\cdot 23^{2} D6D_{6} (as 6T3) trivial 1.024281428861.02428142886
6.0.34371.1 x6x52x3+2x+1x^{6} - x^{5} - 2 x^{3} + 2 x + 1 331967-\,3^{3}\cdot 19\cdot 67 C32:D4C_3^2:D_4 (as 6T13) trivial 1.687190629581.68719062958
6.0.34992.1 x63x5+5x33x+1x^{6} - 3 x^{5} + 5 x^{3} - 3 x + 1 2437-\,2^{4}\cdot 3^{7} S3S_3 (as 6T2) trivial 1.815425718791.81542571879
6.0.35099.1 x6+x4+x2x+1x^{6} + x^{4} + x^{2} - x + 1 35099-\,35099 S6S_6 (as 6T16) trivial 0.5850218243160.585021824316
6.0.36107.1 x62x5+x4x2+x+1x^{6} - 2 x^{5} + x^{4} - x^{2} + x + 1 36107-\,36107 S6S_6 (as 6T16) trivial 0.5973089006650.597308900665
6.0.36235.1 x6x5+x2x+1x^{6} - x^{5} + x^{2} - x + 1 57247-\,5\cdot 7247 S6S_6 (as 6T16) trivial 0.5393327571090.539332757109
6.0.36963.1 x63x5+4x42x32x2+2x+1x^{6} - 3 x^{5} + 4 x^{4} - 2 x^{3} - 2 x^{2} + 2 x + 1 33372-\,3^{3}\cdot 37^{2} S3×C3S_3\times C_3 (as 6T5) trivial 1.530911510461.53091151046
6.0.37423.1 x6x5+x4+1x^{6} - x^{5} + x^{4} + 1 37423-\,37423 S6S_6 (as 6T16) trivial 0.7441878231030.744187823103
6.0.37463.1 x6x4x3+2x2+2x+1x^{6} - x^{4} - x^{3} + 2 x^{2} + 2 x + 1 37463-\,37463 S6S_6 (as 6T16) trivial 0.739225924060.73922592406
6.0.37479.1 x6x5+3x43x3+3x2x+1x^{6} - x^{5} + 3 x^{4} - 3 x^{3} + 3 x^{2} - x + 1 313312-\,3\cdot 13\cdot 31^{2} S4×C2S_4\times C_2 (as 6T11) trivial 0.5943864361280.594386436128
6.0.40203.1 x6x53x4+4x3+3x24x+1x^{6} - x^{5} - 3 x^{4} + 4 x^{3} + 3 x^{2} - 4 x + 1 331489-\,3^{3}\cdot 1489 C32:D4C_3^2:D_4 (as 6T13) trivial 1.872095970521.87209597052
6.0.40543.1 x62x5+3x43x3+4x22x+1x^{6} - 2 x^{5} + 3 x^{4} - 3 x^{3} + 4 x^{2} - 2 x + 1 40543-\,40543 S6S_6 (as 6T16) trivial 0.7861882267350.786188226735
6.0.41472.1 x62x5+3x42x3+2x2+1x^{6} - 2 x^{5} + 3 x^{4} - 2 x^{3} + 2 x^{2} + 1 2934-\,2^{9}\cdot 3^{4} S3×C3S_3\times C_3 (as 6T5) trivial 0.6323812814650.632381281465
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