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Label Polynomial Discriminant Galois group Class group Regulator
6.2.242000.2 $x^{6} - 2 x^{5} + 2 x^{4} - 4 x^{3} + 2 x^{2} - 4 x + 1$ $2^{4}\cdot 5^{3}\cdot 11^{2}$ $S_3^2$ (as 6T9) trivial $2.36794627144$
6.0.309123.2 $x^{6} - 3 x^{5} + x^{4} - 2 x^{3} + 7 x^{2} + 2 x + 1$ $-\,3^{3}\cdot 107^{2}$ $S_3^2$ (as 6T9) trivial $4.78251036365$
6.2.406125.1 $x^{6} - x^{5} + 3 x^{4} + 3 x^{2} + 4 x + 1$ $3^{2}\cdot 5^{3}\cdot 19^{2}$ $S_3^2$ (as 6T9) trivial $2.77416683434$
6.2.739328.4 $x^{6} - 2 x^{5} + 3 x^{4} - 4 x^{3} + x^{2} - 2 x + 1$ $2^{11}\cdot 19^{2}$ $S_3^2$ (as 6T9) trivial $6.38670865949$
6.2.836352.2 $x^{6} - 2 x^{5} + 4 x^{4} - 2 x^{3} + 2 x^{2} - 2$ $2^{8}\cdot 3^{3}\cdot 11^{2}$ $S_3^2$ (as 6T9) trivial $7.93898266213$
6.0.861184.1 $x^{6} - 2 x^{5} - 3 x^{4} + 9 x^{2} + 6 x + 5$ $-\,2^{10}\cdot 29^{2}$ $S_3^2$ (as 6T9) trivial $18.5668112868$
6.2.903168.1 $x^{6} - 2 x^{5} + 3 x^{4} - 3 x^{2} + 2 x + 1$ $2^{11}\cdot 3^{2}\cdot 7^{2}$ $S_3^2$ (as 6T9) trivial $6.82051877032$
6.0.906304.1 $x^{6} - 2 x^{5} + 6 x^{4} - 10 x^{3} + 15 x^{2} - 6 x + 1$ $-\,2^{6}\cdot 7^{2}\cdot 17^{2}$ $S_3^2$ (as 6T9) trivial $6.66923517878$
6.0.1000188.1 $x^{6} - x^{3} + 2$ $-\,2^{2}\cdot 3^{6}\cdot 7^{3}$ $S_3^2$ (as 6T9) trivial $10.0689969862$
6.2.1058000.2 $x^{6} - 2 x^{5} + 5 x^{4} - 6 x^{3} + x^{2} - 4 x + 1$ $2^{4}\cdot 5^{3}\cdot 23^{2}$ $S_3^2$ (as 6T9) trivial $5.22809710773$
6.0.1081600.1 $x^{6} - 2 x^{5} + 6 x^{4} - 2 x^{3} + 4 x^{2} + 4 x + 2$ $-\,2^{8}\cdot 5^{2}\cdot 13^{2}$ $S_3^2$ (as 6T9) trivial $12.6715941121$
6.2.1083392.1 $x^{6} - 2 x^{5} - x^{4} + 4 x^{3} - 8 x + 2$ $2^{11}\cdot 23^{2}$ $S_3^2$ (as 6T9) trivial $12.3920171623$
6.0.1156923.2 $x^{6} - 3 x^{5} + 2 x^{3} + 6 x + 7$ $-\,3^{7}\cdot 23^{2}$ $S_3^2$ (as 6T9) trivial $13.0555448826$
6.0.1166400.3 $x^{6} - 4 x^{3} + 5$ $-\,2^{6}\cdot 3^{6}\cdot 5^{2}$ $S_3^2$ (as 6T9) trivial $15.6256684781$
6.2.1168128.1 $x^{6} - x^{4} - 2 x^{3} + x^{2} - 2 x + 1$ $2^{8}\cdot 3^{3}\cdot 13^{2}$ $S_3^2$ (as 6T9) trivial $9.78267231766$
6.2.1331712.1 $x^{6} - 2 x^{5} + 5 x^{4} - 6 x^{3} + 7 x^{2} - 8 x + 2$ $2^{9}\cdot 3^{2}\cdot 17^{2}$ $S_3^2$ (as 6T9) trivial $9.45534943522$
6.2.1382400.1 $x^{6} - 2 x^{4} - 4 x^{3} - 8 x^{2} - 8 x - 2$ $2^{11}\cdot 3^{3}\cdot 5^{2}$ $S_3^2$ (as 6T9) trivial $9.55707700765$
6.0.1415907.2 $x^{6} - x^{5} + x^{4} - 2 x^{3} - 2 x^{2} + 9 x + 7$ $-\,3^{3}\cdot 229^{2}$ $S_3^2$ (as 6T9) trivial $9.8085042287$
6.2.1453248.5 $x^{6} - 2 x^{5} + 2 x^{4} + 3 x^{2} - 4 x + 1$ $2^{6}\cdot 3^{3}\cdot 29^{2}$ $S_3^2$ (as 6T9) trivial $5.16041924809$
6.2.1458000.1 $x^{6} - 2 x^{3} - 4$ $2^{4}\cdot 3^{6}\cdot 5^{3}$ $S_3^2$ (as 6T9) trivial $6.56419033192$
6.0.1492992.5 $x^{6} - 2 x^{5} + x^{4} + 4 x^{3} + x^{2} - 2 x + 3$ $-\,2^{11}\cdot 3^{6}$ $S_3^2$ (as 6T9) trivial $13.6352060827$
6.2.1492992.5 $x^{6} - 4 x^{3} + 2$ $2^{11}\cdot 3^{6}$ $S_3^2$ (as 6T9) trivial $9.91964275176$
6.0.1494108.1 $x^{6} - 2 x^{5} + 5 x^{4} - 9 x^{3} + 16 x^{2} - 17 x + 8$ $-\,2^{2}\cdot 3^{2}\cdot 7^{3}\cdot 11^{2}$ $S_3^2$ (as 6T9) trivial $13.1800395213$
6.2.1601613.1 $x^{6} - x^{5} + 3 x^{4} - 2 x^{3} + 2 x^{2} + 3 x - 3$ $3^{6}\cdot 13^{3}$ $S_3^2$ (as 6T9) trivial $10.9073168925$
6.0.1617984.1 $x^{6} - 3 x^{4} - 6 x^{3} + 9 x^{2} + 12 x + 4$ $-\,2^{6}\cdot 3^{2}\cdot 53^{2}$ $S_3^2$ (as 6T9) trivial $19.731342365$
6.2.1778112.1 $x^{6} - 2 x^{5} + 2 x^{4} + 2 x^{3} - x^{2} - 2 x - 3$ $2^{6}\cdot 3^{4}\cdot 7^{3}$ $S_3^2$ (as 6T9) trivial $10.1073260945$
6.2.1782272.2 $x^{6} - 2 x^{5} - x^{4} + 2 x^{3} - x^{2} - 4 x - 2$ $2^{9}\cdot 59^{2}$ $S_3^2$ (as 6T9) trivial $12.2796346377$
6.0.1783323.1 $x^{6} - 2 x^{5} + 2 x^{3} + 6 x^{2} + 13 x + 7$ $-\,3^{3}\cdot 257^{2}$ $S_3^2$ (as 6T9) trivial $17.5674074053$
6.0.1849600.1 $x^{6} - 2 x^{5} + 6 x^{4} - 18 x^{3} + 28 x^{2} - 20 x + 10$ $-\,2^{8}\cdot 5^{2}\cdot 17^{2}$ $S_3^2$ (as 6T9) trivial $21.5483081193$
6.0.1878268.1 $x^{6} - x^{5} + 4 x^{4} - 6 x^{3} + 14 x^{2} - 12 x + 8$ $-\,2^{2}\cdot 7^{3}\cdot 37^{2}$ $S_3^2$ (as 6T9) trivial $14.1709428264$
6.2.1922000.2 $x^{6} - x^{5} + 6 x^{4} - 5 x^{3} + 8 x^{2} - 9 x - 1$ $2^{4}\cdot 5^{3}\cdot 31^{2}$ $S_3^2$ (as 6T9) trivial $6.17514424795$
6.0.2101707.1 $x^{6} - 3 x^{4} - 10 x^{3} + 6 x^{2} + 18 x + 7$ $-\,3^{7}\cdot 31^{2}$ $S_3^2$ (as 6T9) trivial $19.4679096417$
6.2.2178000.1 $x^{6} - 3 x^{5} + 4 x^{4} - 3 x^{3} - 9 x + 9$ $2^{4}\cdot 3^{2}\cdot 5^{3}\cdot 11^{2}$ $S_3^2$ (as 6T9) trivial $8.40337650445$
6.2.2278125.2 $x^{6} - 5 x^{3} + 5$ $3^{6}\cdot 5^{5}$ $S_3^2$ (as 6T9) trivial $6.76080862331$
6.2.2365632.1 $x^{6} - x^{4} - 2 x^{3} - 5 x^{2} - 2 x - 2$ $2^{6}\cdot 3^{3}\cdot 37^{2}$ $S_3^2$ (as 6T9) trivial $17.0642072304$
6.2.2377892.1 $x^{6} - x^{5} + 2 x^{4} - 4 x^{3} + x^{2} - 3 x - 4$ $2^{2}\cdot 11^{2}\cdot 17^{3}$ $S_3^2$ (as 6T9) trivial $21.3322576377$
6.2.2415125.3 $x^{6} - x^{5} - x^{4} + 2 x^{3} - 6 x^{2} + 5 x + 11$ $5^{3}\cdot 139^{2}$ $S_3^2$ (as 6T9) trivial $5.53714332355$
6.0.2433600.1 $x^{6} - 2 x^{5} + 4 x^{4} + 4 x^{3} + 8 x^{2} - 6 x + 1$ $-\,2^{6}\cdot 3^{2}\cdot 5^{2}\cdot 13^{2}$ $S_3^2$ (as 6T9) $[3]$ $8.43434802479$
6.2.2450000.1 $x^{6} - x^{5} + 5 x^{3} - 10 x^{2} - x + 11$ $2^{4}\cdot 5^{5}\cdot 7^{2}$ $S_3^2$ (as 6T9) trivial $8.47995581686$
6.2.2508800.2 $x^{6} - 2 x^{4} - 4 x^{3} + 6 x^{2} + 8 x - 8$ $2^{11}\cdot 5^{2}\cdot 7^{2}$ $S_3^2$ (as 6T9) trivial $19.3889971903$
6.0.2592000.1 $x^{6} - 2 x^{5} + 6 x^{4} - 4 x^{3} + 4 x^{2} + 4$ $-\,2^{8}\cdot 3^{4}\cdot 5^{3}$ $S_3^2$ (as 6T9) $[2]$ $7.94454036335$
6.2.2676429.1 $x^{6} - 3 x^{5} + 2 x^{4} - 2 x^{3} - 2 x^{2} - 2 x + 1$ $3^{3}\cdot 7^{3}\cdot 17^{2}$ $S_3^2$ (as 6T9) trivial $10.8799017096$
6.0.2695275.1 $x^{6} - 3 x^{3} + 5$ $-\,3^{4}\cdot 5^{2}\cdot 11^{3}$ $S_3^2$ (as 6T9) trivial $13.6927005705$
6.0.2696112.2 $x^{6} - 3 x^{5} - 5 x^{4} + 10 x^{3} + 13 x^{2} + 5 x + 7$ $-\,2^{4}\cdot 3^{3}\cdot 79^{2}$ $S_3^2$ (as 6T9) trivial $25.0550376032$
6.2.2847312.1 $x^{6} - x^{5} + 2 x^{4} - 7 x^{3} + 2 x^{2} + 5 x + 1$ $2^{4}\cdot 3^{4}\cdot 13^{3}$ $S_3^2$ (as 6T9) trivial $17.7972677375$
6.2.2847312.2 $x^{6} - x^{5} - 3 x^{4} + 4 x^{3} - 2 x^{2} + 4$ $2^{4}\cdot 3^{4}\cdot 13^{3}$ $S_3^2$ (as 6T9) trivial $16.4690464425$
6.2.2888000.2 $x^{6} - x^{5} - 3 x^{4} + 8 x^{3} - 5 x^{2} - 7 x + 11$ $2^{6}\cdot 5^{3}\cdot 19^{2}$ $S_3^2$ (as 6T9) trivial $11.2508342366$
6.0.2958147.3 $x^{6} - x^{5} + 11 x^{4} - 8 x^{3} + 34 x^{2} - 15 x + 21$ $-\,3^{3}\cdot 331^{2}$ $S_3^2$ (as 6T9) trivial $22.0136207743$
6.0.3359232.3 $x^{6} - 2 x^{3} + 3$ $-\,2^{9}\cdot 3^{8}$ $S_3^2$ (as 6T9) trivial $20.0773038392$
6.2.3403125.1 $x^{6} - x^{5} + 5 x^{4} + 9 x - 9$ $3^{2}\cdot 5^{5}\cdot 11^{2}$ $S_3^2$ (as 6T9) trivial $8.45816079277$
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