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Label Polynomial Discriminant Galois group Class group Regulator
6.0.9747.1 $x^{6} - x^{5} + x^{4} - 2 x^{3} + 4 x^{2} - 3 x + 1$ $-\,3^{3}\cdot 19^{2}$ $S_3\times C_3$ (as 6T5) trivial $0.601543105945$
6.0.10051.1 $x^{6} - x^{5} + 2 x^{4} - 2 x^{3} + 2 x^{2} - 2 x + 1$ $-\,19\cdot 23^{2}$ $S_4\times C_2$ (as 6T11) trivial $0.205216461048$
6.0.10571.1 $x^{6} - x^{5} - x^{4} + 2 x^{3} - x + 1$ $-\,11\cdot 31^{2}$ $S_4\times C_2$ (as 6T11) trivial $0.21320935989$
6.0.10816.1 $x^{6} - x^{4} - 2 x^{3} + 2 x + 1$ $-\,2^{6}\cdot 13^{2}$ $S_3\times C_3$ (as 6T5) trivial $0.434147804699$
6.0.11691.1 $x^{6} - x^{5} - x^{2} + x + 1$ $-\,3^{3}\cdot 433$ $C_3^2:D_4$ (as 6T13) trivial $0.691359666578$
6.0.12167.1 $x^{6} - 3 x^{5} + 5 x^{4} - 5 x^{3} + 5 x^{2} - 3 x + 1$ $-\,23^{3}$ $S_3$ (as 6T2) trivial $0.237219601798$
6.0.14283.1 $x^{6} - x^{5} + x^{4} - 2 x^{3} + x^{2} + 1$ $-\,3^{3}\cdot 23^{2}$ $D_{6}$ (as 6T3) trivial $0.803563966653$
6.0.14731.1 $x^{6} - x^{5} + x^{3} - x^{2} + 1$ $-\,14731$ $S_6$ (as 6T16) trivial $0.277754459978$
6.0.16551.1 $x^{6} - x^{5} - x^{4} + 3 x^{3} - 2 x + 1$ $-\,3^{3}\cdot 613$ $C_3^2:D_4$ (as 6T13) trivial $0.932873082902$
6.0.16807.1 $x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1$ $-\,7^{5}$ $C_6$ (as 6T1) trivial $2.10181872849$
6.0.18515.1 $x^{6} + 2 x^{4} - x^{3} + 2 x^{2} + 1$ $-\,5\cdot 7\cdot 23^{2}$ $S_4\times C_2$ (as 6T11) trivial $0.328780614749$
6.0.19683.1 $x^{6} - x^{3} + 1$ $-\,3^{9}$ $C_6$ (as 6T1) trivial $3.39714980258$
6.0.20627.1 $x^{6} - x^{5} + x^{4} - 2 x^{3} + 2 x^{2} - x + 1$ $-\,20627$ $S_6$ (as 6T16) trivial $0.390200557232$
6.0.21168.1 $x^{6} - 3 x^{5} + 4 x^{4} - x^{3} - 2 x^{2} + x + 1$ $-\,2^{4}\cdot 3^{3}\cdot 7^{2}$ $S_3\times C_3$ (as 6T5) trivial $1.11901604193$
6.0.21296.1 $x^{6} - x^{5} + 2 x^{4} - 3 x^{3} + 2 x^{2} - x + 1$ $-\,2^{4}\cdot 11^{3}$ $S_3$ (as 6T2) trivial $0.371341380446$
6.0.22291.1 $x^{6} + x^{4} - x^{3} - x + 1$ $-\,22291$ $S_6$ (as 6T16) trivial $0.373661196485$
6.0.22592.1 $x^{6} - 2 x^{5} + 2 x^{4} - x^{2} + 1$ $-\,2^{6}\cdot 353$ $C_3^2:D_4$ (as 6T13) trivial $0.752120362427$
6.0.22707.1 $x^{6} - x^{5} + 4 x^{4} - 4 x^{3} + 5 x^{2} - 3 x + 1$ $-\,3^{3}\cdot 29^{2}$ $D_{6}$ (as 6T3) trivial $1.25603528677$
6.0.22747.1 $x^{6} - x^{5} - 2 x^{3} + x^{2} + x + 1$ $-\,23^{2}\cdot 43$ $S_4\times C_2$ (as 6T11) trivial $0.388951542699$
6.0.23031.1 $x^{6} + x^{4} - x^{3} + x^{2} - 2 x + 1$ $-\,3^{3}\cdot 853$ $C_3^2:D_4$ (as 6T13) trivial $1.18590232532$
6.0.24003.1 $x^{6} - x^{5} + 3 x^{3} - x^{2} - 2 x + 1$ $-\,3^{3}\cdot 7\cdot 127$ $C_3^2:D_4$ (as 6T13) trivial $1.15781781619$
6.0.25747.1 $x^{6} - x^{5} + 2 x^{4} - 2 x^{3} + 3 x^{2} - x + 1$ $-\,25747$ $S_6$ (as 6T16) trivial $0.457055178835$
6.0.25947.1 $x^{6} - x^{4} - 2 x^{3} + x^{2} + x + 1$ $-\,3^{3}\cdot 31^{2}$ $D_{6}$ (as 6T3) trivial $1.37763890943$
6.0.27556.1 $x^{6} - x^{5} + 2 x^{3} - x + 1$ $-\,2^{2}\cdot 83^{2}$ $S_4\times C_2$ (as 6T11) trivial $0.594769419961$
6.0.27848.1 $x^{6} - x^{5} + 2 x^{4} + 2 x^{2} - x + 1$ $-\,2^{3}\cdot 59^{2}$ $S_4\times C_2$ (as 6T11) trivial $0.599228830431$
6.0.27971.1 $x^{6} - x^{5} + x^{4} - 2 x^{3} + 3 x^{2} - 2 x + 1$ $-\,83\cdot 337$ $S_6$ (as 6T16) trivial $0.436494860807$
6.2.28037.1 $x^{6} - 2 x^{5} + 3 x^{3} - 2 x - 1$ $23^{2}\cdot 53$ $S_4\times C_2$ (as 6T11) trivial $0.478924705547$
6.2.29077.1 $x^{6} - x^{5} + x^{4} - x^{2} + 2 x - 1$ $29077$ $S_6$ (as 6T16) trivial $0.491602105294$
6.0.29095.1 $x^{6} - x^{5} + 3 x^{4} - x^{3} + 3 x^{2} - x + 1$ $-\,5\cdot 11\cdot 23^{2}$ $S_4\times C_2$ (as 6T11) trivial $0.446620658377$
6.2.29189.1 $x^{6} - 2 x^{5} + x^{4} + x^{3} - 2 x^{2} + x + 1$ $17^{2}\cdot 101$ $S_6$ (as 6T16) trivial $0.49291662671$
6.0.29791.1 $x^{6} - 3 x^{5} + 7 x^{4} - 9 x^{3} + 7 x^{2} - 3 x + 1$ $-\,31^{3}$ $S_3$ (as 6T2) trivial $0.438333916947$
6.2.30125.1 $x^{6} - x^{5} + x^{4} - 2 x^{2} + x - 1$ $5^{3}\cdot 241$ $C_3^2:D_4$ (as 6T13) trivial $0.50437245294$
6.0.30808.1 $x^{6} - x^{4} - x^{3} + x^{2} + x + 1$ $-\,2^{3}\cdot 3851$ $S_6$ (as 6T16) trivial $0.643679055537$
6.0.30976.1 $x^{6} - 2 x^{5} + 2 x^{4} - 2 x^{3} + 4 x^{2} - 4 x + 2$ $-\,2^{8}\cdot 11^{2}$ $D_{6}$ (as 6T3) trivial $1.29138778296$
6.2.31133.1 $x^{6} - 2 x^{4} - x^{3} + 2 x + 1$ $163\cdot 191$ $S_6$ (as 6T16) trivial $0.516354684031$
6.0.31211.1 $x^{6} - x^{4} - x^{3} + 2 x^{2} + 3 x + 1$ $-\,23^{2}\cdot 59$ $S_4\times C_2$ (as 6T11) trivial $0.482550424804$
6.2.31213.1 $x^{6} - 2 x^{5} + 2 x^{4} - 3 x^{3} + 2 x^{2} - 2 x + 1$ $7^{4}\cdot 13$ $A_4\times C_2$ (as 6T6) trivial $0.517040346258$
6.0.31223.1 $x^{6} - x^{5} + x^{4} - x^{3} + 2 x^{2} - x + 1$ $-\,31223$ $S_6$ (as 6T16) trivial $0.649982527739$
6.0.31347.1 $x^{6} - 3 x^{4} - 2 x^{3} + 3 x^{2} + 3 x + 1$ $-\,3^{6}\cdot 43$ $C_3^2:D_4$ (as 6T13) trivial $1.57963516749$
6.2.31709.1 $x^{6} - x^{5} + 2 x^{3} - 2 x^{2} + 1$ $37\cdot 857$ $S_6$ (as 6T16) trivial $0.522986177098$
6.0.32171.1 $x^{6} - x^{5} + 2 x^{4} - x^{3} + x^{2} + 1$ $-\,53\cdot 607$ $S_6$ (as 6T16) trivial $0.536093401482$
6.2.32269.1 $x^{6} - 3 x^{5} + 4 x^{4} - 3 x^{3} + x^{2} - 1$ $23^{2}\cdot 61$ $S_4\times C_2$ (as 6T11) trivial $0.529910039105$
6.0.32911.1 $x^{6} - x^{3} - x^{2} + x + 1$ $-\,32911$ $S_6$ (as 6T16) trivial $0.518066133218$
6.0.33791.1 $x^{6} - x^{5} + x^{4} + x^{3} + x + 1$ $-\,33791$ $S_6$ (as 6T16) trivial $0.688322549696$
6.0.33856.1 $x^{6} - x^{4} + 1$ $-\,2^{6}\cdot 23^{2}$ $S_4\times C_2$ (as 6T11) trivial $0.480272990261$
6.0.33856.2 $x^{6} + x^{4} + 2 x^{2} + 1$ $-\,2^{6}\cdot 23^{2}$ $D_{6}$ (as 6T3) trivial $1.02428142886$
6.2.33856.1 $x^{6} + x^{4} - 1$ $2^{6}\cdot 23^{2}$ $S_4$ (as 6T7) trivial $0.550118007418$
6.0.34371.1 $x^{6} - x^{5} - 2 x^{3} + 2 x + 1$ $-\,3^{3}\cdot 19\cdot 67$ $C_3^2:D_4$ (as 6T13) trivial $1.68719062958$
6.0.34992.1 $x^{6} - 3 x^{5} + 5 x^{3} - 3 x + 1$ $-\,2^{4}\cdot 3^{7}$ $S_3$ (as 6T2) trivial $1.81542571879$
6.0.35099.1 $x^{6} + x^{4} + x^{2} - x + 1$ $-\,35099$ $S_6$ (as 6T16) trivial $0.585021824316$
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