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Label Polynomial Discriminant Galois group Class group Regulator
6.2.233469.1 x6 - x5 - 2x4 + 4x3 - 2x2 + 1 $3^{3}\cdot 8647$ $S_6$ (as 6T16) trivial $2.26463203654$
6.2.271377.1 x6 - 2x5 + 4x4 - x3 - 8x2 + 3x - 5 $3^{3}\cdot 19\cdot 23^{2}$ $S_4\times C_2$ (as 6T11) trivial $2.39289565707$
6.4.288576.1 x6 - 2x5 - x2 + 2x + 1 $-\,2^{6}\cdot 3^{3}\cdot 167$ $C_3^2:D_4$ (as 6T13) trivial $2.68447846766$
6.2.343305.1 x6 - 2x5 + 3x4 - 4x2 + 5x - 2 $3^{3}\cdot 5\cdot 2543$ $S_6$ (as 6T16) trivial $4.17169537511$
6.4.346167.1 x6 - x5 - 3x4 + 5x2 + x - 2 $-\,3^{3}\cdot 12821$ $S_6$ (as 6T16) trivial $4.52123290938$
6.2.379188.1 x6 - x5 - 4x4 + 3x3 + 6x2 - 2x - 2 $2^{2}\cdot 3^{3}\cdot 3511$ $S_6$ (as 6T16) trivial $4.22073033201$
6.4.382131.1 x6 - 2x5 - 2x4 + 5x3 - 2x2 + 1 $-\,3^{3}\cdot 14153$ $S_6$ (as 6T16) trivial $3.4428940306$
6.2.386964.1 x6 + x4 - x3 - 2x2 - 2x - 2 $2^{2}\cdot 3^{3}\cdot 3583$ $S_6$ (as 6T16) trivial $4.30969957751$
6.2.393525.1 x6 - x5 + 2x4 - 3x2 + x + 1 $3^{3}\cdot 5^{2}\cdot 11\cdot 53$ $S_6$ (as 6T16) trivial $2.888876106$
6.6.453789.1 x6 - x5 - 6x4 + 6x3 + 8x2 - 8x + 1 $3^{3}\cdot 7^{5}$ $C_6$ (as 6T1) trivial $4.39996237517$
6.4.490752.1 x6 - 2x5 - 2x4 + 2x3 + 4x2 - 2 $-\,2^{8}\cdot 3^{3}\cdot 71$ $C_3^2:D_4$ (as 6T13) trivial $5.70407224298$
6.2.495585.1 x6 - x5 + x4 + x3 - 2x2 + 3x - 2 $3^{3}\cdot 5\cdot 3671$ $S_6$ (as 6T16) trivial $4.95553300304$
6.2.497853.1 x6 - 2x5 - x4 + 6x3 - 3x2 - x + 1 $3^{3}\cdot 18439$ $S_6$ (as 6T16) trivial $3.26182239169$
6.2.540216.1 x6 - 2x4 - 5x3 - 2x2 - x + 1 $2^{3}\cdot 3^{3}\cdot 41\cdot 61$ $S_6$ (as 6T16) trivial $7.69578422736$
6.2.595053.1 x6 - 2x5 + 3x3 - 4x2 + 2x + 1 $3^{3}\cdot 22039$ $S_6$ (as 6T16) trivial $3.54419745735$
6.2.608256.1 x6 - 2x5 + 2x4 - 3x2 + 2x - 2 $2^{11}\cdot 3^{3}\cdot 11$ $C_3^2:D_4$ (as 6T13) trivial $8.22878876759$
6.2.614169.1 x6 - x5 + x4 + 7x3 - 17x2 + 15x - 17 $3^{3}\cdot 23^{2}\cdot 43$ $S_4\times C_2$ (as 6T11) trivial $3.21054891879$
6.2.635472.1 x6 - x5 + 4x4 - 2x3 + x2 + 3x - 2 $2^{4}\cdot 3^{3}\cdot 1471$ $S_6$ (as 6T16) trivial $8.39926822961$
6.2.660825.1 x6 - x5 - 3x4 + 3x3 + 5x2 - 5x + 1 $3^{3}\cdot 5^{2}\cdot 11\cdot 89$ $S_6$ (as 6T16) trivial $3.91206027752$
6.2.666576.1 x6 - x5 + 6x3 - 7x2 + 7x - 2 $2^{4}\cdot 3^{3}\cdot 1543$ $S_6$ (as 6T16) trivial $9.21176690147$
6.2.670464.1 x6 - 2x5 + 3x4 - 6x3 + 5x2 - 4x + 1 $2^{8}\cdot 3^{3}\cdot 97$ $C_3^2:D_4$ (as 6T13) trivial $5.43045519871$
6.0.677376.1 x6 - 2x5 + 3x4 - 6x3 + 8x2 - 4x + 1 $-\,2^{9}\cdot 3^{3}\cdot 7^{2}$ $S_3\times C_3$ (as 6T5) $[2]$ $1.82916788897$
6.2.726921.1 x6 - x5 - x4 - 2x + 1 $3^{3}\cdot 13\cdot 19\cdot 109$ $S_6$ (as 6T16) trivial $6.13970935501$
6.2.744012.1 x6 - x5 - 5x4 + x3 + 7x2 + 6x + 1 $2^{2}\cdot 3^{3}\cdot 83^{2}$ $S_4\times C_2$ (as 6T11) trivial $6.70118939444$
6.2.744741.1 x6 - 2x5 + 2x4 - 6x3 + 5x - 2 $3^{3}\cdot 27583$ $S_6$ (as 6T16) trivial $9.33143652618$
6.2.753408.1 x6 + x4 - 2x3 - 2x2 - 4x - 2 $2^{8}\cdot 3^{3}\cdot 109$ $C_3^2:D_4$ (as 6T13) trivial $9.33581833093$
6.0.756999.1 x6 - 2x5 + 10x4 - 16x3 + 31x2 - 30x + 25 $-\,3^{3}\cdot 23^{2}\cdot 53$ $S_4\times C_2$ (as 6T11) $[2]$ $1.67288067672$
6.2.767745.1 x6 - x5 - 3x4 + 6x3 - x2 - 5x + 4 $3^{3}\cdot 5\cdot 11^{2}\cdot 47$ $S_6$ (as 6T16) trivial $6.65825183767$
6.2.785565.1 x6 - x5 - 8x4 + 4x3 + 22x2 - 23 $3^{3}\cdot 5\cdot 11\cdot 23^{2}$ $S_4\times C_2$ (as 6T11) trivial $3.64476717209$
6.2.800064.1 x6 - 2x5 + 6x3 - 7x2 + 2x + 1 $2^{6}\cdot 3^{3}\cdot 463$ $S_6$ (as 6T16) trivial $4.13524507012$
6.2.831168.1 x6 + x4 - 2x3 + 4x2 - 4x + 1 $2^{6}\cdot 3^{3}\cdot 13\cdot 37$ $C_3^2:D_4$ (as 6T13) trivial $3.83553239101$
6.2.836352.1 x6 - 2x5 + 6x4 - 6x3 - 4x2 - 4x - 2 $2^{8}\cdot 3^{3}\cdot 11^{2}$ $D_{6}$ (as 6T3) trivial $6.32636552195$
6.2.836757.1 x6 - x5 - 3x4 + 3x3 - x2 + x - 2 $3^{3}\cdot 17\cdot 1823$ $S_6$ (as 6T16) trivial $9.9358578348$
6.2.842589.1 x6 - x5 - x4 + 6x2 - 5x + 1 $3^{3}\cdot 11\cdot 2837$ $S_6$ (as 6T16) trivial $3.91545608116$
6.2.851904.1 x6 - 2x5 - x4 + 6x2 - 4x + 1 $2^{6}\cdot 3^{3}\cdot 17\cdot 29$ $S_6$ (as 6T16) trivial $3.97011000346$
6.2.863568.1 x6 - x5 + 3x3 - 4x2 + x + 1 $2^{4}\cdot 3^{3}\cdot 1999$ $S_6$ (as 6T16) trivial $5.28267467634$
6.2.907065.1 x6 - 3x5 + 7x4 - 7x3 + 4x2 + x - 2 $3^{3}\cdot 5\cdot 6719$ $S_6$ (as 6T16) trivial $7.5909553922$
6.2.909576.1 x6 - x5 - 3x4 + 3x3 + 5x2 - 2x - 2 $2^{3}\cdot 3^{3}\cdot 4211$ $S_6$ (as 6T16) trivial $6.31951334355$
6.2.914112.1 x6 - 3x4 + 18x2 - 27 $2^{6}\cdot 3^{3}\cdot 23^{2}$ $D_{6}$ (as 6T3) trivial $3.63613377534$
6.2.914112.2 x6 + 3x4 - 27 $2^{6}\cdot 3^{3}\cdot 23^{2}$ $S_4\times C_2$ (as 6T11) trivial $5.26656907915$
6.2.923508.1 x6 - 2x5 + x4 + 5x3 - 8x2 + 6x - 2 $2^{2}\cdot 3^{3}\cdot 17\cdot 503$ $S_6$ (as 6T16) trivial $6.45701635858$
6.2.924480.1 x6 - 2x5 - 4x2 + 2x - 2 $2^{6}\cdot 3^{3}\cdot 5\cdot 107$ $S_6$ (as 6T16) trivial $7.97750584262$
6.2.953721.1 x6 - 2x5 - 3x3 + 5x2 + 2x + 1 $3^{3}\cdot 35323$ $S_6$ (as 6T16) trivial $7.14261448263$
6.4.958527.1 x6 - x5 - 3x4 + 2x2 + 4x + 1 $-\,3^{3}\cdot 131\cdot 271$ $S_6$ (as 6T16) trivial $8.85126834693$
6.2.971136.1 x6 - 2x5 + 2x4 - 6x3 + 6x2 - 4x + 4 $2^{7}\cdot 3^{3}\cdot 281$ $S_6$ (as 6T16) trivial $11.650355317$
6.4.976671.1 x6 - x5 - 2x4 + 4x3 - 5x2 + 4 $-\,3^{3}\cdot 61\cdot 593$ $S_6$ (as 6T16) trivial $6.59359481816$
6.2.1001349.1 x6 - 2x4 - 2x3 - 2x2 - x + 1 $3^{3}\cdot 37087$ $S_6$ (as 6T16) trivial $4.51254334962$
6.0.1011744.1 x6 - x5 - x4 + 3x3 - 2x + 4 $-\,2^{5}\cdot 3^{3}\cdot 1171$ $S_6$ (as 6T16) $[2]$ $7.58178711339$
6.2.1022976.1 x6 - 2x5 + 2x2 - 4x + 4 $2^{10}\cdot 3^{3}\cdot 37$ $C_3^2:D_4$ (as 6T13) trivial $11.349587922$
6.4.1035072.1 x6 - 2x5 - 4x2 + 2x + 1 $-\,2^{6}\cdot 3^{3}\cdot 599$ $C_3^2:D_4$ (as 6T13) trivial $10.1824373198$
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