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Label Polynomial Discriminant Galois group Class group Regulator
6.0.121328851.1 x6 - 3x5 - x4 - 12x3 + 71x2 + 96x + 163 $-\,7^{2}\cdot 19^{5}$ $S_3\times C_3$ (as 6T5) $[3]$ $25.678740087$
6.0.158470336.1 x6 - 3x5 - x4 - 12x3 + 52x2 + 20x + 68 $-\,2^{6}\cdot 19^{5}$ $D_{6}$ (as 6T3) $[3]$ $33.1099798427$
6.2.255038197.2 x6 - 3x5 - x4 + 7x3 - 5x2 - 18x - 8 $19^{5}\cdot 103$ $S_6$ (as 6T16) $[3]$ $109.257774467$
6.0.398651939.1 x6 - x5 + 2x4 + 8x3 + 18x2 + 14x + 7 $-\,7\cdot 19^{5}\cdot 23$ $C_3^2:D_4$ (as 6T13) $[6]$ $17.441380723$
6.0.633881344.1 x6 - 2x5 + 8x4 - 12x3 + 41x2 - 46x + 68 $-\,2^{8}\cdot 19^{5}$ $S_4\times C_2$ (as 6T11) $[6]$ $17.7437539865$
6.0.775018987.1 x6 - 2x5 + 8x4 - 12x3 + 22x2 - 27x + 11 $-\,19^{5}\cdot 313$ $C_3^2:D_4$ (as 6T13) $[3]$ $27.0762162451$
6.0.814636571.1 x6 - x5 + 2x4 - 11x3 - x2 + 14x + 7 $-\,7\cdot 19^{5}\cdot 47$ $C_3^2:D_4$ (as 6T13) $[3]$ $33.1239091084$
6.0.990439600.1 x6 - x5 + 2x4 - 49x3 + 132x2 - 195x + 425 $-\,2^{4}\cdot 5^{2}\cdot 19^{5}$ $D_{6}$ (as 6T3) $[3, 3]$ $33.5100484823$
6.0.1198431916.1 x6 - 2x5 + 8x4 + 7x3 + 22x2 + 11x + 11 $-\,2^{2}\cdot 11^{2}\cdot 19^{5}$ $S_6$ (as 6T16) $[12]$ $18.1491876721$
6.0.1238049500.1 x6 - 3x5 + 18x4 - 12x3 + 52x2 + 96x + 144 $-\,2^{2}\cdot 5^{3}\cdot 19^{5}$ $S_3^2$ (as 6T9) $[24]$ $43.5806451898$
6.2.1267762688.2 x6 - 38x3 - 38x2 - 76x + 323 $2^{9}\cdot 19^{5}$ $D_{6}$ (as 6T3) $[3]$ $142.50146044$
6.2.1604512152.2 x6 - 3x5 + 18x4 + 7x3 - 24x2 - 18x - 8 $2^{3}\cdot 3^{4}\cdot 19^{5}$ $S_6$ (as 6T16) $[3]$ $563.484847448$
6.0.1941261616.2 x6 - 2x5 - 11x4 + 26x3 + 41x2 - 8x + 125 $-\,2^{4}\cdot 7^{2}\cdot 19^{5}$ $S_3\times C_3$ (as 6T5) $[3, 3]$ $47.6633763961$
6.0.1941261616.4 x6 - 3x5 - 20x4 + 45x3 + 280x2 + 381x + 163 $-\,2^{4}\cdot 7^{2}\cdot 19^{5}$ $S_3\times C_3$ (as 6T5) $[3, 3]$ $14.3254424945$
6.0.2693995712.1 x6 - x5 + 2x4 - 11x3 + 37x2 + 14x + 26 $-\,2^{6}\cdot 17\cdot 19^{5}$ $S_4\times C_2$ (as 6T11) $[6]$ $120.778731975$
6.0.2785611375.2 x6 - 2x5 + 8x4 + 7x3 + 41x2 + 49x + 49 $-\,3^{2}\cdot 5^{3}\cdot 19^{5}$ $C_3^2:D_4$ (as 6T13) $[3]$ $201.155012087$
6.2.2971318800.1 x6 - x5 - 17x4 - 11x3 + 56x2 - 24x - 12 $2^{4}\cdot 3\cdot 5^{2}\cdot 19^{5}$ $S_4\times C_2$ (as 6T11) $[3]$ $347.761220736$
6.4.3961758400.1 x6 - 2x5 - 11x4 - 12x3 + 79x2 - 8x - 65 $-\,2^{6}\cdot 5^{2}\cdot 19^{5}$ $S_4\times C_2$ (as 6T11) $[3]$ $491.373929148$
6.2.4278699072.6 x6 - 3x5 - 20x4 + 26x3 + 109x2 + 229x + 106 $2^{6}\cdot 3^{3}\cdot 19^{5}$ $D_{6}$ (as 6T3) $[3]$ $1264.61896163$
6.0.4578307051.1 x6 - x5 + 21x4 + 8x3 + 37x2 + 128x + 83 $-\,19^{5}\cdot 43^{2}$ $S_3\times C_3$ (as 6T5) $[3]$ $50.3262544452$
6.4.4952198000.1 x6 - 3x5 - x4 + 7x3 - 24x2 + 20x + 68 $-\,2^{4}\cdot 5^{3}\cdot 19^{5}$ $S_4\times C_2$ (as 6T11) $[3]$ $802.340667575$
6.0.4952198000.1 x6 - 3x5 + 37x4 - 69x3 + 394x2 - 360x + 1170 $-\,2^{4}\cdot 5^{3}\cdot 19^{5}$ $D_{6}$ (as 6T3) $[3, 24]$ $33.5100484823$
6.2.5071050752.1 x6 - 38x2 - 76x - 38 $2^{11}\cdot 19^{5}$ $S_3^2$ (as 6T9) $[3]$ $172.468305585$
6.2.5071050752.2 x6 - 19x2 - 38 $2^{11}\cdot 19^{5}$ $S_4\times C_2$ (as 6T11) $[6]$ $302.368128692$
6.0.5945113699.1 x6 - x5 + 2x4 + 122x3 + 474x2 + 888x + 881 $-\,7^{4}\cdot 19^{5}$ $C_6$ (as 6T1) $[3, 3]$ $43.4693954291$
6.0.6440333499.1 x6 - x5 - 17x4 + 8x3 + 113x2 + 33x + 7 $-\,3^{2}\cdot 17^{2}\cdot 19^{5}$ $D_{6}$ (as 6T3) $[3]$ $179.112758889$
6.0.7220304684.1 x6 - 3x5 + 18x4 - 31x3 + 90x2 - 18x + 11 $-\,2^{2}\cdot 3^{6}\cdot 19^{5}$ $S_6$ (as 6T16) $[6]$ $115.586430031$
6.2.7487723376.1 x6 - x5 + 2x4 + 8x3 - 172x2 + 128x - 848 $2^{4}\cdot 3^{3}\cdot 7\cdot 19^{5}$ $C_3^2:D_4$ (as 6T13) $[3]$ $2562.62144217$
6.0.7765046464.3 x6 - 2x5 + 27x4 - 12x3 + 117x2 + 106x + 334 $-\,2^{6}\cdot 7^{2}\cdot 19^{5}$ $\PGL(2,5)$ (as 6T14) $[6]$ $251.742416555$
6.2.8240457472.1 x6 - 19x4 - 76x3 - 133x2 - 114x - 38 $2^{8}\cdot 13\cdot 19^{5}$ $S_4\times C_2$ (as 6T11) $[6]$ $113.649646409$
6.4.8913956400.1 x6 - 3x5 - 20x4 + 45x3 - 100x2 - 75x + 125 $-\,2^{4}\cdot 3^{2}\cdot 5^{2}\cdot 19^{5}$ $S_4\times C_2$ (as 6T11) $[3]$ $972.144542593$
6.0.8913956400.2 x6 - x5 + 2x4 - 11x3 + 208x2 - 81x + 729 $-\,2^{4}\cdot 3^{2}\cdot 5^{2}\cdot 19^{5}$ $S_3^2$ (as 6T9) $[3, 3]$ $89.364999505$
6.0.9025380855.1 x6 - 19x3 + 171x2 + 57x + 95 $-\,3^{6}\cdot 5\cdot 19^{5}$ $C_3^2:D_4$ (as 6T13) $[3]$ $145.956738157$
6.0.9213564379.1 x6 - 2x5 + 8x4 + 26x3 + 98x2 + 68x + 277 $-\,19^{5}\cdot 61^{2}$ $S_3\times C_3$ (as 6T5) $[3]$ $190.951190149$
6.2.9594883625.1 x6 - 2x5 + 8x4 + 26x3 - 35x2 + 125x + 125 $5^{3}\cdot 19^{5}\cdot 31$ $S_6$ (as 6T16) $[3]$ $445.812444761$
6.0.9706308080.1 x6 - 2x5 + 8x4 + 26x3 - 16x2 + 106x + 277 $-\,2^{4}\cdot 5\cdot 7^{2}\cdot 19^{5}$ $C_3^2:D_4$ (as 6T13) $[3]$ $344.947400183$
6.0.11115208411.1 x6 - x5 + 40x4 - 11x3 + 607x2 - 100x + 3028 $-\,19^{5}\cdot 67^{2}$ $D_{6}$ (as 6T3) $[3]$ $436.357425607$
6.2.11885275200.1 x6 - 2x5 - 11x4 - 12x3 + 60x2 - 160x + 220 $2^{6}\cdot 3\cdot 5^{2}\cdot 19^{5}$ $S_6$ (as 6T16) $[6]$ $832.113910247$
6.6.11885275200.1 x6 - 19x4 + 95x2 - 57 $2^{6}\cdot 3\cdot 5^{2}\cdot 19^{5}$ $S_4\times C_2$ (as 6T11) $[3]$ $974.213798824$
6.0.12234405159.1 x6 - 19x3 - 114x2 + 285x + 1900 $-\,3^{4}\cdot 19^{5}\cdot 61$ $S_6$ (as 6T16) $[2, 6]$ $145.36042744$
6.2.13103515908.2 x6 - 3x5 - x4 - 50x3 - 119x2 - 113x + 49 $2^{2}\cdot 3^{3}\cdot 7^{2}\cdot 19^{5}$ $S_3^2$ (as 6T9) $[3]$ $1511.47519463$
6.2.13103515908.4 x6 - 3x5 - x4 - 12x3 - 5x2 - 75x + 87 $2^{2}\cdot 3^{3}\cdot 7^{2}\cdot 19^{5}$ $S_3^2$ (as 6T9) $[3]$ $926.560177511$
6.2.14440609368.2 x6 - 19x3 - 57x2 + 285x - 266 $2^{3}\cdot 3^{6}\cdot 19^{5}$ $C_3^2:D_4$ (as 6T13) $[3]$ $1232.72007801$
6.2.14856594000.2 x6 - 3x5 + 18x4 - 31x3 + 52x2 - 37x - 103 $2^{4}\cdot 3\cdot 5^{3}\cdot 19^{5}$ $S_4\times C_2$ (as 6T11) $[6]$ $257.844555041$
6.2.14856594000.3 x6 - 2x5 + 8x4 + 64x3 + 60x2 + 296x + 524 $2^{4}\cdot 3\cdot 5^{3}\cdot 19^{5}$ $S_4\times C_2$ (as 6T11) $[6]$ $142.277248721$
6.0.16480914944.1 x6 - 38x3 + 152x2 - 304x + 665 $-\,2^{9}\cdot 13\cdot 19^{5}$ $S_4\times C_2$ (as 6T11) $[2, 6]$ $122.946853133$
6.2.17114796288.3 x6 - 2x5 + 8x4 - 12x3 - 111x2 - 46x - 8 $2^{8}\cdot 3^{3}\cdot 19^{5}$ $S_4\times C_2$ (as 6T11) $[12]$ $430.403173701$
6.2.17114796288.4 x6 - 2x5 + 8x4 - 12x3 + 60x2 - 768x + 1056 $2^{8}\cdot 3^{3}\cdot 19^{5}$ $\PGL(2,5)$ (as 6T14) $[3]$ $2184.02214118$
6.0.17471354544.1 x6 - x5 - 36x4 + 141x3 + 588x2 - 2513x + 2401 $-\,2^{4}\cdot 3^{2}\cdot 7^{2}\cdot 19^{5}$ $D_{6}$ (as 6T3) $[3]$ $296.818695167$
6.0.17748677632.1 x6 - 3x5 - 20x4 + 26x3 + 223x2 + 343x + 182 $-\,2^{10}\cdot 7\cdot 19^{5}$ $S_4\times C_2$ (as 6T11) $[6]$ $569.259414457$
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