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Label Polynomial Discriminant Galois group Class group Regulator
6.0.336091.1 x6 - x5 + x4 + 5x2 + 4x + 1 $-\,7^{2}\cdot 19^{3}$ $S_3\times C_3$ (as 6T5) trivial $2.3409784627$
6.0.528143.1 x6 - x5 + 3x4 - x3 + 2x2 + 2x + 1 $-\,7\cdot 11\cdot 19^{3}$ $C_3^2:D_4$ (as 6T13) trivial $3.15256501689$
6.0.2668151.1 x6 - x5 + 2x4 - 4x3 + 5x2 - 6x + 4 $-\,19^{3}\cdot 389$ $C_3^2:D_4$ (as 6T13) trivial $7.22316357391$
6.0.3841040.1 x6 - 2x5 + 2x4 + 2x3 + 2x2 - 8x + 7 $-\,2^{4}\cdot 5\cdot 7\cdot 19^{3}$ $C_3^2:D_4$ (as 6T13) trivial $13.2942421582$
6.0.4149695.1 x6 - 2x5 + 4x4 + x3 + 3x2 + 6x + 4 $-\,5\cdot 11^{2}\cdot 19^{3}$ $C_3^2:D_4$ (as 6T13) trivial $10.9226578915$
6.4.5027647.1 x6 - 3x5 - 3x4 + 8x3 + 7x2 - 3x - 2 $-\,19^{3}\cdot 733$ $S_6$ (as 6T16) trivial $27.5366311582$
6.0.5377456.1 x6 - x5 - 5x3 + 10x2 - 5x + 1 $-\,2^{4}\cdot 7^{2}\cdot 19^{3}$ $S_3\times C_3$ (as 6T5) $[3]$ $2.87637296087$
6.0.5377456.2 x6 - x5 - 2x4 + 11x3 + 18x2 + 7x + 1 $-\,2^{4}\cdot 7^{2}\cdot 19^{3}$ $S_3\times C_3$ (as 6T5) $[3]$ $5.26788591245$
6.0.6035920.1 x6 - x5 + 2x4 - 7x3 + 16x2 - 11x + 5 $-\,2^{4}\cdot 5\cdot 11\cdot 19^{3}$ $C_3^2:D_4$ (as 6T13) trivial $17.1303365085$
6.0.6591499.1 x6 - 9x4 - 14x3 + 25x2 + 25x + 125 $-\,19^{3}\cdot 31^{2}$ $D_{6}$ (as 6T3) trivial $7.32483413303$
6.0.6756115.1 x6 - 3x5 + 8x4 - 10x3 + 13x2 - 9x + 5 $-\,5\cdot 19^{3}\cdot 197$ $C_3^2:D_4$ (as 6T13) trivial $13.3230405322$
6.0.7414579.1 x6 - 4x4 - x3 + 4x2 + 2x + 5 $-\,19^{3}\cdot 23\cdot 47$ $C_3^2:D_4$ (as 6T13) trivial $9.79724125963$
6.0.8347403.1 x6 + x4 - 2x3 + 5x2 - x + 1 $-\,19^{3}\cdot 1217$ $C_3^2:D_4$ (as 6T13) trivial $11.5959545008$
6.0.8896123.1 x6 - x5 - x4 + 2x3 + 3x + 5 $-\,19^{3}\cdot 1297$ $C_3^2:D_4$ (as 6T13) trivial $12.6350401061$
6.0.9911255.1 x6 - x5 + 6x3 + 14x2 + 15x + 9 $-\,5\cdot 17^{2}\cdot 19^{3}$ $C_3^2:D_4$ (as 6T13) trivial $16.8867242745$
6.0.10459975.1 x6 - 2x5 + 6x4 - 11x3 + 17x2 - 15x + 9 $-\,5^{2}\cdot 19^{3}\cdot 61$ $C_3^2:D_4$ (as 6T13) trivial $18.533334861$
6.4.10590296.1 x6 - x5 - 5x4 + 7x3 + 5x2 - 10x + 1 $-\,2^{3}\cdot 19^{3}\cdot 193$ $S_6$ (as 6T16) trivial $44.5947147682$
6.0.12682291.1 x6 - 3x5 + 6x4 + 7x3 + 11x2 + 2x + 4 $-\,19^{3}\cdot 43^{2}$ $S_3\times C_3$ (as 6T5) trivial $22.7661138895$
6.0.13368191.1 x6 - 4x4 - x3 + 23x2 - 17x + 5 $-\,19^{3}\cdot 1949$ $C_3^2:D_4$ (as 6T13) trivial $21.4266793797$
6.0.13862039.1 x6 - x5 - 3x4 - 3x3 + 10x2 + 28x + 17 $-\,19^{3}\cdot 43\cdot 47$ $C_3^2:D_4$ (as 6T13) trivial $18.8126717374$
6.0.15124095.1 x6 - 2x5 + 3x3 + 3x2 - x + 1 $-\,3^{2}\cdot 5\cdot 7^{2}\cdot 19^{3}$ $C_3^2:D_4$ (as 6T13) $[3]$ $8.86918469048$
6.0.15974611.1 x6 + 3x4 - 2x3 + 7x2 - 3x + 1 $-\,17\cdot 19^{3}\cdot 137$ $C_3^2:D_4$ (as 6T13) trivial $13.8301860891$
6.0.16468459.1 x6 - x5 + 10x4 - 7x3 + 75x2 - 16x + 239 $-\,7^{4}\cdot 19^{3}$ $C_6$ (as 6T1) $[3]$ $2.10181872849$
6.0.17373847.1 x6 - 2x5 - 4x4 + 6x3 + 10x2 - 12x + 5 $-\,17\cdot 19^{3}\cdot 149$ $C_3^2:D_4$ (as 6T13) trivial $26.9248377723$
6.0.19205200.1 x6 - x5 - 2x4 - 3x3 + 6x2 - x + 7 $-\,2^{4}\cdot 5^{2}\cdot 7\cdot 19^{3}$ $C_3^2:D_4$ (as 6T13) trivial $27.8462557594$
6.2.20741616.1 x6 - x5 - 6x4 + 14x2 + 16x + 4 $2^{4}\cdot 3^{3}\cdot 7\cdot 19^{3}$ $C_3^2:D_4$ (as 6T13) trivial $121.936345332$
6.2.21036553.1 x6 - x5 - 3x4 + 15x3 - 18x2 + 13x - 3 $19^{3}\cdot 3067$ $S_6$ (as 6T16) trivial $53.083313125$
6.0.21269759.1 x6 - x5 + 14x3 + 10x2 - 5x + 1 $-\,7\cdot 19^{3}\cdot 443$ $C_3^2:D_4$ (as 6T13) trivial $28.8628556961$
6.0.21352067.1 x6 + 7x4 - 2x3 + 17x2 - 7x + 1 $-\,11\cdot 19^{3}\cdot 283$ $C_3^2:D_4$ (as 6T13) trivial $28.8920193812$
6.0.23766435.1 x6 - 3x5 + 7x4 - 6x3 + 9x2 + 9 $-\,3^{2}\cdot 5\cdot 7\cdot 11\cdot 19^{3}$ $C_3^2:D_4$ (as 6T13) trivial $27.6126273408$
6.0.23793871.1 x6 - x5 - 3x4 + 7x3 + 5x2 - 12x + 7 $-\,19^{3}\cdot 3469$ $C_3^2:D_4$ (as 6T13) trivial $17.6989096879$
6.0.23876179.1 x6 - x5 + 12x4 - 11x3 + 73x2 + 26x + 172 $-\,19^{3}\cdot 59^{2}$ $D_{6}$ (as 6T3) trivial $26.5504287195$
6.0.24692400.1 x6 - x5 + 8x4 - 17x3 + 10x2 - 9x + 9 $-\,2^{4}\cdot 3^{2}\cdot 5^{2}\cdot 19^{3}$ $S_3^2$ (as 6T9) $[3]$ $11.6203549343$
6.0.25001055.1 x6 + 6x4 - x3 + 9x2 - 3x + 5 $-\,3^{6}\cdot 5\cdot 19^{3}$ $C_3^2:D_4$ (as 6T13) trivial $35.4382566042$
6.0.25138235.1 x6 - 3x5 + 11x4 - 14x3 + 35x2 - 16x + 35 $-\,5\cdot 19^{3}\cdot 733$ $C_3^2:D_4$ (as 6T13) trivial $39.381790529$
6.0.25522339.1 x6 - x5 + 12x4 - 10x3 + 44x2 - 18x + 45 $-\,19^{3}\cdot 61^{2}$ $S_3\times C_3$ (as 6T5) trivial $32.2408021923$
6.0.25570352.1 x6 - 3x5 + 8x4 - 9x3 + 2x2 + x + 1 $-\,2^{4}\cdot 19^{3}\cdot 233$ $C_3^2:D_4$ (as 6T13) $[6]$ $3.80423987172$
6.0.25961315.1 x6 - x5 - 2x4 + 11x3 - x2 - 12x + 20 $-\,5\cdot 19^{3}\cdot 757$ $C_3^2:D_4$ (as 6T13) trivial $45.1282741559$
6.0.30179600.1 x6 - 3x5 + 2x4 - x3 + 7x + 5 $-\,2^{4}\cdot 5^{2}\cdot 11\cdot 19^{3}$ $C_3^2:D_4$ (as 6T13) trivial $41.6851730474$
6.2.31112424.1 x6 - x5 - 2x4 - 3x3 + 6x2 + 18x - 12 $2^{3}\cdot 3^{4}\cdot 7\cdot 19^{3}$ $C_3^2:D_4$ (as 6T13) trivial $153.855276722$
6.0.31613131.1 x6 - x5 - 2x4 - 7x3 - 11x2 + 32x + 43 $-\,11\cdot 19^{3}\cdot 419$ $C_3^2:D_4$ (as 6T13) trivial $31.2730653286$
6.0.31695439.1 x6 - 2x5 + 4x4 - 7x3 + 11x2 - 6x + 4 $-\,19^{3}\cdot 4621$ $C_3^2:D_4$ (as 6T13) trivial $32.4795564412$
6.2.31853196.1 x6 + 2x4 - 9x3 + x2 - 9x + 6 $2^{2}\cdot 3^{3}\cdot 19^{3}\cdot 43$ $C_3^2:D_4$ (as 6T13) trivial $122.469323824$
6.0.33176983.1 x6 - 2x5 + 8x4 - 5x3 + 15x2 - 12x + 20 $-\,7\cdot 19^{3}\cdot 691$ $C_3^2:D_4$ (as 6T13) trivial $49.9214110431$
6.0.33917755.1 x6 - 2x5 - x4 + 5x3 - 2x2 - 3x + 45 $-\,5\cdot 19^{3}\cdot 23\cdot 43$ $C_3^2:D_4$ (as 6T13) trivial $35.1193746553$
6.0.34349872.1 x6 - 8x4 - 2x3 + 16x2 + 8x + 20 $-\,2^{4}\cdot 19^{3}\cdot 313$ $C_3^2:D_4$ (as 6T13) $[3]$ $13.7796618545$
6.0.35097503.1 x6 - x5 + 5x4 - 3x3 + 11x2 + 7 $-\,7\cdot 17\cdot 19^{3}\cdot 43$ $C_3^2:D_4$ (as 6T13) trivial $27.7287311135$
6.0.35975455.1 x6 - 2x5 + 5x4 - 11x3 + 11x2 - 14x + 17 $-\,5\cdot 19^{3}\cdot 1049$ $C_3^2:D_4$ (as 6T13) trivial $39.6124345562$
6.2.36297828.1 x6 - x5 - 8x3 + 21x2 - 7x - 14 $2^{2}\cdot 3^{3}\cdot 7^{2}\cdot 19^{3}$ $S_3^2$ (as 6T9) trivial $137.309649925$
6.2.36297828.2 x6 - x5 - 4x4 - 2x3 - 5x2 + 15x - 12 $2^{2}\cdot 3^{3}\cdot 7^{2}\cdot 19^{3}$ $S_3^2$ (as 6T9) trivial $139.723097096$
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