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Label Polynomial Discriminant Galois group Class group
6.2.28037.1 x6 - 2x5 + 3x3 - 2x - 1 \( 23^{2}\cdot 53 \) $S_4\times C_2$ (as 6T11) trivial
6.2.29077.1 x6 - x5 + x4 - x2 + 2x - 1 \( 29077 \) $S_6$ (as 6T16) trivial
6.2.29189.1 x6 - 2x5 + x4 + x3 - 2x2 + x + 1 \( 17^{2}\cdot 101 \) $S_6$ (as 6T16) trivial
6.2.30125.1 x6 - x5 + x4 - 2x2 + x - 1 \( 5^{3}\cdot 241 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.31133.1 x6 - 2x4 - x3 + 2x + 1 \( 163\cdot 191 \) $S_6$ (as 6T16) trivial
6.2.31213.1 x6 - 2x5 + 2x4 - 3x3 + 2x2 - 2x + 1 \( 7^{4}\cdot 13 \) $A_4\times C_2$ (as 6T6) trivial
6.2.31709.1 x6 - x5 + 2x3 - 2x2 + 1 \( 37\cdot 857 \) $S_6$ (as 6T16) trivial
6.2.32269.1 x6 - 3x5 + 4x4 - 3x3 + x2 - 1 \( 23^{2}\cdot 61 \) $S_4\times C_2$ (as 6T11) trivial
6.2.33856.1 x6 + x4 - 1 \( 2^{6}\cdot 23^{2} \) $S_4$ (as 6T7) trivial
6.2.35125.1 x6 - x5 - x4 + 2x3 - x2 + 1 \( 5^{3}\cdot 281 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.35557.1 x6 - 2x4 - x3 + 2x2 - 1 \( 31^{2}\cdot 37 \) $S_4\times C_2$ (as 6T11) trivial
6.2.37253.1 x6 - x4 + x2 - x - 1 \( 37253 \) $S_6$ (as 6T16) trivial
6.2.37568.1 x6 - 2x5 + 2x4 - x2 + 2x - 1 \( 2^{6}\cdot 587 \) $S_6$ (as 6T16) trivial
6.2.39269.1 x6 - x5 - 2x4 + 2x3 - 2x + 1 \( 107\cdot 367 \) $S_6$ (as 6T16) trivial
6.2.40277.1 x6 - x5 + 2x3 - 3x2 + 3x - 1 \( 40277 \) $S_6$ (as 6T16) trivial
6.2.40733.1 x6 - 2x5 + 3x4 - 2x3 - 3x2 + 3x - 1 \( 7\cdot 11\cdot 23^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.41069.1 x6 - 2x4 + 2x2 - x - 1 \( 7\cdot 5867 \) $S_6$ (as 6T16) trivial
6.2.44965.1 x6 - 2x4 - 3x - 1 \( 5\cdot 17\cdot 23^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.45301.1 x6 - x5 + x4 + x - 1 \( 89\cdot 509 \) $S_6$ (as 6T16) trivial
6.2.46757.1 x6 - x5 + 2x3 - 2x2 + 2x - 1 \( 46757 \) $S_6$ (as 6T16) trivial
6.2.47081.1 x6 - x5 - 3x4 + 3x3 + 3x2 - x - 1 \( 23^{2}\cdot 89 \) $S_4\times C_2$ (as 6T11) trivial
6.2.47149.1 x6 - x5 + 3x4 - 2x3 + x2 - 1 \( 47149 \) $S_6$ (as 6T16) trivial
6.2.47669.1 x6 - x5 + x4 - x2 - 1 \( 73\cdot 653 \) $S_6$ (as 6T16) trivial
6.2.47933.1 x6 - 2x5 + 2x4 - x3 - 1 \( 47933 \) $S_6$ (as 6T16) trivial
6.2.49664.1 x6 - 2x5 + 3x4 - 2x3 - 1 \( 2^{9}\cdot 97 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.49781.1 x6 - x - 1 \( 67\cdot 743 \) $S_6$ (as 6T16) trivial
6.2.50173.1 x6 - x5 + x4 + 2x3 - 4x2 + 3x - 1 \( 131\cdot 383 \) $S_6$ (as 6T16) trivial
6.2.50933.1 x6 - 2x5 - x4 + 4x3 - 3x2 + 3x - 1 \( 31^{2}\cdot 53 \) $S_4\times C_2$ (as 6T11) trivial
6.2.51125.1 x6 - 2x5 + 2x4 - 2x2 + 3x - 1 \( 5^{3}\cdot 409 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.51757.1 x6 - 2x3 - 2x2 + x + 1 \( 73\cdot 709 \) $S_6$ (as 6T16) trivial
6.2.51869.1 x6 - 2x5 + x4 + x3 - 2x2 + x - 1 \( 51869 \) $S_6$ (as 6T16) trivial
6.2.52441.1 x6 - x4 - x3 - x2 + 1 \( 229^{2} \) $S_4$ (as 6T7) trivial
6.2.52625.1 x6 - 2x4 - x3 + x2 + x - 1 \( 5^{3}\cdot 421 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.53429.1 x6 - 3x5 + 2x4 + x3 + x2 - 2x - 1 \( 23^{2}\cdot 101 \) $S_4\times C_2$ (as 6T11) trivial
6.2.55376.1 x6 - x5 - 2x4 + 3x3 - x + 1 \( 2^{4}\cdot 3461 \) $S_6$ (as 6T16) trivial
6.2.56125.1 x6 - x5 + x3 - 3x2 + 2x - 1 \( 5^{3}\cdot 449 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.56144.1 x6 - x5 - 2x4 + 3x3 - 3x + 1 \( 2^{4}\cdot 11^{2}\cdot 29 \) $S_4\times C_2$ (as 6T11) trivial
6.2.57152.1 x6 - 2x5 + 2x4 - 2x3 + x2 - 1 \( 2^{6}\cdot 19\cdot 47 \) $S_6$ (as 6T16) trivial
6.2.57661.1 x6 - x5 + 4x3 - 3x2 + x - 1 \( 23^{2}\cdot 109 \) $S_4\times C_2$ (as 6T11) trivial
6.2.58589.1 x6 - 2x5 + 2x4 + x3 - 4x2 + 4x - 1 \( 41\cdot 1429 \) $S_6$ (as 6T16) trivial
6.2.58673.1 x6 - x3 + x2 + x - 1 \( 23\cdot 2551 \) $S_6$ (as 6T16) trivial
6.2.59177.1 x6 - x4 - x3 + x2 - 1 \( 17\cdot 59^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.61193.1 x6 - x5 + x4 - x3 - x2 + x - 1 \( 11\cdot 5563 \) $S_6$ (as 6T16) trivial
6.2.61504.1 x6 + x2 - 1 \( 2^{6}\cdot 31^{2} \) $S_4$ (as 6T7) trivial
6.2.62437.1 x6 - x4 - x3 + 2x2 + x - 1 \( 29\cdot 2153 \) $S_6$ (as 6T16) trivial
6.2.63461.1 x6 - x3 + 2x - 1 \( 17\cdot 3733 \) $S_6$ (as 6T16) trivial
6.2.63909.1 x6 + 2x4 - x - 1 \( 3^{5}\cdot 263 \) $S_6$ (as 6T16) trivial
6.2.64829.1 x6 - 3x5 + 4x4 - 2x3 - 2x2 + 2x - 1 \( 241\cdot 269 \) $S_6$ (as 6T16) trivial
6.2.65405.1 x6 - x5 + 2x4 - 2x3 - 1 \( 5\cdot 103\cdot 127 \) $S_6$ (as 6T16) trivial
6.2.65797.1 x6 - 2x4 - x + 1 \( 19\cdot 3463 \) $S_6$ (as 6T16) trivial
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