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Label Polynomial Discriminant Galois group Class group
6.2.37568.1 x6 - 2x5 + 2x4 - x2 + 2x - 1 \( 2^{6}\cdot 587 \) $S_6$ (as 6T16) trivial
6.0.80192.1 x6 - 2x5 + x4 + 2x2 - 2x + 1 \( -\,2^{6}\cdot 7\cdot 179 \) $S_6$ (as 6T16) trivial
6.2.122560.1 x6 - 2x5 + 4x4 - 4x3 + 3x2 - 1 \( 2^{6}\cdot 5\cdot 383 \) $S_6$ (as 6T16) trivial
6.2.127168.1 x6 - 2x5 - x4 + 4x3 - 2x2 + 1 \( 2^{6}\cdot 1987 \) $S_6$ (as 6T16) trivial
6.2.129728.1 x6 - 2x5 + 2x3 - x2 - 2x + 1 \( 2^{6}\cdot 2027 \) $S_6$ (as 6T16) trivial
6.0.169280.1 x6 + 4x4 + 7x2 + 5 \( -\,2^{6}\cdot 5\cdot 23^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.0.169280.2 x6 - x4 - 4x2 + 5 \( -\,2^{6}\cdot 5\cdot 23^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.184512.1 x6 - 3x4 + 4x2 - 3 \( 2^{6}\cdot 3\cdot 31^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.184512.2 x6 + 2x4 - x2 - 3 \( 2^{6}\cdot 3\cdot 31^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.0.231232.1 x6 + x4 - 2x3 + 4x2 - 2x + 1 \( -\,2^{6}\cdot 3613 \) $S_6$ (as 6T16) trivial
6.2.241856.1 x6 - 2x5 + 2x4 - 4x3 + 5x2 - 4x + 1 \( 2^{6}\cdot 3779 \) $S_6$ (as 6T16) trivial
6.4.257344.1 x6 - 2x5 + 2x3 - 3x2 + 1 \( -\,2^{6}\cdot 4021 \) $S_6$ (as 6T16) trivial
6.2.293568.1 x6 - 2x5 + 2x3 - x2 + 2x - 1 \( 2^{6}\cdot 3\cdot 11\cdot 139 \) $S_6$ (as 6T16) trivial
6.2.294592.1 x6 - 2x5 + 4x4 - 4x3 + x2 - 1 \( 2^{6}\cdot 4603 \) $S_6$ (as 6T16) trivial
6.0.298816.1 x6 - 2x5 + 3x4 - 4x3 + 2x2 + 1 \( -\,2^{6}\cdot 7\cdot 23\cdot 29 \) $S_6$ (as 6T16) trivial
6.0.316224.1 x6 - 2x5 + 4x4 - 4x3 + 5x2 - 4x + 3 \( -\,2^{6}\cdot 3^{4}\cdot 61 \) $S_6$ (as 6T16) trivial
6.0.316736.1 x6 + x4 - 2x3 + 2x2 + 1 \( -\,2^{6}\cdot 7^{2}\cdot 101 \) $S_6$ (as 6T16) trivial
6.2.339136.1 x6 + 2x4 - x2 - 2x - 1 \( 2^{6}\cdot 7\cdot 757 \) $S_6$ (as 6T16) trivial
6.2.355008.1 x6 - 2x5 - x4 + 2x3 + 2x + 1 \( 2^{6}\cdot 3\cdot 43^{2} \) $S_6$ (as 6T16) trivial
6.0.356672.1 x6 - 2x5 + 2x4 - 4x3 + 5x2 - 2x + 1 \( -\,2^{6}\cdot 5573 \) $S_6$ (as 6T16) trivial
6.0.357696.1 x6 + x4 - 2x3 - 2x + 3 \( -\,2^{6}\cdot 3^{5}\cdot 23 \) $S_6$ (as 6T16) trivial
6.2.362176.2 x6 - 2x4 - 2x3 + 3x2 - 1 \( 2^{6}\cdot 5659 \) $S_6$ (as 6T16) trivial
6.0.363840.1 x6 - 2x5 + 4x4 - 6x3 + 7x2 - 6x + 3 \( -\,2^{6}\cdot 3\cdot 5\cdot 379 \) $S_6$ (as 6T16) trivial
6.2.372416.1 x6 - 4x4 + 7x2 - 11 \( 2^{6}\cdot 11\cdot 23^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.372416.2 x6 - 4x4 + 9x2 - 11 \( 2^{6}\cdot 11\cdot 23^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.416960.1 x6 + x4 - 4x3 - 2x2 + 2x + 1 \( 2^{6}\cdot 5\cdot 1303 \) $S_6$ (as 6T16) trivial
6.2.437952.1 x6 + x4 - 2x3 - 2x2 + 1 \( 2^{6}\cdot 3\cdot 2281 \) $S_6$ (as 6T16) trivial
6.2.446144.1 x6 - 3x4 + 4x2 - 4x + 1 \( 2^{6}\cdot 6971 \) $S_6$ (as 6T16) trivial
6.2.452288.1 x6 - 2x5 + x4 - 2x3 + 2x2 + 2x - 1 \( 2^{6}\cdot 37\cdot 191 \) $S_6$ (as 6T16) trivial
6.0.463168.1 x6 - 2x5 + 3x4 - 2x3 + 4x2 - 2x + 1 \( -\,2^{6}\cdot 7237 \) $S_6$ (as 6T16) trivial
6.2.474816.1 x6 - 2x4 - x2 - 2x + 1 \( 2^{6}\cdot 3\cdot 2473 \) $S_6$ (as 6T16) trivial
6.2.477376.1 x6 - x4 - 4x3 - 2x2 + 1 \( 2^{6}\cdot 7459 \) $S_6$ (as 6T16) trivial
6.2.493248.1 x6 - 2x5 - 2x4 + 8x3 - 5x2 - 2x - 1 \( 2^{6}\cdot 3\cdot 7\cdot 367 \) $S_6$ (as 6T16) trivial
6.2.513216.2 x6 - 2x3 + 3x2 - 1 \( 2^{6}\cdot 3^{6}\cdot 11 \) $S_6$ (as 6T16) trivial
6.2.523456.1 x6 + x4 - 2x3 - 2x - 1 \( 2^{6}\cdot 8179 \) $S_6$ (as 6T16) trivial
6.2.528064.1 x6 - 3x4 - 2x3 + 4x2 - 1 \( 2^{6}\cdot 37\cdot 223 \) $S_6$ (as 6T16) trivial
6.2.528576.1 x6 - 2x5 + x4 + 4x3 - 6x2 + 2x - 1 \( 2^{6}\cdot 3\cdot 2753 \) $S_6$ (as 6T16) trivial
6.2.538304.1 x6 - 2x5 + 5x4 - 4x3 + 2x2 - 1 \( 2^{6}\cdot 13\cdot 647 \) $S_6$ (as 6T16) trivial
6.2.540864.1 x6 - 2x4 - 2x3 - 3x2 - 2x - 3 \( 2^{6}\cdot 3^{3}\cdot 313 \) $S_6$ (as 6T16) trivial
6.2.557248.1 x6 - 2x5 + 4x3 - x2 - 4x - 1 \( 2^{6}\cdot 8707 \) $S_6$ (as 6T16) trivial
6.2.559808.1 x6 - 2x5 - x4 + 4x3 + 2x2 - 4x + 1 \( 2^{6}\cdot 8747 \) $S_6$ (as 6T16) trivial
6.0.564032.1 x6 + 2x4 + 3x2 - 2x + 1 \( -\,2^{6}\cdot 7\cdot 1259 \) $S_6$ (as 6T16) trivial
6.4.582464.1 x6 - 2x5 - 2x3 + 5x2 - 1 \( -\,2^{6}\cdot 19\cdot 479 \) $S_6$ (as 6T16) trivial
6.2.601792.1 x6 - 2x5 + x4 - 4x3 + 6x2 - 1 \( 2^{6}\cdot 9403 \) $S_6$ (as 6T16) trivial
6.2.616128.1 x6 + x4 - 4x3 - 4x2 - 2x - 1 \( 2^{6}\cdot 3\cdot 3209 \) $S_6$ (as 6T16) trivial
6.2.626368.1 x6 - x4 - 4x2 - 4x + 1 \( 2^{6}\cdot 9787 \) $S_6$ (as 6T16) trivial
6.2.638656.1 x6 - 3x4 + 4x2 - 2x - 1 \( 2^{6}\cdot 17\cdot 587 \) $S_6$ (as 6T16) trivial
6.2.643264.2 x6 - 5x4 + 15x2 - 19 \( 2^{6}\cdot 19\cdot 23^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.676544.1 x6 + 2x4 - x2 - 11 \( 2^{6}\cdot 11\cdot 31^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.681664.1 x6 - 2x5 + 2x4 + 4x3 - 3x2 - 2x + 1 \( 2^{6}\cdot 10651 \) $S_6$ (as 6T16) trivial
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