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Label Polynomial Discriminant Galois group Class group
6.0.33856.1 x6 - x4 + 1 \( -\,2^{6}\cdot 23^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.0.61504.1 x6 + x2 + 1 \( -\,2^{6}\cdot 31^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.85952.1 x6 + x4 - 2x3 - 2x + 1 \( 2^{6}\cdot 17\cdot 79 \) $S_6$ (as 6T16) trivial
6.2.105408.1 x6 - x4 - 2x - 1 \( 2^{6}\cdot 3^{3}\cdot 61 \) $S_6$ (as 6T16) trivial
6.2.106432.1 x6 - 2x5 + x4 - 2x2 + 2x + 1 \( 2^{6}\cdot 1663 \) $S_6$ (as 6T16) trivial
6.2.132032.1 x6 - 2x5 + x4 + 2x3 - 4x2 + 2x - 1 \( 2^{6}\cdot 2063 \) $S_6$ (as 6T16) trivial
6.4.153664.1 x6 - x4 - 2x2 + 1 \( -\,2^{6}\cdot 7^{4} \) $A_4\times C_2$ (as 6T6) trivial
6.0.160320.1 x6 + x4 + 2x2 - 2x + 1 \( -\,2^{6}\cdot 3\cdot 5\cdot 167 \) $S_6$ (as 6T16) trivial
6.2.164800.1 x6 - 2x5 + 2x4 - 2x3 - x2 + 2x - 1 \( 2^{6}\cdot 5^{2}\cdot 103 \) $S_6$ (as 6T16) trivial
6.2.175552.1 x6 - 2x5 + 2x3 - x2 - 2x - 1 \( 2^{6}\cdot 13\cdot 211 \) $S_6$ (as 6T16) trivial
6.2.198592.1 x6 - 2x5 + 4x4 - 4x3 + x2 + 2x - 1 \( 2^{6}\cdot 29\cdot 107 \) $S_6$ (as 6T16) trivial
6.2.212416.1 x6 - x4 - 2x3 + 2x - 1 \( 2^{6}\cdot 3319 \) $S_6$ (as 6T16) trivial
6.2.236992.1 x6 - x4 + 2x2 - 7 \( 2^{6}\cdot 7\cdot 23^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.236992.2 x6 - x4 - x2 - 7 \( 2^{6}\cdot 7\cdot 23^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.240576.1 x6 - 2x5 + 2x4 - 3x2 + 1 \( 2^{6}\cdot 3\cdot 7\cdot 179 \) $S_6$ (as 6T16) trivial
6.2.241600.1 x6 - 2x5 - 2x3 + 3x2 + 2x + 1 \( 2^{6}\cdot 5^{2}\cdot 151 \) $S_6$ (as 6T16) trivial
6.2.279488.1 x6 - 2x5 + 2x3 - 3x2 + 4x - 3 \( 2^{6}\cdot 11\cdot 397 \) $S_6$ (as 6T16) trivial
6.2.279488.2 x6 - 2x5 + 3x2 - 1 \( 2^{6}\cdot 11\cdot 397 \) $S_6$ (as 6T16) trivial
6.2.307136.1 x6 - 2x5 + x4 + 2x2 - 1 \( 2^{6}\cdot 4799 \) $S_6$ (as 6T16) trivial
6.0.312896.1 x6 - 2x4 + 3x2 - 2x + 1 \( -\,2^{6}\cdot 4889 \) $S_6$ (as 6T16) trivial
6.0.333376.1 x6 - 2x5 + 4x4 - 6x3 + 5x2 - 4x + 3 \( -\,2^{6}\cdot 5209 \) $S_6$ (as 6T16) trivial
6.2.340416.1 x6 + x4 - 2x - 1 \( 2^{6}\cdot 3^{3}\cdot 197 \) $S_6$ (as 6T16) trivial
6.2.358336.1 x6 - 2x5 + 2x4 - 4x3 + x2 - 2x + 1 \( 2^{6}\cdot 11\cdot 509 \) $S_6$ (as 6T16) trivial
6.2.396736.1 x6 - 2x3 - x2 - 1 \( 2^{6}\cdot 6199 \) $S_6$ (as 6T16) trivial
6.0.412224.1 x6 + 3x4 + 4x2 - 2x + 3 \( -\,2^{6}\cdot 3\cdot 19\cdot 113 \) $S_6$ (as 6T16) trivial
6.2.416704.1 x6 - x4 - 2x3 - 4x2 - 2x - 1 \( 2^{6}\cdot 17\cdot 383 \) $S_6$ (as 6T16) trivial
6.4.419904.1 x6 - 3x2 + 1 \( -\,2^{6}\cdot 3^{8} \) $A_4\times C_2$ (as 6T6) trivial
6.2.428992.1 x6 - 2x5 + x4 + 2x2 - 2x - 1 \( 2^{6}\cdot 6703 \) $S_6$ (as 6T16) trivial
6.2.464832.1 x6 - 2x5 + 2x4 - 3x2 + 2x + 1 \( 2^{6}\cdot 3^{3}\cdot 269 \) $S_6$ (as 6T16) trivial
6.0.484416.1 x6 - x4 + 2x2 + 1 \( -\,2^{6}\cdot 3^{2}\cdot 29^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.0.486976.1 x6 - 2x5 + 4x4 - 4x3 + 5x2 - 2x + 3 \( -\,2^{6}\cdot 7\cdot 1087 \) $S_6$ (as 6T16) trivial
6.0.496704.1 x6 - 2x5 + 2x4 - x2 - 2x + 3 \( -\,2^{6}\cdot 3\cdot 13\cdot 199 \) $S_6$ (as 6T16) trivial
6.2.500672.1 x6 - 2x5 + 3x4 - 6x3 + 4x2 - 2x + 1 \( 2^{6}\cdot 7823 \) $S_6$ (as 6T16) trivial
6.4.508480.1 x6 - 2x5 - x4 + 4x2 - 1 \( -\,2^{6}\cdot 5\cdot 7\cdot 227 \) $S_6$ (as 6T16) trivial
6.0.524864.1 x6 - 2x5 + 6x4 - 8x3 + 9x2 - 4x + 1 \( -\,2^{6}\cdot 59\cdot 139 \) $S_6$ (as 6T16) trivial
6.2.533440.1 x6 + x4 - 2x3 + 2x2 - 1 \( 2^{6}\cdot 5\cdot 1667 \) $S_6$ (as 6T16) trivial
6.2.544704.1 x6 - 2x5 - x4 + 4x3 - 4x - 1 \( 2^{6}\cdot 3\cdot 2837 \) $S_6$ (as 6T16) trivial
6.0.553536.1 x6 - x4 - 6x2 + 9 \( -\,2^{6}\cdot 3^{2}\cdot 31^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.0.553536.2 x6 + 4x4 + 9x2 + 9 \( -\,2^{6}\cdot 3^{2}\cdot 31^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.0.575552.2 x6 + 5x2 + 17 \( -\,2^{6}\cdot 17\cdot 23^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.0.575552.3 x6 + 7x4 + 18x2 + 17 \( -\,2^{6}\cdot 17\cdot 23^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.579008.1 x6 - 2x5 - x4 + 4x3 - 4x2 - 4x + 3 \( 2^{6}\cdot 83\cdot 109 \) $S_6$ (as 6T16) trivial
6.2.591296.1 x6 - 2x4 - 4x3 - x2 - 2x - 1 \( 2^{6}\cdot 9239 \) $S_6$ (as 6T16) trivial
6.4.621632.1 x6 - 2x5 - 2x4 + 2x3 + 3x2 + 2x - 1 \( -\,2^{6}\cdot 11\cdot 883 \) $S_6$ (as 6T16) trivial
6.2.637888.1 x6 - 2x5 + 3x4 - 4x3 + 2x - 1 \( 2^{6}\cdot 9967 \) $S_6$ (as 6T16) trivial
6.2.661952.1 x6 - 2x5 + 3x4 + 2x3 - 4x2 + 6x + 1 \( 2^{6}\cdot 10343 \) $S_6$ (as 6T16) trivial
6.2.662976.1 x6 - 2x5 - x4 + 2x3 + 4x2 - 2x - 3 \( 2^{6}\cdot 3^{2}\cdot 1151 \) $S_6$ (as 6T16) trivial
6.0.673856.1 x6 - 2x5 + 5x4 - 8x3 + 10x2 - 8x + 3 \( -\,2^{6}\cdot 10529 \) $S_6$ (as 6T16) trivial
6.2.691648.1 x6 - 2x5 + 2x4 - 3x2 + 4x - 3 \( 2^{6}\cdot 101\cdot 107 \) $S_6$ (as 6T16) trivial
6.2.719296.1 x6 + 2x4 - x2 - 2x + 1 \( 2^{6}\cdot 11239 \) $S_6$ (as 6T16) trivial
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