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Label Polynomial Discriminant Galois group Class group
6.0.739328.1 x6 - 2x2 + 2 \( -\,2^{11}\cdot 19^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.948224.1 x6 - 2x5 + x4 - x2 + 6x - 7 \( 2^{11}\cdot 463 \) $S_6$ (as 6T16) trivial
6.2.1062912.1 x6 - 4x2 - 4x - 2 \( 2^{11}\cdot 3\cdot 173 \) $S_6$ (as 6T16) trivial
6.2.1226752.1 x6 - 2x5 + x4 - x2 - 2x + 1 \( 2^{11}\cdot 599 \) $S_6$ (as 6T16) trivial
6.0.1492992.3 x6 + 6x2 + 2 \( -\,2^{11}\cdot 3^{6} \) $S_4\times C_2$ (as 6T11) trivial
6.2.1669120.2 x6 - 2x5 - 3x4 + 8x3 - 9x2 + 2x - 1 \( 2^{11}\cdot 5\cdot 163 \) $S_6$ (as 6T16) trivial
6.2.1734656.2 x6 + 2x2 - 14 \( 2^{11}\cdot 7\cdot 11^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.0.2508800.1 x6 + 2x2 + 2 \( -\,2^{11}\cdot 5^{2}\cdot 7^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.4.2803712.1 x6 - 2x4 - 2x2 + 2 \( -\,2^{11}\cdot 37^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.3356672.1 x6 - 2x4 - 4x3 - 2x2 - 2 \( 2^{11}\cdot 11\cdot 149 \) $S_6$ (as 6T16) trivial
6.2.3979264.1 x6 + 4x4 - 4x3 - 4 \( 2^{11}\cdot 29\cdot 67 \) $S_6$ (as 6T16) trivial
6.0.4212736.3 x6 + 6x2 + 34 \( -\,2^{11}\cdot 11^{2}\cdot 17 \) $S_4\times C_2$ (as 6T11) trivial
6.2.4421632.1 x6 - 4x4 - 4x3 + 8x2 + 4x - 6 \( 2^{11}\cdot 17\cdot 127 \) $S_6$ (as 6T16) trivial
6.0.5326848.1 x6 - 2x4 + 2x2 + 2 \( -\,2^{11}\cdot 3^{2}\cdot 17^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.0.5588992.1 x6 + 4x4 - 4x3 + 4x2 - 4x + 2 \( -\,2^{11}\cdot 2729 \) $S_6$ (as 6T16) trivial
6.2.6371328.1 x6 - 2x5 - 3x4 + 8x3 + 3x2 - 14x + 3 \( 2^{11}\cdot 3\cdot 17\cdot 61 \) $S_6$ (as 6T16) trivial
6.2.6387712.1 x6 - 2x4 - 8x3 - 10x2 - 8x + 2 \( 2^{11}\cdot 3119 \) $S_6$ (as 6T16) trivial
6.2.6518784.1 x6 - 2x4 - 4x3 + 4x2 - 4 \( 2^{11}\cdot 3\cdot 1061 \) $S_6$ (as 6T16) trivial
6.0.7161856.1 x6 - 2x5 + 5x4 - 4x3 - x2 + 2x + 1 \( -\,2^{11}\cdot 13\cdot 269 \) $S_6$ (as 6T16) trivial
6.0.7243776.1 x6 + 2x4 - 4x3 + 8x + 4 \( -\,2^{11}\cdot 3^{3}\cdot 131 \) $S_6$ (as 6T16) trivial
6.2.7485440.1 x6 - 4x3 - 12x2 - 8x - 4 \( 2^{11}\cdot 5\cdot 17\cdot 43 \) $S_6$ (as 6T16) trivial
6.2.8124416.1 x6 - 2x5 + 5x4 + 4x3 - 7x2 - 6x - 1 \( 2^{11}\cdot 3967 \) $S_6$ (as 6T16) trivial
6.2.8239104.2 x6 - 2x5 - 3x4 + 12x3 - 9x2 - 6x + 9 \( 2^{11}\cdot 3^{3}\cdot 149 \) $S_6$ (as 6T16) trivial
6.2.8976384.1 x6 - 8x3 - 6x2 + 2 \( 2^{11}\cdot 3^{2}\cdot 487 \) $S_6$ (as 6T16) trivial
6.2.9566208.1 x6 - 2x5 + x4 - 5x2 + 10x - 1 \( 2^{11}\cdot 3^{3}\cdot 173 \) $S_6$ (as 6T16) trivial
6.0.10160128.3 x6 + 8x4 + 42x2 + 82 \( -\,2^{11}\cdot 11^{2}\cdot 41 \) $S_4\times C_2$ (as 6T11) trivial
6.2.10401792.1 x6 - 2x5 - 3x4 + 16x3 + x2 - 10x + 3 \( 2^{11}\cdot 3\cdot 1693 \) $S_6$ (as 6T16) trivial
6.2.10450944.1 x6 - 2x5 + x4 + 3x2 - 6x - 9 \( 2^{11}\cdot 3^{6}\cdot 7 \) $S_6$ (as 6T16) trivial
6.4.10569728.1 x6 - 2x5 - 3x4 + 8x3 + 5x2 - 2x - 1 \( -\,2^{11}\cdot 13\cdot 397 \) $S_6$ (as 6T16) trivial
6.2.11188224.1 x6 - 2x5 - x4 + 4x3 + x2 - 6x - 3 \( 2^{11}\cdot 3^{2}\cdot 607 \) $S_6$ (as 6T16) trivial
6.0.11225088.1 x6 + 10x4 - 4x3 + 24x2 - 12x + 6 \( -\,2^{11}\cdot 3^{3}\cdot 7\cdot 29 \) $S_6$ (as 6T16) trivial
6.4.11552768.1 x6 - 8x4 + 10x2 - 8x + 2 \( -\,2^{11}\cdot 5641 \) $S_6$ (as 6T16) trivial
6.4.11601920.1 x6 - 2x4 - 8x2 - 4x + 2 \( -\,2^{11}\cdot 5\cdot 11\cdot 103 \) $S_6$ (as 6T16) trivial
6.2.11646976.1 x6 - 34x2 - 94 \( 2^{11}\cdot 11^{2}\cdot 47 \) $S_4\times C_2$ (as 6T11) trivial
6.2.11646976.3 x6 - 2x4 - 6x2 - 94 \( 2^{11}\cdot 11^{2}\cdot 47 \) $S_4\times C_2$ (as 6T11) trivial
6.2.11778048.1 x6 - 2x5 + 3x4 - 5x2 + 6x - 1 \( 2^{11}\cdot 3^{4}\cdot 71 \) $S_6$ (as 6T16) trivial
6.0.12142592.1 x6 + 8x4 + 14x2 + 98 \( -\,2^{11}\cdot 7^{2}\cdot 11^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.12269568.1 x6 - 2x5 - 3x4 + 4x3 + 9x2 - 6x - 9 \( 2^{11}\cdot 3\cdot 1997 \) $S_6$ (as 6T16) trivial
6.2.12531712.1 x6 - 2x4 - 4x3 - 10x2 - 8x - 2 \( 2^{11}\cdot 29\cdot 211 \) $S_6$ (as 6T16) trivial
6.2.12793856.1 x6 - 8x4 + 20x2 - 4x - 18 \( 2^{11}\cdot 6247 \) $S_6$ (as 6T16) trivial
6.2.13318144.1 x6 - 2x5 + x4 - 13x2 - 6x + 7 \( 2^{11}\cdot 7\cdot 929 \) $S_6$ (as 6T16) trivial
6.2.14071808.2 x6 - 2x5 + 7x4 - 20x3 + 23x2 - 6x - 5 \( 2^{11}\cdot 6871 \) $S_6$ (as 6T16) trivial
6.2.14743552.1 x6 - 2x5 - x4 - x2 + 2x + 13 \( 2^{11}\cdot 23\cdot 313 \) $S_6$ (as 6T16) trivial
6.2.14923776.1 x6 - 2x5 + 7x4 - 16x3 + 9x2 - 18x + 1 \( 2^{11}\cdot 3\cdot 7\cdot 347 \) $S_6$ (as 6T16) trivial
6.2.15202304.1 x6 - 2x5 + 3x4 + 3x2 - 2x - 1 \( 2^{11}\cdot 13\cdot 571 \) $S_6$ (as 6T16) trivial
6.2.15693824.1 x6 - 2x4 - 4x3 + 6x2 - 2 \( 2^{11}\cdot 79\cdot 97 \) $S_6$ (as 6T16) trivial
6.4.15927296.1 x6 - 2x5 - 5x4 + 8x3 - 5x2 + 6x - 1 \( -\,2^{11}\cdot 7\cdot 11\cdot 101 \) $S_6$ (as 6T16) trivial
6.2.16578560.1 x6 - 4x4 - 4x3 + 12x + 10 \( 2^{11}\cdot 5\cdot 1619 \) $S_6$ (as 6T16) trivial
6.2.17004544.4 x6 - 8x4 + 26x2 - 46 \( 2^{11}\cdot 19^{2}\cdot 23 \) $S_4\times C_2$ (as 6T11) trivial
6.2.17561600.3 x6 - 10x4 + 18x2 - 14 \( 2^{11}\cdot 5^{2}\cdot 7^{3} \) $S_4\times C_2$ (as 6T11) trivial
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