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Label Polynomial Discriminant Galois group Class group
6.0.247808.2 x6 + 2x4 + 2x2 + 2 \( -\,2^{11}\cdot 11^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.489472.1 x6 - 2x5 + x4 + 4x3 - 5x2 + 2x + 1 \( 2^{11}\cdot 239 \) $S_6$ (as 6T16) trivial
6.2.1669120.1 x6 - 4x4 - 4x - 2 \( 2^{11}\cdot 5\cdot 163 \) $S_6$ (as 6T16) trivial
6.2.2209792.1 x6 - 2x5 + 5x4 - 8x3 - x2 + 2x - 1 \( 2^{11}\cdot 13\cdot 83 \) $S_6$ (as 6T16) trivial
6.4.2803712.3 x6 - 4x4 + 2x2 + 2 \( -\,2^{11}\cdot 37^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.0.2852864.1 x6 + 2x4 - 4x3 + 4x2 + 4 \( -\,2^{11}\cdot 7\cdot 199 \) $S_6$ (as 6T16) trivial
6.2.3192832.2 x6 - 2x5 + x4 - 4x3 + 3x2 + 2x + 1 \( 2^{11}\cdot 1559 \) $S_6$ (as 6T16) trivial
6.2.3700736.1 x6 - 2x5 + x4 + 8x3 - 7x2 + 6x - 1 \( 2^{11}\cdot 13\cdot 139 \) $S_6$ (as 6T16) trivial
6.0.4392960.1 x6 - 2x5 + x4 + 7x2 - 6x + 3 \( -\,2^{11}\cdot 3\cdot 5\cdot 11\cdot 13 \) $S_6$ (as 6T16) trivial
6.4.5081088.1 x6 + 2x4 - 4x3 - 6x2 + 8x - 2 \( -\,2^{11}\cdot 3\cdot 827 \) $S_6$ (as 6T16) trivial
6.0.6653952.1 x6 + 2x4 + 6x2 + 18 \( -\,2^{11}\cdot 3^{2}\cdot 19^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.6797312.1 x6 - 4x4 - 8x3 - 8x2 - 4x - 2 \( 2^{11}\cdot 3319 \) $S_6$ (as 6T16) trivial
6.2.6797312.2 x6 - 2x5 - x4 + 8x3 - 9x2 + 6x - 1 \( 2^{11}\cdot 3319 \) $S_6$ (as 6T16) trivial
6.0.7079936.1 x6 + 4x4 - 8x3 + 14x2 - 8x + 2 \( -\,2^{11}\cdot 3457 \) $S_6$ (as 6T16) trivial
6.4.7751680.1 x6 - 2x5 - 5x4 + 4x3 + 5x2 + 2x + 5 \( -\,2^{11}\cdot 5\cdot 757 \) $S_6$ (as 6T16) trivial
6.2.7796736.1 x6 - 2x5 + 3x4 - 8x3 - 5x2 - 6x - 3 \( 2^{11}\cdot 3^{4}\cdot 47 \) $S_6$ (as 6T16) trivial
6.2.7960576.2 x6 - 4x3 + 4x2 + 4x - 6 \( 2^{11}\cdot 13^{2}\cdot 23 \) $S_6$ (as 6T16) trivial
6.2.8009728.1 x6 - 2x4 - 4x3 - 4x2 - 4 \( 2^{11}\cdot 3911 \) $S_6$ (as 6T16) trivial
6.2.8108032.1 x6 - 4x4 + 8x2 - 4x - 2 \( 2^{11}\cdot 37\cdot 107 \) $S_6$ (as 6T16) trivial
6.2.8517632.1 x6 - 2x5 - 3x4 + 8x3 - x2 + 2x - 9 \( 2^{11}\cdot 4159 \) $S_6$ (as 6T16) trivial
6.0.8538112.1 x6 - 2x5 + x4 - 4x3 + 11x2 - 6x + 1 \( -\,2^{11}\cdot 11\cdot 379 \) $S_6$ (as 6T16) trivial
6.0.9193472.1 x6 + 2x4 - 2x2 + 2 \( -\,2^{11}\cdot 67^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.0.9373696.1 x6 - 4x3 + 4x + 2 \( -\,2^{11}\cdot 23\cdot 199 \) $S_6$ (as 6T16) trivial
6.2.9615360.1 x6 - 4x3 + 4x2 + 8x - 4 \( 2^{11}\cdot 3\cdot 5\cdot 313 \) $S_6$ (as 6T16) trivial
6.0.9701376.1 x6 - 2x5 + x4 - 12x3 + 35x2 - 30x + 9 \( -\,2^{11}\cdot 3\cdot 1579 \) $S_6$ (as 6T16) trivial
6.2.10483712.1 x6 - 6x4 - 4x3 + 16x2 + 8x - 12 \( 2^{11}\cdot 5119 \) $S_6$ (as 6T16) trivial
6.2.10582016.1 x6 - 4x4 - 4x3 + 2x2 + 8x + 6 \( 2^{11}\cdot 5167 \) $S_6$ (as 6T16) trivial
6.2.10647552.1 x6 - 2x5 - 5x4 + 12x3 + 13x2 - 14x - 11 \( 2^{11}\cdot 3\cdot 1733 \) $S_6$ (as 6T16) trivial
6.2.10958848.1 x6 - 2x5 + x4 - x2 - 6x - 5 \( 2^{11}\cdot 5351 \) $S_6$ (as 6T16) trivial
6.4.11143168.1 x6 - 2x5 - 5x4 + 12x3 + 3x2 - 14x + 3 \( -\,2^{11}\cdot 5441 \) $S_6$ (as 6T16) trivial
6.2.11270144.1 x6 - 2x5 - 5x4 + 8x3 + 17x2 - 10x - 11 \( 2^{11}\cdot 5503 \) $S_6$ (as 6T16) trivial
6.2.11433984.1 x6 - 2x5 + 3x4 - 4x3 + x2 - 6x + 1 \( 2^{11}\cdot 3\cdot 1861 \) $S_6$ (as 6T16) trivial
6.0.11520000.2 x6 + 4x4 + 2x2 + 2 \( -\,2^{11}\cdot 3^{2}\cdot 5^{4} \) $S_4\times C_2$ (as 6T11) trivial
6.4.11634688.1 x6 - 2x5 - 3x4 + 16x3 - 25x2 + 10x - 1 \( -\,2^{11}\cdot 13\cdot 19\cdot 23 \) $S_6$ (as 6T16) trivial
6.2.11646976.2 x6 + 4x4 - 14x2 - 94 \( 2^{11}\cdot 11^{2}\cdot 47 \) $S_4\times C_2$ (as 6T11) trivial
6.2.12138496.1 x6 - 2x5 + 3x4 - 8x3 + 5x2 - 2x + 1 \( 2^{11}\cdot 5927 \) $S_6$ (as 6T16) trivial
6.2.12449792.1 x6 - 12x3 + 8x2 + 4x + 2 \( 2^{11}\cdot 6079 \) $S_6$ (as 6T16) trivial
6.2.12711936.1 x6 - 2x5 + 3x4 - 3x2 - 2x + 1 \( 2^{11}\cdot 3\cdot 2069 \) $S_6$ (as 6T16) trivial
6.2.12875776.1 x6 - 12x3 + 4x2 + 8x - 4 \( 2^{11}\cdot 6287 \) $S_6$ (as 6T16) trivial
6.2.15022080.1 x6 - 4x4 + 10x2 - 24x + 18 \( 2^{11}\cdot 3^{2}\cdot 5\cdot 163 \) $S_6$ (as 6T16) trivial
6.0.15468544.1 x6 + 2x4 + 4x2 - 4x + 2 \( -\,2^{11}\cdot 7\cdot 13\cdot 83 \) $S_6$ (as 6T16) trivial
6.2.15529984.1 x6 - 4x4 - 8x3 - 6x2 + 2 \( 2^{11}\cdot 7583 \) $S_6$ (as 6T16) trivial
6.2.15792128.1 x6 - 2x5 + 3x4 - 8x3 + x2 - 2x + 5 \( 2^{11}\cdot 11\cdot 701 \) $S_6$ (as 6T16) trivial
6.2.15906816.1 x6 - 2x5 - x4 + 7x2 - 2x - 1 \( 2^{11}\cdot 3^{2}\cdot 863 \) $S_6$ (as 6T16) trivial
6.0.16975872.1 x6 - 2x5 - x4 + 3x2 + 6x + 3 \( -\,2^{11}\cdot 3^{3}\cdot 307 \) $S_6$ (as 6T16) trivial
6.2.17004544.3 x6 - 4x4 + 18x2 - 46 \( 2^{11}\cdot 19^{2}\cdot 23 \) $S_4\times C_2$ (as 6T11) trivial
6.2.17004544.5 x6 + 2x4 + 34x2 - 46 \( 2^{11}\cdot 19^{2}\cdot 23 \) $S_4\times C_2$ (as 6T11) trivial
6.2.17561600.2 x6 - 6x4 + 14x2 - 14 \( 2^{11}\cdot 5^{2}\cdot 7^{3} \) $S_4\times C_2$ (as 6T11) trivial
6.2.17954816.1 x6 - 2x5 + 7x4 - 8x3 + 7x2 - 2x - 1 \( 2^{11}\cdot 11\cdot 797 \) $S_6$ (as 6T16) trivial
6.4.18958336.1 x6 - 2x5 - 3x4 + 8x3 - 5x2 - 2x + 1 \( -\,2^{11}\cdot 9257 \) $S_6$ (as 6T16) trivial
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