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Label Polynomial Discriminant Galois group Class group
6.2.354304.1 x6 - 4x3 - 4x2 - 4x - 2 \( 2^{11}\cdot 173 \) $S_6$ (as 6T16) trivial
6.0.1005568.1 x6 - 2x5 + x4 + 3x2 - 2x + 1 \( -\,2^{11}\cdot 491 \) $S_6$ (as 6T16) trivial
6.2.1796096.1 x6 + 2x4 - 4x3 - 4x + 2 \( 2^{11}\cdot 877 \) $S_6$ (as 6T16) trivial
6.2.2156544.1 x6 - 2x5 + 3x4 - 3x2 + 6x - 3 \( 2^{11}\cdot 3^{4}\cdot 13 \) $S_6$ (as 6T16) trivial
6.0.2217984.3 x6 + 6x4 + 10x2 + 6 \( -\,2^{11}\cdot 3\cdot 19^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.0.2725888.2 x6 - 2x4 - 10x2 + 22 \( -\,2^{11}\cdot 11^{3} \) $S_4\times C_2$ (as 6T11) $[2]$
6.0.3495936.1 x6 - 2x5 + 5x4 - 4x3 + 3x2 + 2x + 1 \( -\,2^{11}\cdot 3\cdot 569 \) $S_6$ (as 6T16) $[3]$
6.2.4139008.1 x6 - 2x4 - 4x - 2 \( 2^{11}\cdot 43\cdot 47 \) $S_6$ (as 6T16) trivial
6.2.4417536.1 x6 - 2x4 - 4x3 - 2x2 + 2 \( 2^{11}\cdot 3\cdot 719 \) $S_6$ (as 6T16) trivial
6.2.4466688.1 x6 - 2x5 + 5x4 - 4x3 + x2 - 6x + 3 \( 2^{11}\cdot 3\cdot 727 \) $S_6$ (as 6T16) trivial
6.2.4581376.1 x6 - 2x5 - x4 + 3x2 - 2x - 1 \( 2^{11}\cdot 2237 \) $S_6$ (as 6T16) trivial
6.2.4728832.1 x6 - 2x5 + 3x4 - 4x3 + 3x2 + 2x - 1 \( 2^{11}\cdot 2309 \) $S_6$ (as 6T16) trivial
6.2.5023744.1 x6 - 2x4 - 4x3 + 8x2 - 8x + 4 \( 2^{11}\cdot 11\cdot 223 \) $S_6$ (as 6T16) trivial
6.4.5920768.1 x6 - 2x5 + 5x4 - 12x3 + 5x2 + 2x - 1 \( -\,2^{11}\cdot 7^{2}\cdot 59 \) $S_6$ (as 6T16) trivial
6.2.6400000.3 x6 - 2x5 + 5x4 - 5x2 + 10x - 5 \( 2^{11}\cdot 5^{5} \) $S_6$ (as 6T16) trivial
6.0.6608896.1 x6 - 2x5 - x4 + 7x2 - 2x + 3 \( -\,2^{11}\cdot 7\cdot 461 \) $S_6$ (as 6T16) trivial
6.0.6690816.2 x6 + 6x4 + 18x2 + 54 \( -\,2^{11}\cdot 3^{3}\cdot 11^{2} \) $S_4\times C_2$ (as 6T11) $[2]$
6.4.6903808.1 x6 - 2x5 - x4 + 8x3 - 9x2 - 6x + 5 \( -\,2^{11}\cdot 3371 \) $S_6$ (as 6T16) trivial
6.2.7186432.1 x6 - 2x4 - 18x2 - 58 \( 2^{11}\cdot 11^{2}\cdot 29 \) $S_4\times C_2$ (as 6T11) $[2]$
6.2.7464960.1 x6 + 6x4 + 6x2 - 10 \( 2^{11}\cdot 3^{6}\cdot 5 \) $S_4\times C_2$ (as 6T11) trivial
6.0.8001536.1 x6 + 4x4 - 8x3 + 8x2 - 4x + 2 \( -\,2^{11}\cdot 3907 \) $S_6$ (as 6T16) trivial
6.2.8513536.1 x6 - 2x4 - 8x3 + 8x2 + 12x - 2 \( 2^{11}\cdot 4157 \) $S_6$ (as 6T16) trivial
6.2.8513536.2 x6 - 2x5 + x4 + 8x3 + 3x2 + 2x - 1 \( 2^{11}\cdot 4157 \) $S_6$ (as 6T16) trivial
6.2.8857600.1 x6 - 2x5 - 3x4 + 4x3 + 5x2 + 2x - 9 \( 2^{11}\cdot 5^{2}\cdot 173 \) $S_6$ (as 6T16) trivial
6.0.9050112.1 x6 + 2x4 - 4x3 + 4x2 - 4x + 10 \( -\,2^{11}\cdot 3^{2}\cdot 491 \) $S_6$ (as 6T16) trivial
6.4.10426368.1 x6 - 2x5 - 3x4 + 8x3 + x2 - 10x - 1 \( -\,2^{11}\cdot 3\cdot 1697 \) $S_6$ (as 6T16) trivial
6.0.10655744.2 x6 + 12x4 + 50x2 + 86 \( -\,2^{11}\cdot 11^{2}\cdot 43 \) $S_4\times C_2$ (as 6T11) $[2]$
6.4.10672128.1 x6 - 4x4 - 4x + 2 \( -\,2^{11}\cdot 3^{3}\cdot 193 \) $S_6$ (as 6T16) trivial
6.0.11360256.3 x6 + 4x4 + 14x2 + 6 \( -\,2^{11}\cdot 3\cdot 43^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.11528192.1 x6 - 2x5 - x4 + 8x3 - 13x2 + 6x - 1 \( 2^{11}\cdot 13\cdot 433 \) $S_6$ (as 6T16) trivial
6.2.11610112.1 x6 - 4x4 - 8x3 - 4x2 + 4x + 10 \( 2^{11}\cdot 5669 \) $S_6$ (as 6T16) $[2]$
6.2.11823104.1 x6 - 2x5 + 3x4 - 4x3 + x2 + 2x - 3 \( 2^{11}\cdot 23\cdot 251 \) $S_6$ (as 6T16) trivial
6.2.12265472.1 x6 - 2x5 + 3x4 - 4x3 + 5x2 - 6x + 1 \( 2^{11}\cdot 53\cdot 113 \) $S_6$ (as 6T16) trivial
6.2.12331008.1 x6 - 2x5 + 5x4 - 4x3 + x2 + 2x - 5 \( 2^{11}\cdot 3^{3}\cdot 223 \) $S_6$ (as 6T16) trivial
6.2.12544000.2 x6 - 4x4 - 10x2 - 10 \( 2^{11}\cdot 5^{3}\cdot 7^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.12806144.1 x6 - 2x5 - 3x4 + 4x3 + 9x2 - 6x - 5 \( 2^{11}\cdot 13^{2}\cdot 37 \) $S_6$ (as 6T16) trivial
6.4.12883968.1 x6 - 2x5 - 7x4 + 16x3 + 7x2 - 22x + 3 \( -\,2^{11}\cdot 3^{3}\cdot 233 \) $S_6$ (as 6T16) trivial
6.2.13133824.2 x6 + 4x4 - 2x2 - 106 \( 2^{11}\cdot 11^{2}\cdot 53 \) $S_4\times C_2$ (as 6T11) $[2]$
6.2.14018560.2 x6 - 2x4 - 14x2 - 10 \( 2^{11}\cdot 5\cdot 37^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.14346240.2 x6 - 2x5 - 3x4 + 12x3 + 15x2 + 10x - 3 \( 2^{11}\cdot 3\cdot 5\cdot 467 \) $S_6$ (as 6T16) trivial
6.2.14706688.1 x6 - 2x5 + 3x4 - 8x3 - 3x2 - 2x - 3 \( 2^{11}\cdot 43\cdot 167 \) $S_6$ (as 6T16) trivial
6.2.15116288.2 x6 - 12x4 + 54x2 - 122 \( 2^{11}\cdot 11^{2}\cdot 61 \) $S_4\times C_2$ (as 6T11) $[2]$
6.0.15538176.1 x6 + 4x4 - 4x + 2 \( -\,2^{11}\cdot 3^{3}\cdot 281 \) $S_6$ (as 6T16) trivial
6.0.15980544.2 x6 + 4x4 + 6x2 + 6 \( -\,2^{11}\cdot 3^{3}\cdot 17^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.0.16422912.4 x6 + 6x4 + 18x2 + 22 \( -\,2^{11}\cdot 3^{6}\cdot 11 \) $S_4\times C_2$ (as 6T11) trivial
6.2.17704960.1 x6 - 2x4 - 8x3 + 8x2 - 4x - 2 \( 2^{11}\cdot 5\cdot 7\cdot 13\cdot 19 \) $S_6$ (as 6T16) trivial
6.2.18655232.1 x6 + 2x4 - 4x2 - 32x + 24 \( 2^{11}\cdot 9109 \) $S_6$ (as 6T16) trivial
6.2.18933760.2 x6 + 4x4 + 2x2 - 10 \( 2^{11}\cdot 5\cdot 43^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.19081216.2 x6 + 6x4 - 22x2 - 154 \( 2^{11}\cdot 7\cdot 11^{3} \) $S_4\times C_2$ (as 6T11) $[2]$
6.2.19343360.1 x6 - 2x5 + x4 - 9x2 + 10x - 5 \( 2^{11}\cdot 5\cdot 1889 \) $S_6$ (as 6T16) trivial
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