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Label Polynomial Discriminant Galois group Class group
6.0.27556.1 x6 - x5 + 2x3 - x + 1 \( -\,2^{2}\cdot 83^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.0.27848.1 x6 - x5 + 2x4 + 2x2 - x + 1 \( -\,2^{3}\cdot 59^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.0.30808.1 x6 - x4 - x3 + x2 + x + 1 \( -\,2^{3}\cdot 3851 \) $S_6$ (as 6T16) trivial
6.0.45508.1 x6 + x4 - x3 + 3x2 - x + 1 \( -\,2^{2}\cdot 31\cdot 367 \) $S_6$ (as 6T16) trivial
6.0.70888.1 x6 - x5 + x4 - x3 + 3x2 - 2x + 1 \( -\,2^{3}\cdot 8861 \) $S_6$ (as 6T16) trivial
6.0.81416.1 x6 - 2x5 + 3x3 - x2 - 2x + 2 \( -\,2^{3}\cdot 10177 \) $S_6$ (as 6T16) trivial
6.0.81608.1 x6 - x5 + x4 - x3 + 3x2 + 1 \( -\,2^{3}\cdot 101^{2} \) $S_6$ (as 6T16) trivial
6.2.91592.1 x6 - x5 - x - 1 \( 2^{3}\cdot 107^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.95852.1 x6 - x4 - 2x3 + x2 + 2x - 2 \( 2^{2}\cdot 31\cdot 773 \) $S_6$ (as 6T16) trivial
6.2.96172.1 x6 - x5 + 2x4 - x2 + 2x - 2 \( 2^{2}\cdot 24043 \) $S_6$ (as 6T16) trivial
6.2.98552.1 x6 - 2x2 - 2x + 1 \( 2^{3}\cdot 97\cdot 127 \) $S_6$ (as 6T16) trivial
6.0.101368.1 x6 - x5 + 2x4 - 2x3 + 3x2 + 2 \( -\,2^{3}\cdot 12671 \) $S_6$ (as 6T16) trivial
6.2.104872.1 x6 - x5 + x4 - x3 - x2 + 2x + 1 \( 2^{3}\cdot 13109 \) $S_6$ (as 6T16) trivial
6.2.106412.1 x6 - 2x5 + x4 + 3x3 - 3x2 + x + 1 \( 2^{2}\cdot 37\cdot 719 \) $S_6$ (as 6T16) trivial
6.0.111236.1 x6 - 2x4 - 3x3 + x2 + 4x + 2 \( -\,2^{2}\cdot 27809 \) $S_6$ (as 6T16) trivial
6.2.116204.1 x6 - x5 - 2x4 - 2x3 + 2x2 + 3x + 1 \( 2^{2}\cdot 11\cdot 19\cdot 139 \) $S_6$ (as 6T16) trivial
6.2.121084.1 x6 - x5 - x4 + 3x3 - x2 + 1 \( 2^{2}\cdot 30271 \) $S_6$ (as 6T16) trivial
6.0.122708.1 x6 + 2x4 - x3 + 3x2 + 2 \( -\,2^{2}\cdot 30677 \) $S_6$ (as 6T16) trivial
6.0.124136.1 x6 + x4 - 3x3 + x2 - x + 3 \( -\,2^{3}\cdot 59\cdot 263 \) $S_6$ (as 6T16) trivial
6.0.132996.1 x6 - x5 + x4 - x3 + 3x2 + 2 \( -\,2^{2}\cdot 3\cdot 11083 \) $S_6$ (as 6T16) trivial
6.2.134012.1 x6 - 2x3 - 2x2 + 2x - 1 \( 2^{2}\cdot 33503 \) $S_6$ (as 6T16) trivial
6.0.138296.1 x6 - x5 + 2x4 + 2x2 + 3x + 1 \( -\,2^{3}\cdot 59\cdot 293 \) $S_6$ (as 6T16) trivial
6.0.145976.1 x6 - 2x5 + 2x4 - 3x3 + 3x2 - 2x + 2 \( -\,2^{3}\cdot 71\cdot 257 \) $S_6$ (as 6T16) trivial
6.0.146408.1 x6 - x5 + 2x4 - 2x3 + 4x2 - 3x + 1 \( -\,2^{3}\cdot 18301 \) $S_6$ (as 6T16) trivial
6.0.151448.1 x6 - x5 - 2x3 + 2x2 + x + 1 \( -\,2^{3}\cdot 11\cdot 1721 \) $S_6$ (as 6T16) trivial
6.2.153164.1 x6 - 2x5 - 2x4 + 5x3 - x2 - 4x + 2 \( 2^{2}\cdot 11\cdot 59^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.154456.1 x6 - x5 + 2x3 - 2x2 + x + 1 \( 2^{3}\cdot 43\cdot 449 \) $S_6$ (as 6T16) trivial
6.0.158308.1 x6 - 3x5 + 4x4 - 2x3 + x + 1 \( -\,2^{2}\cdot 19\cdot 2083 \) $S_6$ (as 6T16) trivial
6.0.159028.1 x6 - x5 + 2x4 - 2x3 + 2x2 + x + 1 \( -\,2^{2}\cdot 83\cdot 479 \) $S_6$ (as 6T16) trivial
6.2.164504.1 x6 - x5 + 4x4 - 2x3 + 2x2 - 3x + 1 \( 2^{3}\cdot 20563 \) $S_6$ (as 6T16) trivial
6.2.168412.1 x6 - 2x5 + 2x4 - 3x3 + 3x2 - 2 \( 2^{2}\cdot 71\cdot 593 \) $S_6$ (as 6T16) trivial
6.0.170116.1 x6 - 2x5 + 3x4 - x3 - x2 + x + 1 \( -\,2^{2}\cdot 71\cdot 599 \) $S_6$ (as 6T16) trivial
6.2.170492.1 x6 - 2x5 + 3x3 - 3x2 + 2 \( 2^{2}\cdot 7\cdot 6089 \) $S_6$ (as 6T16) trivial
6.2.170504.1 x6 - x5 + x4 + x3 - 3x2 + 2x - 2 \( 2^{3}\cdot 21313 \) $S_6$ (as 6T16) trivial
6.2.174172.1 x6 - x5 - 2x4 + 4x3 - 3x - 1 \( 2^{2}\cdot 43543 \) $S_6$ (as 6T16) trivial
6.2.174892.1 x6 - 2x5 + x4 + x2 + 2x - 2 \( 2^{2}\cdot 23\cdot 1901 \) $S_6$ (as 6T16) trivial
6.2.176684.1 x6 - x5 - x4 + x3 + x2 - 2x - 1 \( 2^{2}\cdot 44171 \) $S_6$ (as 6T16) trivial
6.0.176836.1 x6 - x5 + 2x4 - 2x3 + 3x2 - 2x + 2 \( -\,2^{2}\cdot 11\cdot 4019 \) $S_6$ (as 6T16) trivial
6.2.177112.1 x6 - 3x5 + 2x4 - x2 + 4x - 2 \( 2^{3}\cdot 13^{2}\cdot 131 \) $S_6$ (as 6T16) trivial
6.0.177656.1 x6 - 3x5 + 5x4 - 5x3 + 5x2 - 2x + 2 \( -\,2^{3}\cdot 53\cdot 419 \) $S_6$ (as 6T16) trivial
6.0.178084.1 x6 - x5 - x4 + x3 + x2 - 2x + 3 \( -\,2^{2}\cdot 211^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.0.186712.1 x6 - 2x5 + 3x4 - 5x3 + 5x2 - x + 1 \( -\,2^{3}\cdot 23339 \) $S_6$ (as 6T16) trivial
6.0.189128.1 x6 - x5 - x4 + x3 + x2 + 1 \( -\,2^{3}\cdot 47\cdot 503 \) $S_6$ (as 6T16) trivial
6.0.198696.1 x6 - x5 - 2x4 + 4x3 + x2 - 4x + 2 \( -\,2^{3}\cdot 3\cdot 17\cdot 487 \) $S_6$ (as 6T16) trivial
6.2.198920.1 x6 - x5 + 2x3 + x2 - 2 \( 2^{3}\cdot 5\cdot 4973 \) $S_6$ (as 6T16) trivial
6.2.199004.1 x6 - x5 - 3x4 + x3 + 5x2 - 2 \( 2^{2}\cdot 13\cdot 43\cdot 89 \) $S_6$ (as 6T16) trivial
6.2.207884.1 x6 - x5 - 2x3 + 4x2 - 5x + 1 \( 2^{2}\cdot 51971 \) $S_6$ (as 6T16) trivial
6.2.212072.1 x6 + x4 - x3 + x2 + x - 1 \( 2^{3}\cdot 7^{2}\cdot 541 \) $S_6$ (as 6T16) trivial
6.2.212552.1 x6 - x5 + 2x4 - 2x2 + 3x - 1 \( 2^{3}\cdot 163^{2} \) $S_6$ (as 6T16) trivial
6.0.214088.1 x6 - x5 + 2x2 - x + 1 \( -\,2^{3}\cdot 7\cdot 3823 \) $S_6$ (as 6T16) trivial
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