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Label Polynomial Discriminant Galois group Class group
3.1.23.1 x3 - x2 + 1 \( -\,23 \) $S_3$ Trivial
3.1.31.1 x3 + x - 1 \( -\,31 \) $S_3$ Trivial
3.1.44.1 x3 - x2 + x + 1 \( -\,2^{2}\cdot 11 \) $S_3$ Trivial
3.3.49.1 x3 - x2 - 2x + 1 \( 7^{2} \) $C_3$ Trivial
3.1.59.1 x3 + 2x - 1 \( -\,59 \) $S_3$ Trivial
3.1.76.1 x3 - 2x - 2 \( -\,2^{2}\cdot 19 \) $S_3$ Trivial
3.3.81.1 x3 - 3x - 1 \( 3^{4} \) $C_3$ Trivial
3.1.83.1 x3 - x2 + x - 2 \( -\,83 \) $S_3$ Trivial
3.1.87.1 x3 - x2 + 2x + 1 \( -\,3\cdot 29 \) $S_3$ Trivial
3.1.104.1 x3 - x - 2 \( -\,2^{3}\cdot 13 \) $S_3$ Trivial
3.1.107.1 x3 - x2 + 3x - 2 \( -\,107 \) $S_3$ Trivial
3.1.108.1 x3 - 2 \( -\,2^{2}\cdot 3^{3} \) $S_3$ Trivial
3.1.116.1 x3 - x2 - 2 \( -\,2^{2}\cdot 29 \) $S_3$ Trivial
3.1.135.1 x3 + 3x - 1 \( -\,3^{3}\cdot 5 \) $S_3$ Trivial
3.1.139.1 x3 - x2 + x + 2 \( -\,139 \) $S_3$ Trivial
3.1.140.1 x3 + 2x - 2 \( -\,2^{2}\cdot 5\cdot 7 \) $S_3$ Trivial
3.3.148.1 x3 - x2 - 3x + 1 \( 2^{2}\cdot 37 \) $S_3$ Trivial
3.1.152.1 x3 - x2 - 2x - 2 \( -\,2^{3}\cdot 19 \) $S_3$ Trivial
3.3.169.1 x3 - x2 - 4x - 1 \( 13^{2} \) $C_3$ Trivial
3.1.172.1 x3 - x2 - x + 3 \( -\,2^{2}\cdot 43 \) $S_3$ Trivial
3.1.175.1 x3 - x2 + 2x - 3 \( -\,5^{2}\cdot 7 \) $S_3$ Trivial
3.1.199.1 x3 - x2 + 4x - 1 \( -\,199 \) $S_3$ Trivial
3.1.200.1 x3 - x2 + 2x + 2 \( -\,2^{3}\cdot 5^{2} \) $S_3$ Trivial
3.1.204.1 x3 - x2 + x - 3 \( -\,2^{2}\cdot 3\cdot 17 \) $S_3$ Trivial
3.1.211.1 x3 - 2x - 3 \( -\,211 \) $S_3$ Trivial
3.1.212.1 x3 - x2 + 4x - 2 \( -\,2^{2}\cdot 53 \) $S_3$ Trivial
3.1.216.1 x3 + 3x - 2 \( -\,2^{3}\cdot 3^{3} \) $S_3$ Trivial
3.3.229.1 x3 - 4x - 1 \( 229 \) $S_3$ Trivial
3.1.231.1 x3 - x2 + 3 \( -\,3\cdot 7\cdot 11 \) $S_3$ Trivial
3.1.239.1 x3 - x - 3 \( -\,239 \) $S_3$ Trivial
3.1.243.1 x3 - 3 \( -\,3^{5} \) $S_3$ Trivial
3.1.244.1 x3 + x - 6 \( -\,2^{2}\cdot 61 \) $S_3$ Trivial
3.1.247.1 x3 + x - 3 \( -\,13\cdot 19 \) $S_3$ Trivial
3.1.255.1 x3 - x2 - 3 \( -\,3\cdot 5\cdot 17 \) $S_3$ Trivial
3.3.257.1 x3 - x2 - 4x + 3 \( 257 \) $S_3$ Trivial
3.1.268.1 x3 - x2 - 3x + 5 \( -\,2^{2}\cdot 67 \) $S_3$ Trivial
3.1.283.1 x3 + 4x - 1 \( -\,283 \) $S_3$ $[2]$
3.1.300.1 x3 - x2 - 3x - 3 \( -\,2^{2}\cdot 3\cdot 5^{2} \) $S_3$ Trivial
3.1.307.1 x3 - x2 + 3x + 2 \( -\,307 \) $S_3$ Trivial
3.3.316.1 x3 - x2 - 4x + 2 \( 2^{2}\cdot 79 \) $S_3$ Trivial
3.3.321.1 x3 - x2 - 4x + 1 \( 3\cdot 107 \) $S_3$ Trivial
3.1.324.1 x3 - 3x - 4 \( -\,2^{2}\cdot 3^{4} \) $S_3$ Trivial
3.1.327.1 x3 - x2 - 2x - 3 \( -\,3\cdot 109 \) $S_3$ Trivial
3.1.331.1 x3 - x2 + 3x - 4 \( -\,331 \) $S_3$ $[2]$
3.1.335.1 x3 - x2 + 4x + 1 \( -\,5\cdot 67 \) $S_3$ Trivial
3.1.339.1 x3 - x2 - x + 4 \( -\,3\cdot 113 \) $S_3$ Trivial
3.1.351.1 x3 + 3x - 3 \( -\,3^{3}\cdot 13 \) $S_3$ Trivial
3.1.356.1 x3 - x2 + x + 7 \( -\,2^{2}\cdot 89 \) $S_3$ Trivial
3.3.361.1 x3 - x2 - 6x + 7 \( 19^{2} \) $C_3$ Trivial
3.1.364.1 x3 + 4x - 2 \( -\,2^{2}\cdot 7\cdot 13 \) $S_3$ Trivial

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