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Label Polynomial Discriminant Galois group Class group
3.1.140.1 x3 + 2x - 2 \( -\,2^{2}\cdot 5\cdot 7 \) $S_3$ (as 3T2) trivial
3.1.175.1 x3 - x2 + 2x - 3 \( -\,5^{2}\cdot 7 \) $S_3$ (as 3T2) trivial
3.1.231.1 x3 - x2 + 3 \( -\,3\cdot 7\cdot 11 \) $S_3$ (as 3T2) trivial
3.1.364.1 x3 + 4x - 2 \( -\,2^{2}\cdot 7\cdot 13 \) $S_3$ (as 3T2) trivial
3.3.469.1 x3 - x2 - 5x + 4 \( 7\cdot 67 \) $S_3$ (as 3T2) trivial
3.1.567.1 x3 - 3x - 5 \( -\,3^{4}\cdot 7 \) $S_3$ (as 3T2) trivial
3.1.679.1 x3 + x - 5 \( -\,7\cdot 97 \) $S_3$ (as 3T2) trivial
3.1.707.1 x3 + 2x - 5 \( -\,7\cdot 101 \) $S_3$ (as 3T2) trivial
3.1.728.1 x3 - x2 + 6x - 2 \( -\,2^{3}\cdot 7\cdot 13 \) $S_3$ (as 3T2) trivial
3.1.756.1 x3 - 6x - 12 \( -\,2^{2}\cdot 3^{3}\cdot 7 \) $S_3$ (as 3T2) trivial
3.3.756.1 x3 - 6x - 2 \( 2^{2}\cdot 3^{3}\cdot 7 \) $S_3$ (as 3T2) trivial
3.1.812.1 x3 - x2 - 7x - 7 \( -\,2^{2}\cdot 7\cdot 29 \) $S_3$ (as 3T2) trivial
3.1.959.1 x3 - x2 + 6x + 1 \( -\,7\cdot 137 \) $S_3$ (as 3T2) trivial
3.1.1036.1 x3 + 4x - 12 \( -\,2^{2}\cdot 7\cdot 37 \) $S_3$ (as 3T2) trivial
3.1.1099.1 x3 - x2 - x - 6 \( -\,7\cdot 157 \) $S_3$ (as 3T2) $[2]$
3.1.1267.1 x3 - x2 + 7x - 4 \( -\,7\cdot 181 \) $S_3$ (as 3T2) trivial
3.1.1295.1 x3 - x2 + 7 \( -\,5\cdot 7\cdot 37 \) $S_3$ (as 3T2) trivial
3.1.1316.1 x3 - x2 + 9x + 7 \( -\,2^{2}\cdot 7\cdot 47 \) $S_3$ (as 3T2) trivial
3.1.1351.1 x3 - x2 - 7 \( -\,7\cdot 193 \) $S_3$ (as 3T2) trivial
3.1.1407.1 x3 - x2 - 8x - 9 \( -\,3\cdot 7\cdot 67 \) $S_3$ (as 3T2) trivial
3.1.1484.1 x3 + 8x - 12 \( -\,2^{2}\cdot 7\cdot 53 \) $S_3$ (as 3T2) trivial
3.1.1491.1 x3 - x2 + 6x + 12 \( -\,3\cdot 7\cdot 71 \) $S_3$ (as 3T2) trivial
3.1.1512.1 x3 - 6x - 16 \( -\,2^{3}\cdot 3^{3}\cdot 7 \) $S_3$ (as 3T2) trivial
3.1.1547.1 x3 - x2 - x + 8 \( -\,7\cdot 13\cdot 17 \) $S_3$ (as 3T2) trivial
3.1.1603.1 x3 - 5x - 16 \( -\,7\cdot 229 \) $S_3$ (as 3T2) trivial
3.1.1687.1 x3 - 5x - 9 \( -\,7\cdot 241 \) $S_3$ (as 3T2) trivial
3.1.1708.1 x3 - x2 - 5x + 11 \( -\,2^{2}\cdot 7\cdot 61 \) $S_3$ (as 3T2) trivial
3.3.1708.1 x3 - x2 - 8x - 2 \( 2^{2}\cdot 7\cdot 61 \) $S_3$ (as 3T2) trivial
3.1.1736.1 x3 + 2x - 16 \( -\,2^{3}\cdot 7\cdot 31 \) $S_3$ (as 3T2) trivial
3.1.1743.1 x3 - x2 - 8x + 15 \( -\,3\cdot 7\cdot 83 \) $S_3$ (as 3T2) trivial
3.1.1932.1 x3 - x2 + 7x + 3 \( -\,2^{2}\cdot 3\cdot 7\cdot 23 \) $S_3$ (as 3T2) trivial
3.1.1967.1 x3 - x2 + 2x + 25 \( -\,7\cdot 281 \) $S_3$ (as 3T2) trivial
3.1.1988.1 x3 - x2 + 9x - 17 \( -\,2^{2}\cdot 7\cdot 71 \) $S_3$ (as 3T2) trivial
3.1.2023.1 x3 - x2 + 6x + 5 \( -\,7\cdot 17^{2} \) $S_3$ (as 3T2) trivial
3.1.2051.1 x3 - x2 - 7x + 14 \( -\,7\cdot 293 \) $S_3$ (as 3T2) $[2]$
3.3.2177.1 x3 - x2 - 8x + 5 \( 7\cdot 311 \) $S_3$ (as 3T2) trivial
3.1.2184.1 x3 - x2 + 13x - 9 \( -\,2^{3}\cdot 3\cdot 7\cdot 13 \) $S_3$ (as 3T2) trivial
3.1.2191.1 x3 + x - 9 \( -\,7\cdot 313 \) $S_3$ (as 3T2) $[2]$
3.1.2219.1 x3 + 2x - 9 \( -\,7\cdot 317 \) $S_3$ (as 3T2) $[2]$
3.3.2233.1 x3 - x2 - 8x + 1 \( 7\cdot 11\cdot 29 \) $S_3$ (as 3T2) trivial
3.3.2296.1 x3 - x2 - 14x - 14 \( 2^{3}\cdot 7\cdot 41 \) $S_3$ (as 3T2) trivial
3.1.2380.1 x3 - x2 - x - 9 \( -\,2^{2}\cdot 5\cdot 7\cdot 17 \) $S_3$ (as 3T2) trivial
3.1.2387.1 x3 - x2 + 6x - 20 \( -\,7\cdot 11\cdot 31 \) $S_3$ (as 3T2) trivial
3.1.2408.1 x3 - x2 + 2x - 10 \( -\,2^{3}\cdot 7\cdot 43 \) $S_3$ (as 3T2) trivial
3.3.2429.1 x3 - x2 - 14x - 4 \( 7\cdot 347 \) $S_3$ (as 3T2) trivial
3.1.2443.1 x3 + 4x - 9 \( -\,7\cdot 349 \) $S_3$ (as 3T2) $[2]$
3.1.2555.1 x3 - x2 + 14x - 4 \( -\,5\cdot 7\cdot 73 \) $S_3$ (as 3T2) trivial
3.1.2604.1 x3 - x2 + 9x - 3 \( -\,2^{2}\cdot 3\cdot 7\cdot 31 \) $S_3$ (as 3T2) trivial
3.1.2660.1 x3 - x2 + 10 \( -\,2^{2}\cdot 5\cdot 7\cdot 19 \) $S_3$ (as 3T2) trivial
3.1.2723.1 x3 + 8x - 5 \( -\,7\cdot 389 \) $S_3$ (as 3T2) trivial
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