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Label Polynomial Discriminant Galois group Class group
3.1.175.1 x3 - x2 + 2x - 3 \( -\,5^{2}\cdot 7 \) $S_3$ (as 3T2) trivial
3.1.200.1 x3 - x2 + 2x + 2 \( -\,2^{3}\cdot 5^{2} \) $S_3$ (as 3T2) trivial
3.1.300.1 x3 - x2 - 3x - 3 \( -\,2^{2}\cdot 3\cdot 5^{2} \) $S_3$ (as 3T2) trivial
3.1.675.1 x3 - 5 \( -\,3^{3}\cdot 5^{2} \) $S_3$ (as 3T2) trivial
3.1.1075.1 x3 - x2 + 2x + 12 \( -\,5^{2}\cdot 43 \) $S_3$ (as 3T2) trivial
3.1.1175.1 x3 + 5x - 5 \( -\,5^{2}\cdot 47 \) $S_3$ (as 3T2) trivial
3.1.1300.1 x3 - x2 - 3x - 13 \( -\,2^{2}\cdot 5^{2}\cdot 13 \) $S_3$ (as 3T2) trivial
3.3.1300.1 x3 - 10x - 10 \( 2^{2}\cdot 5^{2}\cdot 13 \) $S_3$ (as 3T2) trivial
3.3.1425.1 x3 - x2 - 8x - 3 \( 3\cdot 5^{2}\cdot 19 \) $S_3$ (as 3T2) trivial
3.1.1675.1 x3 - x2 + 7x + 2 \( -\,5^{2}\cdot 67 \) $S_3$ (as 3T2) trivial
3.1.1700.1 x3 - x2 + 12x - 8 \( -\,2^{2}\cdot 5^{2}\cdot 17 \) $S_3$ (as 3T2) trivial
3.3.1825.1 x3 - x2 - 8x + 7 \( 5^{2}\cdot 73 \) $S_3$ (as 3T2) trivial
3.1.2075.1 x3 - 10x - 15 \( -\,5^{2}\cdot 83 \) $S_3$ (as 3T2) $[3]$
3.1.2075.2 x3 - x2 + 7x - 8 \( -\,5^{2}\cdot 83 \) $S_3$ (as 3T2) $[3]$
3.1.2075.3 x3 - x2 - 3x - 8 \( -\,5^{2}\cdot 83 \) $S_3$ (as 3T2) $[3]$
3.1.2200.1 x3 - 5x - 10 \( -\,2^{3}\cdot 5^{2}\cdot 11 \) $S_3$ (as 3T2) trivial
3.3.2300.1 x3 - x2 - 8x + 2 \( 2^{2}\cdot 5^{2}\cdot 23 \) $S_3$ (as 3T2) trivial
3.1.2575.1 x3 - 5x - 20 \( -\,5^{2}\cdot 103 \) $S_3$ (as 3T2) trivial
3.1.2700.1 x3 - 20 \( -\,2^{2}\cdot 3^{3}\cdot 5^{2} \) $S_3$ (as 3T2) $[3]$
3.3.2700.1 x3 - 15x - 20 \( 2^{2}\cdot 3^{3}\cdot 5^{2} \) $S_3$ (as 3T2) trivial
3.1.3075.1 x3 - x2 - 3x + 12 \( -\,3\cdot 5^{2}\cdot 41 \) $S_3$ (as 3T2) trivial
3.1.3175.1 x3 - x2 - 8x + 17 \( -\,5^{2}\cdot 127 \) $S_3$ (as 3T2) $[2]$
3.1.3300.1 x3 - x2 + 12x + 12 \( -\,2^{2}\cdot 3\cdot 5^{2}\cdot 11 \) $S_3$ (as 3T2) trivial
3.3.3325.1 x3 - 10x - 5 \( 5^{2}\cdot 7\cdot 19 \) $S_3$ (as 3T2) trivial
3.1.3575.1 x3 - x2 - 8x - 33 \( -\,5^{2}\cdot 11\cdot 13 \) $S_3$ (as 3T2) trivial
3.1.3675.1 x3 - 35 \( -\,3\cdot 5^{2}\cdot 7^{2} \) $S_3$ (as 3T2) $[3]$
3.1.3700.1 x3 + 10x - 20 \( -\,2^{2}\cdot 5^{2}\cdot 37 \) $S_3$ (as 3T2) trivial
3.1.4075.1 x3 - x2 - 13x - 18 \( -\,5^{2}\cdot 163 \) $S_3$ (as 3T2) trivial
3.1.4175.1 x3 - x2 + 2x - 13 \( -\,5^{2}\cdot 167 \) $S_3$ (as 3T2) trivial
3.1.4200.1 x3 - x2 + 2x - 38 \( -\,2^{3}\cdot 3\cdot 5^{2}\cdot 7 \) $S_3$ (as 3T2) trivial
3.1.4300.1 x3 - x2 + 7x - 13 \( -\,2^{2}\cdot 5^{2}\cdot 43 \) $S_3$ (as 3T2) $[3]$
3.1.4300.2 x3 - x2 - 13x + 27 \( -\,2^{2}\cdot 5^{2}\cdot 43 \) $S_3$ (as 3T2) $[3]$
3.1.4575.1 x3 - 15x - 45 \( -\,3\cdot 5^{2}\cdot 61 \) $S_3$ (as 3T2) trivial
3.1.4675.1 x3 + 10x - 5 \( -\,5^{2}\cdot 11\cdot 17 \) $S_3$ (as 3T2) $[4]$
3.3.4825.1 x3 - x2 - 18x - 8 \( 5^{2}\cdot 193 \) $S_3$ (as 3T2) trivial
3.1.5075.1 x3 - x2 + 2x - 28 \( -\,5^{2}\cdot 7\cdot 29 \) $S_3$ (as 3T2) trivial
3.3.5300.1 x3 - 20x - 20 \( 2^{2}\cdot 5^{2}\cdot 53 \) $S_3$ (as 3T2) trivial
3.3.5325.1 x3 - x2 - 13x - 8 \( 3\cdot 5^{2}\cdot 71 \) $S_3$ (as 3T2) trivial
3.1.5575.1 x3 - 5x - 15 \( -\,5^{2}\cdot 223 \) $S_3$ (as 3T2) trivial
3.1.5675.1 x3 - x2 + 12x + 52 \( -\,5^{2}\cdot 227 \) $S_3$ (as 3T2) $[2]$
3.1.5700.1 x3 - x2 + 17x + 7 \( -\,2^{2}\cdot 3\cdot 5^{2}\cdot 19 \) $S_3$ (as 3T2) trivial
3.1.5800.1 x3 - x2 - 8x - 28 \( -\,2^{3}\cdot 5^{2}\cdot 29 \) $S_3$ (as 3T2) trivial
3.3.5925.1 x3 - x2 - 18x + 12 \( 3\cdot 5^{2}\cdot 79 \) $S_3$ (as 3T2) trivial
3.1.6075.1 x3 - 45 \( -\,3^{5}\cdot 5^{2} \) $S_3$ (as 3T2) trivial
3.1.6075.2 x3 - 15 \( -\,3^{5}\cdot 5^{2} \) $S_3$ (as 3T2) $[2]$
3.1.6200.1 x3 + 5x - 30 \( -\,2^{3}\cdot 5^{2}\cdot 31 \) $S_3$ (as 3T2) trivial
3.1.6575.1 x3 + 5x - 15 \( -\,5^{2}\cdot 263 \) $S_3$ (as 3T2) trivial
3.1.6675.1 x3 - x2 + 7x + 12 \( -\,3\cdot 5^{2}\cdot 89 \) $S_3$ (as 3T2) trivial
3.1.6700.1 x3 - x2 - 3x + 17 \( -\,2^{2}\cdot 5^{2}\cdot 67 \) $S_3$ (as 3T2) $[3]$
3.1.6700.2 x3 + 10x - 10 \( -\,2^{2}\cdot 5^{2}\cdot 67 \) $S_3$ (as 3T2) $[6]$
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