## Results (1-50 of 3170749 matches)

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Label Polynomial Discriminant Galois group Class group
4.0.117.1 x4 - x3 - x2 + x + 1 $3^{2}\cdot 13$ $D_{4}$ (as 4T3) trivial
4.0.125.1 x4 - x3 + x2 - x + 1 $5^{3}$ $C_4$ (as 4T1) trivial
4.0.144.1 x4 - x2 + 1 $2^{4}\cdot 3^{2}$ $C_2^2$ (as 4T2) trivial
4.0.189.1 x4 - x3 + 2x + 1 $3^{3}\cdot 7$ $D_{4}$ (as 4T3) trivial
4.0.225.1 x4 - x3 + 2x2 + x + 1 $3^{2}\cdot 5^{2}$ $C_2^2$ (as 4T2) trivial
4.0.229.1 x4 - x + 1 $229$ $S_4$ (as 4T5) trivial
4.0.256.1 x4 + 1 $2^{8}$ $C_2^2$ (as 4T2) trivial
4.0.257.1 x4 + x2 - x + 1 $257$ $S_4$ (as 4T5) trivial
4.0.272.1 x4 + x2 - 2x + 1 $2^{4}\cdot 17$ $D_{4}$ (as 4T3) trivial
4.2.275.1 x4 - x3 + 2x - 1 $-\,5^{2}\cdot 11$ $D_{4}$ (as 4T3) trivial
4.2.283.1 x4 - x - 1 $-\,283$ $S_4$ (as 4T5) trivial
4.0.320.1 x4 - 2x3 + 2 $2^{6}\cdot 5$ $D_{4}$ (as 4T3) trivial
4.2.331.1 x4 - x3 + x2 + x - 1 $-\,331$ $S_4$ (as 4T5) trivial
4.0.333.1 x4 - x3 - 2x2 + 3 $3^{2}\cdot 37$ $D_{4}$ (as 4T3) trivial
4.0.392.1 x4 - x3 + x + 1 $2^{3}\cdot 7^{2}$ $D_{4}$ (as 4T3) trivial
4.2.400.1 x4 - x2 - 1 $-\,2^{4}\cdot 5^{2}$ $D_{4}$ (as 4T3) trivial
4.0.400.1 x4 + 3x2 + 1 $2^{4}\cdot 5^{2}$ $C_2^2$ (as 4T2) trivial
4.0.432.1 x4 - 3x2 + 3 $2^{4}\cdot 3^{3}$ $D_{4}$ (as 4T3) trivial
4.0.441.1 x4 - x3 - x2 - 2x + 4 $3^{2}\cdot 7^{2}$ $C_2^2$ (as 4T2) trivial
4.2.448.1 x4 - 2x3 + x2 - 2x + 1 $-\,2^{6}\cdot 7$ $D_{4}$ (as 4T3) trivial
4.2.475.1 x4 - 2x3 + 2x2 - x - 1 $-\,5^{2}\cdot 19$ $D_{4}$ (as 4T3) trivial
4.2.491.1 x4 - x3 - x2 + 3x - 1 $-\,491$ $S_4$ (as 4T5) trivial
4.2.507.1 x4 - x3 - x2 - x + 1 $-\,3\cdot 13^{2}$ $D_{4}$ (as 4T3) trivial
4.0.512.1 x4 - 2x2 + 2 $2^{9}$ $D_{4}$ (as 4T3) trivial
4.0.513.1 x4 - x3 - 3x2 + 2x + 4 $3^{3}\cdot 19$ $D_{4}$ (as 4T3) trivial
4.0.549.1 x4 - 2x3 - 2x2 + 3x + 3 $3^{2}\cdot 61$ $D_{4}$ (as 4T3) trivial
4.2.563.1 x4 - x3 + x2 - x - 1 $-\,563$ $S_4$ (as 4T5) trivial
4.0.576.1 x4 - 2x2 + 4 $2^{6}\cdot 3^{2}$ $C_2^2$ (as 4T2) trivial
4.0.576.2 x4 + 2x2 + 4 $2^{6}\cdot 3^{2}$ $C_2^2$ (as 4T2) trivial
4.0.592.1 x4 + 2x2 - 2x + 1 $2^{4}\cdot 37$ $S_4$ (as 4T5) trivial
4.0.605.1 x4 - x3 + x2 + x + 1 $5\cdot 11^{2}$ $D_{4}$ (as 4T3) trivial
4.2.643.1 x4 - x3 - 2x + 1 $-\,643$ $S_4$ (as 4T5) trivial
4.0.656.1 x4 - 2x3 - x2 + 2x + 2 $2^{4}\cdot 41$ $D_{4}$ (as 4T3) trivial
4.0.657.1 x4 - x3 + 5x2 - 2x + 4 $3^{2}\cdot 73$ $D_{4}$ (as 4T3) trivial
4.2.688.1 x4 - 2x - 1 $-\,2^{4}\cdot 43$ $S_4$ (as 4T5) trivial
4.0.697.1 x4 - x3 + 2x2 - x + 2 $17\cdot 41$ $S_4$ (as 4T5) trivial
4.4.725.1 x4 - x3 - 3x2 + x + 1 $5^{2}\cdot 29$ $D_{4}$ (as 4T3) trivial
4.2.731.1 x4 - x3 + 2x2 - 1 $-\,17\cdot 43$ $S_4$ (as 4T5) trivial
4.2.751.1 x4 - 2x3 + x2 - x - 1 $-\,751$ $S_4$ (as 4T5) trivial
4.0.761.1 x4 - x3 + x2 + 2x + 1 $761$ $S_4$ (as 4T5) trivial
4.2.775.1 x4 - x3 - 3x - 1 $-\,5^{2}\cdot 31$ $D_{4}$ (as 4T3) trivial
4.0.784.1 x4 - 3x2 + 4 $2^{4}\cdot 7^{2}$ $C_2^2$ (as 4T2) trivial
4.0.788.1 x4 - x3 + 2x2 - 2x + 2 $2^{2}\cdot 197$ $S_4$ (as 4T5) trivial
4.0.832.1 x4 - 2x3 - 2x + 5 $2^{6}\cdot 13$ $D_{4}$ (as 4T3) trivial
4.0.837.1 x4 - x3 - 3x2 - x + 7 $3^{3}\cdot 31$ $D_{4}$ (as 4T3) trivial
4.2.848.1 x4 - x2 - 2x + 1 $-\,2^{4}\cdot 53$ $S_4$ (as 4T5) trivial
4.0.873.1 x4 - x3 - 4x2 + x + 7 $3^{2}\cdot 97$ $D_{4}$ (as 4T3) trivial
4.0.892.1 x4 - x3 - x2 + 2 $2^{2}\cdot 223$ $S_4$ (as 4T5) trivial
4.2.976.1 x4 - 2x3 + 3x2 - 1 $-\,2^{4}\cdot 61$ $S_4$ (as 4T5) trivial
4.0.981.1 x4 - x3 - 4x2 + 4x + 7 $3^{2}\cdot 109$ $D_{4}$ (as 4T3) trivial
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