## Results (1-50 of 3169664 matches)

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