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Results (displaying matches 1-50 of at least 1000) Next

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
4.0.189.1 x4 - x3 + 2x + 1 \( 3^{3}\cdot 7 \) $D_{4}$ (as 4T3) 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
4.0.320.1 x4 - 2x3 + 2 \( 2^{6}\cdot 5 \) $D_{4}$ (as 4T3) 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
4.0.432.1 x4 - 3x2 + 3 \( 2^{4}\cdot 3^{3} \) $D_{4}$ (as 4T3) 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
4.2.507.1 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
4.0.605.1 x4 - x3 + x2 + x + 1 \( 5\cdot 11^{2} \) $D_{4}$ (as 4T3) 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
4.4.725.1 x4 - x3 - 3x2 + x + 1 \( 5^{2}\cdot 29 \) $D_{4}$ (as 4T3) Trivial
4.2.775.1 x4 - x3 - 3x - 1 \( -\,5^{2}\cdot 31 \) $D_{4}$ (as 4T3) 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
4.0.873.1 x4 - x3 - 4x2 + x + 7 \( 3^{2}\cdot 97 \) $D_{4}$ (as 4T3) Trivial
4.0.981.1 x4 - x3 - 4x2 + 4x + 7 \( 3^{2}\cdot 109 \) $D_{4}$ (as 4T3) Trivial
4.0.1008.1 x4 - 5x2 + 7 \( 2^{4}\cdot 3^{2}\cdot 7 \) $D_{4}$ (as 4T3) Trivial
4.0.1008.2 x4 + 5x2 + 7 \( 2^{4}\cdot 3^{2}\cdot 7 \) $D_{4}$ (as 4T3) Trivial
4.2.1024.1 x4 - 2x2 - 1 \( -\,2^{10} \) $D_{4}$ (as 4T3) Trivial
4.0.1025.1 x4 - x3 + 3x2 - 2x + 4 \( 5^{2}\cdot 41 \) $D_{4}$ (as 4T3) Trivial
4.0.1040.1 x4 - 3x2 - 2x + 5 \( 2^{4}\cdot 5\cdot 13 \) $D_{4}$ (as 4T3) Trivial
4.0.1040.2 x4 + x2 - 4x + 4 \( 2^{4}\cdot 5\cdot 13 \) $D_{4}$ (as 4T3) Trivial
4.0.1088.1 x4 - 2x3 + x2 - 2x + 3 \( 2^{6}\cdot 17 \) $D_{4}$ (as 4T3) Trivial
4.0.1088.2 x4 - 2x3 + 5x2 - 4x + 2 \( 2^{6}\cdot 17 \) $D_{4}$ (as 4T3) Trivial
4.2.1156.1 x4 - x3 - 2x2 - x + 1 \( -\,2^{2}\cdot 17^{2} \) $D_{4}$ (as 4T3) Trivial
4.0.1161.1 x4 - x3 + 6x2 - x + 7 \( 3^{3}\cdot 43 \) $D_{4}$ (as 4T3) Trivial
4.0.1168.1 x4 - x2 - 4x + 5 \( 2^{4}\cdot 73 \) $D_{4}$ (as 4T3) Trivial
4.0.1197.1 x4 - 2x3 - 4x2 + 5x + 7 \( 3^{2}\cdot 7\cdot 19 \) $D_{4}$ (as 4T3) Trivial
4.0.1197.2 x4 - x3 - 5x2 + 3x + 9 \( 3^{2}\cdot 7\cdot 19 \) $D_{4}$ (as 4T3) Trivial
4.0.1280.1 x4 - 4x2 + 5 \( 2^{8}\cdot 5 \) $D_{4}$ (as 4T3) Trivial
4.2.1323.1 x4 - x3 - 3x2 - x + 1 \( -\,3^{3}\cdot 7^{2} \) $D_{4}$ (as 4T3) Trivial
4.0.1372.1 x4 - x3 + 3x2 - 4x + 2 \( 2^{2}\cdot 7^{3} \) $D_{4}$ (as 4T3) Trivial
4.2.1375.1 x4 - x3 + x2 + 4x - 4 \( -\,5^{3}\cdot 11 \) $D_{4}$ (as 4T3) Trivial
4.0.1413.1 x4 - x3 + 7x2 - 3x + 9 \( 3^{2}\cdot 157 \) $D_{4}$ (as 4T3) Trivial
4.0.1421.1 x4 - 2x3 + 2x2 - x + 2 \( 7^{2}\cdot 29 \) $D_{4}$ (as 4T3) Trivial
4.0.1424.1 x4 - 2x3 - x2 + 2x + 5 \( 2^{4}\cdot 89 \) $D_{4}$ (as 4T3) Trivial
4.2.1472.2 x4 - 2x3 + 3x2 - 2x - 1 \( -\,2^{6}\cdot 23 \) $D_{4}$ (as 4T3) Trivial
4.2.1475.1 x4 - x3 - x2 + 5x - 5 \( -\,5^{2}\cdot 59 \) $D_{4}$ (as 4T3) Trivial
4.0.1525.1 x4 - 2x3 + 6x2 - 5x + 5 \( 5^{2}\cdot 61 \) $D_{4}$ (as 4T3) Trivial
4.0.1552.1 x4 - 2x3 - 3x2 + 4x + 5 \( 2^{4}\cdot 97 \) $D_{4}$ (as 4T3) Trivial
4.0.1568.1 x4 - x2 + 2 \( 2^{5}\cdot 7^{2} \) $D_{4}$ (as 4T3) Trivial
4.2.1600.1 x4 - 2x2 - 4 \( -\,2^{6}\cdot 5^{2} \) $D_{4}$ (as 4T3) Trivial
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