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Results: (displaying matches 1-20 of 672184)

Label Polynomial Discriminant Galois group Class group
4.4.725.1 x4 - x3 - 3x2 + x + 1 \( 5^{2}\cdot 29 \) $D_4$ Trivial
4.4.1125.1 x4 - x3 - 4x2 + 4x + 1 \( 3^{2}\cdot 5^{3} \) $C_4$ Trivial
4.4.1600.1 x4 - 6x2 + 4 \( 2^{6}\cdot 5^{2} \) $V_4$ Trivial
4.4.1957.1 x4 - 4x2 - x + 1 \( 19\cdot 103 \) $S_4$ Trivial
4.4.2000.1 x4 - 5x2 + 5 \( 2^{4}\cdot 5^{3} \) $C_4$ Trivial
4.4.2048.1 x4 - 4x2 + 2 \( 2^{11} \) $C_4$ Trivial
4.4.2225.1 x4 - x3 - 5x2 + 2x + 4 \( 5^{2}\cdot 89 \) $D_4$ Trivial
4.4.2304.1 x4 - 4x2 + 1 \( 2^{8}\cdot 3^{2} \) $V_4$ Trivial
4.4.2525.1 x4 - 2x3 - 4x2 + 5x + 5 \( 5^{2}\cdot 101 \) $D_4$ Trivial
4.4.2624.1 x4 - 2x3 - 3x2 + 2x + 1 \( 2^{6}\cdot 41 \) $D_4$ Trivial
4.4.2777.1 x4 - x3 - 4x2 + x + 2 \( 2777 \) $S_4$ Trivial
4.4.3600.1 x4 - 2x3 - 7x2 + 8x + 1 \( 2^{4}\cdot 3^{2}\cdot 5^{2} \) $V_4$ Trivial
4.4.3981.1 x4 - x3 - 4x2 + 2x + 1 \( 3\cdot 1327 \) $S_4$ Trivial
4.4.4205.1 x4 - x3 - 5x2 - x + 1 \( 5\cdot 29^{2} \) $D_4$ Trivial
4.4.4225.1 x4 - 9x2 + 4 \( 5^{2}\cdot 13^{2} \) $V_4$ Trivial
4.4.4352.1 x4 - 6x2 - 4x + 2 \( 2^{8}\cdot 17 \) $D_4$ Trivial
4.4.4400.1 x4 - 7x2 + 11 \( 2^{4}\cdot 5^{2}\cdot 11 \) $D_4$ Trivial
4.4.4525.1 x4 - x3 - 7x2 + 3x + 9 \( 5^{2}\cdot 181 \) $D_4$ Trivial
4.4.4752.1 x4 - 2x3 - 3x2 + 4x + 1 \( 2^{4}\cdot 3^{3}\cdot 11 \) $D_4$ Trivial
4.4.4913.1 x4 - x3 - 6x2 + x + 1 \( 17^{3} \) $C_4$ Trivial

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