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Results: (displaying matches 1-20 of 272618)

Label Polynomial Discriminant Galois group Class group
5.5.14641.1 x5 - x4 - 4x3 + 3x2 + 3x - 1 \( 11^{4} \) $C_5$ Trivial
5.5.24217.1 x5 - 5x3 - x2 + 3x + 1 \( 61\cdot 397 \) $S_5$ Trivial
5.5.36497.1 x5 - 2x4 - 3x3 + 5x2 + x - 1 \( 36497 \) $S_5$ Trivial
5.5.38569.1 x5 - 5x3 + 4x - 1 \( 38569 \) $S_5$ Trivial
5.5.65657.1 x5 - x4 - 5x3 + 2x2 + 5x + 1 \( 65657 \) $S_5$ Trivial
5.5.70601.1 x5 - x4 - 5x3 + 2x2 + 3x - 1 \( 17\cdot 4153 \) $S_5$ Trivial
5.5.81509.1 x5 - x4 - 5x3 + 3x2 + 5x - 2 \( 81509 \) $S_5$ Trivial
5.5.81589.1 x5 - 6x3 + 8x - 1 \( 83\cdot 983 \) $S_5$ Trivial
5.5.89417.1 x5 - 6x3 - x2 + 8x + 3 \( 89417 \) $S_5$ Trivial
5.5.101833.1 x5 - x4 - 5x3 + 5x2 + 2x - 1 \( 101833 \) $S_5$ Trivial
5.5.106069.1 x5 - 2x4 - 4x3 + 7x2 + 3x - 4 \( 73\cdot 1453 \) $S_5$ Trivial
5.5.117688.1 x5 - x4 - 5x3 + 4x2 + 4x - 1 \( 2^{3}\cdot 47\cdot 313 \) $S_5$ Trivial
5.5.122821.1 x5 - 2x4 - 4x3 + 4x2 + 3x - 1 \( 263\cdot 467 \) $S_5$ Trivial
5.5.124817.1 x5 - 7x3 - 6x2 + 2x + 1 \( 7\cdot 11\cdot 1621 \) $S_5$ Trivial
5.5.126032.1 x5 - 6x3 + 6x - 2 \( 2^{4}\cdot 7877 \) $S_5$ Trivial
5.5.135076.1 x5 - x4 - 5x3 + 4x2 + 4x - 2 \( 2^{2}\cdot 33769 \) $S_5$ Trivial
5.5.138136.1 x5 - x4 - 6x3 + 3x2 + 4x - 2 \( 2^{3}\cdot 31\cdot 557 \) $S_5$ Trivial
5.5.138917.1 x5 - 6x3 - 2x2 + 3x + 1 \( 138917 \) $S_5$ Trivial
5.5.144209.1 x5 - 6x3 - x2 + 6x - 1 \( 13\cdot 11093 \) $S_5$ Trivial
5.5.147109.1 x5 - 2x4 - 4x3 + 5x2 + 3x - 2 \( 157\cdot 937 \) $S_5$ Trivial

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