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Results: (displaying matches 1-20 of 1262311)

Label Polynomial Discriminant Galois group Class group
5.1.1609.1 x5 - x3 - x2 + x + 1 \( 1609 \) $S_5$ Trivial
5.1.1649.1 x5 - x4 + x2 - x + 1 \( 17\cdot 97 \) $S_5$ Trivial
5.1.1777.1 x5 - x4 + x3 - 2x2 + x - 1 \( 1777 \) $S_5$ Trivial
5.1.2209.1 x5 - 2x4 + 2x3 - x2 + 1 \( 47^{2} \) $D_5$ Trivial
5.1.2297.1 x5 - x4 + x3 - x2 - 1 \( 2297 \) $S_5$ Trivial
5.1.2617.1 x5 + x3 - 2x2 - 1 \( 2617 \) $S_5$ Trivial
5.1.2665.1 x5 - x4 + x3 - x2 + 2x - 1 \( 5\cdot 13\cdot 41 \) $S_5$ Trivial
5.1.2869.1 x5 - x - 1 \( 19\cdot 151 \) $S_5$ Trivial
5.1.3017.1 x5 - x2 + 1 \( 7\cdot 431 \) $S_5$ Trivial
5.1.3089.1 x5 - x3 + 2x - 1 \( 3089 \) $S_5$ Trivial
5.1.3233.1 x5 - x2 - 1 \( 53\cdot 61 \) $S_5$ Trivial
5.1.3369.1 x5 + x3 - x2 - x - 1 \( 3\cdot 1123 \) $S_5$ Trivial
5.1.3857.1 x5 - x4 + x3 - x2 + 1 \( 7\cdot 19\cdot 29 \) $S_5$ Trivial
5.1.3889.1 x5 - x4 + x3 + x - 1 \( 3889 \) $S_5$ Trivial
5.1.4169.1 x5 + 2x3 - x2 + 2x - 1 \( 11\cdot 379 \) $S_5$ Trivial
5.1.4261.1 x5 - 2x2 - 2x - 1 \( 4261 \) $S_5$ Trivial
5.1.4409.1 x5 - x4 + x2 + x - 1 \( 4409 \) $S_5$ Trivial
5.1.4417.1 x5 - 2x4 + 2x3 - x2 - 1 \( 7\cdot 631 \) $S_5$ Trivial
5.1.4429.1 x5 - x4 + 2x3 - x2 + 1 \( 43\cdot 103 \) $S_5$ Trivial
5.1.4432.1 x5 - x4 + 2x2 - x + 1 \( 2^{4}\cdot 277 \) $S_5$ Trivial

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