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## Results (displaying matches 1-50 of 1323696) Next

Label Polynomial Discriminant Galois group Class group
5.1.1609.1 x5 - x3 - x2 + x + 1 $$1609$$ $S_5$ (as 5T5) Trivial
5.1.1649.1 x5 - x4 + x2 - x + 1 $$17\cdot 97$$ $S_5$ (as 5T5) Trivial
5.1.1777.1 x5 - x4 + x3 - 2x2 + x - 1 $$1777$$ $S_5$ (as 5T5) Trivial
5.1.2209.1 x5 - 2x4 + 2x3 - x2 + 1 $$47^{2}$$ $D_{5}$ (as 5T2) Trivial
5.1.2297.1 x5 - x4 + x3 - x2 - 1 $$2297$$ $S_5$ (as 5T5) Trivial
5.1.2617.1 x5 + x3 - 2x2 - 1 $$2617$$ $S_5$ (as 5T5) Trivial
5.1.2665.1 x5 - x4 + x3 - x2 + 2x - 1 $$5\cdot 13\cdot 41$$ $S_5$ (as 5T5) Trivial
5.1.2869.1 x5 - x - 1 $$19\cdot 151$$ $S_5$ (as 5T5) Trivial
5.1.3017.1 x5 - x2 + 1 $$7\cdot 431$$ $S_5$ (as 5T5) Trivial
5.1.3089.1 x5 - x3 + 2x - 1 $$3089$$ $S_5$ (as 5T5) Trivial
5.1.3233.1 x5 - x2 - 1 $$53\cdot 61$$ $S_5$ (as 5T5) Trivial
5.1.3369.1 x5 + x3 - x2 - x - 1 $$3\cdot 1123$$ $S_5$ (as 5T5) Trivial
5.1.3857.1 x5 - x4 + x3 - x2 + 1 $$7\cdot 19\cdot 29$$ $S_5$ (as 5T5) Trivial
5.1.3889.1 x5 - x4 + x3 + x - 1 $$3889$$ $S_5$ (as 5T5) Trivial
5.1.4169.1 x5 + 2x3 - x2 + 2x - 1 $$11\cdot 379$$ $S_5$ (as 5T5) Trivial
5.1.4261.1 x5 - 2x2 - 2x - 1 $$4261$$ $S_5$ (as 5T5) Trivial
5.1.4409.1 x5 - x4 + x2 + x - 1 $$4409$$ $S_5$ (as 5T5) Trivial
5.1.4417.1 x5 - 2x4 + 2x3 - x2 - 1 $$7\cdot 631$$ $S_5$ (as 5T5) Trivial
5.1.4429.1 x5 - x4 + 2x3 - x2 + 1 $$43\cdot 103$$ $S_5$ (as 5T5) Trivial
5.1.4432.1 x5 - x4 + 2x2 - x + 1 $$2^{4}\cdot 277$$ $S_5$ (as 5T5) Trivial
5.1.4477.1 x5 + x3 + x - 1 $$11^{2}\cdot 37$$ $S_5$ (as 5T5) Trivial
5.3.4511.1 x5 - x3 - 2x2 + 1 $$-\,13\cdot 347$$ $S_5$ (as 5T5) Trivial
5.1.4549.1 x5 - x4 + 2x3 - 2x2 - 1 $$4549$$ $S_5$ (as 5T5) Trivial
5.1.4597.1 x5 + x3 - 2x2 - x - 1 $$4597$$ $S_5$ (as 5T5) Trivial
5.1.4757.1 x5 - x4 + 2x3 - x2 + 2x - 1 $$67\cdot 71$$ $S_5$ (as 5T5) Trivial
5.1.4817.1 x5 - 2x4 + 2x3 - x2 + 2x - 1 $$4817$$ $S_5$ (as 5T5) Trivial
5.1.4897.1 x5 - x4 - x3 + x2 + 1 $$59\cdot 83$$ $S_5$ (as 5T5) Trivial
5.3.4903.1 x5 - x4 - x3 + 2x2 - x - 1 $$-\,4903$$ $S_5$ (as 5T5) Trivial
5.1.5025.1 x5 - x4 - x2 + x + 1 $$3\cdot 5^{2}\cdot 67$$ $S_5$ (as 5T5) Trivial
5.1.5164.1 x5 - x4 - x3 + 2x + 1 $$2^{2}\cdot 1291$$ $S_5$ (as 5T5) Trivial
5.1.5437.1 x5 - 2x4 + 2x3 - 2x2 - 1 $$5437$$ $S_5$ (as 5T5) Trivial
5.1.5501.1 x5 - 2x4 + 2x2 - x + 1 $$5501$$ $S_5$ (as 5T5) Trivial
5.3.5519.1 x5 - x4 - x3 + 3x2 - 1 $$-\,5519$$ $S_5$ (as 5T5) Trivial
5.1.5584.1 x5 - x4 + x + 1 $$2^{4}\cdot 349$$ $S_5$ (as 5T5) Trivial
5.1.5653.1 x5 - x4 + 2x - 1 $$5653$$ $S_5$ (as 5T5) Trivial
5.1.5753.1 x5 - x4 - x3 + 2x2 - x + 1 $$11\cdot 523$$ $S_5$ (as 5T5) Trivial
5.3.5783.1 x5 - 2x4 + x3 + 2x2 - 2x - 1 $$-\,5783$$ $S_5$ (as 5T5) Trivial
5.1.5864.1 x5 - x4 + x3 + 2x2 - 2x + 1 $$2^{3}\cdot 733$$ $S_5$ (as 5T5) Trivial
5.1.5913.1 x5 - x4 + 2x3 - x2 + x + 1 $$3^{4}\cdot 73$$ $S_5$ (as 5T5) Trivial
5.1.6241.1 x5 - x4 + x3 - 2x2 + 3x - 1 $$79^{2}$$ $D_{5}$ (as 5T2) Trivial
5.1.6449.1 x5 - x4 + x3 - 3x2 - 1 $$6449$$ $S_5$ (as 5T5) Trivial
5.1.6581.1 x5 - 2x2 - 1 $$6581$$ $S_5$ (as 5T5) Trivial
5.1.6757.1 x5 - x4 + 3x2 - 2x + 1 $$29\cdot 233$$ $S_5$ (as 5T5) Trivial
5.1.6793.1 x5 - x4 + x3 + x + 1 $$6793$$ $S_5$ (as 5T5) Trivial
5.3.7031.1 x5 - x3 - x2 - x + 1 $$-\,79\cdot 89$$ $S_5$ (as 5T5) Trivial
5.1.7096.1 x5 - x2 + x + 1 $$2^{3}\cdot 887$$ $S_5$ (as 5T5) Trivial
5.1.7177.1 x5 - x4 + 3x3 - x2 + 2x - 1 $$7177$$ $S_5$ (as 5T5) Trivial
5.1.7265.1 x5 - x4 + x3 + 2x2 - x + 1 $$5\cdot 1453$$ $S_5$ (as 5T5) Trivial
5.1.7333.1 x5 - 2x4 + 2x3 - 2x2 + 3x - 1 $$7333$$ $S_5$ (as 5T5) Trivial
5.3.7367.1 x5 - 2x4 + 3x2 - 2x - 1 $$-\,53\cdot 139$$ $S_5$ (as 5T5) Trivial
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