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Roots of Unity

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5th roots of unity

1, e^{\frac{2\pi i}{5}}, e^{\frac{4\pi i}{5}}, e^{\frac{6\pi i}{5}}, e^{\frac{8\pi i}{5}}

2nd roots of unity

1, -1

3rd roots of unity

1, \frac{-1 + i\sqrt{3}}{2}, \frac{-1 - i\sqrt{3}}{2}

8th roots of unity

1, e^{\frac{\pi i}{4}}, e^{\frac{2\pi i}{4}}, e^{\frac{3\pi i}{4}}, -1, e^{\frac{5\pi i}{4}}, e^{\frac{6\pi i}{4}}, e^{\frac{7\pi i}{4}}

4th roots of unity

1, i, -1, -i

7th roots of unity

1, e^{\frac{2\pi i}{7}}, e^{\frac{4\pi i}{7}}, e^{\frac{6\pi i}{7}}, e^{\frac{8\pi i}{7}}, e^{\frac{10\pi i}{7}}, e^{\frac{12\pi i}{7}}

6th roots of unity

1, e^{\frac{\pi i}{3}}, e^{\frac{2\pi i}{3}}, -1, e^{-\frac{2\pi i}{3}}, e^{-\frac{\pi i}{3}}

1st roots of unity

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