Unverified50% confidenceFactExact time
The roots of unity are the roots of the cyclotomic polynomial Φ_n(x).
1
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50%
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Long-term
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10/18/2026
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Related Claims
UnverifiedThe roots of unity form a cyclic group of order n under multiplication, and the generators are precisely the primitive roots of unity.75% similarUnverifiedA root of unity is a solution to the equation z^n = 1 in the complex field; there are exactly n of them, uniformly distributed on the unit circle in the complex plane.74% similarUnverifiedThe cyclotomic polynomial Φ_n(x) is irreducible over the field of rational numbers.67% similarUnverifiedWhen n is a prime p, the cyclotomic polynomial is Φ_p(x) = 1 + x + … + x^{p-1}.66% similarUnverified正交矩阵的逆矩阵等于其转置矩阵（U⁻¹ = Uᵀ），满足UᵀU = I65% similar
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