query: Find real and imaginary parts of $(2 - u_1)(2 - u_2)...(2 - u_n)$ where $u_i$ are complex roots of 1
positive_passages.docid: 150300
positive_passages.text: Root of unity for $n+1$
negative_passages.docid: 72410
negative_passages.text: If $\alpha_1,\alpha_2,\ldots,\alpha_n$ be the roots of the equation $x^n+1$
negative_passages.docid: 71540
negative_passages.text: Real and Imaginary Parts of tan(z)
negative_passages.docid: 62878
negative_passages.text: Expressing polar complex numbers in cartesian form
negative_passages.docid: 158063
negative_passages.text: A formula for the roots of a solvable polynomial
negative_passages.docid: 40212
negative_passages.text: roots of $f(z)=z^4+8z^3+3z^2+8z+3=0$ in the right half plane
negative_passages.docid: 148330
negative_passages.text: Induction Proof for $F_{2n} = F^2_{n+1} - F^2_{n-1}$
negative_passages.docid: 32865
negative_passages.text: Finding the roots of Hypergeometric1F1[]
negative_passages.docid: 137045
negative_passages.text: The estimate of real and imaginary part of a holomorphic function
negative_passages.docid: 20305
negative_passages.text: Complex roots of $z^3 + \bar{z} = 0$
negative_passages.docid: 77349
negative_passages.text: What is the real part of $ e^{e^{i \theta}} ?$
negative_passages.docid: 58311
negative_passages.text: How to find the solution of a quadratic equation with complex coefficients?
negative_passages.docid: 56697
negative_passages.text: How to show that the given equation has at least one complex root ,a s.t |a|>12
negative_passages.docid: 43506
negative_passages.text: Contour integral of $\sqrt{z^2-1}$ on $|z| = 2$
negative_passages.docid: 23726
negative_passages.text: A closed form for $1^{2}-2^{2}+3^{2}-4^{2}+ \cdots + (-1)^{n-1}n^{2}$
negative_passages.docid: 72201
negative_passages.text: How can we plot the complex roots of an equation?
negative_passages.docid: 112334
negative_passages.text: Real roots of a polynomial of real co-efficients , with the co-efficients of $x^2 , x$ and the constant term all $1$