Difference between revisions of "2024 AIME II Problems/Problem 13"
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Let <math>\omega\neq 1</math> be a 13th root of unity. Find the remainder when | Let <math>\omega\neq 1</math> be a 13th root of unity. Find the remainder when | ||
<cmath> | <cmath> | ||
Revision as of 22:17, 8 February 2024
Problem
Let 
be a 13th root of unity. Find the remainder when
![\[\prod_{k=0}^{12}(2-2\omega^k+\omega^{2k})\]](http://latex.artofproblemsolving.com/c/c/d/ccd8d560907cc70b8b51b8c189e2bbd61d7a08a8.png)
is divided by 1000.
