Mark Bell
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248
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 Jun 1 awarded Scholar Jun 1 accepted Maximal order of elements of $\textrm{SL}(n, \mathbb{Z})$ Jun 1 awarded Curious May 31 comment Maximal order of elements of $\textrm{SL}(n, \mathbb{Z})$ Does this work in the n=2 case? The characteristic polynomial of the matrix {{1, -1}, {1, 0}} (which has order 6) is $\Phi_1 \Phi_1$ so it looks to me like you've just shown that this matrix has order at most 1. Am I missing something here? May 31 asked Maximal order of elements of $\textrm{SL}(n, \mathbb{Z})$ May 18 awarded Yearling May 14 answered Number of complex roots of a degree 6 polynomial Dec 16 awarded Caucus Jan 7 awarded Editor Jan 7 revised Minimal polynomial of eigenvector entries typo Jan 4 comment Minimal polynomial of eigenvector entries In fact I would be happy knowing just an upper bound on the height of v_i, that is the maximum of the absolute value of the coefficients of the minimal polynomial of v_i. Jan 3 comment Minimal polynomial of eigenvector entries I did know that, but I really need an explicit polynomial of which v_i is a root. Jan 3 asked Minimal polynomial of eigenvector entries Apr 11 answered Random mixing of the space of triangulations of a surface Jan 9 awarded Teacher Jan 8 awarded Supporter Jan 8 answered multiple xor (sum of parities) Dec 8 comment Determine direction of eigenvector But computing the eigenvectors of $A$ requires finding the roots of the characteristic polynomial, and there is no closed expression for the roots of high degree polynomials. Dec 8 comment Determine direction of eigenvector A vector $v$ is non-negative if each entry of $v$ is non-negative, this is written $v \geq 0$. Dec 8 asked Determine direction of eigenvector