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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