Residue and monodromy of a constant Fuchsian system (source code)

= Residue and monodromy of a constant Fuchsian system
{title2=$\Phi(z)=\exp(R\log z),\quad M=\exp(2\pi iR)$}

A <fundamental matrix> for $F'=RF/z$ on a chosen logarithm branch is $\exp(R\log z)$. A counterclockwise circuit changes the logarithm by $2\pi i$, giving the displayed <monodromy> matrix and the cyclic group it generates. Changing the solution basis conjugates the matrix. The residue eigenvalues exponentiate to the monodromy eigenvalues; the latter do not determine the former uniquely.