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\begin{document}

\title{Math 101: Graduate Linear Algebra \\ Daily Homework \#22}
\date{Assigned Monday, 30 October 2017; due Wednesday, 1 November 2017}

\maketitle

\vspace{1ex}

\begin{problab}{22.1} 
Find a generator for the ideal $(85,1+13i)$ in $\Z[i]$.
\end{problab}

\begin{problab}{22.2}
Let $\omega=(-1+\sqrt{-3})/2$, so $\omega^2+\omega+1=0$.  Show that $\Z[\omega] \subseteq \C$ is Euclidean with respect to the complex norm.
\end{problab}

\end{document}