To download the code, type \texttt{ git clone https://alf.physik.uni\-wuerzburg.de/ALF/ALF.git } in a shell. \\
To download the tutorial including solutions type: \\\texttt{git clone https://alf.physik.uni-wuerzburg.de/ALF/ALF-Tutorial.git} again in a shell.
To download the code, type \texttt{ git clone git@git.physik.uni-wuerzburg.de:ALF/ALF\_code.git} in a shell. \\
To download the tutorial including solutions type: \\\texttt{git clone git@git.physik.uni-wuerzburg.de:ALF/ALF\_Tutorial.git} again in a shell.
\section*{Exercise 1) Testing against ED}
Run the code with the Mz choice of Hubbard Stratonovitch transformation on a four site ring, at $U/t=4$ and inverse temperature $\beta t =2$. For this set of parameters, the exact internal energy reads:
