\begin{figure}[H]
{\vskip 0.5in}
{\hskip 0.9in}
\begin{graph}(19,10)(2.5,-2)
\newcommand{\node}[4]{%
\roundnode #1(#2,#3)[\graphlinecolour{1}]}

\node{Racine}{6.61875}{10}

\node{Fils}{6.61875}{8}

\node{L1n1}{6.61875}{6}

\node{L2n1}{2.455}{4}{}
\node{L2n2}{10.7825}{4}{}

\node{L3n1}{2.455}{2}{}
\node{L3n2}{8.24}{2}{}
\node{L3n3}{13.325}{2}{}

\node{L4n1}{0.66}{0}{}
\node{L4n2}{4.05}{0}{}
\node{L4n3}{8.24}{0}{}
\node{L4n4}{11.52}{0}{}
\node{L4n5}{14.91}{0}{}


\node{L5n1}{0.66}{-2}{}
\node{L5n2}{2.7}{-2}{}
\node{L5n3}{5.4}{-2}{}
\node{L5n4}{6.86}{-2}{}
\node{L5n5}{9.56}{-2}{}
\node{L5n6}{11.52}{-2}{}
\node{L5n7}{13.54}{-2}{}
\node{L5n8}{16.28}{-2}{}



\edge{Racine}{Fils}
\edgetext{Racine}{Fils}{$\left(\begin{array}{cc}1&0\\
0&1\end{array}\right)$}

\edge{Fils}{L1n1}
\edgetext{Fils}{L1n1}{$\left(\begin{array}{cc}0&1\\
1&1\end{array}\right)$}

\edge{L1n1}{L2n1}
\edge{L1n1}{L2n2}
\edgetext{L1n1}{L2n1}{$\left(\begin{array}{cc}1&1\\
1&0\end{array}\right)$}
\edgetext{L1n1}{L2n2}{$\left(\begin{array}{cc}1&1\\
1&2\end{array}\right)$}

\edge{L2n1}{L3n1}
\edge{L2n2}{L3n2}
\edge{L2n2}{L3n3}
\edgetext{L2n1}{L3n1}{$\left(\begin{array}{cc}1&0\\
2&1\end{array}\right)$}
\edgetext{L2n2}{L3n2}{$\left(\begin{array}{cc}1&2\\
0&1\end{array}\right)$}
\edgetext{L2n2}{L3n3}{$\left(\begin{array}{cc}1&2\\
2&3\end{array}\right)$}

\edge{L3n1}{L4n1}
\edge{L3n1}{L4n2}
\edge{L3n2}{L4n3}
\edge{L3n3}{L4n4}
\edge{L3n3}{L4n5}
\edgetext{L3n1}{L4n1}{$\left(\begin{array}{cc}2&1\\
1&1\end{array}\right)$}
\edgetext{L3n1}{L4n2}{$\left(\begin{array}{cc}2&1\\
3&1\end{array}\right)$}
\edgetext{L3n2}{L4n3}{$\left(\begin{array}{cc}0&1\\
1&3\end{array}\right)$}
\edgetext{L3n3}{L4n4}{$\left(\begin{array}{cc}2&3\\
1&1\end{array}\right)$}
\edgetext{L3n3}{L4n5}{$\left(\begin{array}{cc}2&3\\
3&5\end{array}\right)$}

\edge{L4n1}{L5n1}
\edge{L4n2}{L5n2}
\edge{L4n2}{L5n3}
\edge{L4n3}{L5n4}
\edge{L4n3}{L5n5}
\edge{L4n4}{L5n6}
\edge{L4n5}{L5n7}
\edge{L4n5}{L5n8}
\edgetext{L4n1}{L5n1}{\tiny $\left(\begin{array}{cc}1&1\\
3&2\end{array}\right)$}
\edgetext{L4n2}{L5n2}{\tiny $\left(\begin{array}{cc}3&1\\
1&0\end{array}\right)$}
\edgetext{L4n2}{L5n3}{\tiny $\left(\begin{array}{cc}3&1\\
5&2\end{array}\right)$}
\edgetext{L4n3}{L5n4}{\tiny $\left(\begin{array}{cc}1&3\\
1&2\end{array}\right)$}
\edgetext{L4n3}{L5n5}{\tiny $\left(\begin{array}{cc}1&3\\
1&4\end{array}\right)$}
\edgetext{L4n4}{L5n6}{\tiny $\left(\begin{array}{cc}1&1\\
3&4\end{array}\right)$}
\edgetext{L4n5}{L5n7}{\tiny $\left(\begin{array}{cc}3&5\\
1&2\end{array}\right)$}
\edgetext{L4n5}{L5n8}{\tiny $\left(\begin{array}{cc}3&5\\
5&8\end{array}\right)$}


\end{graph}

\caption{The $\SL(2,\N)$ tree}
\end{figure}