Paper XII: Patching Support, Hecke Packets, and Conditional Automorphic Completion

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1 \begin{tikzpicture}[x=1cm,y=1cm,font=\small,>=Stealth]
2 
3 \node (r) at (3,4) {$r$};
4 \node (a) at (1.8,2.8) {$a$};\node (b) at (4.5,2.8) {$b$};
5 \node (c) at (.8,1.6) {$c$};\node (d) at (2.8,1.6) {$d$};
6 \node (e) at (.8,.4) {$e_4$};\node (ee) at (.8,-.8) {$e_5,e_6,\ldots$};
7 \draw[->,line width=1.1pt] (a)--(r);\draw[->,dashed] (b)--(r);
8 \draw[->,line width=1.1pt] (c)--(a);\draw[->,dashed] (d)--(a);
9 \draw[->,line width=1.1pt] (e)--(c);\draw[->,line width=1.1pt] (ee)--(e);
10 \node[anchor=west,font=\footnotesize] at (5.4,4) {$X_1$: one fixed residual root};
11 \node[anchor=west,font=\footnotesize] at (5.4,2.8) {$X_2$: two admissible nodes};
12 \node[anchor=west,font=\footnotesize] at (5.4,1.6) {$X_3$: two admissible nodes};
13 \node[anchor=west,font=\footnotesize] at (5.4,.4) {$X_n$: one node for every $n\ge4$};
14 
15 \end{tikzpicture}

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