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[font=\sffamily\small\bfseries] at (1.6,2.35) {packet at $z=1$};
4 \node[font=\sffamily\small\bfseries] at (8.0,2.35) {packet at $z=-1$};
5 \node at (0,1.45) {$1$};\node at (1.6,1.45) {$\varepsilon$};\node at (3.2,1.45) {$0$};
6 \draw[->] (.28,1.45)--(1.32,1.45) node[midway,above,font=\scriptsize] {$H-1$};
7 \draw[->] (1.88,1.45)--(2.92,1.45) node[midway,above,font=\scriptsize] {$H-1$};
8 \node at (5.5,1.45) {$1$};\node at (7.1,1.45) {$\eta$};\node at (8.7,1.45) {$\eta^2$};\node at (10.3,1.45) {$0$};
9 \draw[->] (5.78,1.45)--(6.82,1.45) node[midway,above,font=\scriptsize] {$H+1$};
10 \draw[->] (7.38,1.45)--(8.42,1.45) node[midway,above,font=\scriptsize] {$H+1$};
11 \draw[->] (8.98,1.45)--(10.02,1.45) node[midway,above,font=\scriptsize] {$H+1$};
12 \draw[decorate,decoration={brace,mirror,amplitude=5pt}] (-.25,.85)--(1.85,.85);
13 \draw[decorate,decoration={brace,mirror,amplitude=5pt}] (5.25,.85)--(8.95,.85);
14 \node[font=\footnotesize] at (.8,.24) {two independent basis vectors};
15 \node[font=\footnotesize] at (7.1,.24) {three independent basis vectors};
16 
17 \end{tikzpicture}

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