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 \node[anchor=east] at (-.18,1.1) {$\alpha_j$};
3 \draw[black!35,fill=black!8] (0.0,0.76) rectangle ++(.80,.67);
4 \node at (0.4,1.095) {1};
5 \draw[black!35,fill=black!12] (0.88,0.76) rectangle ++(.80,.67);
6 \node at (1.28,1.095) {2};
7 \draw[black!35,fill=black!4] (1.76,0.76) rectangle ++(.80,.67);
8 \node at (2.16,1.095) {0};
9 \draw[black!35,fill=black!4] (2.64,0.76) rectangle ++(.80,.67);
10 \node at (3.04,1.095) {0};
11 \draw[black!35,fill=black!12] (3.52,0.76) rectangle ++(.80,.67);
12 \node at (3.92,1.095) {2};
13 \draw[black!35,fill=black!8] (4.4,0.76) rectangle ++(.80,.67);
14 \node at (4.800000000000001,1.095) {1};
15 \draw[black!35,fill=black!12] (5.28,0.76) rectangle ++(.80,.67);
16 \node at (5.680000000000001,1.095) {2};
17 \draw[black!35,fill=black!4] (6.16,0.76) rectangle ++(.80,.67);
18 \node at (6.5600000000000005,1.095) {0};
19 \draw[black!35,fill=black!4] (7.04,0.76) rectangle ++(.80,.67);
20 \node at (7.44,1.095) {0};
21 \draw[black!35,fill=black!12] (7.92,0.76) rectangle ++(.80,.67);
22 \node at (8.32,1.095) {2};
23 \node[anchor=east] at (-.18,0.34) {$\beta_j$};
24 \draw[black!35,fill=black!8] (0.0,0.0) rectangle ++(.80,.67);
25 \node at (0.4,0.335) {1};
26 \draw[black!35,fill=black!16] (0.88,0.0) rectangle ++(.80,.67);
27 \node at (1.28,0.335) {3};
28 \draw[black!35,fill=black!4] (1.76,0.0) rectangle ++(.80,.67);
29 \node at (2.16,0.335) {0};
30 \draw[black!35,fill=black!12] (2.64,0.0) rectangle ++(.80,.67);
31 \node at (3.04,0.335) {2};
32 \draw[black!35,fill=black!20] (3.52,0.0) rectangle ++(.80,.67);
33 \node at (3.92,0.335) {4};
34 \draw[black!35,fill=black!8] (4.4,0.0) rectangle ++(.80,.67);
35 \node at (4.800000000000001,0.335) {1};
36 \draw[black!35,fill=black!16] (5.28,0.0) rectangle ++(.80,.67);
37 \node at (5.680000000000001,0.335) {3};
38 \draw[black!35,fill=black!4] (6.16,0.0) rectangle ++(.80,.67);
39 \node at (6.5600000000000005,0.335) {0};
40 \draw[black!35,fill=black!12] (7.04,0.0) rectangle ++(.80,.67);
41 \node at (7.44,0.335) {2};
42 \draw[black!35,fill=black!20] (7.92,0.0) rectangle ++(.80,.67);
43 \node at (8.32,0.335) {4};
44 \node[font=\scriptsize] at (0.4,1.87) {$5^{0}$};
45 \node[font=\scriptsize] at (1.28,1.87) {$5^{1}$};
46 \node[font=\scriptsize] at (2.16,1.87) {$5^{2}$};
47 \node[font=\scriptsize] at (3.04,1.87) {$5^{3}$};
48 \node[font=\scriptsize] at (3.92,1.87) {$5^{4}$};
49 \node[font=\scriptsize] at (4.800000000000001,1.87) {$5^{5}$};
50 \node[font=\scriptsize] at (5.680000000000001,1.87) {$5^{6}$};
51 \node[font=\scriptsize] at (6.5600000000000005,1.87) {$5^{7}$};
52 \node[font=\scriptsize] at (7.44,1.87) {$5^{8}$};
53 \node[font=\scriptsize] at (8.32,1.87) {$5^{9}$};
54 \draw[dashed] (2.6,-.12)--(2.6,1.52);\node[font=\scriptsize,anchor=north] at (2.6,-.17) {cut at $5^3$};
55 \draw[dashed] (5.24,-.12)--(5.24,1.52);\node[font=\scriptsize,anchor=north] at (5.24,-.17) {cut at $5^6$};
56 \end{tikzpicture}

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