infinite_tail.tex

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

infinite_tail.tex

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1 \begin{tikzpicture}[x=1cm,y=1cm,font=\small,>=Stealth]
2 \node[anchor=east,font=\scriptsize] at (-.12,2.8500000000000005) {$m=1$};
3 \draw[black!35,fill=black!18] (0.0,2.6500000000000004) rectangle ++(.39,.39);
4 \fill (0.195,2.845) circle (.03);
5 \draw[black!35,fill=black!18] (0.47,2.6500000000000004) rectangle ++(.39,.39);
6 \fill (0.665,2.845) circle (.03);
7 \draw[black!35,fill=black!18] (0.94,2.6500000000000004) rectangle ++(.39,.39);
8 \fill (1.135,2.845) circle (.03);
9 \draw[black!35,fill=black!18] (1.41,2.6500000000000004) rectangle ++(.39,.39);
10 \fill (1.605,2.845) circle (.03);
11 \draw[black!35,fill=black!18] (1.88,2.6500000000000004) rectangle ++(.39,.39);
12 \fill (2.0749999999999997,2.845) circle (.03);
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16 \fill (3.0149999999999997,2.845) circle (.03);
17 \draw[black!35,fill=black!18] (3.29,2.6500000000000004) rectangle ++(.39,.39);
18 \fill (3.485,2.845) circle (.03);
19 \node at (3.86,2.8500000000000005) {$\cdots$};
20 \node[anchor=east,font=\scriptsize] at (-.12,2.3200000000000003) {$m=2$};
21 \draw[black!35,fill=white] (0.0,2.12) rectangle ++(.39,.39);
22 \draw[black!35,fill=black!18] (0.47,2.12) rectangle ++(.39,.39);
23 \fill (0.665,2.315) circle (.03);
24 \draw[black!35,fill=black!18] (0.94,2.12) rectangle ++(.39,.39);
25 \fill (1.135,2.315) circle (.03);
26 \draw[black!35,fill=black!18] (1.41,2.12) rectangle ++(.39,.39);
27 \fill (1.605,2.315) circle (.03);
28 \draw[black!35,fill=black!18] (1.88,2.12) rectangle ++(.39,.39);
29 \fill (2.0749999999999997,2.315) circle (.03);
30 \draw[black!35,fill=black!18] (2.3499999999999996,2.12) rectangle ++(.39,.39);
31 \fill (2.5449999999999995,2.315) circle (.03);
32 \draw[black!35,fill=black!18] (2.82,2.12) rectangle ++(.39,.39);
33 \fill (3.0149999999999997,2.315) circle (.03);
34 \draw[black!35,fill=black!18] (3.29,2.12) rectangle ++(.39,.39);
35 \fill (3.485,2.315) circle (.03);
36 \node at (3.86,2.3200000000000003) {$\cdots$};
37 \node[anchor=east,font=\scriptsize] at (-.12,1.79) {$m=3$};
38 \draw[black!35,fill=white] (0.0,1.59) rectangle ++(.39,.39);
39 \draw[black!35,fill=white] (0.47,1.59) rectangle ++(.39,.39);
40 \draw[black!35,fill=black!18] (0.94,1.59) rectangle ++(.39,.39);
41 \fill (1.135,1.7850000000000001) circle (.03);
42 \draw[black!35,fill=black!18] (1.41,1.59) rectangle ++(.39,.39);
43 \fill (1.605,1.7850000000000001) circle (.03);
44 \draw[black!35,fill=black!18] (1.88,1.59) rectangle ++(.39,.39);
45 \fill (2.0749999999999997,1.7850000000000001) circle (.03);
46 \draw[black!35,fill=black!18] (2.3499999999999996,1.59) rectangle ++(.39,.39);
47 \fill (2.5449999999999995,1.7850000000000001) circle (.03);
48 \draw[black!35,fill=black!18] (2.82,1.59) rectangle ++(.39,.39);
49 \fill (3.0149999999999997,1.7850000000000001) circle (.03);
50 \draw[black!35,fill=black!18] (3.29,1.59) rectangle ++(.39,.39);
51 \fill (3.485,1.7850000000000001) circle (.03);
52 \node at (3.86,1.79) {$\cdots$};
53 \node[anchor=east,font=\scriptsize] at (-.12,1.26) {$m=4$};
54 \draw[black!35,fill=white] (0.0,1.06) rectangle ++(.39,.39);
55 \draw[black!35,fill=white] (0.47,1.06) rectangle ++(.39,.39);
56 \draw[black!35,fill=white] (0.94,1.06) rectangle ++(.39,.39);
57 \draw[black!35,fill=black!18] (1.41,1.06) rectangle ++(.39,.39);
58 \fill (1.605,1.2550000000000001) circle (.03);
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60 \fill (2.0749999999999997,1.2550000000000001) circle (.03);
61 \draw[black!35,fill=black!18] (2.3499999999999996,1.06) rectangle ++(.39,.39);
62 \fill (2.5449999999999995,1.2550000000000001) circle (.03);
63 \draw[black!35,fill=black!18] (2.82,1.06) rectangle ++(.39,.39);
64 \fill (3.0149999999999997,1.2550000000000001) circle (.03);
65 \draw[black!35,fill=black!18] (3.29,1.06) rectangle ++(.39,.39);
66 \fill (3.485,1.2550000000000001) circle (.03);
67 \node at (3.86,1.26) {$\cdots$};
68 \node[anchor=east,font=\scriptsize] at (-.12,0.73) {$m=5$};
69 \draw[black!35,fill=white] (0.0,0.53) rectangle ++(.39,.39);
70 \draw[black!35,fill=white] (0.47,0.53) rectangle ++(.39,.39);
71 \draw[black!35,fill=white] (0.94,0.53) rectangle ++(.39,.39);
72 \draw[black!35,fill=white] (1.41,0.53) rectangle ++(.39,.39);
73 \draw[black!35,fill=black!18] (1.88,0.53) rectangle ++(.39,.39);
74 \fill (2.0749999999999997,0.7250000000000001) circle (.03);
75 \draw[black!35,fill=black!18] (2.3499999999999996,0.53) rectangle ++(.39,.39);
76 \fill (2.5449999999999995,0.7250000000000001) circle (.03);
77 \draw[black!35,fill=black!18] (2.82,0.53) rectangle ++(.39,.39);
78 \fill (3.0149999999999997,0.7250000000000001) circle (.03);
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80 \fill (3.485,0.7250000000000001) circle (.03);
81 \node at (3.86,0.73) {$\cdots$};
82 \node[anchor=east,font=\scriptsize] at (-.12,0.2) {$m=6$};
83 \draw[black!35,fill=white] (0.0,0.0) rectangle ++(.39,.39);
84 \draw[black!35,fill=white] (0.47,0.0) rectangle ++(.39,.39);
85 \draw[black!35,fill=white] (0.94,0.0) rectangle ++(.39,.39);
86 \draw[black!35,fill=white] (1.41,0.0) rectangle ++(.39,.39);
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88 \draw[black!35,fill=black!18] (2.3499999999999996,0.0) rectangle ++(.39,.39);
89 \fill (2.5449999999999995,0.195) circle (.03);
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91 \fill (3.0149999999999997,0.195) circle (.03);
92 \draw[black!35,fill=black!18] (3.29,0.0) rectangle ++(.39,.39);
93 \fill (3.485,0.195) circle (.03);
94 \node at (3.86,0.2) {$\cdots$};
95 \node[font=\scriptsize] at (0.195,3.34) {$e_1$};
96 \node[font=\scriptsize] at (0.665,3.34) {$e_2$};
97 \node[font=\scriptsize] at (1.135,3.34) {$e_3$};
98 \node[font=\scriptsize] at (1.605,3.34) {$e_4$};
99 \node[font=\scriptsize] at (2.0749999999999997,3.34) {$e_5$};
100 \node[font=\scriptsize] at (2.5449999999999995,3.34) {$e_6$};
101 \node[font=\scriptsize] at (3.0149999999999997,3.34) {$e_7$};
102 \node[font=\scriptsize] at (3.485,3.34) {$e_8$};
103 \end{tikzpicture}

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