Paper I: Typed Operator Systems, Seed Rank, and Exact Packet Coordinates

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1 \begin{tikzpicture}[x=1cm,y=1cm,>=Latex,
2  every node/.style={font=\sffamily\small},line cap=round,line join=round]
3 \node[circle,draw,minimum size=9mm,fill=white] at (1.0000,1.5000) {$e_0$};
4 \draw[->,line width=1pt] (1.5000,1.5000) -- (3.5000,1.5000);
5 \node[circle,draw,minimum size=9mm,fill=white] at (4.0000,1.5000) {$e_1$};
6 \draw[->,line width=1pt] (4.5000,1.5000) -- (6.5000,1.5000);
7 \node[circle,draw,minimum size=9mm,fill=white] at (7.0000,1.5000) {$e_2$};
8 \draw[->,black!45] (7.5000,1.5000) -- (8.6500,1.5000);
9 \node[text=black!65] at (9.0000,1.5000) {$0$};
10 \node[circle,draw,minimum size=9mm,fill=white] at (1.0000,0.0000) {$f_0$};
11 \draw[->,line width=1pt] (1.5000,0.0000) -- (3.5000,0.0000);
12 \node[circle,draw,minimum size=9mm,fill=white] at (4.0000,0.0000) {$f_1$};
13 \draw[->,line width=1pt] (4.5000,0.0000) -- (6.5000,0.0000);
14 \node[circle,draw,minimum size=9mm,fill=white] at (7.0000,0.0000) {$f_2$};
15 \draw[->,black!45] (7.5000,0.0000) -- (8.6500,0.0000);
16 \node[text=black!65] at (9.0000,0.0000) {$0$};
17 \draw[dashed,black!50] (1.0000,0.4800) -- (1.0000,1.0200);
18 \node[] at (1.0000,-0.9200) {$ae_0+af_0$};
19 \draw[dashed,black!50] (4.0000,0.4800) -- (4.0000,1.0200);
20 \node[] at (4.0000,-0.9200) {$be_1+bf_1$};
21 \draw[dashed,black!50] (7.0000,0.4800) -- (7.0000,1.0200);
22 \node[] at (7.0000,-0.9200) {$ce_2+cf_2$};
23 \node[font=\sffamily\small] at (4.0000,2.4500) {$N e_j=e_{j+1},\qquad N f_j=f_{j+1}\quad(j=0,1)$};
24 \end{tikzpicture}

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