primary_krylov.tex

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

primary_krylov.tex

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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 \filldraw[fill=black!78,draw=white,line width=.8pt] (0.0000,0.0000) rectangle ++(0.5400,-0.5400);
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32 \node[text=white,font=\scriptsize] at (1.3500,-1.3500) {$1$};
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40 \node[text=white,font=\scriptsize] at (0.2700,-1.8900) {$1$};
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68 \node[text=white,font=\scriptsize] at (1.3500,-2.9700) {$1$};
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70 \node[text=black!45,font=\scriptsize] at (1.8900,-2.9700) {$0$};
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74 \node[text=black!45,font=\scriptsize] at (2.9700,-2.9700) {$0$};
75 \draw[black!60,line width=.5pt] (0,0) rectangle ++(3.24,-3.24);
76 \node[font=\sffamily\bfseries\small] at (1.6200,0.4800) {Equal primary labels};
77 \filldraw[fill=black!78,draw=white,line width=.8pt] (5.0000,0.0000) rectangle ++(0.5400,-0.5400);
78 \node[text=white,font=\scriptsize] at (5.2700,-0.2700) {$1$};
79 \filldraw[fill=black!5,draw=white,line width=.8pt] (5.5400,0.0000) rectangle ++(0.5400,-0.5400);
80 \node[text=black!45,font=\scriptsize] at (5.8100,-0.2700) {$0$};
81 \filldraw[fill=black!5,draw=white,line width=.8pt] (6.0800,0.0000) rectangle ++(0.5400,-0.5400);
82 \node[text=black!45,font=\scriptsize] at (6.3500,-0.2700) {$0$};
83 \filldraw[fill=black!5,draw=white,line width=.8pt] (6.6200,0.0000) rectangle ++(0.5400,-0.5400);
84 \node[text=black!45,font=\scriptsize] at (6.8900,-0.2700) {$0$};
85 \filldraw[fill=black!5,draw=white,line width=.8pt] (7.1600,0.0000) rectangle ++(0.5400,-0.5400);
86 \node[text=black!45,font=\scriptsize] at (7.4300,-0.2700) {$0$};
87 \filldraw[fill=black!5,draw=white,line width=.8pt] (7.7000,0.0000) rectangle ++(0.5400,-0.5400);
88 \node[text=black!45,font=\scriptsize] at (7.9700,-0.2700) {$0$};
89 \filldraw[fill=black!5,draw=white,line width=.8pt] (5.0000,-0.5400) rectangle ++(0.5400,-0.5400);
90 \node[text=black!45,font=\scriptsize] at (5.2700,-0.8100) {$0$};
91 \filldraw[fill=black!78,draw=white,line width=.8pt] (5.5400,-0.5400) rectangle ++(0.5400,-0.5400);
92 \node[text=white,font=\scriptsize] at (5.8100,-0.8100) {$1$};
93 \filldraw[fill=black!5,draw=white,line width=.8pt] (6.0800,-0.5400) rectangle ++(0.5400,-0.5400);
94 \node[text=black!45,font=\scriptsize] at (6.3500,-0.8100) {$0$};
95 \filldraw[fill=black!5,draw=white,line width=.8pt] (6.6200,-0.5400) rectangle ++(0.5400,-0.5400);
96 \node[text=black!45,font=\scriptsize] at (6.8900,-0.8100) {$0$};
97 \filldraw[fill=black!5,draw=white,line width=.8pt] (7.1600,-0.5400) rectangle ++(0.5400,-0.5400);
98 \node[text=black!45,font=\scriptsize] at (7.4300,-0.8100) {$0$};
99 \filldraw[fill=black!5,draw=white,line width=.8pt] (7.7000,-0.5400) rectangle ++(0.5400,-0.5400);
100 \node[text=black!45,font=\scriptsize] at (7.9700,-0.8100) {$0$};
101 \filldraw[fill=black!5,draw=white,line width=.8pt] (5.0000,-1.0800) rectangle ++(0.5400,-0.5400);
102 \node[text=black!45,font=\scriptsize] at (5.2700,-1.3500) {$0$};
103 \filldraw[fill=black!5,draw=white,line width=.8pt] (5.5400,-1.0800) rectangle ++(0.5400,-0.5400);
104 \node[text=black!45,font=\scriptsize] at (5.8100,-1.3500) {$0$};
105 \filldraw[fill=black!78,draw=white,line width=.8pt] (6.0800,-1.0800) rectangle ++(0.5400,-0.5400);
106 \node[text=white,font=\scriptsize] at (6.3500,-1.3500) {$1$};
107 \filldraw[fill=black!5,draw=white,line width=.8pt] (6.6200,-1.0800) rectangle ++(0.5400,-0.5400);
108 \node[text=black!45,font=\scriptsize] at (6.8900,-1.3500) {$0$};
109 \filldraw[fill=black!5,draw=white,line width=.8pt] (7.1600,-1.0800) rectangle ++(0.5400,-0.5400);
110 \node[text=black!45,font=\scriptsize] at (7.4300,-1.3500) {$0$};
111 \filldraw[fill=black!5,draw=white,line width=.8pt] (7.7000,-1.0800) rectangle ++(0.5400,-0.5400);
112 \node[text=black!45,font=\scriptsize] at (7.9700,-1.3500) {$0$};
113 \filldraw[fill=black!78,draw=white,line width=.8pt] (5.0000,-1.6200) rectangle ++(0.5400,-0.5400);
114 \node[text=white,font=\scriptsize] at (5.2700,-1.8900) {$1$};
115 \filldraw[fill=black!78,draw=white,line width=.8pt] (5.5400,-1.6200) rectangle ++(0.5400,-0.5400);
116 \node[text=white,font=\scriptsize] at (5.8100,-1.8900) {$2$};
117 \filldraw[fill=black!78,draw=white,line width=.8pt] (6.0800,-1.6200) rectangle ++(0.5400,-0.5400);
118 \node[text=white,font=\scriptsize] at (6.3500,-1.8900) {$4$};
119 \filldraw[fill=black!78,draw=white,line width=.8pt] (6.6200,-1.6200) rectangle ++(0.5400,-0.5400);
120 \node[text=white,font=\scriptsize] at (6.8900,-1.8900) {$8$};
121 \filldraw[fill=black!78,draw=white,line width=.8pt] (7.1600,-1.6200) rectangle ++(0.5400,-0.5400);
122 \node[text=white,font=\scriptsize] at (7.4300,-1.8900) {$16$};
123 \filldraw[fill=black!78,draw=white,line width=.8pt] (7.7000,-1.6200) rectangle ++(0.5400,-0.5400);
124 \node[text=white,font=\scriptsize] at (7.9700,-1.8900) {$32$};
125 \filldraw[fill=black!5,draw=white,line width=.8pt] (5.0000,-2.1600) rectangle ++(0.5400,-0.5400);
126 \node[text=black!45,font=\scriptsize] at (5.2700,-2.4300) {$0$};
127 \filldraw[fill=black!78,draw=white,line width=.8pt] (5.5400,-2.1600) rectangle ++(0.5400,-0.5400);
128 \node[text=white,font=\scriptsize] at (5.8100,-2.4300) {$1$};
129 \filldraw[fill=black!78,draw=white,line width=.8pt] (6.0800,-2.1600) rectangle ++(0.5400,-0.5400);
130 \node[text=white,font=\scriptsize] at (6.3500,-2.4300) {$4$};
131 \filldraw[fill=black!78,draw=white,line width=.8pt] (6.6200,-2.1600) rectangle ++(0.5400,-0.5400);
132 \node[text=white,font=\scriptsize] at (6.8900,-2.4300) {$12$};
133 \filldraw[fill=black!78,draw=white,line width=.8pt] (7.1600,-2.1600) rectangle ++(0.5400,-0.5400);
134 \node[text=white,font=\scriptsize] at (7.4300,-2.4300) {$32$};
135 \filldraw[fill=black!78,draw=white,line width=.8pt] (7.7000,-2.1600) rectangle ++(0.5400,-0.5400);
136 \node[text=white,font=\scriptsize] at (7.9700,-2.4300) {$80$};
137 \filldraw[fill=black!5,draw=white,line width=.8pt] (5.0000,-2.7000) rectangle ++(0.5400,-0.5400);
138 \node[text=black!45,font=\scriptsize] at (5.2700,-2.9700) {$0$};
139 \filldraw[fill=black!5,draw=white,line width=.8pt] (5.5400,-2.7000) rectangle ++(0.5400,-0.5400);
140 \node[text=black!45,font=\scriptsize] at (5.8100,-2.9700) {$0$};
141 \filldraw[fill=black!78,draw=white,line width=.8pt] (6.0800,-2.7000) rectangle ++(0.5400,-0.5400);
142 \node[text=white,font=\scriptsize] at (6.3500,-2.9700) {$1$};
143 \filldraw[fill=black!78,draw=white,line width=.8pt] (6.6200,-2.7000) rectangle ++(0.5400,-0.5400);
144 \node[text=white,font=\scriptsize] at (6.8900,-2.9700) {$6$};
145 \filldraw[fill=black!78,draw=white,line width=.8pt] (7.1600,-2.7000) rectangle ++(0.5400,-0.5400);
146 \node[text=white,font=\scriptsize] at (7.4300,-2.9700) {$24$};
147 \filldraw[fill=black!78,draw=white,line width=.8pt] (7.7000,-2.7000) rectangle ++(0.5400,-0.5400);
148 \node[text=white,font=\scriptsize] at (7.9700,-2.9700) {$80$};
149 \draw[black!60,line width=.5pt] (5.0,0) rectangle ++(3.24,-3.24);
150 \node[font=\sffamily\bfseries\small] at (6.6200,0.4800) {Distinct primary labels};
151 \node[] at (1.6200,-3.8500) {Krylov rank $3$};
152 \node[] at (6.6200,-3.8500) {Krylov determinant $512$};
153 \end{tikzpicture}

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