seed_rank.tex

Paper VII: Quantum Seed Calculus

seed_rank.tex

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1 \begin{tikzpicture}[x=1cm,y=1cm,>=Stealth,line cap=round,line join=round]
2 \path[use as bounding box] (0,-.6) rectangle (14,4.8);
3 \node[font=\small,align=center,font=\small] at (2.025,4.4) {$C_1$};
4 \path[draw=black!30,fill=black!8] (0.6,2.75) rectangle (1.55,3.7);
5 \node[font=\small,align=center,font=\small] at (1.075,3.225) {$1$};
6 \path[draw=black!30,fill=white] (1.55,2.75) rectangle (2.5,3.7);
7 \node[font=\small,align=center,font=\small] at (2.025,3.225) {$0$};
8 \path[draw=black!30,fill=white] (2.5,2.75) rectangle (3.45,3.7);
9 \node[font=\small,align=center,font=\small] at (2.975,3.225) {$0$};
10 \path[draw=black!30,fill=white] (0.6,1.8) rectangle (1.55,2.75);
11 \node[font=\small,align=center,font=\small] at (1.075,2.275) {$0$};
12 \path[draw=black!30,fill=black!8] (1.55,1.8) rectangle (2.5,2.75);
13 \node[font=\small,align=center,font=\small] at (2.025,2.275) {$1$};
14 \path[draw=black!30,fill=white] (2.5,1.8) rectangle (3.45,2.75);
15 \node[font=\small,align=center,font=\small] at (2.975,2.275) {$0$};
16 \node[font=\small,align=center,font=\small] at (6.925,4.4) {$C_2$};
17 \path[draw=black!30,fill=white] (5.5,2.75) rectangle (6.45,3.7);
18 \node[font=\small,align=center,font=\small] at (5.975,3.225) {$0$};
19 \path[draw=black!30,fill=white] (6.45,2.75) rectangle (7.4,3.7);
20 \node[font=\small,align=center,font=\small] at (6.925,3.225) {$0$};
21 \path[draw=black!30,fill=black!8] (7.4,2.75) rectangle (8.35,3.7);
22 \node[font=\small,align=center,font=\small] at (7.875,3.225) {$1$};
23 \path[draw=black!30,fill=white] (5.5,1.8) rectangle (6.45,2.75);
24 \node[font=\small,align=center,font=\small] at (5.975,2.275) {$0$};
25 \path[draw=black!30,fill=white] (6.45,1.8) rectangle (7.4,2.75);
26 \node[font=\small,align=center,font=\small] at (6.925,2.275) {$0$};
27 \path[draw=black!30,fill=white] (7.4,1.8) rectangle (8.35,2.75);
28 \node[font=\small,align=center,font=\small] at (7.875,2.275) {$0$};
29 \node[font=\small,align=center] at (11.5,3.4) {$d=2,\ m=3$};
30 \node[font=\small,align=center] at (11.5,2.35) {$\lceil m/d\rceil=2$};
31 \path[draw,fill=black!10] (1,0.45) rectangle (4.5,1.2);
32 \node[font=\small,align=center,font=\small] at (2.75,0.83) {multiplicity $1$};
33 \path[draw,fill=black!10] (5.3,0.45) rectangle (8.8,1.2);
34 \node[font=\small,align=center,font=\small] at (7.05,0.83) {multiplicity $2$};
35 \path[draw,fill=black!28] (9.6,0.45) rectangle (13.1,1.2);
36 \node[font=\small,align=center,font=\small] at (11.35,0.83) {multiplicity $3$};
37 \node[font=\small,align=center,font=\scriptsize] at (7,1.5) {The stacked rows span $\CC^3$. Their local orbits span $\CC^2\otimes\CC^3$.};
38 \end{tikzpicture}

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