Paper X: Universal Residual Seeds and Conditional Occupied-System Completion

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2 \path[use as bounding box] (0,-.6) rectangle (14,4.8);
3 \node[font=\small,align=center,font=\small] at (3.3,4.55) {$C$: actual $S_3$ character table};
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21 \node[font=\small,align=center,font=\small] at (4.1,1.85) {$-1$};
22 \node[font=\small,align=center,anchor=east,font=\scriptsize] at (1.95,3.45) {$1$};
23 \node[font=\small,align=center,anchor=east,font=\scriptsize] at (1.95,2.65) {$(12)$};
24 \node[font=\small,align=center,anchor=east,font=\scriptsize] at (1.95,1.85) {$(123)$};
25 \node[font=\small,align=center,font=\scriptsize] at (2.5,4.08) {trivial};
26 \node[font=\small,align=center,font=\scriptsize] at (3.3,4.08) {sign};
27 \node[font=\small,align=center,font=\scriptsize] at (4.1,4.08) {standard};
28 \node[font=\small,align=center,font=\small] at (6.55,4.55) {$\boldsymbol m$};
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35 \node[font=\small,align=center] at (7.45,2.6) {$=$};
36 \node[font=\small,align=center,font=\small] at (8.45,4.55) {$\boldsymbol b$};
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38 \node[font=\small,align=center,font=\small] at (8.45,3.45) {$4$};
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42 \node[font=\small,align=center,font=\small] at (8.45,1.85) {$1$};
43 \node[font=\small,align=center] at (11.65,3.2) {$\det C=6$};
44 \node[font=\small,align=center] at (11.65,1.95) {$C^{-1}\boldsymbol b$\\$=(2,0,1)^T$};
45 \node[font=\small,align=center,font=\footnotesize] at (7,0.2) {Class representatives are finite group elements, not a proof that suitable Frobenius primes occur.};
46 \end{tikzpicture}

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