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E0 CITIZEN · SPECTRAL LINE
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$\mathcal Q[\mathsf{Polynomial\ Selector}\mid K:=(C-6I)(C-30I);\operatorname{End}(\Sigma);K|_{V_J}=0\iff J\in\{2,5\};E0;\varnothing]$
$K|{V_J}=\bigl(J(J+1)-6\bigr)\bigl(J(J+1)-30\bigr)I{V_J}.$
Route: Spectral Selector → E47 Terminal
Evidence: E0 exact
Boundary: Selector roots are $6$ and $30$.