Canonical selector of the $C=6$ and $C=30$ sectors, orthogonal projector certificate, and deterministic attractor law for $E_{47}$.
$K_{E47}=(C-6I)(C-30I)$
$\ker K_{E47}=E_6\oplus E_{30}$
$\dim\ker K_{E47}=25+22=47$
$P^2=P,\quad P^\dagger=P,\quad KP=0,\quad \operatorname{Tr}P=47$
$\Omega_c=47/125$
$4\Omega_c^2-4\Omega_c+14664/15625=0$
$\Gamma_\varepsilon=I-\varepsilon K_{E47}^2$, with $0<\varepsilon<1/93312$, satisfies
$\lim_{n\to\infty}\Gamma_\varepsilon^n=P_{E47}$.