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Weight	Degree	Include irrational	$\mathrm{ST}^0$	Maximal

Components	Component group	$\mathrm{Pr}[a_1=0]$	Second trace moment	Fourth trace moment

First $a_2$ moment

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Label	Wt	Deg	$\mathrm{dim}_{\mathbb{R}}$	$\mathrm{G}^0$	Name	$\mathrm{G}/\mathrm{G}^0$	$\mathrm{Pr}[t\!=\!0]$	$\mathrm{E}[a_1^2]$	$\mathrm{E}[a_1^4]$	$\mathrm{E}[a_1^6]$	$\mathrm{E}[a_1^8]$	$\mathrm{E}[a_1^{10}]$	$\mathrm{E}[a_1^{12}]$	$\mathrm{E}[a_2]$	$\mathrm{E}[a_2^2]$	$\mathrm{E}[a_2^3]$	$\mathrm{E}[a_2^4]$	$\mathrm{E}[a_2^5]$	$\mathrm{E}[a_2^6]$	$\mathrm{E}[a_3^2]$	$\mathrm{E}[a_3^4]$	$\mathrm{E}[a_3^6]$	Maximal	Rational	Diagonal
1.6.M.8.3a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(D_4)$	$8$	$0$	$2$	$22$	$460$	$11494$	$310044$	$310044$	$2$	$9$	$59$	$539$	$5772$	$66783$	$9$	$1388$	$320178$		✓	$[1, 2, 6, 5, 9, 40, 46, 70, 103, 46, 23, 195, 237, 544, 1056, 513, 539, 1220, 1002, 277]$

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