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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.3.1a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(C_3)$	$3$	$2/3$	$3$	$54$	$1215$	$30618$	$826686$	$826686$	$2$	$15$	$135$	$1377$	$15228$	$177633$	$23$	$3696$	$853742$		✓	$[1, 3, 12, 10, 15, 108, 112, 162, 270, 102, 56, 513, 612, 1443, 2820, 1341, 1401, 3228, 2640, 707]$
1.6.M.12.3a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(A_4)$	$12$	$2/3$	$1$	$14$	$305$	$7658$	$206682$	$206682$	$1$	$5$	$37$	$353$	$3831$	$44475$	$7$	$928$	$213454$		✓	$[1, 1, 4, 4, 5, 28, 30, 44, 68, 30, 16, 129, 156, 363, 708, 339, 359, 812, 664, 187]$

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