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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.N.216.95a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(C(6,6))$	$216$	$91/108$	$1$	$15$	$310$	$7455$	$195426$	$195426$	$1$	$5$	$34$	$317$	$3396$	$39094$	$6$	$822$	$184880$		✓	$[1, 1, 4, 3, 6, 26, 27, 38, 57, 26, 16, 125, 142, 315, 602, 281, 293, 662, 544, 151]$
1.6.N.216.99a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(C(6,6))$	$216$	$91/108$	$1$	$15$	$310$	$7455$	$195426$	$195426$	$1$	$5$	$35$	$321$	$3411$	$39144$	$6$	$822$	$184880$		✓	$[1, 1, 4, 3, 6, 26, 27, 40, 57, 26, 16, 125, 142, 315, 602, 281, 299, 662, 544, 151]$

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