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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.H.3.1a	$1$	$6$	$3$	$\mathrm{U}(1)^3$	$H_{s}$	$3$	$2/3$	$2$	$30$	$620$	$14910$	$390852$	$390852$	$1$	$7$	$61$	$615$	$6741$	$78043$	$12$	$1644$	$369720$		✓	$[1, 2, 6, 6, 9, 52, 52, 68, 114, 46, 32, 247, 284, 630, 1204, 562, 569, 1320, 1070, 294]$

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