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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.4.2c	$1$	$6$	$3$	$\mathrm{U}(1)^3$	$H_{a,b}$	$4$	$0$	$4$	$42$	$670$	$13650$	$324954$	$324954$	$3$	$14$	$84$	$648$	$6048$	$64139$	$18$	$1542$	$290400$		✓	$[1, 4, 9, 6, 12, 50, 45, 60, 88, 37, 32, 210, 222, 484, 900, 434, 437, 998, 833, 228]$

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