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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.9.2b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(3,3)$	$9$	$2/9$	$6$	$90$	$1980$	$54810$	$1694196$	$1694196$	$3$	$21$	$189$	$2061$	$25353$	$333675$	$32$	$5784$	$1743680$		✓	$[1, 6, 16, 14, 27, 164, 178, 264, 486, 204, 116, 1029, 1284, 3194, 6612, 3438, 3537, 8732, 7776, 2290]$
1.6.N.36.9a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$E(36)$	$36$	$2/9$	$2$	$18$	$420$	$12810$	$413532$	$413532$	$1$	$5$	$39$	$453$	$5931$	$80883$	$8$	$1344$	$429740$		✓	$[1, 2, 4, 6, 7, 36, 48, 70, 122, 70, 28, 253, 344, 802, 1644, 894, 889, 2236, 1972, 658]$

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