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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.48.33a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(T,1))$	$48$	$2/3$	$2$	$27$	$520$	$12565$	$353052$	$353052$	$2$	$9$	$59$	$534$	$5812$	$70572$	$10$	$1396$	$355400$		✓	$[1, 2, 6, 4, 10, 42, 43, 63, 100, 45, 24, 214, 258, 618, 1266, 656, 673, 1648, 1475, 438]$
1.6.N.48.33b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(T,2)$	$48$	$1/6$	$4$	$42$	$680$	$14770$	$388584$	$388584$	$2$	$11$	$76$	$661$	$6782$	$78357$	$16$	$1688$	$382900$		✓	$[1, 4, 8, 8, 13, 52, 56, 70, 116, 58, 36, 237, 300, 656, 1316, 700, 691, 1712, 1512, 492]$

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