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Label Wt Deg $\mathrm{dim}_{\mathbb{R}}$ $\mathrm{G}^0$ Name $\mathrm{G}/\mathrm{G}^0$ $\mathrm{Pr}[t\!=\!0]$ $\mathrm{E}[a_1^2]$ $\mathrm{E}[a_1^4]$ $\mathrm{E}[a_2]$ Diagonal
1.4.E.6.2a $1$ $4$ $3$ $\mathrm{SU}(2)_{2}$ $E_6$ $6$ $1/6$ $2$ $12$ $1$ $[1, 2, 3, 4, 6, 6, 6, 13, 12, 12]$
1.4.F.6.2c $1$ $4$ $1$ $\mathrm{U}(1)_{2}$ $C_6$ $6$ $1/6$ $4$ $36$ $2$ $[1, 4, 5, 12, 24, 16, 28, 73, 80, 42]$
1.6.J.6.2a $1$ $6$ $4$ $\mathrm{U}(1)\times\mathrm{SU}(2)_2$ $J(E_6,E_3)$ $6$ $1/6$ $3$ $27$ $2$ $[1, 3, 6, 5, 8, 28, 29, 34, 55, 24, 18, 103, 118, 247, 466, 221, 218, 486, 395, 107]$
1.6.L.6.2e $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(C_6,C_3)$ $6$ $1/6$ $5$ $63$ $3$ $[1, 5, 12, 9, 18, 88, 87, 116, 197, 80, 54, 429, 502, 1165, 2300, 1137, 1156, 2764, 2355, 661]$
1.6.M.12.4a $1$ $6$ $3$ $\mathrm{SU}(2)_{3}$ $M(D_6)$ $12$ $1/6$ $2$ $20$ $2$ $[1, 2, 5, 4, 8, 30, 33, 50, 70, 33, 18, 134, 162, 366, 708, 346, 364, 818, 672, 190]$
1.6.N.12.1a $1$ $6$ $1$ $\mathrm{U}(1)_{3}$ $B(3,2;2)$ $12$ $1/6$ $4$ $60$ $2$ $[1, 4, 11, 10, 18, 122, 135, 200, 364, 157, 78, 778, 976, 2406, 4962, 2584, 2636, 6558, 5836, 1734]$
1.6.N.12.2b $1$ $6$ $1$ $\mathrm{U}(1)_{3}$ $A(3,4)$ $12$ $1/6$ $6$ $90$ $3$ $[1, 6, 16, 14, 27, 156, 164, 230, 406, 170, 100, 865, 1056, 2534, 5148, 2654, 2705, 6676, 5916, 1754]$
1.6.N.12.4b $1$ $6$ $1$ $\mathrm{U}(1)_{3}$ $B(3,2)$ $12$ $1/6$ $4$ $60$ $2$ $[1, 4, 11, 14, 22, 122, 147, 212, 372, 193, 86, 778, 1032, 2414, 4962, 2660, 2656, 6678, 5896, 1906]$
1.6.N.12.5b $1$ $6$ $1$ $\mathrm{U}(1)_{3}$ $A(6,2)$ $12$ $1/6$ $6$ $90$ $3$ $[1, 6, 16, 14, 27, 152, 160, 222, 390, 174, 92, 825, 1032, 2450, 5028, 2634, 2649, 6620, 5880, 1798]$
1.6.N.48.29c $1$ $6$ $1$ $\mathrm{U}(1)_{3}$ $B(O,1)$ $48$ $1/6$ $4$ $42$ $2$ $[1, 4, 8, 8, 13, 50, 54, 67, 110, 63, 32, 220, 290, 626, 1274, 702, 675, 1712, 1507, 528]$
1.6.N.48.33b $1$ $6$ $1$ $\mathrm{U}(1)_{3}$ $B(T,2)$ $48$ $1/6$ $4$ $42$ $2$ $[1, 4, 8, 8, 13, 52, 56, 70, 116, 58, 36, 237, 300, 656, 1316, 700, 691, 1712, 1512, 492]$
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