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| label | wt | deg | $\mathrm{dim}_{\mathbb{R}}$ | $\mathrm{G}^0$ | name | $\mathrm{G}/\mathrm{G}^0$ | $\#\mathrm{G}/\mathrm{G^0}$ | $\mathrm{P}[t\!=\!0]$ | trace moments | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1.4.1.1.1a | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $C_1$ | $C_1$ | 1 | 0 | 1 | 0 | 8 | 0 | 96 | 0 | 1280 | 0 | 17920 | ||
| 1.4.1.2.1a | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $C_2$ | $C_2$ | 2 | 1/2 | 1 | 0 | 4 | 0 | 48 | 0 | 640 | 0 | 8960 | ||
| 1.4.1.3.1a | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $C_3$ | $C_3$ | 3 | 0 | 1 | 0 | 4 | 0 | 36 | 0 | 440 | 0 | 6020 | ||
| 1.4.1.4.1a | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $C_4$ | $C_4$ | 4 | 1/4 | 1 | 0 | 4 | 0 | 36 | 0 | 400 | 0 | 5040 | ||
| 1.4.1.6.2a | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $C_6$ | $C_6$ | 6 | 1/6 | 1 | 0 | 4 | 0 | 36 | 0 | 400 | 0 | 4900 | ||
| 1.4.1.2.1c | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $C_{2,1}$ | $C_2$ | 2 | 1/2 | 1 | 0 | 4 | 0 | 48 | 0 | 640 | 0 | 8960 | ||
| 1.4.1.4.1b | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $C_{4,1}$ | $C_4$ | 4 | 3/4 | 1 | 0 | 2 | 0 | 24 | 0 | 320 | 0 | 4480 | ||
| 1.4.1.6.2c | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $C_{6,1}$ | $C_6$ | 6 | 1/2 | 1 | 0 | 2 | 0 | 18 | 0 | 220 | 0 | 3010 | ||
| 1.4.1.4.2a | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $D_2$ | $C_2^2$ | 4 | 3/4 | 1 | 0 | 2 | 0 | 24 | 0 | 320 | 0 | 4480 | ||
| 1.4.1.6.1a | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $D_3$ | $S_3$ | 6 | 1/2 | 1 | 0 | 2 | 0 | 18 | 0 | 220 | 0 | 3010 | ||
| 1.4.1.8.3a | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $D_4$ | $D_4$ | 8 | 5/8 | 1 | 0 | 2 | 0 | 18 | 0 | 200 | 0 | 2520 | ||
| 1.4.1.12.4a | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $D_6$ | $D_6$ | 12 | 7/12 | 1 | 0 | 2 | 0 | 18 | 0 | 200 | 0 | 2450 | ||
| 1.4.1.4.2c | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $D_{2,1}$ | $C_2^2$ | 4 | 3/4 | 1 | 0 | 2 | 0 | 24 | 0 | 320 | 0 | 4480 | ||
| 1.4.1.6.1b | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $D_{3,2}$ | $S_3$ | 6 | 1/2 | 1 | 0 | 2 | 0 | 18 | 0 | 220 | 0 | 3010 | ||
| 1.4.1.8.3b | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $D_{4,1}$ | $D_4$ | 8 | 7/8 | 1 | 0 | 1 | 0 | 12 | 0 | 160 | 0 | 2240 | ||
| 1.4.1.8.3c | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $D_{4,2}$ | $D_4$ | 8 | 5/8 | 1 | 0 | 2 | 0 | 18 | 0 | 200 | 0 | 2520 | ||
| 1.4.1.12.4c | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $D_{6,1}$ | $D_6$ | 12 | 3/4 | 1 | 0 | 1 | 0 | 9 | 0 | 110 | 0 | 1505 | ||
| 1.4.1.12.4d | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $D_{6,2}$ | $D_6$ | 12 | 7/12 | 1 | 0 | 2 | 0 | 18 | 0 | 200 | 0 | 2450 | ||
| 1.4.1.2.1b | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $J(C_1)$ | $C_2$ | 2 | 1/2 | 1 | 0 | 4 | 0 | 48 | 0 | 640 | 0 | 8960 | ||
| 1.4.1.4.2b | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $J(C_2)$ | $C_2^2$ | 4 | 3/4 | 1 | 0 | 2 | 0 | 24 | 0 | 320 | 0 | 4480 | ||
| 1.4.1.6.2b | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $J(C_3)$ | $C_6$ | 6 | 1/2 | 1 | 0 | 2 | 0 | 18 | 0 | 220 | 0 | 3010 | ||
| 1.4.1.8.2a | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $J(C_4)$ | $C_2\times C_4$ | 8 | 5/8 | 1 | 0 | 2 | 0 | 18 | 0 | 200 | 0 | 2520 | ||
| 1.4.1.12.5a | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $J(C_6)$ | $C_2\times C_6$ | 12 | 7/12 | 1 | 0 | 2 | 0 | 18 | 0 | 200 | 0 | 2450 | ||
| 1.4.1.8.5a | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $J(D_2)$ | $C_2^3$ | 8 | 7/8 | 1 | 0 | 1 | 0 | 12 | 0 | 160 | 0 | 2240 | ||
| 1.4.1.12.4b | 1 | 4 | 1 | $\mathrm{U}(1)_2$ | $J(D_3)$ | $D_6$ | 12 | 3/4 | 1 | 0 | 1 | 0 | 9 | 0 | 110 | 0 | 1505 | ||
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