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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
1.6.L.2.1a $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(J(C_1),C_1)$ $2$ $1/2$ $5$ $99$ $2$ $[1, 5, 19, 15, 31, 208, 224, 320, 561, 231, 132, 1222, 1462, 3449, 6848, 3367, 3434, 8250, 7018, 1953]$
1.6.L.2.1b $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_1(J(C_1))$ $2$ $0$ $6$ $102$ $2$ $[1, 6, 19, 24, 36, 208, 239, 340, 586, 291, 142, 1222, 1552, 3462, 6848, 3484, 3479, 8500, 7153, 2278]$
1.6.L.4.1a $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(C_{4,1},C_2)$ $4$ $1/2$ $3$ $51$ $2$ $[1, 3, 9, 9, 17, 104, 114, 162, 283, 119, 68, 610, 742, 1727, 3424, 1697, 1720, 4146, 3512, 1003]$
1.6.L.4.1b $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_1(C_{4,1})$ $4$ $0$ $4$ $54$ $2$ $[1, 4, 9, 10, 18, 104, 117, 162, 284, 119, 70, 610, 744, 1728, 3424, 1698, 1721, 4148, 3515, 1004]$
1.6.L.4.2a $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(D_2,C_2)$ $4$ $1/2$ $3$ $51$ $2$ $[1, 3, 10, 9, 18, 104, 115, 166, 283, 122, 68, 611, 742, 1727, 3424, 1697, 1726, 4146, 3517, 1003]$
1.6.L.4.2b $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(J(C_2),J(C_1))$ $4$ $1/2$ $3$ $51$ $2$ $[1, 3, 11, 12, 21, 104, 121, 181, 293, 151, 71, 614, 776, 1731, 3424, 1742, 1763, 4250, 3588, 1139]$
1.6.L.4.2c $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(J(C_2),C_2)$ $4$ $1/2$ $3$ $51$ $2$ $[1, 3, 11, 9, 19, 104, 116, 172, 283, 127, 68, 614, 742, 1727, 3424, 1697, 1742, 4146, 3530, 1003]$
1.6.L.4.2d $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(J(C_2),C_{2,1})$ $4$ $1/2$ $3$ $51$ $2$ $[1, 3, 11, 8, 17, 104, 113, 165, 281, 119, 67, 614, 732, 1727, 3424, 1686, 1727, 4126, 3516, 979]$
1.6.L.4.2e $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_1(D_2)$ $4$ $0$ $4$ $54$ $2$ $[1, 4, 10, 12, 19, 104, 120, 168, 288, 134, 72, 611, 764, 1732, 3424, 1724, 1729, 4188, 3536, 1056]$
1.6.L.4.2f $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_1(J(C_2))$ $4$ $0$ $4$ $54$ $2$ $[1, 4, 11, 14, 20, 104, 123, 176, 296, 155, 74, 614, 788, 1736, 3424, 1758, 1751, 4272, 3593, 1168]$
1.6.L.4.2g $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_2(J(C_1))$ $4$ $1/4$ $5$ $75$ $2$ $[1, 5, 15, 14, 25, 124, 129, 181, 295, 151, 87, 662, 792, 1753, 3424, 1764, 1751, 4266, 3648, 1161]$
1.6.L.6.1a $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(D_3,C_3)$ $6$ $1/2$ $3$ $45$ $2$ $[1, 3, 9, 7, 15, 78, 82, 116, 195, 81, 50, 420, 498, 1161, 2300, 1133, 1157, 2760, 2349, 657]$
1.6.L.6.1b $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_1(D_3)$ $6$ $0$ $4$ $48$ $2$ $[1, 4, 9, 10, 16, 78, 87, 118, 200, 93, 54, 420, 520, 1166, 2300, 1160, 1160, 2802, 2368, 710]$
1.6.L.6.2a $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(J(C_3),C_3)$ $6$ $1/2$ $3$ $45$ $2$ $[1, 3, 9, 7, 15, 78, 82, 114, 195, 81, 50, 420, 498, 1161, 2300, 1133, 1152, 2760, 2350, 657]$
1.6.L.6.2b $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(C_{6,1},C_3)$ $6$ $1/2$ $3$ $45$ $2$ $[1, 3, 9, 7, 15, 78, 82, 118, 195, 81, 50, 420, 498, 1161, 2300, 1133, 1164, 2760, 2350, 657]$
1.6.L.6.2c $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_1(J(C_3))$ $6$ $0$ $4$ $48$ $2$ $[1, 4, 9, 10, 16, 78, 87, 120, 204, 101, 54, 420, 528, 1166, 2300, 1172, 1167, 2844, 2395, 766]$
1.6.L.6.2d $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_1(C_{6,1})$ $6$ $0$ $4$ $48$ $2$ $[1, 4, 9, 10, 16, 78, 87, 116, 196, 85, 54, 420, 512, 1166, 2300, 1148, 1155, 2764, 2347, 662]$
1.6.L.8.2a $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(J(C_4),C_{4,1})$ $8$ $1/4$ $3$ $33$ $2$ $[1, 3, 7, 6, 11, 54, 61, 87, 143, 65, 35, 308, 372, 867, 1712, 852, 873, 2074, 1770, 505]$
1.6.L.8.2b $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(J(C_4),J(C_2))$ $8$ $1/4$ $3$ $33$ $2$ $[1, 3, 7, 8, 11, 54, 63, 89, 149, 79, 37, 308, 394, 871, 1712, 882, 877, 2136, 1800, 587]$
1.6.L.8.2c $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_2(C_{4,1})$ $8$ $3/8$ $3$ $39$ $2$ $[1, 3, 7, 6, 13, 62, 63, 87, 143, 61, 43, 330, 380, 875, 1712, 860, 867, 2082, 1790, 513]$
1.6.L.8.2d $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(J(C_4),C_4)$ $8$ $1/2$ $3$ $45$ $2$ $[1, 3, 9, 7, 15, 76, 78, 108, 173, 73, 46, 376, 432, 975, 1884, 911, 930, 2184, 1838, 517]$
1.6.L.8.2e $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_1(J(C_4))$ $8$ $0$ $4$ $48$ $2$ $[1, 4, 9, 10, 16, 76, 83, 110, 180, 87, 50, 376, 456, 980, 1884, 942, 935, 2248, 1871, 600]$
1.6.L.8.3a $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(D_{4,1},C_{4,1})$ $8$ $1/2$ $2$ $27$ $2$ $[1, 2, 6, 5, 12, 52, 60, 92, 142, 65, 35, 308, 372, 864, 1712, 849, 884, 2074, 1769, 502]$
1.6.L.8.3b $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(D_{4,1},D_2)$ $8$ $1/2$ $2$ $27$ $2$ $[1, 2, 6, 6, 12, 52, 61, 93, 144, 71, 36, 308, 382, 866, 1712, 862, 885, 2094, 1777, 528]$
1.6.L.8.3c $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(D_{4,1},D_{2,1})$ $8$ $1/2$ $2$ $27$ $2$ $[1, 2, 6, 5, 10, 52, 58, 86, 142, 63, 35, 308, 372, 866, 1712, 851, 870, 2074, 1763, 504]$
1.6.L.8.3d $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_1(D_{4,1})$ $8$ $0$ $3$ $30$ $2$ $[1, 3, 6, 7, 11, 52, 62, 87, 145, 69, 38, 308, 384, 869, 1712, 865, 872, 2096, 1774, 531]$
1.6.L.8.3e $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(D_4,D_2)$ $8$ $1/4$ $3$ $33$ $2$ $[1, 3, 7, 7, 11, 54, 62, 87, 145, 70, 36, 307, 382, 869, 1712, 865, 869, 2094, 1774, 531]$
1.6.L.8.3f $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(D_4,C_4)$ $8$ $1/2$ $3$ $45$ $2$ $[1, 3, 9, 7, 15, 76, 78, 107, 173, 72, 46, 375, 432, 975, 1884, 911, 925, 2184, 1834, 517]$
1.6.L.8.3g $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_1(D_4)$ $8$ $0$ $4$ $48$ $2$ $[1, 4, 9, 10, 16, 76, 83, 109, 178, 84, 50, 375, 454, 980, 1884, 938, 928, 2226, 1853, 570]$
1.6.L.8.5a $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(J(D_2),D_2)$ $8$ $1/2$ $2$ $27$ $2$ $[1, 2, 7, 6, 13, 52, 62, 98, 144, 75, 36, 310, 382, 866, 1712, 862, 896, 2094, 1786, 528]$
1.6.L.8.5b $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(J(D_2),J(C_2))$ $8$ $1/2$ $2$ $27$ $2$ $[1, 2, 7, 7, 13, 52, 63, 99, 148, 83, 37, 310, 394, 868, 1712, 879, 899, 2136, 1808, 584]$
1.6.L.8.5c $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(J(D_2),D_{2,1})$ $8$ $1/2$ $2$ $27$ $2$ $[1, 2, 7, 5, 11, 52, 59, 91, 142, 67, 35, 310, 372, 866, 1712, 851, 881, 2074, 1772, 504]$
1.6.L.8.5d $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_1(J(D_2))$ $8$ $0$ $3$ $30$ $2$ $[1, 3, 7, 9, 12, 52, 65, 94, 151, 87, 40, 310, 406, 873, 1712, 895, 887, 2158, 1813, 613]$
1.6.L.8.5e $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_2(D_2)$ $8$ $3/8$ $3$ $39$ $2$ $[1, 3, 8, 7, 14, 62, 65, 92, 145, 70, 44, 331, 390, 877, 1712, 873, 874, 2102, 1803, 539]$
1.6.L.8.5f $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_2(J(C_2))$ $8$ $3/8$ $3$ $39$ $2$ $[1, 3, 9, 8, 15, 62, 67, 99, 149, 83, 45, 334, 402, 879, 1712, 890, 893, 2144, 1838, 595]$
1.6.L.12.3a $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_1(T)$ $12$ $0$ $4$ $42$ $2$ $[1, 4, 8, 8, 13, 52, 54, 68, 112, 52, 36, 229, 276, 600, 1176, 596, 591, 1416, 1200, 364]$
1.6.L.12.4a $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(J(D_3),J(C_3))$ $12$ $1/2$ $2$ $24$ $2$ $[1, 2, 6, 5, 11, 39, 45, 71, 102, 56, 27, 213, 264, 583, 1150, 586, 607, 1422, 1209, 383]$
1.6.L.12.4b $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(J(D_3),D_3)$ $12$ $1/2$ $2$ $24$ $2$ $[1, 2, 6, 5, 11, 39, 45, 69, 100, 52, 27, 213, 260, 583, 1150, 580, 601, 1401, 1196, 355]$
1.6.L.12.4c $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(D_{6,1},D_3)$ $12$ $1/2$ $2$ $24$ $2$ $[1, 2, 6, 5, 11, 39, 45, 71, 100, 52, 27, 213, 260, 583, 1150, 580, 607, 1401, 1196, 355]$
1.6.L.12.4d $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(D_{6,1},C_{6,1})$ $12$ $1/2$ $2$ $24$ $2$ $[1, 2, 6, 5, 11, 39, 45, 69, 98, 48, 27, 213, 256, 583, 1150, 574, 601, 1382, 1185, 331]$
1.6.L.12.4e $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(J(D_3),D_{3,2})$ $12$ $1/2$ $2$ $24$ $2$ $[1, 2, 6, 4, 9, 39, 42, 62, 98, 44, 26, 213, 250, 583, 1150, 569, 586, 1381, 1182, 331]$
1.6.L.12.4f $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(D_{6,1},D_{3,2})$ $12$ $1/2$ $2$ $24$ $2$ $[1, 2, 6, 4, 9, 39, 42, 64, 98, 44, 26, 213, 250, 583, 1150, 569, 592, 1381, 1182, 331]$
1.6.L.12.4g $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_1(J(D_3))$ $12$ $0$ $3$ $27$ $2$ $[1, 3, 6, 7, 10, 39, 47, 66, 105, 60, 30, 213, 276, 588, 1150, 602, 595, 1444, 1214, 412]$
1.6.L.12.4h $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_1(D_{6,1})$ $12$ $0$ $3$ $27$ $2$ $[1, 3, 6, 7, 10, 39, 47, 64, 101, 52, 30, 213, 268, 588, 1150, 590, 589, 1404, 1190, 360]$
1.6.L.12.4i $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(D_6,D_3)$ $12$ $1/3$ $3$ $33$ $2$ $[1, 3, 7, 6, 11, 44, 47, 63, 101, 49, 29, 216, 262, 585, 1150, 582, 586, 1403, 1192, 357]$
1.6.L.12.4j $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_2(D_3)$ $12$ $1/4$ $3$ $33$ $2$ $[1, 3, 7, 6, 11, 46, 47, 65, 101, 49, 33, 228, 266, 591, 1150, 588, 588, 1407, 1208, 363]$
1.6.L.12.4k $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(D_6,C_6)$ $12$ $1/2$ $3$ $45$ $2$ $[1, 3, 9, 7, 15, 76, 78, 106, 171, 69, 46, 372, 426, 943, 1800, 843, 855, 1980, 1613, 435]$
1.6.L.12.4l $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L_1(D_6)$ $12$ $0$ $4$ $48$ $2$ $[1, 4, 9, 10, 16, 76, 83, 108, 176, 81, 50, 372, 448, 948, 1800, 870, 858, 2022, 1632, 488]$
1.6.L.12.5a $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(J(C_6),J(C_3))$ $12$ $1/3$ $3$ $33$ $2$ $[1, 3, 7, 6, 11, 44, 47, 65, 103, 53, 29, 216, 266, 585, 1150, 588, 593, 1424, 1206, 385]$
1.6.L.12.5b $1$ $6$ $6$ $\mathrm{U}(1)\times\mathrm{U}(1)_2$ $L(J(C_6),C_{6,1})$ $12$ $1/3$ $3$ $33$ $2$ $[1, 3, 7, 6, 11, 44, 47, 61, 99, 45, 29, 216, 258, 585, 1150, 576, 581, 1384, 1182, 333]$
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