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.H.4.2b |
$1$ |
$6$ |
$3$ |
$\mathrm{U}(1)^3$ |
$H_{a,bc}$ |
$4$ |
$1/4$ |
$3$ |
$33$ |
$570$ |
$12425$ |
$309078$ |
$309078$ |
$3$ |
$13$ |
$75$ |
$585$ |
$5643$ |
$61609$ |
$14$ |
$1398$ |
$284000$ |
|
✓ |
$[1, 3, 8, 5, 12, 44, 43, 66, 87, 40, 28, 201, 218, 479, 900, 429, 454, 994, 829, 223]$ |
1.6.L.8.2a |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(J(C_4),C_{4,1})$ |
$8$ |
$1/4$ |
$3$ |
$33$ |
$660$ |
$17115$ |
$491148$ |
$491148$ |
$2$ |
$10$ |
$71$ |
$694$ |
$7917$ |
$97537$ |
$13$ |
$1881$ |
$485860$ |
|
✓ |
$[1, 3, 7, 6, 11, 54, 61, 87, 143, 65, 35, 308, 372, 867, 1712, 852, 873, 2074, 1770, 505]$ |
1.6.L.8.2b |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(J(C_4),J(C_2))$ |
$8$ |
$1/4$ |
$3$ |
$33$ |
$660$ |
$17115$ |
$491148$ |
$491148$ |
$2$ |
$10$ |
$71$ |
$694$ |
$7917$ |
$97537$ |
$15$ |
$1905$ |
$486180$ |
|
✓ |
$[1, 3, 7, 8, 11, 54, 63, 89, 149, 79, 37, 308, 394, 871, 1712, 882, 877, 2136, 1800, 587]$ |
1.6.L.8.3e |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(D_4,D_2)$ |
$8$ |
$1/4$ |
$3$ |
$33$ |
$660$ |
$17115$ |
$491148$ |
$491148$ |
$2$ |
$10$ |
$71$ |
$693$ |
$7912$ |
$97516$ |
$14$ |
$1890$ |
$485960$ |
|
✓ |
$[1, 3, 7, 7, 11, 54, 62, 87, 145, 70, 36, 307, 382, 869, 1712, 865, 869, 2094, 1774, 531]$ |
1.6.L.8.3h |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(D_{4,2},D_{2,1})$ |
$8$ |
$1/4$ |
$3$ |
$33$ |
$660$ |
$17115$ |
$491148$ |
$491148$ |
$3$ |
$13$ |
$81$ |
$724$ |
$8008$ |
$97810$ |
$15$ |
$1905$ |
$486180$ |
|
✓ |
$[1, 3, 8, 6, 12, 54, 60, 94, 143, 67, 35, 310, 372, 869, 1712, 854, 888, 2074, 1773, 507]$ |
1.6.L.12.4i |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(D_6,D_3)$ |
$12$ |
$1/3$ |
$3$ |
$33$ |
$570$ |
$12985$ |
$346878$ |
$346878$ |
$2$ |
$10$ |
$65$ |
$566$ |
$5917$ |
$69106$ |
$13$ |
$1455$ |
$335790$ |
|
✓ |
$[1, 3, 7, 6, 11, 44, 47, 63, 101, 49, 29, 216, 262, 585, 1150, 582, 586, 1403, 1192, 357]$ |
1.6.L.12.4j |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_2(D_3)$ |
$12$ |
$1/4$ |
$3$ |
$33$ |
$590$ |
$13545$ |
$358218$ |
$358218$ |
$2$ |
$10$ |
$66$ |
$578$ |
$6032$ |
$70096$ |
$13$ |
$1455$ |
$337070$ |
|
✓ |
$[1, 3, 7, 6, 11, 46, 47, 65, 101, 49, 33, 228, 266, 591, 1150, 588, 588, 1407, 1208, 363]$ |
1.6.L.12.4m |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(D_{6,2},D_{3,2})$ |
$12$ |
$1/3$ |
$3$ |
$33$ |
$570$ |
$12985$ |
$346878$ |
$346878$ |
$3$ |
$13$ |
$75$ |
$597$ |
$6013$ |
$69400$ |
$14$ |
$1470$ |
$336010$ |
|
✓ |
$[1, 3, 8, 5, 12, 44, 45, 70, 99, 46, 28, 219, 252, 585, 1150, 571, 605, 1383, 1191, 333]$ |
1.6.L.12.4n |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_2(D_{3,2})$ |
$12$ |
$1/4$ |
$3$ |
$33$ |
$590$ |
$13545$ |
$358218$ |
$358218$ |
$3$ |
$13$ |
$76$ |
$609$ |
$6128$ |
$70390$ |
$14$ |
$1470$ |
$337290$ |
|
✓ |
$[1, 3, 8, 5, 12, 46, 45, 72, 99, 46, 32, 231, 256, 591, 1150, 577, 607, 1387, 1207, 339]$ |
1.6.L.12.5a |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(J(C_6),J(C_3))$ |
$12$ |
$1/3$ |
$3$ |
$33$ |
$570$ |
$12985$ |
$346878$ |
$346878$ |
$2$ |
$10$ |
$65$ |
$566$ |
$5917$ |
$69107$ |
$13$ |
$1455$ |
$335800$ |
|
✓ |
$[1, 3, 7, 6, 11, 44, 47, 65, 103, 53, 29, 216, 266, 585, 1150, 588, 593, 1424, 1206, 385]$ |
1.6.L.12.5b |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(J(C_6),C_{6,1})$ |
$12$ |
$1/3$ |
$3$ |
$33$ |
$570$ |
$12985$ |
$346878$ |
$346878$ |
$2$ |
$10$ |
$65$ |
$566$ |
$5917$ |
$69107$ |
$13$ |
$1455$ |
$335800$ |
|
✓ |
$[1, 3, 7, 6, 11, 44, 47, 61, 99, 45, 29, 216, 258, 585, 1150, 576, 581, 1384, 1182, 333]$ |
1.6.L.12.5c |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_2(J(C_3))$ |
$12$ |
$1/4$ |
$3$ |
$33$ |
$590$ |
$13545$ |
$358218$ |
$358218$ |
$2$ |
$10$ |
$65$ |
$574$ |
$6017$ |
$70047$ |
$13$ |
$1455$ |
$337080$ |
|
✓ |
$[1, 3, 7, 6, 11, 46, 47, 65, 103, 53, 33, 228, 270, 591, 1150, 594, 589, 1428, 1222, 391]$ |
1.6.L.12.5d |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_2(C_{6,1})$ |
$12$ |
$1/4$ |
$3$ |
$33$ |
$590$ |
$13545$ |
$358218$ |
$358218$ |
$2$ |
$10$ |
$67$ |
$582$ |
$6047$ |
$70147$ |
$13$ |
$1455$ |
$337080$ |
|
✓ |
$[1, 3, 7, 6, 11, 46, 47, 65, 99, 45, 33, 228, 262, 591, 1150, 582, 589, 1388, 1198, 339]$ |
1.6.L.16.10a |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_2(J(C_4))$ |
$16$ |
$5/16$ |
$3$ |
$33$ |
$570$ |
$12495$ |
$314748$ |
$314748$ |
$2$ |
$10$ |
$65$ |
$556$ |
$5587$ |
$62317$ |
$13$ |
$1389$ |
$291280$ |
|
✓ |
$[1, 3, 7, 6, 11, 44, 45, 61, 91, 47, 29, 202, 232, 497, 942, 478, 477, 1128, 958, 307]$ |
1.6.L.16.11h |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_2(D_4)$ |
$16$ |
$5/16$ |
$3$ |
$33$ |
$570$ |
$12495$ |
$314748$ |
$314748$ |
$2$ |
$10$ |
$65$ |
$555$ |
$5582$ |
$62296$ |
$13$ |
$1386$ |
$291220$ |
|
✓ |
$[1, 3, 7, 6, 11, 44, 45, 60, 90, 45, 29, 201, 231, 497, 942, 476, 471, 1117, 947, 292]$ |
1.6.L.16.11i |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_2(D_{4,2})$ |
$16$ |
$5/16$ |
$3$ |
$33$ |
$570$ |
$12495$ |
$314748$ |
$314748$ |
$3$ |
$13$ |
$75$ |
$586$ |
$5678$ |
$62590$ |
$14$ |
$1401$ |
$291440$ |
|
✓ |
$[1, 3, 8, 5, 12, 44, 43, 67, 88, 42, 28, 204, 221, 497, 942, 465, 490, 1097, 946, 268]$ |
1.6.L.24.14i |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_2(D_6)$ |
$24$ |
$7/24$ |
$3$ |
$33$ |
$570$ |
$12425$ |
$309078$ |
$309078$ |
$2$ |
$10$ |
$65$ |
$554$ |
$5547$ |
$61316$ |
$13$ |
$1383$ |
$283790$ |
|
✓ |
$[1, 3, 7, 6, 11, 44, 45, 59, 89, 43, 29, 198, 228, 479, 900, 440, 436, 1015, 832, 249]$ |
1.6.L.24.14j |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_2(D_{6,2})$ |
$24$ |
$7/24$ |
$3$ |
$33$ |
$570$ |
$12425$ |
$309078$ |
$309078$ |
$3$ |
$13$ |
$75$ |
$585$ |
$5643$ |
$61610$ |
$14$ |
$1398$ |
$284010$ |
|
✓ |
$[1, 3, 8, 5, 12, 44, 43, 66, 87, 40, 28, 201, 218, 479, 900, 429, 455, 995, 831, 225]$ |
1.6.L.24.15a |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_2(J(C_6))$ |
$24$ |
$7/24$ |
$3$ |
$33$ |
$570$ |
$12425$ |
$309078$ |
$309078$ |
$2$ |
$10$ |
$65$ |
$554$ |
$5547$ |
$61317$ |
$13$ |
$1383$ |
$283800$ |
|
✓ |
$[1, 3, 7, 6, 11, 44, 45, 59, 89, 43, 29, 198, 228, 479, 900, 440, 437, 1016, 834, 251]$ |
1.6.N.16.7a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$J_s(B(1,4)_2)$ |
$16$ |
$1/2$ |
$2$ |
$33$ |
$920$ |
$28735$ |
$930132$ |
$930132$ |
$2$ |
$10$ |
$86$ |
$1016$ |
$13342$ |
$181993$ |
$12$ |
$2966$ |
$966180$ |
|
✓ |
$[1, 2, 7, 8, 15, 80, 100, 158, 268, 137, 58, 568, 746, 1792, 3696, 1966, 2004, 4970, 4406, 1382]$ |
1.6.N.16.8a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$J_s(B(1,4;2)_2)$ |
$16$ |
$1/2$ |
$2$ |
$33$ |
$920$ |
$28735$ |
$930132$ |
$930132$ |
$2$ |
$10$ |
$86$ |
$1016$ |
$13342$ |
$181993$ |
$12$ |
$2966$ |
$966180$ |
|
✓ |
$[1, 2, 7, 6, 13, 80, 94, 152, 264, 119, 54, 568, 718, 1788, 3696, 1928, 1994, 4910, 4376, 1296]$ |
1.6.N.16.11a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$J(B(1,4)_2)$ |
$16$ |
$1/2$ |
$2$ |
$33$ |
$920$ |
$28735$ |
$930132$ |
$930132$ |
$2$ |
$11$ |
$89$ |
$1026$ |
$13372$ |
$182084$ |
$12$ |
$2966$ |
$966180$ |
|
✓ |
$[1, 2, 8, 8, 16, 80, 101, 163, 268, 141, 58, 570, 746, 1792, 3696, 1966, 2015, 4970, 4415, 1382]$ |
1.6.N.16.13a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$J(B(1,4;2)_2)$ |
$16$ |
$1/2$ |
$2$ |
$33$ |
$920$ |
$28735$ |
$930132$ |
$930132$ |
$2$ |
$11$ |
$89$ |
$1026$ |
$13372$ |
$182084$ |
$12$ |
$2966$ |
$966180$ |
|
✓ |
$[1, 2, 8, 6, 14, 80, 95, 157, 264, 123, 54, 570, 718, 1788, 3696, 1928, 2005, 4910, 4385, 1296]$ |