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.L.8.3a |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(D_{4,1},C_{4,1})$ |
$8$ |
$1/2$ |
$2$ |
$27$ |
$620$ |
$16835$ |
$489132$ |
$489132$ |
$2$ |
$9$ |
$65$ |
$660$ |
$7742$ |
$96666$ |
$9$ |
$1785$ |
$483300$ |
|
✓ |
$[1, 2, 6, 5, 12, 52, 60, 92, 142, 65, 35, 308, 372, 864, 1712, 849, 884, 2074, 1769, 502]$ |
1.6.L.8.3b |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(D_{4,1},D_2)$ |
$8$ |
$1/2$ |
$2$ |
$27$ |
$620$ |
$16835$ |
$489132$ |
$489132$ |
$2$ |
$9$ |
$65$ |
$660$ |
$7742$ |
$96666$ |
$10$ |
$1794$ |
$483400$ |
|
✓ |
$[1, 2, 6, 6, 12, 52, 61, 93, 144, 71, 36, 308, 382, 866, 1712, 862, 885, 2094, 1777, 528]$ |
1.6.L.8.3c |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(D_{4,1},D_{2,1})$ |
$8$ |
$1/2$ |
$2$ |
$27$ |
$620$ |
$16835$ |
$489132$ |
$489132$ |
$2$ |
$9$ |
$65$ |
$660$ |
$7742$ |
$96666$ |
$11$ |
$1809$ |
$483620$ |
|
✓ |
$[1, 2, 6, 5, 10, 52, 58, 86, 142, 63, 35, 308, 372, 866, 1712, 851, 870, 2074, 1763, 504]$ |
1.6.L.8.3d |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_1(D_{4,1})$ |
$8$ |
$0$ |
$3$ |
$30$ |
$630$ |
$16870$ |
$489258$ |
$489258$ |
$2$ |
$9$ |
$65$ |
$660$ |
$7742$ |
$96666$ |
$12$ |
$1818$ |
$483720$ |
|
✓ |
$[1, 3, 6, 7, 11, 52, 62, 87, 145, 69, 38, 308, 384, 869, 1712, 865, 872, 2096, 1774, 531]$ |
1.6.L.8.3e |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(D_4,D_2)$ |
$8$ |
$1/4$ |
$3$ |
$33$ |
$660$ |
$17115$ |
$491148$ |
$491148$ |
$2$ |
$10$ |
$71$ |
$693$ |
$7912$ |
$97516$ |
$14$ |
$1890$ |
$485960$ |
|
✓ |
$[1, 3, 7, 7, 11, 54, 62, 87, 145, 70, 36, 307, 382, 869, 1712, 865, 869, 2094, 1774, 531]$ |
1.6.L.8.3f |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(D_4,C_4)$ |
$8$ |
$1/2$ |
$3$ |
$45$ |
$930$ |
$22435$ |
$595098$ |
$595098$ |
$2$ |
$12$ |
$95$ |
$933$ |
$10192$ |
$118926$ |
$16$ |
$2466$ |
$569440$ |
|
✓ |
$[1, 3, 9, 7, 15, 76, 78, 107, 173, 72, 46, 375, 432, 975, 1884, 911, 925, 2184, 1834, 517]$ |
1.6.L.8.3g |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_1(D_4)$ |
$8$ |
$0$ |
$4$ |
$48$ |
$940$ |
$22470$ |
$595224$ |
$595224$ |
$2$ |
$12$ |
$95$ |
$933$ |
$10192$ |
$118926$ |
$18$ |
$2484$ |
$569640$ |
|
✓ |
$[1, 4, 9, 10, 16, 76, 83, 109, 178, 84, 50, 375, 454, 980, 1884, 938, 928, 2226, 1853, 570]$ |
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.8.3i |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(D_{4,2},C_4)$ |
$8$ |
$1/2$ |
$3$ |
$45$ |
$930$ |
$22435$ |
$595098$ |
$595098$ |
$3$ |
$15$ |
$105$ |
$964$ |
$10288$ |
$119220$ |
$16$ |
$2466$ |
$569440$ |
|
✓ |
$[1, 3, 10, 7, 18, 76, 79, 121, 173, 77, 46, 378, 432, 975, 1884, 911, 959, 2184, 1847, 517]$ |
1.6.L.8.3j |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_1(D_{4,2})$ |
$8$ |
$0$ |
$4$ |
$48$ |
$940$ |
$22470$ |
$595224$ |
$595224$ |
$3$ |
$15$ |
$105$ |
$964$ |
$10288$ |
$119220$ |
$20$ |
$2514$ |
$570080$ |
|
✓ |
$[1, 4, 10, 8, 15, 76, 78, 109, 174, 73, 48, 378, 434, 980, 1884, 916, 932, 2186, 1838, 522]$ |