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 |
1.4.F.2.1a |
$1$ |
$4$ |
$1$ |
$\mathrm{U}(1)_{2}$ |
$J(C_1)$ |
$2$ |
$1/2$ |
$4$ |
$48$ |
$640$ |
$8960$ |
$129024$ |
$129024$ |
$1$ |
$11$ |
$40$ |
$235$ |
$1196$ |
$6650$ |
|
|
|
|
✓ |
$[1, 4, 10, 19, 40, 46, 52, 163, 184, 146]$ |
1.4.F.2.1b |
$1$ |
$4$ |
$1$ |
$\mathrm{U}(1)_{2}$ |
$C_2$ |
$2$ |
$1/2$ |
$4$ |
$48$ |
$640$ |
$8960$ |
$129024$ |
$129024$ |
$2$ |
$10$ |
$44$ |
$230$ |
$1212$ |
$6628$ |
|
|
|
|
✓ |
$[1, 4, 7, 18, 40, 32, 52, 153, 184, 104]$ |
1.4.F.2.1c |
$1$ |
$4$ |
$1$ |
$\mathrm{U}(1)_{2}$ |
$C_{2,1}$ |
$2$ |
$1/2$ |
$4$ |
$48$ |
$640$ |
$8960$ |
$129024$ |
$129024$ |
$3$ |
$11$ |
$48$ |
$235$ |
$1228$ |
$6650$ |
|
|
|
|
✓ |
$[1, 4, 6, 19, 40, 30, 52, 151, 184, 98]$ |
1.6.H.2.1b |
$1$ |
$6$ |
$3$ |
$\mathrm{U}(1)^3$ |
$H_{ab}$ |
$2$ |
$0$ |
$4$ |
$48$ |
$940$ |
$22400$ |
$586404$ |
$586404$ |
$3$ |
$15$ |
$105$ |
$963$ |
$10233$ |
$117429$ |
$20$ |
$2508$ |
$555200$ |
|
✓ |
$[1, 4, 10, 8, 15, 76, 78, 108, 172, 70, 48, 375, 428, 948, 1800, 848, 861, 1980, 1614, 436]$ |
1.6.L.6.1b |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_1(D_3)$ |
$6$ |
$0$ |
$4$ |
$48$ |
$960$ |
$24080$ |
$673344$ |
$673344$ |
$2$ |
$12$ |
$96$ |
$968$ |
$10992$ |
$133706$ |
$18$ |
$2622$ |
$660060$ |
|
✓ |
$[1, 4, 9, 10, 16, 78, 87, 118, 200, 93, 54, 420, 520, 1166, 2300, 1160, 1160, 2802, 2368, 710]$ |
1.6.L.6.1d |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_1(D_{3,2})$ |
$6$ |
$0$ |
$4$ |
$48$ |
$960$ |
$24080$ |
$673344$ |
$673344$ |
$3$ |
$15$ |
$106$ |
$999$ |
$11088$ |
$134000$ |
$20$ |
$2652$ |
$660500$ |
|
✓ |
$[1, 4, 10, 8, 15, 78, 82, 118, 196, 82, 52, 423, 500, 1166, 2300, 1138, 1164, 2762, 2353, 662]$ |
1.6.L.6.2c |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_1(J(C_3))$ |
$6$ |
$0$ |
$4$ |
$48$ |
$960$ |
$24080$ |
$673344$ |
$673344$ |
$2$ |
$12$ |
$95$ |
$964$ |
$10977$ |
$133657$ |
$18$ |
$2622$ |
$660080$ |
|
✓ |
$[1, 4, 9, 10, 16, 78, 87, 120, 204, 101, 54, 420, 528, 1166, 2300, 1172, 1167, 2844, 2395, 766]$ |
1.6.L.6.2d |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_1(C_{6,1})$ |
$6$ |
$0$ |
$4$ |
$48$ |
$960$ |
$24080$ |
$673344$ |
$673344$ |
$2$ |
$12$ |
$97$ |
$972$ |
$11007$ |
$133757$ |
$18$ |
$2622$ |
$660080$ |
|
✓ |
$[1, 4, 9, 10, 16, 78, 87, 116, 196, 85, 54, 420, 512, 1166, 2300, 1148, 1155, 2764, 2347, 662]$ |
1.6.L.8.2e |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_1(J(C_4))$ |
$8$ |
$0$ |
$4$ |
$48$ |
$940$ |
$22470$ |
$595224$ |
$595224$ |
$2$ |
$12$ |
$95$ |
$934$ |
$10197$ |
$118947$ |
$18$ |
$2490$ |
$569760$ |
|
✓ |
$[1, 4, 9, 10, 16, 76, 83, 110, 180, 87, 50, 376, 456, 980, 1884, 942, 935, 2248, 1871, 600]$ |
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.8.3j |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_1(D_{4,2})$ |
$8$ |
$0$ |
$4$ |
$48$ |
$940$ |
$22470$ |
$595224$ |
$595224$ |
$3$ |
$15$ |
$105$ |
$964$ |
$10288$ |
$119220$ |
$20$ |
$2514$ |
$570080$ |
|
✓ |
$[1, 4, 10, 8, 15, 76, 78, 109, 174, 73, 48, 378, 434, 980, 1884, 916, 932, 2186, 1838, 522]$ |
1.6.L.12.4l |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_1(D_6)$ |
$12$ |
$0$ |
$4$ |
$48$ |
$940$ |
$22400$ |
$586404$ |
$586404$ |
$2$ |
$12$ |
$95$ |
$932$ |
$10137$ |
$117136$ |
$18$ |
$2478$ |
$554780$ |
|
✓ |
$[1, 4, 9, 10, 16, 76, 83, 108, 176, 81, 50, 372, 448, 948, 1800, 870, 858, 2022, 1632, 488]$ |
1.6.L.12.4p |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_1(D_{6,2})$ |
$12$ |
$0$ |
$4$ |
$48$ |
$940$ |
$22400$ |
$586404$ |
$586404$ |
$3$ |
$15$ |
$105$ |
$963$ |
$10233$ |
$117430$ |
$20$ |
$2508$ |
$555220$ |
|
✓ |
$[1, 4, 10, 8, 15, 76, 78, 108, 172, 70, 48, 375, 428, 948, 1800, 848, 862, 1982, 1617, 440]$ |
1.6.L.12.5f |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_1(J(C_6))$ |
$12$ |
$0$ |
$4$ |
$48$ |
$940$ |
$22400$ |
$586404$ |
$586404$ |
$2$ |
$12$ |
$95$ |
$932$ |
$10137$ |
$117137$ |
$18$ |
$2478$ |
$554800$ |
|
✓ |
$[1, 4, 9, 10, 16, 76, 83, 108, 176, 81, 50, 372, 448, 948, 1800, 870, 859, 2024, 1635, 492]$ |
1.6.N.16.8c |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$B(1,8)_1$ |
$16$ |
$0$ |
$4$ |
$48$ |
$1060$ |
$30170$ |
$945504$ |
$945504$ |
$2$ |
$12$ |
$101$ |
$1115$ |
$13962$ |
$185808$ |
$18$ |
$3200$ |
$977820$ |
|
✓ |
$[1, 4, 9, 10, 16, 88, 105, 153, 274, 136, 62, 573, 750, 1796, 3704, 1974, 1986, 4974, 4405, 1386]$ |
1.6.N.18.3c |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$B(3,3)$ |
$18$ |
$1/9$ |
$4$ |
$48$ |
$1000$ |
$27440$ |
$847224$ |
$847224$ |
$2$ |
$12$ |
$98$ |
$1040$ |
$12702$ |
$166908$ |
$18$ |
$2910$ |
$872040$ |
|
✓ |
$[1, 4, 9, 10, 16, 82, 95, 138, 248, 117, 62, 516, 664, 1602, 3306, 1748, 1778, 4410, 3912, 1206]$ |
1.6.N.24.1b |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$B(3,4;4)$ |
$24$ |
$1/12$ |
$4$ |
$48$ |
$960$ |
$24500$ |
$708624$ |
$708624$ |
$2$ |
$12$ |
$96$ |
$974$ |
$11252$ |
$140618$ |
$18$ |
$2658$ |
$713160$ |
|
✓ |
$[1, 4, 9, 10, 16, 78, 87, 120, 208, 95, 54, 434, 544, 1270, 2574, 1340, 1360, 3362, 2972, 894]$ |
1.6.N.24.5c |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$B(3,4)$ |
$24$ |
$1/12$ |
$4$ |
$48$ |
$960$ |
$24500$ |
$708624$ |
$708624$ |
$2$ |
$12$ |
$96$ |
$974$ |
$11252$ |
$140618$ |
$18$ |
$2666$ |
$713340$ |
|
✓ |
$[1, 4, 9, 10, 16, 78, 89, 122, 208, 105, 54, 434, 556, 1274, 2574, 1368, 1364, 3398, 2992, 966]$ |
1.6.N.24.8c |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$B(6,2)$ |
$24$ |
$1/12$ |
$4$ |
$48$ |
$940$ |
$23660$ |
$684684$ |
$684684$ |
$2$ |
$12$ |
$95$ |
$950$ |
$10887$ |
$136038$ |
$18$ |
$2602$ |
$694320$ |
|
✓ |
$[1, 4, 9, 10, 16, 76, 87, 118, 200, 107, 50, 414, 544, 1232, 2514, 1358, 1336, 3370, 2974, 988]$ |
1.6.N.32.11b |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$B(4,4)$ |
$32$ |
$0$ |
$4$ |
$48$ |
$940$ |
$22610$ |
$612864$ |
$612864$ |
$2$ |
$12$ |
$95$ |
$935$ |
$10302$ |
$122508$ |
$18$ |
$2496$ |
$599400$ |
|
✓ |
$[1, 4, 9, 10, 16, 76, 83, 111, 182, 90, 50, 381, 466, 1044, 2052, 1074, 1070, 2638, 2301, 742]$ |
1.6.N.36.6b |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$B(3,6;2)$ |
$36$ |
$1/18$ |
$4$ |
$48$ |
$960$ |
$24080$ |
$673344$ |
$673344$ |
$2$ |
$12$ |
$96$ |
$968$ |
$10992$ |
$133728$ |
$18$ |
$2622$ |
$660560$ |
|
✓ |
$[1, 4, 9, 10, 16, 78, 87, 118, 200, 93, 54, 420, 520, 1166, 2302, 1160, 1166, 2818, 2396, 722]$ |
1.6.N.36.12b |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$B(3,6)$ |
$36$ |
$1/18$ |
$4$ |
$48$ |
$960$ |
$24080$ |
$673344$ |
$673344$ |
$2$ |
$12$ |
$96$ |
$968$ |
$10992$ |
$133728$ |
$18$ |
$2622$ |
$660560$ |
|
✓ |
$[1, 4, 9, 10, 16, 78, 87, 118, 200, 93, 54, 420, 520, 1166, 2302, 1164, 1166, 2822, 2396, 738]$ |
1.6.N.72.30b |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$B(6,6)$ |
$72$ |
$1/36$ |
$4$ |
$48$ |
$940$ |
$22400$ |
$586404$ |
$586404$ |
$2$ |
$12$ |
$95$ |
$932$ |
$10137$ |
$117138$ |
$18$ |
$2478$ |
$554820$ |
|
✓ |
$[1, 4, 9, 10, 16, 76, 83, 108, 176, 81, 50, 372, 448, 948, 1800, 870, 860, 2026, 1638, 496]$ |