| 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.J.4.2a |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J(J(E_2),E_2)$ |
$4$ |
$1/2$ |
$2$ |
$23$ |
$420$ |
$9331$ |
$229068$ |
$229068$ |
$2$ |
$9$ |
$56$ |
$471$ |
$4642$ |
$49891$ |
$10$ |
$1178$ |
$228360$ |
|
✓ |
$[1, 2, 6, 6, 10, 35, 41, 58, 80, 44, 20, 145, 184, 366, 688, 340, 336, 760, 599, 198]$ |
| 1.6.J.4.2b |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J(J(E_2),J(E_1))$ |
$4$ |
$1/2$ |
$2$ |
$23$ |
$420$ |
$9331$ |
$229068$ |
$229068$ |
$2$ |
$9$ |
$56$ |
$471$ |
$4642$ |
$49891$ |
$10$ |
$1178$ |
$228360$ |
|
✓ |
$[1, 2, 6, 4, 8, 35, 37, 52, 76, 32, 18, 145, 166, 364, 688, 318, 326, 722, 579, 150]$ |
| 1.6.J.6.1a |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J(J(E_3),E_3)$ |
$6$ |
$1/2$ |
$2$ |
$21$ |
$335$ |
$6797$ |
$159138$ |
$159138$ |
$2$ |
$8$ |
$45$ |
$348$ |
$3267$ |
$34220$ |
$8$ |
$828$ |
$154420$ |
|
✓ |
$[1, 2, 5, 4, 9, 26, 28, 40, 54, 25, 17, 102, 117, 245, 466, 219, 227, 485, 395, 105]$ |
| 1.6.J.8.3a |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J(J(E_4),J(E_2))$ |
$8$ |
$1/4$ |
$2$ |
$15$ |
$225$ |
$4739$ |
$114933$ |
$114933$ |
$2$ |
$7$ |
$35$ |
$257$ |
$2392$ |
$25195$ |
$8$ |
$630$ |
$114920$ |
|
✓ |
$[1, 2, 4, 4, 6, 18, 22, 31, 41, 25, 11, 74, 94, 187, 344, 175, 171, 382, 304, 104]$ |
| 1.6.J.8.3b |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J(J(E_4),E_4)$ |
$8$ |
$1/2$ |
$2$ |
$21$ |
$330$ |
$6419$ |
$142548$ |
$142548$ |
$2$ |
$8$ |
$44$ |
$329$ |
$2962$ |
$29790$ |
$8$ |
$762$ |
$129760$ |
|
✓ |
$[1, 2, 5, 4, 9, 25, 26, 37, 46, 26, 16, 93, 104, 202, 368, 182, 181, 392, 316, 104]$ |
| 1.6.J.8.5a |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J_2(J(E_2))$ |
$8$ |
$3/8$ |
$2$ |
$17$ |
$255$ |
$5131$ |
$119973$ |
$119973$ |
$2$ |
$8$ |
$41$ |
$291$ |
$2582$ |
$26276$ |
$8$ |
$662$ |
$116840$ |
|
✓ |
$[1, 2, 5, 4, 7, 20, 23, 34, 41, 25, 13, 78, 96, 187, 344, 175, 178, 384, 309, 104]$ |
| 1.6.J.12.4a |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J(J(E_6),J(E_3))$ |
$12$ |
$1/3$ |
$2$ |
$15$ |
$195$ |
$3605$ |
$81333$ |
$81333$ |
$2$ |
$7$ |
$32$ |
$208$ |
$1767$ |
$17680$ |
$7$ |
$471$ |
$78750$ |
|
✓ |
$[1, 2, 4, 3, 6, 14, 16, 22, 28, 15, 10, 53, 61, 125, 233, 113, 117, 245, 202, 56]$ |
| 1.6.J.12.4b |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J_2(J(E_3))$ |
$12$ |
$1/4$ |
$2$ |
$15$ |
$200$ |
$3717$ |
$83223$ |
$83223$ |
$2$ |
$7$ |
$33$ |
$216$ |
$1822$ |
$18040$ |
$7$ |
$471$ |
$79070$ |
|
✓ |
$[1, 2, 4, 3, 6, 15, 16, 24, 28, 15, 11, 55, 62, 126, 233, 114, 121, 246, 204, 57]$ |
| 1.6.J.12.4c |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J(J(E_6),E_6)$ |
$12$ |
$1/2$ |
$2$ |
$21$ |
$330$ |
$6405$ |
$140868$ |
$140868$ |
$2$ |
$8$ |
$44$ |
$328$ |
$2932$ |
$29110$ |
$8$ |
$756$ |
$124500$ |
|
✓ |
$[1, 2, 5, 4, 9, 25, 26, 36, 44, 23, 16, 92, 102, 192, 340, 156, 161, 332, 257, 80]$ |
| 1.6.J.16.11a |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J_2(J(E_4))$ |
$16$ |
$5/16$ |
$2$ |
$15$ |
$195$ |
$3479$ |
$74193$ |
$74193$ |
$2$ |
$7$ |
$32$ |
$203$ |
$1647$ |
$15685$ |
$7$ |
$438$ |
$66580$ |
✓ |
✓ |
$[1, 2, 4, 3, 6, 14, 15, 22, 24, 16, 10, 50, 55, 105, 184, 96, 97, 199, 165, 57]$ |
| 1.6.J.24.14a |
$1$ |
$6$ |
$4$ |
$\mathrm{U}(1)\times\mathrm{SU}(2)_2$ |
$J_2(J(E_6))$ |
$24$ |
$7/24$ |
$2$ |
$15$ |
$195$ |
$3465$ |
$73143$ |
$73143$ |
$2$ |
$7$ |
$32$ |
$202$ |
$1627$ |
$15305$ |
$7$ |
$435$ |
$63950$ |
✓ |
✓ |
$[1, 2, 4, 3, 6, 14, 15, 21, 23, 14, 10, 49, 54, 99, 170, 82, 86, 169, 134, 44]$ |
