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.4.1b |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_1(C_{4,1})$ |
$4$ |
$0$ |
$4$ |
$54$ |
$1240$ |
$33670$ |
$978264$ |
$978264$ |
$2$ |
$12$ |
$113$ |
$1270$ |
$15337$ |
$192897$ |
$18$ |
$3570$ |
$966600$ |
|
✓ |
$[1, 4, 9, 10, 18, 104, 117, 162, 284, 119, 70, 610, 744, 1728, 3424, 1698, 1721, 4148, 3515, 1004]$ |
1.6.L.4.2e |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_1(D_2)$ |
$4$ |
$0$ |
$4$ |
$54$ |
$1240$ |
$33670$ |
$978264$ |
$978264$ |
$2$ |
$13$ |
$116$ |
$1279$ |
$15362$ |
$192967$ |
$20$ |
$3588$ |
$966800$ |
|
✓ |
$[1, 4, 10, 12, 19, 104, 120, 168, 288, 134, 72, 611, 764, 1732, 3424, 1724, 1729, 4188, 3536, 1056]$ |
1.6.L.4.2f |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_1(J(C_2))$ |
$4$ |
$0$ |
$4$ |
$54$ |
$1240$ |
$33670$ |
$978264$ |
$978264$ |
$2$ |
$14$ |
$119$ |
$1290$ |
$15397$ |
$193079$ |
$22$ |
$3618$ |
$967240$ |
|
✓ |
$[1, 4, 11, 14, 20, 104, 123, 176, 296, 155, 74, 614, 788, 1736, 3424, 1758, 1751, 4272, 3593, 1168]$ |
1.6.L.4.2j |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_1(D_{2,1})$ |
$4$ |
$0$ |
$4$ |
$54$ |
$1240$ |
$33670$ |
$978264$ |
$978264$ |
$3$ |
$16$ |
$126$ |
$1310$ |
$15458$ |
$193261$ |
$22$ |
$3618$ |
$967240$ |
|
✓ |
$[1, 4, 11, 10, 18, 104, 115, 168, 284, 123, 70, 614, 744, 1732, 3424, 1702, 1733, 4148, 3521, 1008]$ |
1.6.M.3.1a |
$1$ |
$6$ |
$3$ |
$\mathrm{SU}(2)_{3}$ |
$M(C_3)$ |
$3$ |
$2/3$ |
$3$ |
$54$ |
$1215$ |
$30618$ |
$826686$ |
$826686$ |
$2$ |
$15$ |
$135$ |
$1377$ |
$15228$ |
$177633$ |
$23$ |
$3696$ |
$853742$ |
|
✓ |
$[1, 3, 12, 10, 15, 108, 112, 162, 270, 102, 56, 513, 612, 1443, 2820, 1341, 1401, 3228, 2640, 707]$ |
1.6.N.9.2a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$C(3,1)$ |
$9$ |
$8/9$ |
$2$ |
$54$ |
$1620$ |
$51030$ |
$1653372$ |
$1653372$ |
$1$ |
$11$ |
$135$ |
$1755$ |
$23571$ |
$323109$ |
$20$ |
$5244$ |
$1717220$ |
|
✓ |
$[1, 2, 10, 10, 17, 144, 162, 250, 466, 196, 96, 1003, 1264, 3174, 6576, 3406, 3507, 8704, 7744, 2270]$ |
1.6.N.16.6c |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$B(2,4;4)$ |
$16$ |
$0$ |
$4$ |
$54$ |
$1240$ |
$34230$ |
$1028664$ |
$1028664$ |
$2$ |
$13$ |
$116$ |
$1287$ |
$15722$ |
$202879$ |
$20$ |
$3636$ |
$1043600$ |
|
✓ |
$[1, 4, 10, 12, 19, 104, 120, 172, 300, 142, 72, 631, 800, 1888, 3832, 2008, 2033, 5048, 4452, 1368]$ |
1.6.N.16.13c |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$B(2,4)$ |
$16$ |
$0$ |
$4$ |
$54$ |
$1240$ |
$34230$ |
$1028664$ |
$1028664$ |
$2$ |
$13$ |
$116$ |
$1287$ |
$15722$ |
$202879$ |
$20$ |
$3644$ |
$1043780$ |
|
✓ |
$[1, 4, 10, 12, 19, 104, 122, 174, 300, 152, 72, 631, 812, 1892, 3832, 2036, 2037, 5084, 4472, 1440]$ |
1.6.N.24.3b |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$B(T,1)$ |
$24$ |
$1/3$ |
$4$ |
$54$ |
$1040$ |
$25130$ |
$706104$ |
$706104$ |
$2$ |
$13$ |
$106$ |
$1037$ |
$11542$ |
$140919$ |
$20$ |
$2792$ |
$710800$ |
|
✓ |
$[1, 4, 10, 8, 15, 84, 84, 114, 200, 84, 48, 425, 516, 1236, 2532, 1312, 1325, 3296, 2938, 876]$ |
1.6.N.24.10c |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$B(1,12)$ |
$24$ |
$0$ |
$4$ |
$54$ |
$1240$ |
$33670$ |
$978264$ |
$978264$ |
$2$ |
$13$ |
$116$ |
$1279$ |
$15362$ |
$192999$ |
$20$ |
$3588$ |
$967500$ |
|
✓ |
$[1, 4, 10, 12, 19, 104, 120, 168, 288, 134, 72, 611, 764, 1732, 3426, 1728, 1737, 4216, 3578, 1088]$ |
1.6.N.24.11b |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$B(1,12;2)$ |
$24$ |
$0$ |
$4$ |
$54$ |
$1240$ |
$33670$ |
$978264$ |
$978264$ |
$2$ |
$13$ |
$116$ |
$1279$ |
$15362$ |
$192999$ |
$20$ |
$3588$ |
$967500$ |
|
✓ |
$[1, 4, 10, 12, 19, 104, 120, 168, 288, 134, 72, 611, 764, 1732, 3426, 1724, 1737, 4212, 3578, 1072]$ |