| 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.M.1.1a |
$1$ |
$6$ |
$3$ |
$\mathrm{SU}(2)_{3}$ |
$M(C_1)$ |
$1$ |
$0$ |
$9$ |
$162$ |
$3645$ |
$91854$ |
$2480058$ |
$2480058$ |
$6$ |
$45$ |
$405$ |
$4131$ |
$45684$ |
$532899$ |
$65$ |
$11076$ |
$2561186$ |
|
✓ |
$[1, 9, 34, 26, 45, 320, 334, 486, 810, 300, 164, 1539, 1836, 4325, 8448, 4023, 4191, 9680, 7920, 2101]$ |
| 1.6.M.2.1a |
$1$ |
$6$ |
$3$ |
$\mathrm{SU}(2)_{3}$ |
$M(C_2)$ |
$2$ |
$0$ |
$5$ |
$82$ |
$1825$ |
$45934$ |
$1240050$ |
$1240050$ |
$4$ |
$25$ |
$209$ |
$2083$ |
$22890$ |
$266583$ |
$33$ |
$5540$ |
$1280610$ |
|
✓ |
$[1, 5, 18, 14, 25, 160, 170, 250, 406, 156, 84, 771, 924, 2165, 4224, 2019, 2107, 4848, 3968, 1061]$ |
| 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.M.4.1a |
$1$ |
$6$ |
$3$ |
$\mathrm{SU}(2)_{3}$ |
$M(C_4)$ |
$4$ |
$0$ |
$3$ |
$42$ |
$915$ |
$22974$ |
$620046$ |
$620046$ |
$2$ |
$13$ |
$105$ |
$1043$ |
$11448$ |
$133299$ |
$17$ |
$2772$ |
$640322$ |
|
✓ |
$[1, 3, 10, 8, 13, 80, 86, 126, 204, 80, 42, 387, 462, 1083, 2112, 1011, 1055, 2424, 1988, 533]$ |
| 1.6.M.4.2a |
$1$ |
$6$ |
$3$ |
$\mathrm{SU}(2)_{3}$ |
$M(D_2)$ |
$4$ |
$0$ |
$3$ |
$42$ |
$915$ |
$22974$ |
$620046$ |
$620046$ |
$3$ |
$15$ |
$111$ |
$1059$ |
$11493$ |
$133425$ |
$17$ |
$2772$ |
$640322$ |
|
✓ |
$[1, 3, 10, 8, 15, 80, 88, 132, 204, 84, 44, 387, 468, 1085, 2112, 1017, 1065, 2432, 1992, 541]$ |
| 1.6.M.6.1a |
$1$ |
$6$ |
$3$ |
$\mathrm{SU}(2)_{3}$ |
$M(D_3)$ |
$6$ |
$1/3$ |
$2$ |
$28$ |
$610$ |
$15316$ |
$413364$ |
$413364$ |
$2$ |
$10$ |
$74$ |
$706$ |
$7662$ |
$88950$ |
$12$ |
$1850$ |
$426888$ |
|
✓ |
$[1, 2, 7, 6, 10, 54, 59, 88, 136, 57, 30, 258, 312, 724, 1410, 678, 712, 1622, 1328, 364]$ |
| 1.6.M.6.2a |
$1$ |
$6$ |
$3$ |
$\mathrm{SU}(2)_{3}$ |
$M(C_6)$ |
$6$ |
$1/3$ |
$3$ |
$38$ |
$715$ |
$16506$ |
$427686$ |
$427686$ |
$2$ |
$11$ |
$83$ |
$769$ |
$8078$ |
$91677$ |
$15$ |
$1984$ |
$434622$ |
|
✓ |
$[1, 3, 8, 6, 11, 60, 60, 86, 138, 54, 32, 265, 312, 727, 1416, 677, 705, 1620, 1328, 359]$ |
| 1.6.M.8.3a |
$1$ |
$6$ |
$3$ |
$\mathrm{SU}(2)_{3}$ |
$M(D_4)$ |
$8$ |
$0$ |
$2$ |
$22$ |
$460$ |
$11494$ |
$310044$ |
$310044$ |
$2$ |
$9$ |
$59$ |
$539$ |
$5772$ |
$66783$ |
$9$ |
$1388$ |
$320178$ |
|
✓ |
$[1, 2, 6, 5, 9, 40, 46, 70, 103, 46, 23, 195, 237, 544, 1056, 513, 539, 1220, 1002, 277]$ |
| 1.6.M.12.3a |
$1$ |
$6$ |
$3$ |
$\mathrm{SU}(2)_{3}$ |
$M(A_4)$ |
$12$ |
$2/3$ |
$1$ |
$14$ |
$305$ |
$7658$ |
$206682$ |
$206682$ |
$1$ |
$5$ |
$37$ |
$353$ |
$3831$ |
$44475$ |
$7$ |
$928$ |
$213454$ |
|
✓ |
$[1, 1, 4, 4, 5, 28, 30, 44, 68, 30, 16, 129, 156, 363, 708, 339, 359, 812, 664, 187]$ |
| 1.6.M.12.4a |
$1$ |
$6$ |
$3$ |
$\mathrm{SU}(2)_{3}$ |
$M(D_6)$ |
$12$ |
$1/6$ |
$2$ |
$20$ |
$360$ |
$8260$ |
$213864$ |
$213864$ |
$2$ |
$8$ |
$48$ |
$402$ |
$4087$ |
$45972$ |
$8$ |
$994$ |
$217328$ |
✓ |
✓ |
$[1, 2, 5, 4, 8, 30, 33, 50, 70, 33, 18, 134, 162, 366, 708, 346, 364, 818, 672, 190]$ |
| 1.6.M.24.12a |
$1$ |
$6$ |
$3$ |
$\mathrm{SU}(2)_{3}$ |
$M(S_4)$ |
$24$ |
$1/3$ |
$1$ |
$8$ |
$155$ |
$3836$ |
$103362$ |
$103362$ |
$1$ |
$4$ |
$22$ |
$186$ |
$1941$ |
$22308$ |
$4$ |
$466$ |
$106744$ |
✓ |
✓ |
$[1, 1, 3, 3, 4, 14, 17, 26, 35, 19, 9, 66, 81, 183, 354, 174, 186, 410, 338, 100]$ |
