| 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.E.3.1a |
$1$ |
$6$ |
$9$ |
$\mathrm{SU}(2)^3$ |
$E_{s}$ |
$3$ |
$2/3$ |
$1$ |
$8$ |
$95$ |
$1414$ |
$24402$ |
$24402$ |
$1$ |
$4$ |
$20$ |
$121$ |
$851$ |
$6703$ |
$5$ |
$244$ |
$24525$ |
|
✓ |
$[1, 1, 3, 2, 2, 8, 7, 9, 10, 4, 4, 15, 15, 30, 48, 19, 27, 40, 26, 8]$ |
| 1.6.H.3.1a |
$1$ |
$6$ |
$3$ |
$\mathrm{U}(1)^3$ |
$H_{s}$ |
$3$ |
$2/3$ |
$2$ |
$30$ |
$620$ |
$14910$ |
$390852$ |
$390852$ |
$1$ |
$7$ |
$61$ |
$615$ |
$6741$ |
$78043$ |
$12$ |
$1644$ |
$369720$ |
|
✓ |
$[1, 2, 6, 6, 9, 52, 52, 68, 114, 46, 32, 247, 284, 630, 1204, 562, 569, 1320, 1070, 294]$ |
| 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.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.N.3.1a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$A(3,1)$ |
$3$ |
$2/3$ |
$6$ |
$162$ |
$4860$ |
$153090$ |
$4960116$ |
$4960116$ |
$3$ |
$33$ |
$405$ |
$5265$ |
$70713$ |
$969327$ |
$56$ |
$15720$ |
$5151620$ |
|
✓ |
$[1, 6, 28, 26, 51, 428, 484, 750, 1398, 582, 284, 3009, 3792, 9518, 19716, 10218, 10509, 26108, 23232, 6790]$ |
| 1.6.N.12.2a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$J_n(A(3,2))$ |
$12$ |
$2/3$ |
$3$ |
$57$ |
$1430$ |
$41265$ |
$1283058$ |
$1283058$ |
$2$ |
$14$ |
$131$ |
$1510$ |
$19037$ |
$252221$ |
$20$ |
$4340$ |
$1321290$ |
|
✓ |
$[1, 3, 11, 9, 19, 122, 135, 201, 363, 158, 78, 778, 976, 2403, 4962, 2581, 2636, 6558, 5838, 1731]$ |
| 1.6.N.12.3a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$C(2,2)$ |
$12$ |
$2/3$ |
$2$ |
$42$ |
$1220$ |
$38290$ |
$1240092$ |
$1240092$ |
$1$ |
$9$ |
$103$ |
$1321$ |
$17691$ |
$242367$ |
$16$ |
$3944$ |
$1288060$ |
|
✓ |
$[1, 2, 8, 10, 15, 108, 128, 194, 354, 166, 76, 753, 976, 2386, 4932, 2594, 2641, 6588, 5840, 1790]$ |
| 1.6.N.12.4a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$J(B(3,1))$ |
$12$ |
$2/3$ |
$2$ |
$42$ |
$1220$ |
$38290$ |
$1240092$ |
$1240092$ |
$2$ |
$12$ |
$112$ |
$1348$ |
$17772$ |
$242610$ |
$15$ |
$3941$ |
$1288050$ |
|
✓ |
$[1, 2, 9, 9, 18, 107, 129, 206, 354, 170, 75, 756, 976, 2385, 4929, 2594, 2665, 6587, 5852, 1785]$ |
| 1.6.N.12.4d |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$J(A(3,2))$ |
$12$ |
$2/3$ |
$3$ |
$57$ |
$1430$ |
$41265$ |
$1283058$ |
$1283058$ |
$3$ |
$17$ |
$142$ |
$1545$ |
$19148$ |
$252564$ |
$20$ |
$4340$ |
$1321290$ |
|
✓ |
$[1, 3, 12, 9, 22, 122, 136, 217, 363, 163, 78, 781, 976, 2403, 4962, 2581, 2675, 6558, 5850, 1731]$ |
| 1.6.N.12.5a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$J_s(A(3,2))$ |
$12$ |
$2/3$ |
$3$ |
$57$ |
$1430$ |
$41265$ |
$1283058$ |
$1283058$ |
$2$ |
$14$ |
$133$ |
$1518$ |
$19067$ |
$252321$ |
$20$ |
$4340$ |
$1321290$ |
|
✓ |
$[1, 3, 11, 9, 19, 122, 135, 205, 363, 158, 78, 778, 976, 2403, 4962, 2581, 2648, 6558, 5838, 1731]$ |
| 1.6.N.21.1a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$C(1,7)$ |
$21$ |
$2/3$ |
$2$ |
$30$ |
$740$ |
$22190$ |
$710892$ |
$710892$ |
$1$ |
$7$ |
$67$ |
$791$ |
$10271$ |
$139225$ |
$12$ |
$2316$ |
$737820$ |
|
✓ |
$[1, 2, 6, 6, 9, 64, 72, 108, 202, 86, 44, 431, 544, 1362, 2822, 1462, 1507, 3732, 3322, 978]$ |
| 1.6.N.48.3a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$C(4,4)$ |
$48$ |
$2/3$ |
$2$ |
$30$ |
$620$ |
$15050$ |
$408492$ |
$408492$ |
$1$ |
$7$ |
$61$ |
$617$ |
$6851$ |
$81625$ |
$12$ |
$1656$ |
$399480$ |
|
✓ |
$[1, 2, 6, 6, 9, 52, 52, 70, 118, 52, 32, 253, 296, 694, 1372, 698, 711, 1732, 1518, 466]$ |
| 1.6.N.48.29b |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$J_s(B(T,1))$ |
$48$ |
$2/3$ |
$2$ |
$27$ |
$520$ |
$12565$ |
$353052$ |
$353052$ |
$2$ |
$9$ |
$60$ |
$539$ |
$5832$ |
$70642$ |
$10$ |
$1396$ |
$355400$ |
|
✓ |
$[1, 2, 6, 4, 10, 42, 43, 66, 100, 46, 24, 215, 258, 618, 1266, 656, 683, 1648, 1478, 438]$ |
| 1.6.N.48.33a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$J(B(T,1))$ |
$48$ |
$2/3$ |
$2$ |
$27$ |
$520$ |
$12565$ |
$353052$ |
$353052$ |
$2$ |
$9$ |
$59$ |
$534$ |
$5812$ |
$70572$ |
$10$ |
$1396$ |
$355400$ |
|
✓ |
$[1, 2, 6, 4, 10, 42, 43, 63, 100, 45, 24, 214, 258, 618, 1266, 656, 673, 1648, 1475, 438]$ |
| 1.6.N.48.48a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$J(D(2,2))$ |
$48$ |
$2/3$ |
$1$ |
$12$ |
$310$ |
$9590$ |
$310086$ |
$310086$ |
$1$ |
$5$ |
$33$ |
$352$ |
$4486$ |
$60779$ |
$5$ |
$997$ |
$322160$ |
|
✓ |
$[1, 1, 4, 4, 7, 27, 37, 60, 91, 57, 21, 192, 258, 600, 1233, 669, 684, 1677, 1489, 492]$ |
| 1.6.N.192.956a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$J(D(4,4))$ |
$192$ |
$2/3$ |
$1$ |
$9$ |
$160$ |
$3780$ |
$102186$ |
$102186$ |
$1$ |
$4$ |
$21$ |
$171$ |
$1761$ |
$20548$ |
$4$ |
$423$ |
$99970$ |
✓ |
✓ |
$[1, 1, 3, 3, 5, 13, 17, 26, 32, 24, 10, 66, 85, 176, 343, 188, 195, 454, 399, 143]$ |
| 1.6.N.336.208a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$J(E(168))$ |
$336$ |
$2/3$ |
$1$ |
$6$ |
$70$ |
$1540$ |
$45486$ |
$45486$ |
$1$ |
$3$ |
$12$ |
$77$ |
$746$ |
$9117$ |
$3$ |
$183$ |
$47040$ |
✓ |
✓ |
$[1, 1, 2, 2, 3, 5, 8, 12, 15, 13, 5, 29, 42, 88, 178, 103, 106, 249, 221, 86]$ |
