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.24.12b |
$1$ |
$4$ |
$1$ |
$\mathrm{U}(1)_{2}$ |
$O$ |
$24$ |
$3/8$ |
$2$ |
$12$ |
$100$ |
$1050$ |
$12852$ |
$12852$ |
$1$ |
$4$ |
$11$ |
$45$ |
$181$ |
$837$ |
|
|
|
|
✓ |
$[1, 2, 3, 4, 6, 7, 6, 16, 18, 16]$ |
1.6.H.8.2a |
$1$ |
$6$ |
$3$ |
$\mathrm{U}(1)^3$ |
$H_{c,at}$ |
$8$ |
$3/8$ |
$2$ |
$18$ |
$290$ |
$6230$ |
$154602$ |
$154602$ |
$2$ |
$7$ |
$38$ |
$293$ |
$2822$ |
$30805$ |
$7$ |
$699$ |
$142000$ |
✓ |
✓ |
$[1, 2, 4, 3, 7, 22, 23, 33, 44, 20, 15, 101, 110, 240, 450, 215, 228, 498, 416, 112]$ |
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.L.8.2c |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_2(C_{4,1})$ |
$8$ |
$3/8$ |
$3$ |
$39$ |
$780$ |
$19075$ |
$521388$ |
$521388$ |
$2$ |
$10$ |
$77$ |
$754$ |
$8397$ |
$101047$ |
$13$ |
$1977$ |
$493540$ |
|
✓ |
$[1, 3, 7, 6, 13, 62, 63, 87, 143, 61, 43, 330, 380, 875, 1712, 860, 867, 2082, 1790, 513]$ |
1.6.L.8.5e |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_2(D_2)$ |
$8$ |
$3/8$ |
$3$ |
$39$ |
$780$ |
$19075$ |
$521388$ |
$521388$ |
$2$ |
$11$ |
$80$ |
$763$ |
$8422$ |
$101117$ |
$14$ |
$1986$ |
$493640$ |
|
✓ |
$[1, 3, 8, 7, 14, 62, 65, 92, 145, 70, 44, 331, 390, 877, 1712, 873, 874, 2102, 1803, 539]$ |
1.6.L.8.5f |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_2(J(C_2))$ |
$8$ |
$3/8$ |
$3$ |
$39$ |
$780$ |
$19075$ |
$521388$ |
$521388$ |
$2$ |
$12$ |
$83$ |
$774$ |
$8457$ |
$101229$ |
$15$ |
$2001$ |
$493860$ |
|
✓ |
$[1, 3, 9, 8, 15, 62, 67, 99, 149, 83, 45, 334, 402, 879, 1712, 890, 893, 2144, 1838, 595]$ |
1.6.L.8.5g |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_2(D_{2,1})$ |
$8$ |
$3/8$ |
$3$ |
$39$ |
$780$ |
$19075$ |
$521388$ |
$521388$ |
$3$ |
$14$ |
$90$ |
$794$ |
$8518$ |
$101411$ |
$15$ |
$2001$ |
$493860$ |
|
✓ |
$[1, 3, 9, 6, 15, 62, 63, 99, 143, 67, 43, 334, 380, 877, 1712, 862, 893, 2082, 1802, 515]$ |
1.6.L.16.11a |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(J(D_4),D_{4,1})$ |
$16$ |
$3/8$ |
$2$ |
$18$ |
$335$ |
$8575$ |
$245637$ |
$245637$ |
$2$ |
$8$ |
$44$ |
$372$ |
$4032$ |
$48986$ |
$8$ |
$957$ |
$243140$ |
|
✓ |
$[1, 2, 5, 4, 8, 27, 33, 52, 73, 40, 19, 157, 192, 436, 856, 434, 454, 1048, 899, 267]$ |
1.6.L.16.11b |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(J(D_4),J(D_2))$ |
$16$ |
$3/8$ |
$2$ |
$18$ |
$335$ |
$8575$ |
$245637$ |
$245637$ |
$2$ |
$8$ |
$44$ |
$372$ |
$4032$ |
$48986$ |
$9$ |
$969$ |
$243300$ |
|
✓ |
$[1, 2, 5, 5, 8, 27, 34, 53, 76, 47, 20, 157, 203, 438, 856, 449, 456, 1079, 914, 308]$ |
1.6.L.24.14c |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_2(J(D_3))$ |
$24$ |
$3/8$ |
$2$ |
$18$ |
$300$ |
$6790$ |
$179172$ |
$179172$ |
$2$ |
$8$ |
$41$ |
$312$ |
$3082$ |
$35241$ |
$8$ |
$744$ |
$168750$ |
|
✓ |
$[1, 2, 5, 4, 8, 23, 26, 41, 53, 34, 18, 117, 141, 298, 575, 305, 312, 725, 625, 210]$ |
1.6.L.24.14d |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L_2(D_{6,1})$ |
$24$ |
$3/8$ |
$2$ |
$18$ |
$300$ |
$6790$ |
$179172$ |
$179172$ |
$2$ |
$8$ |
$42$ |
$316$ |
$3097$ |
$35291$ |
$8$ |
$744$ |
$168750$ |
|
✓ |
$[1, 2, 5, 4, 8, 23, 26, 41, 51, 30, 18, 117, 137, 298, 575, 299, 312, 705, 613, 184]$ |
1.6.L.48.48a |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(J(O),J(T))$ |
$48$ |
$3/8$ |
$2$ |
$15$ |
$195$ |
$3780$ |
$93177$ |
$93177$ |
$2$ |
$7$ |
$32$ |
$209$ |
$1822$ |
$19275$ |
$7$ |
$471$ |
$89720$ |
|
✓ |
$[1, 2, 4, 3, 6, 14, 16, 25, 30, 20, 10, 60, 73, 153, 294, 156, 164, 365, 315, 107]$ |
1.6.L.48.48b |
$1$ |
$6$ |
$6$ |
$\mathrm{U}(1)\times\mathrm{U}(1)_2$ |
$L(J(O),O_1)$ |
$48$ |
$3/8$ |
$2$ |
$15$ |
$195$ |
$3780$ |
$93177$ |
$93177$ |
$2$ |
$7$ |
$32$ |
$209$ |
$1822$ |
$19275$ |
$7$ |
$474$ |
$89770$ |
|
✓ |
$[1, 2, 4, 3, 6, 14, 16, 23, 29, 17, 10, 60, 70, 153, 294, 152, 159, 355, 309, 94]$ |