| 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.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.4.1b |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$A(1,4)_2$ |
$4$ |
$0$ |
$6$ |
$126$ |
$3660$ |
$114870$ |
$3720276$ |
$3720276$ |
$3$ |
$27$ |
$309$ |
$3963$ |
$53073$ |
$727101$ |
$44$ |
$11820$ |
$3864140$ |
|
✓ |
$[1, 6, 22, 22, 41, 320, 370, 570, 1054, 456, 216, 2259, 2872, 7146, 14784, 7706, 7891, 19640, 17460, 5178]$ |
| 1.6.N.4.2a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$A(2,2)$ |
$4$ |
$0$ |
$6$ |
$126$ |
$3660$ |
$114870$ |
$3720276$ |
$3720276$ |
$3$ |
$27$ |
$309$ |
$3963$ |
$53073$ |
$727101$ |
$44$ |
$11820$ |
$3864140$ |
|
✓ |
$[1, 6, 22, 26, 45, 320, 382, 582, 1062, 492, 224, 2259, 2928, 7154, 14784, 7782, 7911, 19760, 17520, 5350]$ |
| 1.6.N.6.2b |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$A(1,6)_2$ |
$6$ |
$0$ |
$6$ |
$102$ |
$2620$ |
$78470$ |
$2500596$ |
$2500596$ |
$3$ |
$23$ |
$233$ |
$2795$ |
$36273$ |
$490017$ |
$36$ |
$8148$ |
$2589240$ |
|
✓ |
$[1, 6, 18, 18, 33, 224, 256, 388, 714, 310, 156, 1519, 1928, 4774, 9876, 5154, 5279, 13112, 11656, 3466]$ |
| 1.6.N.6.2c |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$A(3,2)$ |
$6$ |
$1/3$ |
$6$ |
$114$ |
$2860$ |
$82530$ |
$2566116$ |
$2566116$ |
$3$ |
$25$ |
$257$ |
$3009$ |
$38053$ |
$504399$ |
$40$ |
$8680$ |
$2642580$ |
|
✓ |
$[1, 6, 20, 18, 35, 244, 268, 398, 726, 310, 156, 1553, 1952, 4806, 9924, 5162, 5269, 13116, 11664, 3462]$ |
| 1.6.N.7.1a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$A(1,7)$ |
$7$ |
$0$ |
$6$ |
$90$ |
$2220$ |
$66570$ |
$2132676$ |
$2132676$ |
$3$ |
$21$ |
$201$ |
$2373$ |
$30813$ |
$417675$ |
$32$ |
$6936$ |
$2213420$ |
|
✓ |
$[1, 6, 16, 14, 27, 188, 214, 324, 606, 252, 128, 1293, 1632, 4082, 8454, 4386, 4509, 11192, 9966, 2914]$ |
| 1.6.N.8.1b |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$A(1,8)_1$ |
$8$ |
$0$ |
$6$ |
$90$ |
$2100$ |
$60270$ |
$1890756$ |
$1890756$ |
$3$ |
$21$ |
$195$ |
$2211$ |
$27873$ |
$371475$ |
$32$ |
$6356$ |
$1955060$ |
|
✓ |
$[1, 6, 16, 14, 27, 176, 196, 292, 538, 232, 116, 1143, 1444, 3578, 7408, 3866, 3949, 9828, 8742, 2594]$ |
| 1.6.N.8.1c |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$A(1,8)_2$ |
$8$ |
$0$ |
$6$ |
$102$ |
$2460$ |
$68390$ |
$2057076$ |
$2057076$ |
$3$ |
$23$ |
$225$ |
$2555$ |
$31393$ |
$405617$ |
$36$ |
$7236$ |
$2086800$ |
|
✓ |
$[1, 6, 18, 18, 33, 208, 228, 332, 590, 254, 136, 1259, 1556, 3766, 7664, 3962, 4047, 10012, 8856, 2630]$ |
| 1.6.N.8.2b |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$A(2,4)$ |
$8$ |
$0$ |
$6$ |
$102$ |
$2460$ |
$68390$ |
$2057076$ |
$2057076$ |
$3$ |
$23$ |
$225$ |
$2555$ |
$31393$ |
$405617$ |
$36$ |
$7244$ |
$2086980$ |
|
✓ |
$[1, 6, 18, 18, 33, 208, 230, 334, 590, 264, 136, 1259, 1568, 3770, 7664, 3990, 4051, 10048, 8876, 2702]$ |
| 1.6.N.9.2b |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$A(3,3)$ |
$9$ |
$2/9$ |
$6$ |
$90$ |
$1980$ |
$54810$ |
$1694196$ |
$1694196$ |
$3$ |
$21$ |
$189$ |
$2061$ |
$25353$ |
$333675$ |
$32$ |
$5784$ |
$1743680$ |
|
✓ |
$[1, 6, 16, 14, 27, 164, 178, 264, 486, 204, 116, 1029, 1284, 3194, 6612, 3438, 3537, 8732, 7776, 2290]$ |
| 1.6.N.12.2b |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$A(3,4)$ |
$12$ |
$1/6$ |
$6$ |
$90$ |
$1900$ |
$48930$ |
$1416996$ |
$1416996$ |
$3$ |
$21$ |
$185$ |
$1929$ |
$22453$ |
$281095$ |
$32$ |
$5288$ |
$1426100$ |
|
✓ |
$[1, 6, 16, 14, 27, 156, 164, 230, 406, 170, 100, 865, 1056, 2534, 5148, 2654, 2705, 6676, 5916, 1754]$ |
| 1.6.N.12.2c |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$A(1,12)$ |
$12$ |
$0$ |
$6$ |
$102$ |
$2460$ |
$67270$ |
$1956276$ |
$1956276$ |
$3$ |
$23$ |
$225$ |
$2539$ |
$30673$ |
$385857$ |
$36$ |
$7140$ |
$1934600$ |
|
✓ |
$[1, 6, 18, 18, 33, 208, 228, 324, 566, 238, 136, 1219, 1484, 3454, 6852, 3398, 3455, 8344, 7108, 2054]$ |
| 1.6.N.12.5b |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$A(6,2)$ |
$12$ |
$1/6$ |
$6$ |
$90$ |
$1860$ |
$47250$ |
$1369116$ |
$1369116$ |
$3$ |
$21$ |
$183$ |
$1881$ |
$21723$ |
$271935$ |
$32$ |
$5160$ |
$1388060$ |
|
✓ |
$[1, 6, 16, 14, 27, 152, 160, 222, 390, 174, 92, 825, 1032, 2450, 5028, 2634, 2649, 6620, 5880, 1798]$ |
| 1.6.N.12.5c |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$A(2,6)$ |
$12$ |
$0$ |
$6$ |
$102$ |
$2460$ |
$67270$ |
$1956276$ |
$1956276$ |
$3$ |
$23$ |
$225$ |
$2539$ |
$30673$ |
$385857$ |
$36$ |
$7140$ |
$1934600$ |
|
✓ |
$[1, 6, 18, 18, 33, 208, 228, 324, 566, 238, 136, 1219, 1484, 3454, 6852, 3402, 3455, 8348, 7108, 2070]$ |
| 1.6.N.16.2a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$A(4,4)$ |
$16$ |
$0$ |
$6$ |
$90$ |
$1860$ |
$45150$ |
$1225476$ |
$1225476$ |
$3$ |
$21$ |
$183$ |
$1851$ |
$20553$ |
$244875$ |
$32$ |
$4956$ |
$1198400$ |
|
✓ |
$[1, 6, 16, 14, 27, 152, 154, 210, 354, 150, 92, 759, 888, 2078, 4104, 2094, 2121, 5192, 4554, 1378]$ |
| 1.6.N.18.5a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$A(3,6)$ |
$18$ |
$1/9$ |
$6$ |
$90$ |
$1900$ |
$48090$ |
$1346436$ |
$1346436$ |
$3$ |
$21$ |
$185$ |
$1917$ |
$21933$ |
$267315$ |
$32$ |
$5208$ |
$1320720$ |
|
✓ |
$[1, 6, 16, 14, 27, 156, 162, 224, 390, 156, 100, 837, 996, 2322, 4604, 2270, 2313, 5556, 4744, 1354]$ |
| 1.6.N.36.14a |
$1$ |
$6$ |
$1$ |
$\mathrm{U}(1)_{3}$ |
$A(6,6)$ |
$36$ |
$1/18$ |
$6$ |
$90$ |
$1860$ |
$44730$ |
$1172556$ |
$1172556$ |
$3$ |
$21$ |
$183$ |
$1845$ |
$20223$ |
$234135$ |
$32$ |
$4920$ |
$1109240$ |
|
✓ |
$[1, 6, 16, 14, 27, 152, 154, 204, 342, 132, 92, 741, 852, 1886, 3600, 1686, 1701, 3968, 3228, 886]$ |
