Sato-Tate group search results

Results (1-50 of 90 matches)

 

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.E.1.1a	$1$	$4$	$3$	$\mathrm{SU}(2)_{2}$	$E_1$	$1$	$0$	$4$	$32$	$320$	$3584$	$43008$	$43008$	$3$	$10$	$37$	$150$	$654$	$3012$					✓	$[1, 4, 5, 10, 20, 14, 20, 49, 56, 30]$
1.4.F.2.1c	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$C_{2,1}$	$2$	$1/2$	$4$	$48$	$640$	$8960$	$129024$	$129024$	$3$	$11$	$48$	$235$	$1228$	$6650$					✓	$[1, 4, 6, 19, 40, 30, 52, 151, 184, 98]$
1.6.E.1.1a	$1$	$6$	$9$	$\mathrm{SU}(2)^3$	$E$	$1$	$0$	$3$	$24$	$285$	$4242$	$73206$	$73206$	$3$	$12$	$60$	$363$	$2553$	$20109$	$13$	$728$	$73565$		✓	$[1, 3, 7, 4, 6, 22, 19, 27, 30, 10, 10, 45, 45, 88, 140, 57, 77, 118, 78, 20]$
1.6.F.1.1a	$1$	$6$	$7$	$\mathrm{U}(1)\times\mathrm{SU}(2)^2$	$F$	$1$	$0$	$4$	$40$	$570$	$9898$	$195216$	$195216$	$3$	$14$	$84$	$607$	$4993$	$45009$	$18$	$1384$	$181460$		✓	$[1, 4, 9, 6, 10, 44, 39, 47, 66, 22, 20, 121, 124, 244, 420, 174, 179, 358, 258, 62]$
1.6.F.2.1c	$1$	$6$	$7$	$\mathrm{U}(1)\times\mathrm{SU}(2)^2$	$F_{a}$	$2$	$0$	$3$	$25$	$320$	$5243$	$100380$	$100380$	$3$	$12$	$60$	$373$	$2783$	$23759$	$13$	$772$	$92970$		✓	$[1, 3, 7, 4, 7, 24, 21, 30, 34, 13, 13, 65, 65, 125, 210, 90, 104, 182, 135, 34]$
1.6.G.1.1a	$1$	$6$	$5$	$\mathrm{U}(1)^2\times\mathrm{SU}(2)$	$F\times \mathrm{SU}(2)$	$1$	$0$	$5$	$62$	$1065$	$21714$	$492366$	$492366$	$3$	$17$	$123$	$1053$	$10023$	$102549$	$24$	$2600$	$446720$		✓	$[1, 5, 12, 9, 17, 84, 78, 96, 149, 52, 45, 313, 333, 689, 1240, 537, 537, 1177, 894, 221]$
1.6.G.2.1a	$1$	$6$	$5$	$\mathrm{U}(1)^2\times\mathrm{SU}(2)$	$F_{ab}\times \mathrm{SU}(2)$	$2$	$0$	$3$	$32$	$535$	$10864$	$246204$	$246204$	$3$	$13$	$75$	$567$	$5133$	$51639$	$14$	$1316$	$223520$		✓	$[1, 3, 8, 5, 11, 42, 40, 58, 75, 30, 25, 161, 169, 347, 620, 271, 291, 591, 456, 113]$
1.6.G.2.1b	$1$	$6$	$5$	$\mathrm{U}(1)^2\times\mathrm{SU}(2)$	$F_{a}\times \mathrm{SU}(2)$	$2$	$0$	$4$	$41$	$620$	$11739$	$255885$	$255885$	$3$	$14$	$84$	$627$	$5493$	$53714$	$18$	$1460$	$228960$		✓	$[1, 4, 9, 6, 11, 47, 42, 53, 76, 28, 26, 164, 170, 349, 620, 273, 278, 592, 456, 115]$
1.6.G.4.2a	$1$	$6$	$5$	$\mathrm{U}(1)^2\times\mathrm{SU}(2)$	$F_{a,b}\times \mathrm{SU}(2)$	$4$	$0$	$3$	$26$	$355$	$6314$	$132804$	$132804$	$3$	$12$	$60$	$384$	$3048$	$28259$	$13$	$818$	$117360$	✓	✓	$[1, 3, 7, 4, 8, 26, 23, 34, 39, 17, 16, 88, 88, 178, 310, 140, 155, 299, 237, 61]$
1.6.H.1.1a	$1$	$6$	$3$	$\mathrm{U}(1)^3$	$H$	$1$	$0$	$6$	$90$	$1860$	$44730$	$1172556$	$1172556$	$3$	$21$	$183$	$1845$	$20223$	$234129$	$32$	$4920$	$1109120$		✓	$[1, 6, 16, 14, 27, 152, 154, 204, 342, 132, 92, 741, 852, 1886, 3600, 1686, 1695, 3956, 3210, 862]$
1.6.H.2.1a	$1$	$6$	$3$	$\mathrm{U}(1)^3$	$H_{abc}$	$2$	$1/2$	$3$	$45$	$930$	$22365$	$586278$	$586278$	$3$	$15$	$105$	$963$	$10233$	$117429$	$16$	$2460$	$554560$		✓	$[1, 3, 10, 7, 18, 76, 79, 120, 171, 74, 46, 375, 426, 943, 1800, 843, 888, 1978, 1623, 431]$
1.6.H.2.1b	$1$	$6$	$3$	$\mathrm{U}(1)^3$	$H_{ab}$	$2$	$0$	$4$	$48$	$940$	$22400$	$586404$	$586404$	$3$	$15$	$105$	$963$	$10233$	$117429$	$20$	$2508$	$555200$		✓	$[1, 4, 10, 8, 15, 76, 78, 108, 172, 70, 48, 375, 428, 948, 1800, 848, 861, 1980, 1614, 436]$
1.6.H.2.1c	$1$	$6$	$3$	$\mathrm{U}(1)^3$	$H_{a}$	$2$	$0$	$5$	$63$	$1130$	$24815$	$618030$	$618030$	$3$	$17$	$123$	$1089$	$11043$	$122489$	$24$	$2748$	$567360$		✓	$[1, 5, 12, 9, 18, 88, 83, 108, 173, 68, 54, 393, 434, 953, 1800, 853, 854, 1986, 1631, 441]$
1.6.H.4.2a	$1$	$6$	$3$	$\mathrm{U}(1)^3$	$H_{ab,bc}$	$4$	$0$	$3$	$27$	$480$	$11235$	$293328$	$293328$	$3$	$12$	$66$	$522$	$5238$	$59079$	$14$	$1302$	$278240$		✓	$[1, 3, 7, 5, 9, 38, 40, 60, 87, 39, 26, 192, 216, 479, 900, 429, 444, 992, 816, 223]$
1.6.H.4.2b	$1$	$6$	$3$	$\mathrm{U}(1)^3$	$H_{a,bc}$	$4$	$1/4$	$3$	$33$	$570$	$12425$	$309078$	$309078$	$3$	$13$	$75$	$585$	$5643$	$61609$	$14$	$1398$	$284000$		✓	$[1, 3, 8, 5, 12, 44, 43, 66, 87, 40, 28, 201, 218, 479, 900, 429, 454, 994, 829, 223]$
1.6.H.4.2c	$1$	$6$	$3$	$\mathrm{U}(1)^3$	$H_{a,b}$	$4$	$0$	$4$	$42$	$670$	$13650$	$324954$	$324954$	$3$	$14$	$84$	$648$	$6048$	$64139$	$18$	$1542$	$290400$		✓	$[1, 4, 9, 6, 12, 50, 45, 60, 88, 37, 32, 210, 222, 484, 900, 434, 437, 998, 833, 228]$
1.6.H.8.5a	$1$	$6$	$3$	$\mathrm{U}(1)^3$	$H_{a,b,c}$	$8$	$1/8$	$3$	$27$	$390$	$7455$	$170478$	$170478$	$3$	$12$	$60$	$396$	$3348$	$33699$	$13$	$867$	$148720$	✓	✓	$[1, 3, 7, 4, 9, 28, 25, 39, 45, 23, 19, 114, 114, 247, 450, 222, 237, 502, 432, 119]$
1.6.I.2.1b	$1$	$6$	$6$	$\mathrm{SU}(2)\times\mathrm{SU}(2)_2$	$\mathrm{SU}(2)\times J(E_1)$	$2$	$0$	$3$	$30$	$465$	$8806$	$187446$	$187446$	$3$	$13$	$75$	$547$	$4673$	$44171$	$14$	$1228$	$183420$		✓	$[1, 3, 8, 5, 9, 38, 36, 52, 67, 24, 19, 119, 127, 269, 470, 201, 231, 445, 324, 79]$
1.6.J.2.1c	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J(J(E_1),E_1)$	$2$	$1/2$	$3$	$43$	$830$	$18627$	$458010$	$458010$	$3$	$15$	$105$	$923$	$9233$	$99641$	$18$	$2338$	$456520$		✓	$[1, 3, 10, 7, 14, 70, 71, 100, 151, 58, 34, 287, 328, 725, 1376, 631, 646, 1440, 1149, 295]$
1.6.J.2.1d	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_1(J(E_1))$	$2$	$0$	$4$	$46$	$840$	$18662$	$458136$	$458136$	$3$	$15$	$105$	$923$	$9233$	$99641$	$20$	$2356$	$456720$		✓	$[1, 4, 10, 8, 13, 70, 72, 96, 152, 58, 36, 287, 332, 728, 1376, 636, 639, 1444, 1148, 300]$
1.6.J.4.2e	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_2(J(E_1))$	$4$	$1/4$	$3$	$31$	$500$	$10227$	$239820$	$239820$	$3$	$13$	$75$	$563$	$5113$	$52411$	$14$	$1306$	$233480$		✓	$[1, 3, 8, 5, 10, 40, 39, 58, 77, 32, 22, 153, 170, 369, 688, 323, 340, 726, 589, 155]$
1.6.K.2.1b	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times C_2$	$2$	$0$	$5$	$74$	$1485$	$34174$	$853986$	$853986$	$3$	$19$	$153$	$1459$	$15273$	$169613$	$26$	$3724$	$772020$		✓	$[1, 5, 14, 11, 23, 120, 116, 156, 245, 90, 75, 551, 599, 1303, 2384, 1067, 1109, 2465, 1920, 493]$
1.6.K.3.1a	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times C_3$	$3$	$0$	$5$	$62$	$1105$	$23954$	$582246$	$582246$	$3$	$17$	$125$	$1101$	$10933$	$117631$	$24$	$2728$	$527330$		✓	$[1, 5, 12, 9, 17, 88, 82, 108, 169, 60, 53, 373, 401, 877, 1600, 713, 747, 1647, 1280, 327]$
1.6.K.4.1b	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times C_4$	$4$	$0$	$5$	$62$	$1065$	$21854$	$503706$	$503706$	$3$	$17$	$123$	$1055$	$10093$	$104331$	$24$	$2604$	$457280$		✓	$[1, 5, 12, 9, 17, 84, 78, 98, 151, 54, 45, 319, 339, 725, 1304, 575, 595, 1305, 1006, 257]$
1.6.K.4.2c	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times D_{2,1}$	$4$	$0$	$3$	$38$	$745$	$17094$	$427014$	$427014$	$3$	$14$	$90$	$770$	$7758$	$85171$	$15$	$1878$	$386170$		✓	$[1, 3, 9, 6, 14, 60, 59, 88, 123, 49, 40, 280, 302, 654, 1192, 536, 577, 1235, 969, 249]$
1.6.K.6.1b	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times D_{3,2}$	$6$	$0$	$3$	$32$	$555$	$11984$	$291144$	$291144$	$3$	$13$	$76$	$591$	$5588$	$59180$	$14$	$1380$	$263825$		✓	$[1, 3, 8, 5, 11, 44, 42, 64, 85, 34, 29, 191, 203, 441, 800, 359, 396, 826, 649, 166]$
1.6.K.6.2c	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times C_6$	$6$	$0$	$5$	$62$	$1065$	$21714$	$492366$	$492366$	$3$	$17$	$123$	$1053$	$10023$	$102551$	$24$	$2600$	$446730$		✓	$[1, 5, 12, 9, 17, 84, 78, 96, 149, 52, 45, 313, 333, 689, 1240, 537, 539, 1179, 896, 223]$
1.6.K.8.3c	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times D_{4,2}$	$8$	$0$	$3$	$32$	$535$	$10934$	$251874$	$251874$	$3$	$13$	$75$	$568$	$5168$	$52530$	$14$	$1318$	$228800$		✓	$[1, 3, 8, 5, 11, 42, 40, 59, 76, 31, 25, 164, 172, 365, 652, 290, 320, 655, 512, 131]$
1.6.K.12.4d	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times D_{6,2}$	$12$	$0$	$3$	$32$	$535$	$10864$	$246204$	$246204$	$3$	$13$	$75$	$567$	$5133$	$51640$	$14$	$1316$	$223525$		✓	$[1, 3, 8, 5, 11, 42, 40, 58, 75, 30, 25, 161, 169, 347, 620, 271, 292, 592, 457, 114]$
1.6.L.2.1c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(C_2,C_1)$	$2$	$1/2$	$5$	$99$	$2450$	$67235$	$1956150$	$1956150$	$3$	$23$	$225$	$2539$	$30673$	$385793$	$34$	$7122$	$1933000$		✓	$[1, 5, 18, 15, 32, 208, 223, 322, 561, 226, 132, 1219, 1462, 3449, 6848, 3367, 3436, 8250, 7005, 1953]$
1.6.L.2.1d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(C_2)$	$2$	$0$	$6$	$102$	$2460$	$67270$	$1956276$	$1956276$	$3$	$23$	$225$	$2539$	$30673$	$385793$	$36$	$7140$	$1933200$		✓	$[1, 6, 18, 18, 33, 208, 228, 324, 566, 238, 136, 1219, 1484, 3454, 6848, 3394, 3439, 8292, 7024, 2006]$
1.6.L.3.1a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(C_3)$	$3$	$0$	$6$	$90$	$1900$	$48090$	$1346436$	$1346436$	$3$	$21$	$185$	$1917$	$21933$	$267271$	$32$	$5208$	$1319720$		✓	$[1, 6, 16, 14, 27, 156, 162, 224, 390, 156, 100, 837, 996, 2322, 4600, 2266, 2301, 5520, 4688, 1314]$
1.6.L.4.1c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(C_4,C_2)$	$4$	$0$	$5$	$63$	$1310$	$34195$	$982170$	$982170$	$3$	$17$	$135$	$1367$	$15773$	$194891$	$26$	$3762$	$971720$		✓	$[1, 5, 12, 11, 18, 108, 117, 164, 285, 122, 68, 611, 742, 1733, 3424, 1703, 1722, 4146, 3519, 1009]$
1.6.L.4.1d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(C_4)$	$4$	$0$	$6$	$90$	$1860$	$44870$	$1190196$	$1190196$	$3$	$21$	$183$	$1847$	$20333$	$237711$	$32$	$4932$	$1138880$		✓	$[1, 6, 16, 14, 27, 152, 154, 206, 346, 138, 92, 747, 864, 1950, 3768, 1822, 1837, 4368, 3658, 1034]$
1.6.L.4.2h	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{2,1},C_2)$	$4$	$1/2$	$3$	$51$	$1230$	$33635$	$978138$	$978138$	$3$	$16$	$126$	$1310$	$15458$	$193261$	$18$	$3570$	$966600$		✓	$[1, 3, 11, 9, 21, 104, 116, 180, 283, 127, 68, 614, 742, 1727, 3424, 1697, 1760, 4146, 3530, 1003]$
1.6.L.4.2i	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{2,1},C_{2,1})$	$4$	$1/2$	$3$	$51$	$1230$	$33635$	$978138$	$978138$	$3$	$16$	$126$	$1310$	$15458$	$193261$	$19$	$3585$	$966820$		✓	$[1, 3, 11, 8, 19, 104, 113, 173, 281, 119, 67, 614, 732, 1727, 3424, 1686, 1745, 4126, 3516, 979]$
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.L.4.2k	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(C_2)$	$4$	$1/4$	$5$	$75$	$1550$	$38115$	$1042650$	$1042650$	$3$	$19$	$153$	$1507$	$16793$	$202093$	$26$	$3954$	$987080$		✓	$[1, 5, 14, 11, 24, 124, 123, 174, 285, 122, 84, 659, 758, 1749, 3424, 1719, 1732, 4162, 3577, 1025]$
1.6.L.6.1c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{3,2},C_3)$	$6$	$1/2$	$3$	$45$	$950$	$24045$	$673218$	$673218$	$3$	$15$	$106$	$999$	$11088$	$134000$	$16$	$2604$	$659860$		✓	$[1, 3, 10, 7, 18, 78, 83, 130, 195, 86, 50, 423, 498, 1161, 2300, 1133, 1191, 2760, 2362, 657]$
1.6.L.6.1d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_{3,2})$	$6$	$0$	$4$	$48$	$960$	$24080$	$673344$	$673344$	$3$	$15$	$106$	$999$	$11088$	$134000$	$20$	$2652$	$660500$		✓	$[1, 4, 10, 8, 15, 78, 82, 118, 196, 82, 52, 423, 500, 1166, 2300, 1138, 1164, 2762, 2353, 662]$
1.6.L.6.2e	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(C_6,C_3)$	$6$	$1/6$	$5$	$63$	$1130$	$25935$	$693630$	$693630$	$3$	$17$	$123$	$1113$	$11783$	$138071$	$24$	$2892$	$671380$		✓	$[1, 5, 12, 9, 18, 88, 87, 116, 197, 80, 54, 429, 502, 1165, 2300, 1137, 1156, 2764, 2355, 661]$
1.6.L.6.2f	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(C_3)$	$6$	$0$	$5$	$63$	$1170$	$27055$	$716310$	$716310$	$3$	$17$	$125$	$1137$	$12013$	$140051$	$24$	$2892$	$673940$		✓	$[1, 5, 12, 9, 18, 92, 87, 120, 197, 80, 62, 453, 510, 1177, 2300, 1149, 1160, 2772, 2387, 673]$
1.6.L.6.2g	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(C_6)$	$6$	$0$	$6$	$90$	$1860$	$44730$	$1172556$	$1172556$	$3$	$21$	$183$	$1845$	$20223$	$234131$	$32$	$4920$	$1109160$		✓	$[1, 6, 16, 14, 27, 152, 154, 204, 342, 132, 92, 741, 852, 1886, 3600, 1686, 1697, 3960, 3216, 870]$
1.6.L.8.2f	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(C_4)$	$8$	$1/8$	$5$	$63$	$1130$	$24955$	$629370$	$629370$	$3$	$17$	$123$	$1091$	$11113$	$124451$	$24$	$2754$	$582240$		✓	$[1, 5, 12, 9, 18, 88, 83, 110, 175, 72, 54, 399, 440, 989, 1884, 925, 926, 2192, 1865, 531]$
1.6.L.8.3h	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{4,2},D_{2,1})$	$8$	$1/4$	$3$	$33$	$660$	$17115$	$491148$	$491148$	$3$	$13$	$81$	$724$	$8008$	$97810$	$15$	$1905$	$486180$		✓	$[1, 3, 8, 6, 12, 54, 60, 94, 143, 67, 35, 310, 372, 869, 1712, 854, 888, 2074, 1773, 507]$
1.6.L.8.3i	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{4,2},C_4)$	$8$	$1/2$	$3$	$45$	$930$	$22435$	$595098$	$595098$	$3$	$15$	$105$	$964$	$10288$	$119220$	$16$	$2466$	$569440$		✓	$[1, 3, 10, 7, 18, 76, 79, 121, 173, 77, 46, 378, 432, 975, 1884, 911, 959, 2184, 1847, 517]$
1.6.L.8.3j	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_{4,2})$	$8$	$0$	$4$	$48$	$940$	$22470$	$595224$	$595224$	$3$	$15$	$105$	$964$	$10288$	$119220$	$20$	$2514$	$570080$		✓	$[1, 4, 10, 8, 15, 76, 78, 109, 174, 73, 48, 378, 434, 980, 1884, 916, 932, 2186, 1838, 522]$
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.12.4m	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{6,2},D_{3,2})$	$12$	$1/3$	$3$	$33$	$570$	$12985$	$346878$	$346878$	$3$	$13$	$75$	$597$	$6013$	$69400$	$14$	$1470$	$336010$		✓	$[1, 3, 8, 5, 12, 44, 45, 70, 99, 46, 28, 219, 252, 585, 1150, 571, 605, 1383, 1191, 333]$
1.6.L.12.4n	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_{3,2})$	$12$	$1/4$	$3$	$33$	$590$	$13545$	$358218$	$358218$	$3$	$13$	$76$	$609$	$6128$	$70390$	$14$	$1470$	$337290$		✓	$[1, 3, 8, 5, 12, 46, 45, 72, 99, 46, 32, 231, 256, 591, 1150, 577, 607, 1387, 1207, 339]$