Sato-Tate group search results

Results (19 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.D.2.1b	$1$	$4$	$2$	$\mathrm{U}(1)\times\mathrm{U}(1)$	$F_a$	$2$	$0$	$3$	$21$	$210$	$2485$	$31878$	$31878$	$2$	$6$	$20$	$82$	$372$	$1824$					✓	$[1, 3, 3, 7, 12, 9, 15, 37, 42, 21]$
1.6.D.1.1a	$1$	$6$	$11$	$\mathrm{U}(1)\times\mathrm{USp}(4)$	$\mathrm{U}(1)\times \mathrm{USp}(4)$	$1$	$0$	$3$	$21$	$214$	$2758$	$41796$	$41796$	$2$	$7$	$32$	$181$	$1193$	$8801$	$8$	$348$	$29536$		✓	$[1, 3, 4, 3, 6, 13, 11, 10, 13, 6, 10, 27, 24, 34, 50, 24, 20, 34, 27, 10]$
1.6.J.6.1a	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J(J(E_3),E_3)$	$6$	$1/2$	$2$	$21$	$335$	$6797$	$159138$	$159138$	$2$	$8$	$45$	$348$	$3267$	$34220$	$8$	$828$	$154420$		✓	$[1, 2, 5, 4, 9, 26, 28, 40, 54, 25, 17, 102, 117, 245, 466, 219, 227, 485, 395, 105]$
1.6.J.8.3b	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J(J(E_4),E_4)$	$8$	$1/2$	$2$	$21$	$330$	$6419$	$142548$	$142548$	$2$	$8$	$44$	$329$	$2962$	$29790$	$8$	$762$	$129760$		✓	$[1, 2, 5, 4, 9, 25, 26, 37, 46, 26, 16, 93, 104, 202, 368, 182, 181, 392, 316, 104]$
1.6.J.12.4c	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J(J(E_6),E_6)$	$12$	$1/2$	$2$	$21$	$330$	$6405$	$140868$	$140868$	$2$	$8$	$44$	$328$	$2932$	$29110$	$8$	$756$	$124500$		✓	$[1, 2, 5, 4, 9, 25, 26, 36, 44, 23, 16, 92, 102, 192, 340, 156, 161, 332, 257, 80]$
1.6.L.16.11c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_{4,1})$	$16$	$7/16$	$2$	$21$	$395$	$9555$	$260757$	$260757$	$2$	$8$	$47$	$402$	$4272$	$50741$	$8$	$1005$	$246980$		✓	$[1, 2, 5, 4, 9, 31, 34, 52, 73, 38, 23, 168, 196, 440, 856, 438, 451, 1052, 909, 271]$
1.6.L.16.14a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(J(D_2))$	$16$	$7/16$	$2$	$21$	$395$	$9555$	$260757$	$260757$	$2$	$9$	$50$	$412$	$4302$	$50832$	$9$	$1017$	$247140$		✓	$[1, 2, 6, 5, 10, 31, 36, 58, 76, 49, 24, 170, 207, 442, 856, 453, 464, 1083, 933, 312]$
1.6.L.24.12a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(O_1,T)$	$24$	$1/2$	$2$	$21$	$340$	$7245$	$184212$	$184212$	$2$	$8$	$45$	$349$	$3372$	$37405$	$8$	$828$	$176660$		✓	$[1, 2, 5, 4, 9, 26, 28, 43, 56, 30, 18, 117, 138, 300, 588, 298, 316, 708, 609, 182]$
1.6.L.24.13a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(T),T)$	$24$	$1/2$	$2$	$21$	$340$	$7245$	$184212$	$184212$	$2$	$8$	$44$	$344$	$3352$	$37335$	$8$	$828$	$176660$		✓	$[1, 2, 5, 4, 9, 26, 28, 40, 56, 29, 18, 116, 138, 300, 588, 298, 306, 708, 606, 182]$
1.6.L.48.48d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(O),O)$	$48$	$1/2$	$2$	$21$	$330$	$6440$	$145152$	$145152$	$2$	$8$	$44$	$329$	$2962$	$29980$	$8$	$759$	$131450$		✓	$[1, 2, 5, 4, 9, 25, 26, 37, 45, 25, 16, 94, 105, 207, 380, 187, 195, 420, 350, 112]$
1.6.N.24.12a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(C(2,2))$	$24$	$5/6$	$1$	$21$	$610$	$19145$	$620046$	$620046$	$1$	$7$	$58$	$681$	$8906$	$121366$	$8$	$1972$	$644030$		✓	$[1, 1, 6, 5, 10, 54, 66, 107, 177, 91, 38, 381, 488, 1193, 2466, 1297, 1343, 3294, 2938, 895]$
1.6.N.24.13a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(C(2,2))$	$24$	$5/6$	$1$	$21$	$610$	$19145$	$620046$	$620046$	$1$	$6$	$56$	$674$	$8886$	$121305$	$8$	$1972$	$644030$		✓	$[1, 1, 5, 5, 9, 54, 65, 103, 177, 86, 38, 378, 488, 1193, 2466, 1297, 1334, 3294, 2926, 895]$
1.6.N.48.29a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(B(T,1;1))$	$48$	$1/2$	$2$	$21$	$400$	$10535$	$320292$	$320292$	$2$	$8$	$48$	$432$	$4942$	$63451$	$8$	$1130$	$328730$		✓	$[1, 2, 5, 4, 9, 32, 37, 61, 94, 46, 24, 198, 246, 602, 1242, 652, 688, 1646, 1474, 440]$
1.6.N.96.193a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(O,1))$	$96$	$7/12$	$2$	$21$	$330$	$7000$	$184212$	$184212$	$2$	$8$	$44$	$337$	$3277$	$37376$	$8$	$815$	$183520$	✓	✓	$[1, 2, 5, 4, 9, 25, 28, 41, 55, 35, 16, 112, 145, 313, 637, 351, 353, 856, 761, 264]$
1.6.N.96.193b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(B(T,2))$	$96$	$7/12$	$2$	$21$	$340$	$7385$	$194292$	$194292$	$2$	$8$	$45$	$351$	$3452$	$39361$	$8$	$844$	$191450$		✓	$[1, 2, 5, 4, 9, 26, 29, 44, 58, 33, 18, 121, 150, 328, 658, 350, 366, 856, 765, 246]$
1.6.N.96.201a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(T,2))$	$96$	$7/12$	$2$	$21$	$340$	$7385$	$194292$	$194292$	$2$	$8$	$44$	$346$	$3432$	$39291$	$8$	$844$	$191450$		✓	$[1, 2, 5, 4, 9, 26, 29, 41, 58, 32, 18, 120, 150, 328, 658, 350, 356, 856, 762, 246]$
1.6.N.144.125a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(B(T,3))$	$144$	$5/9$	$2$	$21$	$340$	$7245$	$184212$	$184212$	$2$	$8$	$45$	$349$	$3372$	$37411$	$8$	$828$	$176810$	✓	✓	$[1, 2, 5, 4, 9, 26, 28, 43, 56, 30, 18, 117, 138, 300, 589, 298, 318, 712, 616, 186]$
1.6.N.144.127a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(T,3))$	$144$	$5/9$	$2$	$21$	$340$	$7245$	$184212$	$184212$	$2$	$8$	$44$	$344$	$3352$	$37341$	$8$	$828$	$176810$	✓	✓	$[1, 2, 5, 4, 9, 26, 28, 40, 56, 29, 18, 116, 138, 300, 589, 298, 308, 712, 613, 186]$
1.6.N.192.988a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(O,2))$	$192$	$13/24$	$2$	$21$	$330$	$6440$	$146412$	$146412$	$2$	$8$	$44$	$329$	$2967$	$30271$	$8$	$759$	$134480$	✓	✓	$[1, 2, 5, 4, 9, 25, 26, 37, 45, 25, 16, 94, 105, 213, 397, 203, 214, 476, 418, 134]$