Sato-Tate group search results

Results (11 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.F.24.12a	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$O_1$	$24$	$5/8$	$1$	$6$	$60$	$770$	$10836$	$10836$	$1$	$3$	$8$	$30$	$126$	$617$					✓	$[1, 1, 2, 3, 4, 5, 5, 14, 16, 12]$
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.K.24.12a	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times O_1$	$24$	$0$	$2$	$14$	$185$	$3444$	$77658$	$77658$	$2$	$7$	$33$	$211$	$1722$	$16630$	$7$	$444$	$70765$		✓	$[1, 2, 4, 3, 5, 14, 14, 22, 25, 12, 10, 52, 55, 115, 204, 94, 111, 214, 169, 47]$
1.6.K.24.12b	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times O$	$24$	$0$	$3$	$26$	$345$	$5824$	$116004$	$116004$	$2$	$9$	$51$	$358$	$2902$	$26245$	$12$	$810$	$106345$		✓	$[1, 3, 6, 5, 7, 26, 24, 29, 40, 17, 13, 72, 76, 151, 260, 116, 123, 254, 191, 56]$
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.24.12b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(O_1)$	$24$	$0$	$3$	$24$	$350$	$7280$	$184338$	$184338$	$2$	$8$	$45$	$349$	$3372$	$37405$	$10$	$852$	$176980$		✓	$[1, 3, 5, 5, 8, 26, 29, 37, 57, 28, 20, 117, 140, 303, 588, 301, 303, 710, 606, 185]$
1.6.L.24.12c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(O,T)$	$24$	$1/4$	$3$	$27$	$380$	$7525$	$186228$	$186228$	$2$	$9$	$51$	$382$	$3542$	$38255$	$12$	$924$	$179220$		✓	$[1, 3, 6, 5, 8, 28, 29, 37, 57, 29, 18, 116, 138, 303, 588, 301, 300, 708, 606, 185]$
1.6.L.24.12d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(O)$	$24$	$0$	$4$	$42$	$660$	$12880$	$290304$	$290304$	$2$	$11$	$75$	$622$	$5822$	$59665$	$16$	$1518$	$262900$		✓	$[1, 4, 8, 8, 13, 50, 50, 59, 90, 43, 32, 184, 210, 414, 760, 374, 359, 840, 685, 224]$
1.6.M.24.12a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(S_4)$	$24$	$1/3$	$1$	$8$	$155$	$3836$	$103362$	$103362$	$1$	$4$	$22$	$186$	$1941$	$22308$	$4$	$466$	$106744$	✓	✓	$[1, 1, 3, 3, 4, 14, 17, 26, 35, 19, 9, 66, 81, 183, 354, 174, 186, 410, 338, 100]$
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.24.12b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$D(2,2)$	$24$	$1/3$	$2$	$24$	$620$	$19180$	$620172$	$620172$	$1$	$6$	$55$	$670$	$8871$	$121254$	$10$	$1994$	$644320$		✓	$[1, 2, 5, 8, 10, 54, 71, 104, 182, 103, 42, 378, 516, 1200, 2466, 1338, 1332, 3354, 2954, 984]$