Sato-Tate group search results

Results (9 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
1.6.N.16.8c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(1,8)_1$	$16$	$0$	$4$	$48$	$1060$	$30170$	$945504$	$945504$	$2$	$12$	$101$	$1115$	$13962$	$185808$	$18$	$3200$	$977820$		✓	$[1, 4, 9, 10, 16, 88, 105, 153, 274, 136, 62, 573, 750, 1796, 3704, 1974, 1986, 4974, 4405, 1386]$
1.6.N.18.3c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(3,3)$	$18$	$1/9$	$4$	$48$	$1000$	$27440$	$847224$	$847224$	$2$	$12$	$98$	$1040$	$12702$	$166908$	$18$	$2910$	$872040$		✓	$[1, 4, 9, 10, 16, 82, 95, 138, 248, 117, 62, 516, 664, 1602, 3306, 1748, 1778, 4410, 3912, 1206]$
1.6.N.24.1b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(3,4;4)$	$24$	$1/12$	$4$	$48$	$960$	$24500$	$708624$	$708624$	$2$	$12$	$96$	$974$	$11252$	$140618$	$18$	$2658$	$713160$		✓	$[1, 4, 9, 10, 16, 78, 87, 120, 208, 95, 54, 434, 544, 1270, 2574, 1340, 1360, 3362, 2972, 894]$
1.6.N.24.5c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(3,4)$	$24$	$1/12$	$4$	$48$	$960$	$24500$	$708624$	$708624$	$2$	$12$	$96$	$974$	$11252$	$140618$	$18$	$2666$	$713340$		✓	$[1, 4, 9, 10, 16, 78, 89, 122, 208, 105, 54, 434, 556, 1274, 2574, 1368, 1364, 3398, 2992, 966]$
1.6.N.24.8c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(6,2)$	$24$	$1/12$	$4$	$48$	$940$	$23660$	$684684$	$684684$	$2$	$12$	$95$	$950$	$10887$	$136038$	$18$	$2602$	$694320$		✓	$[1, 4, 9, 10, 16, 76, 87, 118, 200, 107, 50, 414, 544, 1232, 2514, 1358, 1336, 3370, 2974, 988]$
1.6.N.32.11b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(4,4)$	$32$	$0$	$4$	$48$	$940$	$22610$	$612864$	$612864$	$2$	$12$	$95$	$935$	$10302$	$122508$	$18$	$2496$	$599400$		✓	$[1, 4, 9, 10, 16, 76, 83, 111, 182, 90, 50, 381, 466, 1044, 2052, 1074, 1070, 2638, 2301, 742]$
1.6.N.36.6b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(3,6;2)$	$36$	$1/18$	$4$	$48$	$960$	$24080$	$673344$	$673344$	$2$	$12$	$96$	$968$	$10992$	$133728$	$18$	$2622$	$660560$		✓	$[1, 4, 9, 10, 16, 78, 87, 118, 200, 93, 54, 420, 520, 1166, 2302, 1160, 1166, 2818, 2396, 722]$
1.6.N.36.12b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(3,6)$	$36$	$1/18$	$4$	$48$	$960$	$24080$	$673344$	$673344$	$2$	$12$	$96$	$968$	$10992$	$133728$	$18$	$2622$	$660560$		✓	$[1, 4, 9, 10, 16, 78, 87, 118, 200, 93, 54, 420, 520, 1166, 2302, 1164, 1166, 2822, 2396, 738]$
1.6.N.72.30b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(6,6)$	$72$	$1/36$	$4$	$48$	$940$	$22400$	$586404$	$586404$	$2$	$12$	$95$	$932$	$10137$	$117138$	$18$	$2478$	$554820$		✓	$[1, 4, 9, 10, 16, 76, 83, 108, 176, 81, 50, 372, 448, 948, 1800, 870, 860, 2026, 1638, 496]$