Sato-Tate group search results

Results (14 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.4.2a	$1$	$4$	$2$	$\mathrm{U}(1)\times\mathrm{U}(1)$	$F_{a,b}$	$4$	$1/4$	$2$	$12$	$110$	$1260$	$16002$	$16002$	$2$	$5$	$14$	$49$	$202$	$944$				✓	✓	$[1, 2, 2, 5, 6, 6, 8, 19, 22, 12]$
1.4.E.3.1a	$1$	$4$	$3$	$\mathrm{SU}(2)_{2}$	$E_3$	$3$	$0$	$2$	$12$	$110$	$1204$	$14364$	$14364$	$1$	$4$	$13$	$52$	$222$	$1014$					✓	$[1, 2, 3, 4, 8, 6, 8, 17, 20, 12]$
1.4.E.4.1a	$1$	$4$	$3$	$\mathrm{SU}(2)_{2}$	$E_4$	$4$	$1/4$	$2$	$12$	$100$	$1008$	$11424$	$11424$	$1$	$4$	$11$	$46$	$182$	$824$					✓	$[1, 2, 3, 4, 6, 8, 6, 15, 16, 16]$
1.4.E.6.2a	$1$	$4$	$3$	$\mathrm{SU}(2)_{2}$	$E_6$	$6$	$1/6$	$2$	$12$	$100$	$980$	$10584$	$10584$	$1$	$4$	$11$	$44$	$172$	$754$					✓	$[1, 2, 3, 4, 6, 6, 6, 13, 12, 12]$
1.4.F.8.3a	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$D_{4,1}$	$8$	$7/8$	$1$	$12$	$160$	$2240$	$32256$	$32256$	$1$	$4$	$13$	$63$	$311$	$1678$					✓	$[1, 1, 3, 6, 10, 11, 13, 40, 46, 31]$
1.4.F.8.5a	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$J(D_2)$	$8$	$7/8$	$1$	$12$	$160$	$2240$	$32256$	$32256$	$1$	$5$	$13$	$67$	$311$	$1694$					✓	$[1, 1, 4, 7, 10, 16, 13, 43, 46, 44]$
1.4.F.12.3a	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$T$	$12$	$1/4$	$2$	$12$	$120$	$1540$	$21672$	$21672$	$1$	$4$	$12$	$52$	$236$	$1202$					✓	$[1, 2, 3, 4, 8, 8, 10, 27, 32, 22]$
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.B.1.1a	$1$	$6$	$9$	$\mathrm{U}(3)$	$\mathrm{U}(3)$	$1$	$0$	$2$	$12$	$120$	$1610$	$25956$	$25956$	$1$	$4$	$18$	$107$	$743$	$5793$	$6$	$232$	$21260$		✓	$[1, 2, 3, 4, 4, 8, 9, 9, 12, 10, 6, 17, 22, 26, 40, 24, 19, 40, 30, 20]$
1.6.D.2.1a	$1$	$6$	$11$	$\mathrm{U}(1)\times\mathrm{USp}(4)$	$N(\mathrm{U}(1)\times \mathrm{USp}(4))$	$2$	$0$	$2$	$12$	$114$	$1421$	$21195$	$21195$	$2$	$6$	$23$	$112$	$668$	$4656$	$6$	$198$	$15216$	✓	✓	$[1, 2, 3, 2, 4, 7, 6, 7, 7, 4, 6, 15, 13, 18, 25, 13, 13, 18, 15, 6]$
1.6.N.48.48a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(D(2,2))$	$48$	$2/3$	$1$	$12$	$310$	$9590$	$310086$	$310086$	$1$	$5$	$33$	$352$	$4486$	$60779$	$5$	$997$	$322160$		✓	$[1, 1, 4, 4, 7, 27, 37, 60, 91, 57, 21, 192, 258, 600, 1233, 669, 684, 1677, 1489, 492]$
1.6.N.72.41a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$E(72)$	$72$	$1/9$	$2$	$12$	$220$	$6440$	$206892$	$206892$	$1$	$4$	$23$	$236$	$2991$	$40512$	$6$	$694$	$215160$		✓	$[1, 2, 3, 4, 4, 18, 25, 36, 62, 37, 14, 128, 172, 404, 822, 450, 446, 1118, 990, 332]$
1.6.N.168.42a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$E(168)$	$168$	$1/3$	$2$	$12$	$140$	$3080$	$90972$	$90972$	$1$	$4$	$19$	$140$	$1451$	$18112$	$6$	$366$	$94080$		✓	$[1, 2, 3, 4, 4, 10, 15, 18, 30, 23, 10, 56, 84, 176, 356, 206, 198, 498, 436, 172]$
1.6.N.216.153a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$E(216)$	$216$	$7/27$	$2$	$12$	$140$	$2800$	$75852$	$75852$	$1$	$4$	$19$	$136$	$1311$	$15312$	$6$	$334$	$76240$		✓	$[1, 2, 3, 4, 4, 10, 13, 16, 26, 17, 10, 48, 64, 140, 282, 158, 158, 382, 338, 120]$