Sato-Tate group search results

Results (5 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.M.1.1a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(C_1)$	$1$	$0$	$9$	$162$	$3645$	$91854$	$2480058$	$2480058$	$6$	$45$	$405$	$4131$	$45684$	$532899$	$65$	$11076$	$2561186$		✓	$[1, 9, 34, 26, 45, 320, 334, 486, 810, 300, 164, 1539, 1836, 4325, 8448, 4023, 4191, 9680, 7920, 2101]$
1.6.M.2.1a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(C_2)$	$2$	$0$	$5$	$82$	$1825$	$45934$	$1240050$	$1240050$	$4$	$25$	$209$	$2083$	$22890$	$266583$	$33$	$5540$	$1280610$		✓	$[1, 5, 18, 14, 25, 160, 170, 250, 406, 156, 84, 771, 924, 2165, 4224, 2019, 2107, 4848, 3968, 1061]$
1.6.M.4.1a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(C_4)$	$4$	$0$	$3$	$42$	$915$	$22974$	$620046$	$620046$	$2$	$13$	$105$	$1043$	$11448$	$133299$	$17$	$2772$	$640322$		✓	$[1, 3, 10, 8, 13, 80, 86, 126, 204, 80, 42, 387, 462, 1083, 2112, 1011, 1055, 2424, 1988, 533]$
1.6.M.4.2a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(D_2)$	$4$	$0$	$3$	$42$	$915$	$22974$	$620046$	$620046$	$3$	$15$	$111$	$1059$	$11493$	$133425$	$17$	$2772$	$640322$		✓	$[1, 3, 10, 8, 15, 80, 88, 132, 204, 84, 44, 387, 468, 1085, 2112, 1017, 1065, 2432, 1992, 541]$
1.6.M.8.3a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(D_4)$	$8$	$0$	$2$	$22$	$460$	$11494$	$310044$	$310044$	$2$	$9$	$59$	$539$	$5772$	$66783$	$9$	$1388$	$320178$		✓	$[1, 2, 6, 5, 9, 40, 46, 70, 103, 46, 23, 195, 237, 544, 1056, 513, 539, 1220, 1002, 277]$