Sato-Tate group search results

Results (6 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.3.1a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(C_3)$	$3$	$2/3$	$3$	$54$	$1215$	$30618$	$826686$	$826686$	$2$	$15$	$135$	$1377$	$15228$	$177633$	$23$	$3696$	$853742$		✓	$[1, 3, 12, 10, 15, 108, 112, 162, 270, 102, 56, 513, 612, 1443, 2820, 1341, 1401, 3228, 2640, 707]$
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.6.1a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(D_3)$	$6$	$1/3$	$2$	$28$	$610$	$15316$	$413364$	$413364$	$2$	$10$	$74$	$706$	$7662$	$88950$	$12$	$1850$	$426888$		✓	$[1, 2, 7, 6, 10, 54, 59, 88, 136, 57, 30, 258, 312, 724, 1410, 678, 712, 1622, 1328, 364]$
1.6.M.6.2a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(C_6)$	$6$	$1/3$	$3$	$38$	$715$	$16506$	$427686$	$427686$	$2$	$11$	$83$	$769$	$8078$	$91677$	$15$	$1984$	$434622$		✓	$[1, 3, 8, 6, 11, 60, 60, 86, 138, 54, 32, 265, 312, 727, 1416, 677, 705, 1620, 1328, 359]$
1.6.M.8.3a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(D_4)$	$8$	$0$	$2$	$22$	$460$	$11494$	$310044$	$310044$	$2$	$9$	$59$	$539$	$5772$	$66783$	$9$	$1388$	$320178$		✓	$[1, 2, 6, 5, 9, 40, 46, 70, 103, 46, 23, 195, 237, 544, 1056, 513, 539, 1220, 1002, 277]$
1.6.M.12.4a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(D_6)$	$12$	$1/6$	$2$	$20$	$360$	$8260$	$213864$	$213864$	$2$	$8$	$48$	$402$	$4087$	$45972$	$8$	$994$	$217328$	✓	✓	$[1, 2, 5, 4, 8, 30, 33, 50, 70, 33, 18, 134, 162, 366, 708, 346, 364, 818, 672, 190]$