Sato-Tate group search results

Results (7 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.12.3a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$C(2,2)$	$12$	$2/3$	$2$	$42$	$1220$	$38290$	$1240092$	$1240092$	$1$	$9$	$103$	$1321$	$17691$	$242367$	$16$	$3944$	$1288060$		✓	$[1, 2, 8, 10, 15, 108, 128, 194, 354, 166, 76, 753, 976, 2386, 4932, 2594, 2641, 6588, 5840, 1790]$
1.6.N.12.4a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(3,1))$	$12$	$2/3$	$2$	$42$	$1220$	$38290$	$1240092$	$1240092$	$2$	$12$	$112$	$1348$	$17772$	$242610$	$15$	$3941$	$1288050$		✓	$[1, 2, 9, 9, 18, 107, 129, 206, 354, 170, 75, 756, 976, 2385, 4929, 2594, 2665, 6587, 5852, 1785]$
1.6.N.24.3a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(T,1;1)$	$24$	$0$	$4$	$42$	$800$	$21070$	$640584$	$640584$	$2$	$11$	$82$	$823$	$9762$	$126537$	$16$	$2260$	$657460$		✓	$[1, 4, 8, 8, 13, 64, 72, 104, 188, 84, 48, 391, 492, 1204, 2484, 1304, 1335, 3292, 2930, 880]$
1.6.N.48.29c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(O,1)$	$48$	$1/6$	$4$	$42$	$660$	$14000$	$368424$	$368424$	$2$	$11$	$75$	$638$	$6452$	$74457$	$16$	$1630$	$367040$		✓	$[1, 4, 8, 8, 13, 50, 54, 67, 110, 63, 32, 220, 290, 626, 1274, 702, 675, 1712, 1507, 528]$
1.6.N.48.33b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(T,2)$	$48$	$1/6$	$4$	$42$	$680$	$14770$	$388584$	$388584$	$2$	$11$	$76$	$661$	$6782$	$78357$	$16$	$1688$	$382900$		✓	$[1, 4, 8, 8, 13, 52, 56, 70, 116, 58, 36, 237, 300, 656, 1316, 700, 691, 1712, 1512, 492]$
1.6.N.72.25a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(T,3)$	$72$	$1/9$	$4$	$42$	$680$	$14490$	$368424$	$368424$	$2$	$11$	$76$	$657$	$6622$	$74457$	$16$	$1656$	$353620$		✓	$[1, 4, 8, 8, 13, 52, 54, 68, 112, 52, 36, 229, 276, 600, 1178, 596, 595, 1424, 1214, 372]$
1.6.N.96.67a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(O,2)$	$96$	$1/12$	$4$	$42$	$660$	$12880$	$292824$	$292824$	$2$	$11$	$75$	$622$	$5832$	$60247$	$16$	$1518$	$268960$		✓	$[1, 4, 8, 8, 13, 50, 50, 59, 90, 43, 32, 184, 210, 426, 794, 406, 397, 952, 821, 268]$