Sato-Tate group search results

Results (12 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.H.1.1a	$1$	$6$	$3$	$\mathrm{U}(1)^3$	$H$	$1$	$0$	$6$	$90$	$1860$	$44730$	$1172556$	$1172556$	$3$	$21$	$183$	$1845$	$20223$	$234129$	$32$	$4920$	$1109120$		✓	$[1, 6, 16, 14, 27, 152, 154, 204, 342, 132, 92, 741, 852, 1886, 3600, 1686, 1695, 3956, 3210, 862]$
1.6.L.3.1a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(C_3)$	$3$	$0$	$6$	$90$	$1900$	$48090$	$1346436$	$1346436$	$3$	$21$	$185$	$1917$	$21933$	$267271$	$32$	$5208$	$1319720$		✓	$[1, 6, 16, 14, 27, 156, 162, 224, 390, 156, 100, 837, 996, 2322, 4600, 2266, 2301, 5520, 4688, 1314]$
1.6.L.4.1d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(C_4)$	$4$	$0$	$6$	$90$	$1860$	$44870$	$1190196$	$1190196$	$3$	$21$	$183$	$1847$	$20333$	$237711$	$32$	$4932$	$1138880$		✓	$[1, 6, 16, 14, 27, 152, 154, 206, 346, 138, 92, 747, 864, 1950, 3768, 1822, 1837, 4368, 3658, 1034]$
1.6.L.6.2g	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(C_6)$	$6$	$0$	$6$	$90$	$1860$	$44730$	$1172556$	$1172556$	$3$	$21$	$183$	$1845$	$20223$	$234131$	$32$	$4920$	$1109160$		✓	$[1, 6, 16, 14, 27, 152, 154, 204, 342, 132, 92, 741, 852, 1886, 3600, 1686, 1697, 3960, 3216, 870]$
1.6.N.7.1a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(1,7)$	$7$	$0$	$6$	$90$	$2220$	$66570$	$2132676$	$2132676$	$3$	$21$	$201$	$2373$	$30813$	$417675$	$32$	$6936$	$2213420$		✓	$[1, 6, 16, 14, 27, 188, 214, 324, 606, 252, 128, 1293, 1632, 4082, 8454, 4386, 4509, 11192, 9966, 2914]$
1.6.N.8.1b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(1,8)_1$	$8$	$0$	$6$	$90$	$2100$	$60270$	$1890756$	$1890756$	$3$	$21$	$195$	$2211$	$27873$	$371475$	$32$	$6356$	$1955060$		✓	$[1, 6, 16, 14, 27, 176, 196, 292, 538, 232, 116, 1143, 1444, 3578, 7408, 3866, 3949, 9828, 8742, 2594]$
1.6.N.9.2b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(3,3)$	$9$	$2/9$	$6$	$90$	$1980$	$54810$	$1694196$	$1694196$	$3$	$21$	$189$	$2061$	$25353$	$333675$	$32$	$5784$	$1743680$		✓	$[1, 6, 16, 14, 27, 164, 178, 264, 486, 204, 116, 1029, 1284, 3194, 6612, 3438, 3537, 8732, 7776, 2290]$
1.6.N.12.2b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(3,4)$	$12$	$1/6$	$6$	$90$	$1900$	$48930$	$1416996$	$1416996$	$3$	$21$	$185$	$1929$	$22453$	$281095$	$32$	$5288$	$1426100$		✓	$[1, 6, 16, 14, 27, 156, 164, 230, 406, 170, 100, 865, 1056, 2534, 5148, 2654, 2705, 6676, 5916, 1754]$
1.6.N.12.5b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(6,2)$	$12$	$1/6$	$6$	$90$	$1860$	$47250$	$1369116$	$1369116$	$3$	$21$	$183$	$1881$	$21723$	$271935$	$32$	$5160$	$1388060$		✓	$[1, 6, 16, 14, 27, 152, 160, 222, 390, 174, 92, 825, 1032, 2450, 5028, 2634, 2649, 6620, 5880, 1798]$
1.6.N.16.2a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(4,4)$	$16$	$0$	$6$	$90$	$1860$	$45150$	$1225476$	$1225476$	$3$	$21$	$183$	$1851$	$20553$	$244875$	$32$	$4956$	$1198400$		✓	$[1, 6, 16, 14, 27, 152, 154, 210, 354, 150, 92, 759, 888, 2078, 4104, 2094, 2121, 5192, 4554, 1378]$
1.6.N.18.5a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(3,6)$	$18$	$1/9$	$6$	$90$	$1900$	$48090$	$1346436$	$1346436$	$3$	$21$	$185$	$1917$	$21933$	$267315$	$32$	$5208$	$1320720$		✓	$[1, 6, 16, 14, 27, 156, 162, 224, 390, 156, 100, 837, 996, 2322, 4604, 2270, 2313, 5556, 4744, 1354]$
1.6.N.36.14a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(6,6)$	$36$	$1/18$	$6$	$90$	$1860$	$44730$	$1172556$	$1172556$	$3$	$21$	$183$	$1845$	$20223$	$234135$	$32$	$4920$	$1109240$		✓	$[1, 6, 16, 14, 27, 152, 154, 204, 342, 132, 92, 741, 852, 1886, 3600, 1686, 1701, 3968, 3228, 886]$