Sato-Tate group search results

Results (11 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.2.1c	$1$	$6$	$3$	$\mathrm{U}(1)^3$	$H_{a}$	$2$	$0$	$5$	$63$	$1130$	$24815$	$618030$	$618030$	$3$	$17$	$123$	$1089$	$11043$	$122489$	$24$	$2748$	$567360$		✓	$[1, 5, 12, 9, 18, 88, 83, 108, 173, 68, 54, 393, 434, 953, 1800, 853, 854, 1986, 1631, 441]$
1.6.L.4.1c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(C_4,C_2)$	$4$	$0$	$5$	$63$	$1310$	$34195$	$982170$	$982170$	$3$	$17$	$135$	$1367$	$15773$	$194891$	$26$	$3762$	$971720$		✓	$[1, 5, 12, 11, 18, 108, 117, 164, 285, 122, 68, 611, 742, 1733, 3424, 1703, 1722, 4146, 3519, 1009]$
1.6.L.6.2e	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(C_6,C_3)$	$6$	$1/6$	$5$	$63$	$1130$	$25935$	$693630$	$693630$	$3$	$17$	$123$	$1113$	$11783$	$138071$	$24$	$2892$	$671380$		✓	$[1, 5, 12, 9, 18, 88, 87, 116, 197, 80, 54, 429, 502, 1165, 2300, 1137, 1156, 2764, 2355, 661]$
1.6.L.6.2f	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(C_3)$	$6$	$0$	$5$	$63$	$1170$	$27055$	$716310$	$716310$	$3$	$17$	$125$	$1137$	$12013$	$140051$	$24$	$2892$	$673940$		✓	$[1, 5, 12, 9, 18, 92, 87, 120, 197, 80, 62, 453, 510, 1177, 2300, 1149, 1160, 2772, 2387, 673]$
1.6.L.8.2f	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(C_4)$	$8$	$1/8$	$5$	$63$	$1130$	$24955$	$629370$	$629370$	$3$	$17$	$123$	$1091$	$11113$	$124451$	$24$	$2754$	$582240$		✓	$[1, 5, 12, 9, 18, 88, 83, 110, 175, 72, 54, 399, 440, 989, 1884, 925, 926, 2192, 1865, 531]$
1.6.L.12.5g	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(C_6)$	$12$	$1/12$	$5$	$63$	$1130$	$24815$	$618030$	$618030$	$3$	$17$	$123$	$1089$	$11043$	$122491$	$24$	$2748$	$567380$		✓	$[1, 5, 12, 9, 18, 88, 83, 108, 173, 68, 54, 393, 434, 953, 1800, 853, 856, 1988, 1635, 445]$
1.6.N.8.1a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_n(A(1,4)_2)$	$8$	$1/2$	$3$	$63$	$1830$	$57435$	$1860138$	$1860138$	$2$	$14$	$155$	$1982$	$26537$	$363551$	$22$	$5910$	$1932070$		✓	$[1, 3, 11, 11, 21, 160, 185, 285, 527, 228, 108, 1130, 1436, 3573, 7392, 3853, 3946, 9820, 8730, 2589]$
1.6.N.8.2a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(A(1,4)_2)$	$8$	$1/2$	$3$	$63$	$1830$	$57435$	$1860138$	$1860138$	$2$	$16$	$161$	$2002$	$26597$	$363733$	$22$	$5910$	$1932070$		✓	$[1, 3, 13, 11, 23, 160, 187, 295, 527, 236, 108, 1134, 1436, 3573, 7392, 3853, 3968, 9820, 8748, 2589]$
1.6.N.8.3a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(A(2,2))$	$8$	$1/2$	$3$	$63$	$1830$	$57435$	$1860138$	$1860138$	$2$	$16$	$161$	$2002$	$26597$	$363733$	$22$	$5910$	$1932070$		✓	$[1, 3, 13, 13, 25, 160, 193, 301, 531, 254, 112, 1134, 1464, 3577, 7392, 3891, 3978, 9880, 8778, 2675]$
1.6.N.8.3c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(1,4)_2)$	$8$	$1/2$	$3$	$63$	$1830$	$57435$	$1860138$	$1860138$	$3$	$18$	$168$	$2022$	$26658$	$363915$	$22$	$5910$	$1932070$		✓	$[1, 3, 13, 11, 25, 160, 187, 303, 527, 236, 108, 1134, 1436, 3573, 7392, 3853, 3986, 9820, 8748, 2589]$
1.6.N.8.5a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(2,2))$	$8$	$1/2$	$3$	$63$	$1830$	$57435$	$1860138$	$1860138$	$3$	$18$	$168$	$2022$	$26658$	$363915$	$22$	$5910$	$1932070$		✓	$[1, 3, 13, 13, 27, 160, 193, 309, 531, 254, 112, 1134, 1464, 3577, 7392, 3891, 3996, 9880, 8778, 2675]$