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.L.2.1a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(C_1),C_1)$	$2$	$1/2$	$5$	$99$	$2450$	$67235$	$1956150$	$1956150$	$2$	$22$	$221$	$2530$	$30647$	$385723$	$34$	$7122$	$1933000$		✓	$[1, 5, 19, 15, 31, 208, 224, 320, 561, 231, 132, 1222, 1462, 3449, 6848, 3367, 3434, 8250, 7018, 1953]$
1.6.L.2.1b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(J(C_1))$	$2$	$0$	$6$	$102$	$2460$	$67270$	$1956276$	$1956276$	$2$	$22$	$221$	$2530$	$30647$	$385723$	$38$	$7170$	$1933640$		✓	$[1, 6, 19, 24, 36, 208, 239, 340, 586, 291, 142, 1222, 1552, 3462, 6848, 3484, 3479, 8500, 7153, 2278]$
1.6.L.2.1c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(C_2,C_1)$	$2$	$1/2$	$5$	$99$	$2450$	$67235$	$1956150$	$1956150$	$3$	$23$	$225$	$2539$	$30673$	$385793$	$34$	$7122$	$1933000$		✓	$[1, 5, 18, 15, 32, 208, 223, 322, 561, 226, 132, 1219, 1462, 3449, 6848, 3367, 3436, 8250, 7005, 1953]$
1.6.L.2.1d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(C_2)$	$2$	$0$	$6$	$102$	$2460$	$67270$	$1956276$	$1956276$	$3$	$23$	$225$	$2539$	$30673$	$385793$	$36$	$7140$	$1933200$		✓	$[1, 6, 18, 18, 33, 208, 228, 324, 566, 238, 136, 1219, 1484, 3454, 6848, 3394, 3439, 8292, 7024, 2006]$
1.6.L.2.1e	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(C_{2,1},C_1)$	$2$	$1/2$	$5$	$99$	$2450$	$67235$	$1956150$	$1956150$	$4$	$26$	$235$	$2570$	$30769$	$386087$	$34$	$7122$	$1933000$		✓	$[1, 5, 19, 15, 35, 208, 224, 336, 561, 231, 132, 1222, 1462, 3449, 6848, 3367, 3470, 8250, 7018, 1953]$
1.6.L.2.1f	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(C_{2,1})$	$2$	$0$	$6$	$102$	$2460$	$67270$	$1956276$	$1956276$	$4$	$26$	$235$	$2570$	$30769$	$386087$	$38$	$7170$	$1933640$		✓	$[1, 6, 19, 16, 32, 208, 223, 324, 562, 227, 134, 1222, 1464, 3454, 6848, 3372, 3443, 8252, 7009, 1958]$
1.6.L.2.1g	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(C_1)$	$2$	$0$	$9$	$147$	$3090$	$76195$	$2085174$	$2085174$	$5$	$35$	$299$	$2995$	$33535$	$404045$	$50$	$7890$	$1973960$		✓	$[1, 9, 26, 19, 44, 248, 239, 338, 565, 226, 164, 1315, 1494, 3493, 6848, 3411, 3448, 8282, 7125, 1997]$