Sato-Tate group search results

Results (11 matches)

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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.2.1c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(C_2,C_1)$	$2$	$1/2$	$5$	$99$	$2450$	$67235$	$1956150$	$1956150$	$3$	$23$	$225$	$2539$	$30673$	$385793$	$34$	$7122$	$1933000$		✓	$[1, 5, 18, 15, 32, 208, 223, 322, 561, 226, 132, 1219, 1462, 3449, 6848, 3367, 3436, 8250, 7005, 1953]$
1.6.L.2.1e	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(C_{2,1},C_1)$	$2$	$1/2$	$5$	$99$	$2450$	$67235$	$1956150$	$1956150$	$4$	$26$	$235$	$2570$	$30769$	$386087$	$34$	$7122$	$1933000$		✓	$[1, 5, 19, 15, 35, 208, 224, 336, 561, 231, 132, 1222, 1462, 3449, 6848, 3367, 3470, 8250, 7018, 1953]$
1.6.L.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.4.2g	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(J(C_1))$	$4$	$1/4$	$5$	$75$	$1550$	$38115$	$1042650$	$1042650$	$2$	$18$	$149$	$1498$	$16767$	$202023$	$27$	$3969$	$987300$		✓	$[1, 5, 15, 14, 25, 124, 129, 181, 295, 151, 87, 662, 792, 1753, 3424, 1764, 1751, 4266, 3648, 1161]$
1.6.L.4.2k	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(C_2)$	$4$	$1/4$	$5$	$75$	$1550$	$38115$	$1042650$	$1042650$	$3$	$19$	$153$	$1507$	$16793$	$202093$	$26$	$3954$	$987080$		✓	$[1, 5, 14, 11, 24, 124, 123, 174, 285, 122, 84, 659, 758, 1749, 3424, 1719, 1732, 4162, 3577, 1025]$
1.6.L.4.2l	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(C_{2,1})$	$4$	$1/4$	$5$	$75$	$1550$	$38115$	$1042650$	$1042650$	$4$	$22$	$163$	$1538$	$16889$	$202387$	$27$	$3969$	$987300$		✓	$[1, 5, 15, 10, 25, 124, 121, 181, 283, 119, 83, 662, 748, 1749, 3424, 1708, 1751, 4142, 3576, 1001]$
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	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(C_6)$	$12$	$1/12$	$5$	$63$	$1130$	$24815$	$618030$	$618030$	$3$	$17$	$123$	$1089$	$11043$	$122491$	$24$	$2748$	$567380$		✓	$[1, 5, 12, 9, 18, 88, 83, 108, 173, 68, 54, 393, 434, 953, 1800, 853, 856, 1988, 1635, 445]$

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