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.L.4.2a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_2,C_2)$	$4$	$1/2$	$3$	$51$	$1230$	$33635$	$978138$	$978138$	$2$	$13$	$116$	$1279$	$15362$	$192967$	$18$	$3570$	$966600$		✓	$[1, 3, 10, 9, 18, 104, 115, 166, 283, 122, 68, 611, 742, 1727, 3424, 1697, 1726, 4146, 3517, 1003]$
1.6.L.4.2b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(C_2),J(C_1))$	$4$	$1/2$	$3$	$51$	$1230$	$33635$	$978138$	$978138$	$2$	$14$	$119$	$1290$	$15397$	$193079$	$19$	$3585$	$966820$		✓	$[1, 3, 11, 12, 21, 104, 121, 181, 293, 151, 71, 614, 776, 1731, 3424, 1742, 1763, 4250, 3588, 1139]$
1.6.L.4.2c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(C_2),C_2)$	$4$	$1/2$	$3$	$51$	$1230$	$33635$	$978138$	$978138$	$2$	$14$	$119$	$1290$	$15397$	$193079$	$18$	$3570$	$966600$		✓	$[1, 3, 11, 9, 19, 104, 116, 172, 283, 127, 68, 614, 742, 1727, 3424, 1697, 1742, 4146, 3530, 1003]$
1.6.L.4.2d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(C_2),C_{2,1})$	$4$	$1/2$	$3$	$51$	$1230$	$33635$	$978138$	$978138$	$2$	$14$	$119$	$1290$	$15397$	$193079$	$19$	$3585$	$966820$		✓	$[1, 3, 11, 8, 17, 104, 113, 165, 281, 119, 67, 614, 732, 1727, 3424, 1686, 1727, 4126, 3516, 979]$
1.6.L.4.2e	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_2)$	$4$	$0$	$4$	$54$	$1240$	$33670$	$978264$	$978264$	$2$	$13$	$116$	$1279$	$15362$	$192967$	$20$	$3588$	$966800$		✓	$[1, 4, 10, 12, 19, 104, 120, 168, 288, 134, 72, 611, 764, 1732, 3424, 1724, 1729, 4188, 3536, 1056]$
1.6.L.4.2f	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(J(C_2))$	$4$	$0$	$4$	$54$	$1240$	$33670$	$978264$	$978264$	$2$	$14$	$119$	$1290$	$15397$	$193079$	$22$	$3618$	$967240$		✓	$[1, 4, 11, 14, 20, 104, 123, 176, 296, 155, 74, 614, 788, 1736, 3424, 1758, 1751, 4272, 3593, 1168]$
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.4.2h	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{2,1},C_2)$	$4$	$1/2$	$3$	$51$	$1230$	$33635$	$978138$	$978138$	$3$	$16$	$126$	$1310$	$15458$	$193261$	$18$	$3570$	$966600$		✓	$[1, 3, 11, 9, 21, 104, 116, 180, 283, 127, 68, 614, 742, 1727, 3424, 1697, 1760, 4146, 3530, 1003]$
1.6.L.4.2i	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{2,1},C_{2,1})$	$4$	$1/2$	$3$	$51$	$1230$	$33635$	$978138$	$978138$	$3$	$16$	$126$	$1310$	$15458$	$193261$	$19$	$3585$	$966820$		✓	$[1, 3, 11, 8, 19, 104, 113, 173, 281, 119, 67, 614, 732, 1727, 3424, 1686, 1745, 4126, 3516, 979]$
1.6.L.4.2j	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_{2,1})$	$4$	$0$	$4$	$54$	$1240$	$33670$	$978264$	$978264$	$3$	$16$	$126$	$1310$	$15458$	$193261$	$22$	$3618$	$967240$		✓	$[1, 4, 11, 10, 18, 104, 115, 168, 284, 123, 70, 614, 744, 1732, 3424, 1702, 1733, 4148, 3521, 1008]$
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	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(C_{2,1})$	$4$	$1/4$	$5$	$75$	$1550$	$38115$	$1042650$	$1042650$	$4$	$22$	$163$	$1538$	$16889$	$202387$	$27$	$3969$	$987300$		✓	$[1, 5, 15, 10, 25, 124, 121, 181, 283, 119, 83, 662, 748, 1749, 3424, 1708, 1751, 4142, 3576, 1001]$