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.4.1b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(C_{4,1})$	$4$	$0$	$4$	$54$	$1240$	$33670$	$978264$	$978264$	$2$	$12$	$113$	$1270$	$15337$	$192897$	$18$	$3570$	$966600$		✓	$[1, 4, 9, 10, 18, 104, 117, 162, 284, 119, 70, 610, 744, 1728, 3424, 1698, 1721, 4148, 3515, 1004]$
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.4.2j	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_{2,1})$	$4$	$0$	$4$	$54$	$1240$	$33670$	$978264$	$978264$	$3$	$16$	$126$	$1310$	$15458$	$193261$	$22$	$3618$	$967240$		✓	$[1, 4, 11, 10, 18, 104, 115, 168, 284, 123, 70, 614, 744, 1732, 3424, 1702, 1733, 4148, 3521, 1008]$
1.6.M.3.1a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(C_3)$	$3$	$2/3$	$3$	$54$	$1215$	$30618$	$826686$	$826686$	$2$	$15$	$135$	$1377$	$15228$	$177633$	$23$	$3696$	$853742$		✓	$[1, 3, 12, 10, 15, 108, 112, 162, 270, 102, 56, 513, 612, 1443, 2820, 1341, 1401, 3228, 2640, 707]$
1.6.N.9.2a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$C(3,1)$	$9$	$8/9$	$2$	$54$	$1620$	$51030$	$1653372$	$1653372$	$1$	$11$	$135$	$1755$	$23571$	$323109$	$20$	$5244$	$1717220$		✓	$[1, 2, 10, 10, 17, 144, 162, 250, 466, 196, 96, 1003, 1264, 3174, 6576, 3406, 3507, 8704, 7744, 2270]$
1.6.N.16.6c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(2,4;4)$	$16$	$0$	$4$	$54$	$1240$	$34230$	$1028664$	$1028664$	$2$	$13$	$116$	$1287$	$15722$	$202879$	$20$	$3636$	$1043600$		✓	$[1, 4, 10, 12, 19, 104, 120, 172, 300, 142, 72, 631, 800, 1888, 3832, 2008, 2033, 5048, 4452, 1368]$
1.6.N.16.13c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(2,4)$	$16$	$0$	$4$	$54$	$1240$	$34230$	$1028664$	$1028664$	$2$	$13$	$116$	$1287$	$15722$	$202879$	$20$	$3644$	$1043780$		✓	$[1, 4, 10, 12, 19, 104, 122, 174, 300, 152, 72, 631, 812, 1892, 3832, 2036, 2037, 5084, 4472, 1440]$
1.6.N.24.3b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(T,1)$	$24$	$1/3$	$4$	$54$	$1040$	$25130$	$706104$	$706104$	$2$	$13$	$106$	$1037$	$11542$	$140919$	$20$	$2792$	$710800$		✓	$[1, 4, 10, 8, 15, 84, 84, 114, 200, 84, 48, 425, 516, 1236, 2532, 1312, 1325, 3296, 2938, 876]$
1.6.N.24.10c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(1,12)$	$24$	$0$	$4$	$54$	$1240$	$33670$	$978264$	$978264$	$2$	$13$	$116$	$1279$	$15362$	$192999$	$20$	$3588$	$967500$		✓	$[1, 4, 10, 12, 19, 104, 120, 168, 288, 134, 72, 611, 764, 1732, 3426, 1728, 1737, 4216, 3578, 1088]$
1.6.N.24.11b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(1,12;2)$	$24$	$0$	$4$	$54$	$1240$	$33670$	$978264$	$978264$	$2$	$13$	$116$	$1279$	$15362$	$192999$	$20$	$3588$	$967500$		✓	$[1, 4, 10, 12, 19, 104, 120, 168, 288, 134, 72, 611, 764, 1732, 3426, 1724, 1737, 4212, 3578, 1072]$

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