Sato-Tate group search results

Results (26 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.2.1c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(C_2,C_1)$	$2$	$1/2$	$5$	$99$	$2450$	$67235$	$1956150$	$1956150$	$3$	$23$	$225$	$2539$	$30673$	$385793$	$34$	$7122$	$1933000$		✓	$[1, 5, 18, 15, 32, 208, 223, 322, 561, 226, 132, 1219, 1462, 3449, 6848, 3367, 3436, 8250, 7005, 1953]$
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.3.1a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(C_3)$	$3$	$0$	$6$	$90$	$1900$	$48090$	$1346436$	$1346436$	$3$	$21$	$185$	$1917$	$21933$	$267271$	$32$	$5208$	$1319720$		✓	$[1, 6, 16, 14, 27, 156, 162, 224, 390, 156, 100, 837, 996, 2322, 4600, 2266, 2301, 5520, 4688, 1314]$
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.4.1d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(C_4)$	$4$	$0$	$6$	$90$	$1860$	$44870$	$1190196$	$1190196$	$3$	$21$	$183$	$1847$	$20333$	$237711$	$32$	$4932$	$1138880$		✓	$[1, 6, 16, 14, 27, 152, 154, 206, 346, 138, 92, 747, 864, 1950, 3768, 1822, 1837, 4368, 3658, 1034]$
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.6.1c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{3,2},C_3)$	$6$	$1/2$	$3$	$45$	$950$	$24045$	$673218$	$673218$	$3$	$15$	$106$	$999$	$11088$	$134000$	$16$	$2604$	$659860$		✓	$[1, 3, 10, 7, 18, 78, 83, 130, 195, 86, 50, 423, 498, 1161, 2300, 1133, 1191, 2760, 2362, 657]$
1.6.L.6.1d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_{3,2})$	$6$	$0$	$4$	$48$	$960$	$24080$	$673344$	$673344$	$3$	$15$	$106$	$999$	$11088$	$134000$	$20$	$2652$	$660500$		✓	$[1, 4, 10, 8, 15, 78, 82, 118, 196, 82, 52, 423, 500, 1166, 2300, 1138, 1164, 2762, 2353, 662]$
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.6.2g	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(C_6)$	$6$	$0$	$6$	$90$	$1860$	$44730$	$1172556$	$1172556$	$3$	$21$	$183$	$1845$	$20223$	$234131$	$32$	$4920$	$1109160$		✓	$[1, 6, 16, 14, 27, 152, 154, 204, 342, 132, 92, 741, 852, 1886, 3600, 1686, 1697, 3960, 3216, 870]$
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.8.3h	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{4,2},D_{2,1})$	$8$	$1/4$	$3$	$33$	$660$	$17115$	$491148$	$491148$	$3$	$13$	$81$	$724$	$8008$	$97810$	$15$	$1905$	$486180$		✓	$[1, 3, 8, 6, 12, 54, 60, 94, 143, 67, 35, 310, 372, 869, 1712, 854, 888, 2074, 1773, 507]$
1.6.L.8.3i	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{4,2},C_4)$	$8$	$1/2$	$3$	$45$	$930$	$22435$	$595098$	$595098$	$3$	$15$	$105$	$964$	$10288$	$119220$	$16$	$2466$	$569440$		✓	$[1, 3, 10, 7, 18, 76, 79, 121, 173, 77, 46, 378, 432, 975, 1884, 911, 959, 2184, 1847, 517]$
1.6.L.8.3j	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_{4,2})$	$8$	$0$	$4$	$48$	$940$	$22470$	$595224$	$595224$	$3$	$15$	$105$	$964$	$10288$	$119220$	$20$	$2514$	$570080$		✓	$[1, 4, 10, 8, 15, 76, 78, 109, 174, 73, 48, 378, 434, 980, 1884, 916, 932, 2186, 1838, 522]$
1.6.L.8.5g	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_{2,1})$	$8$	$3/8$	$3$	$39$	$780$	$19075$	$521388$	$521388$	$3$	$14$	$90$	$794$	$8518$	$101411$	$15$	$2001$	$493860$		✓	$[1, 3, 9, 6, 15, 62, 63, 99, 143, 67, 43, 334, 380, 877, 1712, 862, 893, 2082, 1802, 515]$
1.6.L.12.4m	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{6,2},D_{3,2})$	$12$	$1/3$	$3$	$33$	$570$	$12985$	$346878$	$346878$	$3$	$13$	$75$	$597$	$6013$	$69400$	$14$	$1470$	$336010$		✓	$[1, 3, 8, 5, 12, 44, 45, 70, 99, 46, 28, 219, 252, 585, 1150, 571, 605, 1383, 1191, 333]$
1.6.L.12.4n	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_{3,2})$	$12$	$1/4$	$3$	$33$	$590$	$13545$	$358218$	$358218$	$3$	$13$	$76$	$609$	$6128$	$70390$	$14$	$1470$	$337290$		✓	$[1, 3, 8, 5, 12, 46, 45, 72, 99, 46, 32, 231, 256, 591, 1150, 577, 607, 1387, 1207, 339]$
1.6.L.12.4o	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{6,2},C_6)$	$12$	$1/2$	$3$	$45$	$930$	$22365$	$586278$	$586278$	$3$	$15$	$105$	$963$	$10233$	$117430$	$16$	$2460$	$554580$		✓	$[1, 3, 10, 7, 18, 76, 79, 120, 171, 74, 46, 375, 426, 943, 1800, 843, 889, 1980, 1626, 435]$
1.6.L.12.4p	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_{6,2})$	$12$	$0$	$4$	$48$	$940$	$22400$	$586404$	$586404$	$3$	$15$	$105$	$963$	$10233$	$117430$	$20$	$2508$	$555220$		✓	$[1, 4, 10, 8, 15, 76, 78, 108, 172, 70, 48, 375, 428, 948, 1800, 848, 862, 1982, 1617, 440]$
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.L.16.11i	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_{4,2})$	$16$	$5/16$	$3$	$33$	$570$	$12495$	$314748$	$314748$	$3$	$13$	$75$	$586$	$5678$	$62590$	$14$	$1401$	$291440$		✓	$[1, 3, 8, 5, 12, 44, 43, 67, 88, 42, 28, 204, 221, 497, 942, 465, 490, 1097, 946, 268]$
1.6.L.24.14j	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_{6,2})$	$24$	$7/24$	$3$	$33$	$570$	$12425$	$309078$	$309078$	$3$	$13$	$75$	$585$	$5643$	$61610$	$14$	$1398$	$284010$		✓	$[1, 3, 8, 5, 12, 44, 43, 66, 87, 40, 28, 201, 218, 479, 900, 429, 455, 995, 831, 225]$