Sato-Tate group search results

Results (34 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.N.3.1a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(3,1)$	$3$	$2/3$	$6$	$162$	$4860$	$153090$	$4960116$	$4960116$	$3$	$33$	$405$	$5265$	$70713$	$969327$	$56$	$15720$	$5151620$		✓	$[1, 6, 28, 26, 51, 428, 484, 750, 1398, 582, 284, 3009, 3792, 9518, 19716, 10218, 10509, 26108, 23232, 6790]$
1.6.N.4.1b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(1,4)_2$	$4$	$0$	$6$	$126$	$3660$	$114870$	$3720276$	$3720276$	$3$	$27$	$309$	$3963$	$53073$	$727101$	$44$	$11820$	$3864140$		✓	$[1, 6, 22, 22, 41, 320, 370, 570, 1054, 456, 216, 2259, 2872, 7146, 14784, 7706, 7891, 19640, 17460, 5178]$
1.6.N.4.2a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(2,2)$	$4$	$0$	$6$	$126$	$3660$	$114870$	$3720276$	$3720276$	$3$	$27$	$309$	$3963$	$53073$	$727101$	$44$	$11820$	$3864140$		✓	$[1, 6, 22, 26, 45, 320, 382, 582, 1062, 492, 224, 2259, 2928, 7154, 14784, 7782, 7911, 19760, 17520, 5350]$
1.6.N.6.1b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(3,1))$	$6$	$5/6$	$3$	$81$	$2430$	$76545$	$2480058$	$2480058$	$3$	$21$	$216$	$2673$	$35478$	$485028$	$28$	$7860$	$2575810$		✓	$[1, 3, 16, 13, 30, 214, 244, 393, 699, 299, 142, 1509, 1896, 4759, 9858, 5109, 5295, 13054, 11634, 3395]$
1.6.N.6.2b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(1,6)_2$	$6$	$0$	$6$	$102$	$2620$	$78470$	$2500596$	$2500596$	$3$	$23$	$233$	$2795$	$36273$	$490017$	$36$	$8148$	$2589240$		✓	$[1, 6, 18, 18, 33, 224, 256, 388, 714, 310, 156, 1519, 1928, 4774, 9876, 5154, 5279, 13112, 11656, 3466]$
1.6.N.6.2c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(3,2)$	$6$	$1/3$	$6$	$114$	$2860$	$82530$	$2566116$	$2566116$	$3$	$25$	$257$	$3009$	$38053$	$504399$	$40$	$8680$	$2642580$		✓	$[1, 6, 20, 18, 35, 244, 268, 398, 726, 310, 156, 1553, 1952, 4806, 9924, 5162, 5269, 13116, 11664, 3462]$
1.6.N.7.1a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(1,7)$	$7$	$0$	$6$	$90$	$2220$	$66570$	$2132676$	$2132676$	$3$	$21$	$201$	$2373$	$30813$	$417675$	$32$	$6936$	$2213420$		✓	$[1, 6, 16, 14, 27, 188, 214, 324, 606, 252, 128, 1293, 1632, 4082, 8454, 4386, 4509, 11192, 9966, 2914]$
1.6.N.8.1b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(1,8)_1$	$8$	$0$	$6$	$90$	$2100$	$60270$	$1890756$	$1890756$	$3$	$21$	$195$	$2211$	$27873$	$371475$	$32$	$6356$	$1955060$		✓	$[1, 6, 16, 14, 27, 176, 196, 292, 538, 232, 116, 1143, 1444, 3578, 7408, 3866, 3949, 9828, 8742, 2594]$
1.6.N.8.1c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(1,8)_2$	$8$	$0$	$6$	$102$	$2460$	$68390$	$2057076$	$2057076$	$3$	$23$	$225$	$2555$	$31393$	$405617$	$36$	$7236$	$2086800$		✓	$[1, 6, 18, 18, 33, 208, 228, 332, 590, 254, 136, 1259, 1556, 3766, 7664, 3962, 4047, 10012, 8856, 2630]$
1.6.N.8.2b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(2,4)$	$8$	$0$	$6$	$102$	$2460$	$68390$	$2057076$	$2057076$	$3$	$23$	$225$	$2555$	$31393$	$405617$	$36$	$7244$	$2086980$		✓	$[1, 6, 18, 18, 33, 208, 230, 334, 590, 264, 136, 1259, 1568, 3770, 7664, 3990, 4051, 10048, 8876, 2702]$
1.6.N.8.3c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(1,4)_2)$	$8$	$1/2$	$3$	$63$	$1830$	$57435$	$1860138$	$1860138$	$3$	$18$	$168$	$2022$	$26658$	$363915$	$22$	$5910$	$1932070$		✓	$[1, 3, 13, 11, 25, 160, 187, 303, 527, 236, 108, 1134, 1436, 3573, 7392, 3853, 3986, 9820, 8748, 2589]$
1.6.N.8.5a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(2,2))$	$8$	$1/2$	$3$	$63$	$1830$	$57435$	$1860138$	$1860138$	$3$	$18$	$168$	$2022$	$26658$	$363915$	$22$	$5910$	$1932070$		✓	$[1, 3, 13, 13, 27, 160, 193, 309, 531, 254, 112, 1134, 1464, 3577, 7392, 3891, 3996, 9880, 8778, 2675]$
1.6.N.9.2b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(3,3)$	$9$	$2/9$	$6$	$90$	$1980$	$54810$	$1694196$	$1694196$	$3$	$21$	$189$	$2061$	$25353$	$333675$	$32$	$5784$	$1743680$		✓	$[1, 6, 16, 14, 27, 164, 178, 264, 486, 204, 116, 1029, 1284, 3194, 6612, 3438, 3537, 8732, 7776, 2290]$
1.6.N.12.2b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(3,4)$	$12$	$1/6$	$6$	$90$	$1900$	$48930$	$1416996$	$1416996$	$3$	$21$	$185$	$1929$	$22453$	$281095$	$32$	$5288$	$1426100$		✓	$[1, 6, 16, 14, 27, 156, 164, 230, 406, 170, 100, 865, 1056, 2534, 5148, 2654, 2705, 6676, 5916, 1754]$
1.6.N.12.2c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(1,12)$	$12$	$0$	$6$	$102$	$2460$	$67270$	$1956276$	$1956276$	$3$	$23$	$225$	$2539$	$30673$	$385857$	$36$	$7140$	$1934600$		✓	$[1, 6, 18, 18, 33, 208, 228, 324, 566, 238, 136, 1219, 1484, 3454, 6852, 3398, 3455, 8344, 7108, 2054]$
1.6.N.12.4c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(1,6)_2)$	$12$	$1/2$	$3$	$51$	$1310$	$39235$	$1250298$	$1250298$	$3$	$16$	$130$	$1438$	$18258$	$245373$	$18$	$4074$	$1294620$		✓	$[1, 3, 11, 9, 21, 112, 130, 212, 357, 163, 78, 764, 964, 2387, 4938, 2577, 2680, 6556, 5846, 1733]$
1.6.N.12.4d	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(3,2))$	$12$	$2/3$	$3$	$57$	$1430$	$41265$	$1283058$	$1283058$	$3$	$17$	$142$	$1545$	$19148$	$252564$	$20$	$4340$	$1321290$		✓	$[1, 3, 12, 9, 22, 122, 136, 217, 363, 163, 78, 781, 976, 2403, 4962, 2581, 2675, 6558, 5850, 1731]$
1.6.N.12.5b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(6,2)$	$12$	$1/6$	$6$	$90$	$1860$	$47250$	$1369116$	$1369116$	$3$	$21$	$183$	$1881$	$21723$	$271935$	$32$	$5160$	$1388060$		✓	$[1, 6, 16, 14, 27, 152, 160, 222, 390, 174, 92, 825, 1032, 2450, 5028, 2634, 2649, 6620, 5880, 1798]$
1.6.N.12.5c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(2,6)$	$12$	$0$	$6$	$102$	$2460$	$67270$	$1956276$	$1956276$	$3$	$23$	$225$	$2539$	$30673$	$385857$	$36$	$7140$	$1934600$		✓	$[1, 6, 18, 18, 33, 208, 228, 324, 566, 238, 136, 1219, 1484, 3454, 6852, 3402, 3455, 8348, 7108, 2070]$
1.6.N.14.1a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(1,7))$	$14$	$1/2$	$3$	$45$	$1110$	$33285$	$1066338$	$1066338$	$3$	$15$	$114$	$1227$	$15528$	$209202$	$16$	$3468$	$1106710$		✓	$[1, 3, 10, 7, 18, 94, 109, 180, 303, 134, 64, 651, 816, 2041, 4227, 2193, 2295, 5596, 5001, 1457]$
1.6.N.16.2a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(4,4)$	$16$	$0$	$6$	$90$	$1860$	$45150$	$1225476$	$1225476$	$3$	$21$	$183$	$1851$	$20553$	$244875$	$32$	$4956$	$1198400$		✓	$[1, 6, 16, 14, 27, 152, 154, 210, 354, 150, 92, 759, 888, 2078, 4104, 2094, 2121, 5192, 4554, 1378]$
1.6.N.16.7b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(1,8)_1)$	$16$	$1/2$	$3$	$45$	$1050$	$30135$	$945378$	$945378$	$3$	$15$	$111$	$1146$	$14058$	$186102$	$16$	$3178$	$977530$		✓	$[1, 3, 10, 7, 18, 88, 100, 164, 269, 124, 58, 576, 722, 1789, 3704, 1933, 2015, 4914, 4389, 1297]$
1.6.N.16.7c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(1,8)_2)$	$16$	$1/2$	$3$	$51$	$1230$	$34195$	$1028538$	$1028538$	$3$	$16$	$126$	$1318$	$15818$	$203173$	$18$	$3618$	$1043400$		✓	$[1, 3, 11, 9, 21, 104, 116, 184, 295, 135, 68, 634, 778, 1883, 3832, 1981, 2064, 5006, 4446, 1315]$
1.6.N.16.11b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(2,4))$	$16$	$1/2$	$3$	$51$	$1230$	$34195$	$1028538$	$1028538$	$3$	$16$	$126$	$1318$	$15818$	$203173$	$18$	$3622$	$1043490$		✓	$[1, 3, 11, 9, 21, 104, 117, 185, 295, 140, 68, 634, 784, 1885, 3832, 1995, 2066, 5024, 4456, 1351]$
1.6.N.18.4b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(3,3))$	$18$	$11/18$	$3$	$45$	$990$	$27405$	$847098$	$847098$	$3$	$15$	$108$	$1071$	$12798$	$167202$	$16$	$2892$	$871840$		✓	$[1, 3, 10, 7, 18, 82, 91, 150, 243, 110, 58, 519, 642, 1597, 3306, 1719, 1809, 4366, 3906, 1145]$
1.6.N.18.5a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(3,6)$	$18$	$1/9$	$6$	$90$	$1900$	$48090$	$1346436$	$1346436$	$3$	$21$	$185$	$1917$	$21933$	$267315$	$32$	$5208$	$1320720$		✓	$[1, 6, 16, 14, 27, 156, 162, 224, 390, 156, 100, 837, 996, 2322, 4604, 2270, 2313, 5556, 4744, 1354]$
1.6.N.24.6b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(3,4))$	$24$	$7/12$	$3$	$45$	$950$	$24465$	$708498$	$708498$	$3$	$15$	$106$	$1005$	$11348$	$140912$	$16$	$2644$	$713050$		✓	$[1, 3, 10, 7, 18, 78, 84, 133, 203, 93, 50, 437, 528, 1267, 2574, 1327, 1393, 3338, 2976, 877]$
1.6.N.24.6c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(1,12))$	$24$	$1/2$	$3$	$51$	$1230$	$33635$	$978138$	$978138$	$3$	$16$	$126$	$1310$	$15458$	$193293$	$18$	$3570$	$967300$		✓	$[1, 3, 11, 9, 21, 104, 116, 180, 283, 127, 68, 614, 742, 1727, 3426, 1699, 1768, 4172, 3572, 1027]$
1.6.N.24.14b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(6,2))$	$24$	$7/12$	$3$	$45$	$930$	$23625$	$684558$	$684558$	$3$	$15$	$105$	$981$	$10983$	$136332$	$16$	$2580$	$694030$		✓	$[1, 3, 10, 7, 18, 76, 82, 129, 195, 95, 46, 417, 516, 1225, 2514, 1317, 1365, 3310, 2958, 899]$
1.6.N.24.14c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(2,6))$	$24$	$1/2$	$3$	$51$	$1230$	$33635$	$978138$	$978138$	$3$	$16$	$126$	$1310$	$15458$	$193293$	$18$	$3570$	$967300$		✓	$[1, 3, 11, 9, 21, 104, 116, 180, 283, 127, 68, 614, 742, 1727, 3426, 1701, 1768, 4174, 3572, 1035]$
1.6.N.32.34a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(4,4))$	$32$	$1/2$	$3$	$45$	$930$	$22575$	$612738$	$612738$	$3$	$15$	$105$	$966$	$10398$	$122802$	$16$	$2478$	$599200$		✓	$[1, 3, 10, 7, 18, 76, 79, 123, 177, 83, 46, 384, 444, 1039, 2052, 1047, 1101, 2596, 2295, 689]$
1.6.N.36.13a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(3,6))$	$36$	$5/9$	$3$	$45$	$950$	$24045$	$673218$	$673218$	$3$	$15$	$106$	$999$	$11088$	$134022$	$16$	$2604$	$660360$		✓	$[1, 3, 10, 7, 18, 78, 83, 130, 195, 86, 50, 423, 498, 1161, 2302, 1135, 1197, 2778, 2390, 677]$
1.6.N.36.14a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(6,6)$	$36$	$1/18$	$6$	$90$	$1860$	$44730$	$1172556$	$1172556$	$3$	$21$	$183$	$1845$	$20223$	$234135$	$32$	$4920$	$1109240$		✓	$[1, 6, 16, 14, 27, 152, 154, 204, 342, 132, 92, 741, 852, 1886, 3600, 1686, 1701, 3968, 3228, 886]$
1.6.N.72.49a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(6,6))$	$72$	$19/36$	$3$	$45$	$930$	$22365$	$586278$	$586278$	$3$	$15$	$105$	$963$	$10233$	$117432$	$16$	$2460$	$554620$		✓	$[1, 3, 10, 7, 18, 76, 79, 120, 171, 74, 46, 375, 426, 943, 1800, 843, 891, 1984, 1632, 443]$