Sato-Tate group search results

Results (38 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.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.6.2a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(A(3,1))$	$6$	$5/6$	$3$	$81$	$2430$	$76545$	$2480058$	$2480058$	$2$	$18$	$207$	$2646$	$35397$	$484785$	$28$	$7860$	$2575810$		✓	$[1, 3, 15, 13, 27, 214, 243, 381, 699, 294, 142, 1506, 1896, 4759, 9858, 5109, 5268, 13054, 11622, 3395]$
1.6.N.8.1a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_n(A(1,4)_2)$	$8$	$1/2$	$3$	$63$	$1830$	$57435$	$1860138$	$1860138$	$2$	$14$	$155$	$1982$	$26537$	$363551$	$22$	$5910$	$1932070$		✓	$[1, 3, 11, 11, 21, 160, 185, 285, 527, 228, 108, 1130, 1436, 3573, 7392, 3853, 3946, 9820, 8730, 2589]$
1.6.N.8.2a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(A(1,4)_2)$	$8$	$1/2$	$3$	$63$	$1830$	$57435$	$1860138$	$1860138$	$2$	$16$	$161$	$2002$	$26597$	$363733$	$22$	$5910$	$1932070$		✓	$[1, 3, 13, 11, 23, 160, 187, 295, 527, 236, 108, 1134, 1436, 3573, 7392, 3853, 3968, 9820, 8748, 2589]$
1.6.N.8.3a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(A(2,2))$	$8$	$1/2$	$3$	$63$	$1830$	$57435$	$1860138$	$1860138$	$2$	$16$	$161$	$2002$	$26597$	$363733$	$22$	$5910$	$1932070$		✓	$[1, 3, 13, 13, 25, 160, 193, 301, 531, 254, 112, 1134, 1464, 3577, 7392, 3891, 3978, 9880, 8778, 2675]$
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.12.2a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_n(A(3,2))$	$12$	$2/3$	$3$	$57$	$1430$	$41265$	$1283058$	$1283058$	$2$	$14$	$131$	$1510$	$19037$	$252221$	$20$	$4340$	$1321290$		✓	$[1, 3, 11, 9, 19, 122, 135, 201, 363, 158, 78, 778, 976, 2403, 4962, 2581, 2636, 6558, 5838, 1731]$
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.12.5a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(A(3,2))$	$12$	$2/3$	$3$	$57$	$1430$	$41265$	$1283058$	$1283058$	$2$	$14$	$133$	$1518$	$19067$	$252321$	$20$	$4340$	$1321290$		✓	$[1, 3, 11, 9, 19, 122, 135, 205, 363, 158, 78, 778, 976, 2403, 4962, 2581, 2648, 6558, 5838, 1731]$
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.16.6a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(A(1,8)_1)$	$16$	$1/2$	$3$	$45$	$1050$	$30135$	$945378$	$945378$	$2$	$12$	$101$	$1116$	$13967$	$185829$	$16$	$3178$	$977530$		✓	$[1, 3, 9, 7, 15, 88, 99, 151, 269, 120, 58, 574, 722, 1789, 3704, 1933, 1986, 4914, 4380, 1297]$
1.6.N.16.6b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_n(A(2,4))$	$16$	$1/2$	$3$	$51$	$1230$	$34195$	$1028538$	$1028538$	$2$	$12$	$113$	$1278$	$15697$	$202809$	$18$	$3622$	$1043490$		✓	$[1, 3, 9, 9, 17, 104, 115, 167, 295, 132, 68, 630, 784, 1885, 3832, 1995, 2026, 5024, 4438, 1351]$
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.16.8b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(A(1,8)_2)$	$16$	$1/2$	$3$	$51$	$1230$	$34195$	$1028538$	$1028538$	$2$	$14$	$119$	$1298$	$15757$	$202991$	$18$	$3618$	$1043400$		✓	$[1, 3, 11, 9, 19, 104, 116, 176, 295, 135, 68, 634, 778, 1883, 3832, 1981, 2046, 5006, 4446, 1315]$
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.16.13b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(A(2,4))$	$16$	$1/2$	$3$	$51$	$1230$	$34195$	$1028538$	$1028538$	$2$	$14$	$119$	$1298$	$15757$	$202991$	$18$	$3622$	$1043490$		✓	$[1, 3, 11, 9, 19, 104, 117, 177, 295, 140, 68, 634, 784, 1885, 3832, 1995, 2048, 5024, 4456, 1351]$
1.6.N.18.3b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(A(3,3))$	$18$	$11/18$	$3$	$45$	$990$	$27405$	$847098$	$847098$	$2$	$12$	$99$	$1044$	$12717$	$166959$	$16$	$2892$	$871840$		✓	$[1, 3, 9, 7, 15, 82, 90, 138, 243, 105, 58, 516, 642, 1597, 3306, 1719, 1782, 4366, 3894, 1145]$
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.24.1a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_n(A(1,12))$	$24$	$1/2$	$3$	$51$	$1230$	$33635$	$978138$	$978138$	$2$	$12$	$113$	$1270$	$15337$	$192929$	$18$	$3570$	$967300$		✓	$[1, 3, 9, 9, 17, 104, 114, 162, 283, 119, 68, 610, 742, 1727, 3426, 1699, 1728, 4172, 3554, 1027]$
1.6.N.24.5b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(A(1,12))$	$24$	$1/2$	$3$	$51$	$1230$	$33635$	$978138$	$978138$	$2$	$14$	$119$	$1290$	$15397$	$193111$	$18$	$3570$	$967300$		✓	$[1, 3, 11, 9, 19, 104, 116, 172, 283, 127, 68, 614, 742, 1727, 3426, 1699, 1750, 4172, 3572, 1027]$
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.24.8b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(A(2,6))$	$24$	$1/2$	$3$	$51$	$1230$	$33635$	$978138$	$978138$	$2$	$14$	$119$	$1290$	$15397$	$193111$	$18$	$3570$	$967300$		✓	$[1, 3, 11, 9, 19, 104, 116, 172, 283, 127, 68, 614, 742, 1727, 3426, 1701, 1750, 4174, 3572, 1035]$
1.6.N.24.10a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(A(6,2))$	$24$	$7/12$	$3$	$45$	$930$	$23625$	$684558$	$684558$	$2$	$12$	$95$	$950$	$10887$	$136039$	$16$	$2580$	$694030$		✓	$[1, 3, 9, 7, 15, 76, 81, 115, 195, 90, 46, 414, 516, 1225, 2514, 1317, 1332, 3310, 2946, 899]$
1.6.N.24.10b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(A(3,4))$	$24$	$7/12$	$3$	$45$	$950$	$24465$	$708498$	$708498$	$2$	$12$	$97$	$978$	$11267$	$140669$	$16$	$2644$	$713050$		✓	$[1, 3, 9, 7, 15, 78, 83, 121, 203, 88, 50, 434, 528, 1267, 2574, 1327, 1366, 3338, 2964, 877]$
1.6.N.24.11a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_n(A(3,4))$	$24$	$7/12$	$3$	$45$	$950$	$24465$	$708498$	$708498$	$2$	$12$	$95$	$970$	$11237$	$140569$	$16$	$2644$	$713050$		✓	$[1, 3, 9, 7, 15, 78, 83, 117, 203, 88, 50, 434, 528, 1267, 2574, 1327, 1354, 3338, 2964, 877]$
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.32.11a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(A(4,4))$	$32$	$1/2$	$3$	$45$	$930$	$22575$	$612738$	$612738$	$2$	$12$	$95$	$936$	$10307$	$122529$	$16$	$2478$	$599200$		✓	$[1, 3, 9, 7, 15, 76, 78, 110, 177, 79, 46, 382, 444, 1039, 2052, 1047, 1072, 2596, 2286, 689]$
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.36.6a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_n(A(3,6))$	$36$	$5/9$	$3$	$45$	$950$	$24045$	$673218$	$673218$	$2$	$12$	$95$	$964$	$10977$	$133679$	$16$	$2604$	$660360$		✓	$[1, 3, 9, 7, 15, 78, 82, 114, 195, 81, 50, 420, 498, 1161, 2302, 1135, 1158, 2778, 2378, 677]$
1.6.N.36.12a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(A(3,6))$	$36$	$5/9$	$3$	$45$	$950$	$24045$	$673218$	$673218$	$2$	$12$	$97$	$972$	$11007$	$133779$	$16$	$2604$	$660360$		✓	$[1, 3, 9, 7, 15, 78, 82, 118, 195, 81, 50, 420, 498, 1161, 2302, 1135, 1170, 2778, 2378, 677]$
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.72.30a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(A(6,6))$	$72$	$19/36$	$3$	$45$	$930$	$22365$	$586278$	$586278$	$2$	$12$	$95$	$932$	$10137$	$117139$	$16$	$2460$	$554620$		✓	$[1, 3, 9, 7, 15, 76, 78, 106, 171, 69, 46, 372, 426, 943, 1800, 843, 858, 1984, 1620, 443]$
1.6.N.72.49a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(6,6))$	$72$	$19/36$	$3$	$45$	$930$	$22365$	$586278$	$586278$	$3$	$15$	$105$	$963$	$10233$	$117432$	$16$	$2460$	$554620$		✓	$[1, 3, 10, 7, 18, 76, 79, 120, 171, 74, 46, 375, 426, 943, 1800, 843, 891, 1984, 1632, 443]$