Sato-Tate group search results

Results (23 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.18.3a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(C(3,1))$	$18$	$17/18$	$1$	$27$	$810$	$25515$	$826686$	$826686$	$1$	$7$	$72$	$891$	$11826$	$161676$	$10$	$2622$	$858610$		✓	$[1, 1, 6, 5, 10, 72, 82, 131, 233, 101, 48, 503, 632, 1587, 3288, 1703, 1767, 4352, 3878, 1135]$
1.6.N.24.12a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(C(2,2))$	$24$	$5/6$	$1$	$21$	$610$	$19145$	$620046$	$620046$	$1$	$7$	$58$	$681$	$8906$	$121366$	$8$	$1972$	$644030$		✓	$[1, 1, 6, 5, 10, 54, 66, 107, 177, 91, 38, 381, 488, 1193, 2466, 1297, 1343, 3294, 2938, 895]$
1.6.N.24.13a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(C(2,2))$	$24$	$5/6$	$1$	$21$	$610$	$19145$	$620046$	$620046$	$1$	$6$	$56$	$674$	$8886$	$121305$	$8$	$1972$	$644030$		✓	$[1, 1, 5, 5, 9, 54, 65, 103, 177, 86, 38, 378, 488, 1193, 2466, 1297, 1334, 3294, 2926, 895]$
1.6.N.36.10a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(D(3,1))$	$36$	$13/18$	$1$	$15$	$410$	$12775$	$413406$	$413406$	$1$	$5$	$40$	$457$	$5946$	$80934$	$6$	$1322$	$429450$		✓	$[1, 1, 4, 5, 8, 36, 48, 75, 121, 71, 28, 253, 344, 799, 1644, 891, 901, 2236, 1974, 655]$
1.6.N.42.1a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(C(1,7))$	$42$	$5/6$	$1$	$15$	$370$	$11095$	$355446$	$355446$	$1$	$5$	$38$	$409$	$5176$	$69734$	$6$	$1158$	$368910$		✓	$[1, 1, 4, 3, 6, 32, 37, 60, 101, 46, 22, 217, 272, 681, 1411, 731, 767, 1866, 1667, 489]$
1.6.N.48.48a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(D(2,2))$	$48$	$2/3$	$1$	$12$	$310$	$9590$	$310086$	$310086$	$1$	$5$	$33$	$352$	$4486$	$60779$	$5$	$997$	$322160$		✓	$[1, 1, 4, 4, 7, 27, 37, 60, 91, 57, 21, 192, 258, 600, 1233, 669, 684, 1677, 1489, 492]$
1.6.N.54.5a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(C(3,3))$	$54$	$47/54$	$1$	$15$	$330$	$9135$	$282366$	$282366$	$1$	$5$	$36$	$357$	$4266$	$55734$	$6$	$966$	$290620$		✓	$[1, 1, 4, 3, 6, 28, 31, 50, 81, 38, 20, 173, 214, 533, 1104, 573, 605, 1456, 1302, 385]$
1.6.N.54.8a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(C(3,3))$	$54$	$47/54$	$1$	$15$	$330$	$9135$	$282366$	$282366$	$1$	$5$	$36$	$357$	$4266$	$55734$	$6$	$966$	$290620$		✓	$[1, 1, 4, 3, 6, 28, 31, 50, 81, 38, 20, 173, 214, 533, 1104, 573, 605, 1456, 1302, 385]$
1.6.N.72.39a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_n(E(36))$	$72$	$11/18$	$1$	$9$	$210$	$6405$	$206766$	$206766$	$1$	$3$	$20$	$227$	$2966$	$40442$	$4$	$672$	$214870$		✓	$[1, 1, 2, 3, 4, 18, 24, 35, 61, 35, 14, 127, 172, 401, 822, 447, 445, 1118, 986, 329]$
1.6.N.72.40a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(E(36))$	$72$	$11/18$	$1$	$9$	$210$	$6405$	$206766$	$206766$	$1$	$4$	$24$	$240$	$3006$	$40563$	$4$	$672$	$214870$		✓	$[1, 1, 3, 3, 5, 18, 25, 41, 61, 38, 14, 128, 172, 401, 822, 447, 458, 1118, 992, 329]$
1.6.N.72.42a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(C(6,2))$	$72$	$31/36$	$1$	$15$	$310$	$7875$	$228186$	$228186$	$1$	$5$	$34$	$323$	$3646$	$45394$	$6$	$862$	$231350$		✓	$[1, 1, 4, 3, 6, 26, 28, 41, 65, 33, 16, 139, 172, 409, 840, 439, 451, 1104, 986, 303]$
1.6.N.72.44a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(C(6,2))$	$72$	$31/36$	$1$	$15$	$310$	$7875$	$228186$	$228186$	$1$	$5$	$35$	$327$	$3661$	$45444$	$6$	$862$	$231350$		✓	$[1, 1, 4, 3, 6, 26, 28, 43, 65, 33, 16, 139, 172, 409, 840, 439, 457, 1104, 986, 303]$
1.6.N.96.64a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(C(4,4))$	$96$	$5/6$	$1$	$15$	$310$	$7525$	$204246$	$204246$	$1$	$5$	$34$	$319$	$3456$	$40904$	$6$	$828$	$199740$		✓	$[1, 1, 4, 3, 6, 26, 27, 40, 59, 30, 16, 129, 148, 347, 686, 349, 367, 866, 768, 233]$
1.6.N.96.72a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(C(4,4))$	$96$	$5/6$	$1$	$15$	$310$	$7525$	$204246$	$204246$	$1$	$5$	$35$	$322$	$3466$	$40934$	$6$	$828$	$199740$		✓	$[1, 1, 4, 3, 6, 26, 27, 41, 59, 29, 16, 128, 148, 347, 686, 349, 369, 866, 765, 233]$
1.6.N.108.17a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(D(3,3))$	$108$	$37/54$	$1$	$9$	$170$	$4585$	$141246$	$141246$	$1$	$4$	$22$	$190$	$2166$	$27963$	$4$	$492$	$145410$		✓	$[1, 1, 3, 3, 5, 14, 19, 31, 43, 28, 12, 88, 118, 269, 552, 301, 314, 750, 666, 223]$
1.6.N.144.182a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(E(72))$	$144$	$5/9$	$1$	$6$	$110$	$3220$	$103446$	$103446$	$1$	$3$	$14$	$125$	$1516$	$20317$	$3$	$347$	$107580$		✓	$[1, 1, 2, 2, 3, 9, 13, 21, 31, 20, 7, 65, 86, 202, 411, 225, 230, 559, 498, 166]$
1.6.N.144.183a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(D(6,2))$	$144$	$49/72$	$1$	$9$	$160$	$3955$	$114156$	$114156$	$1$	$4$	$21$	$173$	$1856$	$22793$	$4$	$442$	$115820$		✓	$[1, 1, 3, 3, 5, 13, 18, 27, 35, 28, 10, 71, 100, 208, 420, 240, 238, 582, 513, 196]$
1.6.N.192.956a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(D(4,4))$	$192$	$2/3$	$1$	$9$	$160$	$3780$	$102186$	$102186$	$1$	$4$	$21$	$171$	$1761$	$20548$	$4$	$423$	$99970$	✓	✓	$[1, 1, 3, 3, 5, 13, 17, 26, 32, 24, 10, 66, 85, 176, 343, 188, 195, 454, 399, 143]$
1.6.N.216.95a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(C(6,6))$	$216$	$91/108$	$1$	$15$	$310$	$7455$	$195426$	$195426$	$1$	$5$	$34$	$317$	$3396$	$39094$	$6$	$822$	$184880$		✓	$[1, 1, 4, 3, 6, 26, 27, 38, 57, 26, 16, 125, 142, 315, 602, 281, 293, 662, 544, 151]$
1.6.N.216.99a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(C(6,6))$	$216$	$91/108$	$1$	$15$	$310$	$7455$	$195426$	$195426$	$1$	$5$	$35$	$321$	$3411$	$39144$	$6$	$822$	$184880$		✓	$[1, 1, 4, 3, 6, 26, 27, 40, 57, 26, 16, 125, 142, 315, 602, 281, 299, 662, 544, 151]$
1.6.N.336.208a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(E(168))$	$336$	$2/3$	$1$	$6$	$70$	$1540$	$45486$	$45486$	$1$	$3$	$12$	$77$	$746$	$9117$	$3$	$183$	$47040$	✓	✓	$[1, 1, 2, 2, 3, 5, 8, 12, 15, 13, 5, 29, 42, 88, 178, 103, 106, 249, 221, 86]$
1.6.N.432.523a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(D(6,6))$	$432$	$145/216$	$1$	$9$	$160$	$3745$	$97776$	$97776$	$1$	$4$	$21$	$170$	$1731$	$19643$	$4$	$420$	$92540$	✓	✓	$[1, 1, 3, 3, 5, 13, 17, 25, 31, 22, 10, 64, 82, 160, 301, 154, 158, 352, 287, 102]$
1.6.N.432.734a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(E(216))$	$432$	$17/27$	$1$	$6$	$70$	$1400$	$37926$	$37926$	$1$	$3$	$12$	$75$	$676$	$7717$	$3$	$167$	$38120$	✓	✓	$[1, 1, 2, 2, 3, 5, 7, 11, 13, 10, 5, 25, 32, 70, 141, 79, 86, 191, 172, 60]$