Sato-Tate group search results

Results (14 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.24.12b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$D(2,2)$	$24$	$1/3$	$2$	$24$	$620$	$19180$	$620172$	$620172$	$1$	$6$	$55$	$670$	$8871$	$121254$	$10$	$1994$	$644320$		✓	$[1, 2, 5, 8, 10, 54, 71, 104, 182, 103, 42, 378, 516, 1200, 2466, 1338, 1332, 3354, 2954, 984]$
1.6.N.32.43a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(1,8)_1)$	$32$	$1/2$	$2$	$24$	$530$	$15085$	$472752$	$472752$	$2$	$9$	$59$	$583$	$7057$	$93132$	$9$	$1600$	$488910$		✓	$[1, 2, 6, 5, 11, 44, 54, 88, 137, 74, 31, 290, 375, 898, 1852, 987, 1019, 2487, 2216, 693]$
1.6.N.36.10b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(3,3))$	$36$	$5/9$	$2$	$24$	$500$	$13720$	$423612$	$423612$	$2$	$9$	$58$	$547$	$6432$	$83697$	$9$	$1455$	$436020$		✓	$[1, 2, 6, 5, 11, 41, 49, 81, 124, 64, 31, 261, 332, 801, 1653, 874, 916, 2205, 1968, 603]$
1.6.N.48.15a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(3,4;4))$	$48$	$13/24$	$2$	$24$	$480$	$12250$	$354312$	$354312$	$2$	$9$	$57$	$514$	$5707$	$70552$	$9$	$1329$	$356580$	✓	✓	$[1, 2, 6, 5, 11, 39, 45, 72, 104, 53, 27, 220, 272, 635, 1287, 670, 707, 1681, 1498, 447]$
1.6.N.48.17a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(B(3,4;4))$	$48$	$13/24$	$2$	$24$	$480$	$12250$	$354312$	$354312$	$2$	$9$	$56$	$510$	$5692$	$70502$	$9$	$1329$	$356580$		✓	$[1, 2, 6, 5, 11, 39, 45, 70, 104, 53, 27, 220, 272, 635, 1287, 670, 701, 1681, 1498, 447]$
1.6.N.48.38a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(6,2))$	$48$	$13/24$	$2$	$24$	$470$	$11830$	$342342$	$342342$	$2$	$9$	$56$	$500$	$5517$	$68237$	$9$	$1301$	$347160$		✓	$[1, 2, 6, 5, 11, 38, 45, 70, 100, 59, 25, 210, 272, 616, 1257, 679, 692, 1685, 1499, 494]$
1.6.N.48.38b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(3,4))$	$48$	$13/24$	$2$	$24$	$480$	$12250$	$354312$	$354312$	$2$	$9$	$57$	$514$	$5707$	$70552$	$9$	$1333$	$356670$	✓	✓	$[1, 2, 6, 5, 11, 39, 46, 73, 104, 58, 27, 220, 278, 637, 1287, 684, 709, 1699, 1508, 483]$
1.6.N.48.41a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(B(3,4))$	$48$	$13/24$	$2$	$24$	$480$	$12250$	$354312$	$354312$	$2$	$9$	$56$	$510$	$5692$	$70502$	$9$	$1333$	$356670$	✓	✓	$[1, 2, 6, 5, 11, 39, 46, 71, 104, 58, 27, 220, 278, 637, 1287, 684, 703, 1699, 1508, 483]$
1.6.N.64.134a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(4,4))$	$64$	$1/2$	$2$	$24$	$470$	$11305$	$306432$	$306432$	$2$	$9$	$56$	$493$	$5227$	$61482$	$9$	$1248$	$299700$		✓	$[1, 2, 6, 5, 11, 38, 43, 67, 91, 51, 25, 194, 233, 522, 1026, 537, 561, 1319, 1164, 371]$
1.6.N.72.21a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(B(3,6;2))$	$72$	$19/36$	$2$	$24$	$480$	$12040$	$336672$	$336672$	$2$	$9$	$56$	$507$	$5562$	$67057$	$9$	$1311$	$330280$		✓	$[1, 2, 6, 5, 11, 39, 45, 69, 100, 52, 27, 213, 260, 583, 1151, 580, 604, 1409, 1210, 361]$
1.6.N.72.23a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(B(3,6))$	$72$	$19/36$	$2$	$24$	$480$	$12040$	$336672$	$336672$	$2$	$9$	$56$	$507$	$5562$	$67057$	$9$	$1311$	$330280$		✓	$[1, 2, 6, 5, 11, 39, 45, 69, 100, 52, 27, 213, 260, 583, 1151, 582, 604, 1411, 1210, 369]$
1.6.N.72.23b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(3,6;2))$	$72$	$19/36$	$2$	$24$	$480$	$12040$	$336672$	$336672$	$2$	$9$	$57$	$511$	$5577$	$67107$	$9$	$1311$	$330280$		✓	$[1, 2, 6, 5, 11, 39, 45, 71, 100, 52, 27, 213, 260, 583, 1151, 580, 610, 1409, 1210, 361]$
1.6.N.72.46a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(3,6))$	$72$	$19/36$	$2$	$24$	$480$	$12040$	$336672$	$336672$	$2$	$9$	$57$	$511$	$5577$	$67107$	$9$	$1311$	$330280$		✓	$[1, 2, 6, 5, 11, 39, 45, 71, 100, 52, 27, 213, 260, 583, 1151, 582, 610, 1411, 1210, 369]$
1.6.N.144.154a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(6,6))$	$144$	$37/72$	$2$	$24$	$470$	$11200$	$293202$	$293202$	$2$	$9$	$56$	$491$	$5142$	$58787$	$9$	$1239$	$277410$		✓	$[1, 2, 6, 5, 11, 38, 43, 65, 88, 46, 25, 189, 224, 474, 900, 435, 454, 1013, 831, 248]$