Sato-Tate group search results

Results (38 matches)

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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
1.4.F.4.1a	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$C_{4,1}$	$4$	$3/4$	$2$	$24$	$320$	$4480$	$64512$	$64512$	$1$	$5$	$22$	$115$	$606$	$3314$					✓	$[1, 2, 4, 9, 20, 16, 26, 77, 92, 52]$
1.4.F.4.2a	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$D_2$	$4$	$3/4$	$2$	$24$	$320$	$4480$	$64512$	$64512$	$1$	$6$	$22$	$118$	$606$	$3324$					✓	$[1, 2, 5, 10, 20, 20, 26, 79, 92, 60]$
1.4.F.4.2b	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$J(C_2)$	$4$	$3/4$	$2$	$24$	$320$	$4480$	$64512$	$64512$	$1$	$7$	$22$	$123$	$606$	$3346$					✓	$[1, 2, 6, 11, 20, 26, 26, 83, 92, 78]$
1.4.F.4.2c	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$D_{2,1}$	$4$	$3/4$	$2$	$24$	$320$	$4480$	$64512$	$64512$	$2$	$7$	$26$	$123$	$622$	$3346$					✓	$[1, 2, 4, 11, 20, 18, 26, 77, 92, 54]$
1.6.E.1.1a	$1$	$6$	$9$	$\mathrm{SU}(2)^3$	$E$	$1$	$0$	$3$	$24$	$285$	$4242$	$73206$	$73206$	$3$	$12$	$60$	$363$	$2553$	$20109$	$13$	$728$	$73565$		✓	$[1, 3, 7, 4, 6, 22, 19, 27, 30, 10, 10, 45, 45, 88, 140, 57, 77, 118, 78, 20]$
1.6.H.4.1a	$1$	$6$	$3$	$\mathrm{U}(1)^3$	$H_{act}$	$4$	$1/2$	$2$	$24$	$470$	$11200$	$293202$	$293202$	$2$	$8$	$53$	$482$	$5117$	$58715$	$10$	$1254$	$277600$		✓	$[1, 2, 5, 4, 8, 38, 39, 54, 86, 35, 24, 188, 214, 474, 900, 424, 431, 990, 807, 218]$
1.6.J.6.1b	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_1(J(E_3))$	$6$	$0$	$3$	$24$	$345$	$6832$	$159264$	$159264$	$2$	$8$	$45$	$348$	$3267$	$34220$	$10$	$846$	$154620$		✓	$[1, 3, 5, 5, 8, 26, 29, 36, 55, 25, 19, 102, 121, 248, 466, 224, 220, 489, 394, 110]$
1.6.J.8.3c	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_1(J(E_4))$	$8$	$0$	$3$	$24$	$340$	$6454$	$142674$	$142674$	$2$	$8$	$44$	$329$	$2962$	$29790$	$10$	$780$	$129960$		✓	$[1, 3, 5, 5, 8, 25, 27, 33, 47, 26, 18, 93, 108, 205, 368, 187, 174, 396, 315, 109]$
1.6.J.12.4d	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_1(J(E_6))$	$12$	$0$	$3$	$24$	$340$	$6440$	$140994$	$140994$	$2$	$8$	$44$	$328$	$2932$	$29110$	$10$	$774$	$124700$		✓	$[1, 3, 5, 5, 8, 25, 27, 32, 45, 23, 18, 92, 106, 195, 340, 161, 154, 336, 256, 85]$
1.6.L.12.4a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_3),J(C_3))$	$12$	$1/2$	$2$	$24$	$480$	$12040$	$336672$	$336672$	$2$	$9$	$56$	$507$	$5562$	$67046$	$9$	$1311$	$330040$		✓	$[1, 2, 6, 5, 11, 39, 45, 71, 102, 56, 27, 213, 264, 583, 1150, 586, 607, 1422, 1209, 383]$
1.6.L.12.4b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_3),D_3)$	$12$	$1/2$	$2$	$24$	$480$	$12040$	$336672$	$336672$	$2$	$9$	$56$	$507$	$5562$	$67046$	$9$	$1311$	$330030$		✓	$[1, 2, 6, 5, 11, 39, 45, 69, 100, 52, 27, 213, 260, 583, 1150, 580, 601, 1401, 1196, 355]$
1.6.L.12.4c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{6,1},D_3)$	$12$	$1/2$	$2$	$24$	$480$	$12040$	$336672$	$336672$	$2$	$9$	$57$	$511$	$5577$	$67096$	$9$	$1311$	$330030$		✓	$[1, 2, 6, 5, 11, 39, 45, 71, 100, 52, 27, 213, 260, 583, 1150, 580, 607, 1401, 1196, 355]$
1.6.L.12.4d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{6,1},C_{6,1})$	$12$	$1/2$	$2$	$24$	$480$	$12040$	$336672$	$336672$	$2$	$9$	$57$	$511$	$5577$	$67096$	$9$	$1311$	$330040$		✓	$[1, 2, 6, 5, 11, 39, 45, 69, 98, 48, 27, 213, 256, 583, 1150, 574, 601, 1382, 1185, 331]$
1.6.L.12.4e	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_3),D_{3,2})$	$12$	$1/2$	$2$	$24$	$480$	$12040$	$336672$	$336672$	$2$	$9$	$56$	$507$	$5562$	$67046$	$10$	$1326$	$330250$		✓	$[1, 2, 6, 4, 9, 39, 42, 62, 98, 44, 26, 213, 250, 583, 1150, 569, 586, 1381, 1182, 331]$
1.6.L.12.4f	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{6,1},D_{3,2})$	$12$	$1/2$	$2$	$24$	$480$	$12040$	$336672$	$336672$	$2$	$9$	$57$	$511$	$5577$	$67096$	$10$	$1326$	$330250$		✓	$[1, 2, 6, 4, 9, 39, 42, 64, 98, 44, 26, 213, 250, 583, 1150, 569, 592, 1381, 1182, 331]$
1.6.L.16.11d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_4),D_4)$	$16$	$1/2$	$2$	$24$	$470$	$11235$	$297612$	$297612$	$2$	$9$	$56$	$492$	$5172$	$59691$	$9$	$1242$	$284820$		✓	$[1, 2, 6, 5, 11, 38, 43, 66, 89, 48, 25, 191, 227, 490, 942, 469, 490, 1113, 940, 285]$
1.6.L.16.11e	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_4),J(C_4))$	$16$	$1/2$	$2$	$24$	$470$	$11235$	$297612$	$297612$	$2$	$9$	$56$	$492$	$5172$	$59691$	$9$	$1245$	$284880$		✓	$[1, 2, 6, 5, 11, 38, 43, 66, 90, 49, 25, 191, 228, 490, 942, 471, 491, 1124, 947, 300]$
1.6.L.16.11f	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_4),D_{4,2})$	$16$	$1/2$	$2$	$24$	$470$	$11235$	$297612$	$297612$	$2$	$9$	$56$	$492$	$5172$	$59691$	$10$	$1257$	$285040$		✓	$[1, 2, 6, 4, 9, 38, 40, 59, 87, 40, 24, 191, 217, 490, 942, 458, 475, 1093, 926, 261]$
1.6.L.24.12b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(O_1)$	$24$	$0$	$3$	$24$	$350$	$7280$	$184338$	$184338$	$2$	$8$	$45$	$349$	$3372$	$37405$	$10$	$852$	$176980$		✓	$[1, 3, 5, 5, 8, 26, 29, 37, 57, 28, 20, 117, 140, 303, 588, 301, 303, 710, 606, 185]$
1.6.L.24.13b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(J(T))$	$24$	$0$	$3$	$24$	$350$	$7280$	$184338$	$184338$	$2$	$8$	$44$	$344$	$3352$	$37335$	$10$	$846$	$176880$		✓	$[1, 3, 5, 5, 8, 26, 29, 38, 59, 33, 20, 116, 146, 303, 588, 309, 303, 730, 615, 211]$
1.6.L.24.14e	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_6),J(C_6))$	$24$	$1/2$	$2$	$24$	$470$	$11200$	$293202$	$293202$	$2$	$9$	$56$	$491$	$5142$	$58786$	$9$	$1239$	$277400$		✓	$[1, 2, 6, 5, 11, 38, 43, 65, 88, 46, 25, 189, 224, 474, 900, 435, 453, 1012, 829, 246]$
1.6.L.24.14f	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_6),D_6)$	$24$	$1/2$	$2$	$24$	$470$	$11200$	$293202$	$293202$	$2$	$9$	$56$	$491$	$5142$	$58786$	$9$	$1239$	$277390$		✓	$[1, 2, 6, 5, 11, 38, 43, 65, 88, 46, 25, 189, 224, 474, 900, 435, 453, 1011, 828, 244]$
1.6.L.24.14g	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_6),D_{6,2})$	$24$	$1/2$	$2$	$24$	$470$	$11200$	$293202$	$293202$	$2$	$9$	$56$	$491$	$5142$	$58786$	$10$	$1254$	$277610$		✓	$[1, 2, 6, 4, 9, 38, 40, 58, 86, 38, 24, 189, 214, 474, 900, 424, 438, 991, 814, 220]$
1.6.L.48.48e	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(J(O))$	$48$	$0$	$3$	$24$	$340$	$6475$	$145278$	$145278$	$2$	$8$	$44$	$329$	$2962$	$29980$	$10$	$780$	$131720$		✓	$[1, 3, 5, 5, 8, 25, 27, 33, 47, 26, 18, 94, 110, 210, 380, 194, 187, 432, 353, 128]$
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	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(6,6))$	$144$	$37/72$	$2$	$24$	$470$	$11200$	$293202$	$293202$	$2$	$9$	$56$	$491$	$5142$	$58787$	$9$	$1239$	$277410$		✓	$[1, 2, 6, 5, 11, 38, 43, 65, 88, 46, 25, 189, 224, 474, 900, 435, 454, 1013, 831, 248]$

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