Sato-Tate group search results

Results (24 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.6.1a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(3,1)$	$6$	$1/3$	$4$	$84$	$2440$	$76580$	$2480184$	$2480184$	$2$	$18$	$206$	$2642$	$35382$	$484734$	$30$	$7882$	$2576100$		✓	$[1, 4, 15, 18, 30, 214, 255, 388, 708, 329, 150, 1506, 1952, 4770, 9858, 5188, 5276, 13174, 11680, 3570]$
1.6.N.8.3b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(1,4)_2$	$8$	$0$	$4$	$66$	$1840$	$57470$	$1860264$	$1860264$	$2$	$15$	$158$	$1991$	$26562$	$363621$	$24$	$5932$	$1932360$		✓	$[1, 4, 12, 16, 25, 160, 198, 298, 536, 266, 116, 1131, 1492, 3584, 7392, 3932, 3967, 9940, 8794, 2764]$
1.6.N.8.4a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(1,4;2)_2$	$8$	$0$	$4$	$66$	$1840$	$57470$	$1860264$	$1860264$	$2$	$15$	$158$	$1991$	$26562$	$363621$	$24$	$5932$	$1932360$		✓	$[1, 4, 12, 12, 21, 160, 186, 286, 528, 230, 108, 1131, 1436, 3576, 7392, 3856, 3947, 9820, 8734, 2592]$
1.6.N.12.1a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(3,2;2)$	$12$	$1/6$	$4$	$60$	$1440$	$41300$	$1283184$	$1283184$	$2$	$14$	$132$	$1514$	$19052$	$252270$	$22$	$4362$	$1321580$		✓	$[1, 4, 11, 10, 18, 122, 135, 200, 364, 157, 78, 778, 976, 2406, 4962, 2584, 2636, 6558, 5836, 1734]$
1.6.N.12.4b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(3,2)$	$12$	$1/6$	$4$	$60$	$1440$	$41300$	$1283184$	$1283184$	$2$	$14$	$132$	$1514$	$19052$	$252270$	$22$	$4362$	$1321580$		✓	$[1, 4, 11, 14, 22, 122, 147, 212, 372, 193, 86, 778, 1032, 2414, 4962, 2660, 2656, 6678, 5896, 1906]$
1.6.N.16.6c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(2,4;4)$	$16$	$0$	$4$	$54$	$1240$	$34230$	$1028664$	$1028664$	$2$	$13$	$116$	$1287$	$15722$	$202879$	$20$	$3636$	$1043600$		✓	$[1, 4, 10, 12, 19, 104, 120, 172, 300, 142, 72, 631, 800, 1888, 3832, 2008, 2033, 5048, 4452, 1368]$
1.6.N.16.8c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(1,8)_1$	$16$	$0$	$4$	$48$	$1060$	$30170$	$945504$	$945504$	$2$	$12$	$101$	$1115$	$13962$	$185808$	$18$	$3200$	$977820$		✓	$[1, 4, 9, 10, 16, 88, 105, 153, 274, 136, 62, 573, 750, 1796, 3704, 1974, 1986, 4974, 4405, 1386]$
1.6.N.16.13c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(2,4)$	$16$	$0$	$4$	$54$	$1240$	$34230$	$1028664$	$1028664$	$2$	$13$	$116$	$1287$	$15722$	$202879$	$20$	$3644$	$1043780$		✓	$[1, 4, 10, 12, 19, 104, 122, 174, 300, 152, 72, 631, 812, 1892, 3832, 2036, 2037, 5084, 4472, 1440]$
1.6.N.18.3c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(3,3)$	$18$	$1/9$	$4$	$48$	$1000$	$27440$	$847224$	$847224$	$2$	$12$	$98$	$1040$	$12702$	$166908$	$18$	$2910$	$872040$		✓	$[1, 4, 9, 10, 16, 82, 95, 138, 248, 117, 62, 516, 664, 1602, 3306, 1748, 1778, 4410, 3912, 1206]$
1.6.N.24.1b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(3,4;4)$	$24$	$1/12$	$4$	$48$	$960$	$24500$	$708624$	$708624$	$2$	$12$	$96$	$974$	$11252$	$140618$	$18$	$2658$	$713160$		✓	$[1, 4, 9, 10, 16, 78, 87, 120, 208, 95, 54, 434, 544, 1270, 2574, 1340, 1360, 3362, 2972, 894]$
1.6.N.24.3a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(T,1;1)$	$24$	$0$	$4$	$42$	$800$	$21070$	$640584$	$640584$	$2$	$11$	$82$	$823$	$9762$	$126537$	$16$	$2260$	$657460$		✓	$[1, 4, 8, 8, 13, 64, 72, 104, 188, 84, 48, 391, 492, 1204, 2484, 1304, 1335, 3292, 2930, 880]$
1.6.N.24.3b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(T,1)$	$24$	$1/3$	$4$	$54$	$1040$	$25130$	$706104$	$706104$	$2$	$13$	$106$	$1037$	$11542$	$140919$	$20$	$2792$	$710800$		✓	$[1, 4, 10, 8, 15, 84, 84, 114, 200, 84, 48, 425, 516, 1236, 2532, 1312, 1325, 3296, 2938, 876]$
1.6.N.24.5c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(3,4)$	$24$	$1/12$	$4$	$48$	$960$	$24500$	$708624$	$708624$	$2$	$12$	$96$	$974$	$11252$	$140618$	$18$	$2666$	$713340$		✓	$[1, 4, 9, 10, 16, 78, 89, 122, 208, 105, 54, 434, 556, 1274, 2574, 1368, 1364, 3398, 2992, 966]$
1.6.N.24.8c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(6,2)$	$24$	$1/12$	$4$	$48$	$940$	$23660$	$684684$	$684684$	$2$	$12$	$95$	$950$	$10887$	$136038$	$18$	$2602$	$694320$		✓	$[1, 4, 9, 10, 16, 76, 87, 118, 200, 107, 50, 414, 544, 1232, 2514, 1358, 1336, 3370, 2974, 988]$
1.6.N.24.10c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(1,12)$	$24$	$0$	$4$	$54$	$1240$	$33670$	$978264$	$978264$	$2$	$13$	$116$	$1279$	$15362$	$192999$	$20$	$3588$	$967500$		✓	$[1, 4, 10, 12, 19, 104, 120, 168, 288, 134, 72, 611, 764, 1732, 3426, 1728, 1737, 4216, 3578, 1088]$
1.6.N.24.11b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(1,12;2)$	$24$	$0$	$4$	$54$	$1240$	$33670$	$978264$	$978264$	$2$	$13$	$116$	$1279$	$15362$	$192999$	$20$	$3588$	$967500$		✓	$[1, 4, 10, 12, 19, 104, 120, 168, 288, 134, 72, 611, 764, 1732, 3426, 1724, 1737, 4212, 3578, 1072]$
1.6.N.32.11b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(4,4)$	$32$	$0$	$4$	$48$	$940$	$22610$	$612864$	$612864$	$2$	$12$	$95$	$935$	$10302$	$122508$	$18$	$2496$	$599400$		✓	$[1, 4, 9, 10, 16, 76, 83, 111, 182, 90, 50, 381, 466, 1044, 2052, 1074, 1070, 2638, 2301, 742]$
1.6.N.36.6b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(3,6;2)$	$36$	$1/18$	$4$	$48$	$960$	$24080$	$673344$	$673344$	$2$	$12$	$96$	$968$	$10992$	$133728$	$18$	$2622$	$660560$		✓	$[1, 4, 9, 10, 16, 78, 87, 118, 200, 93, 54, 420, 520, 1166, 2302, 1160, 1166, 2818, 2396, 722]$
1.6.N.36.12b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(3,6)$	$36$	$1/18$	$4$	$48$	$960$	$24080$	$673344$	$673344$	$2$	$12$	$96$	$968$	$10992$	$133728$	$18$	$2622$	$660560$		✓	$[1, 4, 9, 10, 16, 78, 87, 118, 200, 93, 54, 420, 520, 1166, 2302, 1164, 1166, 2822, 2396, 738]$
1.6.N.48.29c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(O,1)$	$48$	$1/6$	$4$	$42$	$660$	$14000$	$368424$	$368424$	$2$	$11$	$75$	$638$	$6452$	$74457$	$16$	$1630$	$367040$		✓	$[1, 4, 8, 8, 13, 50, 54, 67, 110, 63, 32, 220, 290, 626, 1274, 702, 675, 1712, 1507, 528]$
1.6.N.48.33b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(T,2)$	$48$	$1/6$	$4$	$42$	$680$	$14770$	$388584$	$388584$	$2$	$11$	$76$	$661$	$6782$	$78357$	$16$	$1688$	$382900$		✓	$[1, 4, 8, 8, 13, 52, 56, 70, 116, 58, 36, 237, 300, 656, 1316, 700, 691, 1712, 1512, 492]$
1.6.N.72.25a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(T,3)$	$72$	$1/9$	$4$	$42$	$680$	$14490$	$368424$	$368424$	$2$	$11$	$76$	$657$	$6622$	$74457$	$16$	$1656$	$353620$		✓	$[1, 4, 8, 8, 13, 52, 54, 68, 112, 52, 36, 229, 276, 600, 1178, 596, 595, 1424, 1214, 372]$
1.6.N.72.30b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(6,6)$	$72$	$1/36$	$4$	$48$	$940$	$22400$	$586404$	$586404$	$2$	$12$	$95$	$932$	$10137$	$117138$	$18$	$2478$	$554820$		✓	$[1, 4, 9, 10, 16, 76, 83, 108, 176, 81, 50, 372, 448, 948, 1800, 870, 860, 2026, 1638, 496]$
1.6.N.96.67a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(O,2)$	$96$	$1/12$	$4$	$42$	$660$	$12880$	$292824$	$292824$	$2$	$11$	$75$	$622$	$5832$	$60247$	$16$	$1518$	$268960$		✓	$[1, 4, 8, 8, 13, 50, 50, 59, 90, 43, 32, 184, 210, 426, 794, 406, 397, 952, 821, 268]$