Sato-Tate group search results

Results (35 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.L.1.1a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(C_1)$	$1$	$0$	$10$	$198$	$4900$	$134470$	$3912300$	$3912300$	$5$	$43$	$443$	$5059$	$61295$	$771445$	$68$	$14244$	$3866000$		✓	$[1, 10, 34, 30, 61, 416, 444, 636, 1122, 446, 264, 2435, 2924, 6898, 13696, 6734, 6859, 16500, 14000, 3906]$
1.6.L.2.1b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(J(C_1))$	$2$	$0$	$6$	$102$	$2460$	$67270$	$1956276$	$1956276$	$2$	$22$	$221$	$2530$	$30647$	$385723$	$38$	$7170$	$1933640$		✓	$[1, 6, 19, 24, 36, 208, 239, 340, 586, 291, 142, 1222, 1552, 3462, 6848, 3484, 3479, 8500, 7153, 2278]$
1.6.L.2.1d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(C_2)$	$2$	$0$	$6$	$102$	$2460$	$67270$	$1956276$	$1956276$	$3$	$23$	$225$	$2539$	$30673$	$385793$	$36$	$7140$	$1933200$		✓	$[1, 6, 18, 18, 33, 208, 228, 324, 566, 238, 136, 1219, 1484, 3454, 6848, 3394, 3439, 8292, 7024, 2006]$
1.6.L.2.1f	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(C_{2,1})$	$2$	$0$	$6$	$102$	$2460$	$67270$	$1956276$	$1956276$	$4$	$26$	$235$	$2570$	$30769$	$386087$	$38$	$7170$	$1933640$		✓	$[1, 6, 19, 16, 32, 208, 223, 324, 562, 227, 134, 1222, 1464, 3454, 6848, 3372, 3443, 8252, 7009, 1958]$
1.6.L.2.1g	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(C_1)$	$2$	$0$	$9$	$147$	$3090$	$76195$	$2085174$	$2085174$	$5$	$35$	$299$	$2995$	$33535$	$404045$	$50$	$7890$	$1973960$		✓	$[1, 9, 26, 19, 44, 248, 239, 338, 565, 226, 164, 1315, 1494, 3493, 6848, 3411, 3448, 8282, 7125, 1997]$
1.6.L.3.1a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(C_3)$	$3$	$0$	$6$	$90$	$1900$	$48090$	$1346436$	$1346436$	$3$	$21$	$185$	$1917$	$21933$	$267271$	$32$	$5208$	$1319720$		✓	$[1, 6, 16, 14, 27, 156, 162, 224, 390, 156, 100, 837, 996, 2322, 4600, 2266, 2301, 5520, 4688, 1314]$
1.6.L.4.1b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(C_{4,1})$	$4$	$0$	$4$	$54$	$1240$	$33670$	$978264$	$978264$	$2$	$12$	$113$	$1270$	$15337$	$192897$	$18$	$3570$	$966600$		✓	$[1, 4, 9, 10, 18, 104, 117, 162, 284, 119, 70, 610, 744, 1728, 3424, 1698, 1721, 4148, 3515, 1004]$
1.6.L.4.1c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(C_4,C_2)$	$4$	$0$	$5$	$63$	$1310$	$34195$	$982170$	$982170$	$3$	$17$	$135$	$1367$	$15773$	$194891$	$26$	$3762$	$971720$		✓	$[1, 5, 12, 11, 18, 108, 117, 164, 285, 122, 68, 611, 742, 1733, 3424, 1703, 1722, 4146, 3519, 1009]$
1.6.L.4.1d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(C_4)$	$4$	$0$	$6$	$90$	$1860$	$44870$	$1190196$	$1190196$	$3$	$21$	$183$	$1847$	$20333$	$237711$	$32$	$4932$	$1138880$		✓	$[1, 6, 16, 14, 27, 152, 154, 206, 346, 138, 92, 747, 864, 1950, 3768, 1822, 1837, 4368, 3658, 1034]$
1.6.L.4.2e	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_2)$	$4$	$0$	$4$	$54$	$1240$	$33670$	$978264$	$978264$	$2$	$13$	$116$	$1279$	$15362$	$192967$	$20$	$3588$	$966800$		✓	$[1, 4, 10, 12, 19, 104, 120, 168, 288, 134, 72, 611, 764, 1732, 3424, 1724, 1729, 4188, 3536, 1056]$
1.6.L.4.2f	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(J(C_2))$	$4$	$0$	$4$	$54$	$1240$	$33670$	$978264$	$978264$	$2$	$14$	$119$	$1290$	$15397$	$193079$	$22$	$3618$	$967240$		✓	$[1, 4, 11, 14, 20, 104, 123, 176, 296, 155, 74, 614, 788, 1736, 3424, 1758, 1751, 4272, 3593, 1168]$
1.6.L.4.2j	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_{2,1})$	$4$	$0$	$4$	$54$	$1240$	$33670$	$978264$	$978264$	$3$	$16$	$126$	$1310$	$15458$	$193261$	$22$	$3618$	$967240$		✓	$[1, 4, 11, 10, 18, 104, 115, 168, 284, 123, 70, 614, 744, 1732, 3424, 1702, 1733, 4148, 3521, 1008]$
1.6.L.6.1b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_3)$	$6$	$0$	$4$	$48$	$960$	$24080$	$673344$	$673344$	$2$	$12$	$96$	$968$	$10992$	$133706$	$18$	$2622$	$660060$		✓	$[1, 4, 9, 10, 16, 78, 87, 118, 200, 93, 54, 420, 520, 1166, 2300, 1160, 1160, 2802, 2368, 710]$
1.6.L.6.1d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_{3,2})$	$6$	$0$	$4$	$48$	$960$	$24080$	$673344$	$673344$	$3$	$15$	$106$	$999$	$11088$	$134000$	$20$	$2652$	$660500$		✓	$[1, 4, 10, 8, 15, 78, 82, 118, 196, 82, 52, 423, 500, 1166, 2300, 1138, 1164, 2762, 2353, 662]$
1.6.L.6.2c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(J(C_3))$	$6$	$0$	$4$	$48$	$960$	$24080$	$673344$	$673344$	$2$	$12$	$95$	$964$	$10977$	$133657$	$18$	$2622$	$660080$		✓	$[1, 4, 9, 10, 16, 78, 87, 120, 204, 101, 54, 420, 528, 1166, 2300, 1172, 1167, 2844, 2395, 766]$
1.6.L.6.2d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(C_{6,1})$	$6$	$0$	$4$	$48$	$960$	$24080$	$673344$	$673344$	$2$	$12$	$97$	$972$	$11007$	$133757$	$18$	$2622$	$660080$		✓	$[1, 4, 9, 10, 16, 78, 87, 116, 196, 85, 54, 420, 512, 1166, 2300, 1148, 1155, 2764, 2347, 662]$
1.6.L.6.2f	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(C_3)$	$6$	$0$	$5$	$63$	$1170$	$27055$	$716310$	$716310$	$3$	$17$	$125$	$1137$	$12013$	$140051$	$24$	$2892$	$673940$		✓	$[1, 5, 12, 9, 18, 92, 87, 120, 197, 80, 62, 453, 510, 1177, 2300, 1149, 1160, 2772, 2387, 673]$
1.6.L.6.2g	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(C_6)$	$6$	$0$	$6$	$90$	$1860$	$44730$	$1172556$	$1172556$	$3$	$21$	$183$	$1845$	$20223$	$234131$	$32$	$4920$	$1109160$		✓	$[1, 6, 16, 14, 27, 152, 154, 204, 342, 132, 92, 741, 852, 1886, 3600, 1686, 1697, 3960, 3216, 870]$
1.6.L.8.2e	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(J(C_4))$	$8$	$0$	$4$	$48$	$940$	$22470$	$595224$	$595224$	$2$	$12$	$95$	$934$	$10197$	$118947$	$18$	$2490$	$569760$		✓	$[1, 4, 9, 10, 16, 76, 83, 110, 180, 87, 50, 376, 456, 980, 1884, 942, 935, 2248, 1871, 600]$
1.6.L.8.3d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_{4,1})$	$8$	$0$	$3$	$30$	$630$	$16870$	$489258$	$489258$	$2$	$9$	$65$	$660$	$7742$	$96666$	$12$	$1818$	$483720$		✓	$[1, 3, 6, 7, 11, 52, 62, 87, 145, 69, 38, 308, 384, 869, 1712, 865, 872, 2096, 1774, 531]$
1.6.L.8.3g	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_4)$	$8$	$0$	$4$	$48$	$940$	$22470$	$595224$	$595224$	$2$	$12$	$95$	$933$	$10192$	$118926$	$18$	$2484$	$569640$		✓	$[1, 4, 9, 10, 16, 76, 83, 109, 178, 84, 50, 375, 454, 980, 1884, 938, 928, 2226, 1853, 570]$
1.6.L.8.3j	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_{4,2})$	$8$	$0$	$4$	$48$	$940$	$22470$	$595224$	$595224$	$3$	$15$	$105$	$964$	$10288$	$119220$	$20$	$2514$	$570080$		✓	$[1, 4, 10, 8, 15, 76, 78, 109, 174, 73, 48, 378, 434, 980, 1884, 916, 932, 2186, 1838, 522]$
1.6.L.8.5d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(J(D_2))$	$8$	$0$	$3$	$30$	$630$	$16870$	$489258$	$489258$	$2$	$10$	$68$	$670$	$7772$	$96757$	$14$	$1842$	$484040$		✓	$[1, 3, 7, 9, 12, 52, 65, 94, 151, 87, 40, 310, 406, 873, 1712, 895, 887, 2158, 1813, 613]$
1.6.L.12.3a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(T)$	$12$	$0$	$4$	$42$	$680$	$14490$	$368424$	$368424$	$2$	$11$	$76$	$657$	$6622$	$74445$	$16$	$1656$	$353320$		✓	$[1, 4, 8, 8, 13, 52, 54, 68, 112, 52, 36, 229, 276, 600, 1176, 596, 591, 1416, 1200, 364]$
1.6.L.12.4g	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(J(D_3))$	$12$	$0$	$3$	$27$	$490$	$12075$	$336798$	$336798$	$2$	$9$	$56$	$507$	$5562$	$67046$	$12$	$1344$	$330460$		✓	$[1, 3, 6, 7, 10, 39, 47, 66, 105, 60, 30, 213, 276, 588, 1150, 602, 595, 1444, 1214, 412]$
1.6.L.12.4h	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_{6,1})$	$12$	$0$	$3$	$27$	$490$	$12075$	$336798$	$336798$	$2$	$9$	$57$	$511$	$5577$	$67096$	$12$	$1344$	$330460$		✓	$[1, 3, 6, 7, 10, 39, 47, 64, 101, 52, 30, 213, 268, 588, 1150, 590, 589, 1404, 1190, 360]$
1.6.L.12.4l	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_6)$	$12$	$0$	$4$	$48$	$940$	$22400$	$586404$	$586404$	$2$	$12$	$95$	$932$	$10137$	$117136$	$18$	$2478$	$554780$		✓	$[1, 4, 9, 10, 16, 76, 83, 108, 176, 81, 50, 372, 448, 948, 1800, 870, 858, 2022, 1632, 488]$
1.6.L.12.4p	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_{6,2})$	$12$	$0$	$4$	$48$	$940$	$22400$	$586404$	$586404$	$3$	$15$	$105$	$963$	$10233$	$117430$	$20$	$2508$	$555220$		✓	$[1, 4, 10, 8, 15, 76, 78, 108, 172, 70, 48, 375, 428, 948, 1800, 848, 862, 1982, 1617, 440]$
1.6.L.12.5f	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(J(C_6))$	$12$	$0$	$4$	$48$	$940$	$22400$	$586404$	$586404$	$2$	$12$	$95$	$932$	$10137$	$117137$	$18$	$2478$	$554800$		✓	$[1, 4, 9, 10, 16, 76, 83, 108, 176, 81, 50, 372, 448, 948, 1800, 870, 859, 2024, 1635, 492]$
1.6.L.16.11g	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(J(D_4))$	$16$	$0$	$3$	$27$	$480$	$11270$	$297738$	$297738$	$2$	$9$	$56$	$492$	$5172$	$59691$	$12$	$1278$	$285300$		✓	$[1, 3, 6, 7, 10, 38, 45, 61, 93, 53, 28, 191, 240, 495, 942, 487, 479, 1146, 952, 329]$
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.24.12d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(O)$	$24$	$0$	$4$	$42$	$660$	$12880$	$290304$	$290304$	$2$	$11$	$75$	$622$	$5822$	$59665$	$16$	$1518$	$262900$		✓	$[1, 4, 8, 8, 13, 50, 50, 59, 90, 43, 32, 184, 210, 414, 760, 374, 359, 840, 685, 224]$
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.24.14h	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(J(D_6))$	$24$	$0$	$3$	$27$	$480$	$11235$	$293328$	$293328$	$2$	$9$	$56$	$491$	$5142$	$58786$	$12$	$1272$	$277820$		✓	$[1, 3, 6, 7, 10, 38, 45, 60, 91, 50, 28, 189, 236, 479, 900, 451, 441, 1034, 834, 275]$
1.6.L.48.48e	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(J(O))$	$48$	$0$	$3$	$24$	$340$	$6475$	$145278$	$145278$	$2$	$8$	$44$	$329$	$2962$	$29980$	$10$	$780$	$131720$		✓	$[1, 3, 5, 5, 8, 25, 27, 33, 47, 26, 18, 94, 110, 210, 380, 194, 187, 432, 353, 128]$