Sato-Tate group search results

Results (41 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.2.1a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(C_1),C_1)$	$2$	$1/2$	$5$	$99$	$2450$	$67235$	$1956150$	$1956150$	$2$	$22$	$221$	$2530$	$30647$	$385723$	$34$	$7122$	$1933000$		✓	$[1, 5, 19, 15, 31, 208, 224, 320, 561, 231, 132, 1222, 1462, 3449, 6848, 3367, 3434, 8250, 7018, 1953]$
1.6.L.2.1c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(C_2,C_1)$	$2$	$1/2$	$5$	$99$	$2450$	$67235$	$1956150$	$1956150$	$3$	$23$	$225$	$2539$	$30673$	$385793$	$34$	$7122$	$1933000$		✓	$[1, 5, 18, 15, 32, 208, 223, 322, 561, 226, 132, 1219, 1462, 3449, 6848, 3367, 3436, 8250, 7005, 1953]$
1.6.L.2.1e	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(C_{2,1},C_1)$	$2$	$1/2$	$5$	$99$	$2450$	$67235$	$1956150$	$1956150$	$4$	$26$	$235$	$2570$	$30769$	$386087$	$34$	$7122$	$1933000$		✓	$[1, 5, 19, 15, 35, 208, 224, 336, 561, 231, 132, 1222, 1462, 3449, 6848, 3367, 3470, 8250, 7018, 1953]$
1.6.L.4.1a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(C_{4,1},C_2)$	$4$	$1/2$	$3$	$51$	$1230$	$33635$	$978138$	$978138$	$2$	$12$	$113$	$1270$	$15337$	$192897$	$18$	$3570$	$966600$		✓	$[1, 3, 9, 9, 17, 104, 114, 162, 283, 119, 68, 610, 742, 1727, 3424, 1697, 1720, 4146, 3512, 1003]$
1.6.L.4.2a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_2,C_2)$	$4$	$1/2$	$3$	$51$	$1230$	$33635$	$978138$	$978138$	$2$	$13$	$116$	$1279$	$15362$	$192967$	$18$	$3570$	$966600$		✓	$[1, 3, 10, 9, 18, 104, 115, 166, 283, 122, 68, 611, 742, 1727, 3424, 1697, 1726, 4146, 3517, 1003]$
1.6.L.4.2b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(C_2),J(C_1))$	$4$	$1/2$	$3$	$51$	$1230$	$33635$	$978138$	$978138$	$2$	$14$	$119$	$1290$	$15397$	$193079$	$19$	$3585$	$966820$		✓	$[1, 3, 11, 12, 21, 104, 121, 181, 293, 151, 71, 614, 776, 1731, 3424, 1742, 1763, 4250, 3588, 1139]$
1.6.L.4.2c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(C_2),C_2)$	$4$	$1/2$	$3$	$51$	$1230$	$33635$	$978138$	$978138$	$2$	$14$	$119$	$1290$	$15397$	$193079$	$18$	$3570$	$966600$		✓	$[1, 3, 11, 9, 19, 104, 116, 172, 283, 127, 68, 614, 742, 1727, 3424, 1697, 1742, 4146, 3530, 1003]$
1.6.L.4.2d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(C_2),C_{2,1})$	$4$	$1/2$	$3$	$51$	$1230$	$33635$	$978138$	$978138$	$2$	$14$	$119$	$1290$	$15397$	$193079$	$19$	$3585$	$966820$		✓	$[1, 3, 11, 8, 17, 104, 113, 165, 281, 119, 67, 614, 732, 1727, 3424, 1686, 1727, 4126, 3516, 979]$
1.6.L.4.2h	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{2,1},C_2)$	$4$	$1/2$	$3$	$51$	$1230$	$33635$	$978138$	$978138$	$3$	$16$	$126$	$1310$	$15458$	$193261$	$18$	$3570$	$966600$		✓	$[1, 3, 11, 9, 21, 104, 116, 180, 283, 127, 68, 614, 742, 1727, 3424, 1697, 1760, 4146, 3530, 1003]$
1.6.L.4.2i	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{2,1},C_{2,1})$	$4$	$1/2$	$3$	$51$	$1230$	$33635$	$978138$	$978138$	$3$	$16$	$126$	$1310$	$15458$	$193261$	$19$	$3585$	$966820$		✓	$[1, 3, 11, 8, 19, 104, 113, 173, 281, 119, 67, 614, 732, 1727, 3424, 1686, 1745, 4126, 3516, 979]$
1.6.L.6.1a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_3,C_3)$	$6$	$1/2$	$3$	$45$	$950$	$24045$	$673218$	$673218$	$2$	$12$	$96$	$968$	$10992$	$133706$	$16$	$2604$	$659860$		✓	$[1, 3, 9, 7, 15, 78, 82, 116, 195, 81, 50, 420, 498, 1161, 2300, 1133, 1157, 2760, 2349, 657]$
1.6.L.6.1c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{3,2},C_3)$	$6$	$1/2$	$3$	$45$	$950$	$24045$	$673218$	$673218$	$3$	$15$	$106$	$999$	$11088$	$134000$	$16$	$2604$	$659860$		✓	$[1, 3, 10, 7, 18, 78, 83, 130, 195, 86, 50, 423, 498, 1161, 2300, 1133, 1191, 2760, 2362, 657]$
1.6.L.6.2a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(C_3),C_3)$	$6$	$1/2$	$3$	$45$	$950$	$24045$	$673218$	$673218$	$2$	$12$	$95$	$964$	$10977$	$133657$	$16$	$2604$	$659860$		✓	$[1, 3, 9, 7, 15, 78, 82, 114, 195, 81, 50, 420, 498, 1161, 2300, 1133, 1152, 2760, 2350, 657]$
1.6.L.6.2b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(C_{6,1},C_3)$	$6$	$1/2$	$3$	$45$	$950$	$24045$	$673218$	$673218$	$2$	$12$	$97$	$972$	$11007$	$133757$	$16$	$2604$	$659860$		✓	$[1, 3, 9, 7, 15, 78, 82, 118, 195, 81, 50, 420, 498, 1161, 2300, 1133, 1164, 2760, 2350, 657]$
1.6.L.8.2d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(C_4),C_4)$	$8$	$1/2$	$3$	$45$	$930$	$22435$	$595098$	$595098$	$2$	$12$	$95$	$934$	$10197$	$118947$	$16$	$2466$	$569440$		✓	$[1, 3, 9, 7, 15, 76, 78, 108, 173, 73, 46, 376, 432, 975, 1884, 911, 930, 2184, 1838, 517]$
1.6.L.8.3a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{4,1},C_{4,1})$	$8$	$1/2$	$2$	$27$	$620$	$16835$	$489132$	$489132$	$2$	$9$	$65$	$660$	$7742$	$96666$	$9$	$1785$	$483300$		✓	$[1, 2, 6, 5, 12, 52, 60, 92, 142, 65, 35, 308, 372, 864, 1712, 849, 884, 2074, 1769, 502]$
1.6.L.8.3b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{4,1},D_2)$	$8$	$1/2$	$2$	$27$	$620$	$16835$	$489132$	$489132$	$2$	$9$	$65$	$660$	$7742$	$96666$	$10$	$1794$	$483400$		✓	$[1, 2, 6, 6, 12, 52, 61, 93, 144, 71, 36, 308, 382, 866, 1712, 862, 885, 2094, 1777, 528]$
1.6.L.8.3c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{4,1},D_{2,1})$	$8$	$1/2$	$2$	$27$	$620$	$16835$	$489132$	$489132$	$2$	$9$	$65$	$660$	$7742$	$96666$	$11$	$1809$	$483620$		✓	$[1, 2, 6, 5, 10, 52, 58, 86, 142, 63, 35, 308, 372, 866, 1712, 851, 870, 2074, 1763, 504]$
1.6.L.8.3f	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_4,C_4)$	$8$	$1/2$	$3$	$45$	$930$	$22435$	$595098$	$595098$	$2$	$12$	$95$	$933$	$10192$	$118926$	$16$	$2466$	$569440$		✓	$[1, 3, 9, 7, 15, 76, 78, 107, 173, 72, 46, 375, 432, 975, 1884, 911, 925, 2184, 1834, 517]$
1.6.L.8.3i	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{4,2},C_4)$	$8$	$1/2$	$3$	$45$	$930$	$22435$	$595098$	$595098$	$3$	$15$	$105$	$964$	$10288$	$119220$	$16$	$2466$	$569440$		✓	$[1, 3, 10, 7, 18, 76, 79, 121, 173, 77, 46, 378, 432, 975, 1884, 911, 959, 2184, 1847, 517]$
1.6.L.8.5a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_2),D_2)$	$8$	$1/2$	$2$	$27$	$620$	$16835$	$489132$	$489132$	$2$	$10$	$68$	$670$	$7772$	$96757$	$10$	$1794$	$483400$		✓	$[1, 2, 7, 6, 13, 52, 62, 98, 144, 75, 36, 310, 382, 866, 1712, 862, 896, 2094, 1786, 528]$
1.6.L.8.5b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_2),J(C_2))$	$8$	$1/2$	$2$	$27$	$620$	$16835$	$489132$	$489132$	$2$	$10$	$68$	$670$	$7772$	$96757$	$11$	$1809$	$483620$		✓	$[1, 2, 7, 7, 13, 52, 63, 99, 148, 83, 37, 310, 394, 868, 1712, 879, 899, 2136, 1808, 584]$
1.6.L.8.5c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_2),D_{2,1})$	$8$	$1/2$	$2$	$27$	$620$	$16835$	$489132$	$489132$	$2$	$10$	$68$	$670$	$7772$	$96757$	$11$	$1809$	$483620$		✓	$[1, 2, 7, 5, 11, 52, 59, 91, 142, 67, 35, 310, 372, 866, 1712, 851, 881, 2074, 1772, 504]$
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.12.4k	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_6,C_6)$	$12$	$1/2$	$3$	$45$	$930$	$22365$	$586278$	$586278$	$2$	$12$	$95$	$932$	$10137$	$117136$	$16$	$2460$	$554580$		✓	$[1, 3, 9, 7, 15, 76, 78, 106, 171, 69, 46, 372, 426, 943, 1800, 843, 855, 1980, 1613, 435]$
1.6.L.12.4o	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{6,2},C_6)$	$12$	$1/2$	$3$	$45$	$930$	$22365$	$586278$	$586278$	$3$	$15$	$105$	$963$	$10233$	$117430$	$16$	$2460$	$554580$		✓	$[1, 3, 10, 7, 18, 76, 79, 120, 171, 74, 46, 375, 426, 943, 1800, 843, 889, 1980, 1626, 435]$
1.6.L.12.5e	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(C_6),C_6)$	$12$	$1/2$	$3$	$45$	$930$	$22365$	$586278$	$586278$	$2$	$12$	$95$	$932$	$10137$	$117137$	$16$	$2460$	$554580$		✓	$[1, 3, 9, 7, 15, 76, 78, 106, 171, 69, 46, 372, 426, 943, 1800, 843, 856, 1980, 1614, 435]$
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.24.12a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(O_1,T)$	$24$	$1/2$	$2$	$21$	$340$	$7245$	$184212$	$184212$	$2$	$8$	$45$	$349$	$3372$	$37405$	$8$	$828$	$176660$		✓	$[1, 2, 5, 4, 9, 26, 28, 43, 56, 30, 18, 117, 138, 300, 588, 298, 316, 708, 609, 182]$
1.6.L.24.13a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(T),T)$	$24$	$1/2$	$2$	$21$	$340$	$7245$	$184212$	$184212$	$2$	$8$	$44$	$344$	$3352$	$37335$	$8$	$828$	$176660$		✓	$[1, 2, 5, 4, 9, 26, 28, 40, 56, 29, 18, 116, 138, 300, 588, 298, 306, 708, 606, 182]$
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.48.48d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(O),O)$	$48$	$1/2$	$2$	$21$	$330$	$6440$	$145152$	$145152$	$2$	$8$	$44$	$329$	$2962$	$29980$	$8$	$759$	$131450$		✓	$[1, 2, 5, 4, 9, 25, 26, 37, 45, 25, 16, 94, 105, 207, 380, 187, 195, 420, 350, 112]$