Sato-Tate group search results

Results (15 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.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	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(J(O))$	$48$	$0$	$3$	$24$	$340$	$6475$	$145278$	$145278$	$2$	$8$	$44$	$329$	$2962$	$29980$	$10$	$780$	$131720$		✓	$[1, 3, 5, 5, 8, 25, 27, 33, 47, 26, 18, 94, 110, 210, 380, 194, 187, 432, 353, 128]$