Sato-Tate group search results

Results (23 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
1.6.H.4.2b	$1$	$6$	$3$	$\mathrm{U}(1)^3$	$H_{a,bc}$	$4$	$1/4$	$3$	$33$	$570$	$12425$	$309078$	$309078$	$3$	$13$	$75$	$585$	$5643$	$61609$	$14$	$1398$	$284000$		✓	$[1, 3, 8, 5, 12, 44, 43, 66, 87, 40, 28, 201, 218, 479, 900, 429, 454, 994, 829, 223]$
1.6.L.8.2a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(C_4),C_{4,1})$	$8$	$1/4$	$3$	$33$	$660$	$17115$	$491148$	$491148$	$2$	$10$	$71$	$694$	$7917$	$97537$	$13$	$1881$	$485860$		✓	$[1, 3, 7, 6, 11, 54, 61, 87, 143, 65, 35, 308, 372, 867, 1712, 852, 873, 2074, 1770, 505]$
1.6.L.8.2b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(C_4),J(C_2))$	$8$	$1/4$	$3$	$33$	$660$	$17115$	$491148$	$491148$	$2$	$10$	$71$	$694$	$7917$	$97537$	$15$	$1905$	$486180$		✓	$[1, 3, 7, 8, 11, 54, 63, 89, 149, 79, 37, 308, 394, 871, 1712, 882, 877, 2136, 1800, 587]$
1.6.L.8.3e	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_4,D_2)$	$8$	$1/4$	$3$	$33$	$660$	$17115$	$491148$	$491148$	$2$	$10$	$71$	$693$	$7912$	$97516$	$14$	$1890$	$485960$		✓	$[1, 3, 7, 7, 11, 54, 62, 87, 145, 70, 36, 307, 382, 869, 1712, 865, 869, 2094, 1774, 531]$
1.6.L.8.3h	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{4,2},D_{2,1})$	$8$	$1/4$	$3$	$33$	$660$	$17115$	$491148$	$491148$	$3$	$13$	$81$	$724$	$8008$	$97810$	$15$	$1905$	$486180$		✓	$[1, 3, 8, 6, 12, 54, 60, 94, 143, 67, 35, 310, 372, 869, 1712, 854, 888, 2074, 1773, 507]$
1.6.L.12.4i	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_6,D_3)$	$12$	$1/3$	$3$	$33$	$570$	$12985$	$346878$	$346878$	$2$	$10$	$65$	$566$	$5917$	$69106$	$13$	$1455$	$335790$		✓	$[1, 3, 7, 6, 11, 44, 47, 63, 101, 49, 29, 216, 262, 585, 1150, 582, 586, 1403, 1192, 357]$
1.6.L.12.4j	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_3)$	$12$	$1/4$	$3$	$33$	$590$	$13545$	$358218$	$358218$	$2$	$10$	$66$	$578$	$6032$	$70096$	$13$	$1455$	$337070$		✓	$[1, 3, 7, 6, 11, 46, 47, 65, 101, 49, 33, 228, 266, 591, 1150, 588, 588, 1407, 1208, 363]$
1.6.L.12.4m	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{6,2},D_{3,2})$	$12$	$1/3$	$3$	$33$	$570$	$12985$	$346878$	$346878$	$3$	$13$	$75$	$597$	$6013$	$69400$	$14$	$1470$	$336010$		✓	$[1, 3, 8, 5, 12, 44, 45, 70, 99, 46, 28, 219, 252, 585, 1150, 571, 605, 1383, 1191, 333]$
1.6.L.12.4n	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_{3,2})$	$12$	$1/4$	$3$	$33$	$590$	$13545$	$358218$	$358218$	$3$	$13$	$76$	$609$	$6128$	$70390$	$14$	$1470$	$337290$		✓	$[1, 3, 8, 5, 12, 46, 45, 72, 99, 46, 32, 231, 256, 591, 1150, 577, 607, 1387, 1207, 339]$
1.6.L.12.5a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(C_6),J(C_3))$	$12$	$1/3$	$3$	$33$	$570$	$12985$	$346878$	$346878$	$2$	$10$	$65$	$566$	$5917$	$69107$	$13$	$1455$	$335800$		✓	$[1, 3, 7, 6, 11, 44, 47, 65, 103, 53, 29, 216, 266, 585, 1150, 588, 593, 1424, 1206, 385]$
1.6.L.12.5b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(C_6),C_{6,1})$	$12$	$1/3$	$3$	$33$	$570$	$12985$	$346878$	$346878$	$2$	$10$	$65$	$566$	$5917$	$69107$	$13$	$1455$	$335800$		✓	$[1, 3, 7, 6, 11, 44, 47, 61, 99, 45, 29, 216, 258, 585, 1150, 576, 581, 1384, 1182, 333]$
1.6.L.12.5c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(J(C_3))$	$12$	$1/4$	$3$	$33$	$590$	$13545$	$358218$	$358218$	$2$	$10$	$65$	$574$	$6017$	$70047$	$13$	$1455$	$337080$		✓	$[1, 3, 7, 6, 11, 46, 47, 65, 103, 53, 33, 228, 270, 591, 1150, 594, 589, 1428, 1222, 391]$
1.6.L.12.5d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(C_{6,1})$	$12$	$1/4$	$3$	$33$	$590$	$13545$	$358218$	$358218$	$2$	$10$	$67$	$582$	$6047$	$70147$	$13$	$1455$	$337080$		✓	$[1, 3, 7, 6, 11, 46, 47, 65, 99, 45, 33, 228, 262, 591, 1150, 582, 589, 1388, 1198, 339]$
1.6.L.16.10a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(J(C_4))$	$16$	$5/16$	$3$	$33$	$570$	$12495$	$314748$	$314748$	$2$	$10$	$65$	$556$	$5587$	$62317$	$13$	$1389$	$291280$		✓	$[1, 3, 7, 6, 11, 44, 45, 61, 91, 47, 29, 202, 232, 497, 942, 478, 477, 1128, 958, 307]$
1.6.L.16.11h	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_4)$	$16$	$5/16$	$3$	$33$	$570$	$12495$	$314748$	$314748$	$2$	$10$	$65$	$555$	$5582$	$62296$	$13$	$1386$	$291220$		✓	$[1, 3, 7, 6, 11, 44, 45, 60, 90, 45, 29, 201, 231, 497, 942, 476, 471, 1117, 947, 292]$
1.6.L.16.11i	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_{4,2})$	$16$	$5/16$	$3$	$33$	$570$	$12495$	$314748$	$314748$	$3$	$13$	$75$	$586$	$5678$	$62590$	$14$	$1401$	$291440$		✓	$[1, 3, 8, 5, 12, 44, 43, 67, 88, 42, 28, 204, 221, 497, 942, 465, 490, 1097, 946, 268]$
1.6.L.24.14i	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_6)$	$24$	$7/24$	$3$	$33$	$570$	$12425$	$309078$	$309078$	$2$	$10$	$65$	$554$	$5547$	$61316$	$13$	$1383$	$283790$		✓	$[1, 3, 7, 6, 11, 44, 45, 59, 89, 43, 29, 198, 228, 479, 900, 440, 436, 1015, 832, 249]$
1.6.L.24.14j	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_{6,2})$	$24$	$7/24$	$3$	$33$	$570$	$12425$	$309078$	$309078$	$3$	$13$	$75$	$585$	$5643$	$61610$	$14$	$1398$	$284010$		✓	$[1, 3, 8, 5, 12, 44, 43, 66, 87, 40, 28, 201, 218, 479, 900, 429, 455, 995, 831, 225]$
1.6.L.24.15a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(J(C_6))$	$24$	$7/24$	$3$	$33$	$570$	$12425$	$309078$	$309078$	$2$	$10$	$65$	$554$	$5547$	$61317$	$13$	$1383$	$283800$		✓	$[1, 3, 7, 6, 11, 44, 45, 59, 89, 43, 29, 198, 228, 479, 900, 440, 437, 1016, 834, 251]$
1.6.N.16.7a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(B(1,4)_2)$	$16$	$1/2$	$2$	$33$	$920$	$28735$	$930132$	$930132$	$2$	$10$	$86$	$1016$	$13342$	$181993$	$12$	$2966$	$966180$		✓	$[1, 2, 7, 8, 15, 80, 100, 158, 268, 137, 58, 568, 746, 1792, 3696, 1966, 2004, 4970, 4406, 1382]$
1.6.N.16.8a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(B(1,4;2)_2)$	$16$	$1/2$	$2$	$33$	$920$	$28735$	$930132$	$930132$	$2$	$10$	$86$	$1016$	$13342$	$181993$	$12$	$2966$	$966180$		✓	$[1, 2, 7, 6, 13, 80, 94, 152, 264, 119, 54, 568, 718, 1788, 3696, 1928, 1994, 4910, 4376, 1296]$
1.6.N.16.11a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(1,4)_2)$	$16$	$1/2$	$2$	$33$	$920$	$28735$	$930132$	$930132$	$2$	$11$	$89$	$1026$	$13372$	$182084$	$12$	$2966$	$966180$		✓	$[1, 2, 8, 8, 16, 80, 101, 163, 268, 141, 58, 570, 746, 1792, 3696, 1966, 2015, 4970, 4415, 1382]$
1.6.N.16.13a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(1,4;2)_2)$	$16$	$1/2$	$2$	$33$	$920$	$28735$	$930132$	$930132$	$2$	$11$	$89$	$1026$	$13372$	$182084$	$12$	$2966$	$966180$		✓	$[1, 2, 8, 6, 14, 80, 95, 157, 264, 123, 54, 570, 718, 1788, 3696, 1928, 2005, 4910, 4385, 1296]$

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