Sato-Tate group search results

Results (22 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
1.4.D.4.2a	$1$	$4$	$2$	$\mathrm{U}(1)\times\mathrm{U}(1)$	$F_{a,b}$	$4$	$1/4$	$2$	$12$	$110$	$1260$	$16002$	$16002$	$2$	$5$	$14$	$49$	$202$	$944$				✓	✓	$[1, 2, 2, 5, 6, 6, 8, 19, 22, 12]$
1.4.E.4.1a	$1$	$4$	$3$	$\mathrm{SU}(2)_{2}$	$E_4$	$4$	$1/4$	$2$	$12$	$100$	$1008$	$11424$	$11424$	$1$	$4$	$11$	$46$	$182$	$824$					✓	$[1, 2, 3, 4, 6, 8, 6, 15, 16, 16]$
1.4.F.4.1b	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$C_4$	$4$	$1/4$	$4$	$36$	$400$	$5040$	$68544$	$68544$	$2$	$8$	$32$	$150$	$732$	$3776$					✓	$[1, 4, 5, 12, 24, 18, 28, 79, 96, 54]$
1.4.F.12.3a	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$T$	$12$	$1/4$	$2$	$12$	$120$	$1540$	$21672$	$21672$	$1$	$4$	$12$	$52$	$236$	$1202$					✓	$[1, 2, 3, 4, 8, 8, 10, 27, 32, 22]$
1.6.F.4.2a	$1$	$6$	$7$	$\mathrm{U}(1)\times\mathrm{SU}(2)^2$	$F_{a,t}$	$4$	$1/4$	$2$	$14$	$165$	$2639$	$50253$	$50253$	$2$	$7$	$32$	$191$	$1402$	$11905$	$7$	$389$	$46510$	✓	✓	$[1, 2, 4, 3, 5, 12, 13, 17, 18, 10, 8, 33, 38, 64, 105, 51, 54, 97, 71, 24]$
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.J.4.2d	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_2(E_2)$	$4$	$1/4$	$3$	$31$	$500$	$10227$	$239820$	$239820$	$2$	$11$	$69$	$547$	$5068$	$52285$	$14$	$1306$	$233480$		✓	$[1, 3, 8, 7, 10, 40, 43, 58, 81, 44, 24, 153, 188, 371, 688, 345, 340, 764, 609, 203]$
1.6.J.4.2e	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_2(J(E_1))$	$4$	$1/4$	$3$	$31$	$500$	$10227$	$239820$	$239820$	$3$	$13$	$75$	$563$	$5113$	$52411$	$14$	$1306$	$233480$		✓	$[1, 3, 8, 5, 10, 40, 39, 58, 77, 32, 22, 153, 170, 369, 688, 323, 340, 726, 589, 155]$
1.6.J.8.3a	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J(J(E_4),J(E_2))$	$8$	$1/4$	$2$	$15$	$225$	$4739$	$114933$	$114933$	$2$	$7$	$35$	$257$	$2392$	$25195$	$8$	$630$	$114920$		✓	$[1, 2, 4, 4, 6, 18, 22, 31, 41, 25, 11, 74, 94, 187, 344, 175, 171, 382, 304, 104]$
1.6.J.12.4b	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_2(J(E_3))$	$12$	$1/4$	$2$	$15$	$200$	$3717$	$83223$	$83223$	$2$	$7$	$33$	$216$	$1822$	$18040$	$7$	$471$	$79070$		✓	$[1, 2, 4, 3, 6, 15, 16, 24, 28, 15, 11, 55, 62, 126, 233, 114, 121, 246, 204, 57]$
1.6.L.4.2g	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(J(C_1))$	$4$	$1/4$	$5$	$75$	$1550$	$38115$	$1042650$	$1042650$	$2$	$18$	$149$	$1498$	$16767$	$202023$	$27$	$3969$	$987300$		✓	$[1, 5, 15, 14, 25, 124, 129, 181, 295, 151, 87, 662, 792, 1753, 3424, 1764, 1751, 4266, 3648, 1161]$
1.6.L.4.2k	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(C_2)$	$4$	$1/4$	$5$	$75$	$1550$	$38115$	$1042650$	$1042650$	$3$	$19$	$153$	$1507$	$16793$	$202093$	$26$	$3954$	$987080$		✓	$[1, 5, 14, 11, 24, 124, 123, 174, 285, 122, 84, 659, 758, 1749, 3424, 1719, 1732, 4162, 3577, 1025]$
1.6.L.4.2l	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(C_{2,1})$	$4$	$1/4$	$5$	$75$	$1550$	$38115$	$1042650$	$1042650$	$4$	$22$	$163$	$1538$	$16889$	$202387$	$27$	$3969$	$987300$		✓	$[1, 5, 15, 10, 25, 124, 121, 181, 283, 119, 83, 662, 748, 1749, 3424, 1708, 1751, 4142, 3576, 1001]$
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.12.4j	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_3)$	$12$	$1/4$	$3$	$33$	$590$	$13545$	$358218$	$358218$	$2$	$10$	$66$	$578$	$6032$	$70096$	$13$	$1455$	$337070$		✓	$[1, 3, 7, 6, 11, 46, 47, 65, 101, 49, 33, 228, 266, 591, 1150, 588, 588, 1407, 1208, 363]$
1.6.L.12.4n	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_{3,2})$	$12$	$1/4$	$3$	$33$	$590$	$13545$	$358218$	$358218$	$3$	$13$	$76$	$609$	$6128$	$70390$	$14$	$1470$	$337290$		✓	$[1, 3, 8, 5, 12, 46, 45, 72, 99, 46, 32, 231, 256, 591, 1150, 577, 607, 1387, 1207, 339]$
1.6.L.12.5c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(J(C_3))$	$12$	$1/4$	$3$	$33$	$590$	$13545$	$358218$	$358218$	$2$	$10$	$65$	$574$	$6017$	$70047$	$13$	$1455$	$337080$		✓	$[1, 3, 7, 6, 11, 46, 47, 65, 103, 53, 33, 228, 270, 591, 1150, 594, 589, 1428, 1222, 391]$
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.24.12c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(O,T)$	$24$	$1/4$	$3$	$27$	$380$	$7525$	$186228$	$186228$	$2$	$9$	$51$	$382$	$3542$	$38255$	$12$	$924$	$179220$		✓	$[1, 3, 6, 5, 8, 28, 29, 37, 57, 29, 18, 116, 138, 303, 588, 301, 300, 708, 606, 185]$