Sato-Tate group search results

Results (13 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.J.1.1a	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_1(E_1)$	$1$	$0$	$6$	$86$	$1660$	$37254$	$916020$	$916020$	$4$	$25$	$197$	$1811$	$18370$	$199015$	$36$	$4676$	$913040$		✓	$[1, 6, 18, 14, 23, 140, 140, 186, 302, 110, 68, 571, 656, 1450, 2752, 1262, 1269, 2880, 2288, 590]$
1.6.J.2.1b	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_1(E_2)$	$2$	$0$	$4$	$46$	$840$	$18662$	$458136$	$458136$	$2$	$13$	$99$	$907$	$9188$	$99515$	$20$	$2356$	$456720$		✓	$[1, 4, 10, 12, 15, 70, 80, 102, 160, 82, 40, 287, 368, 732, 1376, 680, 649, 1520, 1188, 396]$
1.6.J.2.1d	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_1(J(E_1))$	$2$	$0$	$4$	$46$	$840$	$18662$	$458136$	$458136$	$3$	$15$	$105$	$923$	$9233$	$99641$	$20$	$2356$	$456720$		✓	$[1, 4, 10, 8, 13, 70, 72, 96, 152, 58, 36, 287, 332, 728, 1376, 636, 639, 1444, 1148, 300]$
1.6.J.2.1e	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_2(E_1)$	$2$	$0$	$5$	$59$	$990$	$20419$	$479514$	$479514$	$4$	$21$	$137$	$1091$	$10130$	$104555$	$26$	$2594$	$466760$		✓	$[1, 5, 14, 9, 16, 80, 75, 106, 153, 58, 42, 303, 336, 735, 1376, 641, 664, 1448, 1169, 305]$
1.6.J.3.1a	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_1(E_3)$	$3$	$0$	$4$	$42$	$670$	$13594$	$318276$	$318276$	$2$	$11$	$77$	$661$	$6438$	$68173$	$16$	$1656$	$308840$		✓	$[1, 4, 8, 8, 13, 52, 54, 66, 108, 44, 34, 201, 234, 490, 932, 438, 431, 970, 780, 210]$
1.6.J.4.1a	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J(E_4,E_2)$	$4$	$0$	$3$	$27$	$440$	$9443$	$229740$	$229740$	$2$	$9$	$57$	$479$	$4688$	$50123$	$14$	$1242$	$229640$		✓	$[1, 3, 6, 7, 8, 36, 41, 52, 81, 44, 20, 145, 184, 371, 688, 345, 326, 760, 599, 203]$
1.6.J.4.1b	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_1(E_4)$	$4$	$0$	$4$	$42$	$660$	$12838$	$285096$	$285096$	$2$	$11$	$75$	$623$	$5828$	$59313$	$16$	$1524$	$259520$		✓	$[1, 4, 8, 8, 13, 50, 50, 60, 92, 46, 32, 183, 208, 404, 736, 364, 339, 784, 622, 208]$
1.6.J.4.2c	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_1(J(E_2))$	$4$	$0$	$3$	$26$	$430$	$9366$	$229194$	$229194$	$2$	$9$	$56$	$471$	$4642$	$49891$	$12$	$1196$	$228560$		✓	$[1, 3, 6, 7, 9, 35, 42, 54, 81, 44, 22, 145, 188, 369, 688, 345, 329, 764, 598, 203]$
1.6.J.6.1b	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_1(J(E_3))$	$6$	$0$	$3$	$24$	$345$	$6832$	$159264$	$159264$	$2$	$8$	$45$	$348$	$3267$	$34220$	$10$	$846$	$154620$		✓	$[1, 3, 5, 5, 8, 26, 29, 36, 55, 25, 19, 102, 121, 248, 466, 224, 220, 489, 394, 110]$
1.6.J.6.2b	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_2(E_3)$	$6$	$0$	$3$	$27$	$390$	$7399$	$166320$	$166320$	$2$	$9$	$53$	$397$	$3548$	$35813$	$12$	$924$	$157940$		✓	$[1, 3, 6, 5, 8, 30, 29, 38, 55, 24, 20, 107, 120, 249, 466, 223, 226, 488, 399, 109]$
1.6.J.6.2c	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_1(E_6)$	$6$	$0$	$4$	$42$	$660$	$12810$	$281736$	$281736$	$2$	$11$	$75$	$621$	$5768$	$57953$	$16$	$1512$	$249000$		✓	$[1, 4, 8, 8, 13, 50, 50, 58, 88, 40, 32, 181, 204, 384, 680, 312, 299, 664, 504, 160]$
1.6.J.8.3c	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_1(J(E_4))$	$8$	$0$	$3$	$24$	$340$	$6454$	$142674$	$142674$	$2$	$8$	$44$	$329$	$2962$	$29790$	$10$	$780$	$129960$		✓	$[1, 3, 5, 5, 8, 25, 27, 33, 47, 26, 18, 93, 108, 205, 368, 187, 174, 396, 315, 109]$
1.6.J.12.4d	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_1(J(E_6))$	$12$	$0$	$3$	$24$	$340$	$6440$	$140994$	$140994$	$2$	$8$	$44$	$328$	$2932$	$29110$	$10$	$774$	$124700$		✓	$[1, 3, 5, 5, 8, 25, 27, 32, 45, 23, 18, 92, 106, 195, 340, 161, 154, 336, 256, 85]$