Sato-Tate group search results

Results (16 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
1.4.E.12.4a	$1$	$4$	$3$	$\mathrm{SU}(2)_{2}$	$J(E_6)$	$12$	$7/12$	$1$	$6$	$50$	$490$	$5292$	$5292$	$1$	$3$	$7$	$25$	$91$	$387$				✓	✓	$[1, 1, 2, 3, 3, 4, 3, 7, 6, 7]$
1.4.F.12.4c	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$D_6$	$12$	$7/12$	$2$	$18$	$200$	$2450$	$31752$	$31752$	$1$	$5$	$16$	$77$	$356$	$1803$					✓	$[1, 2, 4, 7, 12, 12, 14, 39, 40, 29]$
1.4.F.12.4d	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$D_{6,2}$	$12$	$7/12$	$2$	$18$	$200$	$2450$	$31752$	$31752$	$2$	$6$	$20$	$82$	$372$	$1825$					✓	$[1, 2, 3, 8, 12, 10, 14, 37, 40, 23]$
1.4.F.12.5a	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$J(C_6)$	$12$	$7/12$	$2$	$18$	$200$	$2450$	$31752$	$31752$	$1$	$5$	$16$	$77$	$356$	$1804$					✓	$[1, 2, 4, 7, 12, 12, 14, 39, 40, 30]$
1.6.N.24.5a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(B(3,2;2))$	$24$	$7/12$	$2$	$30$	$720$	$20650$	$641592$	$641592$	$2$	$10$	$74$	$780$	$9592$	$126328$	$11$	$2181$	$660790$		✓	$[1, 2, 7, 5, 12, 61, 69, 110, 182, 84, 39, 392, 488, 1203, 2481, 1292, 1339, 3279, 2930, 867]$
1.6.N.24.6a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(B(3,2))$	$24$	$7/12$	$2$	$30$	$720$	$20650$	$641592$	$641592$	$2$	$10$	$74$	$780$	$9592$	$126328$	$11$	$2181$	$660790$		✓	$[1, 2, 7, 7, 14, 61, 75, 116, 186, 102, 43, 392, 516, 1207, 2481, 1330, 1349, 3339, 2960, 953]$
1.6.N.24.6b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(3,4))$	$24$	$7/12$	$3$	$45$	$950$	$24465$	$708498$	$708498$	$3$	$15$	$106$	$1005$	$11348$	$140912$	$16$	$2644$	$713050$		✓	$[1, 3, 10, 7, 18, 78, 84, 133, 203, 93, 50, 437, 528, 1267, 2574, 1327, 1393, 3338, 2976, 877]$
1.6.N.24.8a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(3,2;2))$	$24$	$7/12$	$2$	$30$	$720$	$20650$	$641592$	$641592$	$2$	$10$	$75$	$784$	$9607$	$126378$	$11$	$2181$	$660790$		✓	$[1, 2, 7, 5, 12, 61, 69, 112, 182, 84, 39, 392, 488, 1203, 2481, 1292, 1345, 3279, 2930, 867]$
1.6.N.24.10a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(A(6,2))$	$24$	$7/12$	$3$	$45$	$930$	$23625$	$684558$	$684558$	$2$	$12$	$95$	$950$	$10887$	$136039$	$16$	$2580$	$694030$		✓	$[1, 3, 9, 7, 15, 76, 81, 115, 195, 90, 46, 414, 516, 1225, 2514, 1317, 1332, 3310, 2946, 899]$
1.6.N.24.10b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(A(3,4))$	$24$	$7/12$	$3$	$45$	$950$	$24465$	$708498$	$708498$	$2$	$12$	$97$	$978$	$11267$	$140669$	$16$	$2644$	$713050$		✓	$[1, 3, 9, 7, 15, 78, 83, 121, 203, 88, 50, 434, 528, 1267, 2574, 1327, 1366, 3338, 2964, 877]$
1.6.N.24.11a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_n(A(3,4))$	$24$	$7/12$	$3$	$45$	$950$	$24465$	$708498$	$708498$	$2$	$12$	$95$	$970$	$11237$	$140569$	$16$	$2644$	$713050$		✓	$[1, 3, 9, 7, 15, 78, 83, 117, 203, 88, 50, 434, 528, 1267, 2574, 1327, 1354, 3338, 2964, 877]$
1.6.N.24.14a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(3,2))$	$24$	$7/12$	$2$	$30$	$720$	$20650$	$641592$	$641592$	$2$	$10$	$75$	$784$	$9607$	$126378$	$11$	$2181$	$660790$		✓	$[1, 2, 7, 7, 14, 61, 75, 118, 186, 102, 43, 392, 516, 1207, 2481, 1330, 1355, 3339, 2960, 953]$
1.6.N.24.14b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(6,2))$	$24$	$7/12$	$3$	$45$	$930$	$23625$	$684558$	$684558$	$3$	$15$	$105$	$981$	$10983$	$136332$	$16$	$2580$	$694030$		✓	$[1, 3, 10, 7, 18, 76, 82, 129, 195, 95, 46, 417, 516, 1225, 2514, 1317, 1365, 3310, 2958, 899]$
1.6.N.96.193a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(O,1))$	$96$	$7/12$	$2$	$21$	$330$	$7000$	$184212$	$184212$	$2$	$8$	$44$	$337$	$3277$	$37376$	$8$	$815$	$183520$	✓	✓	$[1, 2, 5, 4, 9, 25, 28, 41, 55, 35, 16, 112, 145, 313, 637, 351, 353, 856, 761, 264]$
1.6.N.96.193b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(B(T,2))$	$96$	$7/12$	$2$	$21$	$340$	$7385$	$194292$	$194292$	$2$	$8$	$45$	$351$	$3452$	$39361$	$8$	$844$	$191450$		✓	$[1, 2, 5, 4, 9, 26, 29, 44, 58, 33, 18, 121, 150, 328, 658, 350, 366, 856, 765, 246]$
1.6.N.96.201a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(T,2))$	$96$	$7/12$	$2$	$21$	$340$	$7385$	$194292$	$194292$	$2$	$8$	$44$	$346$	$3432$	$39291$	$8$	$844$	$191450$		✓	$[1, 2, 5, 4, 9, 26, 29, 41, 58, 32, 18, 120, 150, 328, 658, 350, 356, 856, 762, 246]$

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