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.F.24.14a	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$J(D_6)$	$24$	$19/24$	$1$	$9$	$100$	$1225$	$15876$	$15876$	$1$	$4$	$10$	$44$	$186$	$923$				✓	✓	$[1, 1, 3, 5, 6, 9, 7, 21, 20, 20]$
1.6.J.24.14a	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_2(J(E_6))$	$24$	$7/24$	$2$	$15$	$195$	$3465$	$73143$	$73143$	$2$	$7$	$32$	$202$	$1627$	$15305$	$7$	$435$	$63950$	✓	✓	$[1, 2, 4, 3, 6, 14, 15, 21, 23, 14, 10, 49, 54, 99, 170, 82, 86, 169, 134, 44]$
1.6.K.24.14a	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times J(D_6)$	$24$	$0$	$2$	$17$	$270$	$5439$	$123123$	$123123$	$2$	$8$	$41$	$293$	$2592$	$25891$	$8$	$664$	$111815$	✓	✓	$[1, 2, 5, 4, 7, 21, 22, 33, 40, 20, 14, 82, 90, 175, 310, 141, 153, 307, 237, 68]$
1.6.L.24.14a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_6),J(D_3))$	$24$	$5/12$	$2$	$18$	$290$	$6510$	$173502$	$173502$	$2$	$8$	$41$	$308$	$3032$	$34771$	$8$	$744$	$168110$		✓	$[1, 2, 5, 4, 8, 22, 26, 41, 53, 34, 16, 111, 139, 295, 575, 302, 314, 723, 617, 207]$
1.6.L.24.14b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_6),D_{6,1})$	$24$	$5/12$	$2$	$18$	$290$	$6510$	$173502$	$173502$	$2$	$8$	$41$	$308$	$3032$	$34771$	$8$	$744$	$168110$		✓	$[1, 2, 5, 4, 8, 22, 26, 39, 51, 30, 16, 111, 135, 295, 575, 296, 308, 703, 605, 181]$
1.6.L.24.14c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(J(D_3))$	$24$	$3/8$	$2$	$18$	$300$	$6790$	$179172$	$179172$	$2$	$8$	$41$	$312$	$3082$	$35241$	$8$	$744$	$168750$		✓	$[1, 2, 5, 4, 8, 23, 26, 41, 53, 34, 18, 117, 141, 298, 575, 305, 312, 725, 625, 210]$
1.6.L.24.14d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_{6,1})$	$24$	$3/8$	$2$	$18$	$300$	$6790$	$179172$	$179172$	$2$	$8$	$42$	$316$	$3097$	$35291$	$8$	$744$	$168750$		✓	$[1, 2, 5, 4, 8, 23, 26, 41, 51, 30, 18, 117, 137, 298, 575, 299, 312, 705, 613, 184]$
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.24.14h	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(J(D_6))$	$24$	$0$	$3$	$27$	$480$	$11235$	$293328$	$293328$	$2$	$9$	$56$	$491$	$5142$	$58786$	$12$	$1272$	$277820$		✓	$[1, 3, 6, 7, 10, 38, 45, 60, 91, 50, 28, 189, 236, 479, 900, 451, 441, 1034, 834, 275]$
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.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.24.14c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(2,6))$	$24$	$1/2$	$3$	$51$	$1230$	$33635$	$978138$	$978138$	$3$	$16$	$126$	$1310$	$15458$	$193293$	$18$	$3570$	$967300$		✓	$[1, 3, 11, 9, 21, 104, 116, 180, 283, 127, 68, 614, 742, 1727, 3426, 1701, 1768, 4174, 3572, 1035]$

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