Sato-Tate group search results

Results (10 matches)

  Download displayed columns for results to

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.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	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_{6,2})$	$24$	$7/24$	$3$	$33$	$570$	$12425$	$309078$	$309078$	$3$	$13$	$75$	$585$	$5643$	$61610$	$14$	$1398$	$284010$		✓	$[1, 3, 8, 5, 12, 44, 43, 66, 87, 40, 28, 201, 218, 479, 900, 429, 455, 995, 831, 225]$

  Download displayed columns for results to