Sato-Tate group search results

Results (8 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.L.16.11a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_4),D_{4,1})$	$16$	$3/8$	$2$	$18$	$335$	$8575$	$245637$	$245637$	$2$	$8$	$44$	$372$	$4032$	$48986$	$8$	$957$	$243140$		✓	$[1, 2, 5, 4, 8, 27, 33, 52, 73, 40, 19, 157, 192, 436, 856, 434, 454, 1048, 899, 267]$
1.6.L.16.11b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_4),J(D_2))$	$16$	$3/8$	$2$	$18$	$335$	$8575$	$245637$	$245637$	$2$	$8$	$44$	$372$	$4032$	$48986$	$9$	$969$	$243300$		✓	$[1, 2, 5, 5, 8, 27, 34, 53, 76, 47, 20, 157, 203, 438, 856, 449, 456, 1079, 914, 308]$
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.32.46a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(J(D_4))$	$32$	$13/32$	$2$	$18$	$290$	$6265$	$157437$	$157437$	$2$	$8$	$41$	$303$	$2867$	$31376$	$8$	$711$	$145850$		✓	$[1, 2, 5, 4, 8, 22, 25, 39, 47, 31, 16, 104, 122, 251, 471, 247, 256, 575, 493, 168]$
1.6.L.48.51a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(J(D_6))$	$48$	$19/48$	$2$	$18$	$290$	$6230$	$154602$	$154602$	$2$	$8$	$41$	$302$	$2847$	$30876$	$8$	$708$	$142110$	✓	✓	$[1, 2, 5, 4, 8, 22, 25, 38, 46, 29, 16, 102, 120, 242, 450, 228, 236, 519, 431, 140]$