Sato-Tate group search results

Results (9 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.16.11c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_{4,1})$	$16$	$7/16$	$2$	$21$	$395$	$9555$	$260757$	$260757$	$2$	$8$	$47$	$402$	$4272$	$50741$	$8$	$1005$	$246980$		✓	$[1, 2, 5, 4, 9, 31, 34, 52, 73, 38, 23, 168, 196, 440, 856, 438, 451, 1052, 909, 271]$
1.6.L.16.11d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_4),D_4)$	$16$	$1/2$	$2$	$24$	$470$	$11235$	$297612$	$297612$	$2$	$9$	$56$	$492$	$5172$	$59691$	$9$	$1242$	$284820$		✓	$[1, 2, 6, 5, 11, 38, 43, 66, 89, 48, 25, 191, 227, 490, 942, 469, 490, 1113, 940, 285]$
1.6.L.16.11e	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_4),J(C_4))$	$16$	$1/2$	$2$	$24$	$470$	$11235$	$297612$	$297612$	$2$	$9$	$56$	$492$	$5172$	$59691$	$9$	$1245$	$284880$		✓	$[1, 2, 6, 5, 11, 38, 43, 66, 90, 49, 25, 191, 228, 490, 942, 471, 491, 1124, 947, 300]$
1.6.L.16.11f	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_4),D_{4,2})$	$16$	$1/2$	$2$	$24$	$470$	$11235$	$297612$	$297612$	$2$	$9$	$56$	$492$	$5172$	$59691$	$10$	$1257$	$285040$		✓	$[1, 2, 6, 4, 9, 38, 40, 59, 87, 40, 24, 191, 217, 490, 942, 458, 475, 1093, 926, 261]$
1.6.L.16.11g	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(J(D_4))$	$16$	$0$	$3$	$27$	$480$	$11270$	$297738$	$297738$	$2$	$9$	$56$	$492$	$5172$	$59691$	$12$	$1278$	$285300$		✓	$[1, 3, 6, 7, 10, 38, 45, 61, 93, 53, 28, 191, 240, 495, 942, 487, 479, 1146, 952, 329]$
1.6.L.16.11h	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_4)$	$16$	$5/16$	$3$	$33$	$570$	$12495$	$314748$	$314748$	$2$	$10$	$65$	$555$	$5582$	$62296$	$13$	$1386$	$291220$		✓	$[1, 3, 7, 6, 11, 44, 45, 60, 90, 45, 29, 201, 231, 497, 942, 476, 471, 1117, 947, 292]$
1.6.L.16.11i	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_{4,2})$	$16$	$5/16$	$3$	$33$	$570$	$12495$	$314748$	$314748$	$3$	$13$	$75$	$586$	$5678$	$62590$	$14$	$1401$	$291440$		✓	$[1, 3, 8, 5, 12, 44, 43, 67, 88, 42, 28, 204, 221, 497, 942, 465, 490, 1097, 946, 268]$