Sato-Tate group search results

Results (14 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.16.11a	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$J(D_4)$	$16$	$13/16$	$1$	$9$	$100$	$1260$	$17136$	$17136$	$1$	$4$	$10$	$45$	$191$	$973$					✓	$[1, 1, 3, 5, 6, 10, 7, 23, 24, 25]$
1.6.J.16.11a	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_2(J(E_4))$	$16$	$5/16$	$2$	$15$	$195$	$3479$	$74193$	$74193$	$2$	$7$	$32$	$203$	$1647$	$15685$	$7$	$438$	$66580$	✓	✓	$[1, 2, 4, 3, 6, 14, 15, 22, 24, 16, 10, 50, 55, 105, 184, 96, 97, 199, 165, 57]$
1.6.K.16.11a	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times J(D_4)$	$16$	$0$	$2$	$17$	$270$	$5474$	$125958$	$125958$	$2$	$8$	$41$	$294$	$2612$	$26346$	$8$	$666$	$114465$		✓	$[1, 2, 5, 4, 7, 21, 22, 34, 41, 21, 14, 84, 92, 184, 326, 151, 169, 341, 267, 79]$
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	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_{4,2})$	$16$	$5/16$	$3$	$33$	$570$	$12495$	$314748$	$314748$	$3$	$13$	$75$	$586$	$5678$	$62590$	$14$	$1401$	$291440$		✓	$[1, 3, 8, 5, 12, 44, 43, 67, 88, 42, 28, 204, 221, 497, 942, 465, 490, 1097, 946, 268]$
1.6.N.16.11a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(1,4)_2)$	$16$	$1/2$	$2$	$33$	$920$	$28735$	$930132$	$930132$	$2$	$11$	$89$	$1026$	$13372$	$182084$	$12$	$2966$	$966180$		✓	$[1, 2, 8, 8, 16, 80, 101, 163, 268, 141, 58, 570, 746, 1792, 3696, 1966, 2015, 4970, 4415, 1382]$
1.6.N.16.11b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(2,4))$	$16$	$1/2$	$3$	$51$	$1230$	$34195$	$1028538$	$1028538$	$3$	$16$	$126$	$1318$	$15818$	$203173$	$18$	$3622$	$1043490$		✓	$[1, 3, 11, 9, 21, 104, 117, 185, 295, 140, 68, 634, 784, 1885, 3832, 1995, 2066, 5024, 4456, 1351]$

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