Sato-Tate group search results

Results (8 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
1.6.K.2.1b	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times C_2$	$2$	$0$	$5$	$74$	$1485$	$34174$	$853986$	$853986$	$3$	$19$	$153$	$1459$	$15273$	$169613$	$26$	$3724$	$772020$		✓	$[1, 5, 14, 11, 23, 120, 116, 156, 245, 90, 75, 551, 599, 1303, 2384, 1067, 1109, 2465, 1920, 493]$
1.6.K.3.1a	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times C_3$	$3$	$0$	$5$	$62$	$1105$	$23954$	$582246$	$582246$	$3$	$17$	$125$	$1101$	$10933$	$117631$	$24$	$2728$	$527330$		✓	$[1, 5, 12, 9, 17, 88, 82, 108, 169, 60, 53, 373, 401, 877, 1600, 713, 747, 1647, 1280, 327]$
1.6.K.4.1b	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times C_4$	$4$	$0$	$5$	$62$	$1065$	$21854$	$503706$	$503706$	$3$	$17$	$123$	$1055$	$10093$	$104331$	$24$	$2604$	$457280$		✓	$[1, 5, 12, 9, 17, 84, 78, 98, 151, 54, 45, 319, 339, 725, 1304, 575, 595, 1305, 1006, 257]$
1.6.K.4.2c	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times D_{2,1}$	$4$	$0$	$3$	$38$	$745$	$17094$	$427014$	$427014$	$3$	$14$	$90$	$770$	$7758$	$85171$	$15$	$1878$	$386170$		✓	$[1, 3, 9, 6, 14, 60, 59, 88, 123, 49, 40, 280, 302, 654, 1192, 536, 577, 1235, 969, 249]$
1.6.K.6.1b	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times D_{3,2}$	$6$	$0$	$3$	$32$	$555$	$11984$	$291144$	$291144$	$3$	$13$	$76$	$591$	$5588$	$59180$	$14$	$1380$	$263825$		✓	$[1, 3, 8, 5, 11, 44, 42, 64, 85, 34, 29, 191, 203, 441, 800, 359, 396, 826, 649, 166]$
1.6.K.6.2c	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times C_6$	$6$	$0$	$5$	$62$	$1065$	$21714$	$492366$	$492366$	$3$	$17$	$123$	$1053$	$10023$	$102551$	$24$	$2600$	$446730$		✓	$[1, 5, 12, 9, 17, 84, 78, 96, 149, 52, 45, 313, 333, 689, 1240, 537, 539, 1179, 896, 223]$
1.6.K.8.3c	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times D_{4,2}$	$8$	$0$	$3$	$32$	$535$	$10934$	$251874$	$251874$	$3$	$13$	$75$	$568$	$5168$	$52530$	$14$	$1318$	$228800$		✓	$[1, 3, 8, 5, 11, 42, 40, 59, 76, 31, 25, 164, 172, 365, 652, 290, 320, 655, 512, 131]$
1.6.K.12.4d	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times D_{6,2}$	$12$	$0$	$3$	$32$	$535$	$10864$	$246204$	$246204$	$3$	$13$	$75$	$567$	$5133$	$51640$	$14$	$1316$	$223525$		✓	$[1, 3, 8, 5, 11, 42, 40, 58, 75, 30, 25, 161, 169, 347, 620, 271, 292, 592, 457, 114]$

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