Sato-Tate group search results

Results (4 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.K.12.4a	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times J(D_3)$	$12$	$0$	$2$	$17$	$280$	$5999$	$145593$	$145593$	$2$	$8$	$41$	$303$	$2812$	$29636$	$8$	$696$	$131965$		✓	$[1, 2, 5, 4, 7, 22, 23, 36, 46, 23, 16, 97, 108, 222, 400, 186, 205, 429, 336, 99]$
1.6.K.12.4b	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times D_{6,1}$	$12$	$0$	$2$	$17$	$280$	$5999$	$145593$	$145593$	$2$	$8$	$42$	$307$	$2827$	$29686$	$8$	$696$	$131965$		✓	$[1, 2, 5, 4, 7, 22, 23, 36, 44, 21, 16, 97, 106, 222, 400, 184, 205, 419, 330, 89]$
1.6.K.12.4c	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times D_6$	$12$	$0$	$3$	$32$	$535$	$10864$	$246204$	$246204$	$2$	$10$	$65$	$536$	$5037$	$51346$	$13$	$1306$	$223415$		✓	$[1, 3, 7, 6, 10, 42, 41, 52, 77, 31, 24, 158, 172, 346, 620, 274, 276, 600, 456, 122]$
1.6.K.12.4d	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times D_{6,2}$	$12$	$0$	$3$	$32$	$535$	$10864$	$246204$	$246204$	$3$	$13$	$75$	$567$	$5133$	$51640$	$14$	$1316$	$223525$		✓	$[1, 3, 8, 5, 11, 42, 40, 58, 75, 30, 25, 161, 169, 347, 620, 271, 292, 592, 457, 114]$