Sato-Tate group search results

Results (3 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.L.24.13a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(T),T)$	$24$	$1/2$	$2$	$21$	$340$	$7245$	$184212$	$184212$	$2$	$8$	$44$	$344$	$3352$	$37335$	$8$	$828$	$176660$		✓	$[1, 2, 5, 4, 9, 26, 28, 40, 56, 29, 18, 116, 138, 300, 588, 298, 306, 708, 606, 182]$
1.6.L.24.13b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(J(T))$	$24$	$0$	$3$	$24$	$350$	$7280$	$184338$	$184338$	$2$	$8$	$44$	$344$	$3352$	$37335$	$10$	$846$	$176880$		✓	$[1, 3, 5, 5, 8, 26, 29, 38, 59, 33, 20, 116, 146, 303, 588, 309, 303, 730, 615, 211]$
1.6.L.24.13c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(T)$	$24$	$1/8$	$3$	$27$	$400$	$8015$	$195048$	$195048$	$2$	$9$	$52$	$393$	$3642$	$39075$	$12$	$924$	$180500$		✓	$[1, 3, 6, 5, 8, 30, 29, 38, 57, 28, 22, 125, 142, 305, 588, 303, 302, 712, 613, 187]$

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