Sato-Tate group search results

Results (4 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.N.18.3b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(A(3,3))$	$18$	$11/18$	$3$	$45$	$990$	$27405$	$847098$	$847098$	$2$	$12$	$99$	$1044$	$12717$	$166959$	$16$	$2892$	$871840$		✓	$[1, 3, 9, 7, 15, 82, 90, 138, 243, 105, 58, 516, 642, 1597, 3306, 1719, 1782, 4366, 3894, 1145]$
1.6.N.18.4b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(3,3))$	$18$	$11/18$	$3$	$45$	$990$	$27405$	$847098$	$847098$	$3$	$15$	$108$	$1071$	$12798$	$167202$	$16$	$2892$	$871840$		✓	$[1, 3, 10, 7, 18, 82, 91, 150, 243, 110, 58, 519, 642, 1597, 3306, 1719, 1809, 4366, 3906, 1145]$
1.6.N.72.39a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_n(E(36))$	$72$	$11/18$	$1$	$9$	$210$	$6405$	$206766$	$206766$	$1$	$3$	$20$	$227$	$2966$	$40442$	$4$	$672$	$214870$		✓	$[1, 1, 2, 3, 4, 18, 24, 35, 61, 35, 14, 127, 172, 401, 822, 447, 445, 1118, 986, 329]$
1.6.N.72.40a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(E(36))$	$72$	$11/18$	$1$	$9$	$210$	$6405$	$206766$	$206766$	$1$	$4$	$24$	$240$	$3006$	$40563$	$4$	$672$	$214870$		✓	$[1, 1, 3, 3, 5, 18, 25, 41, 61, 38, 14, 128, 172, 401, 822, 447, 458, 1118, 992, 329]$

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