Sato-Tate group search results

Results (5 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.16.10a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(J(C_4))$	$16$	$5/16$	$3$	$33$	$570$	$12495$	$314748$	$314748$	$2$	$10$	$65$	$556$	$5587$	$62317$	$13$	$1389$	$291280$		✓	$[1, 3, 7, 6, 11, 44, 45, 61, 91, 47, 29, 202, 232, 497, 942, 478, 477, 1128, 958, 307]$
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.L.48.48c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(O_1)$	$48$	$5/16$	$2$	$15$	$205$	$4025$	$97587$	$97587$	$2$	$7$	$33$	$217$	$1882$	$19720$	$7$	$474$	$90410$		✓	$[1, 2, 4, 3, 6, 15, 16, 25, 29, 17, 12, 65, 72, 154, 294, 153, 165, 357, 314, 95]$
1.6.L.48.49a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(J(T))$	$48$	$5/16$	$2$	$15$	$205$	$4025$	$97587$	$97587$	$2$	$7$	$32$	$212$	$1862$	$19650$	$7$	$471$	$90360$		✓	$[1, 2, 4, 3, 6, 15, 16, 24, 30, 19, 12, 64, 75, 154, 294, 157, 160, 367, 317, 108]$

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