Sato-Tate group search results

Results (9 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
1.4.F.48.48a	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$J(O)$	$48$	$11/16$	$1$	$6$	$50$	$525$	$6426$	$6426$	$1$	$3$	$7$	$26$	$96$	$432$				✓	✓	$[1, 1, 2, 3, 3, 5, 3, 9, 9, 11]$
1.6.K.48.48a	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times J(O)$	$48$	$0$	$2$	$14$	$175$	$2919$	$58023$	$58023$	$2$	$7$	$32$	$197$	$1502$	$13270$	$7$	$412$	$53240$	✓	✓	$[1, 2, 4, 3, 5, 13, 13, 19, 21, 11, 8, 38, 40, 77, 130, 60, 71, 131, 101, 32]$
1.6.L.48.48a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(O),J(T))$	$48$	$3/8$	$2$	$15$	$195$	$3780$	$93177$	$93177$	$2$	$7$	$32$	$209$	$1822$	$19275$	$7$	$471$	$89720$		✓	$[1, 2, 4, 3, 6, 14, 16, 25, 30, 20, 10, 60, 73, 153, 294, 156, 164, 365, 315, 107]$
1.6.L.48.48b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(O),O_1)$	$48$	$3/8$	$2$	$15$	$195$	$3780$	$93177$	$93177$	$2$	$7$	$32$	$209$	$1822$	$19275$	$7$	$474$	$89770$		✓	$[1, 2, 4, 3, 6, 14, 16, 23, 29, 17, 10, 60, 70, 153, 294, 152, 159, 355, 309, 94]$
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.48.48d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(O),O)$	$48$	$1/2$	$2$	$21$	$330$	$6440$	$145152$	$145152$	$2$	$8$	$44$	$329$	$2962$	$29980$	$8$	$759$	$131450$		✓	$[1, 2, 5, 4, 9, 25, 26, 37, 45, 25, 16, 94, 105, 207, 380, 187, 195, 420, 350, 112]$
1.6.L.48.48e	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(J(O))$	$48$	$0$	$3$	$24$	$340$	$6475$	$145278$	$145278$	$2$	$8$	$44$	$329$	$2962$	$29980$	$10$	$780$	$131720$		✓	$[1, 3, 5, 5, 8, 25, 27, 33, 47, 26, 18, 94, 110, 210, 380, 194, 187, 432, 353, 128]$
1.6.L.48.48f	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(O)$	$48$	$3/16$	$3$	$27$	$380$	$6965$	$151578$	$151578$	$2$	$9$	$51$	$370$	$3192$	$31275$	$12$	$855$	$134650$		✓	$[1, 3, 6, 5, 8, 28, 27, 33, 46, 24, 18, 98, 107, 211, 380, 191, 185, 422, 352, 116]$
1.6.N.48.48a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(D(2,2))$	$48$	$2/3$	$1$	$12$	$310$	$9590$	$310086$	$310086$	$1$	$5$	$33$	$352$	$4486$	$60779$	$5$	$997$	$322160$		✓	$[1, 1, 4, 4, 7, 27, 37, 60, 91, 57, 21, 192, 258, 600, 1233, 669, 684, 1677, 1489, 492]$

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