Sato-Tate group search results

Results (6 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.6.1a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(3,1)$	$6$	$1/3$	$4$	$84$	$2440$	$76580$	$2480184$	$2480184$	$2$	$18$	$206$	$2642$	$35382$	$484734$	$30$	$7882$	$2576100$		✓	$[1, 4, 15, 18, 30, 214, 255, 388, 708, 329, 150, 1506, 1952, 4770, 9858, 5188, 5276, 13174, 11680, 3570]$
1.6.N.6.2c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$A(3,2)$	$6$	$1/3$	$6$	$114$	$2860$	$82530$	$2566116$	$2566116$	$3$	$25$	$257$	$3009$	$38053$	$504399$	$40$	$8680$	$2642580$		✓	$[1, 6, 20, 18, 35, 244, 268, 398, 726, 310, 156, 1553, 1952, 4806, 9924, 5162, 5269, 13116, 11664, 3462]$
1.6.N.24.3b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(T,1)$	$24$	$1/3$	$4$	$54$	$1040$	$25130$	$706104$	$706104$	$2$	$13$	$106$	$1037$	$11542$	$140919$	$20$	$2792$	$710800$		✓	$[1, 4, 10, 8, 15, 84, 84, 114, 200, 84, 48, 425, 516, 1236, 2532, 1312, 1325, 3296, 2938, 876]$
1.6.N.24.12b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$D(2,2)$	$24$	$1/3$	$2$	$24$	$620$	$19180$	$620172$	$620172$	$1$	$6$	$55$	$670$	$8871$	$121254$	$10$	$1994$	$644320$		✓	$[1, 2, 5, 8, 10, 54, 71, 104, 182, 103, 42, 378, 516, 1200, 2466, 1338, 1332, 3354, 2954, 984]$
1.6.N.96.64b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$D(4,4)$	$96$	$1/3$	$2$	$18$	$320$	$7560$	$204372$	$204372$	$1$	$5$	$34$	$318$	$3451$	$40883$	$8$	$846$	$199940$		✓	$[1, 2, 4, 6, 7, 26, 32, 41, 64, 41, 20, 128, 170, 352, 686, 376, 365, 908, 783, 286]$
1.6.N.168.42a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$E(168)$	$168$	$1/3$	$2$	$12$	$140$	$3080$	$90972$	$90972$	$1$	$4$	$19$	$140$	$1451$	$18112$	$6$	$366$	$94080$		✓	$[1, 2, 3, 4, 4, 10, 15, 18, 30, 23, 10, 56, 84, 176, 356, 206, 198, 498, 436, 172]$

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