Sato-Tate group search results

Results (7 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.G.4.2a	$1$	$6$	$5$	$\mathrm{U}(1)^2\times\mathrm{SU}(2)$	$F_{a,b}\times \mathrm{SU}(2)$	$4$	$0$	$3$	$26$	$355$	$6314$	$132804$	$132804$	$3$	$12$	$60$	$384$	$3048$	$28259$	$13$	$818$	$117360$	✓	✓	$[1, 3, 7, 4, 8, 26, 23, 34, 39, 17, 16, 88, 88, 178, 310, 140, 155, 299, 237, 61]$
1.6.I.3.1a	$1$	$6$	$6$	$\mathrm{SU}(2)\times\mathrm{SU}(2)_2$	$\mathrm{SU}(2)\times E_3$	$3$	$0$	$3$	$26$	$355$	$6258$	$128646$	$128646$	$2$	$9$	$53$	$385$	$3238$	$30163$	$12$	$872$	$124190$		✓	$[1, 3, 6, 5, 7, 28, 26, 34, 47, 18, 15, 81, 87, 181, 318, 137, 153, 299, 218, 57]$
1.6.I.4.1a	$1$	$6$	$6$	$\mathrm{SU}(2)\times\mathrm{SU}(2)_2$	$\mathrm{SU}(2)\times E_4$	$4$	$0$	$3$	$26$	$345$	$5782$	$112686$	$112686$	$2$	$9$	$51$	$359$	$2908$	$26103$	$12$	$812$	$105080$		✓	$[1, 3, 6, 5, 7, 26, 24, 30, 41, 18, 13, 71, 75, 147, 250, 113, 121, 239, 176, 53]$
1.6.I.6.2a	$1$	$6$	$6$	$\mathrm{SU}(2)\times\mathrm{SU}(2)_2$	$\mathrm{SU}(2)\times E_6$	$6$	$0$	$3$	$26$	$345$	$5754$	$110586$	$110586$	$2$	$9$	$51$	$357$	$2868$	$25403$	$12$	$808$	$101370$		✓	$[1, 3, 6, 5, 7, 26, 24, 28, 39, 16, 13, 69, 73, 135, 230, 99, 101, 201, 146, 43]$
1.6.J.4.2c	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_1(J(E_2))$	$4$	$0$	$3$	$26$	$430$	$9366$	$229194$	$229194$	$2$	$9$	$56$	$471$	$4642$	$49891$	$12$	$1196$	$228560$		✓	$[1, 3, 6, 7, 9, 35, 42, 54, 81, 44, 22, 145, 188, 369, 688, 345, 329, 764, 598, 203]$
1.6.K.12.3a	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times T$	$12$	$0$	$3$	$26$	$365$	$6874$	$155274$	$155274$	$2$	$9$	$52$	$381$	$3322$	$32895$	$12$	$872$	$141370$		✓	$[1, 3, 6, 5, 7, 28, 26, 34, 49, 20, 17, 99, 107, 227, 408, 185, 199, 425, 328, 91]$
1.6.K.24.12b	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times O$	$24$	$0$	$3$	$26$	$345$	$5824$	$116004$	$116004$	$2$	$9$	$51$	$358$	$2902$	$26245$	$12$	$810$	$106345$		✓	$[1, 3, 6, 5, 7, 26, 24, 29, 40, 17, 13, 72, 76, 151, 260, 116, 123, 254, 191, 56]$

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