Sato-Tate group search results

Results (21 matches)

 

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.H.6.2a	$1$	$6$	$3$	$\mathrm{U}(1)^3$	$H_{abc,s}$	$6$	$5/6$	$1$	$15$	$310$	$7455$	$195426$	$195426$	$1$	$5$	$35$	$321$	$3411$	$39143$	$6$	$822$	$184860$	✓	✓	$[1, 1, 4, 3, 6, 26, 27, 40, 57, 26, 16, 125, 142, 315, 602, 281, 298, 660, 541, 147]$
1.6.J.8.3a	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J(J(E_4),J(E_2))$	$8$	$1/4$	$2$	$15$	$225$	$4739$	$114933$	$114933$	$2$	$7$	$35$	$257$	$2392$	$25195$	$8$	$630$	$114920$		✓	$[1, 2, 4, 4, 6, 18, 22, 31, 41, 25, 11, 74, 94, 187, 344, 175, 171, 382, 304, 104]$
1.6.J.12.4a	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J(J(E_6),J(E_3))$	$12$	$1/3$	$2$	$15$	$195$	$3605$	$81333$	$81333$	$2$	$7$	$32$	$208$	$1767$	$17680$	$7$	$471$	$78750$		✓	$[1, 2, 4, 3, 6, 14, 16, 22, 28, 15, 10, 53, 61, 125, 233, 113, 117, 245, 202, 56]$
1.6.J.12.4b	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_2(J(E_3))$	$12$	$1/4$	$2$	$15$	$200$	$3717$	$83223$	$83223$	$2$	$7$	$33$	$216$	$1822$	$18040$	$7$	$471$	$79070$		✓	$[1, 2, 4, 3, 6, 15, 16, 24, 28, 15, 11, 55, 62, 126, 233, 114, 121, 246, 204, 57]$
1.6.J.16.11a	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_2(J(E_4))$	$16$	$5/16$	$2$	$15$	$195$	$3479$	$74193$	$74193$	$2$	$7$	$32$	$203$	$1647$	$15685$	$7$	$438$	$66580$	✓	✓	$[1, 2, 4, 3, 6, 14, 15, 22, 24, 16, 10, 50, 55, 105, 184, 96, 97, 199, 165, 57]$
1.6.J.24.14a	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_2(J(E_6))$	$24$	$7/24$	$2$	$15$	$195$	$3465$	$73143$	$73143$	$2$	$7$	$32$	$202$	$1627$	$15305$	$7$	$435$	$63950$	✓	✓	$[1, 2, 4, 3, 6, 14, 15, 21, 23, 14, 10, 49, 54, 99, 170, 82, 86, 169, 134, 44]$
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.48.49a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(J(T))$	$48$	$5/16$	$2$	$15$	$205$	$4025$	$97587$	$97587$	$2$	$7$	$32$	$212$	$1862$	$19650$	$7$	$471$	$90360$		✓	$[1, 2, 4, 3, 6, 15, 16, 24, 30, 19, 12, 64, 75, 154, 294, 157, 160, 367, 317, 108]$
1.6.L.96.226a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(J(O))$	$96$	$11/32$	$2$	$15$	$195$	$3500$	$75852$	$75852$	$2$	$7$	$32$	$203$	$1647$	$15785$	$7$	$438$	$67460$	✓	✓	$[1, 2, 4, 3, 6, 14, 15, 22, 24, 16, 10, 51, 56, 107, 190, 99, 104, 217, 185, 66]$
1.6.N.36.10a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(D(3,1))$	$36$	$13/18$	$1$	$15$	$410$	$12775$	$413406$	$413406$	$1$	$5$	$40$	$457$	$5946$	$80934$	$6$	$1322$	$429450$		✓	$[1, 1, 4, 5, 8, 36, 48, 75, 121, 71, 28, 253, 344, 799, 1644, 891, 901, 2236, 1974, 655]$
1.6.N.42.1a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(C(1,7))$	$42$	$5/6$	$1$	$15$	$370$	$11095$	$355446$	$355446$	$1$	$5$	$38$	$409$	$5176$	$69734$	$6$	$1158$	$368910$		✓	$[1, 1, 4, 3, 6, 32, 37, 60, 101, 46, 22, 217, 272, 681, 1411, 731, 767, 1866, 1667, 489]$
1.6.N.54.5a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(C(3,3))$	$54$	$47/54$	$1$	$15$	$330$	$9135$	$282366$	$282366$	$1$	$5$	$36$	$357$	$4266$	$55734$	$6$	$966$	$290620$		✓	$[1, 1, 4, 3, 6, 28, 31, 50, 81, 38, 20, 173, 214, 533, 1104, 573, 605, 1456, 1302, 385]$
1.6.N.54.8a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(C(3,3))$	$54$	$47/54$	$1$	$15$	$330$	$9135$	$282366$	$282366$	$1$	$5$	$36$	$357$	$4266$	$55734$	$6$	$966$	$290620$		✓	$[1, 1, 4, 3, 6, 28, 31, 50, 81, 38, 20, 173, 214, 533, 1104, 573, 605, 1456, 1302, 385]$
1.6.N.72.42a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(C(6,2))$	$72$	$31/36$	$1$	$15$	$310$	$7875$	$228186$	$228186$	$1$	$5$	$34$	$323$	$3646$	$45394$	$6$	$862$	$231350$		✓	$[1, 1, 4, 3, 6, 26, 28, 41, 65, 33, 16, 139, 172, 409, 840, 439, 451, 1104, 986, 303]$
1.6.N.72.44a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(C(6,2))$	$72$	$31/36$	$1$	$15$	$310$	$7875$	$228186$	$228186$	$1$	$5$	$35$	$327$	$3661$	$45444$	$6$	$862$	$231350$		✓	$[1, 1, 4, 3, 6, 26, 28, 43, 65, 33, 16, 139, 172, 409, 840, 439, 457, 1104, 986, 303]$
1.6.N.96.64a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(C(4,4))$	$96$	$5/6$	$1$	$15$	$310$	$7525$	$204246$	$204246$	$1$	$5$	$34$	$319$	$3456$	$40904$	$6$	$828$	$199740$		✓	$[1, 1, 4, 3, 6, 26, 27, 40, 59, 30, 16, 129, 148, 347, 686, 349, 367, 866, 768, 233]$
1.6.N.96.72a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(C(4,4))$	$96$	$5/6$	$1$	$15$	$310$	$7525$	$204246$	$204246$	$1$	$5$	$35$	$322$	$3466$	$40934$	$6$	$828$	$199740$		✓	$[1, 1, 4, 3, 6, 26, 27, 41, 59, 29, 16, 128, 148, 347, 686, 349, 369, 866, 765, 233]$
1.6.N.216.95a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_s(C(6,6))$	$216$	$91/108$	$1$	$15$	$310$	$7455$	$195426$	$195426$	$1$	$5$	$34$	$317$	$3396$	$39094$	$6$	$822$	$184880$		✓	$[1, 1, 4, 3, 6, 26, 27, 38, 57, 26, 16, 125, 142, 315, 602, 281, 293, 662, 544, 151]$
1.6.N.216.99a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(C(6,6))$	$216$	$91/108$	$1$	$15$	$310$	$7455$	$195426$	$195426$	$1$	$5$	$35$	$321$	$3411$	$39144$	$6$	$822$	$184880$		✓	$[1, 1, 4, 3, 6, 26, 27, 40, 57, 26, 16, 125, 142, 315, 602, 281, 299, 662, 544, 151]$