Sato-Tate group search results

Results (15 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.4.2c	$1$	$6$	$3$	$\mathrm{U}(1)^3$	$H_{a,b}$	$4$	$0$	$4$	$42$	$670$	$13650$	$324954$	$324954$	$3$	$14$	$84$	$648$	$6048$	$64139$	$18$	$1542$	$290400$		✓	$[1, 4, 9, 6, 12, 50, 45, 60, 88, 37, 32, 210, 222, 484, 900, 434, 437, 998, 833, 228]$
1.6.J.3.1a	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_1(E_3)$	$3$	$0$	$4$	$42$	$670$	$13594$	$318276$	$318276$	$2$	$11$	$77$	$661$	$6438$	$68173$	$16$	$1656$	$308840$		✓	$[1, 4, 8, 8, 13, 52, 54, 66, 108, 44, 34, 201, 234, 490, 932, 438, 431, 970, 780, 210]$
1.6.J.4.1b	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_1(E_4)$	$4$	$0$	$4$	$42$	$660$	$12838$	$285096$	$285096$	$2$	$11$	$75$	$623$	$5828$	$59313$	$16$	$1524$	$259520$		✓	$[1, 4, 8, 8, 13, 50, 50, 60, 92, 46, 32, 183, 208, 404, 736, 364, 339, 784, 622, 208]$
1.6.J.6.2c	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_1(E_6)$	$6$	$0$	$4$	$42$	$660$	$12810$	$281736$	$281736$	$2$	$11$	$75$	$621$	$5768$	$57953$	$16$	$1512$	$249000$		✓	$[1, 4, 8, 8, 13, 50, 50, 58, 88, 40, 32, 181, 204, 384, 680, 312, 299, 664, 504, 160]$
1.6.L.12.3a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(T)$	$12$	$0$	$4$	$42$	$680$	$14490$	$368424$	$368424$	$2$	$11$	$76$	$657$	$6622$	$74445$	$16$	$1656$	$353320$		✓	$[1, 4, 8, 8, 13, 52, 54, 68, 112, 52, 36, 229, 276, 600, 1176, 596, 591, 1416, 1200, 364]$
1.6.L.24.12d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(O)$	$24$	$0$	$4$	$42$	$660$	$12880$	$290304$	$290304$	$2$	$11$	$75$	$622$	$5822$	$59665$	$16$	$1518$	$262900$		✓	$[1, 4, 8, 8, 13, 50, 50, 59, 90, 43, 32, 184, 210, 414, 760, 374, 359, 840, 685, 224]$
1.6.M.4.1a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(C_4)$	$4$	$0$	$3$	$42$	$915$	$22974$	$620046$	$620046$	$2$	$13$	$105$	$1043$	$11448$	$133299$	$17$	$2772$	$640322$		✓	$[1, 3, 10, 8, 13, 80, 86, 126, 204, 80, 42, 387, 462, 1083, 2112, 1011, 1055, 2424, 1988, 533]$
1.6.M.4.2a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(D_2)$	$4$	$0$	$3$	$42$	$915$	$22974$	$620046$	$620046$	$3$	$15$	$111$	$1059$	$11493$	$133425$	$17$	$2772$	$640322$		✓	$[1, 3, 10, 8, 15, 80, 88, 132, 204, 84, 44, 387, 468, 1085, 2112, 1017, 1065, 2432, 1992, 541]$
1.6.N.12.3a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$C(2,2)$	$12$	$2/3$	$2$	$42$	$1220$	$38290$	$1240092$	$1240092$	$1$	$9$	$103$	$1321$	$17691$	$242367$	$16$	$3944$	$1288060$		✓	$[1, 2, 8, 10, 15, 108, 128, 194, 354, 166, 76, 753, 976, 2386, 4932, 2594, 2641, 6588, 5840, 1790]$
1.6.N.12.4a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(B(3,1))$	$12$	$2/3$	$2$	$42$	$1220$	$38290$	$1240092$	$1240092$	$2$	$12$	$112$	$1348$	$17772$	$242610$	$15$	$3941$	$1288050$		✓	$[1, 2, 9, 9, 18, 107, 129, 206, 354, 170, 75, 756, 976, 2385, 4929, 2594, 2665, 6587, 5852, 1785]$
1.6.N.24.3a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(T,1;1)$	$24$	$0$	$4$	$42$	$800$	$21070$	$640584$	$640584$	$2$	$11$	$82$	$823$	$9762$	$126537$	$16$	$2260$	$657460$		✓	$[1, 4, 8, 8, 13, 64, 72, 104, 188, 84, 48, 391, 492, 1204, 2484, 1304, 1335, 3292, 2930, 880]$
1.6.N.48.29c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(O,1)$	$48$	$1/6$	$4$	$42$	$660$	$14000$	$368424$	$368424$	$2$	$11$	$75$	$638$	$6452$	$74457$	$16$	$1630$	$367040$		✓	$[1, 4, 8, 8, 13, 50, 54, 67, 110, 63, 32, 220, 290, 626, 1274, 702, 675, 1712, 1507, 528]$
1.6.N.48.33b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(T,2)$	$48$	$1/6$	$4$	$42$	$680$	$14770$	$388584$	$388584$	$2$	$11$	$76$	$661$	$6782$	$78357$	$16$	$1688$	$382900$		✓	$[1, 4, 8, 8, 13, 52, 56, 70, 116, 58, 36, 237, 300, 656, 1316, 700, 691, 1712, 1512, 492]$
1.6.N.72.25a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(T,3)$	$72$	$1/9$	$4$	$42$	$680$	$14490$	$368424$	$368424$	$2$	$11$	$76$	$657$	$6622$	$74457$	$16$	$1656$	$353620$		✓	$[1, 4, 8, 8, 13, 52, 54, 68, 112, 52, 36, 229, 276, 600, 1178, 596, 595, 1424, 1214, 372]$
1.6.N.96.67a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$B(O,2)$	$96$	$1/12$	$4$	$42$	$660$	$12880$	$292824$	$292824$	$2$	$11$	$75$	$622$	$5832$	$60247$	$16$	$1518$	$268960$		✓	$[1, 4, 8, 8, 13, 50, 50, 59, 90, 43, 32, 184, 210, 426, 794, 406, 397, 952, 821, 268]$