Sato-Tate group search results

Results (29 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.G.1.1a	$1$	$6$	$5$	$\mathrm{U}(1)^2\times\mathrm{SU}(2)$	$F\times \mathrm{SU}(2)$	$1$	$0$	$5$	$62$	$1065$	$21714$	$492366$	$492366$	$3$	$17$	$123$	$1053$	$10023$	$102549$	$24$	$2600$	$446720$		✓	$[1, 5, 12, 9, 17, 84, 78, 96, 149, 52, 45, 313, 333, 689, 1240, 537, 537, 1177, 894, 221]$
1.6.H.2.1c	$1$	$6$	$3$	$\mathrm{U}(1)^3$	$H_{a}$	$2$	$0$	$5$	$63$	$1130$	$24815$	$618030$	$618030$	$3$	$17$	$123$	$1089$	$11043$	$122489$	$24$	$2748$	$567360$		✓	$[1, 5, 12, 9, 18, 88, 83, 108, 173, 68, 54, 393, 434, 953, 1800, 853, 854, 1986, 1631, 441]$
1.6.I.1.1a	$1$	$6$	$6$	$\mathrm{SU}(2)\times\mathrm{SU}(2)_2$	$\mathrm{SU}(2)\times E_1$	$1$	$0$	$5$	$58$	$925$	$17598$	$374850$	$374850$	$4$	$21$	$137$	$1059$	$9250$	$88075$	$26$	$2444$	$366740$		✓	$[1, 5, 14, 9, 15, 76, 70, 96, 133, 44, 35, 235, 251, 535, 940, 399, 449, 887, 642, 155]$
1.6.J.2.1e	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_2(E_1)$	$2$	$0$	$5$	$59$	$990$	$20419$	$479514$	$479514$	$4$	$21$	$137$	$1091$	$10130$	$104555$	$26$	$2594$	$466760$		✓	$[1, 5, 14, 9, 16, 80, 75, 106, 153, 58, 42, 303, 336, 735, 1376, 641, 664, 1448, 1169, 305]$
1.6.K.2.1a	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times J(C_1)$	$2$	$0$	$5$	$74$	$1485$	$34174$	$853986$	$853986$	$2$	$18$	$149$	$1450$	$15247$	$169543$	$27$	$3734$	$772130$		✓	$[1, 5, 15, 14, 24, 120, 119, 162, 255, 105, 76, 554, 616, 1304, 2384, 1084, 1125, 2517, 1957, 545]$
1.6.K.2.1b	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times C_2$	$2$	$0$	$5$	$74$	$1485$	$34174$	$853986$	$853986$	$3$	$19$	$153$	$1459$	$15273$	$169613$	$26$	$3724$	$772020$		✓	$[1, 5, 14, 11, 23, 120, 116, 156, 245, 90, 75, 551, 599, 1303, 2384, 1067, 1109, 2465, 1920, 493]$
1.6.K.2.1c	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times C_{2,1}$	$2$	$0$	$5$	$74$	$1485$	$34174$	$853986$	$853986$	$4$	$22$	$163$	$1490$	$15369$	$169907$	$27$	$3734$	$772130$		✓	$[1, 5, 15, 10, 24, 120, 115, 162, 243, 89, 76, 554, 596, 1304, 2384, 1064, 1125, 2457, 1921, 485]$
1.6.K.3.1a	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times C_3$	$3$	$0$	$5$	$62$	$1105$	$23954$	$582246$	$582246$	$3$	$17$	$125$	$1101$	$10933$	$117631$	$24$	$2728$	$527330$		✓	$[1, 5, 12, 9, 17, 88, 82, 108, 169, 60, 53, 373, 401, 877, 1600, 713, 747, 1647, 1280, 327]$
1.6.K.4.1b	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times C_4$	$4$	$0$	$5$	$62$	$1065$	$21854$	$503706$	$503706$	$3$	$17$	$123$	$1055$	$10093$	$104331$	$24$	$2604$	$457280$		✓	$[1, 5, 12, 9, 17, 84, 78, 98, 151, 54, 45, 319, 339, 725, 1304, 575, 595, 1305, 1006, 257]$
1.6.K.6.2c	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times C_6$	$6$	$0$	$5$	$62$	$1065$	$21714$	$492366$	$492366$	$3$	$17$	$123$	$1053$	$10023$	$102551$	$24$	$2600$	$446730$		✓	$[1, 5, 12, 9, 17, 84, 78, 96, 149, 52, 45, 313, 333, 689, 1240, 537, 539, 1179, 896, 223]$
1.6.L.2.1a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(C_1),C_1)$	$2$	$1/2$	$5$	$99$	$2450$	$67235$	$1956150$	$1956150$	$2$	$22$	$221$	$2530$	$30647$	$385723$	$34$	$7122$	$1933000$		✓	$[1, 5, 19, 15, 31, 208, 224, 320, 561, 231, 132, 1222, 1462, 3449, 6848, 3367, 3434, 8250, 7018, 1953]$
1.6.L.2.1c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(C_2,C_1)$	$2$	$1/2$	$5$	$99$	$2450$	$67235$	$1956150$	$1956150$	$3$	$23$	$225$	$2539$	$30673$	$385793$	$34$	$7122$	$1933000$		✓	$[1, 5, 18, 15, 32, 208, 223, 322, 561, 226, 132, 1219, 1462, 3449, 6848, 3367, 3436, 8250, 7005, 1953]$
1.6.L.2.1e	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(C_{2,1},C_1)$	$2$	$1/2$	$5$	$99$	$2450$	$67235$	$1956150$	$1956150$	$4$	$26$	$235$	$2570$	$30769$	$386087$	$34$	$7122$	$1933000$		✓	$[1, 5, 19, 15, 35, 208, 224, 336, 561, 231, 132, 1222, 1462, 3449, 6848, 3367, 3470, 8250, 7018, 1953]$
1.6.L.4.1c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(C_4,C_2)$	$4$	$0$	$5$	$63$	$1310$	$34195$	$982170$	$982170$	$3$	$17$	$135$	$1367$	$15773$	$194891$	$26$	$3762$	$971720$		✓	$[1, 5, 12, 11, 18, 108, 117, 164, 285, 122, 68, 611, 742, 1733, 3424, 1703, 1722, 4146, 3519, 1009]$
1.6.L.4.2g	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(J(C_1))$	$4$	$1/4$	$5$	$75$	$1550$	$38115$	$1042650$	$1042650$	$2$	$18$	$149$	$1498$	$16767$	$202023$	$27$	$3969$	$987300$		✓	$[1, 5, 15, 14, 25, 124, 129, 181, 295, 151, 87, 662, 792, 1753, 3424, 1764, 1751, 4266, 3648, 1161]$
1.6.L.4.2k	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(C_2)$	$4$	$1/4$	$5$	$75$	$1550$	$38115$	$1042650$	$1042650$	$3$	$19$	$153$	$1507$	$16793$	$202093$	$26$	$3954$	$987080$		✓	$[1, 5, 14, 11, 24, 124, 123, 174, 285, 122, 84, 659, 758, 1749, 3424, 1719, 1732, 4162, 3577, 1025]$
1.6.L.4.2l	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(C_{2,1})$	$4$	$1/4$	$5$	$75$	$1550$	$38115$	$1042650$	$1042650$	$4$	$22$	$163$	$1538$	$16889$	$202387$	$27$	$3969$	$987300$		✓	$[1, 5, 15, 10, 25, 124, 121, 181, 283, 119, 83, 662, 748, 1749, 3424, 1708, 1751, 4142, 3576, 1001]$
1.6.L.6.2e	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(C_6,C_3)$	$6$	$1/6$	$5$	$63$	$1130$	$25935$	$693630$	$693630$	$3$	$17$	$123$	$1113$	$11783$	$138071$	$24$	$2892$	$671380$		✓	$[1, 5, 12, 9, 18, 88, 87, 116, 197, 80, 54, 429, 502, 1165, 2300, 1137, 1156, 2764, 2355, 661]$
1.6.L.6.2f	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(C_3)$	$6$	$0$	$5$	$63$	$1170$	$27055$	$716310$	$716310$	$3$	$17$	$125$	$1137$	$12013$	$140051$	$24$	$2892$	$673940$		✓	$[1, 5, 12, 9, 18, 92, 87, 120, 197, 80, 62, 453, 510, 1177, 2300, 1149, 1160, 2772, 2387, 673]$
1.6.L.8.2f	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(C_4)$	$8$	$1/8$	$5$	$63$	$1130$	$24955$	$629370$	$629370$	$3$	$17$	$123$	$1091$	$11113$	$124451$	$24$	$2754$	$582240$		✓	$[1, 5, 12, 9, 18, 88, 83, 110, 175, 72, 54, 399, 440, 989, 1884, 925, 926, 2192, 1865, 531]$
1.6.L.12.5g	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(C_6)$	$12$	$1/12$	$5$	$63$	$1130$	$24815$	$618030$	$618030$	$3$	$17$	$123$	$1089$	$11043$	$122491$	$24$	$2748$	$567380$		✓	$[1, 5, 12, 9, 18, 88, 83, 108, 173, 68, 54, 393, 434, 953, 1800, 853, 856, 1988, 1635, 445]$
1.6.M.2.1a	$1$	$6$	$3$	$\mathrm{SU}(2)_{3}$	$M(C_2)$	$2$	$0$	$5$	$82$	$1825$	$45934$	$1240050$	$1240050$	$4$	$25$	$209$	$2083$	$22890$	$266583$	$33$	$5540$	$1280610$		✓	$[1, 5, 18, 14, 25, 160, 170, 250, 406, 156, 84, 771, 924, 2165, 4224, 2019, 2107, 4848, 3968, 1061]$
1.6.N.4.1a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_n(A(1,2))$	$4$	$1/2$	$5$	$123$	$3650$	$114835$	$3720150$	$3720150$	$2$	$26$	$305$	$3954$	$53047$	$727031$	$42$	$11798$	$3863850$		✓	$[1, 5, 23, 21, 41, 320, 371, 571, 1053, 462, 216, 2262, 2872, 7143, 14784, 7703, 7894, 19640, 17474, 5175]$
1.6.N.4.2b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(1,2))$	$4$	$1/2$	$5$	$123$	$3650$	$114835$	$3720150$	$3720150$	$4$	$30$	$319$	$3994$	$53169$	$727395$	$42$	$11798$	$3863850$		✓	$[1, 5, 23, 21, 45, 320, 371, 587, 1053, 462, 216, 2262, 2872, 7143, 14784, 7703, 7930, 19640, 17474, 5175]$
1.6.N.6.1c	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(1,3))$	$6$	$1/2$	$5$	$99$	$2610$	$78435$	$2500470$	$2500470$	$4$	$26$	$243$	$2826$	$36369$	$490311$	$34$	$8130$	$2589040$		✓	$[1, 5, 19, 15, 35, 224, 252, 400, 709, 303, 152, 1522, 1906, 4769, 9876, 5125, 5310, 13068, 11650, 3405]$
1.6.N.8.3d	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(1,4)_1)$	$8$	$1/2$	$5$	$99$	$2450$	$68355$	$2056950$	$2056950$	$4$	$26$	$235$	$2586$	$31489$	$405911$	$34$	$7222$	$2086690$		✓	$[1, 5, 19, 15, 35, 208, 225, 345, 585, 252, 132, 1262, 1540, 3763, 7664, 3949, 4080, 9988, 8860, 2613]$
1.6.N.8.4b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_n(A(1,4)_1)$	$8$	$1/2$	$5$	$99$	$2450$	$68355$	$2056950$	$2056950$	$2$	$22$	$221$	$2546$	$31367$	$405547$	$34$	$7222$	$2086690$		✓	$[1, 5, 19, 15, 31, 208, 225, 329, 585, 252, 132, 1262, 1540, 3763, 7664, 3949, 4044, 9988, 8860, 2613]$
1.6.N.12.1b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J_n(A(1,6)_1)$	$12$	$1/2$	$5$	$99$	$2450$	$67235$	$1956150$	$1956150$	$2$	$22$	$221$	$2530$	$30647$	$385787$	$34$	$7122$	$1934400$		✓	$[1, 5, 19, 15, 31, 208, 224, 320, 561, 231, 132, 1222, 1462, 3449, 6852, 3373, 3450, 8304, 7102, 2009]$
1.6.N.12.4e	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(1,6)_1)$	$12$	$1/2$	$5$	$99$	$2450$	$67235$	$1956150$	$1956150$	$4$	$26$	$235$	$2570$	$30769$	$386151$	$34$	$7122$	$1934400$		✓	$[1, 5, 19, 15, 35, 208, 224, 336, 561, 231, 132, 1222, 1462, 3449, 6852, 3373, 3486, 8304, 7102, 2009]$