Sato-Tate group search results

Results (13 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
1.4.F.1.1a	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$C_1$	$1$	$0$	$8$	$96$	$1280$	$17920$	$258048$	$258048$	$4$	$18$	$88$	$454$	$2424$	$13236$					✓	$[1, 8, 11, 34, 80, 56, 104, 301, 368, 192]$
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.1.1a	$1$	$6$	$4$	$\mathrm{U}(1)\times\mathrm{SU}(2)_2$	$J_1(E_1)$	$1$	$0$	$6$	$86$	$1660$	$37254$	$916020$	$916020$	$4$	$25$	$197$	$1811$	$18370$	$199015$	$36$	$4676$	$913040$		✓	$[1, 6, 18, 14, 23, 140, 140, 186, 302, 110, 68, 571, 656, 1450, 2752, 1262, 1269, 2880, 2288, 590]$
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.2.1c	$1$	$6$	$4$	$\mathrm{SU}(2)\times\mathrm{U}(1)_2$	$\mathrm{SU}(2)\times C_{2,1}$	$2$	$0$	$5$	$74$	$1485$	$34174$	$853986$	$853986$	$4$	$22$	$163$	$1490$	$15369$	$169907$	$27$	$3734$	$772130$		✓	$[1, 5, 15, 10, 24, 120, 115, 162, 243, 89, 76, 554, 596, 1304, 2384, 1064, 1125, 2457, 1921, 485]$
1.6.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.2.1f	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(C_{2,1})$	$2$	$0$	$6$	$102$	$2460$	$67270$	$1956276$	$1956276$	$4$	$26$	$235$	$2570$	$30769$	$386087$	$38$	$7170$	$1933640$		✓	$[1, 6, 19, 16, 32, 208, 223, 324, 562, 227, 134, 1222, 1464, 3454, 6848, 3372, 3443, 8252, 7009, 1958]$
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.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.4.2b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(1,2))$	$4$	$1/2$	$5$	$123$	$3650$	$114835$	$3720150$	$3720150$	$4$	$30$	$319$	$3994$	$53169$	$727395$	$42$	$11798$	$3863850$		✓	$[1, 5, 23, 21, 45, 320, 371, 587, 1053, 462, 216, 2262, 2872, 7143, 14784, 7703, 7930, 19640, 17474, 5175]$
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.12.4e	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$J(A(1,6)_1)$	$12$	$1/2$	$5$	$99$	$2450$	$67235$	$1956150$	$1956150$	$4$	$26$	$235$	$2570$	$30769$	$386151$	$34$	$7122$	$1934400$		✓	$[1, 5, 19, 15, 35, 208, 224, 336, 561, 231, 132, 1222, 1462, 3449, 6852, 3373, 3486, 8304, 7102, 2009]$