Sato-Tate group search results

Results (25 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.D.2.1a	$1$	$4$	$2$	$\mathrm{U}(1)\times\mathrm{U}(1)$	$F_{ab}$	$2$	$1/2$	$2$	$18$	$200$	$2450$	$31752$	$31752$	$2$	$6$	$20$	$82$	$372$	$1824$					✓	$[1, 2, 3, 8, 12, 10, 14, 37, 40, 22]$
1.4.F.6.1a	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$D_3$	$6$	$1/2$	$2$	$18$	$220$	$3010$	$43092$	$43092$	$1$	$5$	$17$	$85$	$421$	$2263$					✓	$[1, 2, 4, 7, 14, 14, 18, 53, 62, 41]$
1.4.F.6.1b	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$D_{3,2}$	$6$	$1/2$	$2$	$18$	$220$	$3010$	$43092$	$43092$	$2$	$6$	$21$	$90$	$437$	$2285$					✓	$[1, 2, 3, 8, 14, 12, 18, 51, 62, 35]$
1.4.F.6.2a	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$J(C_3)$	$6$	$1/2$	$2$	$18$	$220$	$3010$	$43092$	$43092$	$1$	$5$	$16$	$85$	$416$	$2264$					✓	$[1, 2, 4, 7, 14, 16, 18, 55, 62, 50]$
1.4.F.6.2b	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$C_{6,1}$	$6$	$1/2$	$2$	$18$	$220$	$3010$	$43092$	$43092$	$1$	$5$	$18$	$85$	$426$	$2264$					✓	$[1, 2, 4, 7, 14, 12, 18, 51, 62, 34]$
1.4.F.8.2a	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$J(C_4)$	$8$	$5/8$	$2$	$18$	$200$	$2520$	$34272$	$34272$	$1$	$5$	$16$	$79$	$366$	$1904$					✓	$[1, 2, 4, 7, 12, 14, 14, 43, 48, 40]$
1.4.F.8.3b	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$D_4$	$8$	$5/8$	$2$	$18$	$200$	$2520$	$34272$	$34272$	$1$	$5$	$16$	$78$	$366$	$1898$					✓	$[1, 2, 4, 7, 12, 13, 14, 42, 48, 35]$
1.4.F.8.3c	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$D_{4,2}$	$8$	$5/8$	$2$	$18$	$200$	$2520$	$34272$	$34272$	$2$	$6$	$20$	$83$	$382$	$1920$					✓	$[1, 2, 3, 8, 12, 11, 14, 40, 48, 29]$
1.4.F.12.4c	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$D_6$	$12$	$7/12$	$2$	$18$	$200$	$2450$	$31752$	$31752$	$1$	$5$	$16$	$77$	$356$	$1803$					✓	$[1, 2, 4, 7, 12, 12, 14, 39, 40, 29]$
1.4.F.12.4d	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$D_{6,2}$	$12$	$7/12$	$2$	$18$	$200$	$2450$	$31752$	$31752$	$2$	$6$	$20$	$82$	$372$	$1825$					✓	$[1, 2, 3, 8, 12, 10, 14, 37, 40, 23]$
1.4.F.12.5a	$1$	$4$	$1$	$\mathrm{U}(1)_{2}$	$J(C_6)$	$12$	$7/12$	$2$	$18$	$200$	$2450$	$31752$	$31752$	$1$	$5$	$16$	$77$	$356$	$1804$					✓	$[1, 2, 4, 7, 12, 12, 14, 39, 40, 30]$
1.6.H.8.2a	$1$	$6$	$3$	$\mathrm{U}(1)^3$	$H_{c,at}$	$8$	$3/8$	$2$	$18$	$290$	$6230$	$154602$	$154602$	$2$	$7$	$38$	$293$	$2822$	$30805$	$7$	$699$	$142000$	✓	✓	$[1, 2, 4, 3, 7, 22, 23, 33, 44, 20, 15, 101, 110, 240, 450, 215, 228, 498, 416, 112]$
1.6.L.16.11a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_4),D_{4,1})$	$16$	$3/8$	$2$	$18$	$335$	$8575$	$245637$	$245637$	$2$	$8$	$44$	$372$	$4032$	$48986$	$8$	$957$	$243140$		✓	$[1, 2, 5, 4, 8, 27, 33, 52, 73, 40, 19, 157, 192, 436, 856, 434, 454, 1048, 899, 267]$
1.6.L.16.11b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_4),J(D_2))$	$16$	$3/8$	$2$	$18$	$335$	$8575$	$245637$	$245637$	$2$	$8$	$44$	$372$	$4032$	$48986$	$9$	$969$	$243300$		✓	$[1, 2, 5, 5, 8, 27, 34, 53, 76, 47, 20, 157, 203, 438, 856, 449, 456, 1079, 914, 308]$
1.6.L.24.14a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_6),J(D_3))$	$24$	$5/12$	$2$	$18$	$290$	$6510$	$173502$	$173502$	$2$	$8$	$41$	$308$	$3032$	$34771$	$8$	$744$	$168110$		✓	$[1, 2, 5, 4, 8, 22, 26, 41, 53, 34, 16, 111, 139, 295, 575, 302, 314, 723, 617, 207]$
1.6.L.24.14b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_6),D_{6,1})$	$24$	$5/12$	$2$	$18$	$290$	$6510$	$173502$	$173502$	$2$	$8$	$41$	$308$	$3032$	$34771$	$8$	$744$	$168110$		✓	$[1, 2, 5, 4, 8, 22, 26, 39, 51, 30, 16, 111, 135, 295, 575, 296, 308, 703, 605, 181]$
1.6.L.24.14c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(J(D_3))$	$24$	$3/8$	$2$	$18$	$300$	$6790$	$179172$	$179172$	$2$	$8$	$41$	$312$	$3082$	$35241$	$8$	$744$	$168750$		✓	$[1, 2, 5, 4, 8, 23, 26, 41, 53, 34, 18, 117, 141, 298, 575, 305, 312, 725, 625, 210]$
1.6.L.24.14d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_{6,1})$	$24$	$3/8$	$2$	$18$	$300$	$6790$	$179172$	$179172$	$2$	$8$	$42$	$316$	$3097$	$35291$	$8$	$744$	$168750$		✓	$[1, 2, 5, 4, 8, 23, 26, 41, 51, 30, 18, 117, 137, 298, 575, 299, 312, 705, 613, 184]$
1.6.L.32.46a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(J(D_4))$	$32$	$13/32$	$2$	$18$	$290$	$6265$	$157437$	$157437$	$2$	$8$	$41$	$303$	$2867$	$31376$	$8$	$711$	$145850$		✓	$[1, 2, 5, 4, 8, 22, 25, 39, 47, 31, 16, 104, 122, 251, 471, 247, 256, 575, 493, 168]$
1.6.L.48.51a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(J(D_6))$	$48$	$19/48$	$2$	$18$	$290$	$6230$	$154602$	$154602$	$2$	$8$	$41$	$302$	$2847$	$30876$	$8$	$708$	$142110$	✓	✓	$[1, 2, 5, 4, 8, 22, 25, 38, 46, 29, 16, 102, 120, 242, 450, 228, 236, 519, 431, 140]$
1.6.N.36.9a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$E(36)$	$36$	$2/9$	$2$	$18$	$420$	$12810$	$413532$	$413532$	$1$	$5$	$39$	$453$	$5931$	$80883$	$8$	$1344$	$429740$		✓	$[1, 2, 4, 6, 7, 36, 48, 70, 122, 70, 28, 253, 344, 802, 1644, 894, 889, 2236, 1972, 658]$
1.6.N.54.5b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$D(3,3)$	$54$	$10/27$	$2$	$18$	$340$	$9170$	$282492$	$282492$	$1$	$5$	$35$	$353$	$4251$	$55683$	$8$	$984$	$290820$		✓	$[1, 2, 4, 6, 7, 28, 36, 50, 86, 50, 24, 173, 236, 538, 1104, 602, 601, 1500, 1320, 446]$
1.6.N.72.43a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$D(6,2)$	$72$	$13/36$	$2$	$18$	$320$	$7910$	$228312$	$228312$	$1$	$5$	$34$	$323$	$3646$	$45393$	$8$	$884$	$231640$		✓	$[1, 2, 4, 6, 7, 26, 34, 44, 70, 50, 20, 139, 200, 416, 840, 480, 455, 1164, 1014, 392]$
1.6.N.96.64b	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$D(4,4)$	$96$	$1/3$	$2$	$18$	$320$	$7560$	$204372$	$204372$	$1$	$5$	$34$	$318$	$3451$	$40883$	$8$	$846$	$199940$		✓	$[1, 2, 4, 6, 7, 26, 32, 41, 64, 41, 20, 128, 170, 352, 686, 376, 365, 908, 783, 286]$
1.6.N.216.92a	$1$	$6$	$1$	$\mathrm{U}(1)_{3}$	$D(6,6)$	$216$	$37/108$	$2$	$18$	$320$	$7490$	$195552$	$195552$	$1$	$5$	$34$	$317$	$3396$	$39093$	$8$	$840$	$185080$		✓	$[1, 2, 4, 6, 7, 26, 32, 40, 62, 38, 20, 125, 164, 320, 602, 308, 295, 704, 562, 204]$