Sato-Tate group search results

Results (16 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.L.12.4a	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_3),J(C_3))$	$12$	$1/2$	$2$	$24$	$480$	$12040$	$336672$	$336672$	$2$	$9$	$56$	$507$	$5562$	$67046$	$9$	$1311$	$330040$		✓	$[1, 2, 6, 5, 11, 39, 45, 71, 102, 56, 27, 213, 264, 583, 1150, 586, 607, 1422, 1209, 383]$
1.6.L.12.4b	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_3),D_3)$	$12$	$1/2$	$2$	$24$	$480$	$12040$	$336672$	$336672$	$2$	$9$	$56$	$507$	$5562$	$67046$	$9$	$1311$	$330030$		✓	$[1, 2, 6, 5, 11, 39, 45, 69, 100, 52, 27, 213, 260, 583, 1150, 580, 601, 1401, 1196, 355]$
1.6.L.12.4c	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{6,1},D_3)$	$12$	$1/2$	$2$	$24$	$480$	$12040$	$336672$	$336672$	$2$	$9$	$57$	$511$	$5577$	$67096$	$9$	$1311$	$330030$		✓	$[1, 2, 6, 5, 11, 39, 45, 71, 100, 52, 27, 213, 260, 583, 1150, 580, 607, 1401, 1196, 355]$
1.6.L.12.4d	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{6,1},C_{6,1})$	$12$	$1/2$	$2$	$24$	$480$	$12040$	$336672$	$336672$	$2$	$9$	$57$	$511$	$5577$	$67096$	$9$	$1311$	$330040$		✓	$[1, 2, 6, 5, 11, 39, 45, 69, 98, 48, 27, 213, 256, 583, 1150, 574, 601, 1382, 1185, 331]$
1.6.L.12.4e	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(J(D_3),D_{3,2})$	$12$	$1/2$	$2$	$24$	$480$	$12040$	$336672$	$336672$	$2$	$9$	$56$	$507$	$5562$	$67046$	$10$	$1326$	$330250$		✓	$[1, 2, 6, 4, 9, 39, 42, 62, 98, 44, 26, 213, 250, 583, 1150, 569, 586, 1381, 1182, 331]$
1.6.L.12.4f	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{6,1},D_{3,2})$	$12$	$1/2$	$2$	$24$	$480$	$12040$	$336672$	$336672$	$2$	$9$	$57$	$511$	$5577$	$67096$	$10$	$1326$	$330250$		✓	$[1, 2, 6, 4, 9, 39, 42, 64, 98, 44, 26, 213, 250, 583, 1150, 569, 592, 1381, 1182, 331]$
1.6.L.12.4g	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(J(D_3))$	$12$	$0$	$3$	$27$	$490$	$12075$	$336798$	$336798$	$2$	$9$	$56$	$507$	$5562$	$67046$	$12$	$1344$	$330460$		✓	$[1, 3, 6, 7, 10, 39, 47, 66, 105, 60, 30, 213, 276, 588, 1150, 602, 595, 1444, 1214, 412]$
1.6.L.12.4h	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_{6,1})$	$12$	$0$	$3$	$27$	$490$	$12075$	$336798$	$336798$	$2$	$9$	$57$	$511$	$5577$	$67096$	$12$	$1344$	$330460$		✓	$[1, 3, 6, 7, 10, 39, 47, 64, 101, 52, 30, 213, 268, 588, 1150, 590, 589, 1404, 1190, 360]$
1.6.L.12.4i	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_6,D_3)$	$12$	$1/3$	$3$	$33$	$570$	$12985$	$346878$	$346878$	$2$	$10$	$65$	$566$	$5917$	$69106$	$13$	$1455$	$335790$		✓	$[1, 3, 7, 6, 11, 44, 47, 63, 101, 49, 29, 216, 262, 585, 1150, 582, 586, 1403, 1192, 357]$
1.6.L.12.4j	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_3)$	$12$	$1/4$	$3$	$33$	$590$	$13545$	$358218$	$358218$	$2$	$10$	$66$	$578$	$6032$	$70096$	$13$	$1455$	$337070$		✓	$[1, 3, 7, 6, 11, 46, 47, 65, 101, 49, 33, 228, 266, 591, 1150, 588, 588, 1407, 1208, 363]$
1.6.L.12.4k	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_6,C_6)$	$12$	$1/2$	$3$	$45$	$930$	$22365$	$586278$	$586278$	$2$	$12$	$95$	$932$	$10137$	$117136$	$16$	$2460$	$554580$		✓	$[1, 3, 9, 7, 15, 76, 78, 106, 171, 69, 46, 372, 426, 943, 1800, 843, 855, 1980, 1613, 435]$
1.6.L.12.4l	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_6)$	$12$	$0$	$4$	$48$	$940$	$22400$	$586404$	$586404$	$2$	$12$	$95$	$932$	$10137$	$117136$	$18$	$2478$	$554780$		✓	$[1, 4, 9, 10, 16, 76, 83, 108, 176, 81, 50, 372, 448, 948, 1800, 870, 858, 2022, 1632, 488]$
1.6.L.12.4m	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{6,2},D_{3,2})$	$12$	$1/3$	$3$	$33$	$570$	$12985$	$346878$	$346878$	$3$	$13$	$75$	$597$	$6013$	$69400$	$14$	$1470$	$336010$		✓	$[1, 3, 8, 5, 12, 44, 45, 70, 99, 46, 28, 219, 252, 585, 1150, 571, 605, 1383, 1191, 333]$
1.6.L.12.4n	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_2(D_{3,2})$	$12$	$1/4$	$3$	$33$	$590$	$13545$	$358218$	$358218$	$3$	$13$	$76$	$609$	$6128$	$70390$	$14$	$1470$	$337290$		✓	$[1, 3, 8, 5, 12, 46, 45, 72, 99, 46, 32, 231, 256, 591, 1150, 577, 607, 1387, 1207, 339]$
1.6.L.12.4o	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L(D_{6,2},C_6)$	$12$	$1/2$	$3$	$45$	$930$	$22365$	$586278$	$586278$	$3$	$15$	$105$	$963$	$10233$	$117430$	$16$	$2460$	$554580$		✓	$[1, 3, 10, 7, 18, 76, 79, 120, 171, 74, 46, 375, 426, 943, 1800, 843, 889, 1980, 1626, 435]$
1.6.L.12.4p	$1$	$6$	$6$	$\mathrm{U}(1)\times\mathrm{U}(1)_2$	$L_1(D_{6,2})$	$12$	$0$	$4$	$48$	$940$	$22400$	$586404$	$586404$	$3$	$15$	$105$	$963$	$10233$	$117430$	$20$	$2508$	$555220$		✓	$[1, 4, 10, 8, 15, 76, 78, 108, 172, 70, 48, 375, 428, 948, 1800, 848, 862, 1982, 1617, 440]$