Family Information
| Genus: | $10$ |
| Quotient genus: | $0$ |
| Group name: | $C_3^2:A_4$ |
| Group identifier: | $[108,22]$ |
| Signature: | $[ 0; 3, 3, 6 ]$ |
| Conjugacy classes for this refined passport: | $8, 9, 18$ |
The full automorphism group for this family is $C_3^2:S_4$ with signature $[ 0; 2, 3, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times E^{3}\times E^{3}\times E^{3}$ |
| Corresponding character(s): | $3, 12, 16, 17$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.108-22.0.3-3-6.8.1
| (1,73,37) (2,75,40) (3,76,38) (4,74,39) (5,77,41) (6,79,44) (7,80,42) (8,78,43) (9,81,45) (10,83,48) (11,84,46) (12,82,47) (13,93,53) (14,95,56) (15,96,54) (16,94,55) (17,85,57) (18,87,60) (19,88,58) (20,86,59) (21,89,49) (22,91,52) (23,92,50) (24,90,51) (25,101,69) (26,103,72) (27,104,70) (28,102,71) (29,105,61) (30,107,64) (31,108,62) (32,106,63) (33,97,65) (34,99,68) (35,100,66) (36,98,67) | |
| (1,51,104) (2,50,102) (3,52,101) (4,49,103) (5,55,108) (6,54,106) (7,56,105) (8,53,107) (9,59,100) (10,58,98) (11,60,97) (12,57,99) (13,67,76) (14,66,74) (15,68,73) (16,65,75) (17,71,80) (18,70,78) (19,72,77) (20,69,79) (21,63,84) (22,62,82) (23,64,81) (24,61,83) (25,47,96) (26,46,94) (27,48,93) (28,45,95) (29,39,88) (30,38,86) (31,40,85) (32,37,87) (33,43,92) (34,42,90) (35,44,89) (36,41,91) | |
| (1,27,13,3,25,15) (2,28,14,4,26,16) (5,31,17,7,29,19) (6,32,18,8,30,20) (9,35,21,11,33,23) (10,36,22,12,34,24) (37,63,49,39,61,51) (38,64,50,40,62,52) (41,67,53,43,65,55) (42,68,54,44,66,56) (45,71,57,47,69,59) (46,72,58,48,70,60) (73,99,85,75,97,87) (74,100,86,76,98,88) (77,103,89,79,101,91) (78,104,90,80,102,92) (81,107,93,83,105,95) (82,108,94,84,106,96) |