Family Information
| Genus: | $9$ |
| Quotient genus: | $0$ |
| Group name: | $C_2^2:A_4$ |
| Group identifier: | $[48,50]$ |
| Signature: | $[ 0; 2, 2, 3, 3 ]$ |
| Conjugacy classes for this refined passport: | $4, 6, 7, 8$ |
The full automorphism group for this family is $C_2^2:S_4$ with signature $[ 0; 2, 2, 2, 3 ]$.
| Jacobian variety group algebra decomposition: | $E^{3}\times E^{3}\times E^{3}$ |
| Corresponding character(s): | $5, 7, 8$ |
Generating vector(s)
Displaying 3 of 3 generating vectors for this refined passport.
9.48-50.0.2-2-3-3.9.1
| (1,6) (2,5) (3,8) (4,7) (9,14) (10,13) (11,16) (12,15) (17,22) (18,21) (19,24) (20,23) (25,30) (26,29) (27,32) (28,31) (33,38) (34,37) (35,40) (36,39) (41,46) (42,45) (43,48) (44,47) | |
| (1,8) (2,7) (3,6) (4,5) (9,16) (10,15) (11,14) (12,13) (17,24) (18,23) (19,22) (20,21) (25,32) (26,31) (27,30) (28,29) (33,40) (34,39) (35,38) (36,37) (41,48) (42,47) (43,46) (44,45) | |
| (1,17,33) (2,20,35) (3,18,36) (4,19,34) (5,29,41) (6,32,43) (7,30,44) (8,31,42) (9,21,45) (10,24,47) (11,22,48) (12,23,46) (13,25,37) (14,28,39) (15,26,40) (16,27,38) | |
| (1,35,18) (2,33,19) (3,34,17) (4,36,20) (5,43,30) (6,41,31) (7,42,29) (8,44,32) (9,47,22) (10,45,23) (11,46,21) (12,48,24) (13,39,26) (14,37,27) (15,38,25) (16,40,28) |
9.48-50.0.2-2-3-3.9.2
| (1,6) (2,5) (3,8) (4,7) (9,14) (10,13) (11,16) (12,15) (17,22) (18,21) (19,24) (20,23) (25,30) (26,29) (27,32) (28,31) (33,38) (34,37) (35,40) (36,39) (41,46) (42,45) (43,48) (44,47) | |
| (1,15) (2,16) (3,13) (4,14) (5,11) (6,12) (7,9) (8,10) (17,31) (18,32) (19,29) (20,30) (21,27) (22,28) (23,25) (24,26) (33,47) (34,48) (35,45) (36,46) (37,43) (38,44) (39,41) (40,42) | |
| (1,17,33) (2,20,35) (3,18,36) (4,19,34) (5,29,41) (6,32,43) (7,30,44) (8,31,42) (9,21,45) (10,24,47) (11,22,48) (12,23,46) (13,25,37) (14,28,39) (15,26,40) (16,27,38) | |
| (1,44,23) (2,42,22) (3,41,24) (4,43,21) (5,36,27) (6,34,26) (7,33,28) (8,35,25) (9,40,19) (10,38,18) (11,37,20) (12,39,17) (13,48,31) (14,46,30) (15,45,32) (16,47,29) |
9.48-50.0.2-2-3-3.9.3
| (1,6) (2,5) (3,8) (4,7) (9,14) (10,13) (11,16) (12,15) (17,22) (18,21) (19,24) (20,23) (25,30) (26,29) (27,32) (28,31) (33,38) (34,37) (35,40) (36,39) (41,46) (42,45) (43,48) (44,47) | |
| (1,10) (2,9) (3,12) (4,11) (5,14) (6,13) (7,16) (8,15) (17,26) (18,25) (19,28) (20,27) (21,30) (22,29) (23,32) (24,31) (33,42) (34,41) (35,44) (36,43) (37,46) (38,45) (39,48) (40,47) | |
| (1,17,33) (2,20,35) (3,18,36) (4,19,34) (5,29,41) (6,32,43) (7,30,44) (8,31,42) (9,21,45) (10,24,47) (11,22,48) (12,23,46) (13,25,37) (14,28,39) (15,26,40) (16,27,38) | |
| (1,45,25) (2,47,28) (3,48,26) (4,46,27) (5,37,21) (6,39,24) (7,40,22) (8,38,23) (9,33,29) (10,35,32) (11,36,30) (12,34,31) (13,41,17) (14,43,20) (15,44,18) (16,42,19) |