Family Information
| Genus: | $11$ |
| Quotient genus: | $0$ |
| Group name: | $D_{12}:C_2$ |
| Group identifier: | $[48,37]$ |
| Signature: | $[ 0; 2, 2, 2, 12 ]$ |
| Conjugacy classes for this refined passport: | $3, 4, 5, 15$ |
| Jacobian variety group algebra decomposition: | $E\times E^{2}\times E^{2}\times E^{2}\times A_{2}^{2}$ |
| Corresponding character(s): | $6, 11, 12, 13, 15$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
11.48-37.0.2-2-2-12.1.1
| (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24) (25,31) (26,32) (27,33) (28,34) (29,35) (30,36) (37,43) (38,44) (39,45) (40,46) (41,47) (42,48) | |
| (1,25) (2,27) (3,26) (4,28) (5,30) (6,29) (7,34) (8,36) (9,35) (10,31) (11,33) (12,32) (13,37) (14,39) (15,38) (16,40) (17,42) (18,41) (19,46) (20,48) (21,47) (22,43) (23,45) (24,44) | |
| (1,48) (2,47) (3,46) (4,45) (5,44) (6,43) (7,39) (8,38) (9,37) (10,42) (11,41) (12,40) (13,33) (14,32) (15,31) (16,36) (17,35) (18,34) (19,30) (20,29) (21,28) (22,27) (23,26) (24,25) | |
| (1,14,6,16,2,15,4,17,3,13,5,18) (7,20,12,22,8,21,10,23,9,19,11,24) (25,38,30,40,26,39,28,41,27,37,29,42) (31,44,36,46,32,45,34,47,33,43,35,48) |
11.48-37.0.2-2-2-12.1.2
| (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24) (25,31) (26,32) (27,33) (28,34) (29,35) (30,36) (37,43) (38,44) (39,45) (40,46) (41,47) (42,48) | |
| (1,25) (2,27) (3,26) (4,28) (5,30) (6,29) (7,34) (8,36) (9,35) (10,31) (11,33) (12,32) (13,37) (14,39) (15,38) (16,40) (17,42) (18,41) (19,46) (20,48) (21,47) (22,43) (23,45) (24,44) | |
| (1,47) (2,46) (3,48) (4,44) (5,43) (6,45) (7,38) (8,37) (9,39) (10,41) (11,40) (12,42) (13,32) (14,31) (15,33) (16,35) (17,34) (18,36) (19,29) (20,28) (21,30) (22,26) (23,25) (24,27) | |
| (1,15,5,16,3,14,4,18,2,13,6,17) (7,21,11,22,9,20,10,24,8,19,12,23) (25,39,29,40,27,38,28,42,26,37,30,41) (31,45,35,46,33,44,34,48,32,43,36,47) |