Family Information
| Genus: | $7$ |
| Quotient genus: | $0$ |
| Group name: | $S_3\times D_4$ |
| Group identifier: | $[48,38]$ |
| Signature: | $[ 0; 2, 2, 2, 4 ]$ |
| Conjugacy classes for this refined passport: | $5, 7, 8, 11$ |
| Jacobian variety group algebra decomposition: | $E\times E^{2}\times E^{4}$ |
| Corresponding character(s): | $2, 14, 15$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 4 of 4 generating vectors for this refined passport.
7.48-38.0.2-2-2-4.1.1
| (1,25) (2,27) (3,26) (4,28) (5,30) (6,29) (7,31) (8,33) (9,32) (10,34) (11,36) (12,35) (13,37) (14,39) (15,38) (16,40) (17,42) (18,41) (19,43) (20,45) (21,44) (22,46) (23,48) (24,47) | |
| (1,31) (2,33) (3,32) (4,34) (5,36) (6,35) (7,25) (8,27) (9,26) (10,28) (11,30) (12,29) (13,43) (14,45) (15,44) (16,46) (17,48) (18,47) (19,37) (20,39) (21,38) (22,40) (23,42) (24,41) | |
| (1,39) (2,38) (3,37) (4,42) (5,41) (6,40) (7,48) (8,47) (9,46) (10,45) (11,44) (12,43) (13,27) (14,26) (15,25) (16,30) (17,29) (18,28) (19,36) (20,35) (21,34) (22,33) (23,32) (24,31) | |
| (1,45,4,48) (2,44,5,47) (3,43,6,46) (7,42,10,39) (8,41,11,38) (9,40,12,37) (13,33,16,36) (14,32,17,35) (15,31,18,34) (19,30,22,27) (20,29,23,26) (21,28,24,25) |
7.48-38.0.2-2-2-4.1.2
| (1,25) (2,27) (3,26) (4,28) (5,30) (6,29) (7,31) (8,33) (9,32) (10,34) (11,36) (12,35) (13,37) (14,39) (15,38) (16,40) (17,42) (18,41) (19,43) (20,45) (21,44) (22,46) (23,48) (24,47) | |
| (1,32) (2,31) (3,33) (4,35) (5,34) (6,36) (7,26) (8,25) (9,27) (10,29) (11,28) (12,30) (13,44) (14,43) (15,45) (16,47) (17,46) (18,48) (19,38) (20,37) (21,39) (22,41) (23,40) (24,42) | |
| (1,37) (2,39) (3,38) (4,40) (5,42) (6,41) (7,46) (8,48) (9,47) (10,43) (11,45) (12,44) (13,25) (14,27) (15,26) (16,28) (17,30) (18,29) (19,34) (20,36) (21,35) (22,31) (23,33) (24,32) | |
| (1,45,4,48) (2,44,5,47) (3,43,6,46) (7,42,10,39) (8,41,11,38) (9,40,12,37) (13,33,16,36) (14,32,17,35) (15,31,18,34) (19,30,22,27) (20,29,23,26) (21,28,24,25) |
7.48-38.0.2-2-2-4.1.3
| (1,25) (2,27) (3,26) (4,28) (5,30) (6,29) (7,31) (8,33) (9,32) (10,34) (11,36) (12,35) (13,37) (14,39) (15,38) (16,40) (17,42) (18,41) (19,43) (20,45) (21,44) (22,46) (23,48) (24,47) | |
| (1,32) (2,31) (3,33) (4,35) (5,34) (6,36) (7,26) (8,25) (9,27) (10,29) (11,28) (12,30) (13,44) (14,43) (15,45) (16,47) (17,46) (18,48) (19,38) (20,37) (21,39) (22,41) (23,40) (24,42) | |
| (1,39) (2,38) (3,37) (4,42) (5,41) (6,40) (7,48) (8,47) (9,46) (10,45) (11,44) (12,43) (13,27) (14,26) (15,25) (16,30) (17,29) (18,28) (19,36) (20,35) (21,34) (22,33) (23,32) (24,31) | |
| (1,44,4,47) (2,43,5,46) (3,45,6,48) (7,41,10,38) (8,40,11,37) (9,42,12,39) (13,32,16,35) (14,31,17,34) (15,33,18,36) (19,29,22,26) (20,28,23,25) (21,30,24,27) |
7.48-38.0.2-2-2-4.1.4
| (1,25) (2,27) (3,26) (4,28) (5,30) (6,29) (7,31) (8,33) (9,32) (10,34) (11,36) (12,35) (13,37) (14,39) (15,38) (16,40) (17,42) (18,41) (19,43) (20,45) (21,44) (22,46) (23,48) (24,47) | |
| (1,32) (2,31) (3,33) (4,35) (5,34) (6,36) (7,26) (8,25) (9,27) (10,29) (11,28) (12,30) (13,44) (14,43) (15,45) (16,47) (17,46) (18,48) (19,38) (20,37) (21,39) (22,41) (23,40) (24,42) | |
| (1,38) (2,37) (3,39) (4,41) (5,40) (6,42) (7,47) (8,46) (9,48) (10,44) (11,43) (12,45) (13,26) (14,25) (15,27) (16,29) (17,28) (18,30) (19,35) (20,34) (21,36) (22,32) (23,31) (24,33) | |
| (1,43,4,46) (2,45,5,48) (3,44,6,47) (7,40,10,37) (8,42,11,39) (9,41,12,38) (13,31,16,34) (14,33,17,36) (15,32,18,35) (19,28,22,25) (20,30,23,27) (21,29,24,26) |
Displaying the unique representative of this refined passport up to braid equivalence.
7.48-38.0.2-2-2-4.1.1
| (1,25) (2,27) (3,26) (4,28) (5,30) (6,29) (7,31) (8,33) (9,32) (10,34) (11,36) (12,35) (13,37) (14,39) (15,38) (16,40) (17,42) (18,41) (19,43) (20,45) (21,44) (22,46) (23,48) (24,47) | |
| (1,31) (2,33) (3,32) (4,34) (5,36) (6,35) (7,25) (8,27) (9,26) (10,28) (11,30) (12,29) (13,43) (14,45) (15,44) (16,46) (17,48) (18,47) (19,37) (20,39) (21,38) (22,40) (23,42) (24,41) | |
| (1,39) (2,38) (3,37) (4,42) (5,41) (6,40) (7,48) (8,47) (9,46) (10,45) (11,44) (12,43) (13,27) (14,26) (15,25) (16,30) (17,29) (18,28) (19,36) (20,35) (21,34) (22,33) (23,32) (24,31) | |
| (1,45,4,48) (2,44,5,47) (3,43,6,46) (7,42,10,39) (8,41,11,38) (9,40,12,37) (13,33,16,36) (14,32,17,35) (15,31,18,34) (19,30,22,27) (20,29,23,26) (21,28,24,25) |