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: | $6, 7, 8, 11$ |
| 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.
7.48-38.0.2-2-2-4.2.1
| (1,28) (2,30) (3,29) (4,25) (5,27) (6,26) (7,34) (8,36) (9,35) (10,31) (11,33) (12,32) (13,40) (14,42) (15,41) (16,37) (17,39) (18,38) (19,46) (20,48) (21,47) (22,43) (23,45) (24,44) | |
| (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) | |
| (1,48,4,45) (2,47,5,44) (3,46,6,43) (7,39,10,42) (8,38,11,41) (9,37,12,40) (13,36,16,33) (14,35,17,32) (15,34,18,31) (19,27,22,30) (20,26,23,29) (21,25,24,28) |
7.48-38.0.2-2-2-4.2.2
| (1,28) (2,30) (3,29) (4,25) (5,27) (6,26) (7,34) (8,36) (9,35) (10,31) (11,33) (12,32) (13,40) (14,42) (15,41) (16,37) (17,39) (18,38) (19,46) (20,48) (21,47) (22,43) (23,45) (24,44) | |
| (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) | |
| (1,48,4,45) (2,47,5,44) (3,46,6,43) (7,39,10,42) (8,38,11,41) (9,37,12,40) (13,36,16,33) (14,35,17,32) (15,34,18,31) (19,27,22,30) (20,26,23,29) (21,25,24,28) |
7.48-38.0.2-2-2-4.2.3
| (1,28) (2,30) (3,29) (4,25) (5,27) (6,26) (7,34) (8,36) (9,35) (10,31) (11,33) (12,32) (13,40) (14,42) (15,41) (16,37) (17,39) (18,38) (19,46) (20,48) (21,47) (22,43) (23,45) (24,44) | |
| (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) | |
| (1,47,4,44) (2,46,5,43) (3,48,6,45) (7,38,10,41) (8,37,11,40) (9,39,12,42) (13,35,16,32) (14,34,17,31) (15,36,18,33) (19,26,22,29) (20,25,23,28) (21,27,24,30) |
7.48-38.0.2-2-2-4.2.4
| (1,28) (2,30) (3,29) (4,25) (5,27) (6,26) (7,34) (8,36) (9,35) (10,31) (11,33) (12,32) (13,40) (14,42) (15,41) (16,37) (17,39) (18,38) (19,46) (20,48) (21,47) (22,43) (23,45) (24,44) | |
| (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) | |
| (1,46,4,43) (2,48,5,45) (3,47,6,44) (7,37,10,40) (8,39,11,42) (9,38,12,41) (13,34,16,31) (14,36,17,33) (15,35,18,32) (19,25,22,28) (20,27,23,30) (21,26,24,29) |
Displaying the unique representative of this refined passport up to braid equivalence.
7.48-38.0.2-2-2-4.2.1
| (1,28) (2,30) (3,29) (4,25) (5,27) (6,26) (7,34) (8,36) (9,35) (10,31) (11,33) (12,32) (13,40) (14,42) (15,41) (16,37) (17,39) (18,38) (19,46) (20,48) (21,47) (22,43) (23,45) (24,44) | |
| (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) | |
| (1,48,4,45) (2,47,5,44) (3,46,6,43) (7,39,10,42) (8,38,11,41) (9,37,12,40) (13,36,16,33) (14,35,17,32) (15,34,18,31) (19,27,22,30) (20,26,23,29) (21,25,24,28) |