Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $C_4^2:C_3$ |
| Group identifier: | $[48,3]$ |
| Signature: | $[ 0; 2, 3, 3, 4 ]$ |
| Conjugacy classes for this refined passport: | $2, 3, 4, 5$ |
| Jacobian variety group algebra decomposition: | $A_{3}^{3}\times A_{2}^{3}$ |
| Corresponding character(s): | $5, 6$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 3 of 3 generating vectors for this refined passport.
15.48-3.0.2-3-3-4.1.1
| (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) (17,18) (19,20) (21,22) (23,24) (25,26) (27,28) (29,30) (31,32) (33,34) (35,36) (37,38) (39,40) (41,42) (43,44) (45,46) (47,48) | |
| (1,17,33) (2,20,35) (3,18,36) (4,19,34) (5,30,41) (6,31,43) (7,29,44) (8,32,42) (9,21,46) (10,24,48) (11,22,47) (12,23,45) (13,28,39) (14,25,37) (15,27,38) (16,26,40) | |
| (1,46,28) (2,48,25) (3,47,27) (4,45,26) (5,39,22) (6,37,23) (7,38,21) (8,40,24) (9,34,32) (10,36,29) (11,35,31) (12,33,30) (13,42,20) (14,44,17) (15,43,19) (16,41,18) | |
| (1,14,2,13) (3,16,4,15) (5,12,6,11) (7,10,8,9) (17,30,18,29) (19,32,20,31) (21,28,22,27) (23,26,24,25) (33,46,34,45) (35,48,36,47) (37,44,38,43) (39,42,40,41) |
15.48-3.0.2-3-3-4.1.2
| (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) (17,18) (19,20) (21,22) (23,24) (25,26) (27,28) (29,30) (31,32) (33,34) (35,36) (37,38) (39,40) (41,42) (43,44) (45,46) (47,48) | |
| (1,17,33) (2,20,35) (3,18,36) (4,19,34) (5,30,41) (6,31,43) (7,29,44) (8,32,42) (9,21,46) (10,24,48) (11,22,47) (12,23,45) (13,28,39) (14,25,37) (15,27,38) (16,26,40) | |
| (1,40,31) (2,38,30) (3,37,32) (4,39,29) (5,48,19) (6,46,18) (7,45,20) (8,47,17) (9,41,25) (10,43,28) (11,44,26) (12,42,27) (13,36,23) (14,34,22) (15,33,24) (16,35,21) | |
| (1,5,3,7) (2,6,4,8) (9,13,11,15) (10,14,12,16) (17,21,19,23) (18,22,20,24) (25,29,27,31) (26,30,28,32) (33,37,35,39) (34,38,36,40) (41,45,43,47) (42,46,44,48) |
15.48-3.0.2-3-3-4.1.3
| (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) (17,18) (19,20) (21,22) (23,24) (25,26) (27,28) (29,30) (31,32) (33,34) (35,36) (37,38) (39,40) (41,42) (43,44) (45,46) (47,48) | |
| (1,17,33) (2,20,35) (3,18,36) (4,19,34) (5,30,41) (6,31,43) (7,29,44) (8,32,42) (9,21,46) (10,24,48) (11,22,47) (12,23,45) (13,28,39) (14,25,37) (15,27,38) (16,26,40) | |
| (1,43,24) (2,41,21) (3,42,23) (4,44,22) (5,34,25) (6,36,28) (7,35,26) (8,33,27) (9,37,18) (10,39,19) (11,40,17) (12,38,20) (13,45,29) (14,47,32) (15,48,30) (16,46,31) | |
| (1,9,4,12) (2,10,3,11) (5,13,8,16) (6,14,7,15) (17,25,20,28) (18,26,19,27) (21,29,24,32) (22,30,23,31) (33,41,36,44) (34,42,35,43) (37,45,40,48) (38,46,39,47) |