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: | $2, 3, 4, 8$ |
| Jacobian variety group algebra decomposition: | $A_{2}^{3}\times A_{3}^{3}$ |
| 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.
15.48-3.0.2-3-3-4.4.1
| (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) | |
| (1,48,27) (2,46,26) (3,45,28) (4,47,25) (5,37,21) (6,39,24) (7,40,22) (8,38,23) (9,36,31) (10,34,30) (11,33,32) (12,35,29) (13,44,19) (14,42,18) (15,41,20) (16,43,17) | |
| (1,16,2,15) (3,14,4,13) (5,10,6,9) (7,12,8,11) (17,32,18,31) (19,30,20,29) (21,26,22,25) (23,28,24,27) (33,48,34,47) (35,46,36,45) (37,42,38,41) (39,44,40,43) |
15.48-3.0.2-3-3-4.4.2
| (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) | |
| (1,37,29) (2,39,32) (3,40,30) (4,38,31) (5,45,17) (6,47,20) (7,48,18) (8,46,19) (9,44,27) (10,42,26) (11,41,28) (12,43,25) (13,33,21) (14,35,24) (15,36,22) (16,34,23) | |
| (1,8,3,6) (2,7,4,5) (9,16,11,14) (10,15,12,13) (17,24,19,22) (18,23,20,21) (25,32,27,30) (26,31,28,29) (33,40,35,38) (34,39,36,37) (41,48,43,46) (42,47,44,45) |
15.48-3.0.2-3-3-4.4.3
| (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) | |
| (1,44,21) (2,42,24) (3,41,22) (4,43,23) (5,33,28) (6,35,25) (7,36,27) (8,34,26) (9,38,19) (10,40,18) (11,39,20) (12,37,17) (13,46,32) (14,48,29) (15,47,31) (16,45,30) | |
| (1,10,4,11) (2,9,3,12) (5,14,8,15) (6,13,7,16) (17,26,20,27) (18,25,19,28) (21,30,24,31) (22,29,23,32) (33,42,36,43) (34,41,35,44) (37,46,40,47) (38,45,39,48) |