Family Information
| Genus: | $14$ |
| Quotient genus: | $0$ |
| Group name: | $C_3:D_8$ |
| Group identifier: | $[48,15]$ |
| Signature: | $[ 0; 2, 2, 3, 8 ]$ |
| Conjugacy classes for this refined passport: | $3, 4, 5, 11$ |
| Jacobian variety group algebra decomposition: | $E^{2}\times A_{2}^{2}\times A_{4}^{2}$ |
| Corresponding character(s): | $6, 8, 12$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | yes |
| Trigonal automorphism: | (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) |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
14.48-15.0.2-2-3-8.2.1
| (1,13) (2,14) (3,15) (4,16) (5,17) (6,18) (7,22) (8,23) (9,24) (10,19) (11,20) (12,21) (25,37) (26,38) (27,39) (28,40) (29,41) (30,42) (31,46) (32,47) (33,48) (34,43) (35,44) (36,45) | |
| (1,28) (2,30) (3,29) (4,25) (5,27) (6,26) (7,31) (8,33) (9,32) (10,34) (11,36) (12,35) (13,46) (14,48) (15,47) (16,43) (17,45) (18,44) (19,40) (20,42) (21,41) (22,37) (23,39) (24,38) | |
| (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) | |
| (1,41,10,44,4,38,7,47) (2,40,11,43,5,37,8,46) (3,42,12,45,6,39,9,48) (13,32,22,26,16,35,19,29) (14,31,23,25,17,34,20,28) (15,33,24,27,18,36,21,30) |
14.48-15.0.2-2-3-8.2.2
| (1,13) (2,14) (3,15) (4,16) (5,17) (6,18) (7,22) (8,23) (9,24) (10,19) (11,20) (12,21) (25,37) (26,38) (27,39) (28,40) (29,41) (30,42) (31,46) (32,47) (33,48) (34,43) (35,44) (36,45) | |
| (1,28) (2,30) (3,29) (4,25) (5,27) (6,26) (7,31) (8,33) (9,32) (10,34) (11,36) (12,35) (13,46) (14,48) (15,47) (16,43) (17,45) (18,44) (19,40) (20,42) (21,41) (22,37) (23,39) (24,38) | |
| (1,3,2) (4,6,5) (7,9,8) (10,12,11) (13,15,14) (16,18,17) (19,21,20) (22,24,23) (25,27,26) (28,30,29) (31,33,32) (34,36,35) (37,39,38) (40,42,41) (43,45,44) (46,48,47) | |
| (1,42,10,45,4,39,7,48) (2,41,11,44,5,38,8,47) (3,40,12,43,6,37,9,46) (13,33,22,27,16,36,19,30) (14,32,23,26,17,35,20,29) (15,31,24,25,18,34,21,28) |