Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\wr C_4$ |
| Group identifier: | $[64,32]$ |
| Signature: | $[ 0; 4, 4, 8 ]$ |
| Conjugacy classes for this refined passport: | $9, 10, 12$ |
| Jacobian variety group algebra decomposition: | $E\times E^{4}\times E^{4}\times E^{4}$ |
| Corresponding character(s): | $5, 11, 12, 13$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
13.64-32.0.4-4-8.1.1
| (1,21,3,23) (2,22,4,24) (5,19,7,17) (6,20,8,18) (9,29,11,31) (10,30,12,32) (13,27,15,25) (14,28,16,26) (33,53,35,55) (34,54,36,56) (37,51,39,49) (38,52,40,50) (41,61,43,63) (42,62,44,64) (45,59,47,57) (46,60,48,58) | |
| (1,33,5,37) (2,34,6,38) (3,36,7,40) (4,35,8,39) (9,43,13,47) (10,44,14,48) (11,42,15,46) (12,41,16,45) (17,57,21,61) (18,58,22,62) (19,60,23,64) (20,59,24,63) (25,51,29,55) (26,52,30,56) (27,50,31,54) (28,49,32,53) | |
| (1,49,14,62,2,50,13,61) (3,52,16,63,4,51,15,64) (5,55,9,59,6,56,10,60) (7,54,11,58,8,53,12,57) (17,41,30,38,18,42,29,37) (19,44,32,39,20,43,31,40) (21,47,25,35,22,48,26,36) (23,46,27,34,24,45,28,33) |
13.64-32.0.4-4-8.1.2
| (1,21,3,23) (2,22,4,24) (5,19,7,17) (6,20,8,18) (9,29,11,31) (10,30,12,32) (13,27,15,25) (14,28,16,26) (33,53,35,55) (34,54,36,56) (37,51,39,49) (38,52,40,50) (41,61,43,63) (42,62,44,64) (45,59,47,57) (46,60,48,58) | |
| (1,35,6,40) (2,36,5,39) (3,34,8,37) (4,33,7,38) (9,41,14,46) (10,42,13,45) (11,44,16,47) (12,43,15,48) (17,59,22,64) (18,60,21,63) (19,58,24,61) (20,57,23,62) (25,49,30,54) (26,50,29,53) (27,52,32,55) (28,51,31,56) | |
| (1,52,13,64,2,51,14,63) (3,49,15,61,4,50,16,62) (5,54,10,57,6,53,9,58) (7,55,12,60,8,56,11,59) (17,44,29,40,18,43,30,39) (19,41,31,37,20,42,32,38) (21,46,26,33,22,45,25,34) (23,47,28,36,24,48,27,35) |