Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_2^3.D_4$ |
| Group identifier: | $[64,33]$ |
| Signature: | $[ 0; 4, 4, 8 ]$ |
| Conjugacy classes for this refined passport: | $9, 11, 13$ |
| Jacobian variety group algebra decomposition: | $E\times E^{4}\times A_{2}^{4}$ |
| Corresponding character(s): | $5, 11, 12$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
13.64-33.0.4-4-8.6.1
| (1,21,4,24) (2,22,3,23) (5,19,8,18) (6,20,7,17) (9,29,12,32) (10,30,11,31) (13,27,16,26) (14,28,15,25) (33,53,36,56) (34,54,35,55) (37,51,40,50) (38,52,39,49) (41,61,44,64) (42,62,43,63) (45,59,48,58) (46,60,47,57) | |
| (1,37,5,33) (2,38,6,34) (3,40,7,36) (4,39,8,35) (9,47,13,43) (10,48,14,44) (11,46,15,42) (12,45,16,41) (17,61,21,57) (18,62,22,58) (19,64,23,60) (20,63,24,59) (25,55,29,51) (26,56,30,52) (27,54,31,50) (28,53,32,49) | |
| (1,56,16,58,2,55,15,57) (3,53,14,59,4,54,13,60) (5,50,11,63,6,49,12,64) (7,51,9,62,8,52,10,61) (17,47,32,33,18,48,31,34) (19,46,30,36,20,45,29,35) (21,41,27,40,22,42,28,39) (23,44,25,37,24,43,26,38) |
13.64-33.0.4-4-8.6.2
| (1,21,4,24) (2,22,3,23) (5,19,8,18) (6,20,7,17) (9,29,12,32) (10,30,11,31) (13,27,16,26) (14,28,15,25) (33,53,36,56) (34,54,35,55) (37,51,40,50) (38,52,39,49) (41,61,44,64) (42,62,43,63) (45,59,48,58) (46,60,47,57) | |
| (1,40,6,35) (2,39,5,36) (3,37,8,34) (4,38,7,33) (9,46,14,41) (10,45,13,42) (11,47,16,44) (12,48,15,43) (17,64,22,59) (18,63,21,60) (19,61,24,58) (20,62,23,57) (25,54,30,49) (26,53,29,50) (27,55,32,52) (28,56,31,51) | |
| (1,54,15,59,2,53,16,60) (3,55,13,58,4,56,14,57) (5,52,12,62,6,51,11,61) (7,49,10,63,8,50,9,64) (17,45,31,36,18,46,32,35) (19,48,29,33,20,47,30,34) (21,43,28,37,22,44,27,38) (23,42,26,40,24,41,25,39) |