Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_8:D_4$ |
| Group identifier: | $[64,147]$ |
| Signature: | $[ 0; 2, 2, 2, 8 ]$ |
| Conjugacy classes for this refined passport: | $6, 7, 8, 22$ |
| Jacobian variety group algebra decomposition: | $E\times E^{2}\times E^{2}\times A_{2}^{2}\times A_{2}^{2}$ |
| Corresponding character(s): | $6, 11, 13, 16, 20$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
13.64-147.0.2-2-2-8.8.1
| (1,10) (2,9) (3,12) (4,11) (5,14) (6,13) (7,16) (8,15) (17,26) (18,25) (19,28) (20,27) (21,30) (22,29) (23,32) (24,31) (33,42) (34,41) (35,44) (36,43) (37,46) (38,45) (39,48) (40,47) (49,58) (50,57) (51,60) (52,59) (53,62) (54,61) (55,64) (56,63) | |
| (1,33) (2,34) (3,35) (4,36) (5,38) (6,37) (7,40) (8,39) (9,43) (10,44) (11,41) (12,42) (13,48) (14,47) (15,46) (16,45) (17,53) (18,54) (19,55) (20,56) (21,49) (22,50) (23,51) (24,52) (25,63) (26,64) (27,61) (28,62) (29,59) (30,60) (31,57) (32,58) | |
| (1,50) (2,49) (3,52) (4,51) (5,53) (6,54) (7,55) (8,56) (9,60) (10,59) (11,58) (12,57) (13,63) (14,64) (15,61) (16,62) (17,34) (18,33) (19,36) (20,35) (21,37) (22,38) (23,39) (24,40) (25,44) (26,43) (27,42) (28,41) (29,47) (30,48) (31,45) (32,46) | |
| (1,29,5,26,2,30,6,25) (3,31,7,28,4,32,8,27) (9,21,13,18,10,22,14,17) (11,23,15,20,12,24,16,19) (33,61,37,58,34,62,38,57) (35,63,39,60,36,64,40,59) (41,53,45,50,42,54,46,49) (43,55,47,52,44,56,48,51) |
13.64-147.0.2-2-2-8.8.2
| (1,10) (2,9) (3,12) (4,11) (5,14) (6,13) (7,16) (8,15) (17,26) (18,25) (19,28) (20,27) (21,30) (22,29) (23,32) (24,31) (33,42) (34,41) (35,44) (36,43) (37,46) (38,45) (39,48) (40,47) (49,58) (50,57) (51,60) (52,59) (53,62) (54,61) (55,64) (56,63) | |
| (1,33) (2,34) (3,35) (4,36) (5,38) (6,37) (7,40) (8,39) (9,43) (10,44) (11,41) (12,42) (13,48) (14,47) (15,46) (16,45) (17,53) (18,54) (19,55) (20,56) (21,49) (22,50) (23,51) (24,52) (25,63) (26,64) (27,61) (28,62) (29,59) (30,60) (31,57) (32,58) | |
| (1,56) (2,55) (3,54) (4,53) (5,52) (6,51) (7,50) (8,49) (9,62) (10,61) (11,64) (12,63) (13,58) (14,57) (15,60) (16,59) (17,40) (18,39) (19,38) (20,37) (21,36) (22,35) (23,34) (24,33) (25,46) (26,45) (27,48) (28,47) (29,42) (30,41) (31,44) (32,43) | |
| (1,27,6,32,2,28,5,31) (3,25,8,30,4,26,7,29) (9,19,14,24,10,20,13,23) (11,17,16,22,12,18,15,21) (33,59,38,64,34,60,37,63) (35,57,40,62,36,58,39,61) (41,51,46,56,42,52,45,55) (43,49,48,54,44,50,47,53) |