Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $D_{16}:C_2$ |
| Group identifier: | $[64,190]$ |
| Signature: | $[ 0; 2, 2, 2, 16 ]$ |
| Conjugacy classes for this refined passport: | $3, 4, 6, 16$ |
| Jacobian variety group algebra decomposition: | $E\times E^{2}\times A_{2}^{2}\times A_{2}^{4}$ |
| Corresponding character(s): | $3, 10, 11, 15$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
15.64-190.0.2-2-2-16.2.1
| (1,9) (2,10) (3,11) (4,12) (5,13) (6,14) (7,15) (8,16) (17,25) (18,26) (19,27) (20,28) (21,29) (22,30) (23,31) (24,32) (33,41) (34,42) (35,43) (36,44) (37,45) (38,46) (39,47) (40,48) (49,57) (50,58) (51,59) (52,60) (53,61) (54,62) (55,63) (56,64) | |
| (1,17) (2,18) (3,20) (4,19) (5,23) (6,24) (7,21) (8,22) (9,25) (10,26) (11,28) (12,27) (13,31) (14,32) (15,29) (16,30) (33,49) (34,50) (35,52) (36,51) (37,55) (38,56) (39,53) (40,54) (41,57) (42,58) (43,60) (44,59) (45,63) (46,64) (47,61) (48,62) | |
| (1,36) (2,35) (3,34) (4,33) (5,37) (6,38) (7,40) (8,39) (9,43) (10,44) (11,41) (12,42) (13,46) (14,45) (15,47) (16,48) (17,56) (18,55) (19,54) (20,53) (21,52) (22,51) (23,50) (24,49) (25,63) (26,64) (27,61) (28,62) (29,59) (30,60) (31,57) (32,58) | |
| (1,59,7,62,3,58,6,64,2,60,8,61,4,57,5,63) (9,52,15,53,11,49,14,55,10,51,16,54,12,50,13,56) (17,46,23,42,19,48,22,44,18,45,24,41,20,47,21,43) (25,37,31,33,27,39,30,35,26,38,32,34,28,40,29,36) |
15.64-190.0.2-2-2-16.2.2
| (1,9) (2,10) (3,11) (4,12) (5,13) (6,14) (7,15) (8,16) (17,25) (18,26) (19,27) (20,28) (21,29) (22,30) (23,31) (24,32) (33,41) (34,42) (35,43) (36,44) (37,45) (38,46) (39,47) (40,48) (49,57) (50,58) (51,59) (52,60) (53,61) (54,62) (55,63) (56,64) | |
| (1,21) (2,22) (3,24) (4,23) (5,17) (6,18) (7,20) (8,19) (9,29) (10,30) (11,32) (12,31) (13,25) (14,26) (15,28) (16,27) (33,53) (34,54) (35,56) (36,55) (37,49) (38,50) (39,52) (40,51) (41,61) (42,62) (43,64) (44,63) (45,57) (46,58) (47,60) (48,59) | |
| (1,36) (2,35) (3,34) (4,33) (5,37) (6,38) (7,40) (8,39) (9,43) (10,44) (11,41) (12,42) (13,46) (14,45) (15,47) (16,48) (17,56) (18,55) (19,54) (20,53) (21,52) (22,51) (23,50) (24,49) (25,63) (26,64) (27,61) (28,62) (29,59) (30,60) (31,57) (32,58) | |
| (1,63,5,57,4,61,8,60,2,64,6,58,3,62,7,59) (9,56,13,50,12,54,16,51,10,55,14,49,11,53,15,52) (17,43,21,47,20,41,24,45,18,44,22,48,19,42,23,46) (25,36,29,40,28,34,32,38,26,35,30,39,27,33,31,37) |