Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $C_2^4:C_5$ |
| Group identifier: | $[80,49]$ |
| Signature: | $[ 0; 2, 5, 5 ]$ |
| Conjugacy classes for this refined passport: | $3, 6, 7$ |
The full automorphism group for this family is $C_2^4:D_5$ with signature $[ 0; 2, 4, 5 ]$.
| Jacobian variety group algebra decomposition: | $E^{5}$ |
| Corresponding character(s): | $6$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.80-49.0.2-5-5.4.1
| (1,3) (2,4) (5,7) (6,8) (9,11) (10,12) (13,15) (14,16) (17,19) (18,20) (21,23) (22,24) (25,27) (26,28) (29,31) (30,32) (33,35) (34,36) (37,39) (38,40) (41,43) (42,44) (45,47) (46,48) (49,51) (50,52) (53,55) (54,56) (57,59) (58,60) (61,63) (62,64) (65,67) (66,68) (69,71) (70,72) (73,75) (74,76) (77,79) (78,80) | |
| (1,33,65,17,49) (2,43,73,32,61) (3,40,68,30,60) (4,46,76,19,56) (5,47,71,26,54) (6,37,79,23,58) (7,42,70,21,63) (8,36,78,28,51) (9,48,77,18,59) (10,38,69,31,55) (11,41,80,29,50) (12,35,72,20,62) (13,34,75,25,64) (14,44,67,24,52) (15,39,74,22,53) (16,45,66,27,57) | |
| (1,51,26,69,40) (2,63,23,77,46) (3,58,21,72,33) (4,54,28,80,43) (5,56,17,67,42) (6,60,32,75,36) (7,61,30,66,47) (8,49,19,74,37) (9,57,25,73,41) (10,53,24,65,35) (11,52,22,76,48) (12,64,27,68,38) (13,62,18,79,39) (14,50,31,71,45) (15,55,29,78,34) (16,59,20,70,44) |